math.exp on complex, imaginary part

Time bar (total: 16.7s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 7 to 7 computations (0% saved)

sample948.0ms (5.7%)

Memory
11.0MiB live, 1 301.2MiB allocated
Samples
702.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 349.0ms
ival-sin: 205.0ms (58.8% of total)
ival-exp: 79.0ms (22.7% of total)
ival-mult: 56.0ms (16.1% of total)
ival-true: 6.0ms (1.7% of total)
ival-assert: 3.0ms (0.9% of total)
Bogosity

explain68.0ms (0.4%)

Memory
14.9MiB live, 133.1MiB 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
31.0ms512×0valid
Compiler

Compiled 33 to 19 computations (42.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-sin: 11.0ms (57.9% of total)
ival-exp: 4.0ms (21.1% of total)
ival-mult: 3.0ms (15.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess32.0ms (0.2%)

Memory
4.1MiB live, 71.1MiB allocated
Algorithm
egg-herbie
Rules
60×associate-*r*
52×unsub-neg
48×associate-*l*
42×distribute-lft-neg-in
38×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

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

(negabs im)

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.8MiB live, 1.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify3.0ms (0%)

Memory
8.4MiB live, 8.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize33.0ms (0.2%)

Memory
-19.0MiB live, 58.3MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(sin.f64 im)
accuracy0
(exp.f64 re)
accuracy0.00390625
(*.f64 (exp.f64 re) (sin.f64 im))
Samples
18.0ms256×0valid
Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-sin: 5.0ms (55.1% of total)
ival-exp: 2.0ms (22% of total)
ival-mult: 1.0ms (11% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0%)

Memory
7.8MiB live, 7.8MiB 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))

simplify312.0ms (1.9%)

Memory
-27.5MiB live, 383.8MiB allocated
Algorithm
egg-herbie
Rules
15 566×lower-fma.f64
15 566×lower-fma.f32
4 310×lower-*.f64
4 310×lower-*.f32
2 896×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite20.0ms (0.1%)

Memory
-7.4MiB live, 38.7MiB allocated
Rules
lower-*.f32
lift-sin.f64
lift-exp.f64
lower-*.f64
lower-sin.f32
Iterations

Useful iterations: 0 (0.0ms)

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

eval5.0ms (0%)

Memory
16.1MiB live, 16.1MiB allocated
Compiler

Compiled 393 to 47 computations (88% saved)

prune30.0ms (0.2%)

Memory
-17.6MiB live, 20.0MiB allocated
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New46551
Fresh000
Picked101
Done000
Total47552
Accuracy
100.0%
Counts
52 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.4%
(*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
58.7%
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im))
49.8%
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im))
68.3%
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))
49.7%
#s(approx (* (exp re) (sin im)) (sin.f64 im))
Compiler

Compiled 96 to 58 computations (39.6% saved)

simplify12.0ms (0.1%)

Memory
21.0MiB live, 21.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize91.0ms (0.5%)

Memory
-13.4MiB live, 143.3MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
accuracy0.06640625
(fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)
accuracy0.1875
(*.f64 #s(literal -1/6 binary64) (*.f64 im im))
accuracy31.67282279898223
#s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))
accuracy0
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
accuracy0
(sin.f64 im)
accuracy0.00390625
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im))
accuracy26.433035443311503
#s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
accuracy0
(+.f64 re #s(literal 1 binary64))
accuracy0
(sin.f64 im)
accuracy0.00390625
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im))
accuracy32.111970440270134
#s(approx (exp re) (+.f64 re #s(literal 1 binary64)))
accuracy0
(sin.f64 im)
accuracy32.220702576553094
#s(approx (* (exp re) (sin im)) (sin.f64 im))
accuracy0
(exp.f64 re)
accuracy0.00390625
(*.f64 im (exp.f64 re))
accuracy20.273188577763833
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))
Samples
48.0ms256×0valid
Compiler

Compiled 94 to 20 computations (78.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-mult: 10.0ms (32.2% of total)
ival-exp: 6.0ms (19.3% of total)
ival-sin: 6.0ms (19.3% of total)
ival-add: 5.0ms (16.1% of total)
const: 4.0ms (12.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series15.0ms (0.1%)

Memory
-4.3MiB live, 32.5MiB allocated
Counts
16 → 264
Calls
Call 1
Inputs
#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) #<representation binary64>) () ())
#s(alt (*.f64 im (exp.f64 re)) (patch (*.f64 im (exp.f64 re)) #<representation binary64>) () ())
#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())
#s(alt #s(approx (* (exp re) (sin im)) (sin.f64 im)) (patch #s(approx (* (exp re) (sin im)) (sin.f64 im)) #<representation binary64>) () ())
#s(alt (sin.f64 im) (patch (sin.f64 im) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())
#s(alt #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (patch #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 re #s(literal 1 binary64)) (patch (+.f64 re #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())
#s(alt #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (patch (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #<representation binary64>) () ())
#s(alt #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) #<representation binary64>) () ())
#s(alt (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (patch (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #<representation binary64>) () ())
Outputs
#s(alt (sin im) (taylor 0 re) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (sin im))) (taylor 0 re) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) (taylor 0 re) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im))))))) (taylor 0 re) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf re) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf re) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf re) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf re) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf re) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf re) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf re) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf re) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) #<representation binary64>) () ())) ())
#s(alt (* im (exp re)) (taylor 0 im) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) #<representation binary64>) () ())) ())
#s(alt (* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re))))) (taylor 0 im) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) #<representation binary64>) () ())) ())
#s(alt (* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re))))))) (taylor 0 im) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) #<representation binary64>) () ())) ())
#s(alt (* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re)))))))) (taylor 0 im) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf im) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf im) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf im) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf im) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) #<representation binary64>) () ())) ())
#s(alt (* im (exp re)) (taylor 0 im) (#s(alt (*.f64 im (exp.f64 re)) (patch (*.f64 im (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* im (exp re)) (taylor 0 im) (#s(alt (*.f64 im (exp.f64 re)) (patch (*.f64 im (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* im (exp re)) (taylor 0 im) (#s(alt (*.f64 im (exp.f64 re)) (patch (*.f64 im (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* im (exp re)) (taylor 0 im) (#s(alt (*.f64 im (exp.f64 re)) (patch (*.f64 im (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* im (exp re)) (taylor inf im) (#s(alt (*.f64 im (exp.f64 re)) (patch (*.f64 im (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* im (exp re)) (taylor inf im) (#s(alt (*.f64 im (exp.f64 re)) (patch (*.f64 im (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* im (exp re)) (taylor inf im) (#s(alt (*.f64 im (exp.f64 re)) (patch (*.f64 im (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* im (exp re)) (taylor inf im) (#s(alt (*.f64 im (exp.f64 re)) (patch (*.f64 im (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* im (exp re)) (taylor -inf im) (#s(alt (*.f64 im (exp.f64 re)) (patch (*.f64 im (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* im (exp re)) (taylor -inf im) (#s(alt (*.f64 im (exp.f64 re)) (patch (*.f64 im (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* im (exp re)) (taylor -inf im) (#s(alt (*.f64 im (exp.f64 re)) (patch (*.f64 im (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* im (exp re)) (taylor -inf im) (#s(alt (*.f64 im (exp.f64 re)) (patch (*.f64 im (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt im (taylor 0 re) (#s(alt (*.f64 im (exp.f64 re)) (patch (*.f64 im (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (+ im (* im re)) (taylor 0 re) (#s(alt (*.f64 im (exp.f64 re)) (patch (*.f64 im (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (+ im (* re (+ im (* 1/2 (* im re))))) (taylor 0 re) (#s(alt (*.f64 im (exp.f64 re)) (patch (*.f64 im (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im)))))) (taylor 0 re) (#s(alt (*.f64 im (exp.f64 re)) (patch (*.f64 im (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* im (exp re)) (taylor inf re) (#s(alt (*.f64 im (exp.f64 re)) (patch (*.f64 im (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* im (exp re)) (taylor inf re) (#s(alt (*.f64 im (exp.f64 re)) (patch (*.f64 im (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* im (exp re)) (taylor inf re) (#s(alt (*.f64 im (exp.f64 re)) (patch (*.f64 im (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* im (exp re)) (taylor inf re) (#s(alt (*.f64 im (exp.f64 re)) (patch (*.f64 im (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* im (exp re)) (taylor -inf re) (#s(alt (*.f64 im (exp.f64 re)) (patch (*.f64 im (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* im (exp re)) (taylor -inf re) (#s(alt (*.f64 im (exp.f64 re)) (patch (*.f64 im (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* im (exp re)) (taylor -inf re) (#s(alt (*.f64 im (exp.f64 re)) (patch (*.f64 im (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* im (exp re)) (taylor -inf re) (#s(alt (*.f64 im (exp.f64 re)) (patch (*.f64 im (exp.f64 re)) #<representation binary64>) () ())) ())
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#s(alt (+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im))))))) (taylor 0 re) (#s(alt (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (patch (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf re) (#s(alt (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (patch (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf re) (#s(alt (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (patch (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf re) (#s(alt (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (patch (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf re) (#s(alt (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (patch (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf re) (#s(alt (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (patch (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf re) (#s(alt (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (patch (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf re) (#s(alt (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (patch (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf re) (#s(alt (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (patch (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #<representation binary64>) () ())) ())
#s(alt (* im (exp re)) (taylor 0 im) (#s(alt (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (patch (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #<representation binary64>) () ())) ())
#s(alt (* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re))))) (taylor 0 im) (#s(alt (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (patch (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #<representation binary64>) () ())) ())
#s(alt (* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re))))))) (taylor 0 im) (#s(alt (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (patch (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #<representation binary64>) () ())) ())
#s(alt (* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re)))))))) (taylor 0 im) (#s(alt (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (patch (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf im) (#s(alt (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (patch (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf im) (#s(alt (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (patch (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf im) (#s(alt (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (patch (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf im) (#s(alt (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (patch (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (patch (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (patch (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (patch (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (patch (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #<representation binary64>) () ())) ())
#s(alt im (taylor 0 im) (#s(alt #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) #<representation binary64>) () ())) ())
#s(alt (* im (+ 1 (* -1/6 (pow im 2)))) (taylor 0 im) (#s(alt #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) #<representation binary64>) () ())) ())
#s(alt (* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6)))) (taylor 0 im) (#s(alt #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) #<representation binary64>) () ())) ())
#s(alt (* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)))) (taylor 0 im) (#s(alt #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor inf im) (#s(alt #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor inf im) (#s(alt #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor inf im) (#s(alt #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor inf im) (#s(alt #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor -inf im) (#s(alt #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor -inf im) (#s(alt #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor -inf im) (#s(alt #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor -inf im) (#s(alt #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) #<representation binary64>) () ())) ())
#s(alt im (taylor 0 im) (#s(alt (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (patch (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) #<representation binary64>) () ())) ())
#s(alt (* im (+ 1 (* -1/6 (pow im 2)))) (taylor 0 im) (#s(alt (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (patch (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) #<representation binary64>) () ())) ())
#s(alt (* im (+ 1 (* -1/6 (pow im 2)))) (taylor 0 im) (#s(alt (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (patch (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) #<representation binary64>) () ())) ())
#s(alt (* im (+ 1 (* -1/6 (pow im 2)))) (taylor 0 im) (#s(alt (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (patch (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow im 3)) (taylor inf im) (#s(alt (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (patch (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) #<representation binary64>) () ())) ())
#s(alt (* (pow im 3) (- (/ 1 (pow im 2)) 1/6)) (taylor inf im) (#s(alt (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (patch (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) #<representation binary64>) () ())) ())
#s(alt (* (pow im 3) (- (/ 1 (pow im 2)) 1/6)) (taylor inf im) (#s(alt (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (patch (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) #<representation binary64>) () ())) ())
#s(alt (* (pow im 3) (- (/ 1 (pow im 2)) 1/6)) (taylor inf im) (#s(alt (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (patch (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow im 3)) (taylor -inf im) (#s(alt (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (patch (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow im 3) (- 1/6 (/ 1 (pow im 2))))) (taylor -inf im) (#s(alt (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (patch (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow im 3) (- 1/6 (/ 1 (pow im 2))))) (taylor -inf im) (#s(alt (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (patch (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow im 3) (- 1/6 (/ 1 (pow im 2))))) (taylor -inf im) (#s(alt (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (patch (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow im 2)) (taylor 0 im) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow im 2)) (taylor 0 im) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow im 2)) (taylor 0 im) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow im 2)) (taylor 0 im) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow im 2)) (taylor inf im) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow im 2)) (taylor inf im) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow im 2)) (taylor inf im) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow im 2)) (taylor inf im) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow im 2)) (taylor -inf im) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow im 2)) (taylor -inf im) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow im 2)) (taylor -inf im) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow im 2)) (taylor -inf im) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #<representation binary64>) () ())) ())
Calls

66 calls:

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

simplify333.0ms (2%)

Memory
40.3MiB live, 438.0MiB allocated
Algorithm
egg-herbie
Rules
17 002×lower-fma.f64
17 002×lower-fma.f32
4 954×lower-*.f64
4 954×lower-*.f32
2 780×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite298.0ms (1.8%)

Memory
10.5MiB live, 558.8MiB allocated
Rules
7 944×lower-fma.f32
7 938×lower-fma.f64
4 568×lower-*.f32
4 556×lower-*.f64
2 692×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025116
042116
1112113
2637113
36265113
08091110
Stop Event
iter limit
node limit
iter limit
Counts
16 → 367
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))
(*.f64 im (exp.f64 re))
(exp.f64 re)
#s(approx (* (exp re) (sin im)) (sin.f64 im))
(sin.f64 im)
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (exp re) (+.f64 re #s(literal 1 binary64)))
(+.f64 re #s(literal 1 binary64))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im))
#s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))
(fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)
(*.f64 #s(literal -1/6 binary64) (*.f64 im im))
Outputs
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))
(*.f64 im (exp.f64 re))
(*.f64 (exp.f64 re) im)
(exp.f64 re)
(exp.f64 (*.f64 (log.f64 (exp.f64 re)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1 binary64))) re))
(pow.f64 (exp.f64 re) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) re)
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 1 binary64)) re)
#s(approx (* (exp re) (sin im)) (sin.f64 im))
(sin.f64 im)
(*.f64 (sin.f64 im) #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (exp re) (+.f64 re #s(literal 1 binary64)))
(+.f64 re #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) re)
(+.f64 (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) re)) (/.f64 (*.f64 re re) (-.f64 #s(literal 1 binary64) re)))
(fma.f64 re #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 re (/.f64 re (+.f64 re #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64))
(fma.f64 (*.f64 re re) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))))
(fma.f64 (/.f64 (*.f64 re re) (fma.f64 re re #s(literal -1 binary64))) (+.f64 re #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))))
(fma.f64 (/.f64 (*.f64 re re) (fma.f64 re (*.f64 re re) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 re re re)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))))
(neg.f64 (/.f64 (fma.f64 re (*.f64 re re) #s(literal 1 binary64)) (neg.f64 (fma.f64 re re (-.f64 #s(literal 1 binary64) re)))))
(neg.f64 (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) re)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 re (*.f64 re re) #s(literal 1 binary64))) (fma.f64 re re (-.f64 #s(literal 1 binary64) re))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 re re #s(literal -1 binary64))) (+.f64 re #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) re) (-.f64 #s(literal 1 binary64) (*.f64 re re))))
(/.f64 (fma.f64 re (*.f64 re re) #s(literal 1 binary64)) (fma.f64 re re (-.f64 #s(literal 1 binary64) re)))
(/.f64 (fma.f64 re re #s(literal -1 binary64)) (+.f64 re #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 re (*.f64 re re) #s(literal 1 binary64))) (neg.f64 (fma.f64 re re (-.f64 #s(literal 1 binary64) re))))
(/.f64 (neg.f64 (fma.f64 re re #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) re))
(/.f64 (fma.f64 (*.f64 re (*.f64 re re)) (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) #s(literal 1 binary64)) (*.f64 (fma.f64 re re (-.f64 #s(literal 1 binary64) re)) (-.f64 (fma.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re)) #s(literal 1 binary64)) (*.f64 re (*.f64 re re)))))
(/.f64 (fma.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re)) #s(literal -1 binary64)) (*.f64 (fma.f64 re re (-.f64 #s(literal 1 binary64) re)) (fma.f64 re (*.f64 re re) #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re)) #s(literal -1 binary64)) (*.f64 (+.f64 re #s(literal -1 binary64)) (fma.f64 re (*.f64 re (*.f64 re re)) (fma.f64 re re #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (-.f64 #s(literal 1 binary64) re))
(/.f64 (fma.f64 re (*.f64 re (*.f64 re re)) #s(literal -1 binary64)) (*.f64 (+.f64 re #s(literal -1 binary64)) (fma.f64 re re #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64))) (*.f64 (+.f64 re #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 re #s(literal -1 binary64)) (+.f64 re #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 re (*.f64 re re)) (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re)) #s(literal 1 binary64)) (*.f64 re (*.f64 re re))) (fma.f64 re re (-.f64 #s(literal 1 binary64) re))))
(/.f64 (*.f64 (fma.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 re (*.f64 re re) #s(literal -1 binary64)) (fma.f64 re re (-.f64 #s(literal 1 binary64) re))))
(/.f64 (*.f64 (fma.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 re (*.f64 re (*.f64 re re)) (fma.f64 re re #s(literal 1 binary64))) (+.f64 re #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 re (*.f64 re (*.f64 re re)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 re re #s(literal 1 binary64)) (+.f64 re #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re))) (neg.f64 (-.f64 #s(literal 1 binary64) re)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 re (*.f64 re re) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 re re (-.f64 #s(literal 1 binary64) re)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 re re #s(literal -1 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) re)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 re #s(literal -1 binary64)) #s(literal -3 binary64))) (fma.f64 (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64))) (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))))))
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(/.f64 (*.f64 (fma.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im im) (*.f64 im (*.f64 im (*.f64 im im)))) (pow.f64 (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 im)) (*.f64 im im)))) (fma.f64 (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/216 binary64)))) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/216 binary64)))) (*.f64 (*.f64 im (*.f64 im im)) (-.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/216 binary64))))))))
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (*.f64 im (*.f64 im im))) (-.f64 (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/216 binary64)))) (*.f64 im (*.f64 im im)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 im)) (*.f64 im im)))) (-.f64 (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/216 binary64)))) (*.f64 im (*.f64 im im))))
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (*.f64 im (*.f64 im im))) (-.f64 (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/216 binary64)))) (*.f64 im (*.f64 im im)))) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 im)))) (fma.f64 (*.f64 im im) (*.f64 (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/36 binary64))) (*.f64 (*.f64 im (*.f64 im (*.f64 im im))) (*.f64 (*.f64 im im) #s(literal 1/36 binary64)))) (*.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im im) #s(literal 1/36 binary64)) im)))))
(/.f64 (*.f64 (*.f64 (*.f64 im (fma.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im im) #s(literal 1/36 binary64)) im)) (*.f64 im (fma.f64 im (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/36 binary64))) (neg.f64 im)))) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 im)))) (*.f64 im (fma.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im im) #s(literal 1/36 binary64)) im)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 im (*.f64 (*.f64 im (*.f64 im im)) #s(literal 1/6 binary64))) (*.f64 im (-.f64 im (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im im) #s(literal 1/36 binary64)))))) #s(literal -1 binary64))
(*.f64 im (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))
(*.f64 (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (*.f64 (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 im)) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 im)))))
(*.f64 (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (/.f64 (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 im)) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 im))))
(*.f64 (*.f64 (fma.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (*.f64 im (*.f64 im im))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 im)) (*.f64 im im))))
(*.f64 (fma.f64 (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 im)) (*.f64 im im)) (*.f64 (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 im)) (*.f64 im im)))))
(*.f64 (fma.f64 (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 im)) (*.f64 im im)) (/.f64 (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (fma.f64 (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 im)) (*.f64 im im))))
(*.f64 (*.f64 im (fma.f64 im (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/36 binary64))) (neg.f64 im))) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 im))))
(*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (*.f64 im (*.f64 im im)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 im)) (*.f64 im im)))))
(*.f64 (neg.f64 (*.f64 im (fma.f64 im (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/36 binary64))) (neg.f64 im)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im (*.f64 im im)) #s(literal 1/6 binary64) (neg.f64 (neg.f64 im)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 im)) (*.f64 im im))) (*.f64 (fma.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (*.f64 im (*.f64 im im))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 im))) (*.f64 im (fma.f64 im (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/36 binary64))) (neg.f64 im))))
(*.f64 (*.f64 im (-.f64 im (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im im) #s(literal 1/36 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 im (*.f64 (*.f64 im (*.f64 im im)) #s(literal 1/6 binary64)))))
(*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)
(*.f64 (/.f64 (*.f64 im (fma.f64 im (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/36 binary64))) (neg.f64 im))) (*.f64 im (fma.f64 im (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/36 binary64))) (neg.f64 im)))) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (*.f64 im (*.f64 im im))) (fma.f64 (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/216 binary64)))) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/216 binary64)))) (*.f64 (*.f64 im (+.f64 im (*.f64 (*.f64 im (*.f64 im im)) #s(literal 1/6 binary64)))) (*.f64 (*.f64 im (+.f64 im (*.f64 (*.f64 im (*.f64 im im)) #s(literal 1/6 binary64)))) (*.f64 im (+.f64 im (*.f64 (*.f64 im (*.f64 im im)) #s(literal 1/6 binary64)))))))) (fma.f64 im (*.f64 (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im im) #s(literal 1/36 binary64))) (*.f64 (*.f64 im (*.f64 im (*.f64 im im))) (*.f64 (*.f64 im im) #s(literal 1/36 binary64)))) (*.f64 (*.f64 im (+.f64 im (*.f64 (*.f64 im (*.f64 im im)) #s(literal 1/6 binary64)))) (-.f64 (*.f64 im (+.f64 im (*.f64 (*.f64 im (*.f64 im im)) #s(literal 1/6 binary64)))) (*.f64 (*.f64 im (*.f64 im (*.f64 im im))) (*.f64 (*.f64 im im) #s(literal 1/36 binary64)))))))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (*.f64 im (*.f64 im im))) (*.f64 (fma.f64 (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 im)) (*.f64 im im)) (*.f64 im (-.f64 (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im im) #s(literal 1/36 binary64))) (+.f64 im (*.f64 (*.f64 im (*.f64 im im)) #s(literal 1/6 binary64))))))) (*.f64 im (-.f64 (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im im) #s(literal 1/36 binary64))) (+.f64 im (*.f64 (*.f64 im (*.f64 im im)) #s(literal 1/6 binary64))))))
(*.f64 (/.f64 (*.f64 im (fma.f64 im (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/36 binary64))) (neg.f64 im))) (-.f64 (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/216 binary64)))) (*.f64 im (*.f64 im im)))) (fma.f64 im (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (*.f64 (*.f64 im (*.f64 im (*.f64 im im))) (*.f64 (*.f64 im im) #s(literal 1/36 binary64)))))
(*.f64 im (*.f64 im #s(literal -1/6 binary64)))
(*.f64 #s(literal -1/6 binary64) (*.f64 im im))
(*.f64 (*.f64 im im) #s(literal -1/6 binary64))
(*.f64 (*.f64 im #s(literal -1/6 binary64)) im)

eval84.0ms (0.5%)

Memory
-19.9MiB live, 208.7MiB allocated
Compiler

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

prune81.0ms (0.5%)

Memory
1.5MiB live, 197.7MiB allocated
Pruning

21 alts after pruning (19 fresh and 2 done)

PrunedKeptTotal
New64819667
Fresh000
Picked325
Done000
Total65121672
Accuracy
100.0%
Counts
672 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.6%
(*.f64 (exp.f64 re) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64)))))))
41.1%
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
39.6%
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
39.9%
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
35.2%
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
33.7%
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
33.7%
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
35.1%
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
33.3%
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
68.3%
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))
35.1%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
32.6%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
27.7%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))))
27.0%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
49.7%
#s(approx (* (exp re) (sin im)) (sin.f64 im))
30.8%
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)))
34.1%
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
27.7%
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
33.3%
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
34.0%
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
29.3%
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
Compiler

Compiled 646 to 349 computations (46% saved)

simplify27.0ms (0.2%)

Memory
13.6MiB live, 50.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
cost-diff0
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff0
#s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
cost-diff0
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff0
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
cost-diff0
(*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
cost-diff0
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
cost-diff0
(*.f64 im re)
cost-diff0
(fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)
cost-diff0
#s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im))
cost-diff0
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)))
cost-diff0
#s(approx (exp re) #s(literal 1 binary64))
cost-diff0
(*.f64 im #s(approx (exp re) #s(literal 1 binary64)))
cost-diff0
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
cost-diff0
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
cost-diff0
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff0
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
Rules
640×lower-fma.f32
626×lower-fma.f64
416×lower-*.f32
398×lower-*.f64
188×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036320
061320
1117320
2218314
3373314
4491314
5527314
6539314
7539314
8545314
9545314
0545308
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
re
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))
(fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)
im
(*.f64 #s(literal -1/6 binary64) (*.f64 im im))
#s(literal -1/6 binary64)
(*.f64 im im)
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
(*.f64 im #s(approx (exp re) #s(literal 1 binary64)))
im
#s(approx (exp re) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)))
#s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im))
(fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)
(*.f64 im re)
im
re
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
im
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
re
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
re
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im))
(fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)
im
(*.f64 im (*.f64 im #s(literal -1/6 binary64)))
(*.f64 im #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
Outputs
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
re
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))
#s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im))
(fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)
(fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)
im
(*.f64 #s(literal -1/6 binary64) (*.f64 im im))
(*.f64 im (*.f64 im #s(literal -1/6 binary64)))
#s(literal -1/6 binary64)
(*.f64 im im)
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
(*.f64 im #s(approx (exp re) #s(literal 1 binary64)))
im
#s(approx (exp re) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im)))
#s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im))
#s(approx (* im (exp re)) (fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im))
(fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)
(fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im)
(*.f64 im re)
(*.f64 re im)
im
re
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) im))
(*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) im)
im
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
re
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
re
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im))
(fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)
im
(*.f64 im (*.f64 im #s(literal -1/6 binary64)))
(*.f64 im #s(literal -1/6 binary64))
#s(literal -1/6 binary64)

localize175.0ms (1.1%)

Memory
-12.1MiB live, 233.7MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.1328125
(*.f64 im (*.f64 im #s(literal -1/6 binary64)))
accuracy0.3125
(*.f64 im #s(literal -1/6 binary64))
accuracy26.433035443311503
#s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
accuracy31.67282279898223
#s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im))
accuracy0.06640625
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
accuracy0.1640625
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
accuracy20.273188577763833
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
accuracy23.814053058631306
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
accuracy0
(*.f64 im re)
accuracy0.0546875
(fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)
accuracy20.273188577763833
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)))
accuracy25.65288810005312
#s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im))
accuracy0.00390625
(*.f64 im #s(approx (exp re) #s(literal 1 binary64)))
accuracy20.273188577763833
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
accuracy32.42896187818299
#s(approx (exp re) #s(literal 1 binary64))
accuracy0.1640625
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
accuracy0.1875
(*.f64 #s(literal -1/6 binary64) (*.f64 im im))
accuracy23.814053058631306
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
accuracy31.67282279898223
#s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))
Samples
69.0ms256×0valid
Compiler

Compiled 194 to 33 computations (83% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-mult: 21.0ms (47.4% of total)
ival-add: 9.0ms (20.3% of total)
const: 6.0ms (13.5% of total)
ival-sin: 6.0ms (13.5% of total)
ival-exp: 2.0ms (4.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series24.0ms (0.1%)

Memory
8.3MiB live, 44.6MiB allocated
Counts
23 → 396
Calls
Call 1
Inputs
#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #<representation binary64>) () ())
#s(alt #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 im #s(approx (exp re) #s(literal 1 binary64))) (patch (*.f64 im #s(approx (exp re) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (exp re) #s(literal 1 binary64)) (patch #s(approx (exp re) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im))) (patch #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im))) #<representation binary64>) () ())
#s(alt #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)) (patch #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im) (patch (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im) #<representation binary64>) () ())
#s(alt (*.f64 im re) (patch (*.f64 im re) #<representation binary64>) () ())
#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (patch (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im))) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im))) #<representation binary64>) () ())
#s(alt #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #<representation binary64>) () ())
#s(alt (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)) #<representation binary64>) () ())
#s(alt (*.f64 im #s(literal -1/6 binary64)) (patch (*.f64 im #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 im (*.f64 im #s(literal -1/6 binary64))) (patch (*.f64 im (*.f64 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 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (sin im))) (taylor 0 re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) (taylor 0 re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #<representation binary64>) () ())) ())
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#s(alt im (taylor 0 im) (#s(alt #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) #<representation binary64>) () ())) ())
#s(alt (* im (+ 1 (* -1/6 (pow im 2)))) (taylor 0 im) (#s(alt #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) #<representation binary64>) () ())) ())
#s(alt (* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6)))) (taylor 0 im) (#s(alt #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) #<representation binary64>) () ())) ())
#s(alt (* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)))) (taylor 0 im) (#s(alt #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor inf im) (#s(alt #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor inf im) (#s(alt #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor inf im) (#s(alt #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor inf im) (#s(alt #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor -inf im) (#s(alt #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor -inf im) (#s(alt #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor -inf im) (#s(alt #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor -inf im) (#s(alt #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow im 2)) (taylor 0 im) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow im 2)) (taylor 0 im) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow im 2)) (taylor 0 im) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow im 2)) (taylor 0 im) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow im 2)) (taylor inf im) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow im 2)) (taylor inf im) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow im 2)) (taylor inf im) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow im 2)) (taylor inf im) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow im 2)) (taylor -inf im) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow im 2)) (taylor -inf im) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow im 2)) (taylor -inf im) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow im 2)) (taylor -inf im) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 re) (#s(alt (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 re)) (taylor 0 re) (#s(alt (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 re)) (taylor 0 re) (#s(alt (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 re)) (taylor 0 re) (#s(alt (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 re) (taylor inf re) (#s(alt (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1/6 (* 1/2 (/ 1 re)))) (taylor inf re) (#s(alt (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1/6 (* 1/2 (/ 1 re)))) (taylor inf re) (#s(alt (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1/6 (* 1/2 (/ 1 re)))) (taylor inf re) (#s(alt (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 re) (taylor -inf re) (#s(alt (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1/6 (* 1/2 (/ 1 re)))) (taylor -inf re) (#s(alt (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1/6 (* 1/2 (/ 1 re)))) (taylor -inf re) (#s(alt (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1/6 (* 1/2 (/ 1 re)))) (taylor -inf re) (#s(alt (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt im (taylor 0 im) (#s(alt #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)) #<representation binary64>) () ())) ())
#s(alt (* im (+ 1 (* -1/6 (pow im 2)))) (taylor 0 im) (#s(alt #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 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) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 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) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor inf im) (#s(alt #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor inf im) (#s(alt #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor inf im) (#s(alt #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor inf im) (#s(alt #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor -inf im) (#s(alt #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor -inf im) (#s(alt #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor -inf im) (#s(alt #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor -inf im) (#s(alt #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 im) (taylor 0 im) (#s(alt (*.f64 im #s(literal -1/6 binary64)) (patch (*.f64 im #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 im) (taylor 0 im) (#s(alt (*.f64 im #s(literal -1/6 binary64)) (patch (*.f64 im #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 im) (taylor 0 im) (#s(alt (*.f64 im #s(literal -1/6 binary64)) (patch (*.f64 im #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 im) (taylor 0 im) (#s(alt (*.f64 im #s(literal -1/6 binary64)) (patch (*.f64 im #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 im) (taylor inf im) (#s(alt (*.f64 im #s(literal -1/6 binary64)) (patch (*.f64 im #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 im) (taylor inf im) (#s(alt (*.f64 im #s(literal -1/6 binary64)) (patch (*.f64 im #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 im) (taylor inf im) (#s(alt (*.f64 im #s(literal -1/6 binary64)) (patch (*.f64 im #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 im) (taylor inf im) (#s(alt (*.f64 im #s(literal -1/6 binary64)) (patch (*.f64 im #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 im) (taylor -inf im) (#s(alt (*.f64 im #s(literal -1/6 binary64)) (patch (*.f64 im #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 im) (taylor -inf im) (#s(alt (*.f64 im #s(literal -1/6 binary64)) (patch (*.f64 im #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 im) (taylor -inf im) (#s(alt (*.f64 im #s(literal -1/6 binary64)) (patch (*.f64 im #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 im) (taylor -inf im) (#s(alt (*.f64 im #s(literal -1/6 binary64)) (patch (*.f64 im #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow im 2)) (taylor 0 im) (#s(alt (*.f64 im (*.f64 im #s(literal -1/6 binary64))) (patch (*.f64 im (*.f64 im #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow im 2)) (taylor 0 im) (#s(alt (*.f64 im (*.f64 im #s(literal -1/6 binary64))) (patch (*.f64 im (*.f64 im #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow im 2)) (taylor 0 im) (#s(alt (*.f64 im (*.f64 im #s(literal -1/6 binary64))) (patch (*.f64 im (*.f64 im #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow im 2)) (taylor 0 im) (#s(alt (*.f64 im (*.f64 im #s(literal -1/6 binary64))) (patch (*.f64 im (*.f64 im #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow im 2)) (taylor inf im) (#s(alt (*.f64 im (*.f64 im #s(literal -1/6 binary64))) (patch (*.f64 im (*.f64 im #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow im 2)) (taylor inf im) (#s(alt (*.f64 im (*.f64 im #s(literal -1/6 binary64))) (patch (*.f64 im (*.f64 im #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow im 2)) (taylor inf im) (#s(alt (*.f64 im (*.f64 im #s(literal -1/6 binary64))) (patch (*.f64 im (*.f64 im #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow im 2)) (taylor inf im) (#s(alt (*.f64 im (*.f64 im #s(literal -1/6 binary64))) (patch (*.f64 im (*.f64 im #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow im 2)) (taylor -inf im) (#s(alt (*.f64 im (*.f64 im #s(literal -1/6 binary64))) (patch (*.f64 im (*.f64 im #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow im 2)) (taylor -inf im) (#s(alt (*.f64 im (*.f64 im #s(literal -1/6 binary64))) (patch (*.f64 im (*.f64 im #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow im 2)) (taylor -inf im) (#s(alt (*.f64 im (*.f64 im #s(literal -1/6 binary64))) (patch (*.f64 im (*.f64 im #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow im 2)) (taylor -inf im) (#s(alt (*.f64 im (*.f64 im #s(literal -1/6 binary64))) (patch (*.f64 im (*.f64 im #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
Calls

99 calls:

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

simplify268.0ms (1.6%)

Memory
51.7MiB live, 415.0MiB allocated
Algorithm
egg-herbie
Rules
11 996×lower-fma.f64
11 996×lower-fma.f32
3 340×lower-*.f64
3 340×lower-*.f32
2 606×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01452413
14742350
213602295
335592280
467402280
082682077
Stop Event
iter limit
node limit
Counts
396 → 390
Calls
Call 1
Inputs
(sin im)
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* im (exp re))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))
1
(+ 1 (* 1/2 re))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
(* 1/6 (pow re 2))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* 1/6 (pow re 2))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(sin im)
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* im (exp re))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
im
(+ im (* im re))
(+ im (* re (+ im (* 1/2 (* im re)))))
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(sin im)
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* im (exp re))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
im
(+ im (* im re))
(+ im (* re (+ im (* 1/2 (* im re)))))
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (+ 1 (* re (+ 1 (* 1/2 re)))))
(* im (+ 1 (* re (+ 1 (* 1/2 re)))))
(* im (+ 1 (* re (+ 1 (* 1/2 re)))))
(* im (+ 1 (* re (+ 1 (* 1/2 re)))))
(* im (+ 1 (* re (+ 1 (* 1/2 re)))))
(* im (+ 1 (* re (+ 1 (* 1/2 re)))))
(* im (+ 1 (* re (+ 1 (* 1/2 re)))))
(* im (+ 1 (* re (+ 1 (* 1/2 re)))))
(* -1 (* im (- (* -1 (* re (+ 1 (* 1/2 re)))) 1)))
(* -1 (* im (- (* -1 (* re (+ 1 (* 1/2 re)))) 1)))
(* -1 (* im (- (* -1 (* re (+ 1 (* 1/2 re)))) 1)))
(* -1 (* im (- (* -1 (* re (+ 1 (* 1/2 re)))) 1)))
im
(+ im (* im re))
(+ im (* re (+ im (* 1/2 (* im re)))))
(+ im (* re (+ im (* 1/2 (* im re)))))
(* 1/2 (* im (pow re 2)))
(* (pow re 2) (+ (* 1/2 im) (/ im re)))
(* (pow re 2) (+ (* 1/2 im) (+ (/ im re) (/ im (pow re 2)))))
(* (pow re 2) (+ (* 1/2 im) (+ (/ im re) (/ im (pow re 2)))))
(* 1/2 (* im (pow re 2)))
(* (pow re 2) (+ (* 1/2 im) (/ im re)))
(* (pow re 2) (+ (* -1 (/ (+ (* -1 im) (* -1 (/ im re))) re)) (* 1/2 im)))
(* (pow re 2) (+ (* -1 (/ (+ (* -1 im) (* -1 (/ im re))) re)) (* 1/2 im)))
(* im re)
(* im re)
(* im re)
(* im re)
(* im re)
(* im re)
(* im re)
(* im re)
(* im re)
(* im re)
(* im re)
(* im re)
(* im re)
(* im re)
(* im re)
(* im re)
(* im re)
(* im re)
(* im re)
(* im re)
(* im re)
(* im re)
(* im re)
(* im re)
(sin im)
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* im (exp re))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
im
(+ im (* im re))
(+ im (* re (+ im (* 1/2 (* im re)))))
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(sin im)
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* im (exp re))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
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)))
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)
(* -1/6 (pow im 2))
(* -1/6 (pow im 2))
(* -1/6 (pow im 2))
(* -1/6 (pow im 2))
(* -1/6 (pow im 2))
(* -1/6 (pow im 2))
(* -1/6 (pow im 2))
(* -1/6 (pow im 2))
(* -1/6 (pow im 2))
(* -1/6 (pow im 2))
(* -1/6 (pow im 2))
(* -1/6 (pow im 2))
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))))
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)
(* -1/6 im)
(* -1/6 im)
(* -1/6 im)
(* -1/6 im)
(* -1/6 im)
(* -1/6 im)
(* -1/6 im)
(* -1/6 im)
(* -1/6 im)
(* -1/6 im)
(* -1/6 im)
(* -1/6 im)
(* -1/6 (pow im 2))
(* -1/6 (pow im 2))
(* -1/6 (pow im 2))
(* -1/6 (pow im 2))
(* -1/6 (pow im 2))
(* -1/6 (pow im 2))
(* -1/6 (pow im 2))
(* -1/6 (pow im 2))
(* -1/6 (pow im 2))
(* -1/6 (pow im 2))
(* -1/6 (pow im 2))
(* -1/6 (pow im 2))
Outputs
(sin im)
(sin.f64 im)
(+ (sin im) (* re (sin im)))
(*.f64 (sin.f64 im) (+.f64 re #s(literal 1 binary64)))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(*.f64 (sin.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(fma.f64 re (*.f64 (sin.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(*.f64 (exp.f64 re) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(*.f64 im (*.f64 (exp.f64 re) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(*.f64 im (fma.f64 (*.f64 im im) (*.f64 (exp.f64 re) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (exp.f64 re)))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 re #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 re #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(* 1/6 (pow re 3))
(*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64))))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(* 1/6 (pow re 3))
(*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64))))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 re))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/6 (pow re 2))
(*.f64 re (*.f64 re #s(literal 1/6 binary64)))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/6 (pow re 2))
(*.f64 re (*.f64 re #s(literal 1/6 binary64)))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(sin im)
(sin.f64 im)
(+ (sin im) (* re (sin im)))
(*.f64 (sin.f64 im) (+.f64 re #s(literal 1 binary64)))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(*.f64 (sin.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(fma.f64 re (*.f64 (sin.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(*.f64 (exp.f64 re) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(*.f64 im (*.f64 (exp.f64 re) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(*.f64 im (fma.f64 (*.f64 im im) (*.f64 (exp.f64 re) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (exp.f64 re)))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
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(fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) im)
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(fma.f64 (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)
(sin im)
(sin.f64 im)
(sin im)
(sin.f64 im)
(sin im)
(sin.f64 im)
(sin im)
(sin.f64 im)
(sin im)
(sin.f64 im)
(sin im)
(sin.f64 im)
(sin im)
(sin.f64 im)
(sin im)
(sin.f64 im)
(* -1/6 (pow im 2))
(*.f64 im (*.f64 im #s(literal -1/6 binary64)))
(* -1/6 (pow im 2))
(*.f64 im (*.f64 im #s(literal -1/6 binary64)))
(* -1/6 (pow im 2))
(*.f64 im (*.f64 im #s(literal -1/6 binary64)))
(* -1/6 (pow im 2))
(*.f64 im (*.f64 im #s(literal -1/6 binary64)))
(* -1/6 (pow im 2))
(*.f64 im (*.f64 im #s(literal -1/6 binary64)))
(* -1/6 (pow im 2))
(*.f64 im (*.f64 im #s(literal -1/6 binary64)))
(* -1/6 (pow im 2))
(*.f64 im (*.f64 im #s(literal -1/6 binary64)))
(* -1/6 (pow im 2))
(*.f64 im (*.f64 im #s(literal -1/6 binary64)))
(* -1/6 (pow im 2))
(*.f64 im (*.f64 im #s(literal -1/6 binary64)))
(* -1/6 (pow im 2))
(*.f64 im (*.f64 im #s(literal -1/6 binary64)))
(* -1/6 (pow im 2))
(*.f64 im (*.f64 im #s(literal -1/6 binary64)))
(* -1/6 (pow im 2))
(*.f64 im (*.f64 im #s(literal -1/6 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 re))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 re))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 re))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* 1/6 re)
(*.f64 re #s(literal 1/6 binary64))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* 1/6 re)
(*.f64 re #s(literal 1/6 binary64))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
im
(* im (+ 1 (* -1/6 (pow im 2))))
(fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))
(fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) im)
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(fma.f64 (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)
(sin im)
(sin.f64 im)
(sin im)
(sin.f64 im)
(sin im)
(sin.f64 im)
(sin im)
(sin.f64 im)
(sin im)
(sin.f64 im)
(sin im)
(sin.f64 im)
(sin im)
(sin.f64 im)
(sin im)
(sin.f64 im)
(* -1/6 im)
(*.f64 im #s(literal -1/6 binary64))
(* -1/6 im)
(*.f64 im #s(literal -1/6 binary64))
(* -1/6 im)
(*.f64 im #s(literal -1/6 binary64))
(* -1/6 im)
(*.f64 im #s(literal -1/6 binary64))
(* -1/6 im)
(*.f64 im #s(literal -1/6 binary64))
(* -1/6 im)
(*.f64 im #s(literal -1/6 binary64))
(* -1/6 im)
(*.f64 im #s(literal -1/6 binary64))
(* -1/6 im)
(*.f64 im #s(literal -1/6 binary64))
(* -1/6 im)
(*.f64 im #s(literal -1/6 binary64))
(* -1/6 im)
(*.f64 im #s(literal -1/6 binary64))
(* -1/6 im)
(*.f64 im #s(literal -1/6 binary64))
(* -1/6 im)
(*.f64 im #s(literal -1/6 binary64))
(* -1/6 (pow im 2))
(*.f64 im (*.f64 im #s(literal -1/6 binary64)))
(* -1/6 (pow im 2))
(*.f64 im (*.f64 im #s(literal -1/6 binary64)))
(* -1/6 (pow im 2))
(*.f64 im (*.f64 im #s(literal -1/6 binary64)))
(* -1/6 (pow im 2))
(*.f64 im (*.f64 im #s(literal -1/6 binary64)))
(* -1/6 (pow im 2))
(*.f64 im (*.f64 im #s(literal -1/6 binary64)))
(* -1/6 (pow im 2))
(*.f64 im (*.f64 im #s(literal -1/6 binary64)))
(* -1/6 (pow im 2))
(*.f64 im (*.f64 im #s(literal -1/6 binary64)))
(* -1/6 (pow im 2))
(*.f64 im (*.f64 im #s(literal -1/6 binary64)))
(* -1/6 (pow im 2))
(*.f64 im (*.f64 im #s(literal -1/6 binary64)))
(* -1/6 (pow im 2))
(*.f64 im (*.f64 im #s(literal -1/6 binary64)))
(* -1/6 (pow im 2))
(*.f64 im (*.f64 im #s(literal -1/6 binary64)))
(* -1/6 (pow im 2))
(*.f64 im (*.f64 im #s(literal -1/6 binary64)))

rewrite542.0ms (3.2%)

Memory
-26.8MiB live, 352.5MiB allocated
Rules
4 874×lower-*.f32
4 856×lower-*.f64
4 628×lower-/.f64
4 628×lower-/.f32
4 476×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036241
061241
1210237
21320237
08254233
Stop Event
iter limit
node limit
iter limit
Counts
23 → 347
Calls
Call 1
Inputs
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
(*.f64 im #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (exp re) #s(literal 1 binary64))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)))
#s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im))
(fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)
(*.f64 im re)
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))
(*.f64 #s(literal -1/6 binary64) (*.f64 im im))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im))
(*.f64 im #s(literal -1/6 binary64))
(*.f64 im (*.f64 im #s(literal -1/6 binary64)))
Outputs
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re))
(+.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) #s(literal 1 binary64))
(+.f64 (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (+.f64 re #s(literal 1 binary64)))
(+.f64 (/.f64 (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 re (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re))) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) re)
(-.f64 (/.f64 (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 re (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re))) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re))) (/.f64 (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 re (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re))) (-.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re))))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (+.f64 re #s(literal 1 binary64)))
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) #s(literal 1 binary64))
(fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re (+.f64 re #s(literal 1 binary64)))
(fma.f64 (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 re (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re))) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))))
(fma.f64 (fma.f64 (*.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (-.f64 (*.f64 re re) (*.f64 (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) re)))) #s(literal 1 binary64))
(fma.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (+.f64 re #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (neg.f64 (*.f64 re re))) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (neg.f64 re))) #s(literal 1 binary64))
(fma.f64 (*.f64 re (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(fma.f64 (*.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64)) re) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 re (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re))) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re))) (fma.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 re (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 re (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re))))))
(/.f64 (fma.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 re (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re))) #s(literal 1 binary64)) (-.f64 (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 re (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)) #s(literal 1 binary64)) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)))
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eval459.0ms (2.8%)

Memory
2.0MiB live, 228.4MiB allocated
Compiler

Compiled 26 572 to 1 619 computations (93.9% saved)

prune473.0ms (2.8%)

Memory
-0.8MiB live, 326.3MiB allocated
Pruning

39 alts after pruning (35 fresh and 4 done)

PrunedKeptTotal
New96526991
Fresh5914
Picked325
Done022
Total973391 012
Accuracy
100.0%
Counts
1 012 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
41.1%
(*.f64 #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
41.7%
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)))
37.1%
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) im)))
39.9%
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)))
35.2%
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) im)))
39.6%
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)))
33.7%
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
33.7%
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
35.1%
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
17.3%
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
33.3%
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
16.1%
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
15.9%
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
68.3%
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))
30.1%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
35.1%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
35.1%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
27.7%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (*.f64 (*.f64 re re) #s(literal 1/36 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 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
29.8%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
29.2%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))))
27.7%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))))
11.8%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)))))
11.7%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
11.6%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64))))))))
27.0%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
49.7%
#s(approx (* (exp re) (sin im)) (sin.f64 im))
30.8%
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)))
27.7%
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) #s(approx (+ (* re 1/2) 1) #s(literal 1 binary64)) im)))
34.1%
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
34.1%
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) im)))
27.7%
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
20.5%
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (*.f64 (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 im))) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 im)))))
18.4%
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 im (*.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))))) (-.f64 (*.f64 im im) (*.f64 (*.f64 im im) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 re (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))))))))
30.7%
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im)))))
7.4%
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 im re) im)))))
9.1%
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))))
33.3%
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
34.0%
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
29.3%
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
Compiler

Compiled 1 532 to 766 computations (50% saved)

simplify117.0ms (0.7%)

Memory
-1.7MiB live, 77.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
cost-diff0
(+.f64 re #s(literal 1 binary64))
cost-diff0
#s(approx (exp re) (+.f64 re #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
cost-diff0
(fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)
cost-diff0
#s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))
cost-diff0
#s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))
cost-diff0
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
cost-diff0
#s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))
cost-diff0
#s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) #s(literal 1 binary64))
cost-diff0
#s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
cost-diff0
(fma.f64 im re im)
cost-diff0
#s(approx (* im (exp re)) (fma.f64 im re im))
cost-diff0
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
cost-diff0
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
cost-diff0
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff0
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)))
Rules
2 212×lower-fma.f32
2 190×lower-fma.f64
832×lower-*.f32
808×lower-*.f64
466×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060482
098470
1199459
2344459
3757459
41368459
51574459
61578459
71578459
81589459
91589459
01589450
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)))
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
re
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (sin im) (fma.f64 (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im))
(fma.f64 (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)
(fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(*.f64 im im)
im
(fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(*.f64 im (*.f64 im im))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
#s(approx (* im (exp re)) (fma.f64 im re im))
(fma.f64 im re im)
im
re
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) #s(literal 1 binary64)))
#s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))
(fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)
im
(*.f64 #s(literal -1/6 binary64) (*.f64 im im))
#s(literal -1/6 binary64)
(*.f64 im im)
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))
#s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))
(fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)
re
(*.f64 re #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im))
(fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)
im
(*.f64 im (*.f64 im #s(literal -1/6 binary64)))
(*.f64 im #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (exp re) (+.f64 re #s(literal 1 binary64)))
(+.f64 re #s(literal 1 binary64))
re
#s(literal 1 binary64)
#s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
im
(fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(*.f64 im im)
(fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(*.f64 im #s(literal -1/5040 binary64))
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
Outputs
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) im)))
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
re
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (sin im) (fma.f64 (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im))
#s(approx (sin im) (fma.f64 im (*.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) im))
(fma.f64 (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)
(fma.f64 im (*.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) im)
(fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(*.f64 im im)
im
(fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(*.f64 im (*.f64 im im))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re im im)))
#s(approx (* im (exp re)) (fma.f64 im re im))
#s(approx (* im (exp re)) (fma.f64 re im im))
(fma.f64 im re im)
(fma.f64 re im im)
im
re
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) #s(literal 1 binary64)))
#s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))
#s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im))
(fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)
(fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)
im
(*.f64 #s(literal -1/6 binary64) (*.f64 im im))
(*.f64 im (*.f64 im #s(literal -1/6 binary64)))
#s(literal -1/6 binary64)
(*.f64 im im)
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))
#s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re)))
#s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))
#s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re))
(fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)
(fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re)
re
(*.f64 re #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im))
(fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)
im
(*.f64 im (*.f64 im #s(literal -1/6 binary64)))
(*.f64 im #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) im)))
#s(approx (exp re) (+.f64 re #s(literal 1 binary64)))
(+.f64 re #s(literal 1 binary64))
re
#s(literal 1 binary64)
#s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
#s(approx (sin im) (fma.f64 im (*.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) im))
(*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 im (*.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) im)
im
(fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(*.f64 im im)
(fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(*.f64 im #s(literal -1/5040 binary64))
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)

localize4.2s (25.2%)

Memory
19.7MiB live, 296.2MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.05078125
(fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
accuracy0.078125
(fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
accuracy31.772355810289515
#s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
accuracy32.111970440270134
#s(approx (exp re) (+.f64 re #s(literal 1 binary64)))
accuracy0.3125
(*.f64 im #s(literal -1/6 binary64))
accuracy26.433035443311503
#s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))
accuracy29.97335077890456
#s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))
accuracy31.67282279898223
#s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im))
accuracy0.1875
(*.f64 #s(literal -1/6 binary64) (*.f64 im im))
accuracy23.814053058631252
#s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) #s(literal 1 binary64)))
accuracy31.67282279898223
#s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))
accuracy32.72570130046484
#s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) #s(literal 1 binary64))
accuracy0
(fma.f64 im re im)
accuracy20.273188577763833
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
accuracy28.82074882089268
#s(approx (* im (exp re)) (fma.f64 im re im))
accuracy0.078125
(*.f64 im (*.f64 im im))
accuracy0.1640625
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
accuracy23.814053058631252
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
accuracy31.772355810289515
#s(approx (sin im) (fma.f64 (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im))
Samples
319.0ms256×0valid
Compiler

Compiled 286 to 52 computations (81.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 173.0ms
ival-mult: 84.0ms (48.6% of total)
ival-add: 69.0ms (39.9% of total)
const: 11.0ms (6.4% of total)
ival-sin: 6.0ms (3.5% of total)
ival-exp: 2.0ms (1.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.7s (22.3%)

Memory
-6.1MiB live, 40.5MiB allocated
Counts
27 → 408
Calls
Call 1
Inputs
#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im))) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im))) #<representation binary64>) () ())
#s(alt #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im))) (patch #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im))) #<representation binary64>) () ())
#s(alt #s(approx (* im (exp re)) (fma.f64 im re im)) (patch #s(approx (* im (exp re)) (fma.f64 im re im)) #<representation binary64>) () ())
#s(alt (fma.f64 im re im) (patch (fma.f64 im re im) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (patch (*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #<representation binary64>) () ())
#s(alt #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) #s(literal 1 binary64))) (patch #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im))) (patch (*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im))) #<representation binary64>) () ())
#s(alt #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))) (patch #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)) (patch #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)) #<representation binary64>) () ())
#s(alt (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) (patch (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))) (patch (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (patch #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 re #s(literal 1 binary64)) (patch (+.f64 re #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (patch #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (sin im) (fma.f64 (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)) (patch #s(approx (sin im) (fma.f64 (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)) #<representation binary64>) () ())
#s(alt (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 im (*.f64 im im)) (patch (*.f64 im (*.f64 im im)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #<representation binary64>) () ())
#s(alt #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)) #<representation binary64>) () ())
#s(alt (*.f64 im #s(literal -1/6 binary64)) (patch (*.f64 im #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (patch (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (sin im) (taylor 0 re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im))) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im))) #<representation binary64>) () ())) ())
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#s(alt (* -1/6 (pow im 2)) (taylor inf im) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow im 2)) (taylor -inf im) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow im 2)) (taylor -inf im) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow im 2)) (taylor -inf im) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow im 2)) (taylor -inf im) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #<representation binary64>) () ())) ())
#s(alt im (taylor 0 im) (#s(alt #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)) #<representation binary64>) () ())) ())
#s(alt (* im (+ 1 (* -1/6 (pow im 2)))) (taylor 0 im) (#s(alt #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 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) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 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) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor inf im) (#s(alt #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor inf im) (#s(alt #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor inf im) (#s(alt #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor inf im) (#s(alt #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor -inf im) (#s(alt #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor -inf im) (#s(alt #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor -inf im) (#s(alt #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor -inf im) (#s(alt #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 im) (taylor 0 im) (#s(alt (*.f64 im #s(literal -1/6 binary64)) (patch (*.f64 im #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 im) (taylor 0 im) (#s(alt (*.f64 im #s(literal -1/6 binary64)) (patch (*.f64 im #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 im) (taylor 0 im) (#s(alt (*.f64 im #s(literal -1/6 binary64)) (patch (*.f64 im #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 im) (taylor 0 im) (#s(alt (*.f64 im #s(literal -1/6 binary64)) (patch (*.f64 im #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 im) (taylor inf im) (#s(alt (*.f64 im #s(literal -1/6 binary64)) (patch (*.f64 im #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 im) (taylor inf im) (#s(alt (*.f64 im #s(literal -1/6 binary64)) (patch (*.f64 im #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 im) (taylor inf im) (#s(alt (*.f64 im #s(literal -1/6 binary64)) (patch (*.f64 im #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 im) (taylor inf im) (#s(alt (*.f64 im #s(literal -1/6 binary64)) (patch (*.f64 im #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 im) (taylor -inf im) (#s(alt (*.f64 im #s(literal -1/6 binary64)) (patch (*.f64 im #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 im) (taylor -inf im) (#s(alt (*.f64 im #s(literal -1/6 binary64)) (patch (*.f64 im #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 im) (taylor -inf im) (#s(alt (*.f64 im #s(literal -1/6 binary64)) (patch (*.f64 im #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 im) (taylor -inf im) (#s(alt (*.f64 im #s(literal -1/6 binary64)) (patch (*.f64 im #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt 1/120 (taylor 0 im) (#s(alt (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (patch (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/120 (* -1/5040 (pow im 2))) (taylor 0 im) (#s(alt (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (patch (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/120 (* -1/5040 (pow im 2))) (taylor 0 im) (#s(alt (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (patch (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/120 (* -1/5040 (pow im 2))) (taylor 0 im) (#s(alt (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (patch (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/5040 (pow im 2)) (taylor inf im) (#s(alt (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (patch (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040)) (taylor inf im) (#s(alt (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (patch (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040)) (taylor inf im) (#s(alt (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (patch (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040)) (taylor inf im) (#s(alt (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (patch (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/5040 (pow im 2)) (taylor -inf im) (#s(alt (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (patch (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040)) (taylor -inf im) (#s(alt (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (patch (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040)) (taylor -inf im) (#s(alt (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (patch (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040)) (taylor -inf im) (#s(alt (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (patch (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt -1/6 (taylor 0 im) (#s(alt (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/120 (pow im 2)) 1/6) (taylor 0 im) (#s(alt (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6) (taylor 0 im) (#s(alt (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6) (taylor 0 im) (#s(alt (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/5040 (pow im 4)) (taylor inf im) (#s(alt (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) 1/5040)) (taylor inf im) (#s(alt (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4))))) (taylor inf im) (#s(alt (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4))))) (taylor inf im) (#s(alt (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/5040 (pow im 4)) (taylor -inf im) (#s(alt (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) 1/5040)) (taylor -inf im) (#s(alt (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4))))) (taylor -inf im) (#s(alt (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4))))) (taylor -inf im) (#s(alt (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
Calls

102 calls:

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

simplify290.0ms (1.7%)

Memory
17.2MiB live, 436.9MiB allocated
Algorithm
egg-herbie
Rules
14 170×lower-fma.f64
14 170×lower-fma.f32
4 252×lower-*.f64
4 252×lower-*.f32
2 884×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01522531
14822426
213102376
339232364
467222360
085302145
Stop Event
iter limit
node limit
Counts
408 → 399
Calls
Call 1
Inputs
(sin im)
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* im (exp re))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))
1
(+ 1 (* 1/2 re))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
(* 1/6 (pow re 2))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* 1/6 (pow re 2))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(sin im)
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* im (exp re))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
im
(+ im (* im re))
(+ im (* re (+ im (* 1/2 (* im re)))))
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (+ 1 re))
(* im (+ 1 re))
(* im (+ 1 re))
(* im (+ 1 re))
(* im (+ 1 re))
(* im (+ 1 re))
(* im (+ 1 re))
(* im (+ 1 re))
(* -1 (* im (- (* -1 re) 1)))
(* -1 (* im (- (* -1 re) 1)))
(* -1 (* im (- (* -1 re) 1)))
(* -1 (* im (- (* -1 re) 1)))
im
(+ im (* im re))
(+ im (* im re))
(+ im (* im re))
(* im re)
(* re (+ im (/ im re)))
(* re (+ im (/ im re)))
(* re (+ im (/ im re)))
(* im re)
(* -1 (* re (+ (* -1 im) (* -1 (/ im re)))))
(* -1 (* re (+ (* -1 im) (* -1 (/ im re)))))
(* -1 (* re (+ (* -1 im) (* -1 (/ im re)))))
(sin im)
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* im (exp re))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))
im
(* im (+ 1 (* -1/6 (pow im 2))))
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(sin im)
(sin im)
(sin im)
(sin im)
(sin im)
(sin im)
(sin im)
(sin im)
(sin im)
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* im (exp re))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 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)))))
re
(* re (+ 1 (* 1/2 re)))
(* re (+ 1 (* 1/2 re)))
(* re (+ 1 (* 1/2 re)))
(* 1/2 (pow re 2))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(* 1/2 (pow re 2))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(* (pow re 2) (+ 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))
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)))
im
(* im (+ 1 (* -1/6 (pow im 2))))
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(sin im)
(sin im)
(sin im)
(sin im)
(sin im)
(sin im)
(sin im)
(sin im)
im
(* im (+ 1 (* -1/6 (pow im 2))))
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(sin im)
(sin im)
(sin im)
(sin im)
(sin im)
(sin im)
(sin im)
(sin im)
1/2
(+ 1/2 (* 1/6 re))
(+ 1/2 (* 1/6 re))
(+ 1/2 (* 1/6 re))
(* 1/6 re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* 1/6 re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(pow im 3)
(pow im 3)
(pow im 3)
(pow im 3)
(pow im 3)
(pow im 3)
(pow im 3)
(pow im 3)
(pow im 3)
(pow im 3)
(pow im 3)
(pow im 3)
(* -1/6 (pow im 2))
(* -1/6 (pow im 2))
(* -1/6 (pow im 2))
(* -1/6 (pow im 2))
(* -1/6 (pow im 2))
(* -1/6 (pow im 2))
(* -1/6 (pow im 2))
(* -1/6 (pow im 2))
(* -1/6 (pow im 2))
(* -1/6 (pow im 2))
(* -1/6 (pow im 2))
(* -1/6 (pow im 2))
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)
(* -1/6 im)
(* -1/6 im)
(* -1/6 im)
(* -1/6 im)
(* -1/6 im)
(* -1/6 im)
(* -1/6 im)
(* -1/6 im)
(* -1/6 im)
(* -1/6 im)
(* -1/6 im)
(* -1/6 im)
1/120
(+ 1/120 (* -1/5040 (pow im 2)))
(+ 1/120 (* -1/5040 (pow im 2)))
(+ 1/120 (* -1/5040 (pow im 2)))
(* -1/5040 (pow im 2))
(* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(* -1/5040 (pow im 2))
(* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
-1/6
(- (* 1/120 (pow im 2)) 1/6)
(- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)
(- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)
(* -1/5040 (pow im 4))
(* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4)))))
(* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4)))))
(* -1/5040 (pow im 4))
(* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4)))))
(* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4)))))
Outputs
(sin im)
(sin.f64 im)
(+ (sin im) (* re (sin im)))
(*.f64 (sin.f64 im) (+.f64 re #s(literal 1 binary64)))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(*.f64 (sin.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(fma.f64 re (*.f64 (sin.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(*.f64 (exp.f64 re) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(*.f64 im (*.f64 (exp.f64 re) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(*.f64 im (fma.f64 (*.f64 im im) (*.f64 (exp.f64 re) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (exp.f64 re)))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 re #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 re #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(* 1/6 (pow re 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re)))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(* 1/6 (pow re 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re)))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))
(*.f64 re (*.f64 (*.f64 re re) (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) re) (*.f64 re re))) re))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 re))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/6 (pow re 2))
(*.f64 re (*.f64 re #s(literal 1/6 binary64)))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/6 (pow re 2))
(*.f64 re (*.f64 re #s(literal 1/6 binary64)))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(sin im)
(sin.f64 im)
(+ (sin im) (* re (sin im)))
(*.f64 (sin.f64 im) (+.f64 re #s(literal 1 binary64)))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(*.f64 (sin.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(fma.f64 re (*.f64 (sin.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(*.f64 (exp.f64 re) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(*.f64 im (*.f64 (exp.f64 re) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(*.f64 im (fma.f64 (*.f64 im im) (*.f64 (exp.f64 re) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (exp.f64 re)))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
im
(+ im (* im re))
(fma.f64 im re im)
(+ im (* re (+ im (* 1/2 (* im re)))))
(fma.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) im)
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
(fma.f64 re (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) im)
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (exp re))
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(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(pow im 3)
(*.f64 im (*.f64 im im))
(pow im 3)
(*.f64 im (*.f64 im im))
(pow im 3)
(*.f64 im (*.f64 im im))
(pow im 3)
(*.f64 im (*.f64 im im))
(pow im 3)
(*.f64 im (*.f64 im im))
(pow im 3)
(*.f64 im (*.f64 im im))
(pow im 3)
(*.f64 im (*.f64 im im))
(pow im 3)
(*.f64 im (*.f64 im im))
(pow im 3)
(*.f64 im (*.f64 im im))
(pow im 3)
(*.f64 im (*.f64 im im))
(pow im 3)
(*.f64 im (*.f64 im im))
(pow im 3)
(*.f64 im (*.f64 im im))
(* -1/6 (pow im 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 im im))
(* -1/6 (pow im 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 im im))
(* -1/6 (pow im 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 im im))
(* -1/6 (pow im 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 im im))
(* -1/6 (pow im 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 im im))
(* -1/6 (pow im 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 im im))
(* -1/6 (pow im 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 im im))
(* -1/6 (pow im 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 im im))
(* -1/6 (pow im 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 im im))
(* -1/6 (pow im 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 im im))
(* -1/6 (pow im 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 im im))
(* -1/6 (pow im 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 im im))
im
(* im (+ 1 (* -1/6 (pow im 2))))
(fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))
(fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(fma.f64 im (*.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) 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)
(* -1/6 im)
(*.f64 im #s(literal -1/6 binary64))
(* -1/6 im)
(*.f64 im #s(literal -1/6 binary64))
(* -1/6 im)
(*.f64 im #s(literal -1/6 binary64))
(* -1/6 im)
(*.f64 im #s(literal -1/6 binary64))
(* -1/6 im)
(*.f64 im #s(literal -1/6 binary64))
(* -1/6 im)
(*.f64 im #s(literal -1/6 binary64))
(* -1/6 im)
(*.f64 im #s(literal -1/6 binary64))
(* -1/6 im)
(*.f64 im #s(literal -1/6 binary64))
(* -1/6 im)
(*.f64 im #s(literal -1/6 binary64))
(* -1/6 im)
(*.f64 im #s(literal -1/6 binary64))
(* -1/6 im)
(*.f64 im #s(literal -1/6 binary64))
(* -1/6 im)
(*.f64 im #s(literal -1/6 binary64))
1/120
#s(literal 1/120 binary64)
(+ 1/120 (* -1/5040 (pow im 2)))
(fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(+ 1/120 (* -1/5040 (pow im 2)))
(fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(+ 1/120 (* -1/5040 (pow im 2)))
(fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(* -1/5040 (pow im 2))
(*.f64 (*.f64 im im) #s(literal -1/5040 binary64))
(* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(* -1/5040 (pow im 2))
(*.f64 (*.f64 im im) #s(literal -1/5040 binary64))
(* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
-1/6
#s(literal -1/6 binary64)
(- (* 1/120 (pow im 2)) 1/6)
(fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)
(fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)
(fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(* -1/5040 (pow im 4))
(*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal -1/5040 binary64))))
(* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(*.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 im im))) (*.f64 (*.f64 im im) (*.f64 im im)))
(* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4)))))
(*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (+.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 im im))) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 im im) (*.f64 im im)))))
(* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4)))))
(*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (+.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 im im))) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 im im) (*.f64 im im)))))
(* -1/5040 (pow im 4))
(*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal -1/5040 binary64))))
(* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(*.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 im im))) (*.f64 (*.f64 im im) (*.f64 im im)))
(* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4)))))
(*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (+.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 im im))) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 im im) (*.f64 im im)))))
(* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4)))))
(*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (+.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 im im))) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 im im) (*.f64 im im)))))

rewrite285.0ms (1.7%)

Memory
-59.4MiB live, 475.3MiB allocated
Rules
6 826×lower-fma.f32
6 804×lower-fma.f64
3 960×lower-*.f32
3 936×lower-*.f64
3 198×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060354
098350
1382337
22305337
08285330
Stop Event
iter limit
node limit
iter limit
Counts
27 → 304
Calls
Call 1
Inputs
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)))
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
#s(approx (* im (exp re)) (fma.f64 im re im))
(fma.f64 im re im)
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) #s(literal 1 binary64)))
#s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) #s(literal 1 binary64))
#s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))
#s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))
(fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (exp re) (+.f64 re #s(literal 1 binary64)))
(+.f64 re #s(literal 1 binary64))
#s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
#s(approx (sin im) (fma.f64 (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(*.f64 im (*.f64 im im))
(*.f64 #s(literal -1/6 binary64) (*.f64 im im))
#s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im))
(*.f64 im #s(literal -1/6 binary64))
(fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
Outputs
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re))
(+.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) #s(literal 1 binary64))
(+.f64 (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (+.f64 re #s(literal 1 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) re)
(-.f64 (/.f64 (*.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re))) (/.f64 (*.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)) (-.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re))))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (+.f64 re #s(literal 1 binary64)))
(fma.f64 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) #s(literal 1 binary64))
(fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re (+.f64 re #s(literal 1 binary64)))
(fma.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (+.f64 re #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) #s(literal 1 binary64)) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)) (fma.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (*.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) #s(literal -1 binary64))))
(/.f64 (fma.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (*.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)) #s(literal 1 binary64)) (-.f64 (fma.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) #s(literal 1 binary64)) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)))
(/.f64 (fma.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (*.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re))))
(/.f64 (fma.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)))) (neg.f64 (neg.f64 (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))))) (neg.f64 (-.f64 #s(literal -1/6 binary64) (*.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))))))
(/.f64 (fma.f64 (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/128024064000 binary64))) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 im (*.f64 im im))) (pow.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 im im) (*.f64 im (*.f64 im #s(literal -1/5040 binary64)))) (*.f64 (*.f64 im im) (*.f64 im (*.f64 im #s(literal -1/5040 binary64)))) (-.f64 (*.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (*.f64 (*.f64 (*.f64 im im) (*.f64 im (*.f64 im #s(literal -1/5040 binary64)))) (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 im im) (*.f64 im (*.f64 im #s(literal -1/5040 binary64))))) #s(literal 3 binary64)) (*.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 im (*.f64 im im))))) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 im im) (*.f64 im (*.f64 im #s(literal -1/5040 binary64))))) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 im im) (*.f64 im (*.f64 im #s(literal -1/5040 binary64))))) (-.f64 (*.f64 (*.f64 im (*.f64 im #s(literal 1/120 binary64))) (*.f64 im (*.f64 im #s(literal 1/120 binary64)))) (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 im im) (*.f64 im (*.f64 im #s(literal -1/5040 binary64))))) (*.f64 im (*.f64 im #s(literal 1/120 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (/.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (fma.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal 1/36 binary64)) (*.f64 im (*.f64 (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) (fma.f64 (*.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))) #s(literal -1/216 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))) #s(literal -1/216 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal 1/36 binary64)) (*.f64 im (*.f64 (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))))

eval95.0ms (0.6%)

Memory
-2.0MiB live, 193.8MiB allocated
Compiler

Compiled 19 037 to 1 373 computations (92.8% saved)

prune176.0ms (1.1%)

Memory
19.5MiB live, 267.5MiB allocated
Pruning

42 alts after pruning (36 fresh and 6 done)

PrunedKeptTotal
New68914703
Fresh82230
Picked325
Done044
Total70042742
Accuracy
100.0%
Counts
742 → 42
Alt Table
Click to see full alt table
StatusAccuracyProgram
33.3%
(*.f64 #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) #s(literal 1 binary64))))
16.1%
(*.f64 #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))))))
41.1%
(*.f64 #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
37.1%
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)))
33.7%
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
33.7%
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
35.1%
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) (+ (* im (* im -1/5040)) 1/120)) -1/6) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal -1/5040 binary64))))) #s(literal 1 binary64)))))
17.3%
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
17.9%
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))))) #s(approx (sin im) (fma.f64 (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)))
33.3%
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
11.9%
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))) #s(approx (sin im) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)))
16.4%
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))) #s(approx (sin im) (fma.f64 im (*.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) im)))
15.9%
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 re (*.f64 re #s(literal 1/2 binary64))))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
68.3%
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))
30.1%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
35.1%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
35.1%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
27.7%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (*.f64 (*.f64 re re) #s(literal 1/36 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 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
29.8%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
29.2%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))))
27.7%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))))
11.8%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)))))
11.7%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
11.6%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64))))))))
27.0%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
49.7%
#s(approx (* (exp re) (sin im)) (sin.f64 im))
30.8%
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)))
34.1%
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
34.1%
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) im)))
27.7%
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
14.1%
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (fma.f64 (*.f64 im (*.f64 im im)) (*.f64 re (*.f64 re re)) (*.f64 im (*.f64 im im))) (fma.f64 im (-.f64 im (*.f64 re im)) (*.f64 re (*.f64 re (*.f64 im im)))))))
22.7%
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (*.f64 im im) (*.f64 re (*.f64 re (*.f64 im im)))) (-.f64 im (*.f64 re im)))))
17.0%
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)) (-.f64 (*.f64 re im) im))))
16.9%
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 re im) im) (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im))))))
30.7%
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im)))))
27.7%
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (+.f64 (*.f64 re im) im)))
7.4%
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 im re) im)))))
9.1%
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))))
4.5%
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.f64 im re))))
33.3%
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
34.0%
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
29.3%
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
Compiler

Compiled 1 965 to 583 computations (70.3% saved)

regimes108.0ms (0.6%)

Memory
-17.3MiB live, 216.0MiB allocated
Counts
65 → 1
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (+.f64 (*.f64 re im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) #s(approx (+ (* re 1/2) 1) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 im re) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64))))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(*.f64 #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 re (*.f64 re #s(literal 1/2 binary64))))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)) (-.f64 (*.f64 re im) im))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im)))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(*.f64 #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (*.f64 im im) (*.f64 re (*.f64 re (*.f64 im im)))) (-.f64 im (*.f64 re im)))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))) #s(approx (sin im) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) (+ (* im (* im -1/5040)) 1/120)) -1/6) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal -1/5040 binary64))))) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 re im) im) (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))) #s(approx (sin im) (fma.f64 im (*.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))))) #s(approx (sin im) (fma.f64 (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (*.f64 (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 im))) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 im)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (fma.f64 (*.f64 im (*.f64 im im)) (*.f64 re (*.f64 re re)) (*.f64 im (*.f64 im im))) (fma.f64 im (-.f64 im (*.f64 re im)) (*.f64 re (*.f64 re (*.f64 im im)))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (*.f64 (*.f64 re re) #s(literal 1/36 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 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 im (*.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))))) (-.f64 (*.f64 im im) (*.f64 (*.f64 im im) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 re (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))))))))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im))
(*.f64 (exp.f64 re) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64)))))))
(*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(*.f64 (exp.f64 re) (sin.f64 im))
Outputs
(*.f64 (exp.f64 re) (sin.f64 im))
Calls

5 calls:

23.0ms
(sin.f64 im)
23.0ms
re
22.0ms
im
20.0ms
(*.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)

regimes113.0ms (0.7%)

Memory
24.1MiB live, 180.3MiB allocated
Counts
64 → 5
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (+.f64 (*.f64 re im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) #s(approx (+ (* re 1/2) 1) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 im re) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64))))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(*.f64 #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 re (*.f64 re #s(literal 1/2 binary64))))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)) (-.f64 (*.f64 re im) im))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im)))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(*.f64 #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (*.f64 im im) (*.f64 re (*.f64 re (*.f64 im im)))) (-.f64 im (*.f64 re im)))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))) #s(approx (sin im) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) (+ (* im (* im -1/5040)) 1/120)) -1/6) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal -1/5040 binary64))))) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 re im) im) (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))) #s(approx (sin im) (fma.f64 im (*.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))))) #s(approx (sin im) (fma.f64 (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (*.f64 (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 im))) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 im)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (fma.f64 (*.f64 im (*.f64 im im)) (*.f64 re (*.f64 re re)) (*.f64 im (*.f64 im im))) (fma.f64 im (-.f64 im (*.f64 re im)) (*.f64 re (*.f64 re (*.f64 im im)))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (*.f64 (*.f64 re re) #s(literal 1/36 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 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 im (*.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))))) (-.f64 (*.f64 im im) (*.f64 (*.f64 im im) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 re (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))))))))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im))
(*.f64 (exp.f64 re) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64)))))))
(*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
Outputs
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))))) #s(approx (sin im) (fma.f64 (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))
Calls

5 calls:

29.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
25.0ms
(sin.f64 im)
21.0ms
re
20.0ms
im
15.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
95.3%3re
80.4%2im
100.0%5(*.f64 (exp.f64 re) (sin.f64 im))
95.3%3(exp.f64 re)
80.5%4(sin.f64 im)
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes101.0ms (0.6%)

Memory
-7.3MiB live, 196.6MiB allocated
Counts
59 → 5
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (+.f64 (*.f64 re im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) #s(approx (+ (* re 1/2) 1) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 im re) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64))))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(*.f64 #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 re (*.f64 re #s(literal 1/2 binary64))))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)) (-.f64 (*.f64 re im) im))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im)))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(*.f64 #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (*.f64 im im) (*.f64 re (*.f64 re (*.f64 im im)))) (-.f64 im (*.f64 re im)))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))) #s(approx (sin im) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) (+ (* im (* im -1/5040)) 1/120)) -1/6) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal -1/5040 binary64))))) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 re im) im) (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))) #s(approx (sin im) (fma.f64 im (*.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))))) #s(approx (sin im) (fma.f64 (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (*.f64 (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 im))) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 im)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (fma.f64 (*.f64 im (*.f64 im im)) (*.f64 re (*.f64 re re)) (*.f64 im (*.f64 im im))) (fma.f64 im (-.f64 im (*.f64 re im)) (*.f64 re (*.f64 re (*.f64 im im)))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (*.f64 (*.f64 re re) #s(literal 1/36 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 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 im (*.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))))) (-.f64 (*.f64 im im) (*.f64 (*.f64 im im) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 re (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))))))))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
Outputs
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))))) #s(approx (sin im) (fma.f64 (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (*.f64 im im) (*.f64 re (*.f64 re (*.f64 im im)))) (-.f64 im (*.f64 re im)))))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) im)))
Calls

5 calls:

23.0ms
im
22.0ms
(sin.f64 im)
18.0ms
re
17.0ms
(exp.f64 re)
17.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
59.1%5(sin.f64 im)
55.6%2im
71.8%3re
71.8%3(exp.f64 re)
76.2%5(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes90.0ms (0.5%)

Memory
7.0MiB live, 201.7MiB allocated
Counts
58 → 3
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (+.f64 (*.f64 re im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) #s(approx (+ (* re 1/2) 1) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 im re) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64))))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(*.f64 #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 re (*.f64 re #s(literal 1/2 binary64))))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)) (-.f64 (*.f64 re im) im))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im)))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(*.f64 #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (*.f64 im im) (*.f64 re (*.f64 re (*.f64 im im)))) (-.f64 im (*.f64 re im)))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))) #s(approx (sin im) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) (+ (* im (* im -1/5040)) 1/120)) -1/6) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal -1/5040 binary64))))) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 re im) im) (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))) #s(approx (sin im) (fma.f64 im (*.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))))) #s(approx (sin im) (fma.f64 (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (*.f64 (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 im))) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 im)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (fma.f64 (*.f64 im (*.f64 im im)) (*.f64 re (*.f64 re re)) (*.f64 im (*.f64 im im))) (fma.f64 im (-.f64 im (*.f64 re im)) (*.f64 re (*.f64 re (*.f64 im im)))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (*.f64 (*.f64 re re) #s(literal 1/36 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 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 im (*.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))))) (-.f64 (*.f64 im im) (*.f64 (*.f64 im im) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 re (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))))))))
Outputs
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (*.f64 im im) (*.f64 re (*.f64 re (*.f64 im im)))) (-.f64 im (*.f64 re im)))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) im)))
Calls

5 calls:

19.0ms
re
18.0ms
(sin.f64 im)
18.0ms
im
16.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
14.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
46.8%2(sin.f64 im)
41.7%1im
49.3%2re
49.3%2(exp.f64 re)
54.3%3(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes17.0ms (0.1%)

Memory
3.5MiB live, 40.7MiB allocated
Counts
50 → 3
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (+.f64 (*.f64 re im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) #s(approx (+ (* re 1/2) 1) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 im re) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64))))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(*.f64 #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 re (*.f64 re #s(literal 1/2 binary64))))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)) (-.f64 (*.f64 re im) im))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im)))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(*.f64 #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (*.f64 im im) (*.f64 re (*.f64 re (*.f64 im im)))) (-.f64 im (*.f64 re im)))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))) #s(approx (sin im) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) (+ (* im (* im -1/5040)) 1/120)) -1/6) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal -1/5040 binary64))))) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 re im) im) (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))) #s(approx (sin im) (fma.f64 im (*.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))))) #s(approx (sin im) (fma.f64 (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)))
Outputs
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))))) #s(approx (sin im) (fma.f64 (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (*.f64 im im) (*.f64 re (*.f64 re (*.f64 im im)))) (-.f64 im (*.f64 re im)))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) im)))
Calls

1 calls:

14.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
54.1%3(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes21.0ms (0.1%)

Memory
6.7MiB live, 45.9MiB allocated
Counts
49 → 3
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (+.f64 (*.f64 re im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) #s(approx (+ (* re 1/2) 1) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 im re) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64))))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(*.f64 #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 re (*.f64 re #s(literal 1/2 binary64))))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)) (-.f64 (*.f64 re im) im))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im)))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(*.f64 #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (*.f64 im im) (*.f64 re (*.f64 re (*.f64 im im)))) (-.f64 im (*.f64 re im)))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))) #s(approx (sin im) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) (+ (* im (* im -1/5040)) 1/120)) -1/6) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal -1/5040 binary64))))) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 re im) im) (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))) #s(approx (sin im) (fma.f64 im (*.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)))
Outputs
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (*.f64 im im) (*.f64 re (*.f64 re (*.f64 im im)))) (-.f64 im (*.f64 re im)))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) im)))
Calls

1 calls:

18.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
54.0%3(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes20.0ms (0.1%)

Memory
-30.3MiB live, 45.3MiB allocated
Counts
47 → 3
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (+.f64 (*.f64 re im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) #s(approx (+ (* re 1/2) 1) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 im re) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64))))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(*.f64 #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 re (*.f64 re #s(literal 1/2 binary64))))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)) (-.f64 (*.f64 re im) im))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im)))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(*.f64 #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (*.f64 im im) (*.f64 re (*.f64 re (*.f64 im im)))) (-.f64 im (*.f64 re im)))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))) #s(approx (sin im) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) (+ (* im (* im -1/5040)) 1/120)) -1/6) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal -1/5040 binary64))))) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 re im) im) (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))) #s(approx (sin im) (fma.f64 im (*.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) im)))
Outputs
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))) #s(approx (sin im) (fma.f64 im (*.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (*.f64 im im) (*.f64 re (*.f64 re (*.f64 im im)))) (-.f64 im (*.f64 re im)))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) im)))
Calls

1 calls:

12.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
53.9%3(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes15.0ms (0.1%)

Memory
35.5MiB live, 35.5MiB allocated
Counts
46 → 3
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (+.f64 (*.f64 re im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) #s(approx (+ (* re 1/2) 1) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 im re) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64))))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(*.f64 #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 re (*.f64 re #s(literal 1/2 binary64))))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)) (-.f64 (*.f64 re im) im))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im)))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(*.f64 #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (*.f64 im im) (*.f64 re (*.f64 re (*.f64 im im)))) (-.f64 im (*.f64 re im)))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))) #s(approx (sin im) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) (+ (* im (* im -1/5040)) 1/120)) -1/6) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal -1/5040 binary64))))) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 re im) im) (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)))
Outputs
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (*.f64 im im) (*.f64 re (*.f64 re (*.f64 im im)))) (-.f64 im (*.f64 re im)))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) im)))
Calls

1 calls:

12.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
53.7%3(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes23.0ms (0.1%)

Memory
-37.8MiB live, 42.7MiB allocated
Counts
44 → 3
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (+.f64 (*.f64 re im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) #s(approx (+ (* re 1/2) 1) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 im re) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64))))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(*.f64 #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 re (*.f64 re #s(literal 1/2 binary64))))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)) (-.f64 (*.f64 re im) im))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im)))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(*.f64 #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (*.f64 im im) (*.f64 re (*.f64 re (*.f64 im im)))) (-.f64 im (*.f64 re im)))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))) #s(approx (sin im) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) (+ (* im (* im -1/5040)) 1/120)) -1/6) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal -1/5040 binary64))))) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 re im) im) (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
Outputs
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (*.f64 im im) (*.f64 re (*.f64 re (*.f64 im im)))) (-.f64 im (*.f64 re im)))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
Calls

1 calls:

12.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
51.8%3(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes12.0ms (0.1%)

Memory
37.7MiB live, 37.7MiB allocated
Counts
38 → 3
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (+.f64 (*.f64 re im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) #s(approx (+ (* re 1/2) 1) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 im re) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64))))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(*.f64 #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 re (*.f64 re #s(literal 1/2 binary64))))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)) (-.f64 (*.f64 re im) im))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im)))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(*.f64 #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (*.f64 im im) (*.f64 re (*.f64 re (*.f64 im im)))) (-.f64 im (*.f64 re im)))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))) #s(approx (sin im) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) (+ (* im (* im -1/5040)) 1/120)) -1/6) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal -1/5040 binary64))))) #s(literal 1 binary64)))))
Outputs
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (*.f64 im im) (*.f64 re (*.f64 re (*.f64 im im)))) (-.f64 im (*.f64 re im)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
Calls

1 calls:

10.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
51.7%3(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes47.0ms (0.3%)

Memory
0.9MiB live, 114.7MiB allocated
Counts
35 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (+.f64 (*.f64 re im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) #s(approx (+ (* re 1/2) 1) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 im re) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64))))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(*.f64 #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 re (*.f64 re #s(literal 1/2 binary64))))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)) (-.f64 (*.f64 re im) im))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im)))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(*.f64 #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
Calls

4 calls:

12.0ms
(sin.f64 im)
11.0ms
(exp.f64 re)
10.0ms
re
9.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
44.2%2(sin.f64 im)
42.8%2re
41.1%1(exp.f64 re)
44.1%2(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes35.0ms (0.2%)

Memory
-25.4MiB live, 60.2MiB allocated
Counts
33 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (+.f64 (*.f64 re im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) #s(approx (+ (* re 1/2) 1) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 im re) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64))))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(*.f64 #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 re (*.f64 re #s(literal 1/2 binary64))))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)) (-.f64 (*.f64 re im) im))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im)))))
Outputs
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
Calls

2 calls:

23.0ms
(sin.f64 im)
10.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
44.1%2(*.f64 (exp.f64 re) (sin.f64 im))
44.1%2(sin.f64 im)
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes19.0ms (0.1%)

Memory
21.2MiB live, 59.2MiB allocated
Counts
27 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (+.f64 (*.f64 re im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) #s(approx (+ (* re 1/2) 1) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 im re) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64))))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(*.f64 #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 re (*.f64 re #s(literal 1/2 binary64))))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))))))
Outputs
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
Calls

2 calls:

10.0ms
(sin.f64 im)
7.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
44.0%2(sin.f64 im)
44.0%2(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes28.0ms (0.2%)

Memory
-10.0MiB live, 64.2MiB allocated
Counts
25 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (+.f64 (*.f64 re im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) #s(approx (+ (* re 1/2) 1) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 im re) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64))))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(*.f64 #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 re (*.f64 re #s(literal 1/2 binary64))))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
Outputs
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
Calls

2 calls:

15.0ms
(sin.f64 im)
12.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
43.9%2(sin.f64 im)
43.9%2(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes32.0ms (0.2%)

Memory
9.0MiB live, 87.3MiB allocated
Counts
23 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (+.f64 (*.f64 re im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) #s(approx (+ (* re 1/2) 1) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 im re) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64))))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(*.f64 #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
Outputs
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
Calls

4 calls:

8.0ms
(sin.f64 im)
8.0ms
im
7.0ms
re
7.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
38.3%3re
41.0%2im
42.7%2(sin.f64 im)
42.8%2(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes8.0ms (0%)

Memory
-18.6MiB live, 20.6MiB allocated
Counts
20 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (+.f64 (*.f64 re im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) #s(approx (+ (* re 1/2) 1) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 im re) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64))))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(*.f64 #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
Outputs
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
Calls

1 calls:

7.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
42.8%2(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes22.0ms (0.1%)

Memory
5.4MiB live, 46.8MiB allocated
Counts
19 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (+.f64 (*.f64 re im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) #s(approx (+ (* re 1/2) 1) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 im re) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64))))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(*.f64 #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
Outputs
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)))))
Calls

3 calls:

9.0ms
(exp.f64 re)
6.0ms
(sin.f64 im)
6.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
34.1%1(exp.f64 re)
41.3%2(sin.f64 im)
42.3%2(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes6.0ms (0%)

Memory
15.3MiB live, 15.3MiB allocated
Counts
16 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (+.f64 (*.f64 re im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) #s(approx (+ (* re 1/2) 1) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 im re) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64))))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(*.f64 #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) #s(literal 1 binary64))))
Outputs
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
Calls

1 calls:

5.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
42.3%2(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes82.0ms (0.5%)

Memory
-25.8MiB live, 13.9MiB allocated
Counts
12 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (+.f64 (*.f64 re im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) #s(approx (+ (* re 1/2) 1) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 im re) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64))))))))
Outputs
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64))))))))
Calls

1 calls:

4.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
42.2%2(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes13.0ms (0.1%)

Memory
38.0MiB live, 38.0MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (+.f64 (*.f64 re im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) #s(approx (+ (* re 1/2) 1) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 im re) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
Outputs
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
Calls

3 calls:

4.0ms
im
4.0ms
(sin.f64 im)
4.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
38.7%2im
39.8%2(sin.f64 im)
40.2%2(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes67.0ms (0.4%)

Memory
-14.6MiB live, 24.8MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (+.f64 (*.f64 re im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) #s(approx (+ (* re 1/2) 1) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 im re) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)))
Outputs
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))))
Calls

2 calls:

4.0ms
(sin.f64 im)
4.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
38.1%2(sin.f64 im)
39.7%2(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes50.0ms (0.3%)

Memory
2.0MiB live, 41.5MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (+.f64 (*.f64 re im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) #s(approx (+ (* re 1/2) 1) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))))
Outputs
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))))
Calls

5 calls:

38.0ms
im
3.0ms
(sin.f64 im)
3.0ms
re
3.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
2.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
32.9%2(exp.f64 re)
32.9%2re
27.7%1(sin.f64 im)
27.7%1im
32.9%2(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes12.0ms (0.1%)

Memory
-7.6MiB live, 33.2MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (+.f64 (*.f64 re im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) #s(approx (+ (* re 1/2) 1) #s(literal 1 binary64)) im)))
Outputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
Calls

4 calls:

4.0ms
re
3.0ms
(sin.f64 im)
3.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
2.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
27.7%1(sin.f64 im)
27.7%1(exp.f64 re)
27.7%1re
27.7%1(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes9.0ms (0.1%)

Memory
-9.6MiB live, 29.7MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
Outputs
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
Calls

5 calls:

2.0ms
re
2.0ms
(sin.f64 im)
2.0ms
im
1.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
1.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
27.0%1im
27.0%1re
27.0%1(exp.f64 re)
27.0%1(*.f64 (exp.f64 re) (sin.f64 im))
27.0%1(sin.f64 im)
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes7.0ms (0%)

Memory
28.9MiB live, 28.9MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.f64 im re))))
Outputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.f64 im re))))
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
4.5%1(*.f64 (exp.f64 re) (sin.f64 im))
4.5%1(sin.f64 im)
4.5%1re
4.5%1im
4.5%1(exp.f64 re)
Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch2.0ms (0%)

Memory
-36.6MiB live, 2.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
1.0ms
0.9967650098029626
+inf
0.0ms
3.131940858503764e-103
3.6572292462603485e-96
0.0ms
-0.026644387695973465
0.0
0.0ms
-inf
-0.9961447502884689
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch1.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9967650098029626
+inf
0.0ms
0.0
6.1728627421075325e-304
0.0ms
-0.026644387695973465
0.0
0.0ms
-inf
-0.9961447502884689
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
6.1728627421075325e-304
0.0ms
-0.026644387695973465
0.0
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
6.1728627421075325e-304
0.0ms
-0.042776191766563686
-0.026644387695973465
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
6.1728627421075325e-304
0.0ms
-0.026644387695973465
0.0
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
6.1728627421075325e-304
0.0ms
-0.026644387695973465
0.0
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
6.1728627421075325e-304
0.0ms
-0.026644387695973465
0.0
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
6.1728627421075325e-304
0.0ms
-0.026644387695973465
0.0
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
6.1728627421075325e-304
0.0ms
-0.026644387695973465
0.0
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.008906249737770171
0.059253305047170746
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
6.1728627421075325e-304
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
6.1728627421075325e-304
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
6.1728627421075325e-304
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
6.1728627421075325e-304
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
6.1728627421075325e-304
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.1193767000468994e-10
0.059253305047170746
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
2.1193767000468994e-10
0.059253305047170746
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.1193767000468994e-10
0.059253305047170746
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
6.1728627421075325e-304
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.1193767000468994e-10
0.059253305047170746
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
0.9566209793718264
0.9967650098029626
Compiler

Compiled 10 to 10 computations (0% saved)

simplify21.0ms (0.1%)

Memory
18.1MiB live, 57.5MiB allocated
Algorithm
egg-herbie
Rules
94×*-commutative_binary64
18×+-commutative_binary64
16×sub-neg_binary64
14×distribute-lft-neg-in_binary64
14×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01861690
12391690
22581690
32731690
42841690
52881690
62891690
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 (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))))) #s(approx (sin im) (fma.f64 (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 5043456793138493/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))))) #s(approx (sin im) (fma.f64 (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (*.f64 im im) (*.f64 re (*.f64 re (*.f64 im im)))) (-.f64 im (*.f64 re im))))) (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) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) im)))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (*.f64 im im) (*.f64 re (*.f64 re (*.f64 im im)))) (-.f64 im (*.f64 re im))))) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) im)))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/144115188075855872 binary64)) (*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))))) #s(approx (sin im) (fma.f64 (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (*.f64 im im) (*.f64 re (*.f64 re (*.f64 im im)))) (-.f64 im (*.f64 re im))))) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) im)))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (*.f64 im im) (*.f64 re (*.f64 re (*.f64 im im)))) (-.f64 im (*.f64 re im))))) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) im)))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))) #s(approx (sin im) (fma.f64 im (*.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (*.f64 im im) (*.f64 re (*.f64 re (*.f64 im im)))) (-.f64 im (*.f64 re im))))) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) im)))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (*.f64 im im) (*.f64 re (*.f64 re (*.f64 im im)))) (-.f64 im (*.f64 re im))))) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) im)))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (*.f64 im im) (*.f64 re (*.f64 re (*.f64 im im)))) (-.f64 im (*.f64 re im))))) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (*.f64 im im) (*.f64 re (*.f64 re (*.f64 im im)))) (-.f64 im (*.f64 re im))))) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))))
(if (<=.f64 (sin.f64 im) #s(literal 5764607523034235/576460752303423488 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im))) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) (*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im))) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) (*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im))) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im))) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 7737125245533627/19342813113834066795298816 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im))) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 7737125245533627/19342813113834066795298816 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im))) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 7737125245533627/19342813113834066795298816 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im))) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im))) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 7737125245533627/19342813113834066795298816 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im))) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1080863910568919/1125899906842624 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.f64 im re))))
Outputs
(*.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 (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))))) #s(approx (sin im) (fma.f64 (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 5043456793138493/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))))) #s(approx (sin im) (fma.f64 (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 5043456793138493/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896 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 (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))))) #s(approx (sin im) (fma.f64 (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (*.f64 im im) (*.f64 re (*.f64 re (*.f64 im im)))) (-.f64 im (*.f64 re im))))) (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) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) im)))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (*.f64 im im) (*.f64 re (*.f64 re (*.f64 im im)))) (-.f64 im (*.f64 re im))))) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) im)))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (sin im) (fma.f64 (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (*.f64 im im) (*.f64 re (*.f64 re (*.f64 im im)))) (-.f64 im (*.f64 re im))))) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) im)))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/144115188075855872 binary64)) (*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))))) #s(approx (sin im) (fma.f64 (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (*.f64 im im) (*.f64 re (*.f64 re (*.f64 im im)))) (-.f64 im (*.f64 re im))))) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) im)))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (*.f64 im im) (*.f64 re (*.f64 re (*.f64 im im)))) (-.f64 im (*.f64 re im))))) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) im)))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))) #s(approx (sin im) (fma.f64 im (*.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (*.f64 im im) (*.f64 re (*.f64 re (*.f64 im im)))) (-.f64 im (*.f64 re im))))) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) im)))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (*.f64 im im) (*.f64 re (*.f64 re (*.f64 im im)))) (-.f64 im (*.f64 re im))))) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) im)))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (*.f64 im im) (*.f64 re (*.f64 re (*.f64 im im)))) (-.f64 im (*.f64 re im))))) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) im)))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (*.f64 im im) (*.f64 re (*.f64 re (*.f64 im im)))) (-.f64 im (*.f64 re im))))) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (*.f64 im im) (*.f64 re (*.f64 re (*.f64 im im)))) (-.f64 im (*.f64 re im))))) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (*.f64 im im) (*.f64 re (*.f64 re (*.f64 im im)))) (-.f64 im (*.f64 re im))))) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (*.f64 im im) (*.f64 re (*.f64 re (*.f64 im im)))) (-.f64 im (*.f64 re im))))) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))))
(if (<=.f64 (sin.f64 im) #s(literal 5764607523034235/576460752303423488 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))))
(if (<=.f64 (sin.f64 im) #s(literal 5764607523034235/576460752303423488 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) im))) #s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im))) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) (*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im))) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) (*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im))) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) (*.f64 #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) (*.f64 #s(approx (sin im) (fma.f64 im (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im))) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 7737125245533627/19342813113834066795298816 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im))) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 7737125245533627/19342813113834066795298816 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im))) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 7737125245533627/19342813113834066795298816 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im))) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im))) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 7737125245533627/19342813113834066795298816 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im))) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1080863910568919/1125899906842624 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.f64 re im))))

soundness2.3s (13.9%)

Memory
-30.9MiB live, 1 496.9MiB allocated
Rules
17 002×lower-fma.f64
17 002×lower-fma.f32
15 566×lower-fma.f64
15 566×lower-fma.f32
14 170×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071297
1221286
2586274
31574268
42436268
53110268
63581268
73732268
84021268
95977268
08264246
060354
098350
1382337
22305337
08285330
01522531
14822426
213102376
339232364
467222360
085302145
01452413
14742350
213602295
335592280
467402280
082682077
01061649
13281560
28581528
327281498
456851498
573171498
081351378
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 2 440 to 897 computations (63.2% saved)

preprocess153.0ms (0.9%)

Memory
17.6MiB live, 292.5MiB allocated
Remove

(negabs im)

Compiler

Compiled 2 466 to 288 computations (88.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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