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
0.5MiB live, 0.5MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 7 to 7 computations (0% saved)

sample1.0s (6.2%)

Memory
43.5MiB live, 1 308.2MiB allocated
Samples
779.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 534.0ms
ival-sin: 379.0ms (70.9% of total)
ival-exp: 82.0ms (15.3% of total)
ival-mult: 63.0ms (11.8% of total)
ival-true: 7.0ms (1.3% of total)
ival-assert: 3.0ms (0.6% of total)
Bogosity

explain118.0ms (0.7%)

Memory
-7.3MiB live, 151.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f64 (exp.f64 re) (sin.f64 im))
00-0-(sin.f64 im)
00-0-re
00-0-(exp.f64 re)
00-0-im
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
36.0ms512×0valid
Compiler

Compiled 33 to 19 computations (42.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-sin: 16.0ms (68.3% of total)
ival-exp: 4.0ms (17.1% of total)
ival-mult: 3.0ms (12.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess29.0ms (0.2%)

Memory
14.7MiB live, 55.7MiB allocated
Algorithm
egg-herbie
Rules
60×associate-*r*
52×unsub-neg
48×associate-*l*
42×distribute-lft-neg-in
38×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

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

(negabs im)

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.9MiB 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
8.6MiB live, 8.6MiB 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

localize27.0ms (0.2%)

Memory
-11.1MiB live, 59.3MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(sin.f64 im)
accuracy0
(exp.f64 re)
accuracy0.0234375
(*.f64 (exp.f64 re) (sin.f64 im))
Samples
19.0ms256×0valid
Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-sin: 8.0ms (65.9% of total)
ival-exp: 2.0ms (16.5% of total)
ival-mult: 2.0ms (16.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0%)

Memory
10.2MiB live, 10.2MiB 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))
0.0ms
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))

simplify399.0ms (2.4%)

Memory
37.0MiB live, 474.4MiB 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)

rewrite19.0ms (0.1%)

Memory
14.2MiB live, 47.8MiB 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
15.4MiB live, 15.4MiB allocated
Compiler

Compiled 393 to 47 computations (88% saved)

prune20.0ms (0.1%)

Memory
-14.5MiB live, 27.9MiB allocated
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New45651
Fresh000
Picked011
Done000
Total45752
Accuracy
100.0%
Counts
52 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (exp.f64 re) (sin.f64 im))
64.5%
(*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
70.2%
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im))
66.7%
(*.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))
50.3%
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im))
68.8%
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))
49.5%
#s(approx (* (exp re) (sin im)) (sin.f64 im))
Compiler

Compiled 135 to 83 computations (38.5% saved)

simplify15.0ms (0.1%)

Memory
-5.4MiB live, 31.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 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))) (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
(exp.f64 re)
cost-diff0
(*.f64 im (exp.f64 re))
cost-diff0
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))
cost-diff0
(sin.f64 im)
cost-diff0
#s(approx (* (exp re) (sin im)) (sin.f64 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))) (sin.f64 im))
Rules
448×lower-fma.f32
438×lower-fma.f64
182×lower-*.f32
174×lower-*.f64
128×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025149
043149
176149
2121149
3209149
4266149
5301149
0301149
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im))
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
re
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(sin.f64 im)
im
#s(approx (* (exp re) (sin im)) (sin.f64 im))
(sin.f64 im)
im
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))
(*.f64 im (exp.f64 re))
im
(exp.f64 re)
re
(*.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
Outputs
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im))
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
re
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(sin.f64 im)
im
#s(approx (* (exp re) (sin im)) (sin.f64 im))
(sin.f64 im)
im
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
(*.f64 im (exp.f64 re))
(*.f64 (exp.f64 re) im)
im
(exp.f64 re)
re
(*.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

localize82.0ms (0.5%)

Memory
28.6MiB live, 180.5MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
accuracy0
(sin.f64 im)
accuracy0.0234375
(*.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))
accuracy21.09513040603943
#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)
accuracy0.0234375
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im))
accuracy31.47170873740521
#s(approx (exp re) (+.f64 re #s(literal 1 binary64)))
accuracy0
(exp.f64 re)
accuracy0.0234375
(*.f64 im (exp.f64 re))
accuracy19.717966789376266
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))
accuracy0
(sin.f64 im)
accuracy32.11430916682722
#s(approx (* (exp re) (sin im)) (sin.f64 im))
accuracy0.04296875
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy0.04296875
(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))
accuracy18.850454668946252
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
Samples
50.0ms255×0valid
5.0ms5exit
Compiler

Compiled 106 to 22 computations (79.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-mult: 12.0ms (31.9% of total)
ival-sin: 8.0ms (21.3% of total)
ival-add: 7.0ms (18.6% of total)
adjust: 5.0ms (13.3% of total)
const: 4.0ms (10.6% of total)
ival-exp: 2.0ms (5.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series18.0ms (0.1%)

Memory
-26.1MiB live, 46.1MiB allocated
Counts
17 → 276
Calls
Call 1
Inputs
#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())
#s(alt #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (exp re) (sin im)) (sin.f64 im)) (patch #s(approx (* (exp re) (sin im)) (sin.f64 im)) #<representation binary64>) () ())
#s(alt (sin.f64 im) (patch (sin.f64 im) #<representation binary64>) () ())
#s(alt #s(approx (* (exp re) (sin im)) (*.f64 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 (*.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 (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>) () ())
Outputs
#s(alt (sin im) (taylor 0 re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (sin im))) (taylor 0 re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) (taylor 0 re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im))))))) (taylor 0 re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* im (exp re)) (taylor 0 im) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ())
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#s(alt (exp re) (taylor -inf re) (#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 1 (taylor 0 re) (#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 (+ 1 re) (taylor 0 re) (#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 (+ 1 (* re (+ 1 (* 1/2 re)))) (taylor 0 re) (#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 (+ 1 (* re (+ 1 (* 1/2 re)))) (taylor 0 re) (#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 (* 1/2 (pow re 2)) (taylor inf re) (#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 (* (pow re 2) (+ 1/2 (/ 1 re))) (taylor inf re) (#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 (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) (taylor inf re) (#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 (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) (taylor inf re) (#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 (* 1/2 (pow re 2)) (taylor -inf re) (#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 (* (pow re 2) (+ 1/2 (/ 1 re))) (taylor -inf re) (#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 (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) (taylor -inf re) (#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 (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) (taylor -inf re) (#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 1 (taylor 0 re) (#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 (+ 1 (* 1/2 re)) (taylor 0 re) (#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 (+ 1 (* 1/2 re)) (taylor 0 re) (#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 (+ 1 (* 1/2 re)) (taylor 0 re) (#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 (* 1/2 re) (taylor inf re) (#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 (* re (+ 1/2 (/ 1 re))) (taylor inf re) (#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 (* re (+ 1/2 (/ 1 re))) (taylor inf re) (#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 (* re (+ 1/2 (/ 1 re))) (taylor inf re) (#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 (* 1/2 re) (taylor -inf re) (#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 (* re (+ 1/2 (/ 1 re))) (taylor -inf re) (#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 (* re (+ 1/2 (/ 1 re))) (taylor -inf re) (#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 (* re (+ 1/2 (/ 1 re))) (taylor -inf re) (#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 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>) () ())) ())
Calls

69 calls:

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

simplify612.0ms (3.7%)

Memory
24.2MiB live, 619.9MiB allocated
Algorithm
egg-herbie
Rules
18 716×lower-fma.f64
18 716×lower-fma.f32
5 338×lower-*.f64
5 338×lower-*.f32
2 524×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite429.0ms (2.6%)

Memory
-10.0MiB live, 548.5MiB allocated
Rules
8 742×lower-fma.f32
8 732×lower-fma.f64
5 096×lower-*.f32
5 088×lower-*.f64
3 950×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025128
043128
1142128
2981128
08319128
Stop Event
iter limit
node limit
iter limit
Counts
17 → 388
Calls
Call 1
Inputs
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im))
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
(sin.f64 im)
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))
(*.f64 im (exp.f64 re))
(exp.f64 re)
(*.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))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
Outputs
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im))
(*.f64 (sin.f64 im) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))
(+.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))
(+.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) #s(literal 1 binary64))
(+.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) (+.f64 re #s(literal 1 binary64)))
(+.f64 (/.f64 (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 re re) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (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 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re)
(+.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 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 (*.f64 re re) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) (/.f64 (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 re re) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))))
(-.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))
(fma.f64 re #s(literal 1 binary64) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
(fma.f64 re (fma.f64 re (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 re (*.f64 re #s(literal 1/6 binary64))) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))
(fma.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) #s(literal 1 binary64))
(fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))
(fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 re #s(literal 1/6 binary64)) (*.f64 re re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #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 (*.f64 re re)) #s(literal 1/6 binary64) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 re (*.f64 re re) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 re re #s(literal 1 binary64)) re)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))
(fma.f64 (fma.f64 re (*.f64 re re) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 re re) re))) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))
(fma.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (+.f64 re #s(literal 1 binary64)))
(fma.f64 (*.f64 re re) (*.f64 re #s(literal 1/6 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #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 (*.f64 re re) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (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 re re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))
(fma.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64)))
(fma.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) re (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (fma.f64 re (*.f64 re re) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 re re #s(literal 1 binary64)) re))) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))
(fma.f64 (neg.f64 (fma.f64 re re #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 re) #s(literal 1 binary64))) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))
(fma.f64 (fma.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) (*.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) (*.f64 re (*.f64 re re))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re re) (*.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (*.f64 re (-.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))))) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (*.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 re (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 #s(literal 1 binary64) (*.f64 re re)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) re)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))
(fma.f64 (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 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 (*.f64 re (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) #s(literal 1 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(fma.f64 (*.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (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 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64)) re) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) #s(literal 1 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
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(*.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 re (-.f64 (*.f64 #s(literal 1/36 binary64) re) #s(literal 1/12 binary64))))))
(*.f64 (fma.f64 re (*.f64 #s(literal 1/36 binary64) re) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(*.f64 (neg.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 re (*.f64 #s(literal 1/36 binary64) re) #s(literal 1/4 binary64)) (*.f64 re #s(literal -1/12 binary64))))))
(*.f64 (neg.f64 (fma.f64 re (*.f64 #s(literal 1/36 binary64) re) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))))
(*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))

eval94.0ms (0.6%)

Memory
23.3MiB live, 177.5MiB allocated
Compiler

Compiled 14 735 to 1 590 computations (89.2% saved)

prune173.0ms (1%)

Memory
-2.8MiB live, 286.7MiB allocated
Pruning

20 alts after pruning (14 fresh and 6 done)

PrunedKeptTotal
New68313696
Fresh011
Picked055
Done011
Total68320703
Accuracy
100.0%
Counts
703 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (exp.f64 re) (sin.f64 im))
64.5%
(*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
70.2%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im))
70.2%
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im))
45.0%
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 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 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) im)))
44.6%
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 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)))
66.7%
(*.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))
43.3%
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
50.3%
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im))
35.0%
(*.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)))
68.8%
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))
42.6%
#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)))))
32.3%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))))
28.2%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
49.5%
#s(approx (* (exp re) (sin im)) (sin.f64 im))
40.5%
#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)))
40.6%
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) im)))
32.3%
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
32.8%
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)))
33.0%
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
Compiler

Compiled 499 to 276 computations (44.7% saved)

simplify28.0ms (0.2%)

Memory
-19.7MiB live, 57.4MiB 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 #s(literal -1/6 binary64) (*.f64 im im)) 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 #s(literal -1/6 binary64) (*.f64 im im))
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
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) 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 #s(literal 1/6 binary64) #s(literal 1/2 binary64))
cost-diff0
#s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))))
cost-diff0
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im))
cost-diff128
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))
Rules
480×lower-fma.f32
466×lower-fma.f64
280×lower-*.f32
266×lower-*.f64
136×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033279
057281
1103276
2172270
3304270
4369270
5386270
6420270
7420270
8426270
9426270
10432270
11432270
0432264
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im))
#s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))))
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
re
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
(*.f64 re re)
(+.f64 re #s(literal 1 binary64))
#s(literal 1 binary64)
(sin.f64 im)
im
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
(*.f64 im #s(approx (exp re) #s(literal 1 binary64)))
im
#s(approx (exp re) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* (exp re) (sin im)) #s(approx (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)
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) (fma.f64 re (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 #s(literal -1/6 binary64) (*.f64 im im)) 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 #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
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im))
#s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))))
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
re
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
(*.f64 re re)
(+.f64 re #s(literal 1 binary64))
#s(literal 1 binary64)
(sin.f64 im)
im
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
(*.f64 im #s(approx (exp re) #s(literal 1 binary64)))
im
#s(approx (exp re) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* (exp re) (sin im)) #s(approx (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)
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) (fma.f64 re (fma.f64 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 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(*.f64 #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 #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 #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)

localize154.0ms (0.9%)

Memory
27.4MiB live, 255.0MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
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))
accuracy21.09513040603943
#s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
accuracy30.549150352466246
#s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))
accuracy0.04296875
(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))
accuracy18.850454668946252
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
accuracy19.717966789376266
#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)))))
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))
accuracy30.549150352466246
#s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))
accuracy32.11430916682722
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
accuracy0.0234375
(*.f64 im #s(approx (exp re) #s(literal 1 binary64)))
accuracy19.717966789376266
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
accuracy32.217806917745946
#s(approx (exp re) #s(literal 1 binary64))
accuracy0.0234375
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im))
accuracy0.08203125
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))
accuracy0.1640625
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
accuracy18.850454668946252
#s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))))
Samples
72.0ms255×0valid
1.0ms5exit
Compiler

Compiled 167 to 30 computations (82% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-mult: 27.0ms (51.6% of total)
ival-add: 9.0ms (17.2% of total)
const: 7.0ms (13.4% of total)
ival-sin: 6.0ms (11.5% of total)
ival-exp: 2.0ms (3.8% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series22.0ms (0.1%)

Memory
-0.7MiB live, 40.1MiB allocated
Counts
20 → 324
Calls
Call 1
Inputs
#s(alt (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) (patch (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im)) #<representation binary64>) () ())
#s(alt #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (patch #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #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 (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (patch #s(approx (* (exp re) (sin im)) #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>) () ())
#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (patch (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (exp re) (fma.f64 re (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 (*.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 #s(literal -1/6 binary64) (*.f64 im im)) 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 #s(literal -1/6 binary64) (*.f64 im im)) 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 (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>) () ())
Outputs
#s(alt 1 (taylor 0 re) (#s(alt (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) (patch (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 re) (taylor 0 re) (#s(alt (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) (patch (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* re (+ 1 (* 1/2 re)))) (taylor 0 re) (#s(alt (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) (patch (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) (taylor 0 re) (#s(alt (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) (patch (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow re 3)) (taylor inf re) (#s(alt (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) (patch (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) (taylor inf re) (#s(alt (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) (patch (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) (taylor inf re) (#s(alt (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) (patch (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3)))))) (taylor inf re) (#s(alt (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) (patch (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow re 3)) (taylor -inf re) (#s(alt (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) (patch (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) (taylor -inf re) (#s(alt (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) (patch (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6))) (taylor -inf re) (#s(alt (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) (patch (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6))) (taylor -inf re) (#s(alt (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) (patch (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor 0 re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (sin im))) (taylor 0 re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) (taylor 0 re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im))))))) (taylor 0 re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* im (exp re)) (taylor 0 im) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re))))) (taylor 0 im) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re))))))) (taylor 0 im) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re)))))))) (taylor 0 im) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf im) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf im) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf im) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf im) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im)) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* re (+ 1/2 (* 1/6 re)))) (taylor 0 re) (#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 (* 1/6 (pow re 2)) (taylor inf re) (#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 (* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re)))) (taylor inf re) (#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 (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) (taylor inf re) (#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 (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) (taylor inf re) (#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 (* 1/6 (pow re 2)) (taylor -inf re) (#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 (* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re)))) (taylor -inf re) (#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 (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) (taylor -inf re) (#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 (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) (taylor -inf re) (#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>) () ())) ())
Calls

81 calls:

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

simplify313.0ms (1.9%)

Memory
9.0MiB live, 542.2MiB allocated
Algorithm
egg-herbie
Rules
19 824×lower-fma.f64
19 824×lower-fma.f32
5 636×lower-*.f64
5 636×lower-*.f32
2 518×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01312073
14201986
211891936
342281906
478821906
080471723
Stop Event
iter limit
node limit
Counts
324 → 320
Calls
Call 1
Inputs
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))
(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)
1/2
(+ 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))))
(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)
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))
(sin im)
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* im (exp re))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
im
(+ im (* im re))
(+ im (* re (+ im (* 1/2 (* im re)))))
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))
(sin im)
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* im (exp re))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* 1/2 re))))
(* 1/2 (pow re 2))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(* 1/2 (pow re 2))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
1
(+ 1 (* 1/2 re))
(+ 1 (* 1/2 re))
(+ 1 (* 1/2 re))
(* 1/2 re)
(* re (+ 1/2 (/ 1 re)))
(* re (+ 1/2 (/ 1 re)))
(* re (+ 1/2 (/ 1 re)))
(* 1/2 re)
(* re (+ 1/2 (/ 1 re)))
(* re (+ 1/2 (/ 1 re)))
(* re (+ 1/2 (/ 1 re)))
1
(+ 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)))))
Outputs
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 #s(literal 1 binary64) re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(* 1/6 (pow re 3))
(*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64))))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(fma.f64 (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))
(sin im)
(sin.f64 im)
(+ (sin im) (* re (sin im)))
(*.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) re))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(*.f64 (sin.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(*.f64 (sin.f64 im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(*.f64 (exp.f64 re) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(*.f64 (exp.f64 re) (fma.f64 (*.f64 im im) (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) im))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(*.f64 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 #s(literal 1 binary64) re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
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(*.f64 im (exp.f64 re))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(*.f64 (exp.f64 re) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(*.f64 (exp.f64 re) (fma.f64 (*.f64 im im) (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) im))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(*.f64 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 #s(literal 1 binary64) re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 #s(literal 1 binary64) re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(* 1/2 (pow re 2))
(*.f64 re (*.f64 re #s(literal 1/2 binary64)))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(* 1/2 (pow re 2))
(*.f64 re (*.f64 re #s(literal 1/2 binary64)))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 re))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* 1/2 re))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* 1/2 re))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(* 1/2 re)
(*.f64 re #s(literal 1/2 binary64))
(* re (+ 1/2 (/ 1 re)))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(* re (+ 1/2 (/ 1 re)))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(* re (+ 1/2 (/ 1 re)))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(* 1/2 re)
(*.f64 re #s(literal 1/2 binary64))
(* re (+ 1/2 (/ 1 re)))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(* re (+ 1/2 (/ 1 re)))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(* re (+ 1/2 (/ 1 re)))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
1
#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))

rewrite317.0ms (1.9%)

Memory
-61.1MiB live, 633.5MiB allocated
Rules
7 976×lower-fma.f32
7 962×lower-fma.f64
3 914×lower-*.f32
3 900×lower-*.f64
3 736×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033218
057220
1194211
21388211
08214207
Stop Event
iter limit
node limit
iter limit
Counts
20 → 547
Calls
Call 1
Inputs
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im))
#s(approx (exp re) (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 re #s(literal 1/6 binary64) #s(literal 1/2 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 (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))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(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 #s(literal -1/6 binary64) (*.f64 im im)) 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))
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
Outputs
(+.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))
(+.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re))
(+.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(+.f64 (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 #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 re re) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) (-.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) re)) (neg.f64 (/.f64 (*.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))) (-.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) re))))
(+.f64 (/.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))) (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 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) re)
(-.f64 (/.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 re re) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) (-.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) re)) (/.f64 (*.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))) (-.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) re)))
(-.f64 (/.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))))
(-.f64 (/.f64 (*.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))) (-.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) (/.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 re re) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) (-.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
(fma.f64 re #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))
(fma.f64 re (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 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (+.f64 re #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) re (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))
(fma.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(fma.f64 #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 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (+.f64 re #s(literal 1 binary64)))
(fma.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 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 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64)))
(fma.f64 (*.f64 re (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 #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 re re) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) re)) (neg.f64 (/.f64 (*.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))) (-.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) re))))
(fma.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 (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 re (*.f64 re re) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 re re #s(literal 1 binary64)) re)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (fma.f64 re (*.f64 re re) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 re re) re))) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (fma.f64 re re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (neg.f64 (fma.f64 re (*.f64 re re) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 re re #s(literal 1 binary64)) re))) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (neg.f64 (fma.f64 re re #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 re) #s(literal 1 binary64))) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (fma.f64 (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 re re) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) (*.f64 re (*.f64 re re))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 re re) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (-.f64 (*.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 (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))) (neg.f64 re))) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (neg.f64 re))) #s(literal 1 binary64))
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(/.f64 (neg.f64 (neg.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)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (neg.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)))) (neg.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (neg.f64 re) #s(literal 1 binary64))))
(/.f64 (fma.f64 (*.f64 re (*.f64 re re)) (*.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64)) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))))) (fma.f64 (*.f64 re re) (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (-.f64 (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re #s(literal 1/6 binary64)))) #s(literal 3 binary64)) (*.f64 (*.f64 re (*.f64 re re)) #s(literal 1/8 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re #s(literal 1/6 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re #s(literal 1/6 binary64)))) (-.f64 (*.f64 (*.f64 re re) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re #s(literal 1/6 binary64)))) (*.f64 re #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 re re) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) (-.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re #s(literal 1/6 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re #s(literal 1/6 binary64))))) (*.f64 (*.f64 re re) #s(literal 1/4 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re #s(literal 1/6 binary64)))) (*.f64 re #s(literal 1/2 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (+.f64 (/.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 (*.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))))))
(*.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)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 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 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(*.f64 (neg.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))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
(*.f64 (neg.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 #s(literal 1 binary64) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (neg.f64 re) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))

eval221.0ms (1.3%)

Memory
-6.3MiB live, 280.1MiB allocated
Compiler

Compiled 28 802 to 1 840 computations (93.6% saved)

prune238.0ms (1.4%)

Memory
25.4MiB live, 379.3MiB allocated
Pruning

36 alts after pruning (28 fresh and 8 done)

PrunedKeptTotal
New97221993
Fresh279
Picked325
Done066
Total977361 013
Accuracy
100.0%
Counts
1 013 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (exp.f64 re) (sin.f64 im))
70.2%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im))
70.2%
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im))
45.0%
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 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 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) im)))
44.6%
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 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)))
66.7%
(*.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))
13.4%
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))))
28.8%
(*.f64 #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) (*.f64 (*.f64 re re) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)) (-.f64 (fma.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
50.3%
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im))
35.0%
(*.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)))
18.5%
(*.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 #s(literal -1/6 binary64) (*.f64 im im)) im)))
18.5%
(*.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 #s(literal -1/6 binary64) (*.f64 im im)) im)))
68.8%
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))
42.6%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))))))
32.6%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
44.1%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (*.f64 re re)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (+.f64 re #s(literal 1 binary64))))))
32.2%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) re) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal -1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
42.6%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))))
42.6%
#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)))))
32.6%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re re #s(literal -1 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (*.f64 (+.f64 re #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (*.f64 re re)))) (*.f64 (+.f64 re #s(literal -1 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))))
32.3%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))))
18.0%
#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)))))
17.9%
#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))))))))
17.9%
#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))))))))
28.2%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
49.5%
#s(approx (* (exp re) (sin im)) (sin.f64 im))
41.6%
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re im) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) im)))
40.5%
#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)))
37.7%
#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)))
32.3%
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re im im)))
40.6%
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) im)))
32.8%
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)))
33.0%
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)))
33.0%
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 (*.f64 im #s(literal -1/6 binary64)) im) im)))
32.9%
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))))
14.0%
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))))
Compiler

Compiled 1 209 to 623 computations (48.5% saved)

simplify67.0ms (0.4%)

Memory
-15.5MiB live, 68.1MiB 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) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))))
cost-diff0
#s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) 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))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
cost-diff0
(fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im)
cost-diff0
(fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im)
cost-diff0
#s(approx (* im (exp re)) (fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im))
cost-diff0
#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)))
cost-diff0
(fma.f64 re im im)
cost-diff0
#s(approx (* im (exp re)) (fma.f64 re im im))
cost-diff0
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re im 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 (*.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)))
Rules
2 360×lower-fma.f32
2 336×lower-fma.f64
928×lower-*.f32
910×lower-*.f64
456×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049401
082401
1161401
2333384
3676384
41051384
51308384
61432384
71432384
81432384
91441384
101441384
01441375
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 (*.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)))
#s(approx (exp re) (fma.f64 re (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 (*.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))
(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)
(*.f64 im 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)))
(fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(*.f64 im #s(literal -1/5040 binary64))
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re im im)))
#s(approx (* im (exp re)) (fma.f64 re im im))
(fma.f64 re im im)
re
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 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im))
(fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im)
re
(fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im)
(*.f64 #s(literal 1/2 binary64) im)
#s(literal 1/2 binary64)
im
(*.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) (+.f64 re #s(literal 1 binary64)))
(+.f64 re #s(literal 1 binary64))
re
#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) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im 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) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))
#s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))
(*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))
im
(*.f64 #s(literal -1/6 binary64) (*.f64 im im))
#s(literal -1/6 binary64)
(*.f64 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 (*.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)))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 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 (fma.f64 im (*.f64 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 (*.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))
#s(approx (sin im) (fma.f64 (fma.f64 im (*.f64 im (fma.f64 im (*.f64 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) (*.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)
(fma.f64 (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)
(*.f64 im 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)))
(*.f64 im (fma.f64 im (*.f64 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 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))
(fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(*.f64 im #s(literal -1/5040 binary64))
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re im im)))
#s(approx (* im (exp re)) (fma.f64 re im im))
(fma.f64 re im im)
re
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 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im))
(fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im)
re
(fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im)
(*.f64 #s(literal 1/2 binary64) im)
#s(literal 1/2 binary64)
im
(*.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 (*.f64 im im) #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) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))
#s(approx (sin im) (fma.f64 im (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) im))
(fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)
(fma.f64 im (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) im)
im
(*.f64 #s(literal -1/6 binary64) (*.f64 im im))
(*.f64 (*.f64 im im) #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(*.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))) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.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))) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 #s(literal -1/6 binary64) (*.f64 im (*.f64 im 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) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))
#s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 #s(literal -1/6 binary64) (*.f64 im (*.f64 im im)))))
#s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))
#s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 #s(literal -1/6 binary64) (*.f64 im (*.f64 im im))))
(*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))
(*.f64 #s(literal -1/6 binary64) (*.f64 im (*.f64 im im)))
im
(*.f64 #s(literal -1/6 binary64) (*.f64 im im))
(*.f64 (*.f64 im im) #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(*.f64 im im)

localize171.0ms (1%)

Memory
-3.2MiB live, 234.1MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.1875
(*.f64 #s(literal -1/6 binary64) (*.f64 im im))
accuracy21.09513040603943
#s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
accuracy30.54915035246625
#s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))
accuracy31.197384978804592
#s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 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))
accuracy30.54915035246625
#s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))
accuracy31.47170873740521
#s(approx (exp re) (+.f64 re #s(literal 1 binary64)))
accuracy0
(*.f64 #s(literal 1/2 binary64) im)
accuracy0.05859375
(fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im)
accuracy19.717966789376266
#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)))
accuracy21.325896669812135
#s(approx (* im (exp re)) (fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im))
accuracy0
(fma.f64 re im im)
accuracy19.717966789376266
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re im im)))
accuracy26.69906660213009
#s(approx (* im (exp re)) (fma.f64 re im im))
accuracy0.1640625
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
accuracy0.203125
(*.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)))
accuracy18.850454668946252
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
accuracy30.564934577475597
#s(approx (sin im) (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))
Samples
95.0ms255×0valid
1.0ms5exit
Compiler

Compiled 242 to 44 computations (81.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-mult: 27.0ms (39.8% of total)
const: 17.0ms (25.1% of total)
ival-add: 14.0ms (20.7% of total)
ival-sin: 6.0ms (8.9% of total)
ival-exp: 2.0ms (3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series27.0ms (0.2%)

Memory
15.6MiB live, 50.8MiB allocated
Counts
27 → 444
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 (*.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))) (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 (*.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))) #<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 re im im))) (patch #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re im im))) #<representation binary64>) () ())
#s(alt #s(approx (* im (exp re)) (fma.f64 re im im)) (patch #s(approx (* im (exp re)) (fma.f64 re im im)) #<representation binary64>) () ())
#s(alt (fma.f64 re im im) (patch (fma.f64 re im im) #<representation binary64>) () ())
#s(alt #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im))) (patch #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))) #<representation binary64>) () ())
#s(alt #s(approx (* im (exp re)) (fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im)) (patch #s(approx (* im (exp re)) (fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im)) #<representation binary64>) () ())
#s(alt (fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im) (patch (fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im) #<representation binary64>) () ())
#s(alt (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) (patch (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) #<representation binary64>) () ())
#s(alt (*.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))) (patch (*.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))) #<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) (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) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im 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) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im 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 (*.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)) (patch #s(approx (sin im) (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)) #<representation binary64>) () ())
#s(alt (*.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))) (patch (*.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))) #<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 #s(literal 1/2 binary64) im) (patch (*.f64 #s(literal 1/2 binary64) 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 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 #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))) (patch #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))) #<representation binary64>) () ())
#s(alt #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))) (patch #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))) #<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 (*.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))) (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 (*.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))) #<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 (*.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))) (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 (*.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))) #<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 (*.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))) (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 (*.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))) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im))))))) (taylor 0 re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (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))) (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 (*.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))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (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))) (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 (*.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))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (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))) (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 (*.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))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (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))) (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 (*.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))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (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))) (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 (*.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))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (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))) (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 (*.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))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (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))) (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 (*.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))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (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))) (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 (*.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))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (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))) (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 (*.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))) #<representation binary64>) () ())) ())
#s(alt (* im (exp re)) (taylor 0 im) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (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))) (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 (*.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))) #<representation binary64>) () ())) ())
#s(alt (* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re))))) (taylor 0 im) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (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))) (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 (*.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))) #<representation binary64>) () ())) ())
#s(alt (* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re))))))) (taylor 0 im) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (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))) (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 (*.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))) #<representation binary64>) () ())) ())
#s(alt (* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re)))))))) (taylor 0 im) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (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))) (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 (*.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))) #<representation binary64>) () ())) ())
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#s(alt (sin im) (taylor -inf im) (#s(alt #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))) (patch #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor -inf im) (#s(alt #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))) (patch #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor -inf im) (#s(alt #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))) (patch #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))) #<representation binary64>) () ())) ())
Calls

111 calls:

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

simplify280.0ms (1.7%)

Memory
36.0MiB live, 387.5MiB allocated
Algorithm
egg-herbie
Rules
12 626×lower-fma.f64
12 626×lower-fma.f32
3 652×lower-*.f64
3 652×lower-*.f32
3 320×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01962863
16242746
217522707
344982690
081292427
Stop Event
iter limit
node limit
Counts
444 → 432
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
(+ im (* im re))
(+ im (* im re))
(+ im (* im re))
(* im re)
(* re (+ im (/ im re)))
(* re (+ im (/ im re)))
(* re (+ im (/ im re)))
(* im re)
(* -1 (* re (+ (* -1 im) (* -1 (/ im re)))))
(* -1 (* re (+ (* -1 im) (* -1 (/ im re)))))
(* -1 (* re (+ (* -1 im) (* -1 (/ im re)))))
(* im (+ 1 re))
(* im (+ 1 re))
(* im (+ 1 re))
(* im (+ 1 re))
(* im (+ 1 re))
(* im (+ 1 re))
(* im (+ 1 re))
(* im (+ 1 re))
(* -1 (* im (- (* -1 re) 1)))
(* -1 (* im (- (* -1 re) 1)))
(* -1 (* im (- (* -1 re) 1)))
(* -1 (* im (- (* -1 re) 1)))
(sin im)
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* im (exp re))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* im (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
(+ im (* im re))
(+ im (* re (+ im (* 1/2 (* im re)))))
(+ im (* re (+ im (* 1/2 (* im re)))))
(* 1/2 (* im (pow re 2)))
(* (pow re 2) (+ (* 1/2 im) (/ im re)))
(* (pow re 2) (+ (* 1/2 im) (+ (/ im re) (/ im (pow re 2)))))
(* (pow re 2) (+ (* 1/2 im) (+ (/ im re) (/ im (pow re 2)))))
(* 1/2 (* im (pow re 2)))
(* (pow re 2) (+ (* 1/2 im) (/ im re)))
(* (pow re 2) (+ (* -1 (/ (+ (* -1 im) (* -1 (/ im re))) re)) (* 1/2 im)))
(* (pow re 2) (+ (* -1 (/ (+ (* -1 im) (* -1 (/ im re))) re)) (* 1/2 im)))
(* im (+ 1 (* re (+ 1 (* 1/2 re)))))
(* im (+ 1 (* re (+ 1 (* 1/2 re)))))
(* im (+ 1 (* re (+ 1 (* 1/2 re)))))
(* im (+ 1 (* re (+ 1 (* 1/2 re)))))
(* im (+ 1 (* re (+ 1 (* 1/2 re)))))
(* im (+ 1 (* re (+ 1 (* 1/2 re)))))
(* im (+ 1 (* re (+ 1 (* 1/2 re)))))
(* im (+ 1 (* re (+ 1 (* 1/2 re)))))
(* -1 (* im (- (* re (- (* -1/2 re) 1)) 1)))
(* -1 (* im (- (* re (- (* -1/2 re) 1)) 1)))
(* -1 (* im (- (* re (- (* -1/2 re) 1)) 1)))
(* -1 (* im (- (* re (- (* -1/2 re) 1)) 1)))
im
(+ im (* 1/2 (* im re)))
(+ im (* 1/2 (* im re)))
(+ im (* 1/2 (* im re)))
(* 1/2 (* im re))
(* re (+ (* 1/2 im) (/ im re)))
(* re (+ (* 1/2 im) (/ im re)))
(* re (+ (* 1/2 im) (/ im re)))
(* 1/2 (* im re))
(* -1 (* re (+ (* -1 (/ im re)) (* -1/2 im))))
(* -1 (* re (+ (* -1 (/ im re)) (* -1/2 im))))
(* -1 (* re (+ (* -1 (/ im re)) (* -1/2 im))))
(* im (+ 1 (* 1/2 re)))
(* im (+ 1 (* 1/2 re)))
(* im (+ 1 (* 1/2 re)))
(* im (+ 1 (* 1/2 re)))
(* im (+ 1 (* 1/2 re)))
(* im (+ 1 (* 1/2 re)))
(* im (+ 1 (* 1/2 re)))
(* im (+ 1 (* 1/2 re)))
(* -1 (* im (- (* -1/2 re) 1)))
(* -1 (* im (- (* -1/2 re) 1)))
(* -1 (* im (- (* -1/2 re) 1)))
(* -1 (* im (- (* -1/2 re) 1)))
(sin im)
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* im (exp re))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
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)
(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 im)
(* im (- (* 1/120 (pow im 2)) 1/6))
(* im (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))
(* im (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))
(* -1/5040 (pow im 5))
(* (pow im 5) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(* (pow im 5) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4)))))
(* (pow im 5) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4)))))
(* -1/5040 (pow im 5))
(* -1 (* (pow im 5) (- 1/5040 (* 1/120 (/ 1 (pow im 2))))))
(* -1 (* (pow im 5) (- (+ 1/5040 (/ 1/6 (pow im 4))) (* 1/120 (/ 1 (pow im 2))))))
(* -1 (* (pow im 5) (- (+ 1/5040 (/ 1/6 (pow im 4))) (* 1/120 (/ 1 (pow im 2))))))
1/2
(+ 1/2 (* 1/6 re))
(+ 1/2 (* 1/6 re))
(+ 1/2 (* 1/6 re))
(* 1/6 re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* 1/6 re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* 1/2 im)
(* 1/2 im)
(* 1/2 im)
(* 1/2 im)
(* 1/2 im)
(* 1/2 im)
(* 1/2 im)
(* 1/2 im)
(* 1/2 im)
(* 1/2 im)
(* 1/2 im)
(* 1/2 im)
(* -1/6 (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 (* -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)))))
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)))))
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)))))))
(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 (*.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 im (*.f64 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)
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1
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re
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(* re (+ 1 (/ 1 re)))
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1
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im
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(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
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1/2
#s(literal 1/2 binary64)
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(* re (+ 1/6 (* 1/2 (/ 1 re))))
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(* 1/6 re)
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im
(* im (+ 1 (* -1/6 (pow im 2))))
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im
(* im (+ 1 (* -1/6 (pow im 2))))
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(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(fma.f64 (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)
(sin im)
(sin.f64 im)
(sin im)
(sin.f64 im)
(sin im)
(sin.f64 im)
(sin im)
(sin.f64 im)
(sin im)
(sin.f64 im)
(sin im)
(sin.f64 im)
(sin im)
(sin.f64 im)
(sin im)
(sin.f64 im)

rewrite322.0ms (1.9%)

Memory
9.3MiB live, 439.7MiB allocated
Rules
6 592×lower-fma.f32
6 568×lower-fma.f64
4 050×lower-*.f32
4 032×lower-*.f64
3 226×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049320
082320
1308306
22257306
08315298
Stop Event
iter limit
node limit
iter limit
Counts
27 → 370
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 (*.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)))
#s(approx (exp re) (fma.f64 re (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 re im im)))
#s(approx (* im (exp re)) (fma.f64 re im im))
(fma.f64 re im 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 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im))
(fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im)
(fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im)
(*.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) (+.f64 re #s(literal 1 binary64)))
(+.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) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im 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 (*.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))
(*.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)))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) im)
(*.f64 #s(literal -1/6 binary64) (*.f64 im im))
(fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)
#s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))
#s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 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 (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)) (*.f64 im (*.f64 im im)) im)))
(*.f64 #s(approx (sin im) (fma.f64 (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)) (*.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))))
#s(approx (exp re) (fma.f64 re (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 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re))) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re))) (/.f64 (*.f64 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re))) (-.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re))))
(fma.f64 re (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 (*.f64 re re) (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 re (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))) re)) (fma.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (*.f64 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re))) #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 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)) #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 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re))) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 re re) (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 re (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))) re)))
(/.f64 (fma.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (*.f64 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re))) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re))))
(/.f64 (fma.f64 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (*.f64 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re))) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 re re) (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 re (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))) re))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (*.f64 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re))) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re))) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)))))
(/.f64 (neg.f64 (fma.f64 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)) #s(literal -1 binary64))) (neg.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 re re) (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 re (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))) re)) (fma.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (*.f64 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re))) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)) #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)))) (-.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)))
(/.f64 (-.f64 (*.f64 (*.f64 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re))) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (*.f64 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re))) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 re re) (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 re (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))) re)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re))))) (neg.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))))
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(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) (*.f64 im im)))) (fma.f64 im (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) (neg.f64 im))) (*.f64 (fma.f64 im (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) (neg.f64 im)) (*.f64 im im))) (*.f64 (fma.f64 im (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) (neg.f64 im)) (fma.f64 im (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) (neg.f64 im))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 im (*.f64 im im) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) (*.f64 im im)))))))) (neg.f64 (neg.f64 (fma.f64 im (-.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal -1/6 binary64)))) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) (*.f64 im im))))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) (*.f64 im im))) (neg.f64 (*.f64 im im))))) (neg.f64 (neg.f64 (fma.f64 im (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) (neg.f64 im)))))
(/.f64 (neg.f64 (-.f64 (*.f64 im im) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) (*.f64 im im)))))) (neg.f64 (-.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal -1/6 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) (*.f64 im im)))) (fma.f64 im (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) (neg.f64 im))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 im im) (fma.f64 im (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) (neg.f64 im))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) (*.f64 im im)))) (fma.f64 im (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) (neg.f64 im))) (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) (*.f64 im im)))) (fma.f64 im (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) (neg.f64 im))) (fma.f64 (/.f64 (*.f64 im im) (fma.f64 im (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) (neg.f64 im))) (/.f64 (*.f64 im im) (fma.f64 im (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) (neg.f64 im))) (*.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) (*.f64 im im)))) (fma.f64 im (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) (neg.f64 im))) (/.f64 (*.f64 im im) (fma.f64 im (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) (neg.f64 im)))))))
(pow.f64 (/.f64 (fma.f64 im (-.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal -1/6 binary64)))) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) (*.f64 im im))))) (fma.f64 im (*.f64 im im) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) (*.f64 im im))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 im (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) (neg.f64 im)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) (*.f64 im im))) (neg.f64 (*.f64 im im)))) #s(literal -1 binary64))
(*.f64 (fma.f64 im (*.f64 im im) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) (*.f64 im im)))))) (/.f64 #s(literal 1 binary64) (fma.f64 im (-.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal -1/6 binary64)))) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) (*.f64 im im)))))))
(*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) (*.f64 im im))) (neg.f64 (*.f64 im im))) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) (neg.f64 im))))
(*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)
#s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 (*.f64 im im) #s(literal -1/6 binary64))))
#s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 (*.f64 im im) #s(literal -1/6 binary64)))))

eval108.0ms (0.6%)

Memory
-8.5MiB live, 227.6MiB allocated
Compiler

Compiled 20 984 to 1 451 computations (93.1% saved)

prune144.0ms (0.9%)

Memory
-22.4MiB live, 282.8MiB allocated
Pruning

42 alts after pruning (33 fresh and 9 done)

PrunedKeptTotal
New80315818
Fresh51823
Picked415
Done088
Total81242854
Accuracy
100.0%
Counts
854 → 42
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (exp.f64 re) (sin.f64 im))
70.2%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im))
70.2%
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im))
45.0%
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 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) (fma.f64 (*.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) im (*.f64 im #s(literal -1/6 binary64))) im)))
12.9%
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))))
66.7%
(*.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))
31.8%
(*.f64 #s(approx (exp re) (/.f64 (fma.f64 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)) #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 (sin im) (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)))
50.3%
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im))
15.5%
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))))
19.6%
(*.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 (*.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)))
13.4%
(*.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) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))))
13.4%
(*.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) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))))
69.1%
#s(approx (* (exp re) (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)))
68.8%
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))
42.6%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))))))
32.6%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
44.1%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (*.f64 re re)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (+.f64 re #s(literal 1 binary64))))))
32.2%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) re) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal -1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
42.6%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))))
42.6%
#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)))))
32.6%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re re #s(literal -1 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (*.f64 (+.f64 re #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (*.f64 re re)))) (*.f64 (+.f64 re #s(literal -1 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))))
32.3%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))))
18.0%
#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)))))
17.9%
#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))))))))
17.9%
#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))))))))
28.2%
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))
49.5%
#s(approx (* (exp re) (sin im)) (sin.f64 im))
41.6%
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re im) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) im)))
37.7%
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) im)))
40.5%
#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)))
32.3%
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re im im)))
12.5%
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 im (-.f64 im (*.f64 re im)) (*.f64 (*.f64 im im) (*.f64 re re))) (fma.f64 im (*.f64 im im) (*.f64 (*.f64 re im) (*.f64 (*.f64 im im) (*.f64 re re))))))))
22.7%
#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))))))
32.3%
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (+.f64 (*.f64 re im) im)))
16.2%
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) im) (*.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))))
13.2%
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) im) (*.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 im re))))))
8.0%
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re im) im) (*.f64 im re))))
32.8%
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)))
33.0%
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)))
33.0%
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 (*.f64 im #s(literal -1/6 binary64)) im) im)))
32.9%
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))))
14.0%
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))))
Compiler

Compiled 1 695 to 557 computations (67.1% saved)

regimes84.0ms (0.5%)

Memory
15.8MiB live, 170.3MiB allocated
Counts
56 → 1
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re im) 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)) (fma.f64 re im 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 (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) im) (*.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 im re))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 (*.f64 im #s(literal -1/6 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) im) (*.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) 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 (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 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))))))))
#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 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re im) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #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 (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) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))))
(*.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 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 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) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im 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 #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) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #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 #s(literal -1/6 binary64) (*.f64 im 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))) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.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))) #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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 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 #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 (/.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 (*.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 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (*.f64 re re)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (+.f64 re #s(literal 1 binary64))))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (sin im) (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)))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 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 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 (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) (fma.f64 (*.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) re) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal -1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re re #s(literal -1 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (*.f64 (+.f64 re #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (*.f64 re re)))) (*.f64 (+.f64 re #s(literal -1 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 im (-.f64 im (*.f64 re im)) (*.f64 (*.f64 im im) (*.f64 re re))) (fma.f64 im (*.f64 im im) (*.f64 (*.f64 re im) (*.f64 (*.f64 im im) (*.f64 re 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) (/.f64 (fma.f64 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)) #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 (sin im) (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)))
(*.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 #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) (*.f64 (*.f64 re re) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)) (-.f64 (fma.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im))
(*.f64 (exp.f64 re) (sin.f64 im))
#s(approx (* (exp re) (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)))
Outputs
(*.f64 (exp.f64 re) (sin.f64 im))
Calls

5 calls:

18.0ms
re
18.0ms
(sin.f64 im)
16.0ms
im
15.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
13.0ms
(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)

regimes85.0ms (0.5%)

Memory
-23.9MiB live, 166.5MiB allocated
Counts
54 → 4
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re im) 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)) (fma.f64 re im 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 (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) im) (*.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 im re))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 (*.f64 im #s(literal -1/6 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) im) (*.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) 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 (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 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))))))))
#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 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re im) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #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 (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) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))))
(*.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 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 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) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im 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 #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) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #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 #s(literal -1/6 binary64) (*.f64 im 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))) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.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))) #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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 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 #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 (/.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 (*.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 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (*.f64 re re)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (+.f64 re #s(literal 1 binary64))))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (sin im) (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)))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 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 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 (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) (fma.f64 (*.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) re) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal -1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re re #s(literal -1 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (*.f64 (+.f64 re #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (*.f64 re re)))) (*.f64 (+.f64 re #s(literal -1 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 im (-.f64 im (*.f64 re im)) (*.f64 (*.f64 im im) (*.f64 re re))) (fma.f64 im (*.f64 im im) (*.f64 (*.f64 re im) (*.f64 (*.f64 im im) (*.f64 re 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) (/.f64 (fma.f64 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)) #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 (sin im) (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)))
(*.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 #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) (*.f64 (*.f64 re re) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)) (-.f64 (fma.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im))
Outputs
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im))
(*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im))
Calls

5 calls:

20.0ms
im
15.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
15.0ms
(sin.f64 im)
15.0ms
re
14.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
98.2%4re
85.3%2im
99.3%5(*.f64 (exp.f64 re) (sin.f64 im))
91.6%2(exp.f64 re)
85.3%3(sin.f64 im)
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes33.0ms (0.2%)

Memory
28.2MiB live, 65.5MiB allocated
Counts
52 → 5
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re im) 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)) (fma.f64 re im 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 (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) im) (*.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 im re))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 (*.f64 im #s(literal -1/6 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) im) (*.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) 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 (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 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))))))))
#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 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re im) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #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 (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) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))))
(*.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 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 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) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im 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 #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) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #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 #s(literal -1/6 binary64) (*.f64 im 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))) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.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))) #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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 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 #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 (/.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 (*.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 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (*.f64 re re)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (+.f64 re #s(literal 1 binary64))))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (sin im) (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)))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 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 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 (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) (fma.f64 (*.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) re) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal -1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re re #s(literal -1 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (*.f64 (+.f64 re #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (*.f64 re re)))) (*.f64 (+.f64 re #s(literal -1 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 im (-.f64 im (*.f64 re im)) (*.f64 (*.f64 im im) (*.f64 re re))) (fma.f64 im (*.f64 im im) (*.f64 (*.f64 re im) (*.f64 (*.f64 im im) (*.f64 re 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) (/.f64 (fma.f64 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)) #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 (sin im) (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)))
(*.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 #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) (*.f64 (*.f64 re re) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)) (-.f64 (fma.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
Outputs
(*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))
Calls

2 calls:

16.0ms
re
13.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
99.3%5(*.f64 (exp.f64 re) (sin.f64 im))
96.6%4re
Compiler

Compiled 10 to 7 computations (30% saved)

regimes18.0ms (0.1%)

Memory
-4.4MiB live, 32.3MiB allocated
Counts
51 → 5
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re im) 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)) (fma.f64 re im 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 (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) im) (*.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 im re))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 (*.f64 im #s(literal -1/6 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) im) (*.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) 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 (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 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))))))))
#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 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re im) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #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 (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) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))))
(*.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 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 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) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im 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 #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) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #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 #s(literal -1/6 binary64) (*.f64 im 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))) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.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))) #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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 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 #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 (/.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 (*.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 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (*.f64 re re)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (+.f64 re #s(literal 1 binary64))))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (sin im) (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)))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 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 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 (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) (fma.f64 (*.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) re) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal -1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re re #s(literal -1 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (*.f64 (+.f64 re #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (*.f64 re re)))) (*.f64 (+.f64 re #s(literal -1 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 im (-.f64 im (*.f64 re im)) (*.f64 (*.f64 im im) (*.f64 re re))) (fma.f64 im (*.f64 im im) (*.f64 (*.f64 re im) (*.f64 (*.f64 im im) (*.f64 re 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) (/.f64 (fma.f64 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)) #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 (sin im) (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)))
(*.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 #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) (*.f64 (*.f64 re re) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)) (-.f64 (fma.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) 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 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (sin im) (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)))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))
Calls

1 calls:

15.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
98.9%5(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes29.0ms (0.2%)

Memory
-10.0MiB live, 34.4MiB allocated
Counts
49 → 5
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re im) 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)) (fma.f64 re im 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 (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) im) (*.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 im re))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 (*.f64 im #s(literal -1/6 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) im) (*.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) 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 (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 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))))))))
#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 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re im) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #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 (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) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))))
(*.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 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 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) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im 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 #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) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #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 #s(literal -1/6 binary64) (*.f64 im 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))) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.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))) #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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 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 #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 (/.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 (*.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 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (*.f64 re re)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (+.f64 re #s(literal 1 binary64))))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (sin im) (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)))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 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 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 (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) (fma.f64 (*.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) re) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal -1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re re #s(literal -1 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (*.f64 (+.f64 re #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (*.f64 re re)))) (*.f64 (+.f64 re #s(literal -1 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 im (-.f64 im (*.f64 re im)) (*.f64 (*.f64 im im) (*.f64 re re))) (fma.f64 im (*.f64 im im) (*.f64 (*.f64 re im) (*.f64 (*.f64 im im) (*.f64 re 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) (/.f64 (fma.f64 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)) #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 (sin im) (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)))
Outputs
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (sin im) (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)))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))
Calls

1 calls:

26.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
98.9%5(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes46.0ms (0.3%)

Memory
-5.7MiB live, 30.5MiB allocated
Counts
47 → 5
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re im) 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)) (fma.f64 re im 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 (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) im) (*.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 im re))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 (*.f64 im #s(literal -1/6 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) im) (*.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) 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 (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 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))))))))
#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 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re im) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #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 (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) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))))
(*.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 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 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) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im 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 #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) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #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 #s(literal -1/6 binary64) (*.f64 im 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))) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.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))) #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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 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 #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 (/.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 (*.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 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (*.f64 re re)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (+.f64 re #s(literal 1 binary64))))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (sin im) (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)))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 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 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 (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) (fma.f64 (*.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) re) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal -1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re re #s(literal -1 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (*.f64 (+.f64 re #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (*.f64 re re)))) (*.f64 (+.f64 re #s(literal -1 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 im (-.f64 im (*.f64 re im)) (*.f64 (*.f64 im im) (*.f64 re re))) (fma.f64 im (*.f64 im im) (*.f64 (*.f64 re im) (*.f64 (*.f64 im im) (*.f64 re re))))))))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))
Outputs
(*.f64 #s(approx (exp re) #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 (*.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)))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))
Calls

1 calls:

44.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
98.6%5(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes180.0ms (1.1%)

Memory
0.7MiB live, 116.5MiB allocated
Counts
46 → 5
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re im) 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)) (fma.f64 re im 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 (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) im) (*.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 im re))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 (*.f64 im #s(literal -1/6 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) im) (*.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) 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 (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 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))))))))
#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 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re im) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #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 (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) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))))
(*.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 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 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) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im 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 #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) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #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 #s(literal -1/6 binary64) (*.f64 im 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))) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.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))) #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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 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 #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 (/.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 (*.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 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (*.f64 re re)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (+.f64 re #s(literal 1 binary64))))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (sin im) (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)))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 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 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 (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) (fma.f64 (*.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) re) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal -1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re re #s(literal -1 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (*.f64 (+.f64 re #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (*.f64 re re)))) (*.f64 (+.f64 re #s(literal -1 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 im (-.f64 im (*.f64 re im)) (*.f64 (*.f64 im im) (*.f64 re re))) (fma.f64 im (*.f64 im im) (*.f64 (*.f64 re im) (*.f64 (*.f64 im im) (*.f64 re 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 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (sin im) (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)))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (*.f64 re re)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (+.f64 re #s(literal 1 binary64))))))
Calls

5 calls:

57.0ms
im
38.0ms
re
13.0ms
(sin.f64 im)
12.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
10.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
59.9%3(sin.f64 im)
59.7%2im
72.2%3(exp.f64 re)
72.2%3re
79.5%5(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes141.0ms (0.8%)

Memory
30.3MiB live, 103.4MiB allocated
Counts
45 → 3
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re im) 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)) (fma.f64 re im 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 (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) im) (*.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 im re))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 (*.f64 im #s(literal -1/6 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) im) (*.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) 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 (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 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))))))))
#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 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re im) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #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 (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) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))))
(*.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 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 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) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im 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 #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) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #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 #s(literal -1/6 binary64) (*.f64 im 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))) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.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))) #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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 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 #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 (/.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 (*.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 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (*.f64 re re)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (+.f64 re #s(literal 1 binary64))))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (sin im) (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)))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 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 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 (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) (fma.f64 (*.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) im (*.f64 im #s(literal -1/6 binary64))) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) re) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal -1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re re #s(literal -1 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (*.f64 (+.f64 re #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (*.f64 re re)))) (*.f64 (+.f64 re #s(literal -1 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 im (-.f64 im (*.f64 re im)) (*.f64 (*.f64 im im) (*.f64 re re))) (fma.f64 im (*.f64 im im) (*.f64 (*.f64 re im) (*.f64 (*.f64 im im) (*.f64 re re))))))))
Outputs
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (sin im) (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)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (*.f64 re re)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (+.f64 re #s(literal 1 binary64))))))
Calls

5 calls:

57.0ms
re
47.0ms
im
13.0ms
(sin.f64 im)
11.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
10.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
53.0%2(sin.f64 im)
49.3%3im
51.1%2(exp.f64 re)
51.1%2re
59.2%3(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes42.0ms (0.3%)

Memory
0.7MiB live, 33.4MiB allocated
Counts
38 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re im) 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)) (fma.f64 re im 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 (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) im) (*.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 im re))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 (*.f64 im #s(literal -1/6 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) im) (*.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) 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 (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 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))))))))
#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 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re im) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #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 (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) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))))
(*.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 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 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) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im 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 #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) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #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 #s(literal -1/6 binary64) (*.f64 im 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))) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.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))) #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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 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 #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 (/.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 (*.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 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (*.f64 re re)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (+.f64 re #s(literal 1 binary64))))))
Outputs
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (*.f64 re re)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (+.f64 re #s(literal 1 binary64))))))
Calls

1 calls:

40.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
57.5%2(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes68.0ms (0.4%)

Memory
-10.5MiB live, 27.4MiB allocated
Counts
37 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re im) 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)) (fma.f64 re im 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 (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) im) (*.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 im re))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 (*.f64 im #s(literal -1/6 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) im) (*.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) 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 (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 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))))))))
#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 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re im) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #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 (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) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))))
(*.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 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 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) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im 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 #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) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #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 #s(literal -1/6 binary64) (*.f64 im 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))) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.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))) #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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 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 #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 (/.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 (*.f64 re im) im) (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im))))))
Outputs
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))))))
Calls

1 calls:

66.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
56.0%2(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes8.0ms (0%)

Memory
17.1MiB live, 17.1MiB allocated
Counts
23 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re im) 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)) (fma.f64 re im 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 (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) im) (*.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 im re))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 (*.f64 im #s(literal -1/6 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) im) (*.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) 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 (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 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))))))))
#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 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re im) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #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 (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) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))))
(*.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)))
Outputs
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 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

1 calls:

6.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
56.0%2(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes54.0ms (0.3%)

Memory
-21.2MiB live, 17.5MiB allocated
Counts
21 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re im) 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)) (fma.f64 re im 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 (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) im) (*.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 im re))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 (*.f64 im #s(literal -1/6 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) im) (*.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) 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 (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 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))))))))
#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 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re im) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #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 (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) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 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

1 calls:

6.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
54.4%2(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes7.0ms (0%)

Memory
15.9MiB live, 15.9MiB allocated
Counts
20 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re im) 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)) (fma.f64 re im 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 (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) im) (*.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 im re))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 (*.f64 im #s(literal -1/6 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) im) (*.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) 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 (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 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))))))))
#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 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re im) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) im)))
Outputs
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re im) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) im)))
Calls

1 calls:

6.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
53.3%2(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes61.0ms (0.4%)

Memory
-8.3MiB live, 30.5MiB allocated
Counts
19 → 3
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re im) 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)) (fma.f64 re im 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 (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) im) (*.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 im re))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 (*.f64 im #s(literal -1/6 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) im) (*.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) 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 (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 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))))))))
#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 (*.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) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 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) #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

2 calls:

54.0ms
(sin.f64 im)
5.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
46.7%2(sin.f64 im)
54.5%3(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes6.0ms (0%)

Memory
12.6MiB live, 12.6MiB allocated
Counts
18 → 3
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re im) 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)) (fma.f64 re im 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 (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) im) (*.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 im re))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 (*.f64 im #s(literal -1/6 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) im) (*.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) 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 (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 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))))))))
#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)))))
Outputs
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)))))
Calls

1 calls:

5.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
54.3%3(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes6.0ms (0%)

Memory
11.0MiB live, 11.0MiB allocated
Counts
17 → 3
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re im) 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)) (fma.f64 re im 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 (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) im) (*.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 im re))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 (*.f64 im #s(literal -1/6 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) im) (*.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) 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 (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 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))))))))
Outputs
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64))))))))
Calls

1 calls:

5.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
54.3%3(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes47.0ms (0.3%)

Memory
-30.5MiB live, 8.8MiB allocated
Counts
15 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re im) 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)) (fma.f64 re im 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 (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) im) (*.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 im re))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 (*.f64 im #s(literal -1/6 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) im) (*.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) 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 (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) im)))
Outputs
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) im)))
Calls

1 calls:

46.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
52.4%2(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes12.0ms (0.1%)

Memory
15.5MiB live, 15.5MiB allocated
Counts
12 → 3
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re im) 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)) (fma.f64 re im 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 (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) im) (*.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 im re))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 (*.f64 im #s(literal -1/6 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) im) (*.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))))
Outputs
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) im) (*.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))))
Calls

3 calls:

4.0ms
re
4.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
3.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
47.5%3re
46.6%3(exp.f64 re)
52.3%3(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes4.0ms (0%)

Memory
5.8MiB live, 5.8MiB allocated
Counts
11 → 3
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re im) 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)) (fma.f64 re im 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 (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) im) (*.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 im re))))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 (*.f64 im #s(literal -1/6 binary64)) im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)))
Outputs
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) im) (*.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 im re))))))
Calls

1 calls:

4.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
49.3%3(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes56.0ms (0.3%)

Memory
-22.1MiB live, 20.7MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re im) 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)) (fma.f64 re im 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 (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))))
Outputs
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))))
Calls

5 calls:

44.0ms
(exp.f64 re)
3.0ms
(sin.f64 im)
3.0ms
im
3.0ms
re
3.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
38.3%2(exp.f64 re)
38.3%2re
38.3%2(sin.f64 im)
36.0%3im
43.9%2(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes13.0ms (0.1%)

Memory
21.1MiB live, 21.1MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re im) 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)) (fma.f64 re im im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (+.f64 (*.f64 re im) im)))
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))))
Outputs
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))))
Calls

5 calls:

3.0ms
(sin.f64 im)
3.0ms
im
3.0ms
re
2.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
2.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
32.3%1im
32.3%1re
32.3%1(exp.f64 re)
32.3%1(sin.f64 im)
32.3%1(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes54.0ms (0.3%)

Memory
-13.1MiB live, 26.3MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re im) 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)) (fma.f64 re im im)))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (+.f64 (*.f64 re im) im)))
Outputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im)))
Calls

5 calls:

3.0ms
(sin.f64 im)
2.0ms
im
2.0ms
re
2.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
2.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
32.3%1re
32.3%1(exp.f64 re)
32.3%1im
32.3%1(*.f64 (exp.f64 re) (sin.f64 im))
32.3%1(sin.f64 im)
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes8.0ms (0%)

Memory
19.9MiB live, 19.9MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re im) 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))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re im) im) (*.f64 im re))))
Calls

5 calls:

2.0ms
(sin.f64 im)
2.0ms
re
2.0ms
im
1.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
1.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
32.3%2re
32.3%2(exp.f64 re)
32.4%2im
32.4%2(*.f64 (exp.f64 re) (sin.f64 im))
32.0%2(sin.f64 im)
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes52.0ms (0.3%)

Memory
-21.4MiB live, 17.8MiB 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 (+ (* re im) im) (*.f64 im re))))
Outputs
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re im) im) (*.f64 im re))))
Calls

5 calls:

47.0ms
(exp.f64 re)
1.0ms
re
1.0ms
im
1.0ms
(sin.f64 im)
1.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
8.0%1(sin.f64 im)
8.0%1re
8.0%1(exp.f64 re)
8.0%1(*.f64 (exp.f64 re) (sin.f64 im))
8.0%1im
Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch76.0ms (0.5%)

Memory
25.9MiB live, 65.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
1.3604895423610353e+99
4.168067096461845e+106
53.0ms
1.350713148796045e-9
0.000705625655648504
6.0ms
-0.9112968883672384
-0.48724858760915085
Samples
60.0ms352×0valid
Compiler

Compiled 686 to 434 computations (36.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-exp: 43.0ms (81.7% of total)
ival-sin: 7.0ms (13.3% of total)
ival-mult: 2.0ms (3.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9998872885839478
+inf
0.0ms
2.102196421461398e-21
2.1247219639722804e-21
0.0ms
-0.011542640273678207
0.0
0.0ms
-inf
-0.9957412932572537
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9998872885839478
+inf
0.0ms
2.102196421461398e-21
2.1247219639722804e-21
0.0ms
-0.011542640273678207
0.0
0.0ms
-inf
-0.9957412932572537
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9998872885839478
+inf
0.0ms
2.102196421461398e-21
2.1247219639722804e-21
0.0ms
-0.011542640273678207
0.0
0.0ms
-inf
-0.9957412932572537
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9998872885839478
+inf
0.0ms
2.102196421461398e-21
2.1247219639722804e-21
0.0ms
-0.011542640273678207
0.0
0.0ms
-inf
-0.9957412932572537
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9998872885839478
+inf
0.0ms
0.0
5.280694367040104e-306
0.0ms
-0.011542640273678207
0.0
0.0ms
-inf
-0.9957412932572537
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
5.280694367040104e-306
0.0ms
-inf
-0.9957412932572537
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
5.280694367040104e-306
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
5.280694367040104e-306
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
5.280694367040104e-306
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
5.280694367040104e-306
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
5.280694367040104e-306
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9560520235217548
0.9734824498854253
0.0ms
0.0
5.280694367040104e-306
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9560520235217548
0.9734824498854253
0.0ms
0.0
5.280694367040104e-306
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9993961303135445
0.9998872885839478
0.0ms
0.0
5.280694367040104e-306
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch36.0ms (0.2%)

Memory
-59.8MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
5.280694367040104e-306
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9560520235217548
0.9734824498854253
0.0ms
0.0
5.280694367040104e-306
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9734824498854253
0.9767913457612308
0.0ms
0.0
5.280694367040104e-306
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
5.280694367040104e-306
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch9.0ms (0.1%)

Memory
10.8MiB live, 10.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
9.0ms
4014106019962255400.0
15728590872425552000.0
Samples
6.0ms80×0valid
Compiler

Compiled 95 to 55 computations (42.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-sin: 3.0ms (75.3% of total)
ival-exp: 1.0ms (25.1% of total)
ival-mult: 1.0ms (25.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify17.0ms (0.1%)

Memory
23.7MiB live, 23.7MiB allocated
Algorithm
egg-herbie
Rules
56×*-commutative_binary64
+-commutative_binary64
1-exp_binary64
1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01901721
12211721
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (exp.f64 re) (sin.f64 im))
(if (<=.f64 re #s(literal -1/2 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (if (<=.f64 re #s(literal 6456360425798343/9223372036854775808 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) (if (<=.f64 re #s(literal 10500000000000000815831766655872649178879125871197860277834278179049830808884244966648174743689294249984 binary64)) (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (*.f64 (exp.f64 re) #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 -5764607523034235/576460752303423488 binary64)) (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 5635926702128043/2658455991569831745807614120560689152 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (exp re) #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 (*.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))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/576460752303423488 binary64)) (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 5635926702128043/2658455991569831745807614120560689152 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (exp re) #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 (*.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))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/576460752303423488 binary64)) (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 5635926702128043/2658455991569831745807614120560689152 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (exp re) #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 (*.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))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/576460752303423488 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 5635926702128043/2658455991569831745807614120560689152 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 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (sin im) (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))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/576460752303423488 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (*.f64 re re)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (+.f64 re #s(literal 1 binary64))))))))))
(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 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (sin im) (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))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (*.f64 re re)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (+.f64 re #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) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (*.f64 re re)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (+.f64 re #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) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #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) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 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) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 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) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re im) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) im))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1080863910568919/1125899906842624 binary64)) #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) #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 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1080863910568919/1125899906842624 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) im))) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (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 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 4501347827556811/4503599627370496 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) im))) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.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) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) im))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) (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) (+.f64 re #s(literal 1 binary64))))) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) im) (*.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 8782019273372467/9007199254740992 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) im) (*.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 im re))))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 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)) (*.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 im re im)))
(if (<=.f64 im #s(literal 7000000000000000000 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 (+ (* re im) im) (*.f64 im re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re im) im) (*.f64 im re))))
Outputs
(*.f64 (exp.f64 re) (sin.f64 im))
(if (<=.f64 re #s(literal -1/2 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (if (<=.f64 re #s(literal 6456360425798343/9223372036854775808 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) (if (<=.f64 re #s(literal 10500000000000000815831766655872649178879125871197860277834278179049830808884244966648174743689294249984 binary64)) (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)))))
(if (<=.f64 re #s(literal -1/2 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (if (<=.f64 re #s(literal 6456360425798343/9223372036854775808 binary64)) (*.f64 (sin.f64 im) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (if (<=.f64 re #s(literal 10500000000000000815831766655872649178879125871197860277834278179049830808884244966648174743689294249984 binary64)) (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (*.f64 (sin.f64 im) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (*.f64 (exp.f64 re) #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 -5764607523034235/576460752303423488 binary64)) (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 5635926702128043/2658455991569831745807614120560689152 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/576460752303423488 binary64)) (*.f64 (sin.f64 im) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 5635926702128043/2658455991569831745807614120560689152 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (*.f64 (sin.f64 im) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (exp re) #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 (*.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))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/576460752303423488 binary64)) (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 5635926702128043/2658455991569831745807614120560689152 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (exp re) #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 (*.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))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/576460752303423488 binary64)) (*.f64 (sin.f64 im) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 5635926702128043/2658455991569831745807614120560689152 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (*.f64 (sin.f64 im) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (exp re) #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 (*.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))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/576460752303423488 binary64)) (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 5635926702128043/2658455991569831745807614120560689152 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (exp re) #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 (*.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))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/576460752303423488 binary64)) (*.f64 (sin.f64 im) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 5635926702128043/2658455991569831745807614120560689152 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (*.f64 (sin.f64 im) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))))))
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(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) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 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) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 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) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re im) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) im))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1080863910568919/1125899906842624 binary64)) #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) #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)))))))
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(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1080863910568919/1125899906842624 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) im))) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (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 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 4501347827556811/4503599627370496 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) im))) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.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) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) im))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) (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) (+.f64 re #s(literal 1 binary64))))) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) im) (*.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))))))
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#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 im re im)))
(if (<=.f64 im #s(literal 7000000000000000000 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 (+ (* re im) im) (*.f64 im re)))))
(if (<=.f64 im #s(literal 7000000000000000000 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 (+ (* re im) im) (*.f64 re im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re im) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re im) im) (*.f64 re im))))

soundness9.8s (58.7%)

Memory
5.5MiB live, 1 639.0MiB allocated
Rules
19 824×lower-fma.f64
19 824×lower-fma.f32
18 716×lower-fma.f64
18 716×lower-fma.f32
15 566×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071297
1221286
2586274
31574268
42436268
53110268
63581268
73732268
84021268
95977268
08264246
033218
057220
1194211
21388211
08214207
01962863
16242746
217522707
344982690
081292427
01312073
14201986
211891936
342281906
478821906
080471723
01251727
14061664
211181618
339361588
472751588
080411437
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 1 829 to 658 computations (64% saved)

preprocess159.0ms (0.9%)

Memory
-7.2MiB live, 314.7MiB allocated
Remove

(negabs im)

Compiler

Compiled 2 214 to 294 computations (86.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...