math.exp on complex, imaginary part

Time bar (total: 17.5s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

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)

sample932.0ms (5.3%)

Memory
-13.2MiB live, 1 364.4MiB allocated
Samples
686.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 398.0ms
ival-sin: 211.0ms (53.1% of total)
ival-mult: 92.0ms (23.1% of total)
ival-exp: 85.0ms (21.4% of total)
ival-true: 6.0ms (1.5% of total)
ival-assert: 3.0ms (0.8% of total)
Bogosity

explain68.0ms (0.4%)

Memory
21.4MiB live, 140.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f64 (exp.f64 re) (sin.f64 im))
00-0-(sin.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
38.0ms512×0valid
Compiler

Compiled 33 to 19 computations (42.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-sin: 11.0ms (42% of total)
ival-exp: 8.0ms (30.6% of total)
ival-mult: 7.0ms (26.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess26.0ms (0.2%)

Memory
-21.9MiB live, 53.6MiB allocated
Algorithm
egg-herbie
Rules
60×associate-*r*
52×unsub-neg
48×associate-*l*
42×distribute-lft-neg-in
38×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01531
13829
27727
314827
428127
542827
645127
746527
847227
947227
055
085
195
095
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(*.f64 (exp.f64 re) (sin.f64 im))
Outputs
(*.f64 (exp.f64 re) (sin.f64 im))
Symmetry

(negabs im)

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify3.0ms (0%)

Memory
8.7MiB live, 8.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize23.0ms (0.1%)

Memory
1.5MiB live, 39.9MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(exp.f64 re)
accuracy0.00390625
(sin.f64 im)
accuracy0.015625
(*.f64 (exp.f64 re) (sin.f64 im))
Samples
17.0ms256×0valid
Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-sin: 7.0ms (64.5% of total)
ival-exp: 2.0ms (18.4% of total)
ival-mult: 2.0ms (18.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0%)

Memory
8.5MiB live, 8.5MiB allocated
Counts
3 → 48
Calls
Call 1
Inputs
#s(alt (*.f64 (exp.f64 re) (sin.f64 im)) (patch (*.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())
#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())
#s(alt (sin.f64 im) (patch (sin.f64 im) #<representation binary64>) () ())
Outputs
#s(alt (sin im) (taylor 0 re) (#s(alt (*.f64 (exp.f64 re) (sin.f64 im)) (patch (*.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (sin im))) (taylor 0 re) (#s(alt (*.f64 (exp.f64 re) (sin.f64 im)) (patch (*.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) (taylor 0 re) (#s(alt (*.f64 (exp.f64 re) (sin.f64 im)) (patch (*.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im))))))) (taylor 0 re) (#s(alt (*.f64 (exp.f64 re) (sin.f64 im)) (patch (*.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf re) (#s(alt (*.f64 (exp.f64 re) (sin.f64 im)) (patch (*.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf re) (#s(alt (*.f64 (exp.f64 re) (sin.f64 im)) (patch (*.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf re) (#s(alt (*.f64 (exp.f64 re) (sin.f64 im)) (patch (*.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf re) (#s(alt (*.f64 (exp.f64 re) (sin.f64 im)) (patch (*.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf re) (#s(alt (*.f64 (exp.f64 re) (sin.f64 im)) (patch (*.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf re) (#s(alt (*.f64 (exp.f64 re) (sin.f64 im)) (patch (*.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf re) (#s(alt (*.f64 (exp.f64 re) (sin.f64 im)) (patch (*.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf re) (#s(alt (*.f64 (exp.f64 re) (sin.f64 im)) (patch (*.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* im (exp re)) (taylor 0 im) (#s(alt (*.f64 (exp.f64 re) (sin.f64 im)) (patch (*.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re))))) (taylor 0 im) (#s(alt (*.f64 (exp.f64 re) (sin.f64 im)) (patch (*.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re))))))) (taylor 0 im) (#s(alt (*.f64 (exp.f64 re) (sin.f64 im)) (patch (*.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re)))))))) (taylor 0 im) (#s(alt (*.f64 (exp.f64 re) (sin.f64 im)) (patch (*.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf im) (#s(alt (*.f64 (exp.f64 re) (sin.f64 im)) (patch (*.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf im) (#s(alt (*.f64 (exp.f64 re) (sin.f64 im)) (patch (*.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf im) (#s(alt (*.f64 (exp.f64 re) (sin.f64 im)) (patch (*.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf im) (#s(alt (*.f64 (exp.f64 re) (sin.f64 im)) (patch (*.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt (*.f64 (exp.f64 re) (sin.f64 im)) (patch (*.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt (*.f64 (exp.f64 re) (sin.f64 im)) (patch (*.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt (*.f64 (exp.f64 re) (sin.f64 im)) (patch (*.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt (*.f64 (exp.f64 re) (sin.f64 im)) (patch (*.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (+ 1 re) (taylor 0 re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* re (+ 1 (* 1/2 re)))) (taylor 0 re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) (taylor 0 re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (exp re) (taylor inf re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (exp re) (taylor inf re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (exp re) (taylor inf re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (exp re) (taylor inf re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (exp re) (taylor -inf re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (exp re) (taylor -inf re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (exp re) (taylor -inf re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (exp re) (taylor -inf re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt im (taylor 0 im) (#s(alt (sin.f64 im) (patch (sin.f64 im) #<representation binary64>) () ())) ())
#s(alt (* im (+ 1 (* -1/6 (pow im 2)))) (taylor 0 im) (#s(alt (sin.f64 im) (patch (sin.f64 im) #<representation binary64>) () ())) ())
#s(alt (* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6)))) (taylor 0 im) (#s(alt (sin.f64 im) (patch (sin.f64 im) #<representation binary64>) () ())) ())
#s(alt (* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)))) (taylor 0 im) (#s(alt (sin.f64 im) (patch (sin.f64 im) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor inf im) (#s(alt (sin.f64 im) (patch (sin.f64 im) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor inf im) (#s(alt (sin.f64 im) (patch (sin.f64 im) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor inf im) (#s(alt (sin.f64 im) (patch (sin.f64 im) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor inf im) (#s(alt (sin.f64 im) (patch (sin.f64 im) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor -inf im) (#s(alt (sin.f64 im) (patch (sin.f64 im) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor -inf im) (#s(alt (sin.f64 im) (patch (sin.f64 im) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor -inf im) (#s(alt (sin.f64 im) (patch (sin.f64 im) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor -inf im) (#s(alt (sin.f64 im) (patch (sin.f64 im) #<representation binary64>) () ())) ())
Calls

12 calls:

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

simplify338.0ms (1.9%)

Memory
-32.8MiB live, 369.8MiB allocated
Algorithm
egg-herbie
Rules
15 566×lower-fma.f64
15 566×lower-fma.f32
4 310×lower-*.f64
4 310×lower-*.f32
2 896×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071297
1221286
2586274
31574268
42436268
53110268
63581268
73732268
84021268
95977268
08264246
Stop Event
iter limit
node limit
Counts
48 → 47
Calls
Call 1
Inputs
(sin im)
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* im (exp re))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin 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)
im
(* im (+ 1 (* -1/6 (pow im 2))))
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(sin im)
(sin im)
(sin im)
(sin im)
(sin im)
(sin im)
(sin im)
(sin im)
Outputs
(sin im)
(sin.f64 im)
(+ (sin im) (* re (sin im)))
(*.f64 (sin.f64 im) (+.f64 re #s(literal 1 binary64)))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(*.f64 (sin.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(*.f64 (sin.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)))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(*.f64 (exp.f64 re) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(*.f64 im (*.f64 (exp.f64 re) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(*.f64 im (*.f64 (exp.f64 re) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 re #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
im
(* im (+ 1 (* -1/6 (pow im 2))))
(fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))
(fma.f64 (*.f64 im im) (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) im)
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) im)
(sin im)
(sin.f64 im)
(sin im)
(sin.f64 im)
(sin im)
(sin.f64 im)
(sin im)
(sin.f64 im)
(sin im)
(sin.f64 im)
(sin im)
(sin.f64 im)
(sin im)
(sin.f64 im)
(sin im)
(sin.f64 im)

rewrite15.0ms (0.1%)

Memory
29.0MiB live, 29.0MiB allocated
Rules
lower-*.f32
lift-sin.f64
lift-exp.f64
lower-*.f64
lower-sin.f32
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) (sin.f64 im))
(exp.f64 re)
(sin.f64 im)
Outputs
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(exp.f64 re)
(sin.f64 im)

eval8.0ms (0%)

Memory
-26.3MiB live, 12.1MiB allocated
Compiler

Compiled 393 to 47 computations (88% saved)

prune8.0ms (0%)

Memory
19.7MiB live, 19.7MiB allocated
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New45651
Fresh000
Picked011
Done000
Total45752
Accuracy
100.0%
Counts
52 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (exp.f64 re) (sin.f64 im))
64.2%
(*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
63.4%
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im))
61.8%
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im))
49.6%
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im))
71.4%
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))
49.0%
#s(approx (* (exp re) (sin im)) (sin.f64 im))
Compiler

Compiled 135 to 83 computations (38.5% saved)

simplify13.0ms (0.1%)

Memory
-20.7MiB live, 18.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)
cost-diff0
#s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))
cost-diff0
(exp.f64 re)
cost-diff0
(*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
cost-diff0
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
cost-diff0
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff0
#s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im))
cost-diff0
(sin.f64 im)
cost-diff0
(+.f64 re #s(literal 1 binary64))
cost-diff0
#s(approx (exp re) (+.f64 re #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im))
cost-diff0
(sin.f64 im)
cost-diff0
#s(approx (* (exp re) (sin im)) (sin.f64 im))
cost-diff0
(exp.f64 re)
cost-diff0
(*.f64 im (exp.f64 re))
cost-diff0
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))
Rules
180×lower-*.f32
168×lower-*.f64
104×lower-fma.f32
98×lower-fma.f64
58×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025138
042138
167138
294135
3123135
4134135
5137135
6164135
7164135
8176135
9176135
10188135
11188135
0188132
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))
(*.f64 im (exp.f64 re))
im
(exp.f64 re)
re
#s(approx (* (exp re) (sin im)) (sin.f64 im))
(sin.f64 im)
im
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (exp re) (+.f64 re #s(literal 1 binary64)))
(+.f64 re #s(literal 1 binary64))
re
#s(literal 1 binary64)
(sin.f64 im)
im
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im))
#s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
re
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(sin.f64 im)
im
(*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(exp.f64 re)
re
#s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))
(fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)
im
(*.f64 #s(literal -1/6 binary64) (*.f64 im im))
#s(literal -1/6 binary64)
(*.f64 im im)
Outputs
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))
(*.f64 im (exp.f64 re))
im
(exp.f64 re)
re
#s(approx (* (exp re) (sin im)) (sin.f64 im))
(sin.f64 im)
im
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im))
(*.f64 (sin.f64 im) #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))
#s(approx (exp re) (+.f64 re #s(literal 1 binary64)))
(+.f64 re #s(literal 1 binary64))
re
#s(literal 1 binary64)
(sin.f64 im)
im
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im))
(*.f64 (sin.f64 im) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
re
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(sin.f64 im)
im
(*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(exp.f64 re)
re
#s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))
(fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)
im
(*.f64 #s(literal -1/6 binary64) (*.f64 im im))
#s(literal -1/6 binary64)
(*.f64 im im)

localize95.0ms (0.5%)

Memory
27.2MiB live, 109.5MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.015625
(*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
accuracy0.046875
(fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)
accuracy0.171875
(*.f64 #s(literal -1/6 binary64) (*.f64 im im))
accuracy29.263991431356207
#s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))
accuracy0
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
accuracy0.00390625
(sin.f64 im)
accuracy0.015625
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im))
accuracy24.42205211720156
#s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
accuracy0
(+.f64 re #s(literal 1 binary64))
accuracy0.00390625
(sin.f64 im)
accuracy0.015625
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im))
accuracy32.102502567154644
#s(approx (exp re) (+.f64 re #s(literal 1 binary64)))
accuracy0.00390625
(sin.f64 im)
accuracy32.643500548563864
#s(approx (* (exp re) (sin im)) (sin.f64 im))
accuracy0
(exp.f64 re)
accuracy0.015625
(*.f64 im (exp.f64 re))
accuracy18.29496350702152
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))
Samples
70.0ms256×0valid
Compiler

Compiled 94 to 20 computations (78.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-mult: 10.0ms (32.7% of total)
ival-sin: 9.0ms (29.4% of total)
ival-add: 5.0ms (16.3% of total)
const: 4.0ms (13.1% of total)
ival-exp: 2.0ms (6.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory
7.8MiB live, 7.8MiB allocated
Counts
16 → 264
Calls
Call 1
Inputs
#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) #<representation binary64>) () ())
#s(alt (*.f64 im (exp.f64 re)) (patch (*.f64 im (exp.f64 re)) #<representation binary64>) () ())
#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())
#s(alt #s(approx (* (exp re) (sin im)) (sin.f64 im)) (patch #s(approx (* (exp re) (sin im)) (sin.f64 im)) #<representation binary64>) () ())
#s(alt (sin.f64 im) (patch (sin.f64 im) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())
#s(alt #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (patch #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 re #s(literal 1 binary64)) (patch (+.f64 re #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())
#s(alt #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (patch (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #<representation binary64>) () ())
#s(alt #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) #<representation binary64>) () ())
#s(alt (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (patch (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #<representation binary64>) () ())
Outputs
#s(alt (sin im) (taylor 0 re) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (sin im))) (taylor 0 re) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) (taylor 0 re) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im))))))) (taylor 0 re) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf re) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf re) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf re) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf re) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf re) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf re) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf re) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf re) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) #<representation binary64>) () ())) ())
#s(alt (* im (exp re)) (taylor 0 im) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) #<representation binary64>) () ())) ())
#s(alt (* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re))))) (taylor 0 im) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) #<representation binary64>) () ())) ())
#s(alt (* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re))))))) (taylor 0 im) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) #<representation binary64>) () ())) ())
#s(alt (* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re)))))))) (taylor 0 im) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf im) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf im) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf im) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf im) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) #<representation binary64>) () ())) ())
#s(alt (* im (exp re)) (taylor 0 im) (#s(alt (*.f64 im (exp.f64 re)) (patch (*.f64 im (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* im (exp re)) (taylor 0 im) (#s(alt (*.f64 im (exp.f64 re)) (patch (*.f64 im (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* im (exp re)) (taylor 0 im) (#s(alt (*.f64 im (exp.f64 re)) (patch (*.f64 im (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* im (exp re)) (taylor 0 im) (#s(alt (*.f64 im (exp.f64 re)) (patch (*.f64 im (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* im (exp re)) (taylor inf im) (#s(alt (*.f64 im (exp.f64 re)) (patch (*.f64 im (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* im (exp re)) (taylor inf im) (#s(alt (*.f64 im (exp.f64 re)) (patch (*.f64 im (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* im (exp re)) (taylor inf im) (#s(alt (*.f64 im (exp.f64 re)) (patch (*.f64 im (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* im (exp re)) (taylor inf im) (#s(alt (*.f64 im (exp.f64 re)) (patch (*.f64 im (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* im (exp re)) (taylor -inf im) (#s(alt (*.f64 im (exp.f64 re)) (patch (*.f64 im (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* im (exp re)) (taylor -inf im) (#s(alt (*.f64 im (exp.f64 re)) (patch (*.f64 im (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* im (exp re)) (taylor -inf im) (#s(alt (*.f64 im (exp.f64 re)) (patch (*.f64 im (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* im (exp re)) (taylor -inf im) (#s(alt (*.f64 im (exp.f64 re)) (patch (*.f64 im (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt im (taylor 0 re) (#s(alt (*.f64 im (exp.f64 re)) (patch (*.f64 im (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (+ im (* im re)) (taylor 0 re) (#s(alt (*.f64 im (exp.f64 re)) (patch (*.f64 im (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (+ im (* re (+ im (* 1/2 (* im re))))) (taylor 0 re) (#s(alt (*.f64 im (exp.f64 re)) (patch (*.f64 im (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im)))))) (taylor 0 re) (#s(alt (*.f64 im (exp.f64 re)) (patch (*.f64 im (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* im (exp re)) (taylor inf re) (#s(alt (*.f64 im (exp.f64 re)) (patch (*.f64 im (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* im (exp re)) (taylor inf re) (#s(alt (*.f64 im (exp.f64 re)) (patch (*.f64 im (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* im (exp re)) (taylor inf re) (#s(alt (*.f64 im (exp.f64 re)) (patch (*.f64 im (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* im (exp re)) (taylor inf re) (#s(alt (*.f64 im (exp.f64 re)) (patch (*.f64 im (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* im (exp re)) (taylor -inf re) (#s(alt (*.f64 im (exp.f64 re)) (patch (*.f64 im (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* im (exp re)) (taylor -inf re) (#s(alt (*.f64 im (exp.f64 re)) (patch (*.f64 im (exp.f64 re)) #<representation binary64>) () ())) ())
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#s(alt (+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) (taylor 0 re) (#s(alt (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (patch (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im))))))) (taylor 0 re) (#s(alt (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (patch (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf re) (#s(alt (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (patch (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf re) (#s(alt (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (patch (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf re) (#s(alt (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (patch (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf re) (#s(alt (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (patch (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf re) (#s(alt (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (patch (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf re) (#s(alt (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (patch (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf re) (#s(alt (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (patch (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf re) (#s(alt (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (patch (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #<representation binary64>) () ())) ())
#s(alt (* im (exp re)) (taylor 0 im) (#s(alt (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (patch (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #<representation binary64>) () ())) ())
#s(alt (* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re))))) (taylor 0 im) (#s(alt (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (patch (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #<representation binary64>) () ())) ())
#s(alt (* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re))))))) (taylor 0 im) (#s(alt (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (patch (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #<representation binary64>) () ())) ())
#s(alt (* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re)))))))) (taylor 0 im) (#s(alt (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (patch (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf im) (#s(alt (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (patch (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf im) (#s(alt (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (patch (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf im) (#s(alt (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (patch (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf im) (#s(alt (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (patch (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (patch (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (patch (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (patch (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (patch (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #<representation binary64>) () ())) ())
#s(alt im (taylor 0 im) (#s(alt #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) #<representation binary64>) () ())) ())
#s(alt (* im (+ 1 (* -1/6 (pow im 2)))) (taylor 0 im) (#s(alt #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) #<representation binary64>) () ())) ())
#s(alt (* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6)))) (taylor 0 im) (#s(alt #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) #<representation binary64>) () ())) ())
#s(alt (* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)))) (taylor 0 im) (#s(alt #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor inf im) (#s(alt #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor inf im) (#s(alt #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor inf im) (#s(alt #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor inf im) (#s(alt #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor -inf im) (#s(alt #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor -inf im) (#s(alt #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor -inf im) (#s(alt #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor -inf im) (#s(alt #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) #<representation binary64>) () ())) ())
#s(alt im (taylor 0 im) (#s(alt (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (patch (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) #<representation binary64>) () ())) ())
#s(alt (* im (+ 1 (* -1/6 (pow im 2)))) (taylor 0 im) (#s(alt (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (patch (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) #<representation binary64>) () ())) ())
#s(alt (* im (+ 1 (* -1/6 (pow im 2)))) (taylor 0 im) (#s(alt (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (patch (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) #<representation binary64>) () ())) ())
#s(alt (* im (+ 1 (* -1/6 (pow im 2)))) (taylor 0 im) (#s(alt (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (patch (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow im 3)) (taylor inf im) (#s(alt (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (patch (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) #<representation binary64>) () ())) ())
#s(alt (* (pow im 3) (- (/ 1 (pow im 2)) 1/6)) (taylor inf im) (#s(alt (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (patch (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) #<representation binary64>) () ())) ())
#s(alt (* (pow im 3) (- (/ 1 (pow im 2)) 1/6)) (taylor inf im) (#s(alt (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (patch (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) #<representation binary64>) () ())) ())
#s(alt (* (pow im 3) (- (/ 1 (pow im 2)) 1/6)) (taylor inf im) (#s(alt (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (patch (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow im 3)) (taylor -inf im) (#s(alt (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (patch (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow im 3) (- 1/6 (/ 1 (pow im 2))))) (taylor -inf im) (#s(alt (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (patch (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow im 3) (- 1/6 (/ 1 (pow im 2))))) (taylor -inf im) (#s(alt (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (patch (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow im 3) (- 1/6 (/ 1 (pow im 2))))) (taylor -inf im) (#s(alt (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (patch (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow im 2)) (taylor 0 im) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow im 2)) (taylor 0 im) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow im 2)) (taylor 0 im) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow im 2)) (taylor 0 im) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow im 2)) (taylor inf im) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow im 2)) (taylor inf im) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow im 2)) (taylor inf im) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow im 2)) (taylor inf im) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow im 2)) (taylor -inf im) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow im 2)) (taylor -inf im) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow im 2)) (taylor -inf im) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow im 2)) (taylor -inf im) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #<representation binary64>) () ())) ())
Calls

66 calls:

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

simplify3.9s (22.3%)

Memory
5.9MiB live, 382.1MiB allocated
Algorithm
egg-herbie
Rules
17 002×lower-fma.f64
17 002×lower-fma.f32
4 954×lower-*.f64
4 954×lower-*.f32
2 780×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01061649
13281560
28581528
327281498
456851498
573171498
081351378
Stop Event
iter limit
node limit
Counts
264 → 258
Calls
Call 1
Inputs
(sin im)
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* im (exp re))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
im
(+ im (* im re))
(+ im (* re (+ im (* 1/2 (* im re)))))
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(sin im)
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* im (exp re))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
im
(* im (+ 1 (* -1/6 (pow im 2))))
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(sin im)
(sin im)
(sin im)
(sin im)
(sin im)
(sin im)
(sin im)
(sin im)
(sin im)
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* im (exp re))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin 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)
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)))
(sin im)
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* im (exp re))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin 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)
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* 1/2 re))))
(* 1/2 (pow re 2))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(* 1/2 (pow re 2))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
1
(+ 1 (* 1/2 re))
(+ 1 (* 1/2 re))
(+ 1 (* 1/2 re))
(* 1/2 re)
(* re (+ 1/2 (/ 1 re)))
(* re (+ 1/2 (/ 1 re)))
(* re (+ 1/2 (/ 1 re)))
(* 1/2 re)
(* re (+ 1/2 (/ 1 re)))
(* re (+ 1/2 (/ 1 re)))
(* re (+ 1/2 (/ 1 re)))
(sin im)
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* im (exp re))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
im
(* im (+ 1 (* -1/6 (pow im 2))))
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(sin im)
(sin im)
(sin im)
(sin im)
(sin im)
(sin im)
(sin im)
(sin im)
im
(* im (+ 1 (* -1/6 (pow im 2))))
(* im (+ 1 (* -1/6 (pow im 2))))
(* im (+ 1 (* -1/6 (pow im 2))))
(* -1/6 (pow im 3))
(* (pow im 3) (- (/ 1 (pow im 2)) 1/6))
(* (pow im 3) (- (/ 1 (pow im 2)) 1/6))
(* (pow im 3) (- (/ 1 (pow im 2)) 1/6))
(* -1/6 (pow im 3))
(* -1 (* (pow im 3) (- 1/6 (/ 1 (pow im 2)))))
(* -1 (* (pow im 3) (- 1/6 (/ 1 (pow im 2)))))
(* -1 (* (pow im 3) (- 1/6 (/ 1 (pow im 2)))))
(* -1/6 (pow im 2))
(* -1/6 (pow im 2))
(* -1/6 (pow im 2))
(* -1/6 (pow im 2))
(* -1/6 (pow im 2))
(* -1/6 (pow im 2))
(* -1/6 (pow im 2))
(* -1/6 (pow im 2))
(* -1/6 (pow im 2))
(* -1/6 (pow im 2))
(* -1/6 (pow im 2))
(* -1/6 (pow im 2))
Outputs
(sin im)
(sin.f64 im)
(+ (sin im) (* re (sin im)))
(*.f64 (sin.f64 im) (+.f64 re #s(literal 1 binary64)))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(*.f64 (sin.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(*.f64 (sin.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)))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(*.f64 (*.f64 im (exp.f64 re)) (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64)))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(*.f64 (exp.f64 re) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(*.f64 im (*.f64 (exp.f64 re) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
im
(+ im (* im re))
(fma.f64 im re im)
(+ im (* re (+ im (* 1/2 (* im re)))))
(fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
(fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 re #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(sin im)
(sin.f64 im)
(+ (sin im) (* re (sin im)))
(*.f64 (sin.f64 im) (+.f64 re #s(literal 1 binary64)))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(*.f64 (sin.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(*.f64 (sin.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)))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(*.f64 (*.f64 im (exp.f64 re)) (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64)))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(*.f64 (exp.f64 re) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(*.f64 im (*.f64 (exp.f64 re) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
im
(* im (+ 1 (* -1/6 (pow im 2))))
(fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))
(*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(sin im)
(sin.f64 im)
(sin im)
(sin.f64 im)
(sin im)
(sin.f64 im)
(sin im)
(sin.f64 im)
(sin im)
(sin.f64 im)
(sin im)
(sin.f64 im)
(sin im)
(sin.f64 im)
(sin im)
(sin.f64 im)
(sin im)
(sin.f64 im)
(+ (sin im) (* re (sin im)))
(*.f64 (sin.f64 im) (+.f64 re #s(literal 1 binary64)))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(*.f64 (sin.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(*.f64 (sin.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)))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(*.f64 (*.f64 im (exp.f64 re)) (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64)))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(*.f64 (exp.f64 re) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(*.f64 im (*.f64 (exp.f64 re) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 re #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 re #s(literal 1 binary64))
(+ 1 re)
(+.f64 re #s(literal 1 binary64))
(+ 1 re)
(+.f64 re #s(literal 1 binary64))
re
(* re (+ 1 (/ 1 re)))
(+.f64 re #s(literal 1 binary64))
(* re (+ 1 (/ 1 re)))
(+.f64 re #s(literal 1 binary64))
(* re (+ 1 (/ 1 re)))
(+.f64 re #s(literal 1 binary64))
re
(* re (+ 1 (/ 1 re)))
(+.f64 re #s(literal 1 binary64))
(* re (+ 1 (/ 1 re)))
(+.f64 re #s(literal 1 binary64))
(* re (+ 1 (/ 1 re)))
(+.f64 re #s(literal 1 binary64))
(sin im)
(sin.f64 im)
(+ (sin im) (* re (sin im)))
(*.f64 (sin.f64 im) (+.f64 re #s(literal 1 binary64)))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(*.f64 (sin.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(*.f64 (sin.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)))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(*.f64 (*.f64 im (exp.f64 re)) (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64)))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(*.f64 (exp.f64 re) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(*.f64 im (*.f64 (exp.f64 re) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 re #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 re #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(* 1/2 (pow re 2))
(*.f64 re (*.f64 re #s(literal 1/2 binary64)))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(* 1/2 (pow re 2))
(*.f64 re (*.f64 re #s(literal 1/2 binary64)))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 re))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* 1/2 re))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* 1/2 re))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(* 1/2 re)
(*.f64 re #s(literal 1/2 binary64))
(* re (+ 1/2 (/ 1 re)))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(* re (+ 1/2 (/ 1 re)))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(* re (+ 1/2 (/ 1 re)))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(* 1/2 re)
(*.f64 re #s(literal 1/2 binary64))
(* re (+ 1/2 (/ 1 re)))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(* re (+ 1/2 (/ 1 re)))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(* re (+ 1/2 (/ 1 re)))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(sin im)
(sin.f64 im)
(+ (sin im) (* re (sin im)))
(*.f64 (sin.f64 im) (+.f64 re #s(literal 1 binary64)))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(*.f64 (sin.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(*.f64 (sin.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)))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(*.f64 (*.f64 im (exp.f64 re)) (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64)))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(*.f64 (exp.f64 re) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(*.f64 im (*.f64 (exp.f64 re) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
im
(* im (+ 1 (* -1/6 (pow im 2))))
(fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))
(*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(sin im)
(sin.f64 im)
(sin im)
(sin.f64 im)
(sin im)
(sin.f64 im)
(sin im)
(sin.f64 im)
(sin im)
(sin.f64 im)
(sin im)
(sin.f64 im)
(sin im)
(sin.f64 im)
(sin im)
(sin.f64 im)
im
(* im (+ 1 (* -1/6 (pow im 2))))
(fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)
(* im (+ 1 (* -1/6 (pow im 2))))
(fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)
(* im (+ 1 (* -1/6 (pow im 2))))
(fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)
(* -1/6 (pow im 3))
(*.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))))
(* (pow im 3) (- (/ 1 (pow im 2)) 1/6))
(fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)
(* (pow im 3) (- (/ 1 (pow im 2)) 1/6))
(fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)
(* (pow im 3) (- (/ 1 (pow im 2)) 1/6))
(fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)
(* -1/6 (pow im 3))
(*.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))))
(* -1 (* (pow im 3) (- 1/6 (/ 1 (pow im 2)))))
(fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)
(* -1 (* (pow im 3) (- 1/6 (/ 1 (pow im 2)))))
(fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)
(* -1 (* (pow im 3) (- 1/6 (/ 1 (pow im 2)))))
(fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)
(* -1/6 (pow im 2))
(*.f64 im (*.f64 im #s(literal -1/6 binary64)))
(* -1/6 (pow im 2))
(*.f64 im (*.f64 im #s(literal -1/6 binary64)))
(* -1/6 (pow im 2))
(*.f64 im (*.f64 im #s(literal -1/6 binary64)))
(* -1/6 (pow im 2))
(*.f64 im (*.f64 im #s(literal -1/6 binary64)))
(* -1/6 (pow im 2))
(*.f64 im (*.f64 im #s(literal -1/6 binary64)))
(* -1/6 (pow im 2))
(*.f64 im (*.f64 im #s(literal -1/6 binary64)))
(* -1/6 (pow im 2))
(*.f64 im (*.f64 im #s(literal -1/6 binary64)))
(* -1/6 (pow im 2))
(*.f64 im (*.f64 im #s(literal -1/6 binary64)))
(* -1/6 (pow im 2))
(*.f64 im (*.f64 im #s(literal -1/6 binary64)))
(* -1/6 (pow im 2))
(*.f64 im (*.f64 im #s(literal -1/6 binary64)))
(* -1/6 (pow im 2))
(*.f64 im (*.f64 im #s(literal -1/6 binary64)))
(* -1/6 (pow im 2))
(*.f64 im (*.f64 im #s(literal -1/6 binary64)))

rewrite3.8s (21.6%)

Memory
-7.7MiB live, 473.3MiB allocated
Rules
7 944×lower-fma.f32
7 938×lower-fma.f64
4 568×lower-*.f32
4 556×lower-*.f64
2 692×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025116
042116
1112113
2637113
36265113
08091110
Stop Event
iter limit
node limit
iter limit
Counts
16 → 367
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))
(*.f64 im (exp.f64 re))
(exp.f64 re)
#s(approx (* (exp re) (sin im)) (sin.f64 im))
(sin.f64 im)
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (exp re) (+.f64 re #s(literal 1 binary64)))
(+.f64 re #s(literal 1 binary64))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im))
#s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))
(fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)
(*.f64 #s(literal -1/6 binary64) (*.f64 im im))
Outputs
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))
(*.f64 im (exp.f64 re))
(*.f64 (exp.f64 re) im)
(exp.f64 re)
(exp.f64 (*.f64 (log.f64 (exp.f64 re)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1 binary64))) re))
(pow.f64 (exp.f64 re) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) re)
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 1 binary64)) re)
#s(approx (* (exp re) (sin im)) (sin.f64 im))
(sin.f64 im)
(*.f64 (sin.f64 im) #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (exp re) (+.f64 re #s(literal 1 binary64)))
(+.f64 re #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) re)
(+.f64 (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) re)) (/.f64 (*.f64 re re) (-.f64 #s(literal 1 binary64) re)))
(fma.f64 re #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 re (/.f64 re (+.f64 re #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64))
(fma.f64 (*.f64 re re) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))))
(fma.f64 (/.f64 (*.f64 re re) (fma.f64 re re #s(literal -1 binary64))) (+.f64 re #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))))
(fma.f64 (/.f64 (*.f64 re re) (fma.f64 re (*.f64 re re) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 re re re)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))))
(neg.f64 (/.f64 (fma.f64 re (*.f64 re re) #s(literal 1 binary64)) (neg.f64 (fma.f64 re re (-.f64 #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))) (fma.f64 re re (-.f64 #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)) (fma.f64 re re (-.f64 #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 (fma.f64 re re (-.f64 #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 (fma.f64 re re (-.f64 #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 (fma.f64 re re (-.f64 #s(literal 1 binary64) re)) (fma.f64 re (*.f64 re re) #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re)) #s(literal -1 binary64)) (*.f64 (+.f64 re #s(literal -1 binary64)) (fma.f64 re (*.f64 re (*.f64 re re)) (fma.f64 re re #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (-.f64 #s(literal 1 binary64) re))
(/.f64 (fma.f64 re (*.f64 re (*.f64 re re)) #s(literal -1 binary64)) (*.f64 (+.f64 re #s(literal -1 binary64)) (fma.f64 re re #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64))) (*.f64 (+.f64 re #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 re #s(literal -1 binary64)) (+.f64 re #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 re (*.f64 re re)) (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re)) #s(literal 1 binary64)) (*.f64 re (*.f64 re re))) (fma.f64 re re (-.f64 #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)) (fma.f64 re re (-.f64 #s(literal 1 binary64) re))))
(/.f64 (*.f64 (fma.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 re (*.f64 re (*.f64 re re)) (fma.f64 re re #s(literal 1 binary64))) (+.f64 re #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 re (*.f64 re (*.f64 re re)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 re re #s(literal 1 binary64)) (+.f64 re #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re))) (neg.f64 (-.f64 #s(literal 1 binary64) re)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 re (*.f64 re re) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 re re (-.f64 #s(literal 1 binary64) re)))))
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(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/36 binary64))) (/.f64 (*.f64 im im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 im)))) (*.f64 (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/36 binary64))) (/.f64 (*.f64 im im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 im))))) (*.f64 (/.f64 (*.f64 im im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 im))) (/.f64 (*.f64 im im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 im))))) (fma.f64 (*.f64 im im) (/.f64 (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/36 binary64))) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 im))) (/.f64 (*.f64 im im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 im)))))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (*.f64 im (*.f64 im im))) #s(literal 1 binary64)) (fma.f64 (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 im)) (*.f64 im im)))
(/.f64 (*.f64 (*.f64 im (fma.f64 im (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/36 binary64))) (neg.f64 im))) #s(literal 1 binary64)) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 im)))
(/.f64 (*.f64 (fma.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im im) (*.f64 im (*.f64 im (*.f64 im im)))) (pow.f64 (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 im)) (*.f64 im im)))) (fma.f64 (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/216 binary64)))) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/216 binary64)))) (*.f64 (*.f64 im (*.f64 im im)) (-.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/216 binary64))))))))
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (*.f64 im (*.f64 im im))) (-.f64 (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/216 binary64)))) (*.f64 im (*.f64 im im)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 im)) (*.f64 im im)))) (-.f64 (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/216 binary64)))) (*.f64 im (*.f64 im im))))
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (*.f64 im (*.f64 im im))) (-.f64 (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/216 binary64)))) (*.f64 im (*.f64 im im)))) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 im)))) (fma.f64 (*.f64 im im) (*.f64 (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/36 binary64))) (*.f64 (*.f64 im (*.f64 im (*.f64 im im))) (*.f64 (*.f64 im im) #s(literal 1/36 binary64)))) (*.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im im) #s(literal 1/36 binary64)) im)))))
(/.f64 (*.f64 (*.f64 (*.f64 im (fma.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im im) #s(literal 1/36 binary64)) im)) (*.f64 im (fma.f64 im (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/36 binary64))) (neg.f64 im)))) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 im)))) (*.f64 im (fma.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im im) #s(literal 1/36 binary64)) im)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 im (*.f64 (*.f64 im (*.f64 im im)) #s(literal 1/6 binary64))) (*.f64 im (-.f64 im (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im im) #s(literal 1/36 binary64)))))) #s(literal -1 binary64))
(*.f64 im (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))
(*.f64 (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (*.f64 (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 im)) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 im)))))
(*.f64 (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (/.f64 (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 im)) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 im))))
(*.f64 (*.f64 (fma.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (*.f64 im (*.f64 im im))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 im)) (*.f64 im im))))
(*.f64 (fma.f64 (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 im)) (*.f64 im im)) (*.f64 (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 im)) (*.f64 im im)))))
(*.f64 (fma.f64 (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 im)) (*.f64 im im)) (/.f64 (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (fma.f64 (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 im)) (*.f64 im im))))
(*.f64 (*.f64 im (fma.f64 im (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/36 binary64))) (neg.f64 im))) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 im))))
(*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (*.f64 im (*.f64 im im)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 im)) (*.f64 im im)))))
(*.f64 (neg.f64 (*.f64 im (fma.f64 im (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/36 binary64))) (neg.f64 im)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im (*.f64 im im)) #s(literal 1/6 binary64) (neg.f64 (neg.f64 im)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 im)) (*.f64 im im))) (*.f64 (fma.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (*.f64 im (*.f64 im im))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 im))) (*.f64 im (fma.f64 im (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/36 binary64))) (neg.f64 im))))
(*.f64 (*.f64 im (-.f64 im (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im im) #s(literal 1/36 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 im (*.f64 (*.f64 im (*.f64 im im)) #s(literal 1/6 binary64)))))
(*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)
(*.f64 (/.f64 (*.f64 im (fma.f64 im (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/36 binary64))) (neg.f64 im))) (*.f64 im (fma.f64 im (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/36 binary64))) (neg.f64 im)))) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (*.f64 im (*.f64 im im))) (fma.f64 (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/216 binary64)))) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/216 binary64)))) (*.f64 (*.f64 im (+.f64 im (*.f64 (*.f64 im (*.f64 im im)) #s(literal 1/6 binary64)))) (*.f64 (*.f64 im (+.f64 im (*.f64 (*.f64 im (*.f64 im im)) #s(literal 1/6 binary64)))) (*.f64 im (+.f64 im (*.f64 (*.f64 im (*.f64 im im)) #s(literal 1/6 binary64)))))))) (fma.f64 im (*.f64 (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im im) #s(literal 1/36 binary64))) (*.f64 (*.f64 im (*.f64 im (*.f64 im im))) (*.f64 (*.f64 im im) #s(literal 1/36 binary64)))) (*.f64 (*.f64 im (+.f64 im (*.f64 (*.f64 im (*.f64 im im)) #s(literal 1/6 binary64)))) (-.f64 (*.f64 im (+.f64 im (*.f64 (*.f64 im (*.f64 im im)) #s(literal 1/6 binary64)))) (*.f64 (*.f64 im (*.f64 im (*.f64 im im))) (*.f64 (*.f64 im im) #s(literal 1/36 binary64)))))))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (*.f64 im (*.f64 im im))) (*.f64 (fma.f64 (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 im)) (*.f64 im im)) (*.f64 im (-.f64 (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im im) #s(literal 1/36 binary64))) (+.f64 im (*.f64 (*.f64 im (*.f64 im im)) #s(literal 1/6 binary64))))))) (*.f64 im (-.f64 (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im im) #s(literal 1/36 binary64))) (+.f64 im (*.f64 (*.f64 im (*.f64 im im)) #s(literal 1/6 binary64))))))
(*.f64 (/.f64 (*.f64 im (fma.f64 im (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/36 binary64))) (neg.f64 im))) (-.f64 (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/216 binary64)))) (*.f64 im (*.f64 im im)))) (fma.f64 im (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (*.f64 (*.f64 im (*.f64 im (*.f64 im im))) (*.f64 (*.f64 im im) #s(literal 1/36 binary64)))))
(*.f64 im (*.f64 im #s(literal -1/6 binary64)))
(*.f64 #s(literal -1/6 binary64) (*.f64 im im))
(*.f64 (*.f64 im im) #s(literal -1/6 binary64))
(*.f64 (*.f64 im #s(literal -1/6 binary64)) im)

eval109.0ms (0.6%)

Memory
6.2MiB live, 251.7MiB allocated
Compiler

Compiled 14 684 to 1 355 computations (90.8% saved)

prune88.0ms (0.5%)

Memory
-16.6MiB live, 216.9MiB allocated
Pruning

23 alts after pruning (18 fresh and 5 done)

PrunedKeptTotal
New65017667
Fresh011
Picked145
Done011
Total65123674
Accuracy
100.0%
Counts
674 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (exp.f64 re) (sin.f64 im))
26.5%
(*.f64 (exp.f64 re) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64)))))))
63.4%
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im))
38.5%
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
61.8%
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im))
37.3%
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
37.7%
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
49.6%
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im))
30.6%
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
30.5%
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
29.3%
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
71.4%
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))
39.0%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
37.5%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
29.0%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))))
26.2%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
49.0%
#s(approx (* (exp re) (sin im)) (sin.f64 im))
33.9%
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)))
37.9%
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
29.0%
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
29.3%
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
30.3%
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
30.0%
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
Compiler

Compiled 625 to 344 computations (45% saved)

simplify62.0ms (0.4%)

Memory
38.4MiB live, 76.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))
cost-diff0
(*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
cost-diff0
#s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
cost-diff0
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
cost-diff0
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff0
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
cost-diff0
(*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
cost-diff0
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
cost-diff0
(*.f64 im re)
cost-diff0
(fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)
cost-diff0
#s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im))
cost-diff0
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)))
cost-diff0
#s(approx (exp re) #s(literal 1 binary64))
cost-diff0
(*.f64 im #s(approx (exp re) #s(literal 1 binary64)))
cost-diff0
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
cost-diff0
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
cost-diff0
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff0
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im))
Rules
2 360×lower-fma.f32
2 344×lower-fma.f64
948×lower-*.f32
934×lower-*.f64
540×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036320
061320
1129320
2309317
3839317
41415317
51600317
61608317
71608317
81627317
91627317
01627314
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im))
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
re
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(sin.f64 im)
im
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
(*.f64 im #s(approx (exp re) #s(literal 1 binary64)))
im
#s(approx (exp re) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)))
#s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im))
(fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)
(*.f64 im re)
im
re
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
im
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
re
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
im
(fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(*.f64 im im)
(fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(*.f64 im #s(literal -1/5040 binary64))
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
#s(literal 1 binary64)
Outputs
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im))
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
re
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(sin.f64 im)
im
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
(*.f64 im #s(approx (exp re) #s(literal 1 binary64)))
im
#s(approx (exp re) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im)))
#s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im))
#s(approx (* im (exp re)) (fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im))
(fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)
(fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im)
(*.f64 im re)
(*.f64 re im)
im
re
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) im))
(*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) im)
im
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
re
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) im)))
#s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
#s(approx (sin im) (fma.f64 im (*.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) im))
(*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 im (*.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) im)
im
(fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(*.f64 im im)
(fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(*.f64 im #s(literal -1/5040 binary64))
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
#s(literal 1 binary64)

localize173.0ms (1%)

Memory
9.5MiB live, 267.9MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.05078125
(fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
accuracy0.05078125
(fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
accuracy29.30960232482026
#s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
accuracy32.643500548563864
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
accuracy0.0625
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy0.21484375
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
accuracy18.29496350702152
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
accuracy23.341512658362326
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
accuracy0
(*.f64 im re)
accuracy0.0703125
(fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)
accuracy18.29496350702152
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)))
accuracy25.09626981865578
#s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im))
accuracy0.015625
(*.f64 im #s(approx (exp re) #s(literal 1 binary64)))
accuracy18.29496350702152
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
accuracy32.70421892767871
#s(approx (exp re) #s(literal 1 binary64))
accuracy0.0546875
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
accuracy0.0625
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy0.21484375
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
accuracy23.341512658362326
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
Samples
127.0ms256×0valid
Compiler

Compiled 209 to 34 computations (83.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 66.0ms
ival-mult: 24.0ms (36.2% of total)
ival-sin: 14.0ms (21.1% of total)
ival-add: 12.0ms (18.1% of total)
const: 12.0ms (18.1% of total)
ival-exp: 3.0ms (4.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series39.0ms (0.2%)

Memory
-28.4MiB live, 42.8MiB allocated
Counts
20 → 360
Calls
Call 1
Inputs
#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())
#s(alt #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 im #s(approx (exp re) #s(literal 1 binary64))) (patch (*.f64 im #s(approx (exp re) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (exp re) #s(literal 1 binary64)) (patch #s(approx (exp re) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im))) (patch #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im))) #<representation binary64>) () ())
#s(alt #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)) (patch #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im) (patch (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im) #<representation binary64>) () ())
#s(alt (*.f64 im re) (patch (*.f64 im re) #<representation binary64>) () ())
#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (patch (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))) (patch #s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (patch #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (patch (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (patch (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (sin im) (taylor 0 re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (sin im))) (taylor 0 re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) (taylor 0 re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im))))))) (taylor 0 re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* im (exp re)) (taylor 0 im) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re))))) (taylor 0 im) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re))))))) (taylor 0 im) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re)))))))) (taylor 0 im) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf im) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf im) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf im) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf im) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 re) (#s(alt #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 re) (taylor 0 re) (#s(alt #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* re (+ 1 (* 1/2 re)))) (taylor 0 re) (#s(alt #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) (taylor 0 re) (#s(alt #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp re) (taylor inf re) (#s(alt #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp re) (taylor inf re) (#s(alt #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp re) (taylor inf re) (#s(alt #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp re) (taylor inf re) (#s(alt #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp re) (taylor -inf re) (#s(alt #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp re) (taylor -inf re) (#s(alt #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6) (taylor 0 im) (#s(alt (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/5040 (pow im 4)) (taylor inf im) (#s(alt (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) 1/5040)) (taylor inf im) (#s(alt (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4))))) (taylor inf im) (#s(alt (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4))))) (taylor inf im) (#s(alt (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/5040 (pow im 4)) (taylor -inf im) (#s(alt (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) 1/5040)) (taylor -inf im) (#s(alt (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4))))) (taylor -inf im) (#s(alt (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4))))) (taylor -inf im) (#s(alt (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
Calls

90 calls:

TimeVariablePointExpression
1.0ms
re
@0
(+ (* re (+ (* re 1/6) 1/2)) 1)
1.0ms
im
@0
(+ (* (* im re) (+ (* re 1/2) 1)) im)
0.0ms
im
@inf
(* im (+ (* (* im im) (+ (* (* im im) (+ (* im (* im -1/5040)) 1/120)) -1/6)) 1))
0.0ms
im
@inf
(+ (* (* im re) (+ (* re 1/2) 1)) im)
0.0ms
re
@-inf
(+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1)

simplify241.0ms (1.4%)

Memory
5.4MiB live, 394.8MiB allocated
Algorithm
egg-herbie
Rules
13 800×lower-fma.f64
13 800×lower-fma.f32
5 080×lower-*.f64
5 080×lower-*.f32
3 350×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01772557
15412502
215932430
348132384
088292187
Stop Event
iter limit
node limit
Counts
360 → 354
Calls
Call 1
Inputs
(sin im)
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* im (exp re))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin 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)
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))
1
(+ 1 (* 1/2 re))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
(* 1/6 (pow re 2))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* 1/6 (pow re 2))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(sin im)
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* im (exp re))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
im
(+ im (* im re))
(+ im (* re (+ im (* 1/2 (* im re)))))
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(sin im)
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* im (exp re))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
im
(+ im (* im re))
(+ im (* re (+ im (* 1/2 (* im re)))))
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (+ 1 (* re (+ 1 (* 1/2 re)))))
(* im (+ 1 (* re (+ 1 (* 1/2 re)))))
(* im (+ 1 (* re (+ 1 (* 1/2 re)))))
(* im (+ 1 (* re (+ 1 (* 1/2 re)))))
(* im (+ 1 (* re (+ 1 (* 1/2 re)))))
(* im (+ 1 (* re (+ 1 (* 1/2 re)))))
(* im (+ 1 (* re (+ 1 (* 1/2 re)))))
(* im (+ 1 (* re (+ 1 (* 1/2 re)))))
(* -1 (* im (- (* -1 (* re (+ 1 (* 1/2 re)))) 1)))
(* -1 (* im (- (* -1 (* re (+ 1 (* 1/2 re)))) 1)))
(* -1 (* im (- (* -1 (* re (+ 1 (* 1/2 re)))) 1)))
(* -1 (* im (- (* -1 (* re (+ 1 (* 1/2 re)))) 1)))
im
(+ im (* im re))
(+ im (* re (+ im (* 1/2 (* im re)))))
(+ im (* re (+ im (* 1/2 (* im re)))))
(* 1/2 (* im (pow re 2)))
(* (pow re 2) (+ (* 1/2 im) (/ im re)))
(* (pow re 2) (+ (* 1/2 im) (+ (/ im re) (/ im (pow re 2)))))
(* (pow re 2) (+ (* 1/2 im) (+ (/ im re) (/ im (pow re 2)))))
(* 1/2 (* im (pow re 2)))
(* (pow re 2) (+ (* 1/2 im) (/ im re)))
(* (pow re 2) (+ (* -1 (/ (+ (* -1 im) (* -1 (/ im re))) re)) (* 1/2 im)))
(* (pow re 2) (+ (* -1 (/ (+ (* -1 im) (* -1 (/ im re))) re)) (* 1/2 im)))
(* im re)
(* im re)
(* im re)
(* im re)
(* im re)
(* im re)
(* im re)
(* im re)
(* im re)
(* im re)
(* im re)
(* im re)
(* im re)
(* im re)
(* im re)
(* im re)
(* im re)
(* im re)
(* im re)
(* im re)
(* im re)
(* im re)
(* im re)
(* im re)
(sin im)
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* im (exp re))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
im
(+ im (* im re))
(+ im (* re (+ im (* 1/2 (* im re)))))
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(sin im)
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* im (exp re))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
im
(* im (+ 1 (* -1/6 (pow im 2))))
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(sin im)
(sin im)
(sin im)
(sin im)
(sin im)
(sin im)
(sin im)
(sin im)
im
(* im (+ 1 (* -1/6 (pow im 2))))
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(* -1/5040 (pow im 7))
(* (pow im 7) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(* (pow im 7) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4)))))
(* (pow im 7) (- (+ (* 1/120 (/ 1 (pow im 2))) (/ 1 (pow im 6))) (+ 1/5040 (/ 1/6 (pow im 4)))))
(* -1/5040 (pow im 7))
(* -1 (* (pow im 7) (- 1/5040 (* 1/120 (/ 1 (pow im 2))))))
(* -1 (* (pow im 7) (- (+ 1/5040 (/ 1/6 (pow im 4))) (* 1/120 (/ 1 (pow im 2))))))
(* -1 (* (pow im 7) (- (+ 1/5040 (/ 1/6 (pow im 4))) (+ (* 1/120 (/ 1 (pow im 2))) (/ 1 (pow im 6))))))
1
(+ 1 (* -1/6 (pow im 2)))
(+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6)))
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)))
(* -1/5040 (pow im 6))
(* (pow im 6) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(* (pow im 6) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4)))))
(* (pow im 6) (- (+ (* 1/120 (/ 1 (pow im 2))) (/ 1 (pow im 6))) (+ 1/5040 (/ 1/6 (pow im 4)))))
(* -1/5040 (pow im 6))
(* (pow im 6) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(* (pow im 6) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4)))))
(* (pow im 6) (- (+ (* 1/120 (/ 1 (pow im 2))) (/ 1 (pow im 6))) (+ 1/5040 (/ 1/6 (pow im 4)))))
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))))
1/120
(+ 1/120 (* -1/5040 (pow im 2)))
(+ 1/120 (* -1/5040 (pow im 2)))
(+ 1/120 (* -1/5040 (pow im 2)))
(* -1/5040 (pow im 2))
(* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(* -1/5040 (pow im 2))
(* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
-1/6
(- (* 1/120 (pow im 2)) 1/6)
(- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)
(- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)
(* -1/5040 (pow im 4))
(* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4)))))
(* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4)))))
(* -1/5040 (pow im 4))
(* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4)))))
(* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4)))))
Outputs
(sin im)
(sin.f64 im)
(+ (sin im) (* re (sin im)))
(*.f64 (sin.f64 im) (+.f64 re #s(literal 1 binary64)))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(*.f64 (sin.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(*.f64 (sin.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)))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(*.f64 (exp.f64 re) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
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(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(*.f64 im (*.f64 (exp.f64 re) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
im
(+ im (* im re))
(fma.f64 im re im)
(+ im (* re (+ im (* 1/2 (* im re)))))
(fma.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) im)
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
(fma.f64 re (fma.f64 im (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) im)
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(sin im)
(sin.f64 im)
(+ (sin im) (* re (sin im)))
(*.f64 (sin.f64 im) (+.f64 re #s(literal 1 binary64)))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(*.f64 (sin.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(*.f64 (sin.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)))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(*.f64 (exp.f64 re) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(*.f64 (exp.f64 re) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(*.f64 im (*.f64 (exp.f64 re) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
im
(* im (+ 1 (* -1/6 (pow im 2))))
(fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))
(fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(fma.f64 (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)
(sin im)
(sin.f64 im)
(sin im)
(sin.f64 im)
(sin im)
(sin.f64 im)
(sin im)
(sin.f64 im)
(sin im)
(sin.f64 im)
(sin im)
(sin.f64 im)
(sin im)
(sin.f64 im)
(sin im)
(sin.f64 im)
im
(* im (+ 1 (* -1/6 (pow im 2))))
(fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))
(fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(fma.f64 (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)
(* -1/5040 (pow im 7))
(*.f64 #s(literal -1/5040 binary64) (pow.f64 im #s(literal 7 binary64)))
(* (pow im 7) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(*.f64 (pow.f64 im #s(literal 7 binary64)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 im im))))
(* (pow im 7) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4)))))
(*.f64 (pow.f64 im #s(literal 7 binary64)) (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 im im)) (/.f64 #s(literal -1/6 binary64) (*.f64 im (*.f64 im (*.f64 im im)))))))
(* (pow im 7) (- (+ (* 1/120 (/ 1 (pow im 2))) (/ 1 (pow im 6))) (+ 1/5040 (/ 1/6 (pow im 4)))))
(*.f64 (pow.f64 im #s(literal 7 binary64)) (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 im im)) (/.f64 #s(literal -1/6 binary64) (*.f64 im (*.f64 im (*.f64 im im))))))))
(* -1/5040 (pow im 7))
(*.f64 #s(literal -1/5040 binary64) (pow.f64 im #s(literal 7 binary64)))
(* -1 (* (pow im 7) (- 1/5040 (* 1/120 (/ 1 (pow im 2))))))
(*.f64 (pow.f64 im #s(literal 7 binary64)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 im im))))
(* -1 (* (pow im 7) (- (+ 1/5040 (/ 1/6 (pow im 4))) (* 1/120 (/ 1 (pow im 2))))))
(*.f64 (pow.f64 im #s(literal 7 binary64)) (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 im im)) (/.f64 #s(literal -1/6 binary64) (*.f64 im (*.f64 im (*.f64 im im)))))))
(* -1 (* (pow im 7) (- (+ 1/5040 (/ 1/6 (pow im 4))) (+ (* 1/120 (/ 1 (pow im 2))) (/ 1 (pow im 6))))))
(*.f64 (pow.f64 im #s(literal 7 binary64)) (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 im im)) (/.f64 #s(literal -1/6 binary64) (*.f64 im (*.f64 im (*.f64 im im))))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow im 2)))
(fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6)))
(fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)))
(fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(* -1/5040 (pow im 6))
(*.f64 #s(literal -1/5040 binary64) (pow.f64 im #s(literal 6 binary64)))
(* (pow im 6) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(*.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 im im))) (pow.f64 im #s(literal 6 binary64)))
(* (pow im 6) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4)))))
(*.f64 (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 im im)) (/.f64 #s(literal -1/6 binary64) (*.f64 im (*.f64 im (*.f64 im im)))))) (pow.f64 im #s(literal 6 binary64)))
(* (pow im 6) (- (+ (* 1/120 (/ 1 (pow im 2))) (/ 1 (pow im 6))) (+ 1/5040 (/ 1/6 (pow im 4)))))
(fma.f64 (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 im im)) (/.f64 #s(literal -1/6 binary64) (*.f64 im (*.f64 im (*.f64 im im)))))) (pow.f64 im #s(literal 6 binary64)) #s(literal 1 binary64))
(* -1/5040 (pow im 6))
(*.f64 #s(literal -1/5040 binary64) (pow.f64 im #s(literal 6 binary64)))
(* (pow im 6) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(*.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 im im))) (pow.f64 im #s(literal 6 binary64)))
(* (pow im 6) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4)))))
(*.f64 (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 im im)) (/.f64 #s(literal -1/6 binary64) (*.f64 im (*.f64 im (*.f64 im im)))))) (pow.f64 im #s(literal 6 binary64)))
(* (pow im 6) (- (+ (* 1/120 (/ 1 (pow im 2))) (/ 1 (pow im 6))) (+ 1/5040 (/ 1/6 (pow im 4)))))
(fma.f64 (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 im im)) (/.f64 #s(literal -1/6 binary64) (*.f64 im (*.f64 im (*.f64 im im)))))) (pow.f64 im #s(literal 6 binary64)) #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 re))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 re))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 re))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* 1/6 re)
(*.f64 re #s(literal 1/6 binary64))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* 1/6 re)
(*.f64 re #s(literal 1/6 binary64))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
1/120
#s(literal 1/120 binary64)
(+ 1/120 (* -1/5040 (pow im 2)))
(fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(+ 1/120 (* -1/5040 (pow im 2)))
(fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(+ 1/120 (* -1/5040 (pow im 2)))
(fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(* -1/5040 (pow im 2))
(*.f64 (*.f64 im im) #s(literal -1/5040 binary64))
(* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(* -1/5040 (pow im 2))
(*.f64 (*.f64 im im) #s(literal -1/5040 binary64))
(* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
-1/6
#s(literal -1/6 binary64)
(- (* 1/120 (pow im 2)) 1/6)
(fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)
(fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))
(- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)
(fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))
(* -1/5040 (pow im 4))
(*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal -1/5040 binary64))))
(* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(*.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 im im))) (*.f64 im (*.f64 im (*.f64 im im))))
(* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4)))))
(*.f64 (*.f64 im (*.f64 im (*.f64 im im))) (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 im im)) (/.f64 #s(literal -1/6 binary64) (*.f64 im (*.f64 im (*.f64 im im)))))))
(* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4)))))
(*.f64 (*.f64 im (*.f64 im (*.f64 im im))) (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 im im)) (/.f64 #s(literal -1/6 binary64) (*.f64 im (*.f64 im (*.f64 im im)))))))
(* -1/5040 (pow im 4))
(*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal -1/5040 binary64))))
(* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(*.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 im im))) (*.f64 im (*.f64 im (*.f64 im im))))
(* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4)))))
(*.f64 (*.f64 im (*.f64 im (*.f64 im im))) (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 im im)) (/.f64 #s(literal -1/6 binary64) (*.f64 im (*.f64 im (*.f64 im im)))))))
(* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4)))))
(*.f64 (*.f64 im (*.f64 im (*.f64 im im))) (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 im im)) (/.f64 #s(literal -1/6 binary64) (*.f64 im (*.f64 im (*.f64 im im)))))))

rewrite383.0ms (2.2%)

Memory
-15.2MiB live, 500.3MiB allocated
Rules
9 730×lower-fma.f32
9 714×lower-fma.f64
4 400×lower-*.f32
4 386×lower-*.f64
3 698×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036253
061253
1227250
21680250
08622247
Stop Event
iter limit
node limit
iter limit
Counts
20 → 414
Calls
Call 1
Inputs
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im))
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
(*.f64 im #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (exp re) #s(literal 1 binary64))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)))
#s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im))
(fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)
(*.f64 im re)
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
Outputs
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im))
(*.f64 (sin.f64 im) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))
(+.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) #s(literal 1 binary64))
(+.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) (+.f64 re #s(literal 1 binary64)))
(+.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re)
(-.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) (/.f64 (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) (-.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (+.f64 re #s(literal 1 binary64)))
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) #s(literal 1 binary64))
(fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re (+.f64 re #s(literal 1 binary64)))
(fma.f64 (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))))
(fma.f64 (fma.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) (*.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) (*.f64 re re)) (*.f64 re (*.f64 re re))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) (*.f64 re re) (-.f64 (*.f64 re re) (*.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) re)))) #s(literal 1 binary64))
(fma.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (+.f64 re #s(literal 1 binary64)))
(fma.f64 (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (neg.f64 re))) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (neg.f64 re))) #s(literal 1 binary64))
(fma.f64 (*.f64 re (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) #s(literal 1 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(fma.f64 (*.f64 re (fma.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) #s(literal 1 binary64)) re) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) #s(literal 1 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)))))
(/.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal 1 binary64)) (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) (-.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))))
(/.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))))
(/.f64 (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 re (fma.f64 (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)))
(/.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) (-.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal -1 binary64))) (neg.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) (-.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) (-.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.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)))) (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))))
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(*.f64 (neg.f64 (fma.f64 (*.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))) #s(literal -1/216 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 (*.f64 im im) (*.f64 (*.f64 im im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal 1/36 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))))))))
(*.f64 (neg.f64 (fma.f64 (*.f64 im im) (*.f64 (*.f64 im im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))))
(*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))))))

eval179.0ms (1%)

Memory
27.4MiB live, 227.9MiB allocated
Compiler

Compiled 27 491 to 1 839 computations (93.3% saved)

prune402.0ms (2.3%)

Memory
-9.9MiB live, 280.7MiB allocated
Pruning

42 alts after pruning (34 fresh and 8 done)

PrunedKeptTotal
New93324957
Fresh31013
Picked235
Done055
Total93842980
Accuracy
100.0%
Counts
980 → 42
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (exp.f64 re) (sin.f64 im))
26.5%
(*.f64 (exp.f64 re) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64)))))))
63.4%
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im))
38.5%
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
61.8%
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im))
37.3%
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
37.7%
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
63.4%
(*.f64 #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re)) (sin.f64 im))
49.6%
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im))
30.6%
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
30.5%
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
71.4%
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))
32.4%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
30.5%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (*.f64 re re) (*.f64 #s(literal -1/4 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) re))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
39.0%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #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)))))
39.0%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #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)))))
39.0%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
39.0%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #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)) #s(literal 1 binary64)))))
30.5%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
30.5%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (*.f64 re re)) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) (-.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)))))
30.5%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))) (-.f64 #s(literal 1 binary64) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))))
31.5%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 re (fma.f64 (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))))))
29.0%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))))
16.5%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)))))
16.5%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
16.3%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)))))))
26.2%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
49.0%
#s(approx (* (exp re) (sin im)) (sin.f64 im))
37.5%
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im im)))
33.9%
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)))
37.9%
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
38.3%
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 im (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) im)))
29.0%
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
33.8%
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im)))))
15.2%
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (*.f64 (*.f64 (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 im (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 im))) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 im))))))
15.0%
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))))
15.0%
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))))
30.0%
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)))
29.3%
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
29.3%
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
30.3%
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 1 binary64))))))
30.3%
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) (+ (* im (* im -1/5040)) 1/120)) -1/6) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal -1/5040 binary64))))) #s(literal 1 binary64)))))
Compiler

Compiled 1 531 to 791 computations (48.3% saved)

simplify242.0ms (1.4%)

Memory
14.8MiB live, 205.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
cost-diff128
(-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re)))
cost-diff128
(-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))
cost-diff704
(/.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 #s(literal 1/36 binary64) (*.f64 re re)))))
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im))
cost-diff0
#s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im))))
cost-diff0
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im)))))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im)))
cost-diff0
#s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
cost-diff0
#s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))
cost-diff0
(*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
cost-diff0
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
cost-diff0
(fma.f64 im re im)
cost-diff0
#s(approx (* im (exp re)) (fma.f64 im re im))
cost-diff0
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
cost-diff0
#s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re))
cost-diff0
(*.f64 #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re)) (sin.f64 im))
cost-diff128
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))
cost-diff128
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re)
Rules
7 086×lower-fma.f32
7 074×lower-fma.f64
2 534×lower-*.f32
2 514×lower-*.f64
1 022×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052500
082488
1160483
2303476
3818476
41598476
52437476
64940476
76752476
08119445
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re)) (sin.f64 im))
#s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re)
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))
#s(literal 1 binary64)
(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
re
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
(*.f64 re re)
(sin.f64 im)
im
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
#s(approx (* im (exp re)) (fma.f64 im re im))
(fma.f64 im re im)
im
re
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
(*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
im
#s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))
#s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
re
(*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im)))))
#s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im))
(fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im)
re
(*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))
im
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))))) #s(literal 1 binary64)) #s(literal 1 binary64))))
im
#s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))))) #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 #s(literal 1/36 binary64) (*.f64 re re))))) #s(literal 1 binary64)) #s(literal 1 binary64))
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 #s(literal 1/36 binary64) (*.f64 re re))))) #s(literal 1 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 #s(literal 1/36 binary64) (*.f64 re 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 #s(literal 1/36 binary64) (*.f64 re re))))
(-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))
#s(literal 1/2 binary64)
(*.f64 re #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re)))
#s(literal 1/4 binary64)
(*.f64 #s(literal 1/36 binary64) (*.f64 re re))
#s(literal 1/36 binary64)
(*.f64 re re)
Outputs
(*.f64 #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re)) (sin.f64 im))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im))
#s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re))
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re)
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
re
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
(*.f64 re re)
(sin.f64 im)
im
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re im im)))
#s(approx (* im (exp re)) (fma.f64 im re im))
#s(approx (* im (exp re)) (fma.f64 re im im))
(fma.f64 im re im)
(fma.f64 re im im)
im
re
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))))))
(*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
(*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))))
im
#s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))
#s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))))
#s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
#s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))
(*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))
re
(*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im)))
#s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im))))
#s(approx (* im (exp re)) (fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im)))
(fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im))
(/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im))
(fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im)
(fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im)
re
(*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im)
im
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (/.f64 re (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (/.f64 re (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))
im
#s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))))) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (exp re) (fma.f64 re (fma.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (/.f64 re (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 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 #s(literal 1/36 binary64) (*.f64 re re))))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 re (fma.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (/.f64 re (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
re
(fma.f64 re (/.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 #s(literal 1/36 binary64) (*.f64 re re))))) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (/.f64 re (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re 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)
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))))
(/.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 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))
(fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 re #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re)))
(fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(*.f64 #s(literal 1/36 binary64) (*.f64 re re))
(*.f64 (*.f64 re re) #s(literal 1/36 binary64))
#s(literal 1/36 binary64)
(*.f64 re re)

localize302.0ms (1.7%)

Memory
-17.8MiB live, 310.4MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.37890625
(*.f64 re #s(literal 1/6 binary64))
accuracy14.689746348373202
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))))
accuracy18.047668939429897
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
accuracy23.34151265836227
#s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))))) #s(literal 1 binary64)) #s(literal 1 binary64)))
accuracy0.15625
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im)))
accuracy0.6972292570819627
(/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im))
accuracy18.047668939429897
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im)))))
accuracy25.09626981865578
#s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im))))
accuracy0.21484375
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
accuracy18.047668939429897
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
accuracy23.34151265836227
#s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))
accuracy29.494574316315763
#s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
accuracy0
(fma.f64 im re im)
accuracy18.047668939429897
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
accuracy28.501041185621755
#s(approx (* im (exp re)) (fma.f64 im re im))
accuracy0.015625
(*.f64 #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re)) (sin.f64 im))
accuracy0.09375
(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))
accuracy0.21484375
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
accuracy23.34151265836227
#s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re))
Samples
216.0ms255×0valid
1.0ms5exit
Compiler

Compiled 297 to 42 computations (85.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 189.0ms
ival-sin: 77.0ms (40.7% of total)
ival-add: 65.0ms (34.4% of total)
ival-mult: 27.0ms (14.3% of total)
const: 7.0ms (3.7% of total)
ival-div: 6.0ms (3.2% of total)
ival-exp: 5.0ms (2.6% of total)
ival-sub: 2.0ms (1.1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series34.0ms (0.2%)

Memory
-20.1MiB live, 57.4MiB allocated
Counts
24 → 420
Calls
Call 1
Inputs
#s(alt (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re) (patch (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) (patch (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re)) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re)) (sin.f64 im)) #<representation binary64>) () ())
#s(alt #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re)) (patch #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re)) #<representation binary64>) () ())
#s(alt #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im))) (patch #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im))) #<representation binary64>) () ())
#s(alt #s(approx (* im (exp re)) (fma.f64 im re im)) (patch #s(approx (* im (exp re)) (fma.f64 im re im)) #<representation binary64>) () ())
#s(alt (fma.f64 im re im) (patch (fma.f64 im re im) #<representation binary64>) () ())
#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))) #<representation binary64>) () ())
#s(alt (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))) (patch (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))) #<representation binary64>) () ())
#s(alt #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) (patch #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (patch #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im))) #<representation binary64>) () ())
#s(alt #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im))))) (patch #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im))))) #<representation binary64>) () ())
#s(alt #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im)))) (patch #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im)) #<representation binary64>) () ())
#s(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 #s(literal 1/36 binary64) (*.f64 re re))))) (patch (/.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 #s(literal 1/36 binary64) (*.f64 re re))))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (patch (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (patch (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) #<representation binary64>) () ())
#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))))) #s(literal 1 binary64)) #s(literal 1 binary64))))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))))) #s(literal 1 binary64)) #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) (patch (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) #<representation binary64>) () ())
#s(alt #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))))) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))))) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re)))) (patch (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re)))) #<representation binary64>) () ())
#s(alt (*.f64 re #s(literal 1/6 binary64)) (patch (*.f64 re #s(literal 1/6 binary64)) #<representation binary64>) () ())
Outputs
#s(alt 1 (taylor 0 re) (#s(alt (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re) (patch (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re) #<representation binary64>) () ())) ())
#s(alt (+ 1 re) (taylor 0 re) (#s(alt (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re) (patch (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* re (+ 1 (* 1/2 re)))) (taylor 0 re) (#s(alt (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re) (patch (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) (taylor 0 re) (#s(alt (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re) (patch (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow re 3)) (taylor inf re) (#s(alt (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re) (patch (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re) #<representation binary64>) () ())) ())
#s(alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) (taylor inf re) (#s(alt (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re) (patch (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re) #<representation binary64>) () ())) ())
#s(alt (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) (taylor inf re) (#s(alt (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re) (patch (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re) #<representation binary64>) () ())) ())
#s(alt (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3)))))) (taylor inf re) (#s(alt (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re) (patch (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow re 3)) (taylor -inf re) (#s(alt (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re) (patch (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re) #<representation binary64>) () ())) ())
#s(alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) (taylor -inf re) (#s(alt (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re) (patch (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6))) (taylor -inf re) (#s(alt (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re) (patch (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6))) (taylor -inf re) (#s(alt (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re) (patch (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 re) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) (patch (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (pow re 2))) (taylor 0 re) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) (patch (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow re 2) (+ 1/2 (* 1/6 re)))) (taylor 0 re) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) (patch (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow re 2) (+ 1/2 (* 1/6 re)))) (taylor 0 re) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) (patch (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow re 3)) (taylor inf re) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) (patch (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) #<representation binary64>) () ())) ())
#s(alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) (taylor inf re) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) (patch (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) #<representation binary64>) () ())) ())
#s(alt (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 3))))) (taylor inf re) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) (patch (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) #<representation binary64>) () ())) ())
#s(alt (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 3))))) (taylor inf re) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) (patch (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow re 3)) (taylor -inf re) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) (patch (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) #<representation binary64>) () ())) ())
#s(alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) (taylor -inf re) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) (patch (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 (pow re 2))) re)) 1/6))) (taylor -inf re) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) (patch (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 (pow re 2))) re)) 1/6))) (taylor -inf re) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) (patch (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor 0 re) (#s(alt (*.f64 #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re)) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re)) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (sin im))) (taylor 0 re) (#s(alt (*.f64 #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re)) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re)) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) (taylor 0 re) (#s(alt (*.f64 #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re)) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re)) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im))))))) (taylor 0 re) (#s(alt (*.f64 #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re)) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re)) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf re) (#s(alt (*.f64 #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re)) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re)) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf re) (#s(alt (*.f64 #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re)) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re)) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf re) (#s(alt (*.f64 #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re)) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re)) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf re) (#s(alt (*.f64 #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re)) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re)) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf re) (#s(alt (*.f64 #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re)) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re)) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf re) (#s(alt (*.f64 #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re)) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re)) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf re) (#s(alt (*.f64 #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re)) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re)) (sin.f64 im)) #<representation binary64>) () ())) ())
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#s(alt (* 1/6 re) (taylor 0 re) (#s(alt (*.f64 re #s(literal 1/6 binary64)) (patch (*.f64 re #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 re) (taylor inf re) (#s(alt (*.f64 re #s(literal 1/6 binary64)) (patch (*.f64 re #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 re) (taylor inf re) (#s(alt (*.f64 re #s(literal 1/6 binary64)) (patch (*.f64 re #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 re) (taylor inf re) (#s(alt (*.f64 re #s(literal 1/6 binary64)) (patch (*.f64 re #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 re) (taylor inf re) (#s(alt (*.f64 re #s(literal 1/6 binary64)) (patch (*.f64 re #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 re) (taylor -inf re) (#s(alt (*.f64 re #s(literal 1/6 binary64)) (patch (*.f64 re #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 re) (taylor -inf re) (#s(alt (*.f64 re #s(literal 1/6 binary64)) (patch (*.f64 re #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 re) (taylor -inf re) (#s(alt (*.f64 re #s(literal 1/6 binary64)) (patch (*.f64 re #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 re) (taylor -inf re) (#s(alt (*.f64 re #s(literal 1/6 binary64)) (patch (*.f64 re #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
Calls

105 calls:

TimeVariablePointExpression
6.0ms
re
@-inf
(* (+ (* re 1/6) 1/2) (* re re))
2.0ms
re
@-inf
(/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))
1.0ms
re
@inf
(/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))
0.0ms
im
@0
(/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))
0.0ms
im
@-inf
(/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))

simplify211.0ms (1.2%)

Memory
11.0MiB live, 323.4MiB allocated
Algorithm
egg-herbie
Rules
8 420×lower-fma.f64
8 420×lower-fma.f32
3 960×lower-*.f64
3 960×lower-*.f32
2 330×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02682993
18272929
222322882
353212867
082692610
Stop Event
iter limit
node limit
Counts
420 → 415
Calls
Call 1
Inputs
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))
1
(+ 1 (* 1/2 (pow re 2)))
(+ 1 (* (pow re 2) (+ 1/2 (* 1/6 re))))
(+ 1 (* (pow re 2) (+ 1/2 (* 1/6 re))))
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 3)))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 3)))))
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 (pow re 2))) re)) 1/6)))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 (pow re 2))) re)) 1/6)))
(sin im)
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* im (exp re))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin 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)
(sin im)
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* im (exp re))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
im
(+ im (* im re))
(+ im (* re (+ im (* 1/2 (* im re)))))
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (+ 1 re))
(* im (+ 1 re))
(* im (+ 1 re))
(* im (+ 1 re))
(* im (+ 1 re))
(* im (+ 1 re))
(* im (+ 1 re))
(* im (+ 1 re))
(* -1 (* im (- (* -1 re) 1)))
(* -1 (* im (- (* -1 re) 1)))
(* -1 (* im (- (* -1 re) 1)))
(* -1 (* im (- (* -1 re) 1)))
im
(+ im (* im re))
(+ im (* im re))
(+ im (* im re))
(* im re)
(* re (+ im (/ im re)))
(* re (+ im (/ im re)))
(* re (+ im (/ im re)))
(* im re)
(* -1 (* re (+ (* -1 im) (* -1 (/ im re)))))
(* -1 (* re (+ (* -1 im) (* -1 (/ im re)))))
(* -1 (* re (+ (* -1 im) (* -1 (/ im re)))))
(sin im)
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* im (exp re))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
im
(+ im (* im re))
(+ im (* re (+ im (* 1/2 (* im re)))))
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))
im
(+ im (* im re))
(+ im (* re (+ im (* 1/2 (* im re)))))
(+ im (* re (+ im (* 1/2 (* im re)))))
(* 1/2 (* im (pow re 2)))
(* (pow re 2) (+ (* 1/2 im) (/ im re)))
(* (pow re 2) (+ (* 1/2 im) (+ (/ im re) (/ im (pow re 2)))))
(* (pow re 2) (+ (* 1/2 im) (+ (/ im re) (/ im (pow re 2)))))
(* 1/2 (* im (pow re 2)))
(* (pow re 2) (+ (* 1/2 im) (/ im re)))
(* (pow re 2) (+ (* -1 (/ (+ (* -1 im) (* -1 (/ im re))) re)) (* 1/2 im)))
(* (pow re 2) (+ (* -1 (/ (+ (* -1 im) (* -1 (/ im re))) re)) (* 1/2 im)))
(* im (+ 1 (* re (+ 1 (* 1/2 re)))))
(* im (+ 1 (* re (+ 1 (* 1/2 re)))))
(* im (+ 1 (* re (+ 1 (* 1/2 re)))))
(* im (+ 1 (* re (+ 1 (* 1/2 re)))))
(* im (+ 1 (* re (+ 1 (* 1/2 re)))))
(* im (+ 1 (* re (+ 1 (* 1/2 re)))))
(* im (+ 1 (* re (+ 1 (* 1/2 re)))))
(* im (+ 1 (* re (+ 1 (* 1/2 re)))))
(* -1 (* im (- (* -1 (* re (+ 1 (* 1/2 re)))) 1)))
(* -1 (* im (- (* -1 (* re (+ 1 (* 1/2 re)))) 1)))
(* -1 (* im (- (* -1 (* re (+ 1 (* 1/2 re)))) 1)))
(* -1 (* im (- (* -1 (* re (+ 1 (* 1/2 re)))) 1)))
(sin im)
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* im (exp re))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
im
(+ im (* im re))
(+ im (* re (+ im (* 1/2 (* im re)))))
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(/ 1 im)
(+ (* -1 (/ re im)) (/ 1 im))
(+ (* re (- (* 1/2 (/ re im)) (/ 1 im))) (/ 1 im))
(+ (* re (- (* re (+ (* -1/4 (/ (pow re 2) im)) (* 1/2 (/ 1 im)))) (/ 1 im))) (/ 1 im))
(/ 2 (* im (pow re 2)))
(/ (- (* 2 (/ 1 im)) (* 4 (/ 1 (* im re)))) (pow re 2))
(/ (- (+ (* 2 (/ 1 im)) (/ 4 (* im (pow re 2)))) (/ 4 (* im re))) (pow re 2))
(/ (- (+ (* 2 (/ 1 im)) (* 4 (/ 1 (* im (pow re 2))))) (+ (* 8 (/ 1 (* im (pow re 4)))) (/ 4 (* im re)))) (pow re 2))
(/ 2 (* im (pow re 2)))
(/ (- (* 2 (/ 1 im)) (* 4 (/ 1 (* im re)))) (pow re 2))
(/ (+ (* -1 (/ (- (* 4 (/ 1 im)) (* 4 (/ 1 (* im re)))) re)) (* 2 (/ 1 im))) (pow re 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (- (* 4 (/ 1 im)) (* 8 (/ 1 (* im (pow re 2))))) re)) (* 4 (/ 1 im))) re)) (* 2 (/ 1 im))) (pow re 2))
(/ 1 (* im (+ 1 (* re (+ 1 (* 1/2 re))))))
(/ 1 (* im (+ 1 (* re (+ 1 (* 1/2 re))))))
(/ 1 (* im (+ 1 (* re (+ 1 (* 1/2 re))))))
(/ 1 (* im (+ 1 (* re (+ 1 (* 1/2 re))))))
(/ 1 (* im (+ 1 (* re (+ 1 (* 1/2 re))))))
(/ 1 (* im (+ 1 (* re (+ 1 (* 1/2 re))))))
(/ 1 (* im (+ 1 (* re (+ 1 (* 1/2 re))))))
(/ 1 (* im (+ 1 (* re (+ 1 (* 1/2 re))))))
(/ -1 (* im (- (* -1 (* re (+ 1 (* 1/2 re)))) 1)))
(/ -1 (* im (- (* -1 (* re (+ 1 (* 1/2 re)))) 1)))
(/ -1 (* im (- (* -1 (* re (+ 1 (* 1/2 re)))) 1)))
(/ -1 (* im (- (* -1 (* re (+ 1 (* 1/2 re)))) 1)))
1/2
(+ 1/2 (* 1/6 re))
(+ 1/2 (* 1/6 re))
(+ 1/2 (* 1/6 re))
(* 1/6 re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* 1/6 re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
1/2
(+ 1/2 (* -1/6 re))
(+ 1/2 (* -1/6 re))
(+ 1/2 (* -1/6 re))
(* -1/6 re)
(* re (- (* 1/2 (/ 1 re)) 1/6))
(* re (- (* 1/2 (/ 1 re)) 1/6))
(* re (- (* 1/2 (/ 1 re)) 1/6))
(* -1/6 re)
(* -1 (* re (- 1/6 (* 1/2 (/ 1 re)))))
(* -1 (* re (- 1/6 (* 1/2 (/ 1 re)))))
(* -1 (* re (- 1/6 (* 1/2 (/ 1 re)))))
1/4
(+ 1/4 (* -1/36 (pow re 2)))
(+ 1/4 (* -1/36 (pow re 2)))
(+ 1/4 (* -1/36 (pow re 2)))
(* -1/36 (pow re 2))
(* (pow re 2) (- (* 1/4 (/ 1 (pow re 2))) 1/36))
(* (pow re 2) (- (* 1/4 (/ 1 (pow re 2))) 1/36))
(* (pow re 2) (- (* 1/4 (/ 1 (pow re 2))) 1/36))
(* -1/36 (pow re 2))
(* (pow re 2) (- (* 1/4 (/ 1 (pow re 2))) 1/36))
(* (pow re 2) (- (* 1/4 (/ 1 (pow re 2))) 1/36))
(* (pow re 2) (- (* 1/4 (/ 1 (pow re 2))) 1/36))
(sin im)
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* im (exp re))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
1/2
(+ 1/2 (* 1/6 re))
(+ 1/2 (* 1/6 re))
(+ 1/2 (* 1/6 re))
(* 1/6 re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* 1/6 re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* 1/2 (pow re 2))
(* (pow re 2) (+ 1/2 (* 1/6 re)))
(* (pow re 2) (+ 1/2 (* 1/6 re)))
(* (pow re 2) (+ 1/2 (* 1/6 re)))
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
1
(+ 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)
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)
Outputs
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 #s(literal 1 binary64) re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(* 1/6 (pow re 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re)))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(*.f64 re (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re)) (*.f64 re re) #s(literal 1 binary64)))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))
(fma.f64 re (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re)) (*.f64 re re) #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 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(*.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 -1/2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 re re))) (/.f64 #s(literal -1 binary64) re)) re)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow re 2)))
(fma.f64 re (*.f64 re #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow re 2) (+ 1/2 (* 1/6 re))))
(fma.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow re 2) (+ 1/2 (* 1/6 re))))
(fma.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/6 (pow re 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re)))
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(/.f64 #s(literal 6 binary64) re)
(/ (- 6 (* 18 (/ 1 re))) re)
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) re)) re)
(/ (- (+ 6 (/ 54 (pow re 2))) (* 18 (/ 1 re))) re)
(/.f64 (-.f64 #s(literal 6 binary64) (/.f64 (+.f64 #s(literal 18 binary64) (/.f64 #s(literal -54 binary64) re)) re)) re)
(/ (- (+ 6 (/ 54 (pow re 2))) (+ (* 18 (/ 1 re)) (* 162 (/ 1 (pow re 3))))) re)
(/.f64 (+.f64 (-.f64 #s(literal 6 binary64) (/.f64 (+.f64 #s(literal 18 binary64) (/.f64 #s(literal -54 binary64) re)) re)) (/.f64 #s(literal -162 binary64) (*.f64 re (*.f64 re re)))) re)
(/ 6 re)
(/.f64 #s(literal 6 binary64) re)
(* -1 (/ (- (* 18 (/ 1 re)) 6) re))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) re)) re)
(* -1 (/ (- (* -1 (/ (- (* 54 (/ 1 re)) 18) re)) 6) re))
(/.f64 (-.f64 #s(literal 6 binary64) (/.f64 (+.f64 #s(literal 18 binary64) (/.f64 #s(literal -54 binary64) re)) re)) 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)) re)
(* 1/6 re)
(*.f64 re #s(literal 1/6 binary64))
(* 1/6 re)
(*.f64 re #s(literal 1/6 binary64))
(* 1/6 re)
(*.f64 re #s(literal 1/6 binary64))
(* 1/6 re)
(*.f64 re #s(literal 1/6 binary64))
(* 1/6 re)
(*.f64 re #s(literal 1/6 binary64))
(* 1/6 re)
(*.f64 re #s(literal 1/6 binary64))
(* 1/6 re)
(*.f64 re #s(literal 1/6 binary64))
(* 1/6 re)
(*.f64 re #s(literal 1/6 binary64))
(* 1/6 re)
(*.f64 re #s(literal 1/6 binary64))
(* 1/6 re)
(*.f64 re #s(literal 1/6 binary64))
(* 1/6 re)
(*.f64 re #s(literal 1/6 binary64))
(* 1/6 re)
(*.f64 re #s(literal 1/6 binary64))

rewrite301.0ms (1.7%)

Memory
7.9MiB live, 463.3MiB allocated
Rules
5 156×lower-fma.f32
5 144×lower-fma.f64
4 378×lower-*.f32
4 358×lower-*.f64
4 226×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052363
082352
1321297
22466297
08706294
Stop Event
iter limit
node limit
iter limit
Counts
24 → 735
Calls
Call 1
Inputs
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re)
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))
(*.f64 #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re)) (sin.f64 im))
#s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
#s(approx (* im (exp re)) (fma.f64 im re im))
(fma.f64 im re im)
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
(*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
#s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))
#s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im)))))
#s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im))))
(/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im))
(/.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 #s(literal 1/36 binary64) (*.f64 re re)))))
(-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))
(-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))
#s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))))) #s(literal 1 binary64)) #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 #s(literal 1/36 binary64) (*.f64 re re))))
(*.f64 re #s(literal 1/6 binary64))
Outputs
(+.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re))
(+.f64 re (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (+.f64 re #s(literal 1 binary64)))
(+.f64 (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) re))
(+.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) re)
(+.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) #s(literal 1 binary64))
(+.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (*.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (-.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) re)) (/.f64 (*.f64 re re) (-.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) re)))
(-.f64 (/.f64 (*.f64 re (*.f64 (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 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re))) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re))) (/.f64 (*.f64 re (*.f64 (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 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re))) (-.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re))))
(-.f64 (/.f64 (*.f64 re re) (-.f64 re (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (/.f64 (*.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (-.f64 re (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) re (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (+.f64 re #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) re))
(fma.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) #s(literal 1 binary64))
(fma.f64 re #s(literal 1 binary64) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (+.f64 re #s(literal 1 binary64)))
(fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) re))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 #s(literal 1 binary64) re))
(fma.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (+.f64 re #s(literal 1 binary64)))
(fma.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) re))
(fma.f64 (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64)))
(fma.f64 (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re))
(fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re (+.f64 re #s(literal 1 binary64)))
(fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re (+.f64 #s(literal 1 binary64) re))
(fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (/.f64 re #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64)))
(fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (/.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) re))
(fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) (*.f64 re (*.f64 re re)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (-.f64 (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))) re)
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 re (*.f64 (*.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 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) re)
(fma.f64 (/.f64 re (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (/.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)))) (+.f64 re #s(literal 1 binary64)))
(fma.f64 (/.f64 re (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (/.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)))) (+.f64 #s(literal 1 binary64) re))
(fma.f64 (/.f64 re (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (/.f64 re (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64))) #s(literal 1 binary64))) (+.f64 re #s(literal 1 binary64)))
(fma.f64 (/.f64 re (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (/.f64 re (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) re))
(fma.f64 (/.f64 re #s(literal 1 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (+.f64 re #s(literal 1 binary64)))
(fma.f64 (/.f64 re #s(literal 1 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) re))
(fma.f64 (/.f64 re (neg.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) (/.f64 re (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64))))) (+.f64 re #s(literal 1 binary64)))
(fma.f64 (/.f64 re (neg.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) (/.f64 re (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64))))) (+.f64 #s(literal 1 binary64) re))
(fma.f64 (/.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)))) (/.f64 re (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (+.f64 re #s(literal 1 binary64)))
(fma.f64 (/.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)))) (/.f64 re (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) re))
(fma.f64 (/.f64 re (/.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) #s(literal -1/46656 binary64))))) (/.f64 re (fma.f64 (*.f64 (*.f64 re 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 re #s(literal 1 binary64)))
(fma.f64 (/.f64 re (/.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) #s(literal -1/46656 binary64))))) (/.f64 re (fma.f64 (*.f64 (*.f64 re 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 #s(literal 1 binary64) re))
(fma.f64 (/.f64 re (/.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal 1/1296 binary64))))) (/.f64 re (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64))) (+.f64 re #s(literal 1 binary64)))
(fma.f64 (/.f64 re (/.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal 1/1296 binary64))))) (/.f64 re (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64))) (+.f64 #s(literal 1 binary64) re))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 re (-.f64 re (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (fma.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 re (*.f64 re re)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.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 (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 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) re))))
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(*.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal 1/1296 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 re (*.f64 re re)) #s(literal -1/216 binary64))) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) #s(literal -1/46656 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re #s(literal 1/6 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 re 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 #s(literal 1/8 binary64) (*.f64 (*.f64 re (*.f64 re re)) #s(literal -1/216 binary64))) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal 1/1296 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re #s(literal 1/6 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))))
(*.f64 (/.f64 (/.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 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) #s(literal -1/46656 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))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 re 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 (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 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal 1/1296 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))) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))))
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal -1/4 binary64))) (+.f64 #s(literal 1/64 binary64) (*.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)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 re 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 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal -1/4 binary64))) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal 1/1296 binary64)))) (/.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 re (*.f64 re re)) #s(literal -1/216 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re #s(literal 1/6 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (/.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))) #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 re) #s(literal -1/36 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal -1/4 binary64))) #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 (/.f64 (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) #s(literal -1/46656 binary64))) (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 re 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 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 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 (/.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 binary64) (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 (/.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 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 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64))))))
(*.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64))) (neg.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)))))
(*.f64 (/.f64 (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)) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 re (*.f64 re re)) #s(literal -1/216 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64))) (fma.f64 (*.f64 re #s(literal 1/6 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (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 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (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 re #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) re)

eval209.0ms (1.2%)

Memory
22.4MiB live, 366.1MiB allocated
Compiler

Compiled 35 033 to 3 992 computations (88.6% saved)

prune301.0ms (1.7%)

Memory
-25.7MiB live, 389.3MiB allocated
Pruning

59 alts after pruning (50 fresh and 9 done)

PrunedKeptTotal
New1 229311 260
Fresh101929
Picked325
Done178
Total1 243591 302
Accuracy
100.0%
Counts
1 302 → 59
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (exp.f64 re) (sin.f64 im))
63.4%
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im))
38.5%
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
61.8%
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im))
37.3%
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
37.7%
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
63.4%
(*.f64 #s(approx (exp re) (+.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) re)) (sin.f64 im))
49.6%
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im))
30.6%
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
30.5%
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
71.4%
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))
32.4%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
30.5%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (*.f64 re re) (*.f64 #s(literal -1/4 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) re))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
39.0%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #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)))))
30.2%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1/2 (* re 1/6)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
39.0%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
38.9%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* re 1/6)) (- 1/4 (* 1/36 (* re re)))) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) re)) re))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
38.9%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* re 1/6)) (- 1/4 (* 1/36 (* re re)))) (/.f64 #s(literal 6 binary64) re))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
30.5%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
30.5%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))) (-.f64 #s(literal 1 binary64) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))))
31.5%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 re (fma.f64 (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))))))
16.5%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)))))
22.2%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 (*.f64 re (*.f64 re re)) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 re re))) (/.f64 #s(literal -1 binary64) re)) re)))))))
16.5%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
6.5%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64))))))))))
16.5%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.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)))))))))
6.3%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (/.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 re 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))))))))))
16.5%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.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))))))))))
10.4%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 re (*.f64 re re)) #s(literal -1/216 binary64)))) (fma.f64 (*.f64 re #s(literal 1/6 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))))))))
16.3%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64)))))))))
15.0%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64))))))))
16.3%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)))))))
16.3%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re)))))))
26.2%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
49.0%
#s(approx (* (exp re) (sin im)) (sin.f64 im))
37.5%
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im im)))
37.9%
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 re im) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
38.3%
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 im (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) im)))
29.0%
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
14.6%
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (fma.f64 im (*.f64 im im) (*.f64 (*.f64 re im) (*.f64 re (*.f64 re (*.f64 im im))))) (fma.f64 re (*.f64 re (*.f64 im im)) (*.f64 im (-.f64 im (*.f64 re im)))))))
21.7%
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (*.f64 im im) (*.f64 re (*.f64 re (*.f64 im im)))) (-.f64 im (*.f64 re im)))))
18.7%
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)) (-.f64 (*.f64 re im) im))))
45.9%
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (fma.f64 re (fma.f64 (/.f64 #s(literal 1 binary64) im) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 (/.f64 re im) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) im))))))
40.8%
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (fma.f64 re (*.f64 (/.f64 #s(literal 1 binary64) im) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) im))))))
14.8%
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 re im)) (+.f64 (/.f64 #s(literal 4 binary64) re) #s(literal -4 binary64)) (/.f64 #s(literal 2 binary64) im)) (*.f64 re re))))))
11.3%
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 #s(literal 2 binary64) (*.f64 re (*.f64 re im)))))))
26.2%
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 #s(literal 1 binary64) im)))))
31.7%
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im))))))
11.1%
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re im))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) re)))))))
29.0%
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (+.f64 (*.f64 re im) im)))
14.2%
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (*.f64 (fma.f64 im (*.f64 im im) (*.f64 (*.f64 re im) (*.f64 re (*.f64 re (*.f64 im im))))) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re (*.f64 im im)) (*.f64 im (-.f64 im (*.f64 re im))))))))
18.7%
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (*.f64 (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 re im) im)))))
11.4%
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im)))))
11.3%
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 re im))))))
6.6%
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.f64 re im))))
30.0%
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)))
29.3%
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
29.3%
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
30.3%
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) (+ (* im (* im -1/5040)) 1/120)) -1/6) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal -1/5040 binary64))))) #s(literal 1 binary64)))))
Compiler

Compiled 2 561 to 913 computations (64.3% saved)

regimes227.0ms (1.3%)

Memory
-7.1MiB live, 149.4MiB allocated
Counts
79 → 1
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.f64 re im))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (+.f64 (*.f64 re im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 re im))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64))))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re)))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64)))))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 #s(literal 1 binary64) im)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 im (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 re im) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 #s(literal 2 binary64) (*.f64 re (*.f64 re im)))))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) (+ (* im (* im -1/5040)) 1/120)) -1/6) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal -1/5040 binary64))))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)) (-.f64 (*.f64 re im) im))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* re 1/6)) (- 1/4 (* 1/36 (* re re)))) (/.f64 #s(literal 6 binary64) re))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (*.f64 im im) (*.f64 re (*.f64 re (*.f64 im im)))) (-.f64 im (*.f64 re im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (*.f64 (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 re im) im)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.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(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.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))))))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (fma.f64 re (*.f64 (/.f64 #s(literal 1 binary64) im) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) im))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #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)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re im))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) re)))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1/2 (* re 1/6)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* re 1/6)) (- 1/4 (* 1/36 (* re re)))) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) re)) re))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 1 binary64))))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64))))))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))) (-.f64 #s(literal 1 binary64) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 (*.f64 re (*.f64 re re)) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 re re))) (/.f64 #s(literal -1 binary64) re)) re)))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (/.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 re 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(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 re im)) (+.f64 (/.f64 #s(literal 4 binary64) re) #s(literal -4 binary64)) (/.f64 #s(literal 2 binary64) im)) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (*.f64 re re) (*.f64 #s(literal -1/4 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) re))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (*.f64 (*.f64 (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 im (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 im))) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (fma.f64 im (*.f64 im im) (*.f64 (*.f64 re im) (*.f64 re (*.f64 re (*.f64 im im))))) (fma.f64 re (*.f64 re (*.f64 im im)) (*.f64 im (-.f64 im (*.f64 re im)))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (fma.f64 re (fma.f64 (/.f64 #s(literal 1 binary64) im) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 (/.f64 re im) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) im))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 re (*.f64 re re)) #s(literal -1/216 binary64)))) (fma.f64 (*.f64 re #s(literal 1/6 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (*.f64 (fma.f64 im (*.f64 im im) (*.f64 (*.f64 re im) (*.f64 re (*.f64 re (*.f64 im im))))) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re (*.f64 im im)) (*.f64 im (-.f64 im (*.f64 re im))))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (*.f64 re re)) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) (-.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im))
(*.f64 (exp.f64 re) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64)))))))
(*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im))
(*.f64 #s(approx (exp re) (+.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) re)) (sin.f64 im))
(*.f64 #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re)) (sin.f64 im))
(*.f64 (exp.f64 re) (sin.f64 im))
Outputs
(*.f64 (exp.f64 re) (sin.f64 im))
Calls

5 calls:

88.0ms
re
47.0ms
(sin.f64 im)
41.0ms
im
30.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
17.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
100.0%1re
100.0%1im
100.0%1(*.f64 (exp.f64 re) (sin.f64 im))
100.0%1(exp.f64 re)
100.0%1(sin.f64 im)
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes244.0ms (1.4%)

Memory
28.9MiB live, 143.1MiB allocated
Counts
78 → 5
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.f64 re im))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (+.f64 (*.f64 re im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 re im))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64))))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re)))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64)))))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 #s(literal 1 binary64) im)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 im (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 re im) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 #s(literal 2 binary64) (*.f64 re (*.f64 re im)))))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) (+ (* im (* im -1/5040)) 1/120)) -1/6) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal -1/5040 binary64))))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)) (-.f64 (*.f64 re im) im))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* re 1/6)) (- 1/4 (* 1/36 (* re re)))) (/.f64 #s(literal 6 binary64) re))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (*.f64 im im) (*.f64 re (*.f64 re (*.f64 im im)))) (-.f64 im (*.f64 re im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (*.f64 (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 re im) im)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.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(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.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))))))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (fma.f64 re (*.f64 (/.f64 #s(literal 1 binary64) im) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) im))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #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)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re im))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) re)))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1/2 (* re 1/6)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* re 1/6)) (- 1/4 (* 1/36 (* re re)))) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) re)) re))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 1 binary64))))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64))))))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))) (-.f64 #s(literal 1 binary64) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 (*.f64 re (*.f64 re re)) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 re re))) (/.f64 #s(literal -1 binary64) re)) re)))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (/.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 re 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(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 re im)) (+.f64 (/.f64 #s(literal 4 binary64) re) #s(literal -4 binary64)) (/.f64 #s(literal 2 binary64) im)) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (*.f64 re re) (*.f64 #s(literal -1/4 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) re))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (*.f64 (*.f64 (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 im (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 im))) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (fma.f64 im (*.f64 im im) (*.f64 (*.f64 re im) (*.f64 re (*.f64 re (*.f64 im im))))) (fma.f64 re (*.f64 re (*.f64 im im)) (*.f64 im (-.f64 im (*.f64 re im)))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (fma.f64 re (fma.f64 (/.f64 #s(literal 1 binary64) im) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 (/.f64 re im) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) im))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 re (*.f64 re re)) #s(literal -1/216 binary64)))) (fma.f64 (*.f64 re #s(literal 1/6 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (*.f64 (fma.f64 im (*.f64 im im) (*.f64 (*.f64 re im) (*.f64 re (*.f64 re (*.f64 im im))))) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re (*.f64 im im)) (*.f64 im (-.f64 im (*.f64 re im))))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (*.f64 re re)) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) (-.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im))
(*.f64 (exp.f64 re) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64)))))))
(*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im))
(*.f64 #s(approx (exp re) (+.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) re)) (sin.f64 im))
(*.f64 #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re)) (sin.f64 im))
Outputs
(*.f64 (exp.f64 re) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64)))))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))
(*.f64 #s(approx (exp re) (+.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) re)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))
Calls

5 calls:

83.0ms
(sin.f64 im)
75.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
44.0ms
re
21.0ms
im
17.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
97.5%4re
83.9%2im
99.8%5(*.f64 (exp.f64 re) (sin.f64 im))
94.3%3(exp.f64 re)
85.1%3(sin.f64 im)
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes48.0ms (0.3%)

Memory
-8.4MiB live, 44.1MiB allocated
Counts
76 → 5
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.f64 re im))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (+.f64 (*.f64 re im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 re im))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64))))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re)))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64)))))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 #s(literal 1 binary64) im)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 im (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 re im) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 #s(literal 2 binary64) (*.f64 re (*.f64 re im)))))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) (+ (* im (* im -1/5040)) 1/120)) -1/6) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal -1/5040 binary64))))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)) (-.f64 (*.f64 re im) im))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* re 1/6)) (- 1/4 (* 1/36 (* re re)))) (/.f64 #s(literal 6 binary64) re))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (*.f64 im im) (*.f64 re (*.f64 re (*.f64 im im)))) (-.f64 im (*.f64 re im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (*.f64 (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 re im) im)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.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(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.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))))))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (fma.f64 re (*.f64 (/.f64 #s(literal 1 binary64) im) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) im))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #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)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re im))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) re)))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1/2 (* re 1/6)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* re 1/6)) (- 1/4 (* 1/36 (* re re)))) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) re)) re))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 1 binary64))))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64))))))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))) (-.f64 #s(literal 1 binary64) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 (*.f64 re (*.f64 re re)) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 re re))) (/.f64 #s(literal -1 binary64) re)) re)))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (/.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 re 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(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 re im)) (+.f64 (/.f64 #s(literal 4 binary64) re) #s(literal -4 binary64)) (/.f64 #s(literal 2 binary64) im)) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (*.f64 re re) (*.f64 #s(literal -1/4 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) re))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (*.f64 (*.f64 (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 im (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 im))) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (fma.f64 im (*.f64 im im) (*.f64 (*.f64 re im) (*.f64 re (*.f64 re (*.f64 im im))))) (fma.f64 re (*.f64 re (*.f64 im im)) (*.f64 im (-.f64 im (*.f64 re im)))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (fma.f64 re (fma.f64 (/.f64 #s(literal 1 binary64) im) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 (/.f64 re im) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) im))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 re (*.f64 re re)) #s(literal -1/216 binary64)))) (fma.f64 (*.f64 re #s(literal 1/6 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (*.f64 (fma.f64 im (*.f64 im im) (*.f64 (*.f64 re im) (*.f64 re (*.f64 re (*.f64 im im))))) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re (*.f64 im im)) (*.f64 im (-.f64 im (*.f64 re im))))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (*.f64 re re)) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) (-.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im))
(*.f64 (exp.f64 re) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64)))))))
(*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im))
Outputs
(*.f64 (exp.f64 re) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64)))))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))
Calls

1 calls:

43.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
99.8%5(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes29.0ms (0.2%)

Memory
2.0MiB live, 40.8MiB allocated
Counts
75 → 5
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.f64 re im))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (+.f64 (*.f64 re im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 re im))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64))))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re)))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64)))))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 #s(literal 1 binary64) im)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 im (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 re im) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 #s(literal 2 binary64) (*.f64 re (*.f64 re im)))))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) (+ (* im (* im -1/5040)) 1/120)) -1/6) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal -1/5040 binary64))))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)) (-.f64 (*.f64 re im) im))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* re 1/6)) (- 1/4 (* 1/36 (* re re)))) (/.f64 #s(literal 6 binary64) re))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (*.f64 im im) (*.f64 re (*.f64 re (*.f64 im im)))) (-.f64 im (*.f64 re im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (*.f64 (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 re im) im)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.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(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.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))))))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (fma.f64 re (*.f64 (/.f64 #s(literal 1 binary64) im) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) im))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #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)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re im))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) re)))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1/2 (* re 1/6)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* re 1/6)) (- 1/4 (* 1/36 (* re re)))) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) re)) re))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 1 binary64))))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64))))))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))) (-.f64 #s(literal 1 binary64) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 (*.f64 re (*.f64 re re)) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 re re))) (/.f64 #s(literal -1 binary64) re)) re)))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (/.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 re 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(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 re im)) (+.f64 (/.f64 #s(literal 4 binary64) re) #s(literal -4 binary64)) (/.f64 #s(literal 2 binary64) im)) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (*.f64 re re) (*.f64 #s(literal -1/4 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) re))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (*.f64 (*.f64 (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 im (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 im))) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (fma.f64 im (*.f64 im im) (*.f64 (*.f64 re im) (*.f64 re (*.f64 re (*.f64 im im))))) (fma.f64 re (*.f64 re (*.f64 im im)) (*.f64 im (-.f64 im (*.f64 re im)))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (fma.f64 re (fma.f64 (/.f64 #s(literal 1 binary64) im) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 (/.f64 re im) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) im))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 re (*.f64 re re)) #s(literal -1/216 binary64)))) (fma.f64 (*.f64 re #s(literal 1/6 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (*.f64 (fma.f64 im (*.f64 im im) (*.f64 (*.f64 re im) (*.f64 re (*.f64 re (*.f64 im im))))) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re (*.f64 im im)) (*.f64 im (-.f64 im (*.f64 re im))))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (*.f64 re re)) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) (-.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im))
(*.f64 (exp.f64 re) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64)))))))
(*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
Outputs
(*.f64 (exp.f64 re) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64)))))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))
Calls

1 calls:

18.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
99.8%5(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes66.0ms (0.4%)

Memory
2.6MiB live, 40.0MiB allocated
Counts
73 → 5
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.f64 re im))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (+.f64 (*.f64 re im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 re im))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64))))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re)))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64)))))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 #s(literal 1 binary64) im)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 im (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 re im) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 #s(literal 2 binary64) (*.f64 re (*.f64 re im)))))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) (+ (* im (* im -1/5040)) 1/120)) -1/6) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal -1/5040 binary64))))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)) (-.f64 (*.f64 re im) im))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* re 1/6)) (- 1/4 (* 1/36 (* re re)))) (/.f64 #s(literal 6 binary64) re))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (*.f64 im im) (*.f64 re (*.f64 re (*.f64 im im)))) (-.f64 im (*.f64 re im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (*.f64 (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 re im) im)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.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(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.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))))))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (fma.f64 re (*.f64 (/.f64 #s(literal 1 binary64) im) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) im))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #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)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re im))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) re)))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1/2 (* re 1/6)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* re 1/6)) (- 1/4 (* 1/36 (* re re)))) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) re)) re))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 1 binary64))))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64))))))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))) (-.f64 #s(literal 1 binary64) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 (*.f64 re (*.f64 re re)) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 re re))) (/.f64 #s(literal -1 binary64) re)) re)))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (/.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 re 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(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 re im)) (+.f64 (/.f64 #s(literal 4 binary64) re) #s(literal -4 binary64)) (/.f64 #s(literal 2 binary64) im)) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (*.f64 re re) (*.f64 #s(literal -1/4 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) re))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (*.f64 (*.f64 (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 im (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 im))) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (fma.f64 im (*.f64 im im) (*.f64 (*.f64 re im) (*.f64 re (*.f64 re (*.f64 im im))))) (fma.f64 re (*.f64 re (*.f64 im im)) (*.f64 im (-.f64 im (*.f64 re im)))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (fma.f64 re (fma.f64 (/.f64 #s(literal 1 binary64) im) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 (/.f64 re im) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) im))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 re (*.f64 re re)) #s(literal -1/216 binary64)))) (fma.f64 (*.f64 re #s(literal 1/6 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (*.f64 (fma.f64 im (*.f64 im im) (*.f64 (*.f64 re im) (*.f64 re (*.f64 re (*.f64 im im))))) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re (*.f64 im im)) (*.f64 im (-.f64 im (*.f64 re im))))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (*.f64 re re)) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) (-.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im))
Outputs
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))
Calls

1 calls:

17.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
99.4%5(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes65.0ms (0.4%)

Memory
2.2MiB live, 39.6MiB allocated
Counts
72 → 5
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.f64 re im))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (+.f64 (*.f64 re im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 re im))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64))))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re)))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64)))))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 #s(literal 1 binary64) im)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 im (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 re im) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 #s(literal 2 binary64) (*.f64 re (*.f64 re im)))))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) (+ (* im (* im -1/5040)) 1/120)) -1/6) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal -1/5040 binary64))))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)) (-.f64 (*.f64 re im) im))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* re 1/6)) (- 1/4 (* 1/36 (* re re)))) (/.f64 #s(literal 6 binary64) re))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (*.f64 im im) (*.f64 re (*.f64 re (*.f64 im im)))) (-.f64 im (*.f64 re im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (*.f64 (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 re im) im)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.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(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.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))))))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (fma.f64 re (*.f64 (/.f64 #s(literal 1 binary64) im) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) im))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #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)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re im))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) re)))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1/2 (* re 1/6)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* re 1/6)) (- 1/4 (* 1/36 (* re re)))) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) re)) re))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 1 binary64))))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64))))))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))) (-.f64 #s(literal 1 binary64) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 (*.f64 re (*.f64 re re)) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 re re))) (/.f64 #s(literal -1 binary64) re)) re)))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (/.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 re 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(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 re im)) (+.f64 (/.f64 #s(literal 4 binary64) re) #s(literal -4 binary64)) (/.f64 #s(literal 2 binary64) im)) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (*.f64 re re) (*.f64 #s(literal -1/4 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) re))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (*.f64 (*.f64 (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 im (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 im))) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (fma.f64 im (*.f64 im im) (*.f64 (*.f64 re im) (*.f64 re (*.f64 re (*.f64 im im))))) (fma.f64 re (*.f64 re (*.f64 im im)) (*.f64 im (-.f64 im (*.f64 re im)))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (fma.f64 re (fma.f64 (/.f64 #s(literal 1 binary64) im) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 (/.f64 re im) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) im))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 re (*.f64 re re)) #s(literal -1/216 binary64)))) (fma.f64 (*.f64 re #s(literal 1/6 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (*.f64 (fma.f64 im (*.f64 im im) (*.f64 (*.f64 re im) (*.f64 re (*.f64 re (*.f64 im im))))) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re (*.f64 im im)) (*.f64 im (-.f64 im (*.f64 re im))))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (*.f64 re re)) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) (-.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im))
Outputs
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))
Calls

1 calls:

17.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
99.4%5(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes69.0ms (0.4%)

Memory
-1.0MiB live, 38.4MiB allocated
Counts
71 → 5
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.f64 re im))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (+.f64 (*.f64 re im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 re im))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64))))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re)))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64)))))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 #s(literal 1 binary64) im)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 im (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 re im) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 #s(literal 2 binary64) (*.f64 re (*.f64 re im)))))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) (+ (* im (* im -1/5040)) 1/120)) -1/6) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal -1/5040 binary64))))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)) (-.f64 (*.f64 re im) im))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* re 1/6)) (- 1/4 (* 1/36 (* re re)))) (/.f64 #s(literal 6 binary64) re))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (*.f64 im im) (*.f64 re (*.f64 re (*.f64 im im)))) (-.f64 im (*.f64 re im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (*.f64 (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 re im) im)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.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(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.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))))))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (fma.f64 re (*.f64 (/.f64 #s(literal 1 binary64) im) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) im))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #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)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re im))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) re)))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1/2 (* re 1/6)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* re 1/6)) (- 1/4 (* 1/36 (* re re)))) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) re)) re))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 1 binary64))))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64))))))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))) (-.f64 #s(literal 1 binary64) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 (*.f64 re (*.f64 re re)) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 re re))) (/.f64 #s(literal -1 binary64) re)) re)))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (/.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 re 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(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 re im)) (+.f64 (/.f64 #s(literal 4 binary64) re) #s(literal -4 binary64)) (/.f64 #s(literal 2 binary64) im)) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (*.f64 re re) (*.f64 #s(literal -1/4 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) re))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (*.f64 (*.f64 (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 im (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 im))) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (fma.f64 im (*.f64 im im) (*.f64 (*.f64 re im) (*.f64 re (*.f64 re (*.f64 im im))))) (fma.f64 re (*.f64 re (*.f64 im im)) (*.f64 im (-.f64 im (*.f64 re im)))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (fma.f64 re (fma.f64 (/.f64 #s(literal 1 binary64) im) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 (/.f64 re im) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) im))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 re (*.f64 re re)) #s(literal -1/216 binary64)))) (fma.f64 (*.f64 re #s(literal 1/6 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (*.f64 (fma.f64 im (*.f64 im im) (*.f64 (*.f64 re im) (*.f64 re (*.f64 re (*.f64 im im))))) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re (*.f64 im im)) (*.f64 im (-.f64 im (*.f64 re im))))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (*.f64 re re)) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) (-.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))
Outputs
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))
Calls

1 calls:

17.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
99.2%5(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes296.0ms (1.7%)

Memory
-14.3MiB live, 180.5MiB allocated
Counts
70 → 4
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.f64 re im))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (+.f64 (*.f64 re im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 re im))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64))))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re)))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64)))))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 #s(literal 1 binary64) im)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 im (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 re im) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 #s(literal 2 binary64) (*.f64 re (*.f64 re im)))))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) (+ (* im (* im -1/5040)) 1/120)) -1/6) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal -1/5040 binary64))))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)) (-.f64 (*.f64 re im) im))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* re 1/6)) (- 1/4 (* 1/36 (* re re)))) (/.f64 #s(literal 6 binary64) re))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (*.f64 im im) (*.f64 re (*.f64 re (*.f64 im im)))) (-.f64 im (*.f64 re im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (*.f64 (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 re im) im)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.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(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.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))))))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (fma.f64 re (*.f64 (/.f64 #s(literal 1 binary64) im) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) im))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #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)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re im))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) re)))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1/2 (* re 1/6)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* re 1/6)) (- 1/4 (* 1/36 (* re re)))) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) re)) re))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 1 binary64))))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64))))))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))) (-.f64 #s(literal 1 binary64) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 (*.f64 re (*.f64 re re)) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 re re))) (/.f64 #s(literal -1 binary64) re)) re)))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (/.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 re 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(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 re im)) (+.f64 (/.f64 #s(literal 4 binary64) re) #s(literal -4 binary64)) (/.f64 #s(literal 2 binary64) im)) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (*.f64 re re) (*.f64 #s(literal -1/4 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) re))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (*.f64 (*.f64 (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 im (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 im))) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (fma.f64 im (*.f64 im im) (*.f64 (*.f64 re im) (*.f64 re (*.f64 re (*.f64 im im))))) (fma.f64 re (*.f64 re (*.f64 im im)) (*.f64 im (-.f64 im (*.f64 re im)))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (fma.f64 re (fma.f64 (/.f64 #s(literal 1 binary64) im) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 (/.f64 re im) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) im))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 re (*.f64 re re)) #s(literal -1/216 binary64)))) (fma.f64 (*.f64 re #s(literal 1/6 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (*.f64 (fma.f64 im (*.f64 im im) (*.f64 (*.f64 re im) (*.f64 re (*.f64 re (*.f64 im im))))) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re (*.f64 im im)) (*.f64 im (-.f64 im (*.f64 re im))))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (*.f64 re re)) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) (-.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
Outputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (fma.f64 re (fma.f64 (/.f64 #s(literal 1 binary64) im) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 (/.f64 re im) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) im))))))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re)))))))
Calls

5 calls:

65.0ms
re
65.0ms
(exp.f64 re)
59.0ms
im
41.0ms
(sin.f64 im)
17.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
63.5%4(sin.f64 im)
63.1%3im
81.6%3(exp.f64 re)
85.8%4re
86.9%5(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes255.0ms (1.5%)

Memory
-17.2MiB live, 103.6MiB allocated
Counts
69 → 3
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.f64 re im))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (+.f64 (*.f64 re im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 re im))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64))))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re)))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64)))))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 #s(literal 1 binary64) im)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 im (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 re im) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 #s(literal 2 binary64) (*.f64 re (*.f64 re im)))))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) (+ (* im (* im -1/5040)) 1/120)) -1/6) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal -1/5040 binary64))))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)) (-.f64 (*.f64 re im) im))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* re 1/6)) (- 1/4 (* 1/36 (* re re)))) (/.f64 #s(literal 6 binary64) re))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (*.f64 im im) (*.f64 re (*.f64 re (*.f64 im im)))) (-.f64 im (*.f64 re im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (*.f64 (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 re im) im)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.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(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.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))))))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (fma.f64 re (*.f64 (/.f64 #s(literal 1 binary64) im) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) im))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #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)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re im))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) re)))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1/2 (* re 1/6)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* re 1/6)) (- 1/4 (* 1/36 (* re re)))) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) re)) re))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 1 binary64))))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64))))))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))) (-.f64 #s(literal 1 binary64) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 (*.f64 re (*.f64 re re)) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 re re))) (/.f64 #s(literal -1 binary64) re)) re)))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (/.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 re 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(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 re im)) (+.f64 (/.f64 #s(literal 4 binary64) re) #s(literal -4 binary64)) (/.f64 #s(literal 2 binary64) im)) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (*.f64 re re) (*.f64 #s(literal -1/4 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) re))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (*.f64 (*.f64 (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 im (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 im))) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (fma.f64 im (*.f64 im im) (*.f64 (*.f64 re im) (*.f64 re (*.f64 re (*.f64 im im))))) (fma.f64 re (*.f64 re (*.f64 im im)) (*.f64 im (-.f64 im (*.f64 re im)))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (fma.f64 re (fma.f64 (/.f64 #s(literal 1 binary64) im) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 (/.f64 re im) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) im))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 re (*.f64 re re)) #s(literal -1/216 binary64)))) (fma.f64 (*.f64 re #s(literal 1/6 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (*.f64 (fma.f64 im (*.f64 im im) (*.f64 (*.f64 re im) (*.f64 re (*.f64 re (*.f64 im im))))) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re (*.f64 im im)) (*.f64 im (-.f64 im (*.f64 re im))))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (*.f64 re re)) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) (-.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)))))
Outputs
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (fma.f64 re (fma.f64 (/.f64 #s(literal 1 binary64) im) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 (/.f64 re im) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) im))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* re 1/6)) (- 1/4 (* 1/36 (* re re)))) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) re)) re))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
Calls

3 calls:

86.0ms
re
81.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
15.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
59.1%2(exp.f64 re)
64.5%3(*.f64 (exp.f64 re) (sin.f64 im))
63.2%3re
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes212.0ms (1.2%)

Memory
35.5MiB live, 113.9MiB allocated
Counts
65 → 3
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.f64 re im))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (+.f64 (*.f64 re im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 re im))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64))))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re)))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64)))))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 #s(literal 1 binary64) im)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 im (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 re im) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 #s(literal 2 binary64) (*.f64 re (*.f64 re im)))))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) (+ (* im (* im -1/5040)) 1/120)) -1/6) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal -1/5040 binary64))))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)) (-.f64 (*.f64 re im) im))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* re 1/6)) (- 1/4 (* 1/36 (* re re)))) (/.f64 #s(literal 6 binary64) re))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (*.f64 im im) (*.f64 re (*.f64 re (*.f64 im im)))) (-.f64 im (*.f64 re im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (*.f64 (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 re im) im)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.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(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.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))))))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (fma.f64 re (*.f64 (/.f64 #s(literal 1 binary64) im) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) im))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #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)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re im))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) re)))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1/2 (* re 1/6)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* re 1/6)) (- 1/4 (* 1/36 (* re re)))) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) re)) re))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 1 binary64))))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64))))))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))) (-.f64 #s(literal 1 binary64) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 (*.f64 re (*.f64 re re)) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 re re))) (/.f64 #s(literal -1 binary64) re)) re)))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (/.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 re 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(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 re im)) (+.f64 (/.f64 #s(literal 4 binary64) re) #s(literal -4 binary64)) (/.f64 #s(literal 2 binary64) im)) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (*.f64 re re) (*.f64 #s(literal -1/4 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) re))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (*.f64 (*.f64 (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 im (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 im))) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (fma.f64 im (*.f64 im im) (*.f64 (*.f64 re im) (*.f64 re (*.f64 re (*.f64 im im))))) (fma.f64 re (*.f64 re (*.f64 im im)) (*.f64 im (-.f64 im (*.f64 re im)))))))
Outputs
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (fma.f64 re (*.f64 (/.f64 #s(literal 1 binary64) im) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) im))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* re 1/6)) (- 1/4 (* 1/36 (* re re)))) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) re)) re))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
Calls

5 calls:

83.0ms
re
78.0ms
im
17.0ms
(sin.f64 im)
16.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
14.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
53.9%2(exp.f64 re)
48.6%3(sin.f64 im)
45.2%3im
58.0%3re
59.3%3(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes69.0ms (0.4%)

Memory
-18.1MiB live, 20.9MiB allocated
Counts
51 → 3
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.f64 re im))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (+.f64 (*.f64 re im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 re im))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64))))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re)))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64)))))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 #s(literal 1 binary64) im)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 im (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 re im) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 #s(literal 2 binary64) (*.f64 re (*.f64 re im)))))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) (+ (* im (* im -1/5040)) 1/120)) -1/6) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal -1/5040 binary64))))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)) (-.f64 (*.f64 re im) im))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* re 1/6)) (- 1/4 (* 1/36 (* re re)))) (/.f64 #s(literal 6 binary64) re))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (*.f64 im im) (*.f64 re (*.f64 re (*.f64 im im)))) (-.f64 im (*.f64 re im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (*.f64 (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 re im) im)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.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(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.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))))))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (fma.f64 re (*.f64 (/.f64 #s(literal 1 binary64) im) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) im))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #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)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re im))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) re)))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1/2 (* re 1/6)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* re 1/6)) (- 1/4 (* 1/36 (* re re)))) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) re)) re))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 1 binary64))))))
Outputs
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (fma.f64 re (*.f64 (/.f64 #s(literal 1 binary64) im) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) im))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* re 1/6)) (- 1/4 (* 1/36 (* re re)))) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) re)) re))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
Calls

1 calls:

65.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
59.0%3(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes28.0ms (0.2%)

Memory
-27.5MiB live, 24.6MiB allocated
Counts
49 → 3
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.f64 re im))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (+.f64 (*.f64 re im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 re im))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64))))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re)))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64)))))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 #s(literal 1 binary64) im)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 im (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 re im) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 #s(literal 2 binary64) (*.f64 re (*.f64 re im)))))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) (+ (* im (* im -1/5040)) 1/120)) -1/6) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal -1/5040 binary64))))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)) (-.f64 (*.f64 re im) im))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* re 1/6)) (- 1/4 (* 1/36 (* re re)))) (/.f64 #s(literal 6 binary64) re))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (*.f64 im im) (*.f64 re (*.f64 re (*.f64 im im)))) (-.f64 im (*.f64 re im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (*.f64 (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 re im) im)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.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(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.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))))))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (fma.f64 re (*.f64 (/.f64 #s(literal 1 binary64) im) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) im))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #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)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re im))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) re)))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1/2 (* re 1/6)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
Outputs
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (fma.f64 re (*.f64 (/.f64 #s(literal 1 binary64) im) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) im))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
Calls

1 calls:

12.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
59.0%3(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes57.0ms (0.3%)

Memory
19.7MiB live, 58.3MiB allocated
Counts
44 → 3
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.f64 re im))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (+.f64 (*.f64 re im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 re im))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64))))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re)))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64)))))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 #s(literal 1 binary64) im)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 im (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 re im) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 #s(literal 2 binary64) (*.f64 re (*.f64 re im)))))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) (+ (* im (* im -1/5040)) 1/120)) -1/6) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal -1/5040 binary64))))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)) (-.f64 (*.f64 re im) im))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* re 1/6)) (- 1/4 (* 1/36 (* re re)))) (/.f64 #s(literal 6 binary64) re))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (*.f64 im im) (*.f64 re (*.f64 re (*.f64 im im)))) (-.f64 im (*.f64 re im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (*.f64 (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 re im) im)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.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(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.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))))))))))
Outputs
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (*.f64 im im) (*.f64 re (*.f64 re (*.f64 im im)))) (-.f64 im (*.f64 re im)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
Calls

3 calls:

30.0ms
(exp.f64 re)
12.0ms
re
11.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
45.4%2(exp.f64 re)
47.4%3re
50.5%3(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes12.0ms (0.1%)

Memory
20.5MiB live, 20.5MiB allocated
Counts
38 → 3
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.f64 re im))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (+.f64 (*.f64 re im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 re im))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64))))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re)))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64)))))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 #s(literal 1 binary64) im)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 im (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 re im) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 #s(literal 2 binary64) (*.f64 re (*.f64 re im)))))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) (+ (* im (* im -1/5040)) 1/120)) -1/6) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal -1/5040 binary64))))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)) (-.f64 (*.f64 re im) im))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* re 1/6)) (- 1/4 (* 1/36 (* re re)))) (/.f64 #s(literal 6 binary64) re))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
Outputs
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
Calls

1 calls:

10.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
50.1%3(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes20.0ms (0.1%)

Memory
-17.1MiB live, 21.8MiB allocated
Counts
37 → 3
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.f64 re im))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (+.f64 (*.f64 re im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 re im))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64))))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re)))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64)))))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 #s(literal 1 binary64) im)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 im (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 re im) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 #s(literal 2 binary64) (*.f64 re (*.f64 re im)))))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) (+ (* im (* im -1/5040)) 1/120)) -1/6) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal -1/5040 binary64))))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)) (-.f64 (*.f64 re im) im))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* re 1/6)) (- 1/4 (* 1/36 (* re re)))) (/.f64 #s(literal 6 binary64) re))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
Outputs
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
Calls

1 calls:

9.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
50.1%3(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes149.0ms (0.9%)

Memory
-22.0MiB live, 59.8MiB allocated
Counts
32 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.f64 re im))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (+.f64 (*.f64 re im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 re im))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64))))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re)))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64)))))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 #s(literal 1 binary64) im)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 im (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 re im) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 #s(literal 2 binary64) (*.f64 re (*.f64 re im)))))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) (+ (* im (* im -1/5040)) 1/120)) -1/6) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal -1/5040 binary64))))) #s(literal 1 binary64)))))
Outputs
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) (+ (* im (* im -1/5040)) 1/120)) -1/6) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal -1/5040 binary64))))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
Calls

4 calls:

68.0ms
(sin.f64 im)
9.0ms
re
8.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
7.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
39.0%1(exp.f64 re)
39.0%1re
44.1%2(sin.f64 im)
44.4%2(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes10.0ms (0.1%)

Memory
17.8MiB live, 17.9MiB allocated
Counts
31 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.f64 re im))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (+.f64 (*.f64 re im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 re im))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64))))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re)))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64)))))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 #s(literal 1 binary64) im)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 im (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 re im) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 #s(literal 2 binary64) (*.f64 re (*.f64 re im)))))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
Outputs
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
Calls

1 calls:

8.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
44.2%2(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes80.0ms (0.5%)

Memory
1.9MiB live, 41.2MiB allocated
Counts
26 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.f64 re im))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (+.f64 (*.f64 re im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 re im))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64))))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re)))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64)))))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 #s(literal 1 binary64) im)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 im (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 re im) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
Outputs
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
Calls

3 calls:

63.0ms
(sin.f64 im)
8.0ms
im
7.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
39.0%1im
43.0%2(sin.f64 im)
43.3%2(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes8.0ms (0%)

Memory
12.2MiB live, 12.2MiB allocated
Counts
25 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.f64 re im))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (+.f64 (*.f64 re im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 re im))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64))))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re)))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64)))))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 #s(literal 1 binary64) im)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 im (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 re im) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
Outputs
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
Calls

1 calls:

7.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
43.0%2(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes63.0ms (0.4%)

Memory
-21.6MiB live, 17.6MiB allocated
Counts
18 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.f64 re im))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (+.f64 (*.f64 re im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 re im))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64))))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re)))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64)))))))))
Outputs
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re)))))))
Calls

2 calls:

56.0ms
(sin.f64 im)
5.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
41.5%2(sin.f64 im)
42.8%2(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes5.0ms (0%)

Memory
8.4MiB live, 8.4MiB allocated
Counts
15 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.f64 re im))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (+.f64 (*.f64 re im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 re im))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64))))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
Outputs
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im im)))
Calls

1 calls:

4.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
41.8%2(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes5.0ms (0%)

Memory
7.6MiB live, 7.6MiB allocated
Counts
13 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.f64 re im))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (+.f64 (*.f64 re im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 re im))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64))))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)))
Outputs
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))))
Calls

1 calls:

4.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
41.5%2(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes66.0ms (0.4%)

Memory
-13.7MiB live, 25.7MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.f64 re im))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (+.f64 (*.f64 re im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 re im))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64))))))))
Outputs
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))))
Calls

5 calls:

53.0ms
im
3.0ms
(sin.f64 im)
3.0ms
re
3.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
2.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
37.6%2re
31.0%2im
37.6%2(exp.f64 re)
30.8%2(sin.f64 im)
37.6%2(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes12.0ms (0.1%)

Memory
20.5MiB live, 20.5MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.f64 re im))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (+.f64 (*.f64 re im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))))
Outputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
Calls

5 calls:

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

Compiled 21 to 15 computations (28.6% saved)

regimes61.0ms (0.4%)

Memory
-23.2MiB live, 18.3MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.f64 re im))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
Outputs
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.f64 re im))))
Calls

5 calls:

2.0ms
(sin.f64 im)
2.0ms
im
2.0ms
re
1.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
1.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
29.1%2im
28.7%2(sin.f64 im)
29.0%2re
29.0%2(exp.f64 re)
29.0%2(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes6.0ms (0%)

Memory
19.1MiB live, 19.0MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.f64 re im))))
Outputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.f64 re im))))
Calls

5 calls:

1.0ms
(sin.f64 im)
1.0ms
re
1.0ms
im
1.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
1.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
6.6%1(sin.f64 im)
6.6%1re
6.6%1(exp.f64 re)
6.6%1(*.f64 (exp.f64 re) (sin.f64 im))
6.6%1im
Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9990657095919793
+inf
0.0ms
6.660012679986446e-260
6.502492614474271e-257
0.0ms
-0.03873587485889432
-0.0
0.0ms
-inf
-0.999958111166958
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
0.9990657095919793
+inf
0.0ms
6.660012679986446e-260
6.502492614474271e-257
0.0ms
-0.03873587485889432
-0.0
0.0ms
-inf
-0.999958111166958
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
0.9990657095919793
+inf
0.0ms
6.660012679986446e-260
6.502492614474271e-257
0.0ms
-0.03873587485889432
-0.0
0.0ms
-inf
-0.999958111166958
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
0.9990657095919793
+inf
0.0ms
6.660012679986446e-260
6.502492614474271e-257
0.0ms
-0.03873587485889432
-0.0
0.0ms
-inf
-0.999958111166958
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
0.9990657095919793
+inf
0.0ms
6.660012679986446e-260
6.502492614474271e-257
0.0ms
-0.03873587485889432
-0.0
0.0ms
-inf
-0.999958111166958
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch1.0ms (0%)

Memory
2.7MiB live, 2.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9990657095919793
+inf
0.0ms
5.398580118730497e-71
8.190763958989877e-71
0.0ms
-0.03873587485889432
-0.0
0.0ms
-inf
-0.999958111166958
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch40.0ms (0.2%)

Memory
-23.7MiB live, 93.1MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
4.61522796553907e+102
1.0249358012526661e+121
16.0ms
8.742440216254482e-16
8.652255047533076e-7
11.0ms
-9.056949024841857e+22
-5.399711518472846e+20
Samples
24.0ms352×0valid
Compiler

Compiled 976 to 474 computations (51.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-sin: 11.0ms (67.4% of total)
ival-exp: 3.0ms (18.4% of total)
ival-mult: 2.0ms (12.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.1107273009537413e-290
2.1447309888561363e-276
0.0ms
-0.03873587485889432
-0.0
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
1.1107273009537413e-290
2.1447309888561363e-276
0.0ms
-0.03873587485889432
-0.0
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.1107273009537413e-290
2.1447309888561363e-276
0.0ms
-0.03873587485889432
-0.0
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.1107273009537413e-290
2.1447309888561363e-276
0.0ms
-0.03873587485889432
-0.0
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
2.831112776245267e-304
0.0ms
-0.03873587485889432
-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
0.0
2.831112776245267e-304
0.0ms
-0.03873587485889432
-0.0
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
2.831112776245267e-304
0.0ms
-0.03873587485889432
-0.0
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
2.831112776245267e-304
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
2.831112776245267e-304
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
2.831112776245267e-304
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
2.9277664459393773e-8
0.03340998450127194
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
2.9277664459393773e-8
0.03340998450127194
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
2.831112776245267e-304
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
2.9277664459393773e-8
0.03340998450127194
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
0.27928540465583945
0.3766152432612425
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch31.0ms (0.2%)

Memory
-17.8MiB live, 23.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
31.0ms
1.8103844036942972e+61
1.0266917118580993e+62
Samples
27.0ms96×0valid
Compiler

Compiled 112 to 64 computations (42.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-sin: 3.0ms (61.1% of total)
ival-exp: 1.0ms (20.4% of total)
ival-mult: 1.0ms (20.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify51.0ms (0.3%)

Memory
6.0MiB live, 44.4MiB allocated
Algorithm
egg-herbie
Rules
96×*-commutative_binary64
26×+-commutative_binary64
20×sub-neg_binary64
14×neg-sub0_binary64
14×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02522018
13092018
23322018
33492018
43612018
53652018
63662018
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (exp.f64 re) (sin.f64 im))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (*.f64 (exp.f64 re) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))))))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 432778879906337/4327788799063369698118367518036104040602397294887907509272254128346512609744690048814426160231687683233172643784762398137404191207445999921156415311568401014033503715319849649510248592805285405106374515984066055406780647774220793764564147394699562815402300054714269682368512 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (*.f64 #s(approx (exp re) (+.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) re)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (*.f64 (exp.f64 re) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))))))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 432778879906337/4327788799063369698118367518036104040602397294887907509272254128346512609744690048814426160231687683233172643784762398137404191207445999921156415311568401014033503715319849649510248592805285405106374515984066055406780647774220793764564147394699562815402300054714269682368512 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (*.f64 (exp.f64 re) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))))))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 432778879906337/4327788799063369698118367518036104040602397294887907509272254128346512609744690048814426160231687683233172643784762398137404191207445999921156415311568401014033503715319849649510248592805285405106374515984066055406780647774220793764564147394699562815402300054714269682368512 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 432778879906337/4327788799063369698118367518036104040602397294887907509272254128346512609744690048814426160231687683233172643784762398137404191207445999921156415311568401014033503715319849649510248592805285405106374515984066055406780647774220793764564147394699562815402300054714269682368512 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 432778879906337/4327788799063369698118367518036104040602397294887907509272254128346512609744690048814426160231687683233172643784762398137404191207445999921156415311568401014033503715319849649510248592805285405106374515984066055406780647774220793764564147394699562815402300054714269682368512 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 466240534134175/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))))))
(if (<=.f64 re #s(literal -550000000000000000000 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (fma.f64 re (fma.f64 (/.f64 #s(literal 1 binary64) im) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 (/.f64 re im) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) im)))))) (if (<=.f64 re #s(literal 7737125245533627/4835703278458516698824704 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) (if (<=.f64 re #s(literal 5000000000000000009578375428673343681079775636325960055764017572996896621019943779806180725540901617664 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))))) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))))))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 3511119404027961/175555970201398037864189960037990696642380564349834626243584063630598316216309534309285622385163609395625111210811907575838661883607828732903171318983861449587663958422720200465138886329341888788528401320395513446131006525725061407689368272012526598792334483090416306874948482361796597953940777665648656384 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (fma.f64 re (fma.f64 (/.f64 #s(literal 1 binary64) im) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 (/.f64 re im) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) im)))))) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* re 1/6)) (- 1/4 (* 1/36 (* re re)))) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) re)) re))) #s(literal 1 binary64)) #s(literal 1 binary64)))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 3511119404027961/175555970201398037864189960037990696642380564349834626243584063630598316216309534309285622385163609395625111210811907575838661883607828732903171318983861449587663958422720200465138886329341888788528401320395513446131006525725061407689368272012526598792334483090416306874948482361796597953940777665648656384 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (fma.f64 re (*.f64 (/.f64 #s(literal 1 binary64) im) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) im)))))) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* re 1/6)) (- 1/4 (* 1/36 (* re re)))) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) re)) re))) #s(literal 1 binary64)) #s(literal 1 binary64)))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 3511119404027961/175555970201398037864189960037990696642380564349834626243584063630598316216309534309285622385163609395625111210811907575838661883607828732903171318983861449587663958422720200465138886329341888788528401320395513446131006525725061407689368272012526598792334483090416306874948482361796597953940777665648656384 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (fma.f64 re (*.f64 (/.f64 #s(literal 1 binary64) im) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) im)))))) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* re 1/6)) (- 1/4 (* 1/36 (* re re)))) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) re)) re))) #s(literal 1 binary64)) #s(literal 1 binary64)))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 3511119404027961/175555970201398037864189960037990696642380564349834626243584063630598316216309534309285622385163609395625111210811907575838661883607828732903171318983861449587663958422720200465138886329341888788528401320395513446131006525725061407689368272012526598792334483090416306874948482361796597953940777665648656384 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (fma.f64 re (*.f64 (/.f64 #s(literal 1 binary64) im) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) im)))))) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (*.f64 im im) (*.f64 re (*.f64 re (*.f64 im im)))) (-.f64 im (*.f64 re im))))) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im)))))) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im)))))) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) (+ (* im (* im -1/5040)) 1/120)) -1/6) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal -1/5040 binary64))))) #s(literal 1 binary64))))) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im))) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 944473296573929/18889465931478580854784 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 944473296573929/18889465931478580854784 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im im))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 944473296573929/18889465931478580854784 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 5404319552844595/18014398509481984 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
(if (<=.f64 im #s(literal 18500000000000000134097772525339259832541909790869438639112192 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.f64 re im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.f64 re im))))
Outputs
(*.f64 (exp.f64 re) (sin.f64 im))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (*.f64 (exp.f64 re) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))))))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 432778879906337/4327788799063369698118367518036104040602397294887907509272254128346512609744690048814426160231687683233172643784762398137404191207445999921156415311568401014033503715319849649510248592805285405106374515984066055406780647774220793764564147394699562815402300054714269682368512 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (*.f64 #s(approx (exp re) (+.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) re)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (*.f64 (exp.f64 re) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))))))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 (sin.f64 im) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 432778879906337/4327788799063369698118367518036104040602397294887907509272254128346512609744690048814426160231687683233172643784762398137404191207445999921156415311568401014033503715319849649510248592805285405106374515984066055406780647774220793764564147394699562815402300054714269682368512 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (*.f64 (sin.f64 im) #s(approx (exp re) (+.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (*.f64 (exp.f64 re) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))))))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 432778879906337/4327788799063369698118367518036104040602397294887907509272254128346512609744690048814426160231687683233172643784762398137404191207445999921156415311568401014033503715319849649510248592805285405106374515984066055406780647774220793764564147394699562815402300054714269682368512 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (*.f64 (exp.f64 re) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))))))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 (sin.f64 im) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 432778879906337/4327788799063369698118367518036104040602397294887907509272254128346512609744690048814426160231687683233172643784762398137404191207445999921156415311568401014033503715319849649510248592805285405106374515984066055406780647774220793764564147394699562815402300054714269682368512 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (*.f64 (sin.f64 im) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (*.f64 (exp.f64 re) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))))))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 432778879906337/4327788799063369698118367518036104040602397294887907509272254128346512609744690048814426160231687683233172643784762398137404191207445999921156415311568401014033503715319849649510248592805285405106374515984066055406780647774220793764564147394699562815402300054714269682368512 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (*.f64 (exp.f64 re) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))))))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 (sin.f64 im) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 432778879906337/4327788799063369698118367518036104040602397294887907509272254128346512609744690048814426160231687683233172643784762398137404191207445999921156415311568401014033503715319849649510248592805285405106374515984066055406780647774220793764564147394699562815402300054714269682368512 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (*.f64 (sin.f64 im) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 432778879906337/4327788799063369698118367518036104040602397294887907509272254128346512609744690048814426160231687683233172643784762398137404191207445999921156415311568401014033503715319849649510248592805285405106374515984066055406780647774220793764564147394699562815402300054714269682368512 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))))))
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soundness2.5s (14.1%)

Memory
79.3MiB live, 1 950.3MiB allocated
Rules
17 002×lower-fma.f64
17 002×lower-fma.f32
15 566×lower-fma.f64
15 566×lower-fma.f32
13 800×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02682993
18272929
222322882
353212867
082692610
071297
1221286
2586274
31574268
42436268
53110268
63581268
73732268
84021268
95977268
08264246
01772557
15412502
215932430
348132384
088292187
052363
082352
1321297
22466297
08706294
036253
061253
1227250
21680250
08622247
01061649
13281560
28581528
327281498
456851498
573171498
081351378
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 2 480 to 911 computations (63.3% saved)

preprocess207.0ms (1.2%)

Memory
14.0MiB live, 358.1MiB allocated
Remove

(negabs im)

Compiler

Compiled 2 750 to 362 computations (86.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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