math.exp on complex, imaginary part

Time bar (total: 16.6s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB 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)

sample878.0ms (5.3%)

Memory
-12.1MiB live, 1 381.4MiB allocated
Samples
626.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 441.0ms
ival-sin: 197.0ms (44.6% of total)
ival-exp: 185.0ms (41.9% of total)
ival-mult: 51.0ms (11.6% of total)
ival-true: 5.0ms (1.1% of total)
ival-assert: 3.0ms (0.7% of total)
Bogosity

explain77.0ms (0.5%)

Memory
19.8MiB live, 141.6MiB 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
51.0ms512×0valid
Compiler

Compiled 33 to 19 computations (42.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-sin: 31.0ms (81.1% of total)
ival-exp: 4.0ms (10.5% of total)
ival-mult: 3.0ms (7.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess39.0ms (0.2%)

Memory
-3.7MiB live, 35.7MiB 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))
(*.f64 (sin.f64 im) (exp.f64 re))
Symmetry

(negabs im)

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify3.0ms (0%)

Memory
7.7MiB live, 7.7MiB 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))
(*.f64 (sin.f64 im) (exp.f64 re))
(exp.f64 re)
re
(sin.f64 im)
im

localize28.0ms (0.2%)

Memory
-21.9MiB live, 55.7MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(sin.f64 im)
accuracy0
(exp.f64 re)
accuracy0.01171875
(*.f64 (exp.f64 re) (sin.f64 im))
Samples
22.0ms256×0valid
Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-sin: 8.0ms (50.3% of total)
ival-mult: 5.0ms (31.4% of total)
ival-exp: 2.0ms (12.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0%)

Memory
9.7MiB live, 9.7MiB 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))

simplify259.0ms (1.6%)

Memory
5.3MiB live, 199.0MiB 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 (+.f64 #s(literal 1 binary64) re) (sin.f64 im))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) (sin.f64 im))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* im (exp re))
(*.f64 (exp.f64 re) im)
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im) (exp.f64 re))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im) (exp.f64 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))))))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) im)
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 #s(literal 1 binary64) re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #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))))
(*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 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)

rewrite14.0ms (0.1%)

Memory
20.4MiB live, 20.4MiB 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 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(exp.f64 re)
(sin.f64 im)

eval22.0ms (0.1%)

Memory
-30.0MiB live, 7.5MiB allocated
Compiler

Compiled 393 to 40 computations (89.8% saved)

prune8.0ms (0%)

Memory
14.3MiB live, 14.3MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New45651
Fresh000
Picked101
Done000
Total46652
Accuracy
100.0%
Counts
52 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
61.7%
(*.f64 (exp.f64 re) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
67.2%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
63.1%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
48.2%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
64.5%
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
47.2%
#s(approx (* (exp re) (sin im)) (sin.f64 im))
Compiler

Compiled 128 to 80 computations (37.5% saved)

simplify11.0ms (0.1%)

Memory
14.2MiB live, 14.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
cost-diff0
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
cost-diff0
(sin.f64 im)
cost-diff0
(+.f64 #s(literal 1 binary64) re)
cost-diff0
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
cost-diff0
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
cost-diff0
(exp.f64 re)
cost-diff0
(*.f64 (exp.f64 re) im)
cost-diff0
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
cost-diff0
(sin.f64 im)
cost-diff0
#s(approx (* (exp re) (sin im)) (sin.f64 im))
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
cost-diff0
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
cost-diff0
#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
Rules
448×lower-fma.f32
438×lower-fma.f64
182×lower-*.f32
174×lower-*.f64
128×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025149
043149
161149
281149
3148149
4258149
5312149
6329149
0329149
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
re
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(sin.f64 im)
im
#s(approx (* (exp re) (sin im)) (sin.f64 im))
(sin.f64 im)
im
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
(*.f64 (exp.f64 re) im)
(exp.f64 re)
re
im
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) re)
#s(literal 1 binary64)
re
(sin.f64 im)
im
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
#s(literal 1/2 binary64)
re
#s(literal 1 binary64)
(sin.f64 im)
im
Outputs
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
(*.f64 (sin.f64 im) #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
re
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(sin.f64 im)
im
#s(approx (* (exp re) (sin im)) (sin.f64 im))
(sin.f64 im)
im
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))
(*.f64 (exp.f64 re) im)
(*.f64 im (exp.f64 re))
(exp.f64 re)
re
im
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) re)
#s(literal 1 binary64)
re
(sin.f64 im)
im
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
#s(literal 1/2 binary64)
re
#s(literal 1 binary64)
(sin.f64 im)
im

localize108.0ms (0.7%)

Memory
-9.9MiB live, 160.0MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0
(sin.f64 im)
accuracy0.00390625
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
accuracy0.01171875
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
accuracy23.58161667397866
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
accuracy0
(+.f64 #s(literal 1 binary64) re)
accuracy0
(sin.f64 im)
accuracy0.01171875
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
accuracy33.11380730686094
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
accuracy0
(exp.f64 re)
accuracy0.015625
(*.f64 (exp.f64 re) im)
accuracy22.68438042701519
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
accuracy0
(sin.f64 im)
accuracy33.801974093337186
#s(approx (* (exp re) (sin im)) (sin.f64 im))
accuracy0.04296875
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
accuracy0.0703125
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
accuracy0.19140625
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
accuracy20.936454211973235
#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
Samples
55.0ms256×0valid
Compiler

Compiled 106 to 22 computations (79.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-mult: 20.0ms (51.3% of total)
ival-add: 7.0ms (18% of total)
ival-sin: 6.0ms (15.4% of total)
const: 3.0ms (7.7% of total)
ival-exp: 2.0ms (5.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series51.0ms (0.3%)

Memory
-16.1MiB live, 21.1MiB allocated
Counts
17 → 276
Calls
Call 1
Inputs
#s(alt (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())
#s(alt #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) #<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 #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (patch #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) #<representation binary64>) () ())
#s(alt (*.f64 (exp.f64 re) im) (patch (*.f64 (exp.f64 re) im) #<representation binary64>) () ())
#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) #<representation binary64>) () ())
#s(alt #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (patch #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) re) (patch (+.f64 #s(literal 1 binary64) re) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())
#s(alt #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (sin im) (taylor 0 re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #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 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #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 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #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 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #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 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #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 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #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 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #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 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #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 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #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 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #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 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #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 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #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 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #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 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #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 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ())
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#s(alt (exp re) (taylor -inf re) (#s(alt #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp re) (taylor -inf re) (#s(alt #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp re) (taylor -inf re) (#s(alt #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 re) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 re) (taylor 0 re) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* re (+ 1 (* 1/2 re)))) (taylor 0 re) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* re (+ 1 (* 1/2 re)))) (taylor 0 re) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow re 2)) (taylor inf re) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow re 2) (+ 1/2 (/ 1 re))) (taylor inf re) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) (taylor inf re) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) (taylor inf re) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow re 2)) (taylor -inf re) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow re 2) (+ 1/2 (/ 1 re))) (taylor -inf re) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) (taylor -inf re) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) (taylor -inf re) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 re) (#s(alt (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 re)) (taylor 0 re) (#s(alt (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 re)) (taylor 0 re) (#s(alt (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 re)) (taylor 0 re) (#s(alt (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 re) (taylor inf re) (#s(alt (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1/2 (/ 1 re))) (taylor inf re) (#s(alt (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1/2 (/ 1 re))) (taylor inf re) (#s(alt (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1/2 (/ 1 re))) (taylor inf re) (#s(alt (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 re) (taylor -inf re) (#s(alt (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1/2 (/ 1 re))) (taylor -inf re) (#s(alt (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1/2 (/ 1 re))) (taylor -inf re) (#s(alt (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1/2 (/ 1 re))) (taylor -inf re) (#s(alt (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 re) (#s(alt (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 re)) (taylor 0 re) (#s(alt (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 re)) (taylor 0 re) (#s(alt (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 re)) (taylor 0 re) (#s(alt (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 re) (taylor inf re) (#s(alt (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1/6 (* 1/2 (/ 1 re)))) (taylor inf re) (#s(alt (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1/6 (* 1/2 (/ 1 re)))) (taylor inf re) (#s(alt (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1/6 (* 1/2 (/ 1 re)))) (taylor inf re) (#s(alt (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 re) (taylor -inf re) (#s(alt (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1/6 (* 1/2 (/ 1 re)))) (taylor -inf re) (#s(alt (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1/6 (* 1/2 (/ 1 re)))) (taylor -inf re) (#s(alt (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1/6 (* 1/2 (/ 1 re)))) (taylor -inf re) (#s(alt (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
Calls

69 calls:

TimeVariablePointExpression
39.0ms
im
@inf
(* (exp re) im)
1.0ms
re
@-inf
(+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1)
0.0ms
re
@inf
(+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1)
0.0ms
im
@0
(* (exp re) im)
0.0ms
re
@-inf
(* (exp re) im)

simplify197.0ms (1.2%)

Memory
7.7MiB live, 242.4MiB allocated
Algorithm
egg-herbie
Rules
18 716×lower-fma.f64
18 716×lower-fma.f32
5 338×lower-*.f64
5 338×lower-*.f32
2 524×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01251727
14061664
211181618
339361588
472751588
080411437
Stop Event
iter limit
node limit
Counts
276 → 272
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
(* 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))
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 (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))
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))
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)))
1/2
(+ 1/2 (* 1/6 re))
(+ 1/2 (* 1/6 re))
(+ 1/2 (* 1/6 re))
(* 1/6 re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* 1/6 re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
Outputs
(sin im)
(sin.f64 im)
(+ (sin im) (* re (sin im)))
(*.f64 (+.f64 #s(literal 1 binary64) re) (sin.f64 im))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) (sin.f64 im))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(*.f64 (sin.f64 im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* im (exp re))
(*.f64 (exp.f64 re) im)
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im) (exp.f64 re))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(*.f64 (*.f64 (exp.f64 re) im) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #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 (*.f64 (exp.f64 re) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64))) im)
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 #s(literal 1 binary64) re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 #s(literal 1 binary64) re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(* 1/6 (pow re 3))
(*.f64 (*.f64 (*.f64 re re) #s(literal 1/6 binary64)) re)
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re)
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re re)
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(* 1/6 (pow re 3))
(*.f64 (*.f64 (*.f64 re re) #s(literal 1/6 binary64)) re)
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re)
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re re)
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 re))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
(* 1/6 (pow re 2))
(*.f64 (*.f64 re re) #s(literal 1/6 binary64))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re)
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
(* 1/6 (pow re 2))
(*.f64 (*.f64 re re) #s(literal 1/6 binary64))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re)
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
(sin im)
(sin.f64 im)
(+ (sin im) (* re (sin im)))
(*.f64 (+.f64 #s(literal 1 binary64) re) (sin.f64 im))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) (sin.f64 im))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(*.f64 (sin.f64 im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* im (exp re))
(*.f64 (exp.f64 re) im)
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im) (exp.f64 re))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(*.f64 (*.f64 (exp.f64 re) im) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #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 (*.f64 (exp.f64 re) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64))) im)
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
im
(* im (+ 1 (* -1/6 (pow im 2))))
(*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 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)
(sin im)
(sin.f64 im)
(+ (sin im) (* re (sin im)))
(*.f64 (+.f64 #s(literal 1 binary64) re) (sin.f64 im))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) (sin.f64 im))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(*.f64 (sin.f64 im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* im (exp re))
(*.f64 (exp.f64 re) im)
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im) (exp.f64 re))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(*.f64 (*.f64 (exp.f64 re) im) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #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 (*.f64 (exp.f64 re) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64))) im)
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
im
(+ im (* im re))
(fma.f64 re im im)
(+ im (* re (+ im (* 1/2 (* im re)))))
(fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
(fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im)
(* im (exp re))
(*.f64 (exp.f64 re) im)
(* im (exp re))
(*.f64 (exp.f64 re) im)
(* im (exp re))
(*.f64 (exp.f64 re) im)
(* im (exp re))
(*.f64 (exp.f64 re) im)
(* im (exp re))
(*.f64 (exp.f64 re) im)
(* im (exp re))
(*.f64 (exp.f64 re) im)
(* im (exp re))
(*.f64 (exp.f64 re) im)
(* im (exp re))
(*.f64 (exp.f64 re) im)
(* im (exp re))
(*.f64 (exp.f64 re) im)
(* im (exp re))
(*.f64 (exp.f64 re) im)
(* im (exp re))
(*.f64 (exp.f64 re) im)
(* im (exp re))
(*.f64 (exp.f64 re) im)
(* im (exp re))
(*.f64 (exp.f64 re) im)
(* im (exp re))
(*.f64 (exp.f64 re) im)
(* im (exp re))
(*.f64 (exp.f64 re) im)
(* im (exp re))
(*.f64 (exp.f64 re) im)
(* im (exp re))
(*.f64 (exp.f64 re) im)
(* im (exp re))
(*.f64 (exp.f64 re) im)
(* im (exp re))
(*.f64 (exp.f64 re) im)
(* im (exp re))
(*.f64 (exp.f64 re) im)
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 #s(literal 1 binary64) re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #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 (+.f64 #s(literal 1 binary64) re) (sin.f64 im))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) (sin.f64 im))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(*.f64 (sin.f64 im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* im (exp re))
(*.f64 (exp.f64 re) im)
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im) (exp.f64 re))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(*.f64 (*.f64 (exp.f64 re) im) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #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 (*.f64 (exp.f64 re) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64))) im)
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 #s(literal 1 binary64) re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 #s(literal 1 binary64) re)
(+ 1 re)
(+.f64 #s(literal 1 binary64) re)
(+ 1 re)
(+.f64 #s(literal 1 binary64) re)
re
(* re (+ 1 (/ 1 re)))
(+.f64 #s(literal 1 binary64) re)
(* re (+ 1 (/ 1 re)))
(+.f64 #s(literal 1 binary64) re)
(* re (+ 1 (/ 1 re)))
(+.f64 #s(literal 1 binary64) re)
re
(* re (+ 1 (/ 1 re)))
(+.f64 #s(literal 1 binary64) re)
(* re (+ 1 (/ 1 re)))
(+.f64 #s(literal 1 binary64) re)
(* re (+ 1 (/ 1 re)))
(+.f64 #s(literal 1 binary64) re)
(sin im)
(sin.f64 im)
(+ (sin im) (* re (sin im)))
(*.f64 (+.f64 #s(literal 1 binary64) re) (sin.f64 im))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) (sin.f64 im))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(*.f64 (sin.f64 im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* im (exp re))
(*.f64 (exp.f64 re) im)
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im) (exp.f64 re))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(*.f64 (*.f64 (exp.f64 re) im) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #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 (*.f64 (exp.f64 re) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64))) im)
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 #s(literal 1 binary64) re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 #s(literal 1 binary64) re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(* 1/2 (pow re 2))
(*.f64 (*.f64 re re) #s(literal 1/2 binary64))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re)
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(* 1/2 (pow re 2))
(*.f64 (*.f64 re re) #s(literal 1/2 binary64))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re)
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 re))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
(+ 1 (* 1/2 re))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
(+ 1 (* 1/2 re))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
(* 1/2 re)
(*.f64 #s(literal 1/2 binary64) re)
(* re (+ 1/2 (/ 1 re)))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
(* re (+ 1/2 (/ 1 re)))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
(* re (+ 1/2 (/ 1 re)))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
(* 1/2 re)
(*.f64 #s(literal 1/2 binary64) re)
(* re (+ 1/2 (/ 1 re)))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
(* re (+ 1/2 (/ 1 re)))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
(* re (+ 1/2 (/ 1 re)))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 re))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 re))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 re))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(* 1/6 re)
(*.f64 #s(literal 1/6 binary64) re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(* 1/6 re)
(*.f64 #s(literal 1/6 binary64) re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))

rewrite195.0ms (1.2%)

Memory
38.1MiB live, 256.7MiB allocated
Rules
9 020×lower-fma.f32
9 010×lower-fma.f64
5 550×lower-*.f32
5 542×lower-*.f64
4 176×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025128
043128
1128128
2826128
08345128
Stop Event
iter limit
node limit
iter limit
Counts
17 → 426
Calls
Call 1
Inputs
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
(sin.f64 im)
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
(*.f64 (exp.f64 re) im)
(exp.f64 re)
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) re)
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
Outputs
(*.f64 (sin.f64 im) #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) re) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re))))
(*.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal -1 binary64)))))
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re)) re #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) re) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re))))))
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal -1 binary64))))
(*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re)) re #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal -1 binary64))))))
(*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re)) re #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) re) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re)))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal -1 binary64)))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) re) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) re) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal -1 binary64)))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal -1 binary64)))) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) re) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) re) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) re) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) re) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re))))) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) re) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 9 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) re) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re))))) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re)) re)))
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(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 re re)) re #s(literal 1/8 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 re (-.f64 (*.f64 #s(literal 1/36 binary64) re) #s(literal 1/12 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 re re)) re #s(literal 1/8 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) re))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal -1/16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re)) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 re re) (*.f64 re re)) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 re re) #s(literal 1/144 binary64)))) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re)) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 re re)) re #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) re)))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/10077696 binary64) (*.f64 (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re)) (*.f64 (*.f64 re re) re)) #s(literal 1/512 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re)) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 re re) re) #s(literal 1/1728 binary64)))) (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) re)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64))) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 re re)) re #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 re (-.f64 (*.f64 #s(literal 1/36 binary64) re) #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 re re)) re #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) re)))))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))
(/.f64 (fma.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 re re)) re #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 re (-.f64 (*.f64 #s(literal 1/36 binary64) re) #s(literal 1/12 binary64)))))
(/.f64 (fma.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 re re)) re #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) re))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 re (-.f64 (*.f64 #s(literal 1/36 binary64) re) #s(literal 1/12 binary64)))) (fma.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 re re)) re #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 re re)) re #s(literal 1/8 binary64))) (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) re)))))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64))))
(neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 re re)) re #s(literal 1/8 binary64)) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) re))))))
(fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))) (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))))
(-.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64))))
(+.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)))))
(+.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))

eval199.0ms (1.2%)

Memory
-17.0MiB live, 225.7MiB allocated
Compiler

Compiled 16 607 to 1 699 computations (89.8% saved)

prune133.0ms (0.8%)

Memory
-0.5MiB live, 226.5MiB allocated
Pruning

20 alts after pruning (15 fresh and 5 done)

PrunedKeptTotal
New71915734
Fresh101
Picked055
Done000
Total72020740
Accuracy
100.0%
Counts
740 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.2%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
35.3%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
63.1%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
33.4%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
37.0%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
48.2%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
26.7%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
28.9%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
64.5%
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
35.1%
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
32.9%
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
24.8%
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) im))
22.0%
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im))
47.2%
#s(approx (* (exp re) (sin im)) (sin.f64 im))
30.0%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
33.7%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im)))
24.8%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
30.0%
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
26.1%
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
26.7%
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
Compiler

Compiled 536 to 289 computations (46.1% saved)

simplify37.0ms (0.2%)

Memory
11.5MiB live, 58.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)
cost-diff0
#s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im))
cost-diff0
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
cost-diff0
(*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)))
cost-diff0
(fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im)
cost-diff0
#s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im))
cost-diff0
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im)))
cost-diff0
(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)
cost-diff0
#s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im))
cost-diff0
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
cost-diff0
#s(approx (exp re) #s(literal 1 binary64))
cost-diff0
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)
cost-diff0
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im))
cost-diff0
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
cost-diff0
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
Rules
1 708×lower-fma.f32
1 692×lower-fma.f64
774×lower-*.f32
762×lower-*.f64
518×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034300
056300
195300
2163300
3418291
4953291
51595291
61769291
71771291
81771291
91781291
01781282
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
#s(literal 1/2 binary64)
re
#s(literal 1 binary64)
#s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im))
(*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)
(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))
(*.f64 im im)
im
#s(literal -1/6 binary64)
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)
#s(approx (exp re) #s(literal 1 binary64))
#s(literal 1 binary64)
im
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im))
(*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)
(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))
(*.f64 im im)
im
#s(literal -1/6 binary64)
#s(literal 1 binary64)
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im)))
#s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im))
(fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im)
(*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)))
im
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
re
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
#s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 im im)
im
#s(literal -1/6 binary64)
#s(literal 1 binary64)
Outputs
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (sin im) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64)) im)) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
#s(literal 1/2 binary64)
re
#s(literal 1 binary64)
#s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im))
#s(approx (sin im) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64)) im))
(*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64)) im)
(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64))
(*.f64 im im)
im
#s(literal -1/6 binary64)
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)
#s(approx (exp re) #s(literal 1 binary64))
#s(literal 1 binary64)
im
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64)) im)))
#s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im))
#s(approx (sin im) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64)) im))
(*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64)) im)
(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64))
(*.f64 im im)
im
#s(literal -1/6 binary64)
#s(literal 1 binary64)
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re im)))
#s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im))
#s(approx (* (exp re) im) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re im))
(fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im)
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re im)
(*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im)
im
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
re
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
#s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 im im)
im
#s(literal -1/6 binary64)
#s(literal 1 binary64)

localize163.0ms (1%)

Memory
-56.4MiB live, 188.3MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.05078125
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64))
accuracy0.0625
(fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64))
accuracy32.25630043651882
#s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im))
accuracy33.801974093337186
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
accuracy0.19140625
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
accuracy4.935471031894837
(*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)))
accuracy20.4532912096855
#s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im))
accuracy22.68438042701519
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im)))
accuracy0.03125
(*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)
accuracy0.10546875
(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))
accuracy32.112384578561866
#s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im))
accuracy33.801974093337186
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
accuracy0.015625
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)
accuracy22.68438042701519
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im))
accuracy33.99008130444136
#s(approx (exp re) #s(literal 1 binary64))
accuracy0.03125
(*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)
accuracy0.10546875
(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))
accuracy23.58161667397866
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
accuracy32.112384578561866
#s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im))
Samples
102.0ms256×0valid
Compiler

Compiled 194 to 33 computations (83% saved)

Precisions
Click to see histograms. Total time spent on operations: 84.0ms
ival-mult: 58.0ms (69.3% of total)
ival-add: 8.0ms (9.6% of total)
const: 8.0ms (9.6% of total)
ival-sin: 6.0ms (7.2% of total)
ival-exp: 2.0ms (2.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series99.0ms (0.6%)

Memory
12.6MiB live, 48.8MiB allocated
Counts
21 → 360
Calls
Call 1
Inputs
#s(alt (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im))) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im))) #<representation binary64>) () ())
#s(alt #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) (patch #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im) (patch (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im) #<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 (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im))) (patch #s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im))) #<representation binary64>) () ())
#s(alt #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)) (patch #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im) (patch (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im))) (patch #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im))) #<representation binary64>) () ())
#s(alt #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im)) (patch #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im) (patch (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im) #<representation binary64>) () ())
#s(alt (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) (patch (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im))) (patch #s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im))) #<representation binary64>) () ())
#s(alt #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)) (patch #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im) (patch (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (sin im) (taylor 0 re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im))) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im))) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (sin im))) (taylor 0 re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im))) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) 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 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im))) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) 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 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im))) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im))) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im))) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im))) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im))) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im))) #<representation binary64>) () ())) ())
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#s(alt 1 (taylor 0 im) (#s(alt (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/6 (pow im 2))) (taylor 0 im) (#s(alt (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))) (taylor 0 im) (#s(alt (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))) (taylor 0 im) (#s(alt (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/120 (pow im 4)) (taylor inf im) (#s(alt (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 4) (- 1/120 (* 1/6 (/ 1 (pow im 2))))) (taylor inf im) (#s(alt (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 4) (- (+ 1/120 (/ 1 (pow im 4))) (* 1/6 (/ 1 (pow im 2))))) (taylor inf im) (#s(alt (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 4) (- (+ 1/120 (/ 1 (pow im 4))) (* 1/6 (/ 1 (pow im 2))))) (taylor inf im) (#s(alt (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/120 (pow im 4)) (taylor -inf im) (#s(alt (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 4) (- 1/120 (* 1/6 (/ 1 (pow im 2))))) (taylor -inf im) (#s(alt (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 4) (- (+ 1/120 (/ 1 (pow im 4))) (* 1/6 (/ 1 (pow im 2))))) (taylor -inf im) (#s(alt (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 4) (- (+ 1/120 (/ 1 (pow im 4))) (* 1/6 (/ 1 (pow im 2))))) (taylor -inf im) (#s(alt (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 re) (#s(alt (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 re)) (taylor 0 re) (#s(alt (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 re)) (taylor 0 re) (#s(alt (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 re)) (taylor 0 re) (#s(alt (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 re) (taylor inf re) (#s(alt (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1/6 (* 1/2 (/ 1 re)))) (taylor inf re) (#s(alt (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1/6 (* 1/2 (/ 1 re)))) (taylor inf re) (#s(alt (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1/6 (* 1/2 (/ 1 re)))) (taylor inf re) (#s(alt (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 re) (taylor -inf re) (#s(alt (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1/6 (* 1/2 (/ 1 re)))) (taylor -inf re) (#s(alt (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1/6 (* 1/2 (/ 1 re)))) (taylor -inf re) (#s(alt (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1/6 (* 1/2 (/ 1 re)))) (taylor -inf re) (#s(alt (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt -1/6 (taylor 0 im) (#s(alt (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/120 (pow im 2)) 1/6) (taylor 0 im) (#s(alt (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/120 (pow im 2)) 1/6) (taylor 0 im) (#s(alt (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/120 (pow im 2)) 1/6) (taylor 0 im) (#s(alt (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/120 (pow im 2)) (taylor inf im) (#s(alt (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 2) (- 1/120 (* 1/6 (/ 1 (pow im 2))))) (taylor inf im) (#s(alt (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 2) (- 1/120 (* 1/6 (/ 1 (pow im 2))))) (taylor inf im) (#s(alt (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 2) (- 1/120 (* 1/6 (/ 1 (pow im 2))))) (taylor inf im) (#s(alt (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/120 (pow im 2)) (taylor -inf im) (#s(alt (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 2) (- 1/120 (* 1/6 (/ 1 (pow im 2))))) (taylor -inf im) (#s(alt (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 2) (- 1/120 (* 1/6 (/ 1 (pow im 2))))) (taylor -inf im) (#s(alt (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 2) (- 1/120 (* 1/6 (/ 1 (pow im 2))))) (taylor -inf im) (#s(alt (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
Calls

90 calls:

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

simplify376.0ms (2.3%)

Memory
15.7MiB live, 286.4MiB allocated
Algorithm
egg-herbie
Rules
19 578×lower-fma.f64
19 578×lower-fma.f32
4 028×lower-*.f64
4 028×lower-*.f32
3 704×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01862774
15822646
218022574
348472542
083702294
Stop Event
iter limit
node limit
Counts
360 → 352
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 (* 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 (* 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 (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))
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)
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
(+ 1 (* -1/6 (pow im 2)))
(+ 1 (* -1/6 (pow im 2)))
(+ 1 (* -1/6 (pow im 2)))
(* -1/6 (pow im 2))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/6))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/6))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/6))
(* -1/6 (pow im 2))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/6))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/6))
(* (pow im 2) (- (/ 1 (pow im 2)) 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))
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 (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 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(* -1 (* im (- (* -1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) 1)))
(* -1 (* im (- (* -1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) 1)))
(* -1 (* im (- (* -1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) 1)))
(* -1 (* im (- (* -1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) 1)))
im
(+ im (* im re))
(+ im (* re (+ im (* 1/2 (* im re)))))
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
(* 1/6 (* im (pow re 3)))
(* (pow re 3) (+ (* 1/6 im) (* 1/2 (/ im re))))
(* (pow re 3) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (/ im (pow re 2)))))
(* (pow re 3) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (+ (/ im (pow re 2)) (/ im (pow re 3))))))
(* 1/6 (* im (pow re 3)))
(* -1 (* (pow re 3) (+ (* -1/2 (/ im re)) (* -1/6 im))))
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* 1/2 im) (/ im re)) re)) (* -1/6 im))))
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 im) (* -1 (/ im re))) re)) (* 1/2 im)) re)) (* -1/6 im))))
(* im (+ 1 (* re (+ 1/2 (* 1/6 re)))))
(* im (+ 1 (* re (+ 1/2 (* 1/6 re)))))
(* im (+ 1 (* re (+ 1/2 (* 1/6 re)))))
(* im (+ 1 (* re (+ 1/2 (* 1/6 re)))))
(* im (+ 1 (* re (+ 1/2 (* 1/6 re)))))
(* im (+ 1 (* re (+ 1/2 (* 1/6 re)))))
(* im (+ 1 (* re (+ 1/2 (* 1/6 re)))))
(* im (+ 1 (* re (+ 1/2 (* 1/6 re)))))
(* im (+ 1 (* re (+ 1/2 (* 1/6 re)))))
(* im (+ 1 (* re (+ 1/2 (* 1/6 re)))))
(* im (+ 1 (* re (+ 1/2 (* 1/6 re)))))
(* im (+ 1 (* re (+ 1/2 (* 1/6 re)))))
im
(+ im (* 1/2 (* im re)))
(+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))
(+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))
(* 1/6 (* im (pow re 2)))
(* (pow re 2) (+ (* 1/6 im) (* 1/2 (/ im re))))
(* (pow re 2) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (/ im (pow re 2)))))
(* (pow re 2) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (/ im (pow re 2)))))
(* 1/6 (* im (pow re 2)))
(* (pow re 2) (+ (* 1/6 im) (* 1/2 (/ im re))))
(* (pow re 2) (+ (* -1 (/ (+ (* -1 (/ im re)) (* -1/2 im)) re)) (* 1/6 im)))
(* (pow re 2) (+ (* -1 (/ (+ (* -1 (/ im re)) (* -1/2 im)) re)) (* 1/6 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))
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) (- (* 1/120 (pow im 2)) 1/6))))
(* 1/120 (pow im 5))
(* (pow im 5) (- 1/120 (* 1/6 (/ 1 (pow im 2)))))
(* (pow im 5) (- (+ 1/120 (/ 1 (pow im 4))) (* 1/6 (/ 1 (pow im 2)))))
(* (pow im 5) (- (+ 1/120 (/ 1 (pow im 4))) (* 1/6 (/ 1 (pow im 2)))))
(* 1/120 (pow im 5))
(* -1 (* (pow im 5) (- (* 1/6 (/ 1 (pow im 2))) 1/120)))
(* -1 (* (pow im 5) (- (* 1/6 (/ 1 (pow im 2))) (+ 1/120 (/ 1 (pow im 4))))))
(* -1 (* (pow im 5) (- (* 1/6 (/ 1 (pow im 2))) (+ 1/120 (/ 1 (pow im 4))))))
1
(+ 1 (* -1/6 (pow im 2)))
(+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6)))
(+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6)))
(* 1/120 (pow im 4))
(* (pow im 4) (- 1/120 (* 1/6 (/ 1 (pow im 2)))))
(* (pow im 4) (- (+ 1/120 (/ 1 (pow im 4))) (* 1/6 (/ 1 (pow im 2)))))
(* (pow im 4) (- (+ 1/120 (/ 1 (pow im 4))) (* 1/6 (/ 1 (pow im 2)))))
(* 1/120 (pow im 4))
(* (pow im 4) (- 1/120 (* 1/6 (/ 1 (pow im 2)))))
(* (pow im 4) (- (+ 1/120 (/ 1 (pow im 4))) (* 1/6 (/ 1 (pow im 2)))))
(* (pow im 4) (- (+ 1/120 (/ 1 (pow im 4))) (* 1/6 (/ 1 (pow im 2)))))
1/2
(+ 1/2 (* 1/6 re))
(+ 1/2 (* 1/6 re))
(+ 1/2 (* 1/6 re))
(* 1/6 re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* 1/6 re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
-1/6
(- (* 1/120 (pow im 2)) 1/6)
(- (* 1/120 (pow im 2)) 1/6)
(- (* 1/120 (pow im 2)) 1/6)
(* 1/120 (pow im 2))
(* (pow im 2) (- 1/120 (* 1/6 (/ 1 (pow im 2)))))
(* (pow im 2) (- 1/120 (* 1/6 (/ 1 (pow im 2)))))
(* (pow im 2) (- 1/120 (* 1/6 (/ 1 (pow im 2)))))
(* 1/120 (pow im 2))
(* (pow im 2) (- 1/120 (* 1/6 (/ 1 (pow im 2)))))
(* (pow im 2) (- 1/120 (* 1/6 (/ 1 (pow im 2)))))
(* (pow im 2) (- 1/120 (* 1/6 (/ 1 (pow im 2)))))
Outputs
(sin im)
(sin.f64 im)
(+ (sin im) (* re (sin im)))
(*.f64 (+.f64 #s(literal 1 binary64) re) (sin.f64 im))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* im (exp re))
(*.f64 (exp.f64 re) im)
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (*.f64 (exp.f64 re) im))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(*.f64 (*.f64 (exp.f64 re) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64))) 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 (fma.f64 (*.f64 (exp.f64 re) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64))) (*.f64 im im) (exp.f64 re)) im)
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 #s(literal 1 binary64) re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 #s(literal 1 binary64) re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(* 1/2 (pow re 2))
(*.f64 (*.f64 re re) #s(literal 1/2 binary64))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(* 1/2 (pow re 2))
(*.f64 (*.f64 re re) #s(literal 1/2 binary64))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 re))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
(+ 1 (* 1/2 re))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
(+ 1 (* 1/2 re))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
(* 1/2 re)
(*.f64 #s(literal 1/2 binary64) re)
(* re (+ 1/2 (/ 1 re)))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
(* re (+ 1/2 (/ 1 re)))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
(* re (+ 1/2 (/ 1 re)))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
(* 1/2 re)
(*.f64 #s(literal 1/2 binary64) re)
(* re (+ 1/2 (/ 1 re)))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
(* re (+ 1/2 (/ 1 re)))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
(* re (+ 1/2 (/ 1 re)))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
(sin im)
(sin.f64 im)
(+ (sin im) (* re (sin im)))
(*.f64 (+.f64 #s(literal 1 binary64) re) (sin.f64 im))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* im (exp re))
(*.f64 (exp.f64 re) im)
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (*.f64 (exp.f64 re) im))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(*.f64 (*.f64 (exp.f64 re) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64))) 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 (fma.f64 (*.f64 (exp.f64 re) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64))) (*.f64 im im) (exp.f64 re)) im)
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
im
(+ im (* im re))
(fma.f64 re im im)
(+ im (* re (+ im (* 1/2 (* im re)))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re im)
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im)
(* im (exp re))
(*.f64 (exp.f64 re) im)
(* im (exp re))
(*.f64 (exp.f64 re) im)
(* im (exp re))
(*.f64 (exp.f64 re) im)
(* im (exp re))
(*.f64 (exp.f64 re) im)
(* im (exp re))
(*.f64 (exp.f64 re) im)
(* im (exp re))
(*.f64 (exp.f64 re) im)
(* im (exp re))
(*.f64 (exp.f64 re) im)
(* im (exp re))
(*.f64 (exp.f64 re) im)
(* im (exp re))
(*.f64 (exp.f64 re) im)
(* im (exp re))
(*.f64 (exp.f64 re) im)
(* im (exp re))
(*.f64 (exp.f64 re) im)
(* im (exp re))
(*.f64 (exp.f64 re) im)
(* im (exp re))
(*.f64 (exp.f64 re) im)
(* im (exp re))
(*.f64 (exp.f64 re) im)
(* im (exp re))
(*.f64 (exp.f64 re) im)
(* im (exp re))
(*.f64 (exp.f64 re) im)
(* im (exp re))
(*.f64 (exp.f64 re) im)
(* im (exp re))
(*.f64 (exp.f64 re) im)
(* im (exp re))
(*.f64 (exp.f64 re) im)
(* im (exp re))
(*.f64 (exp.f64 re) im)
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 #s(literal 1 binary64) re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #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 (+.f64 #s(literal 1 binary64) re) (sin.f64 im))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* im (exp re))
(*.f64 (exp.f64 re) im)
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (*.f64 (exp.f64 re) im))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(*.f64 (*.f64 (exp.f64 re) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64))) 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 (fma.f64 (*.f64 (exp.f64 re) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64))) (*.f64 im im) (exp.f64 re)) im)
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
im
(* im (+ 1 (* -1/6 (pow im 2))))
(*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)
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(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))))
(*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)
(* 1/120 (pow im 5))
(*.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal 1/120 binary64))
(* (pow im 5) (- 1/120 (* 1/6 (/ 1 (pow im 2)))))
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 im im))) (pow.f64 im #s(literal 5 binary64)))
(* (pow im 5) (- (+ 1/120 (/ 1 (pow im 4))) (* 1/6 (/ 1 (pow im 2)))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal 1/120 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 im im))) (pow.f64 im #s(literal 5 binary64)))
(* (pow im 5) (- (+ 1/120 (/ 1 (pow im 4))) (* 1/6 (/ 1 (pow im 2)))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal 1/120 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 im im))) (pow.f64 im #s(literal 5 binary64)))
(* 1/120 (pow im 5))
(*.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal 1/120 binary64))
(* -1 (* (pow im 5) (- (* 1/6 (/ 1 (pow im 2))) 1/120)))
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 im im))) (pow.f64 im #s(literal 5 binary64)))
(* -1 (* (pow im 5) (- (* 1/6 (/ 1 (pow im 2))) (+ 1/120 (/ 1 (pow im 4))))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal 1/120 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 im im))) (pow.f64 im #s(literal 5 binary64)))
(* -1 (* (pow im 5) (- (* 1/6 (/ 1 (pow im 2))) (+ 1/120 (/ 1 (pow im 4))))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal 1/120 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 im im))) (pow.f64 im #s(literal 5 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow im 2)))
(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))
(+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64))
(+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64))
(* 1/120 (pow im 4))
(*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/120 binary64))
(* (pow im 4) (- 1/120 (* 1/6 (/ 1 (pow im 2)))))
(*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 im im))))
(* (pow im 4) (- (+ 1/120 (/ 1 (pow im 4))) (* 1/6 (/ 1 (pow im 2)))))
(fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 im im))) #s(literal 1 binary64))
(* (pow im 4) (- (+ 1/120 (/ 1 (pow im 4))) (* 1/6 (/ 1 (pow im 2)))))
(fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 im im))) #s(literal 1 binary64))
(* 1/120 (pow im 4))
(*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/120 binary64))
(* (pow im 4) (- 1/120 (* 1/6 (/ 1 (pow im 2)))))
(*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 im im))))
(* (pow im 4) (- (+ 1/120 (/ 1 (pow im 4))) (* 1/6 (/ 1 (pow im 2)))))
(fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 im im))) #s(literal 1 binary64))
(* (pow im 4) (- (+ 1/120 (/ 1 (pow im 4))) (* 1/6 (/ 1 (pow im 2)))))
(fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 im im))) #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 re))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 re))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 re))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(* 1/6 re)
(*.f64 #s(literal 1/6 binary64) re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(* 1/6 re)
(*.f64 #s(literal 1/6 binary64) re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
-1/6
#s(literal -1/6 binary64)
(- (* 1/120 (pow im 2)) 1/6)
(fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64))
(- (* 1/120 (pow im 2)) 1/6)
(fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64))
(- (* 1/120 (pow im 2)) 1/6)
(fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64))
(* 1/120 (pow im 2))
(*.f64 #s(literal 1/120 binary64) (*.f64 im im))
(* (pow im 2) (- 1/120 (* 1/6 (/ 1 (pow im 2)))))
(*.f64 (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 im im))) im) im)
(* (pow im 2) (- 1/120 (* 1/6 (/ 1 (pow im 2)))))
(*.f64 (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 im im))) im) im)
(* (pow im 2) (- 1/120 (* 1/6 (/ 1 (pow im 2)))))
(*.f64 (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 im im))) im) im)
(* 1/120 (pow im 2))
(*.f64 #s(literal 1/120 binary64) (*.f64 im im))
(* (pow im 2) (- 1/120 (* 1/6 (/ 1 (pow im 2)))))
(*.f64 (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 im im))) im) im)
(* (pow im 2) (- 1/120 (* 1/6 (/ 1 (pow im 2)))))
(*.f64 (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 im im))) im) im)
(* (pow im 2) (- 1/120 (* 1/6 (/ 1 (pow im 2)))))
(*.f64 (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 im im))) im) im)

rewrite223.0ms (1.3%)

Memory
4.4MiB live, 341.7MiB allocated
Rules
6 760×lower-fma.f32
6 744×lower-fma.f64
4 772×lower-*.f32
4 760×lower-*.f64
4 346×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034240
056240
1189240
21284240
08171240
Stop Event
iter limit
node limit
iter limit
Counts
21 → 430
Calls
Call 1
Inputs
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)
#s(approx (exp re) #s(literal 1 binary64))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im))
(*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)
(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im)))
#s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im))
(fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im)
(*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
#s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64))
Outputs
(*.f64 #s(approx (sin im) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64)) im)) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64)) im)))
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) re) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))))
(*.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal -1 binary64)))))
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) re) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) re) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))))))
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal -1 binary64))))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) re) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) re) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)))))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) re) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) re) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)))))
(*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) re) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) re) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal -1 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) re) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) re) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) re) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) re) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) re) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) re) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) re) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))))))
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(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im)) (*.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im))) #s(literal 1/2985984000000 binary64) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/207360000 binary64) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 (*.f64 im im) (*.f64 im im))) (+.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/518400 binary64)))) (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal 1/6 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im)) (*.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im))) #s(literal 1/2985984000000 binary64) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 im im) im)) (*.f64 (*.f64 im im) im) #s(literal 1/216 binary64)) (fma.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 im im)) (*.f64 im im) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 im im) #s(literal -1/720 binary64))))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im)) (*.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im))) #s(literal 1/2985984000000 binary64)) (*.f64 (*.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 im im) im)) (*.f64 (*.f64 im im) im)) #s(literal -1/10077696 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im)) (*.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im))) #s(literal 1/2985984000000 binary64) (-.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im)) #s(literal -1/373248000 binary64)))) (fma.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 im im)) (*.f64 im im) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 im im) #s(literal -1/720 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 im im)) (*.f64 im im)) (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal 1/6 binary64))) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal 1/6 binary64)) #s(literal 1/36 binary64))) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal 1/6 binary64))))
(/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 im im)) (*.f64 im im))) (-.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 im im))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 im im)) (*.f64 im im) #s(literal -1/36 binary64))) (neg.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 im im) im)) (*.f64 (*.f64 im im) im) #s(literal -1/216 binary64))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 im im)) (*.f64 im im)) (*.f64 (*.f64 im im) #s(literal -1/720 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 im im) im)) (*.f64 (*.f64 im im) im) #s(literal -1/216 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 im im)) (*.f64 im im) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 im im) #s(literal -1/720 binary64))))))
(/.f64 (fma.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 im im)) (*.f64 im im) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal 1/6 binary64)))
(/.f64 (fma.f64 (*.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 im im) im)) (*.f64 (*.f64 im im) im) #s(literal -1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 im im)) (*.f64 im im)) (*.f64 (*.f64 im im) #s(literal -1/720 binary64)))))
(/.f64 (fma.f64 (*.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 im im) im)) (*.f64 (*.f64 im im) im) #s(literal -1/216 binary64)) (fma.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 im im)) (*.f64 im im) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 im im) #s(literal -1/720 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 im im))) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 im im)) (*.f64 im im)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 im im)) (*.f64 im im)) (*.f64 (*.f64 im im) #s(literal -1/720 binary64)))) (fma.f64 (*.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 im im) im)) (*.f64 (*.f64 im im) im) #s(literal -1/216 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64))))
(fma.f64 (*.f64 #s(literal 1/120 binary64) im) im #s(literal -1/6 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 im im)) (*.f64 im im)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal 1/6 binary64))) (neg.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal 1/6 binary64)))))
(fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64))
(fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(fma.f64 im (*.f64 #s(literal 1/120 binary64) im) #s(literal -1/6 binary64))
(-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 im im)))) (/.f64 (*.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 im im)) (*.f64 im im)) (-.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 im im)))))
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 im im)) (*.f64 im im)) (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal 1/6 binary64))))
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 im im)) (*.f64 im im)) (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal 1/6 binary64))) (neg.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal 1/6 binary64)))))
(+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 im im)) #s(literal -1/6 binary64))
(+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 im im)))

eval166.0ms (1%)

Memory
38.1MiB live, 262.5MiB allocated
Compiler

Compiled 23 902 to 1 753 computations (92.7% saved)

prune494.0ms (3%)

Memory
-138.0MiB live, 458.8MiB allocated
Pruning

39 alts after pruning (32 fresh and 7 done)

PrunedKeptTotal
New87622898
Fresh01010
Picked325
Done055
Total87939918
Accuracy
100.0%
Counts
918 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.2%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
35.3%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
63.1%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
33.4%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
48.2%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
26.7%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
28.9%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
18.7%
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
18.4%
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
65.8%
#s(approx (* (exp re) (sin im)) (fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im)))
64.5%
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
35.1%
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
32.9%
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
24.8%
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) im))
22.0%
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im))
47.2%
#s(approx (* (exp re) (sin im)) (sin.f64 im))
33.3%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re im) im) re im)))
30.0%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
25.1%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal -1 binary64)) im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal -1 binary64))) re im)))
33.7%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64))) re im)))
24.3%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 re re) re) #s(literal 1/8 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))) re #s(literal 1 binary64))) re im)))
23.1%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im)))
24.3%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (*.f64 re #s(literal 1/12 binary64)))) (fma.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 re re) re) #s(literal 1/8 binary64)))) re #s(literal 1 binary64))) re im)))
33.7%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im)))
33.2%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) (*.f64 re (fma.f64 (*.f64 #s(literal 1/6 binary64) im) re (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re))))) re im)))
24.8%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
14.7%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re im) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re) im)) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re) im))))
24.3%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re (/.f64 (*.f64 re im) re)))))
15.5%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re))))
15.1%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re))))
16.8%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (*.f64 re re) re) im) #s(literal 1/6 binary64)))))
21.7%
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) im) im) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) im)) im #s(literal -1 binary64)) im) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)))))
26.7%
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64))))))
30.0%
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
26.1%
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
26.7%
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im)))
19.6%
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 #s(approx (+ (* (+ (* 1/120 (* im im)) -1/6) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/120 binary64))) im)))
18.2%
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 #s(approx (+ (* (* im im) -1/6) 1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64))) im)))
18.2%
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (* (+ (* (* im im) -1/6) 1) im) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64)))))
Compiler

Compiled 1 394 to 712 computations (48.9% saved)

simplify73.0ms (0.4%)

Memory
6.0MiB live, 81.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
cost-diff0
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
cost-diff0
#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64)))
cost-diff0
#s(approx (sin im) (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64)))))
cost-diff0
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64))))))
cost-diff1088
(/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64))))
cost-diff0
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re)
cost-diff0
#s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re))
cost-diff0
#s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re)))
cost-diff0
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re))))
cost-diff0
(fma.f64 re im im)
cost-diff0
#s(approx (* (exp re) im) (fma.f64 re im im))
cost-diff0
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
cost-diff0
(sin.f64 im)
cost-diff0
(*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)))
cost-diff0
#s(approx (* (exp re) (sin im)) (fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im)))
cost-diff6400
(fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im))
Rules
2 652×lower-fma.f32
2 636×lower-fma.f64
1 106×lower-*.f32
1 092×lower-*.f64
1 032×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046394
073394
1130388
2240383
3732377
41782377
52775377
63406377
73447377
83448377
93452377
103557377
113572377
03572371
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) (fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im)))
(fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im))
(*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)))
(sin.f64 im)
im
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
re
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (* (exp re) im) (fma.f64 re im im))
(fma.f64 re im im)
re
im
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re))))
#s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re)))
#s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re))
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re)
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re)
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im)
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
re
#s(literal 1/2 binary64)
im
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64))))))
#s(approx (sin im) (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64)))))
(/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64))))
im
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64))
#s(literal -1/6 binary64)
(*.f64 im im)
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
re
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 im im)
im
#s(literal -1/6 binary64)
Outputs
#s(approx (* (exp re) (sin im)) (fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im)))
#s(approx (* (exp re) (sin im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) (sin.f64 im)))
(fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) (sin.f64 im))
(*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) (sin.f64 im))
(sin.f64 im)
im
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
re
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
#s(approx (* (exp re) im) (fma.f64 re im im))
#s(approx (* (exp re) im) (fma.f64 im re im))
(fma.f64 re im im)
(fma.f64 im re im)
re
im
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re) im))))
#s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re)))
#s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re) im)))
#s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re))
#s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re) im))
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re)
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re) im)
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re)
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) im)
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im)
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
re
#s(literal 1/2 binary64)
im
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (sin im) (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64)))))
#s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im))
(/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)
im
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))
#s(literal -1/6 binary64)
(*.f64 im im)
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)) #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
re
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 im im)
im
#s(literal -1/6 binary64)

localize137.0ms (0.8%)

Memory
28.5MiB live, 301.3MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0703125
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
accuracy0.19140625
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
accuracy20.936454211973235
#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
accuracy32.25630043651882
#s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im))
accuracy0.10546875
(fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64))
accuracy0.45191286230726924
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64)))
accuracy32.11238457856184
#s(approx (sin im) (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64)))))
accuracy33.801974093337186
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64))))))
accuracy0.19140625
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
accuracy20.4532912096855
#s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re)))
accuracy22.68438042701519
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re))))
accuracy28.72091023285154
#s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re))
accuracy0
(fma.f64 re im im)
accuracy22.68438042701519
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
accuracy28.831950869048416
#s(approx (* (exp re) im) (fma.f64 re im im))
accuracy0.0703125
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
accuracy0.19140625
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
accuracy4.958908531894837
(*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)))
accuracy22.110929621407237
#s(approx (* (exp re) (sin im)) (fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im)))
Samples
89.0ms256×0valid
Compiler

Compiled 254 to 40 computations (84.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-mult: 30.0ms (48% of total)
ival-add: 12.0ms (19.2% of total)
const: 9.0ms (14.4% of total)
ival-sin: 6.0ms (9.6% of total)
ival-div: 3.0ms (4.8% of total)
ival-exp: 2.0ms (3.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series31.0ms (0.2%)

Memory
-1.8MiB live, 71.0MiB allocated
Counts
22 → 408
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im)) (patch (fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im)) #<representation binary64>) () ())
#s(alt #s(approx (* (exp re) (sin im)) (fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im))) (patch #s(approx (* (exp re) (sin im)) (fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im))) #<representation binary64>) () ())
#s(alt (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) (patch (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (sin.f64 im) (patch (sin.f64 im) #<representation binary64>) () ())
#s(alt #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im))) (patch #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im))) #<representation binary64>) () ())
#s(alt #s(approx (* (exp re) im) (fma.f64 re im im)) (patch #s(approx (* (exp re) im) (fma.f64 re im im)) #<representation binary64>) () ())
#s(alt (fma.f64 re im im) (patch (fma.f64 re im im) #<representation binary64>) () ())
#s(alt #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re)))) (patch #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re)))) #<representation binary64>) () ())
#s(alt #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re))) (patch #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re)) (patch #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re) (patch (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re) #<representation binary64>) () ())
#s(alt (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64)))) (patch (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64)))))) (patch #s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64)))))) #<representation binary64>) () ())
#s(alt #s(approx (sin im) (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64))))) (patch #s(approx (sin im) (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im))) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im))) #<representation binary64>) () ())
#s(alt #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)) (patch #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)) #<representation binary64>) () ())
Outputs
#s(alt (* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (taylor 0 im) (#s(alt (fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im)) (patch (fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* im (+ 1 (+ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (* (pow im 2) (- (* -1/6 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) 1/6))))) (taylor 0 im) (#s(alt (fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im)) (patch (fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* im (+ 1 (+ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (* (pow im 2) (- (+ (* -1/6 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) (* (pow im 2) (+ 1/120 (* 1/120 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))) 1/6))))) (taylor 0 im) (#s(alt (fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im)) (patch (fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* im (+ 1 (+ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (* (pow im 2) (- (+ (* -1/6 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) (* (pow im 2) (+ 1/120 (+ (* 1/120 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) (* (pow im 2) (- (* -1/5040 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) 1/5040)))))) 1/6))))) (taylor 0 im) (#s(alt (fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im)) (patch (fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (* (sin im) (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (taylor inf im) (#s(alt (fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im)) (patch (fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (* (sin im) (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (taylor inf im) (#s(alt (fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im)) (patch (fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (* (sin im) (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (taylor inf im) (#s(alt (fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im)) (patch (fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (* (sin im) (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (taylor inf im) (#s(alt (fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im)) (patch (fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (* (sin im) (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (taylor -inf im) (#s(alt (fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im)) (patch (fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (* (sin im) (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (taylor -inf im) (#s(alt (fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im)) (patch (fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (* (sin im) (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (taylor -inf im) (#s(alt (fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im)) (patch (fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (* (sin im) (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (taylor -inf im) (#s(alt (fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im)) (patch (fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor 0 re) (#s(alt (fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im)) (patch (fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (sin im))) (taylor 0 re) (#s(alt (fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im)) (patch (fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) (taylor 0 re) (#s(alt (fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im)) (patch (fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) 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 (fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im)) (patch (fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (pow re 3) (sin im))) (taylor inf re) (#s(alt (fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im)) (patch (fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (pow re 3) (+ (* 1/6 (sin im)) (* 1/2 (/ (sin im) re)))) (taylor inf re) (#s(alt (fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im)) (patch (fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (pow re 3) (+ (* 1/6 (sin im)) (+ (* 1/2 (/ (sin im) re)) (/ (sin im) (pow re 2))))) (taylor inf re) (#s(alt (fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im)) (patch (fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (pow re 3) (+ (* 1/6 (sin im)) (+ (* 1/2 (/ (sin im) re)) (+ (/ (sin im) (pow re 2)) (/ (sin im) (pow re 3)))))) (taylor inf re) (#s(alt (fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im)) (patch (fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (pow re 3) (sin im))) (taylor -inf re) (#s(alt (fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im)) (patch (fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow re 3) (+ (* -1/2 (/ (sin im) re)) (* -1/6 (sin im))))) (taylor -inf re) (#s(alt (fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im)) (patch (fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow re 3) (+ (* -1 (/ (+ (* 1/2 (sin im)) (/ (sin im) re)) re)) (* -1/6 (sin im))))) (taylor -inf re) (#s(alt (fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im)) (patch (fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow re 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (sin im)) (* -1 (/ (sin im) re))) re)) (* 1/2 (sin im))) re)) (* -1/6 (sin im))))) (taylor -inf re) (#s(alt (fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im)) (patch (fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor 0 re) (#s(alt #s(approx (* (exp re) (sin im)) (fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im))) (patch #s(approx (* (exp re) (sin im)) (fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im))) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (sin im))) (taylor 0 re) (#s(alt #s(approx (* (exp re) (sin im)) (fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im))) (patch #s(approx (* (exp re) (sin im)) (fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im))) #<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)) (fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im))) (patch #s(approx (* (exp re) (sin im)) (fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) 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 #s(approx (* (exp re) (sin im)) (fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im))) (patch #s(approx (* (exp re) (sin im)) (fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf re) (#s(alt #s(approx (* (exp re) (sin im)) (fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im))) (patch #s(approx (* (exp re) (sin im)) (fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im))) #<representation binary64>) () ())) ())
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#s(alt 1 (taylor 0 re) (#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 re)) (taylor 0 re) (#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* re (+ 1/2 (* 1/6 re)))) (taylor 0 re) (#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* re (+ 1/2 (* 1/6 re)))) (taylor 0 re) (#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow re 2)) (taylor inf re) (#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re)))) (taylor inf re) (#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) (taylor inf re) (#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) (taylor inf re) (#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow re 2)) (taylor -inf re) (#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re)))) (taylor -inf re) (#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) (taylor -inf re) (#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) (taylor -inf re) (#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 re) (#s(alt (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 re)) (taylor 0 re) (#s(alt (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 re)) (taylor 0 re) (#s(alt (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 re)) (taylor 0 re) (#s(alt (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 re) (taylor inf re) (#s(alt (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1/6 (* 1/2 (/ 1 re)))) (taylor inf re) (#s(alt (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1/6 (* 1/2 (/ 1 re)))) (taylor inf re) (#s(alt (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1/6 (* 1/2 (/ 1 re)))) (taylor inf re) (#s(alt (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 re) (taylor -inf re) (#s(alt (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1/6 (* 1/2 (/ 1 re)))) (taylor -inf re) (#s(alt (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1/6 (* 1/2 (/ 1 re)))) (taylor -inf re) (#s(alt (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1/6 (* 1/2 (/ 1 re)))) (taylor -inf re) (#s(alt (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 im) (#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/6 (pow im 2))) (taylor 0 im) (#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/6 (pow im 2))) (taylor 0 im) (#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/6 (pow im 2))) (taylor 0 im) (#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow im 2)) (taylor inf im) (#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 2) (- (/ 1 (pow im 2)) 1/6)) (taylor inf im) (#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 2) (- (/ 1 (pow im 2)) 1/6)) (taylor inf im) (#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 2) (- (/ 1 (pow im 2)) 1/6)) (taylor inf im) (#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow im 2)) (taylor -inf im) (#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 2) (- (/ 1 (pow im 2)) 1/6)) (taylor -inf im) (#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 2) (- (/ 1 (pow im 2)) 1/6)) (taylor -inf im) (#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 2) (- (/ 1 (pow im 2)) 1/6)) (taylor -inf im) (#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt im (taylor 0 im) (#s(alt #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)) (patch #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)) #<representation binary64>) () ())) ())
#s(alt (* im (+ 1 (* -1/6 (pow im 2)))) (taylor 0 im) (#s(alt #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)) (patch #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) 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) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)) (patch #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) 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) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)) (patch #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor inf im) (#s(alt #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)) (patch #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor inf im) (#s(alt #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)) (patch #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor inf im) (#s(alt #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)) (patch #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor inf im) (#s(alt #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)) (patch #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor -inf im) (#s(alt #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)) (patch #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor -inf im) (#s(alt #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)) (patch #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor -inf im) (#s(alt #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)) (patch #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor -inf im) (#s(alt #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)) (patch #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)) #<representation binary64>) () ())) ())
Calls

102 calls:

TimeVariablePointExpression
5.0ms
re
@inf
(+ (* (* (sin im) (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) (sin im))
1.0ms
im
@0
(* (* (* (+ (* 1/6 re) 1/2) im) re) re)
1.0ms
im
@0
(+ (* (* (sin im) (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) (sin im))
1.0ms
im
@inf
(+ (* (* (sin im) (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) (sin im))
1.0ms
im
@-inf
(+ (* (* (sin im) (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) (sin im))

simplify298.0ms (1.8%)

Memory
-2.3MiB live, 245.9MiB allocated
Algorithm
egg-herbie
Rules
20 212×lower-fma.f64
20 212×lower-fma.f32
5 368×lower-+.f64
5 368×lower-+.f32
5 004×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03253652
110693518
237193387
081613057
Stop Event
iter limit
node limit
Counts
408 → 400
Calls
Call 1
Inputs
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(* im (+ 1 (+ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (* (pow im 2) (- (* -1/6 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) 1/6)))))
(* im (+ 1 (+ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (* (pow im 2) (- (+ (* -1/6 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) (* (pow im 2) (+ 1/120 (* 1/120 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))) 1/6)))))
(* im (+ 1 (+ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (* (pow im 2) (- (+ (* -1/6 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) (* (pow im 2) (+ 1/120 (+ (* 1/120 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) (* (pow im 2) (- (* -1/5040 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) 1/5040)))))) 1/6)))))
(+ (sin im) (* re (* (sin im) (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(+ (sin im) (* re (* (sin im) (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(+ (sin im) (* re (* (sin im) (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(+ (sin im) (* re (* (sin im) (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(+ (sin im) (* re (* (sin im) (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(+ (sin im) (* re (* (sin im) (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(+ (sin im) (* re (* (sin im) (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(+ (sin im) (* re (* (sin im) (+ 1 (* re (+ 1/2 (* 1/6 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)))))))
(* 1/6 (* (pow re 3) (sin im)))
(* (pow re 3) (+ (* 1/6 (sin im)) (* 1/2 (/ (sin im) re))))
(* (pow re 3) (+ (* 1/6 (sin im)) (+ (* 1/2 (/ (sin im) re)) (/ (sin im) (pow re 2)))))
(* (pow re 3) (+ (* 1/6 (sin im)) (+ (* 1/2 (/ (sin im) re)) (+ (/ (sin im) (pow re 2)) (/ (sin im) (pow re 3))))))
(* 1/6 (* (pow re 3) (sin im)))
(* -1 (* (pow re 3) (+ (* -1/2 (/ (sin im) re)) (* -1/6 (sin im)))))
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* 1/2 (sin im)) (/ (sin im) re)) re)) (* -1/6 (sin im)))))
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (sin im)) (* -1 (/ (sin im) re))) re)) (* 1/2 (sin im))) re)) (* -1/6 (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))
(* im (+ 1 (* re (+ 1/2 (* 1/6 re)))))
(* im (+ 1 (+ (* -1/6 (* (pow im 2) (+ 1 (* re (+ 1/2 (* 1/6 re)))))) (* re (+ 1/2 (* 1/6 re))))))
(* im (+ 1 (+ (* re (+ 1/2 (* 1/6 re))) (* (pow im 2) (+ (* -1/6 (+ 1 (* re (+ 1/2 (* 1/6 re))))) (* 1/120 (* (pow im 2) (+ 1 (* re (+ 1/2 (* 1/6 re)))))))))))
(* im (+ 1 (+ (* re (+ 1/2 (* 1/6 re))) (* (pow im 2) (+ (* -1/6 (+ 1 (* re (+ 1/2 (* 1/6 re))))) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (+ 1 (* re (+ 1/2 (* 1/6 re)))))) (* 1/120 (+ 1 (* re (+ 1/2 (* 1/6 re))))))))))))
(* (sin im) (+ 1 (* re (+ 1/2 (* 1/6 re)))))
(* (sin im) (+ 1 (* re (+ 1/2 (* 1/6 re)))))
(* (sin im) (+ 1 (* re (+ 1/2 (* 1/6 re)))))
(* (sin im) (+ 1 (* re (+ 1/2 (* 1/6 re)))))
(* (sin im) (+ 1 (* re (+ 1/2 (* 1/6 re)))))
(* (sin im) (+ 1 (* re (+ 1/2 (* 1/6 re)))))
(* (sin im) (+ 1 (* re (+ 1/2 (* 1/6 re)))))
(* (sin im) (+ 1 (* re (+ 1/2 (* 1/6 re)))))
(sin im)
(+ (sin im) (* 1/2 (* re (sin im))))
(+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))
(+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))
(* 1/6 (* (pow re 2) (sin im)))
(* (pow re 2) (+ (* 1/6 (sin im)) (* 1/2 (/ (sin im) re))))
(* (pow re 2) (+ (* 1/6 (sin im)) (+ (* 1/2 (/ (sin im) re)) (/ (sin im) (pow re 2)))))
(* (pow re 2) (+ (* 1/6 (sin im)) (+ (* 1/2 (/ (sin im) re)) (/ (sin im) (pow re 2)))))
(* 1/6 (* (pow re 2) (sin im)))
(* (pow re 2) (+ (* 1/6 (sin im)) (* 1/2 (/ (sin im) re))))
(* (pow re 2) (+ (* -1 (/ (+ (* -1 (/ (sin im) re)) (* -1/2 (sin im))) re)) (* 1/6 (sin im))))
(* (pow re 2) (+ (* -1 (/ (+ (* -1 (/ (sin im) re)) (* -1/2 (sin im))) re)) (* 1/6 (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))
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 (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 (* 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)))))
(* 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)))
(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 (* 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 (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 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(* -1 (* im (- (* -1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) 1)))
(* -1 (* im (- (* -1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) 1)))
(* -1 (* im (- (* -1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) 1)))
(* -1 (* im (- (* -1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) 1)))
im
(+ im (* im re))
(+ im (* re (+ im (* 1/2 (* im re)))))
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
(* 1/6 (* im (pow re 3)))
(* (pow re 3) (+ (* 1/6 im) (* 1/2 (/ im re))))
(* (pow re 3) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (/ im (pow re 2)))))
(* (pow re 3) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (+ (/ im (pow re 2)) (/ im (pow re 3))))))
(* 1/6 (* im (pow re 3)))
(* -1 (* (pow re 3) (+ (* -1/2 (/ im re)) (* -1/6 im))))
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* 1/2 im) (/ im re)) re)) (* -1/6 im))))
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 im) (* -1 (/ im re))) re)) (* 1/2 im)) re)) (* -1/6 im))))
(* 1/2 (* im (pow re 2)))
(* (pow re 2) (+ (* 1/6 (* im re)) (* 1/2 im)))
(* (pow re 2) (+ (* 1/6 (* im re)) (* 1/2 im)))
(* (pow re 2) (+ (* 1/6 (* im re)) (* 1/2 im)))
(* 1/6 (* im (pow re 3)))
(* (pow re 3) (+ (* 1/6 im) (* 1/2 (/ im re))))
(* (pow re 3) (+ (* 1/6 im) (* 1/2 (/ im re))))
(* (pow re 3) (+ (* 1/6 im) (* 1/2 (/ im re))))
(* 1/6 (* im (pow re 3)))
(* -1 (* (pow re 3) (+ (* -1/2 (/ im re)) (* -1/6 im))))
(* -1 (* (pow re 3) (+ (* -1/2 (/ im re)) (* -1/6 im))))
(* -1 (* (pow re 3) (+ (* -1/2 (/ im re)) (* -1/6 im))))
(* im (* (pow re 2) (+ 1/2 (* 1/6 re))))
(* im (* (pow re 2) (+ 1/2 (* 1/6 re))))
(* im (* (pow re 2) (+ 1/2 (* 1/6 re))))
(* im (* (pow re 2) (+ 1/2 (* 1/6 re))))
(* im (* (pow re 2) (+ 1/2 (* 1/6 re))))
(* im (* (pow re 2) (+ 1/2 (* 1/6 re))))
(* im (* (pow re 2) (+ 1/2 (* 1/6 re))))
(* im (* (pow re 2) (+ 1/2 (* 1/6 re))))
(* im (* (pow re 2) (+ 1/2 (* 1/6 re))))
(* im (* (pow re 2) (+ 1/2 (* 1/6 re))))
(* im (* (pow re 2) (+ 1/2 (* 1/6 re))))
(* im (* (pow re 2) (+ 1/2 (* 1/6 re))))
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)))))
(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)
1
(+ 1 (* 1/6 (pow im 2)))
(+ 1 (* (pow im 2) (+ 1/6 (* 1/36 (pow im 2)))))
(+ 1 (* (pow im 2) (+ 1/6 (* (pow im 2) (+ 1/36 (* 1/216 (pow im 2)))))))
(/ -6 (pow im 2))
(* -1 (/ (+ 6 (* 36 (/ 1 (pow im 2)))) (pow im 2)))
(/ (- (* -1 (/ (+ 36 (* 216 (/ 1 (pow im 2)))) (pow im 2))) 6) (pow im 2))
(/ (- (* -1 (/ (+ 216 (* 1296 (/ 1 (pow im 2)))) (pow im 4))) (+ 6 (* 36 (/ 1 (pow im 2))))) (pow im 2))
(/ -6 (pow im 2))
(* -1 (/ (+ 6 (* 36 (/ 1 (pow im 2)))) (pow im 2)))
(/ (- (* -1 (/ (+ 36 (* 216 (/ 1 (pow im 2)))) (pow im 2))) 6) (pow im 2))
(/ (- (* -1 (/ (+ 216 (* 1296 (/ 1 (pow im 2)))) (pow im 4))) (+ 6 (* 36 (/ 1 (pow im 2))))) (pow im 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))
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))
1
(+ 1 (* 1/2 re))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
(* 1/6 (pow re 2))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* 1/6 (pow re 2))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
1/2
(+ 1/2 (* 1/6 re))
(+ 1/2 (* 1/6 re))
(+ 1/2 (* 1/6 re))
(* 1/6 re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* 1/6 re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
1
(+ 1 (* -1/6 (pow im 2)))
(+ 1 (* -1/6 (pow im 2)))
(+ 1 (* -1/6 (pow im 2)))
(* -1/6 (pow im 2))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/6))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/6))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/6))
(* -1/6 (pow im 2))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/6))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/6))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/6))
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
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im)
(* im (+ 1 (+ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (* (pow im 2) (- (* -1/6 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) 1/6)))))
(*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) #s(literal -1/6 binary64)) im) im (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)
(* im (+ 1 (+ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (* (pow im 2) (- (+ (* -1/6 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) (* (pow im 2) (+ 1/120 (* 1/120 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))) 1/6)))))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) im) im (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) #s(literal -1/6 binary64))) (*.f64 im im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)
(* im (+ 1 (+ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (* (pow im 2) (- (+ (* -1/6 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) (* (pow im 2) (+ 1/120 (+ (* 1/120 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) (* (pow im 2) (- (* -1/5040 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) 1/5040)))))) 1/6)))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) #s(literal -1/5040 binary64)) im) im (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) #s(literal 1/120 binary64))) (*.f64 im im) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) #s(literal -1/6 binary64))) (*.f64 im im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)
(+ (sin im) (* re (* (sin im) (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(*.f64 (sin.f64 im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(+ (sin im) (* re (* (sin im) (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(*.f64 (sin.f64 im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(+ (sin im) (* re (* (sin im) (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(*.f64 (sin.f64 im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(+ (sin im) (* re (* (sin im) (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(*.f64 (sin.f64 im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(+ (sin im) (* re (* (sin im) (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(*.f64 (sin.f64 im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(+ (sin im) (* re (* (sin im) (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(*.f64 (sin.f64 im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(+ (sin im) (* re (* (sin im) (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(*.f64 (sin.f64 im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(+ (sin im) (* re (* (sin im) (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(*.f64 (sin.f64 im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(sin im)
(sin.f64 im)
(+ (sin im) (* re (sin im)))
(*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #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 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(* 1/6 (* (pow re 3) (sin im)))
(*.f64 (*.f64 (*.f64 (*.f64 (sin.f64 im) re) re) #s(literal 1/6 binary64)) re)
(* (pow re 3) (+ (* 1/6 (sin im)) (* 1/2 (/ (sin im) re))))
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(*.f64 (fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 (exp.f64 re) (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re))) im)
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 re #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #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 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(* 1/6 (pow re 3))
(*.f64 (*.f64 (*.f64 re re) #s(literal 1/6 binary64)) re)
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re)
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re)
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(* 1/6 (pow re 3))
(*.f64 (*.f64 (*.f64 re re) #s(literal 1/6 binary64)) re)
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re)
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(*.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1/2 binary64)) re)) re)) (*.f64 re re))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))
(*.f64 (*.f64 (neg.f64 re) (*.f64 re re)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) re) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 re re)))) re) #s(literal 1/6 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 re))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
(* 1/6 (pow re 2))
(*.f64 (*.f64 re re) #s(literal 1/6 binary64))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re)
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
(* 1/6 (pow re 2))
(*.f64 (*.f64 re re) #s(literal 1/6 binary64))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re)
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 re))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 re))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 re))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(* 1/6 re)
(*.f64 #s(literal 1/6 binary64) re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(* 1/6 re)
(*.f64 #s(literal 1/6 binary64) re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow im 2)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64))
(+ 1 (* -1/6 (pow im 2)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64))
(+ 1 (* -1/6 (pow im 2)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64))
(* -1/6 (pow im 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 im im))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/6))
(fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/6))
(fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/6))
(fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64))
(* -1/6 (pow im 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 im im))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/6))
(fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/6))
(fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/6))
(fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64))
im
(* im (+ 1 (* -1/6 (pow im 2))))
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64)) im)
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 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)

rewrite170.0ms (1%)

Memory
-7.5MiB live, 271.0MiB allocated
Rules
5 664×lower-fma.f32
5 648×lower-fma.f64
4 206×lower-/.f32
4 202×lower-/.f64
3 646×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046308
073308
1251302
21651302
08212299
Stop Event
iter limit
node limit
iter limit
Counts
22 → 404
Calls
Call 1
Inputs
(fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im))
#s(approx (* (exp re) (sin im)) (fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im)))
(*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)))
(sin.f64 im)
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (* (exp re) im) (fma.f64 re im im))
(fma.f64 re im im)
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re))))
#s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re)))
#s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re))
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re)
(/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64))))))
#s(approx (sin im) (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64))
#s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im))
Outputs
(*.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))))) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 im) (*.f64 (*.f64 (sin.f64 im) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64))))))
(*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (*.f64 (sin.f64 im) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64))) (sin.f64 im)))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 im) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (sin.f64 im) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) (*.f64 (sin.f64 im) (-.f64 (sin.f64 im) (*.f64 (*.f64 (sin.f64 im) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)))))))))
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (sin.f64 im) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64))) (sin.f64 im))))
(*.f64 (+.f64 (pow.f64 (sin.f64 im) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (sin.f64 im) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) (neg.f64 (*.f64 (*.f64 (*.f64 (sin.f64 im) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64))) (sin.f64 im)))))))
(*.f64 (+.f64 (pow.f64 (sin.f64 im) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (sin.f64 im) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) (*.f64 (sin.f64 im) (-.f64 (sin.f64 im) (*.f64 (*.f64 (sin.f64 im) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64))))))))
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(*.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/36 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 im im) im)) (*.f64 (*.f64 im im) im) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/6 binary64))))) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/6 binary64)))))
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/36 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))))
(*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 im im) im)) (*.f64 (*.f64 im im) im) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/6 binary64)))))))
(*.f64 (fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 im im) im)) (*.f64 (*.f64 im im) im) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/36 binary64) (neg.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)))))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 im im) im)) (*.f64 (*.f64 im im) im) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/6 binary64))))))
(*.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 im im) #s(literal -1/6 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 im im) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 im im) #s(literal -1/6 binary64))))
(*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/36 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/36 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/36 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/36 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/36 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/36 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/36 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/36 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/6 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/36 binary64) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 im im) im)) (*.f64 (*.f64 im im) im) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/6 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/36 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/36 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/36 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 im im) im)) (*.f64 (*.f64 im im) im) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/36 binary64) (neg.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 im im) im)) (*.f64 (*.f64 im im) im) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/6 binary64))))))
(/.f64 (fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))
(/.f64 (fma.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 im im) im)) (*.f64 (*.f64 im im) im) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/36 binary64) (neg.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64))))))
(/.f64 (fma.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 im im) im)) (*.f64 (*.f64 im im) im) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/6 binary64)))))
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 im im) #s(literal -1/6 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(/.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/6 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/36 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/36 binary64) (neg.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64))))) (fma.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 im im) im)) (*.f64 (*.f64 im im) im) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 im im) #s(literal -1/6 binary64))))
(fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))))
(fma.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(fma.f64 im (*.f64 #s(literal -1/6 binary64) im) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/6 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/36 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/6 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/36 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/36 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 im im) #s(literal -1/6 binary64))))
(exp.f64 (neg.f64 (*.f64 (log1p.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64))) #s(literal -1 binary64))))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log1p.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/36 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))))
(+.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/6 binary64)))
#s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im))

eval138.0ms (0.8%)

Memory
-24.5MiB live, 273.9MiB allocated
Compiler

Compiled 23 607 to 1 792 computations (92.4% saved)

prune174.0ms (1.1%)

Memory
-4.0MiB live, 397.9MiB allocated
Pruning

58 alts after pruning (49 fresh and 9 done)

PrunedKeptTotal
New94025965
Fresh32427
Picked325
Done077
Total946581 004
Accuracy
100.0%
Counts
1 004 → 58
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.2%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
35.3%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
33.4%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
63.1%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
26.7%
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
48.2%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
28.9%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
16.8%
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
16.7%
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
16.5%
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/6 binary64)) re))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
18.7%
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
18.4%
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
60.2%
#s(approx (* (exp re) (sin im)) (fma.f64 (*.f64 (sin.f64 im) (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im)))
32.9%
#s(approx (* (exp re) (sin im)) (/.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))))) (-.f64 (sin.f64 im) (*.f64 (*.f64 (sin.f64 im) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64))))))
64.5%
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
35.1%
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
32.9%
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
24.8%
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) im))
22.0%
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im))
47.2%
#s(approx (* (exp re) (sin im)) (sin.f64 im))
33.3%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re im) im) re im)))
30.0%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
25.1%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal -1 binary64)) im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal -1 binary64))) re im)))
33.7%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64))) re im)))
24.3%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 re re) re) #s(literal 1/8 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))) re #s(literal 1 binary64))) re im)))
23.1%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im)))
24.3%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (*.f64 re #s(literal 1/12 binary64)))) (fma.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 re re) re) #s(literal 1/8 binary64)))) re #s(literal 1 binary64))) re im)))
33.7%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im)))
33.2%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) (*.f64 re (fma.f64 (*.f64 #s(literal 1/6 binary64) im) re (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re))))) re im)))
24.8%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
14.7%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re im) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re) im)) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re) im))))
24.3%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re (/.f64 (*.f64 re im) re)))))
15.1%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 re im) re)))))
15.5%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re))))
14.3%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 im (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/6 binary64)) (/.f64 im (*.f64 re re))) re) (*.f64 re re)))))
15.4%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) im) re))))
15.1%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re))))
16.8%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (*.f64 re re) re) im) #s(literal 1/6 binary64)))))
15.0%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) im) re) re))))
11.8%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) im) re) re))))
16.9%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 im (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))))))
14.7%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) #s(approx (* (* (* (+ (* 1/6 re) 1/2) im) re) re) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) re) re) im)))))
6.7%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 re im))))
26.7%
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) im))))
21.7%
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) im) im) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) im)) im #s(literal -1 binary64)) im) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)))))
18.2%
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im (/.f64 #s(literal 1 binary64) #s(approx (+ (* -1/6 (* im im)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))))
28.8%
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im #s(approx (/ 1 (+ (* -1/6 (* im im)) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 im im) #s(literal 1/36 binary64)) (*.f64 im im) #s(literal 1/6 binary64)) (*.f64 im im) #s(literal 1 binary64))))))
28.4%
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im #s(approx (/ 1 (+ (* -1/6 (* im im)) 1)) (fma.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 im im) #s(literal 1/6 binary64)) (*.f64 im im) #s(literal 1 binary64))))))
25.9%
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im #s(approx (/ 1 (+ (* -1/6 (* im im)) 1)) (fma.f64 (*.f64 #s(literal 1/6 binary64) im) im #s(literal 1 binary64))))))
21.8%
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im #s(approx (/ 1 (+ (* -1/6 (* im im)) 1)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -216 binary64) (*.f64 im im)) #s(literal -36 binary64)) (*.f64 im im)) #s(literal 6 binary64)) (*.f64 im im))))))
22.8%
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im #s(approx (/ 1 (+ (* -1/6 (* im im)) 1)) (/.f64 (-.f64 (-.f64 #s(literal -6 binary64) (/.f64 #s(literal 36 binary64) (*.f64 im im))) (/.f64 (+.f64 (/.f64 #s(literal 1296 binary64) (*.f64 im im)) #s(literal 216 binary64)) (*.f64 (*.f64 im im) (*.f64 im im)))) (*.f64 im im))))))
26.7%
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))))
30.0%
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
26.1%
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
26.7%
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im)))
19.6%
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 #s(approx (+ (* (+ (* 1/120 (* im im)) -1/6) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/120 binary64))) im)))
18.2%
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 #s(approx (+ (* (* im im) -1/6) 1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64))) im)))
18.2%
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (/ im (/ 1 (+ (* -1/6 (* im im)) 1))) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64)))))
Compiler

Compiled 2 322 to 814 computations (64.9% saved)

regimes103.0ms (0.6%)

Memory
11.7MiB live, 177.0MiB allocated
Counts
69 → 1
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 re im))))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) im))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (* (+ (* (* im im) -1/6) 1) im) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (/ im (/ 1 (+ (* -1/6 (* im im)) 1))) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 #s(approx (+ (* (* im im) -1/6) 1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) #s(approx (* (* (* (+ (* 1/6 re) 1/2) im) re) re) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) re) re) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) im) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) im) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (*.f64 re re) re) im) #s(literal 1/6 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 im (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 re im) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im #s(approx (/ 1 (+ (* -1/6 (* im im)) 1)) (fma.f64 (*.f64 #s(literal 1/6 binary64) im) im #s(literal 1 binary64))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re im) im) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 #s(approx (+ (* (+ (* 1/120 (* im im)) -1/6) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/120 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im (/.f64 #s(literal 1 binary64) #s(approx (+ (* -1/6 (* im im)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im #s(approx (/ 1 (+ (* -1/6 (* im im)) 1)) (fma.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 im im) #s(literal 1/6 binary64)) (*.f64 im im) #s(literal 1 binary64))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) im))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re (/.f64 (*.f64 re im) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) (*.f64 re (fma.f64 (*.f64 #s(literal 1/6 binary64) im) re (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re))))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im #s(approx (/ 1 (+ (* -1/6 (* im im)) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 im im) #s(literal 1/36 binary64)) (*.f64 im im) #s(literal 1/6 binary64)) (*.f64 im im) #s(literal 1 binary64))))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64))) re im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/6 binary64)) re))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 im (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/6 binary64)) (/.f64 im (*.f64 re re))) re) (*.f64 re re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal -1 binary64)) im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal -1 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 re re) re) #s(literal 1/8 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))) re #s(literal 1 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im #s(approx (/ 1 (+ (* -1/6 (* im im)) 1)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -216 binary64) (*.f64 im im)) #s(literal -36 binary64)) (*.f64 im im)) #s(literal 6 binary64)) (*.f64 im im))))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (*.f64 re #s(literal 1/12 binary64)))) (fma.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 re re) re) #s(literal 1/8 binary64)))) re #s(literal 1 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) im) im) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) im)) im #s(literal -1 binary64)) im) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re im) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re) im)) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re) im))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im #s(approx (/ 1 (+ (* -1/6 (* im im)) 1)) (/.f64 (-.f64 (-.f64 #s(literal -6 binary64) (/.f64 #s(literal 36 binary64) (*.f64 im im))) (/.f64 (+.f64 (/.f64 #s(literal 1296 binary64) (*.f64 im im)) #s(literal 216 binary64)) (*.f64 (*.f64 im im) (*.f64 im im)))) (*.f64 im im))))))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
(*.f64 (exp.f64 re) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
(*.f64 (exp.f64 re) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (fma.f64 (*.f64 (sin.f64 im) (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im)))
#s(approx (* (exp re) (sin im)) (fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im)))
#s(approx (* (exp re) (sin im)) (/.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))))) (-.f64 (sin.f64 im) (*.f64 (*.f64 (sin.f64 im) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64))))))
Outputs
(*.f64 (exp.f64 re) (sin.f64 im))
Calls

5 calls:

23.0ms
im
21.0ms
(sin.f64 im)
21.0ms
re
19.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
15.0ms
(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)

regimes96.0ms (0.6%)

Memory
12.9MiB live, 132.3MiB allocated
Counts
65 → 5
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 re im))))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) im))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (* (+ (* (* im im) -1/6) 1) im) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (/ im (/ 1 (+ (* -1/6 (* im im)) 1))) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 #s(approx (+ (* (* im im) -1/6) 1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) #s(approx (* (* (* (+ (* 1/6 re) 1/2) im) re) re) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) re) re) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) im) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) im) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (*.f64 re re) re) im) #s(literal 1/6 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 im (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 re im) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im #s(approx (/ 1 (+ (* -1/6 (* im im)) 1)) (fma.f64 (*.f64 #s(literal 1/6 binary64) im) im #s(literal 1 binary64))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re im) im) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 #s(approx (+ (* (+ (* 1/120 (* im im)) -1/6) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/120 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im (/.f64 #s(literal 1 binary64) #s(approx (+ (* -1/6 (* im im)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im #s(approx (/ 1 (+ (* -1/6 (* im im)) 1)) (fma.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 im im) #s(literal 1/6 binary64)) (*.f64 im im) #s(literal 1 binary64))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) im))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re (/.f64 (*.f64 re im) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) (*.f64 re (fma.f64 (*.f64 #s(literal 1/6 binary64) im) re (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re))))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im #s(approx (/ 1 (+ (* -1/6 (* im im)) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 im im) #s(literal 1/36 binary64)) (*.f64 im im) #s(literal 1/6 binary64)) (*.f64 im im) #s(literal 1 binary64))))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64))) re im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/6 binary64)) re))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 im (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/6 binary64)) (/.f64 im (*.f64 re re))) re) (*.f64 re re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal -1 binary64)) im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal -1 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 re re) re) #s(literal 1/8 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))) re #s(literal 1 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im #s(approx (/ 1 (+ (* -1/6 (* im im)) 1)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -216 binary64) (*.f64 im im)) #s(literal -36 binary64)) (*.f64 im im)) #s(literal 6 binary64)) (*.f64 im im))))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (*.f64 re #s(literal 1/12 binary64)))) (fma.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 re re) re) #s(literal 1/8 binary64)))) re #s(literal 1 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) im) im) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) im)) im #s(literal -1 binary64)) im) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re im) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re) im)) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re) im))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im #s(approx (/ 1 (+ (* -1/6 (* im im)) 1)) (/.f64 (-.f64 (-.f64 #s(literal -6 binary64) (/.f64 #s(literal 36 binary64) (*.f64 im im))) (/.f64 (+.f64 (/.f64 #s(literal 1296 binary64) (*.f64 im im)) #s(literal 216 binary64)) (*.f64 (*.f64 im im) (*.f64 im im)))) (*.f64 im im))))))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
(*.f64 (exp.f64 re) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
Outputs
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
Calls

5 calls:

21.0ms
im
20.0ms
(sin.f64 im)
19.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
17.0ms
re
14.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
98.0%4re
87.1%2im
100.0%5(*.f64 (exp.f64 re) (sin.f64 im))
92.5%2(exp.f64 re)
87.9%3(sin.f64 im)
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes22.0ms (0.1%)

Memory
-12.4MiB live, 26.1MiB allocated
Counts
64 → 5
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 re im))))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) im))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (* (+ (* (* im im) -1/6) 1) im) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (/ im (/ 1 (+ (* -1/6 (* im im)) 1))) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 #s(approx (+ (* (* im im) -1/6) 1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) #s(approx (* (* (* (+ (* 1/6 re) 1/2) im) re) re) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) re) re) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) im) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) im) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (*.f64 re re) re) im) #s(literal 1/6 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 im (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 re im) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im #s(approx (/ 1 (+ (* -1/6 (* im im)) 1)) (fma.f64 (*.f64 #s(literal 1/6 binary64) im) im #s(literal 1 binary64))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re im) im) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 #s(approx (+ (* (+ (* 1/120 (* im im)) -1/6) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/120 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im (/.f64 #s(literal 1 binary64) #s(approx (+ (* -1/6 (* im im)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im #s(approx (/ 1 (+ (* -1/6 (* im im)) 1)) (fma.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 im im) #s(literal 1/6 binary64)) (*.f64 im im) #s(literal 1 binary64))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) im))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re (/.f64 (*.f64 re im) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) (*.f64 re (fma.f64 (*.f64 #s(literal 1/6 binary64) im) re (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re))))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im #s(approx (/ 1 (+ (* -1/6 (* im im)) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 im im) #s(literal 1/36 binary64)) (*.f64 im im) #s(literal 1/6 binary64)) (*.f64 im im) #s(literal 1 binary64))))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64))) re im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/6 binary64)) re))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 im (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/6 binary64)) (/.f64 im (*.f64 re re))) re) (*.f64 re re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal -1 binary64)) im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal -1 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 re re) re) #s(literal 1/8 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))) re #s(literal 1 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im #s(approx (/ 1 (+ (* -1/6 (* im im)) 1)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -216 binary64) (*.f64 im im)) #s(literal -36 binary64)) (*.f64 im im)) #s(literal 6 binary64)) (*.f64 im im))))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (*.f64 re #s(literal 1/12 binary64)))) (fma.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 re re) re) #s(literal 1/8 binary64)))) re #s(literal 1 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) im) im) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) im)) im #s(literal -1 binary64)) im) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re im) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re) im)) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re) im))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im #s(approx (/ 1 (+ (* -1/6 (* im im)) 1)) (/.f64 (-.f64 (-.f64 #s(literal -6 binary64) (/.f64 #s(literal 36 binary64) (*.f64 im im))) (/.f64 (+.f64 (/.f64 #s(literal 1296 binary64) (*.f64 im im)) #s(literal 216 binary64)) (*.f64 (*.f64 im im) (*.f64 im im)))) (*.f64 im im))))))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
(*.f64 (exp.f64 re) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
Outputs
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
Calls

1 calls:

16.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
100.0%5(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes39.0ms (0.2%)

Memory
-12.4MiB live, 25.6MiB allocated
Counts
62 → 5
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 re im))))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) im))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (* (+ (* (* im im) -1/6) 1) im) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (/ im (/ 1 (+ (* -1/6 (* im im)) 1))) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 #s(approx (+ (* (* im im) -1/6) 1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) #s(approx (* (* (* (+ (* 1/6 re) 1/2) im) re) re) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) re) re) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) im) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) im) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (*.f64 re re) re) im) #s(literal 1/6 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 im (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 re im) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im #s(approx (/ 1 (+ (* -1/6 (* im im)) 1)) (fma.f64 (*.f64 #s(literal 1/6 binary64) im) im #s(literal 1 binary64))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re im) im) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 #s(approx (+ (* (+ (* 1/120 (* im im)) -1/6) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/120 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im (/.f64 #s(literal 1 binary64) #s(approx (+ (* -1/6 (* im im)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im #s(approx (/ 1 (+ (* -1/6 (* im im)) 1)) (fma.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 im im) #s(literal 1/6 binary64)) (*.f64 im im) #s(literal 1 binary64))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) im))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re (/.f64 (*.f64 re im) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) (*.f64 re (fma.f64 (*.f64 #s(literal 1/6 binary64) im) re (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re))))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im #s(approx (/ 1 (+ (* -1/6 (* im im)) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 im im) #s(literal 1/36 binary64)) (*.f64 im im) #s(literal 1/6 binary64)) (*.f64 im im) #s(literal 1 binary64))))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64))) re im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/6 binary64)) re))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 im (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/6 binary64)) (/.f64 im (*.f64 re re))) re) (*.f64 re re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal -1 binary64)) im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal -1 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 re re) re) #s(literal 1/8 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))) re #s(literal 1 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im #s(approx (/ 1 (+ (* -1/6 (* im im)) 1)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -216 binary64) (*.f64 im im)) #s(literal -36 binary64)) (*.f64 im im)) #s(literal 6 binary64)) (*.f64 im im))))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (*.f64 re #s(literal 1/12 binary64)))) (fma.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 re re) re) #s(literal 1/8 binary64)))) re #s(literal 1 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) im) im) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) im)) im #s(literal -1 binary64)) im) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re im) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re) im)) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re) im))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im #s(approx (/ 1 (+ (* -1/6 (* im im)) 1)) (/.f64 (-.f64 (-.f64 #s(literal -6 binary64) (/.f64 #s(literal 36 binary64) (*.f64 im im))) (/.f64 (+.f64 (/.f64 #s(literal 1296 binary64) (*.f64 im im)) #s(literal 216 binary64)) (*.f64 (*.f64 im im) (*.f64 im im)))) (*.f64 im im))))))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
Outputs
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
Calls

1 calls:

35.0ms
(*.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)

regimes107.0ms (0.6%)

Memory
15.4MiB live, 53.4MiB allocated
Counts
61 → 5
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 re im))))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) im))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (* (+ (* (* im im) -1/6) 1) im) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (/ im (/ 1 (+ (* -1/6 (* im im)) 1))) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 #s(approx (+ (* (* im im) -1/6) 1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) #s(approx (* (* (* (+ (* 1/6 re) 1/2) im) re) re) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) re) re) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) im) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) im) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (*.f64 re re) re) im) #s(literal 1/6 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 im (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 re im) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im #s(approx (/ 1 (+ (* -1/6 (* im im)) 1)) (fma.f64 (*.f64 #s(literal 1/6 binary64) im) im #s(literal 1 binary64))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re im) im) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 #s(approx (+ (* (+ (* 1/120 (* im im)) -1/6) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/120 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im (/.f64 #s(literal 1 binary64) #s(approx (+ (* -1/6 (* im im)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im #s(approx (/ 1 (+ (* -1/6 (* im im)) 1)) (fma.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 im im) #s(literal 1/6 binary64)) (*.f64 im im) #s(literal 1 binary64))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) im))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re (/.f64 (*.f64 re im) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) (*.f64 re (fma.f64 (*.f64 #s(literal 1/6 binary64) im) re (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re))))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im #s(approx (/ 1 (+ (* -1/6 (* im im)) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 im im) #s(literal 1/36 binary64)) (*.f64 im im) #s(literal 1/6 binary64)) (*.f64 im im) #s(literal 1 binary64))))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64))) re im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/6 binary64)) re))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 im (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/6 binary64)) (/.f64 im (*.f64 re re))) re) (*.f64 re re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal -1 binary64)) im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal -1 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 re re) re) #s(literal 1/8 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))) re #s(literal 1 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im #s(approx (/ 1 (+ (* -1/6 (* im im)) 1)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -216 binary64) (*.f64 im im)) #s(literal -36 binary64)) (*.f64 im im)) #s(literal 6 binary64)) (*.f64 im im))))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (*.f64 re #s(literal 1/12 binary64)))) (fma.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 re re) re) #s(literal 1/8 binary64)))) re #s(literal 1 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) im) im) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) im)) im #s(literal -1 binary64)) im) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re im) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re) im)) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re) im))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im #s(approx (/ 1 (+ (* -1/6 (* im im)) 1)) (/.f64 (-.f64 (-.f64 #s(literal -6 binary64) (/.f64 #s(literal 36 binary64) (*.f64 im im))) (/.f64 (+.f64 (/.f64 #s(literal 1296 binary64) (*.f64 im im)) #s(literal 216 binary64)) (*.f64 (*.f64 im im) (*.f64 im im)))) (*.f64 im im))))))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
Outputs
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
Calls

2 calls:

88.0ms
re
15.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
91.9%4re
99.0%5(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 10 to 7 computations (30% saved)

regimes355.0ms (2.1%)

Memory
-19.6MiB live, 143.0MiB allocated
Counts
60 → 5
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 re im))))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) im))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (* (+ (* (* im im) -1/6) 1) im) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (/ im (/ 1 (+ (* -1/6 (* im im)) 1))) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 #s(approx (+ (* (* im im) -1/6) 1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) #s(approx (* (* (* (+ (* 1/6 re) 1/2) im) re) re) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) re) re) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) im) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) im) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (*.f64 re re) re) im) #s(literal 1/6 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 im (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 re im) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im #s(approx (/ 1 (+ (* -1/6 (* im im)) 1)) (fma.f64 (*.f64 #s(literal 1/6 binary64) im) im #s(literal 1 binary64))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re im) im) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 #s(approx (+ (* (+ (* 1/120 (* im im)) -1/6) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/120 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im (/.f64 #s(literal 1 binary64) #s(approx (+ (* -1/6 (* im im)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im #s(approx (/ 1 (+ (* -1/6 (* im im)) 1)) (fma.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 im im) #s(literal 1/6 binary64)) (*.f64 im im) #s(literal 1 binary64))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) im))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re (/.f64 (*.f64 re im) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) (*.f64 re (fma.f64 (*.f64 #s(literal 1/6 binary64) im) re (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re))))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im #s(approx (/ 1 (+ (* -1/6 (* im im)) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 im im) #s(literal 1/36 binary64)) (*.f64 im im) #s(literal 1/6 binary64)) (*.f64 im im) #s(literal 1 binary64))))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64))) re im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/6 binary64)) re))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 im (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/6 binary64)) (/.f64 im (*.f64 re re))) re) (*.f64 re re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal -1 binary64)) im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal -1 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 re re) re) #s(literal 1/8 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))) re #s(literal 1 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im #s(approx (/ 1 (+ (* -1/6 (* im im)) 1)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -216 binary64) (*.f64 im im)) #s(literal -36 binary64)) (*.f64 im im)) #s(literal 6 binary64)) (*.f64 im im))))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (*.f64 re #s(literal 1/12 binary64)))) (fma.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 re re) re) #s(literal 1/8 binary64)))) re #s(literal 1 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) im) im) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) im)) im #s(literal -1 binary64)) im) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re im) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re) im)) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re) im))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im #s(approx (/ 1 (+ (* -1/6 (* im im)) 1)) (/.f64 (-.f64 (-.f64 #s(literal -6 binary64) (/.f64 #s(literal 36 binary64) (*.f64 im im))) (/.f64 (+.f64 (/.f64 #s(literal 1296 binary64) (*.f64 im im)) #s(literal 216 binary64)) (*.f64 (*.f64 im im) (*.f64 im im)))) (*.f64 im im))))))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
Outputs
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im #s(approx (/ 1 (+ (* -1/6 (* im im)) 1)) (/.f64 (-.f64 (-.f64 #s(literal -6 binary64) (/.f64 #s(literal 36 binary64) (*.f64 im im))) (/.f64 (+.f64 (/.f64 #s(literal 1296 binary64) (*.f64 im im)) #s(literal 216 binary64)) (*.f64 (*.f64 im im) (*.f64 im im)))) (*.f64 im im))))))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/6 binary64)) re))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
Calls

5 calls:

93.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
86.0ms
(exp.f64 re)
84.0ms
im
72.0ms
(sin.f64 im)
16.0ms
re
Results
AccuracySegmentsBranch
56.9%3(sin.f64 im)
55.4%2im
77.1%3re
77.1%3(exp.f64 re)
84.7%5(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes55.0ms (0.3%)

Memory
24.2MiB live, 65.9MiB allocated
Counts
59 → 3
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 re im))))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) im))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (* (+ (* (* im im) -1/6) 1) im) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (/ im (/ 1 (+ (* -1/6 (* im im)) 1))) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 #s(approx (+ (* (* im im) -1/6) 1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) #s(approx (* (* (* (+ (* 1/6 re) 1/2) im) re) re) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) re) re) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) im) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) im) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (*.f64 re re) re) im) #s(literal 1/6 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 im (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 re im) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im #s(approx (/ 1 (+ (* -1/6 (* im im)) 1)) (fma.f64 (*.f64 #s(literal 1/6 binary64) im) im #s(literal 1 binary64))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re im) im) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 #s(approx (+ (* (+ (* 1/120 (* im im)) -1/6) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/120 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im (/.f64 #s(literal 1 binary64) #s(approx (+ (* -1/6 (* im im)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im #s(approx (/ 1 (+ (* -1/6 (* im im)) 1)) (fma.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 im im) #s(literal 1/6 binary64)) (*.f64 im im) #s(literal 1 binary64))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) im))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re (/.f64 (*.f64 re im) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) (*.f64 re (fma.f64 (*.f64 #s(literal 1/6 binary64) im) re (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re))))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im #s(approx (/ 1 (+ (* -1/6 (* im im)) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 im im) #s(literal 1/36 binary64)) (*.f64 im im) #s(literal 1/6 binary64)) (*.f64 im im) #s(literal 1 binary64))))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64))) re im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/6 binary64)) re))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 im (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/6 binary64)) (/.f64 im (*.f64 re re))) re) (*.f64 re re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal -1 binary64)) im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal -1 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 re re) re) #s(literal 1/8 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))) re #s(literal 1 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im #s(approx (/ 1 (+ (* -1/6 (* im im)) 1)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -216 binary64) (*.f64 im im)) #s(literal -36 binary64)) (*.f64 im im)) #s(literal 6 binary64)) (*.f64 im im))))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (*.f64 re #s(literal 1/12 binary64)))) (fma.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 re re) re) #s(literal 1/8 binary64)))) re #s(literal 1 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) im) im) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) im)) im #s(literal -1 binary64)) im) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re im) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re) im)) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re) im))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im #s(approx (/ 1 (+ (* -1/6 (* im im)) 1)) (/.f64 (-.f64 (-.f64 #s(literal -6 binary64) (/.f64 #s(literal 36 binary64) (*.f64 im im))) (/.f64 (+.f64 (/.f64 #s(literal 1296 binary64) (*.f64 im im)) #s(literal 216 binary64)) (*.f64 (*.f64 im im) (*.f64 im im)))) (*.f64 im im))))))
Outputs
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im #s(approx (/ 1 (+ (* -1/6 (* im im)) 1)) (/.f64 (-.f64 (-.f64 #s(literal -6 binary64) (/.f64 #s(literal 36 binary64) (*.f64 im im))) (/.f64 (+.f64 (/.f64 #s(literal 1296 binary64) (*.f64 im im)) #s(literal 216 binary64)) (*.f64 (*.f64 im im) (*.f64 im im)))) (*.f64 im im))))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
Calls

3 calls:

20.0ms
(exp.f64 re)
16.0ms
re
14.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
52.0%2re
52.0%2(exp.f64 re)
60.2%3(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes36.0ms (0.2%)

Memory
-12.6MiB live, 25.8MiB allocated
Counts
58 → 3
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 re im))))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) im))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (* (+ (* (* im im) -1/6) 1) im) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (/ im (/ 1 (+ (* -1/6 (* im im)) 1))) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 #s(approx (+ (* (* im im) -1/6) 1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) #s(approx (* (* (* (+ (* 1/6 re) 1/2) im) re) re) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) re) re) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) im) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) im) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (*.f64 re re) re) im) #s(literal 1/6 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 im (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 re im) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im #s(approx (/ 1 (+ (* -1/6 (* im im)) 1)) (fma.f64 (*.f64 #s(literal 1/6 binary64) im) im #s(literal 1 binary64))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re im) im) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 #s(approx (+ (* (+ (* 1/120 (* im im)) -1/6) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/120 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im (/.f64 #s(literal 1 binary64) #s(approx (+ (* -1/6 (* im im)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im #s(approx (/ 1 (+ (* -1/6 (* im im)) 1)) (fma.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 im im) #s(literal 1/6 binary64)) (*.f64 im im) #s(literal 1 binary64))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) im))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re (/.f64 (*.f64 re im) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) (*.f64 re (fma.f64 (*.f64 #s(literal 1/6 binary64) im) re (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re))))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im #s(approx (/ 1 (+ (* -1/6 (* im im)) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 im im) #s(literal 1/36 binary64)) (*.f64 im im) #s(literal 1/6 binary64)) (*.f64 im im) #s(literal 1 binary64))))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64))) re im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/6 binary64)) re))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 im (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/6 binary64)) (/.f64 im (*.f64 re re))) re) (*.f64 re re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal -1 binary64)) im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal -1 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 re re) re) #s(literal 1/8 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))) re #s(literal 1 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im #s(approx (/ 1 (+ (* -1/6 (* im im)) 1)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -216 binary64) (*.f64 im im)) #s(literal -36 binary64)) (*.f64 im im)) #s(literal 6 binary64)) (*.f64 im im))))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (*.f64 re #s(literal 1/12 binary64)))) (fma.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 re re) re) #s(literal 1/8 binary64)))) re #s(literal 1 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) im) im) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) im)) im #s(literal -1 binary64)) im) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re im) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re) im)) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re) im))))
Outputs
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im #s(approx (/ 1 (+ (* -1/6 (* im im)) 1)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -216 binary64) (*.f64 im im)) #s(literal -36 binary64)) (*.f64 im im)) #s(literal 6 binary64)) (*.f64 im im))))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
Calls

1 calls:

32.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
59.2%3(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes66.0ms (0.4%)

Memory
-14.9MiB live, 23.9MiB allocated
Counts
52 → 3
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 re im))))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) im))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (* (+ (* (* im im) -1/6) 1) im) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (/ im (/ 1 (+ (* -1/6 (* im im)) 1))) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 #s(approx (+ (* (* im im) -1/6) 1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) #s(approx (* (* (* (+ (* 1/6 re) 1/2) im) re) re) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) re) re) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) im) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) im) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (*.f64 re re) re) im) #s(literal 1/6 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 im (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 re im) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im #s(approx (/ 1 (+ (* -1/6 (* im im)) 1)) (fma.f64 (*.f64 #s(literal 1/6 binary64) im) im #s(literal 1 binary64))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re im) im) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 #s(approx (+ (* (+ (* 1/120 (* im im)) -1/6) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/120 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im (/.f64 #s(literal 1 binary64) #s(approx (+ (* -1/6 (* im im)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im #s(approx (/ 1 (+ (* -1/6 (* im im)) 1)) (fma.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 im im) #s(literal 1/6 binary64)) (*.f64 im im) #s(literal 1 binary64))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) im))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re (/.f64 (*.f64 re im) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) (*.f64 re (fma.f64 (*.f64 #s(literal 1/6 binary64) im) re (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re))))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im #s(approx (/ 1 (+ (* -1/6 (* im im)) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 im im) #s(literal 1/36 binary64)) (*.f64 im im) #s(literal 1/6 binary64)) (*.f64 im im) #s(literal 1 binary64))))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64))) re im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/6 binary64)) re))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 im (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/6 binary64)) (/.f64 im (*.f64 re re))) re) (*.f64 re re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal -1 binary64)) im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal -1 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 re re) re) #s(literal 1/8 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))) re #s(literal 1 binary64))) re im)))
Outputs
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 #s(approx (+ (* (+ (* 1/120 (* im im)) -1/6) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/120 binary64))) im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
Calls

1 calls:

13.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
57.5%3(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes15.0ms (0.1%)

Memory
24.7MiB live, 24.7MiB allocated
Counts
48 → 3
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 re im))))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) im))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (* (+ (* (* im im) -1/6) 1) im) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (/ im (/ 1 (+ (* -1/6 (* im im)) 1))) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 #s(approx (+ (* (* im im) -1/6) 1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) #s(approx (* (* (* (+ (* 1/6 re) 1/2) im) re) re) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) re) re) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) im) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) im) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (*.f64 re re) re) im) #s(literal 1/6 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 im (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 re im) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im #s(approx (/ 1 (+ (* -1/6 (* im im)) 1)) (fma.f64 (*.f64 #s(literal 1/6 binary64) im) im #s(literal 1 binary64))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re im) im) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 #s(approx (+ (* (+ (* 1/120 (* im im)) -1/6) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/120 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im (/.f64 #s(literal 1 binary64) #s(approx (+ (* -1/6 (* im im)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im #s(approx (/ 1 (+ (* -1/6 (* im im)) 1)) (fma.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 im im) #s(literal 1/6 binary64)) (*.f64 im im) #s(literal 1 binary64))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) im))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re (/.f64 (*.f64 re im) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) (*.f64 re (fma.f64 (*.f64 #s(literal 1/6 binary64) im) re (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re))))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im #s(approx (/ 1 (+ (* -1/6 (* im im)) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 im im) #s(literal 1/36 binary64)) (*.f64 im im) #s(literal 1/6 binary64)) (*.f64 im im) #s(literal 1 binary64))))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64))) re im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/6 binary64)) re))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64))) re im)))
Outputs
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 #s(approx (+ (* (+ (* 1/120 (* im im)) -1/6) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/120 binary64))) im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
Calls

1 calls:

12.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
57.3%3(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes76.0ms (0.5%)

Memory
-15.6MiB live, 23.2MiB allocated
Counts
33 → 3
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 re im))))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) im))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (* (+ (* (* im im) -1/6) 1) im) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (/ im (/ 1 (+ (* -1/6 (* im im)) 1))) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 #s(approx (+ (* (* im im) -1/6) 1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) #s(approx (* (* (* (+ (* 1/6 re) 1/2) im) re) re) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) re) re) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) im) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) im) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (*.f64 re re) re) im) #s(literal 1/6 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 im (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 re im) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im #s(approx (/ 1 (+ (* -1/6 (* im im)) 1)) (fma.f64 (*.f64 #s(literal 1/6 binary64) im) im #s(literal 1 binary64))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re im) im) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 #s(approx (+ (* (+ (* 1/120 (* im im)) -1/6) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/120 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im (/.f64 #s(literal 1 binary64) #s(approx (+ (* -1/6 (* im im)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im #s(approx (/ 1 (+ (* -1/6 (* im im)) 1)) (fma.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 im im) #s(literal 1/6 binary64)) (*.f64 im im) #s(literal 1 binary64))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) im))))
Outputs
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 #s(approx (+ (* (+ (* 1/120 (* im im)) -1/6) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/120 binary64))) im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
Calls

1 calls:

74.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
57.2%3(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes9.0ms (0.1%)

Memory
19.4MiB live, 19.4MiB allocated
Counts
29 → 3
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 re im))))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) im))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (* (+ (* (* im im) -1/6) 1) im) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (/ im (/ 1 (+ (* -1/6 (* im im)) 1))) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 #s(approx (+ (* (* im im) -1/6) 1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) #s(approx (* (* (* (+ (* 1/6 re) 1/2) im) re) re) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) re) re) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) im) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) im) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (*.f64 re re) re) im) #s(literal 1/6 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 im (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 re im) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im #s(approx (/ 1 (+ (* -1/6 (* im im)) 1)) (fma.f64 (*.f64 #s(literal 1/6 binary64) im) im #s(literal 1 binary64))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re im) im) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 #s(approx (+ (* (+ (* 1/120 (* im im)) -1/6) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/120 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im (/.f64 #s(literal 1 binary64) #s(approx (+ (* -1/6 (* im im)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))))
Outputs
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 #s(approx (+ (* (+ (* 1/120 (* im im)) -1/6) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/120 binary64))) im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
Calls

1 calls:

8.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
57.1%3(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes85.0ms (0.5%)

Memory
-33.1MiB live, 52.8MiB allocated
Counts
27 → 3
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 re im))))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) im))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (* (+ (* (* im im) -1/6) 1) im) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (/ im (/ 1 (+ (* -1/6 (* im im)) 1))) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 #s(approx (+ (* (* im im) -1/6) 1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) #s(approx (* (* (* (+ (* 1/6 re) 1/2) im) re) re) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) re) re) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) im) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) im) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (*.f64 re re) re) im) #s(literal 1/6 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 im (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 re im) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im #s(approx (/ 1 (+ (* -1/6 (* im im)) 1)) (fma.f64 (*.f64 #s(literal 1/6 binary64) im) im #s(literal 1 binary64))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re im) im) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 #s(approx (+ (* (+ (* 1/120 (* im im)) -1/6) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/120 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))
Outputs
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 #s(approx (+ (* (+ (* 1/120 (* im im)) -1/6) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/120 binary64))) im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
Calls

3 calls:

63.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
8.0ms
im
8.0ms
(sin.f64 im)
Results
AccuracySegmentsBranch
43.1%2(sin.f64 im)
39.5%3im
55.5%3(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes8.0ms (0%)

Memory
18.9MiB live, 18.9MiB allocated
Counts
25 → 3
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 re im))))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) im))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (* (+ (* (* im im) -1/6) 1) im) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (/ im (/ 1 (+ (* -1/6 (* im im)) 1))) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 #s(approx (+ (* (* im im) -1/6) 1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) #s(approx (* (* (* (+ (* 1/6 re) 1/2) im) re) re) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) re) re) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) im) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) im) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (*.f64 re re) re) im) #s(literal 1/6 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 im (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 re im) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im #s(approx (/ 1 (+ (* -1/6 (* im im)) 1)) (fma.f64 (*.f64 #s(literal 1/6 binary64) im) im #s(literal 1 binary64))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re im) im) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
Outputs
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (* (+ (* (* im im) -1/6) 1) im) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
Calls

1 calls:

7.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
53.6%3(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes75.0ms (0.5%)

Memory
-4.0MiB live, 35.2MiB allocated
Counts
24 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 re im))))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) im))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (* (+ (* (* im im) -1/6) 1) im) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (/ im (/ 1 (+ (* -1/6 (* im im)) 1))) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 #s(approx (+ (* (* im im) -1/6) 1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) #s(approx (* (* (* (+ (* 1/6 re) 1/2) im) re) re) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) re) re) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) im) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) im) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (*.f64 re re) re) im) #s(literal 1/6 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 im (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 re im) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im #s(approx (/ 1 (+ (* -1/6 (* im im)) 1)) (fma.f64 (*.f64 #s(literal 1/6 binary64) im) im #s(literal 1 binary64))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re im) im) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
Outputs
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (* (+ (* (* im im) -1/6) 1) im) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
Calls

3 calls:

61.0ms
re
6.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
6.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
45.7%2(exp.f64 re)
45.7%2re
51.4%2(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes8.0ms (0%)

Memory
14.1MiB live, 14.1MiB allocated
Counts
23 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 re im))))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) im))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (* (+ (* (* im im) -1/6) 1) im) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (/ im (/ 1 (+ (* -1/6 (* im im)) 1))) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 #s(approx (+ (* (* im im) -1/6) 1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) #s(approx (* (* (* (+ (* 1/6 re) 1/2) im) re) re) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) re) re) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) im) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) im) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (*.f64 re re) re) im) #s(literal 1/6 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 im (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 re im) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im #s(approx (/ 1 (+ (* -1/6 (* im im)) 1)) (fma.f64 (*.f64 #s(literal 1/6 binary64) im) im #s(literal 1 binary64))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re im) im) re im)))
Outputs
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (* (+ (* (* im im) -1/6) 1) im) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im)))
Calls

1 calls:

6.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
49.9%2(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes59.0ms (0.4%)

Memory
-22.8MiB live, 15.5MiB allocated
Counts
21 → 3
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 re im))))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) im))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (* (+ (* (* im im) -1/6) 1) im) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (/ im (/ 1 (+ (* -1/6 (* im im)) 1))) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 #s(approx (+ (* (* im im) -1/6) 1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) #s(approx (* (* (* (+ (* 1/6 re) 1/2) im) re) re) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) re) re) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) im) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) im) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (*.f64 re re) re) im) #s(literal 1/6 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 im (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 re im) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im #s(approx (/ 1 (+ (* -1/6 (* im im)) 1)) (fma.f64 (*.f64 #s(literal 1/6 binary64) im) im #s(literal 1 binary64))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re))))
Outputs
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (* (+ (* (* im im) -1/6) 1) im) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (*.f64 re re) re) im) #s(literal 1/6 binary64)))))
Calls

1 calls:

58.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
51.3%3(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes5.0ms (0%)

Memory
10.8MiB live, 10.8MiB allocated
Counts
14 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 re im))))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) im))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (* (+ (* (* im im) -1/6) 1) im) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (/ im (/ 1 (+ (* -1/6 (* im im)) 1))) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 #s(approx (+ (* (* im im) -1/6) 1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) #s(approx (* (* (* (+ (* 1/6 re) 1/2) im) re) re) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) re) re) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) im) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) im) re) re))))
Outputs
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (* (+ (* (* im im) -1/6) 1) im) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
Calls

1 calls:

4.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
49.0%2(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes5.0ms (0%)

Memory
9.5MiB live, 9.5MiB allocated
Counts
12 → 3
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 re im))))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) im))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (* (+ (* (* im im) -1/6) 1) im) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (/ im (/ 1 (+ (* -1/6 (* im im)) 1))) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 #s(approx (+ (* (* im im) -1/6) 1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) #s(approx (* (* (* (+ (* 1/6 re) 1/2) im) re) re) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) re) re) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) im) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
Outputs
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (* (+ (* (* im im) -1/6) 1) im) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) #s(approx (* (* (* (+ (* 1/6 re) 1/2) im) re) re) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) re) re) im)))))
Calls

1 calls:

4.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
49.0%3(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes4.0ms (0%)

Memory
5.0MiB live, 5.0MiB allocated
Counts
11 → 3
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 re im))))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) im))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (* (+ (* (* im im) -1/6) 1) im) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (/ im (/ 1 (+ (* -1/6 (* im im)) 1))) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 #s(approx (+ (* (* im im) -1/6) 1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) #s(approx (* (* (* (+ (* 1/6 re) 1/2) im) re) re) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) re) re) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) im) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
Outputs
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (* (+ (* (* im im) -1/6) 1) im) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) #s(approx (* (* (* (+ (* 1/6 re) 1/2) im) re) re) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) re) re) im)))))
Calls

1 calls:

3.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
49.0%3(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes23.0ms (0.1%)

Memory
-23.1MiB live, 16.5MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 re im))))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) im))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (* (+ (* (* im im) -1/6) 1) im) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (/ im (/ 1 (+ (* -1/6 (* im im)) 1))) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 #s(approx (+ (* (* im im) -1/6) 1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64))) im)))
Outputs
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (* (+ (* (* im im) -1/6) 1) im) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
Calls

4 calls:

14.0ms
re
3.0ms
(sin.f64 im)
3.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
2.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
31.6%2(sin.f64 im)
37.3%3re
36.8%3(exp.f64 re)
40.8%2(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes11.0ms (0.1%)

Memory
18.8MiB live, 18.8MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 re im))))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) im))
Outputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im 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
24.8%1(sin.f64 im)
24.8%1(exp.f64 re)
24.8%1re
24.8%1im
24.8%1(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes29.0ms (0.2%)

Memory
-23.4MiB live, 15.9MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 re im))))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im))
Outputs
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 re im))))
Calls

5 calls:

22.0ms
im
2.0ms
(sin.f64 im)
2.0ms
re
1.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
1.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
25.2%2im
25.1%2re
25.1%2(exp.f64 re)
24.8%2(sin.f64 im)
25.1%2(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes6.0ms (0%)

Memory
14.2MiB live, 14.2MiB 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 (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 re im))))
Outputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 re im))))
Calls

5 calls:

1.0ms
(sin.f64 im)
1.0ms
im
1.0ms
re
1.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
1.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
6.7%1(sin.f64 im)
6.7%1re
6.7%1(exp.f64 re)
6.7%1(*.f64 (exp.f64 re) (sin.f64 im))
6.7%1im
Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9972940206570412
+inf
0.0ms
8.301363423228681e-26
2.185591904245774e-23
0.0ms
-0.014122683814943356
0.0
0.0ms
-inf
-0.9973339806204112
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9972940206570412
+inf
0.0ms
8.301363423228681e-26
2.185591904245774e-23
0.0ms
-0.014122683814943356
0.0
0.0ms
-inf
-0.9973339806204112
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9972940206570412
+inf
0.0ms
8.301363423228681e-26
2.185591904245774e-23
0.0ms
-0.014122683814943356
0.0
0.0ms
-inf
-0.9973339806204112
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9972940206570412
+inf
0.0ms
8.301363423228681e-26
2.185591904245774e-23
0.0ms
-0.014122683814943356
0.0
0.0ms
-inf
-0.9973339806204112
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9972940206570412
+inf
0.0ms
0.0
8.604211618605111e-305
0.0ms
-0.014122683814943356
0.0
0.0ms
-inf
-0.9973339806204112
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
8.604211618605111e-305
0.0ms
-0.9861697990491481
-0.9815551011229938
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
8.604211618605111e-305
0.0ms
-0.9861697990491481
-0.9815551011229938
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
8.604211618605111e-305
0.0ms
-0.014122683814943356
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
8.604211618605111e-305
0.0ms
-0.014122683814943356
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
8.604211618605111e-305
0.0ms
-0.014122683814943356
0.0
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
8.604211618605111e-305
0.0ms
-0.014122683814943356
0.0
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
8.604211618605111e-305
0.0ms
-0.014122683814943356
0.0
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
8.604211618605111e-305
0.0ms
-inf
-0.9973339806204112
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
8.604211618605111e-305
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
8.604211618605111e-305
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
0.9972940206570412
+inf
0.0ms
0.0
8.604211618605111e-305
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
8.604211618605111e-305
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
0.9972940206570412
+inf
0.0ms
0.0
8.604211618605111e-305
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
0.9972940206570412
+inf
0.0ms
0.0
8.604211618605111e-305
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
8.604211618605111e-305
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch87.0ms (0.5%)

Memory
-18.9MiB live, 20.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
86.0ms
85.36910860856587
1164762192.437463
Samples
81.0ms144×0valid
Compiler

Compiled 163 to 91 computations (44.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 78.0ms
ival-exp: 73.0ms (93.2% of total)
ival-sin: 5.0ms (6.4% of total)
ival-mult: 1.0ms (1.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify22.0ms (0.1%)

Memory
30.7MiB live, 30.7MiB allocated
Algorithm
egg-herbie
Rules
86×*-commutative_binary64
34×+-commutative_binary64
28×sub-neg_binary64
22×neg-sub0_binary64
22×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02101988
12531988
22711988
32941988
43161988
53281988
63331988
73341988
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 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/576460752303423488 binary64)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 8711228593176025/87112285931760246646623899502532662132736 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 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) #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) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/576460752303423488 binary64)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 8711228593176025/87112285931760246646623899502532662132736 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 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) #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) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/576460752303423488 binary64)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 8711228593176025/87112285931760246646623899502532662132736 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 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) #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) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/576460752303423488 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 8711228593176025/87112285931760246646623899502532662132736 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)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) #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) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/576460752303423488 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) (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 #s(approx (/ 1 (+ (* -1/6 (* im im)) 1)) (/.f64 (-.f64 (-.f64 #s(literal -6 binary64) (/.f64 #s(literal 36 binary64) (*.f64 im im))) (/.f64 (+.f64 (/.f64 #s(literal 1296 binary64) (*.f64 im im)) #s(literal 216 binary64)) (*.f64 (*.f64 im im) (*.f64 im im)))) (*.f64 im im)))))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/6 binary64)) re))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -8872091265919877/9007199254740992 binary64)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im))) (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 #s(approx (/ 1 (+ (* -1/6 (* im im)) 1)) (/.f64 (-.f64 (-.f64 #s(literal -6 binary64) (/.f64 #s(literal 36 binary64) (*.f64 im im))) (/.f64 (+.f64 (/.f64 #s(literal 1296 binary64) (*.f64 im im)) #s(literal 216 binary64)) (*.f64 (*.f64 im im) (*.f64 im im)))) (*.f64 im im)))))) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -8872091265919877/9007199254740992 binary64)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im))) (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 #s(approx (/ 1 (+ (* -1/6 (* im im)) 1)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -216 binary64) (*.f64 im im)) #s(literal -36 binary64)) (*.f64 im im)) #s(literal 6 binary64)) (*.f64 im im)))))) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/576460752303423488 binary64)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 #s(approx (+ (* (+ (* 1/120 (* im im)) -1/6) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/120 binary64))) im))) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im)))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/576460752303423488 binary64)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 #s(approx (+ (* (+ (* 1/120 (* im im)) -1/6) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/120 binary64))) im))) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/576460752303423488 binary64)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 #s(approx (+ (* (+ (* 1/120 (* im im)) -1/6) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/120 binary64))) im))) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/576460752303423488 binary64)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 #s(approx (+ (* (+ (* 1/120 (* im im)) -1/6) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/120 binary64))) im))) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/576460752303423488 binary64)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 #s(approx (+ (* (+ (* 1/120 (* im im)) -1/6) (* im im)) 1) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/120 binary64))) im))) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (* (+ (* (* im im) -1/6) 1) im) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64))))) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (* (+ (* (* im im) -1/6) 1) im) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64))))) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (* (+ (* (* im im) -1/6) 1) im) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64))))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (* (+ (* (* im im) -1/6) 1) im) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64))))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (*.f64 re re) re) im) #s(literal 1/6 binary64)))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (* (+ (* (* im im) -1/6) 1) im) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64))))) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (* (+ (* (* im im) -1/6) 1) im) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64))))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) #s(approx (* (* (* (+ (* 1/6 re) 1/2) im) re) re) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) re) re) im)))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (* (+ (* (* im im) -1/6) 1) im) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64))))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) #s(approx (* (* (* (+ (* 1/6 re) 1/2) im) re) re) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) re) re) im)))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (* (+ (* (* im im) -1/6) 1) im) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64))))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
(if (<=.f64 im #s(literal 16500000 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 re im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 re im))))
Outputs
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
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(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (* (+ (* (* im im) -1/6) 1) im) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64))))) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)))
(if (<=.f64 (*.f64 (sin.f64 im) (exp.f64 re)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (* (+ (* (* im im) -1/6) 1) im) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64))))) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (* (+ (* (* im im) -1/6) 1) im) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64))))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im))))
(if (<=.f64 (*.f64 (sin.f64 im) (exp.f64 re)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (* (+ (* (* im im) -1/6) 1) im) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64))))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re im))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (* (+ (* (* im im) -1/6) 1) im) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64))))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) (*.f64 (*.f64 (*.f64 (*.f64 re re) re) im) #s(literal 1/6 binary64)))))))
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(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (* (+ (* (* im im) -1/6) 1) im) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64))))) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)))
(if (<=.f64 (*.f64 (sin.f64 im) (exp.f64 re)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (* (+ (* (* im im) -1/6) 1) im) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64))))) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (* (+ (* (* im im) -1/6) 1) im) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64))))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) #s(approx (* (* (* (+ (* 1/6 re) 1/2) im) re) re) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) re) re) im)))))))
(if (<=.f64 (*.f64 (sin.f64 im) (exp.f64 re)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (* (+ (* (* im im) -1/6) 1) im) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64))))) (if (<=.f64 (*.f64 (sin.f64 im) (exp.f64 re)) #s(literal 1 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im re) #s(literal 1/2 binary64) im) re im))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) #s(approx (* (* (* (+ (* 1/6 re) 1/2) im) re) re) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) re) re) im)))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (* (+ (* (* im im) -1/6) 1) im) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64))))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) #s(approx (* (* (* (+ (* 1/6 re) 1/2) im) re) re) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) re) re) im)))))))
(if (<=.f64 (*.f64 (sin.f64 im) (exp.f64 re)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (* (+ (* (* im im) -1/6) 1) im) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64))))) (if (<=.f64 (*.f64 (sin.f64 im) (exp.f64 re)) #s(literal 1 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (* im (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) im) #s(approx (* (* (* (+ (* 1/6 re) 1/2) im) re) re) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) re) re) im)))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (* (+ (* (* im im) -1/6) 1) im) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64))))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im))))
(if (<=.f64 (*.f64 (sin.f64 im) (exp.f64 re)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (* (+ (* (* im im) -1/6) 1) im) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64))))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
(if (<=.f64 im #s(literal 16500000 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 re im)))))
(if (<=.f64 im #s(literal 16500000 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 im re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 re im))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 im re))))

soundness10.2s (61.5%)

Memory
-16.4MiB live, 1 442.6MiB allocated
Rules
20 212×lower-fma.f64
20 212×lower-fma.f32
19 578×lower-fma.f64
19 578×lower-fma.f32
18 716×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071297
1221286
2586274
31574268
42436268
53110268
63581268
73732268
84021268
95977268
08264246
03253652
110693518
237193387
081613057
01862774
15822646
218022574
348472542
083702294
034240
056240
1189240
21284240
08171240
01251727
14061664
211181618
339361588
472751588
080411437
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 2 230 to 800 computations (64.1% saved)

preprocess156.0ms (0.9%)

Memory
9.4MiB live, 328.6MiB allocated
Remove

(negabs im)

Compiler

Compiled 2 556 to 304 computations (88.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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