math.exp on complex, imaginary part

Time bar (total: 11.4s)

start0.0ms (0%)

Memory
0.0MiB 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)

sample1.1s (9.2%)

Memory
22.5MiB live, 1 405.0MiB allocated
Samples
839.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 578.0ms
ival-sin: 355.0ms (61.5% of total)
ival-mult: 146.0ms (25.3% of total)
ival-exp: 68.0ms (11.8% of total)
ival-true: 6.0ms (1% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

explain87.0ms (0.8%)

Memory
-18.8MiB live, 143.4MiB 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
59.0ms512×0valid
Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-sin: 33.0ms (71.2% of total)
ival-exp: 9.0ms (19.4% of total)
ival-mult: 3.0ms (6.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess22.0ms (0.2%)

Memory
30.1MiB live, 30.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01531
13829
27727
314827
429527
544027
646127
747527
848227
948227
055
085
195
095
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(*.f64 (exp.f64 re) (sin.f64 im))
Outputs
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
Symmetry

(negabs im)

Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune25.0ms (0.2%)

Memory
-35.5MiB live, 0.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 5 to 5 computations (0% saved)

simplify4.0ms (0%)

Memory
4.6MiB live, 4.6MiB 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))
Iterations

Useful iterations: 0 (0.0ms)

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

localize20.0ms (0.2%)

Memory
32.7MiB live, 32.7MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(sin.f64 im)
accuracy0.0
(exp.f64 re)
accuracy0.015625
(*.f64 (exp.f64 re) (sin.f64 im))
Samples
15.0ms256×0valid
Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-sin: 5.0ms (55.7% of total)
ival-exp: 2.0ms (22.3% of total)
ival-mult: 1.0ms (11.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series22.0ms (0.2%)

Memory
-36.0MiB live, 7.8MiB allocated
Counts
3 → 18
Calls
Call 1
Inputs
(*.f64 (exp.f64 re) (sin.f64 im))
(exp.f64 re)
(sin.f64 im)
Outputs
(sin im)
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(* (exp re) (sin im))
(exp re)
(* 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))))))))
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))))
Calls

6 calls:

TimeVariablePointExpression
19.0ms
re
@inf
((* (exp re) (sin im)) (exp re) (sin im))
1.0ms
im
@0
((* (exp re) (sin im)) (exp re) (sin im))
1.0ms
re
@-inf
((* (exp re) (sin im)) (exp re) (sin im))
0.0ms
re
@0
((* (exp re) (sin im)) (exp re) (sin im))
0.0ms
im
@-inf
((* (exp re) (sin im)) (exp re) (sin im))

simplify198.0ms (1.7%)

Memory
29.6MiB live, 187.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071192
1221181
2584169
31576163
42434163
53117163
63586163
73734163
84023163
95924163
08211141
Stop Event
iter limit
node limit
Counts
18 → 17
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)))))))
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(* (exp re) (sin im))
(exp re)
(* 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))))))))
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))))
Outputs
(sin im)
(sin.f64 im)
(+ (sin im) (* re (sin im)))
(fma.f64 (sin.f64 im) re (sin.f64 im))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) (sin.f64 im))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) (sin.f64 im))
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 #s(literal 1 binary64) re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(exp re)
(exp.f64 re)
(* im (exp re))
(*.f64 (exp.f64 re) im)
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) (exp.f64 re))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) im) (exp.f64 re))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) im)
im
(* im (+ 1 (* -1/6 (pow im 2))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #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 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im)

rewrite36.0ms (0.3%)

Memory
-18.9MiB live, 20.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

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

eval2.0ms (0%)

Memory
4.9MiB live, 4.9MiB allocated
Compiler

Compiled 262 to 64 computations (75.6% saved)

prune5.0ms (0%)

Memory
10.8MiB live, 10.8MiB allocated
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New14721
Fresh000
Picked011
Done000
Total14822
Accuracy
100.0%
Counts
22 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (exp.f64 re) (sin.f64 im))
70.8%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
67.0%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
57.9%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
57.9%
#s(approx (* (exp re) (sin im)) (fma.f64 (sin.f64 im) re (sin.f64 im)))
59.9%
#s(approx (* (exp re) (sin im)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) im))
68.4%
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
57.3%
#s(approx (* (exp re) (sin im)) (sin.f64 im))
Compiler

Compiled 195 to 145 computations (25.6% saved)

simplify14.0ms (0.1%)

Memory
-17.4MiB live, 19.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
cost-diff0
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
cost-diff0
(sin.f64 im)
cost-diff0
(+.f64 #s(literal 1 binary64) re)
cost-diff0
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
cost-diff0
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
cost-diff0
(exp.f64 re)
cost-diff0
(*.f64 (exp.f64 re) im)
cost-diff0
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
cost-diff0
(sin.f64 im)
cost-diff0
#s(approx (* (exp re) (sin im)) (sin.f64 im))
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
cost-diff0
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
cost-diff0
#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
Iterations

Useful iterations: 0 (0.0ms)

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

localize142.0ms (1.2%)

Memory
13.2MiB live, 134.6MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
accuracy0.0
(sin.f64 im)
accuracy0.015625
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
accuracy21.11836248185104
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
accuracy0.0
(+.f64 #s(literal 1 binary64) re)
accuracy0.0
(sin.f64 im)
accuracy0.015625
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
accuracy26.858984203019315
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
accuracy0.0
(exp.f64 re)
accuracy0.015625
(*.f64 (exp.f64 re) im)
accuracy20.1977828098842
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
accuracy0.0
(sin.f64 im)
accuracy27.331866118213846
#s(approx (* (exp re) (sin im)) (sin.f64 im))
accuracy0.03125
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
accuracy0.046875
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
accuracy0.12109375
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
accuracy18.70054087643484
#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
Samples
127.0ms256×0valid
Compiler

Compiled 106 to 22 computations (79.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-mult: 32.0ms (58.2% of total)
ival-sin: 10.0ms (18.2% of total)
ival-add: 6.0ms (10.9% of total)
const: 3.0ms (5.5% of total)
ival-exp: 2.0ms (3.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
12.4MiB live, 12.4MiB allocated
Counts
17 → 43
Calls
Call 1
Inputs
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
(sin.f64 im)
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
(*.f64 (exp.f64 re) im)
(exp.f64 re)
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) re)
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
Outputs
(sin im)
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(+ 1 (* 1/2 re))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
im
(+ im (* im re))
(+ im (* re (+ im (* 1/2 (* im re)))))
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
1/2
(+ 1/2 (* 1/6 re))
(* (exp re) (sin im))
(exp 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 2))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* im (exp re))
re
(* re (+ 1 (/ 1 re)))
(* 1/2 (pow re 2))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(* 1/2 re)
(* re (+ 1/2 (/ 1 re)))
(* 1/6 re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))
(* im (+ (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))))))))
(* 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))))
Calls

6 calls:

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

simplify172.0ms (1.5%)

Memory
11.3MiB live, 239.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125381
1406366
21119344
33959338
47383338
08095287
Stop Event
iter limit
node limit
Counts
43 → 41
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)))))))
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(+ 1 (* 1/2 re))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
im
(+ im (* im re))
(+ im (* re (+ im (* 1/2 (* im re)))))
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
1/2
(+ 1/2 (* 1/6 re))
(* (exp re) (sin im))
(exp 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 2))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* im (exp re))
re
(* re (+ 1 (/ 1 re)))
(* 1/2 (pow re 2))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(* 1/2 re)
(* re (+ 1/2 (/ 1 re)))
(* 1/6 re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))
(* im (+ (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))))))))
(* 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))))
Outputs
(sin im)
(sin.f64 im)
(+ (sin im) (* re (sin im)))
(fma.f64 (sin.f64 im) re (sin.f64 im))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) (sin.f64 im))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(*.f64 (sin.f64 im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 #s(literal 1 binary64) re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(+ 1 (* 1/2 re))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
im
(+ im (* im re))
(fma.f64 im re im)
(+ im (* re (+ im (* 1/2 (* im re)))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re im)
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
(fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 re))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(exp re)
(exp.f64 re)
(* 1/6 (pow re 3))
(*.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re)
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re re)
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(* 1/6 (pow re 2))
(*.f64 (*.f64 re re) #s(literal 1/6 binary64))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re)
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
(* im (exp re))
(*.f64 im (exp.f64 re))
re
(* re (+ 1 (/ 1 re)))
(+.f64 #s(literal 1 binary64) re)
(* 1/2 (pow re 2))
(*.f64 (*.f64 re re) #s(literal 1/2 binary64))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(* 1/2 re)
(*.f64 #s(literal 1/2 binary64) re)
(* re (+ 1/2 (/ 1 re)))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
(* 1/6 re)
(*.f64 #s(literal 1/6 binary64) re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re re)
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) (exp.f64 re))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(*.f64 (exp.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #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 (*.f64 (exp.f64 re) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64))) im)
(* im (+ 1 (* -1/6 (pow im 2))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #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 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im)

rewrite219.0ms (1.9%)

Memory
-12.4MiB live, 295.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025128
043128
1128128
2826128
08360128
Stop Event
iter limit
node limit
iter limit
Counts
17 → 426
Calls
Call 1
Inputs
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
(sin.f64 im)
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
(*.f64 (exp.f64 re) im)
(exp.f64 re)
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) re)
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
Outputs
(*.f64 (sin.f64 im) #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal -1 binary64)))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re)))))
(*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal -1 binary64))))))
(*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) #s(literal 1 binary64))
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(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64))) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 re (-.f64 (*.f64 #s(literal 1/36 binary64) re) #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) re)))))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 re (-.f64 (*.f64 #s(literal 1/36 binary64) re) #s(literal 1/12 binary64)))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) re))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 re (-.f64 (*.f64 #s(literal 1/36 binary64) re) #s(literal 1/12 binary64)))) (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) re)))))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64))))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64)) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) re))))))
(fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))) (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))))
(-.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64))))
(+.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)))))
(+.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))

eval117.0ms (1%)

Memory
15.0MiB live, 187.3MiB allocated
Compiler

Compiled 13 128 to 2 188 computations (83.3% saved)

prune44.0ms (0.4%)

Memory
-4.4MiB live, 39.2MiB allocated
Pruning

14 alts after pruning (8 fresh and 6 done)

PrunedKeptTotal
New4638471
Fresh202
Picked055
Done011
Total46514479
Accuracy
100.0%
Counts
479 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (exp.f64 re) (sin.f64 im))
70.8%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
67.0%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
67.0%
(*.f64 #s(approx (exp re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) re))) (sin.f64 im))
69.8%
(*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) (sin.f64 im))
70.8%
(*.f64 #s(approx (exp re) (+.f64 re (fma.f64 (*.f64 re re) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sin.f64 im))
57.9%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
13.3%
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im))
68.4%
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
57.3%
#s(approx (* (exp re) (sin im)) (sin.f64 im))
41.0%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
37.8%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re im)))
33.9%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
36.5%
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
Compiler

Compiled 359 to 262 computations (27% saved)

simplify76.0ms (0.7%)

Memory
6.7MiB live, 75.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64)))
cost-diff0
(fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))
cost-diff0
#s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) (sin.f64 im))
cost-diff0
(*.f64 (*.f64 re re) #s(literal 1/2 binary64))
cost-diff0
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))
cost-diff0
#s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64))))
cost-diff0
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im))
cost-diff0
(fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im)
cost-diff0
(fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)
cost-diff0
#s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im))
cost-diff0
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
cost-diff0
(fma.f64 im re im)
cost-diff0
#s(approx (* (exp re) im) (fma.f64 im re im))
cost-diff0
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
cost-diff0
(fma.f64 (*.f64 re re) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64))
cost-diff0
#s(approx (exp re) (+.f64 re (fma.f64 (*.f64 re re) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64))))
cost-diff0
(*.f64 #s(approx (exp re) (+.f64 re (fma.f64 (*.f64 re re) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sin.f64 im))
cost-diff1
(+.f64 re (fma.f64 (*.f64 re re) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041325
061325
1110325
2184325
3309325
4532325
5689325
6729325
7729325
8735325
9735325
10753325
11753325
0753312
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 #s(approx (exp re) (+.f64 re (fma.f64 (*.f64 re re) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sin.f64 im))
#s(approx (exp re) (+.f64 re (fma.f64 (*.f64 re re) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(+.f64 re (fma.f64 (*.f64 re re) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64)))
re
(fma.f64 (*.f64 re re) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 re re)
(fma.f64 #s(literal 1/6 binary64) re #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)) #s(approx (* (exp re) im) (fma.f64 im re im)))
#s(approx (* (exp re) im) (fma.f64 im re im))
(fma.f64 im re im)
im
re
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im))
(fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)
(fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im)
(*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))
im
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
re
#s(literal 1/2 binary64)
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im))
#s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))
(*.f64 (*.f64 re re) #s(literal 1/2 binary64))
(*.f64 re re)
re
#s(literal 1/2 binary64)
(sin.f64 im)
im
(*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64)))
(*.f64 (*.f64 re re) #s(literal 1/6 binary64))
(*.f64 re re)
re
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(sin.f64 im)
im
Outputs
(*.f64 #s(approx (exp re) (+.f64 re (fma.f64 (*.f64 re re) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sin.f64 im))
(*.f64 (sin.f64 im) #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
#s(approx (exp re) (+.f64 re (fma.f64 (*.f64 re re) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(+.f64 re (fma.f64 (*.f64 re re) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
re
(fma.f64 (*.f64 re re) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))
(*.f64 re re)
(fma.f64 #s(literal 1/6 binary64) re #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)) #s(approx (* (exp re) im) (fma.f64 im re im)))
#s(approx (* (exp re) im) (fma.f64 im re im))
(fma.f64 im re im)
im
re
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im))
(fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)
(fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im)
(*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))
im
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
re
#s(literal 1/2 binary64)
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 #s(literal 1/2 binary64) re) re))) (sin.f64 im))
#s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64))))
#s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 #s(literal 1/2 binary64) re) re)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 #s(literal 1/2 binary64) re) re))
(*.f64 (*.f64 re re) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) re) re)
(*.f64 re re)
re
#s(literal 1/2 binary64)
(sin.f64 im)
im
(*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) (sin.f64 im))
(*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) re) re)) re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64)))
#s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) re) re)) re #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) re) re)) re #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) re) re))
(*.f64 (*.f64 re re) #s(literal 1/6 binary64))
(*.f64 (*.f64 #s(literal 1/6 binary64) re) re)
(*.f64 re re)
re
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(sin.f64 im)
im

localize194.0ms (1.7%)

Memory
-25.1MiB live, 221.4MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.03125
(fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))
accuracy0.4155139817998863
(*.f64 (*.f64 re re) #s(literal 1/6 binary64))
accuracy18.70054087643484
#s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64)))
accuracy35.29657372524279
#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64)))
accuracy0.015625
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im))
accuracy0.21059271027544016
(*.f64 (*.f64 re re) #s(literal 1/2 binary64))
accuracy21.11836248185104
#s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64))))
accuracy35.292474040511465
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))
accuracy0.0703125
(*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))
accuracy0.12109375
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
accuracy17.7516787127635
#s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im))
accuracy20.1977828098842
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
accuracy0.0
(fma.f64 im re im)
accuracy20.1977828098842
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
accuracy23.097744999632543
#s(approx (* (exp re) im) (fma.f64 im re im))
accuracy0.015625
(*.f64 #s(approx (exp re) (+.f64 re (fma.f64 (*.f64 re re) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sin.f64 im))
accuracy0.0390625
(fma.f64 (*.f64 re re) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64))
accuracy0.12109375
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
accuracy18.70054087643484
#s(approx (exp re) (+.f64 re (fma.f64 (*.f64 re re) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64))))
Samples
167.0ms256×0valid
Compiler

Compiled 187 to 34 computations (81.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 92.0ms
ival-mult: 70.0ms (76% of total)
ival-add: 10.0ms (10.9% of total)
ival-sin: 6.0ms (6.5% of total)
const: 3.0ms (3.3% of total)
ival-exp: 2.0ms (2.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series18.0ms (0.2%)

Memory
4.0MiB live, 41.4MiB allocated
Counts
22 → 68
Calls
Call 1
Inputs
(+.f64 re (fma.f64 (*.f64 re re) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 #s(approx (exp re) (+.f64 re (fma.f64 (*.f64 re re) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sin.f64 im))
#s(approx (exp re) (+.f64 re (fma.f64 (*.f64 re re) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(fma.f64 (*.f64 re re) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
#s(approx (* (exp re) im) (fma.f64 im re im))
(fma.f64 im re im)
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im))
(fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)
(fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im)
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im))
#s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))
(*.f64 (*.f64 re re) #s(literal 1/2 binary64))
(*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))
(*.f64 (*.f64 re re) #s(literal 1/6 binary64))
Outputs
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(sin im)
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(+ 1 (* 1/2 (pow re 2)))
(+ 1 (* (pow re 2) (+ 1/2 (* 1/6 re))))
im
(+ im (* im re))
(+ im (* re (+ im (* 1/2 (* im re)))))
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
(+ im (* 1/2 (* im re)))
(+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))
(* 1/2 (pow re 2))
(+ 1 (* 1/2 re))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
1/2
(+ 1/2 (* 1/6 re))
(* 1/2 im)
(+ (* 1/6 (* im re)) (* 1/2 im))
(* 1/6 (pow re 2))
(* 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))))))
(* (exp re) (sin im))
(exp re)
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 3)))))
(* im (exp re))
(* im re)
(* re (+ im (/ im re)))
(* 1/6 (* im (pow re 3)))
(* (pow re 3) (+ (* 1/6 im) (* 1/2 (/ im re))))
(* (pow re 3) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (/ im (pow re 2)))))
(* (pow re 3) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (+ (/ im (pow re 2)) (/ im (pow re 3))))))
(* 1/6 (* im (pow re 2)))
(* (pow re 2) (+ (* 1/6 im) (* 1/2 (/ im re))))
(* (pow re 2) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (/ im (pow re 2)))))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (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)))))
(* 1/6 re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* 1/6 (* im re))
(* re (+ (* 1/6 im) (* 1/2 (/ im 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 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 (pow re 2))) re)) 1/6)))
(* -1 (* re (+ (* -1 im) (* -1 (/ im re)))))
(* -1 (* (pow re 3) (+ (* -1/2 (/ im re)) (* -1/6 im))))
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* 1/2 im) (/ im re)) re)) (* -1/6 im))))
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 im) (* -1 (/ im re))) re)) (* 1/2 im)) re)) (* -1/6 im))))
(* (pow re 2) (+ (* -1 (/ (+ (* -1 (/ im re)) (* -1/2 im)) re)) (* 1/6 im)))
(* -1 (* re (+ (* -1/2 (/ im re)) (* -1/6 im))))
(* 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))))))))
(* im (+ 1 re))
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(* im (+ 1 (* re (+ 1/2 (* 1/6 re)))))
(* im (+ 1/2 (* 1/6 re)))
(* -1 (* im (- (* -1 re) 1)))
(* -1 (* im (- (* re (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)) 1)))
(* -1 (* im (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)))
Calls

6 calls:

TimeVariablePointExpression
4.0ms
im
@inf
((+ re (+ (* (* re re) (+ (* 1/6 re) 1/2)) 1)) (* (exp re) (sin im)) (exp re) (+ (* (* re re) (+ (* 1/6 re) 1/2)) 1) (* (exp re) (sin im)) (* (exp re) im) (+ (* im re) im) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (* re re) 1/2) (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (+ (* 1/6 re) 1/2) (* im (+ (* 1/6 re) 1/2)) (* (* re re) 1/6))
3.0ms
re
@-inf
((+ re (+ (* (* re re) (+ (* 1/6 re) 1/2)) 1)) (* (exp re) (sin im)) (exp re) (+ (* (* re re) (+ (* 1/6 re) 1/2)) 1) (* (exp re) (sin im)) (* (exp re) im) (+ (* im re) im) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (* re re) 1/2) (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (+ (* 1/6 re) 1/2) (* im (+ (* 1/6 re) 1/2)) (* (* re re) 1/6))
3.0ms
re
@inf
((+ re (+ (* (* re re) (+ (* 1/6 re) 1/2)) 1)) (* (exp re) (sin im)) (exp re) (+ (* (* re re) (+ (* 1/6 re) 1/2)) 1) (* (exp re) (sin im)) (* (exp re) im) (+ (* im re) im) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (* re re) 1/2) (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (+ (* 1/6 re) 1/2) (* im (+ (* 1/6 re) 1/2)) (* (* re re) 1/6))
2.0ms
re
@0
((+ re (+ (* (* re re) (+ (* 1/6 re) 1/2)) 1)) (* (exp re) (sin im)) (exp re) (+ (* (* re re) (+ (* 1/6 re) 1/2)) 1) (* (exp re) (sin im)) (* (exp re) im) (+ (* im re) im) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (* re re) 1/2) (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (+ (* 1/6 re) 1/2) (* im (+ (* 1/6 re) 1/2)) (* (* re re) 1/6))
2.0ms
im
@-inf
((+ re (+ (* (* re re) (+ (* 1/6 re) 1/2)) 1)) (* (exp re) (sin im)) (exp re) (+ (* (* re re) (+ (* 1/6 re) 1/2)) 1) (* (exp re) (sin im)) (* (exp re) im) (+ (* im re) im) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (* re re) 1/2) (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (+ (* 1/6 re) 1/2) (* im (+ (* 1/6 re) 1/2)) (* (* re re) 1/6))

simplify198.0ms (1.7%)

Memory
-13.9MiB live, 174.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0191693
1646655
22084626
34945612
08649531
Stop Event
iter limit
node limit
Counts
68 → 67
Calls
Call 1
Inputs
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(sin im)
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(+ 1 (* 1/2 (pow re 2)))
(+ 1 (* (pow re 2) (+ 1/2 (* 1/6 re))))
im
(+ im (* im re))
(+ im (* re (+ im (* 1/2 (* im re)))))
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
(+ im (* 1/2 (* im re)))
(+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))
(* 1/2 (pow re 2))
(+ 1 (* 1/2 re))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
1/2
(+ 1/2 (* 1/6 re))
(* 1/2 im)
(+ (* 1/6 (* im re)) (* 1/2 im))
(* 1/6 (pow re 2))
(* 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))))))
(* (exp re) (sin im))
(exp re)
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 3)))))
(* im (exp re))
(* im re)
(* re (+ im (/ im re)))
(* 1/6 (* im (pow re 3)))
(* (pow re 3) (+ (* 1/6 im) (* 1/2 (/ im re))))
(* (pow re 3) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (/ im (pow re 2)))))
(* (pow re 3) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (+ (/ im (pow re 2)) (/ im (pow re 3))))))
(* 1/6 (* im (pow re 2)))
(* (pow re 2) (+ (* 1/6 im) (* 1/2 (/ im re))))
(* (pow re 2) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (/ im (pow re 2)))))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (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)))))
(* 1/6 re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* 1/6 (* im re))
(* re (+ (* 1/6 im) (* 1/2 (/ im 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 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 (pow re 2))) re)) 1/6)))
(* -1 (* re (+ (* -1 im) (* -1 (/ im re)))))
(* -1 (* (pow re 3) (+ (* -1/2 (/ im re)) (* -1/6 im))))
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* 1/2 im) (/ im re)) re)) (* -1/6 im))))
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 im) (* -1 (/ im re))) re)) (* 1/2 im)) re)) (* -1/6 im))))
(* (pow re 2) (+ (* -1 (/ (+ (* -1 (/ im re)) (* -1/2 im)) re)) (* 1/6 im)))
(* -1 (* re (+ (* -1/2 (/ im re)) (* -1/6 im))))
(* 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))))))))
(* im (+ 1 re))
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(* im (+ 1 (* re (+ 1/2 (* 1/6 re)))))
(* im (+ 1/2 (* 1/6 re)))
(* -1 (* im (- (* -1 re) 1)))
(* -1 (* im (- (* re (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)) 1)))
(* -1 (* im (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)))
Outputs
1
#s(literal 1 binary64)
(+ 1 re)
(-.f64 re #s(literal -1 binary64))
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(sin im)
(sin.f64 im)
(+ (sin im) (* re (sin im)))
(fma.f64 (sin.f64 im) re (sin.f64 im))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im))
(+ 1 (* 1/2 (pow re 2)))
(fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow re 2) (+ 1/2 (* 1/6 re))))
(fma.f64 (*.f64 re re) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64))
im
(+ im (* im re))
(fma.f64 im re im)
(+ im (* re (+ im (* 1/2 (* im re)))))
(fma.f64 (*.f64 im re) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im)
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re im)
(+ im (* 1/2 (* im re)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im)
(+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im)
(* 1/2 (pow re 2))
(*.f64 (*.f64 re re) #s(literal 1/2 binary64))
(+ 1 (* 1/2 re))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 re))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(* 1/2 im)
(*.f64 #s(literal 1/2 binary64) im)
(+ (* 1/6 (* im re)) (* 1/2 im))
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im)
(* 1/6 (pow re 2))
(*.f64 (*.f64 re re) #s(literal 1/6 binary64))
(* 1/6 (pow re 3))
(*.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re)
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re)
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(exp re)
(exp.f64 re)
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 3)))))
(fma.f64 (*.f64 re re) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im re)
(*.f64 im re)
(* re (+ im (/ im re)))
(fma.f64 im re im)
(* 1/6 (* im (pow re 3)))
(*.f64 (*.f64 (pow.f64 re #s(literal 3 binary64)) im) #s(literal 1/6 binary64))
(* (pow re 3) (+ (* 1/6 im) (* 1/2 (/ im re))))
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re)
(* (pow re 3) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (/ im (pow re 2)))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re)
(* (pow re 3) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (+ (/ im (pow re 2)) (/ im (pow re 3))))))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re (*.f64 (/.f64 im (pow.f64 re #s(literal 3 binary64))) (pow.f64 re #s(literal 3 binary64))))
(* 1/6 (* im (pow re 2)))
(*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/6 binary64))
(* (pow re 2) (+ (* 1/6 im) (* 1/2 (/ im re))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re)
(* (pow re 2) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (/ im (pow re 2)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im)
(* (pow re 2) (+ 1/2 (/ 1 re)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re)
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
(* 1/6 re)
(*.f64 #s(literal 1/6 binary64) re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(* 1/6 (* im re))
(*.f64 (*.f64 im re) #s(literal 1/6 binary64))
(* re (+ (* 1/6 im) (* 1/2 (/ im re))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im)
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1/2 binary64)) re) #s(literal -1/6 binary64)) (pow.f64 re #s(literal 3 binary64)))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))
(*.f64 (-.f64 (/.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) re) re) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) re)) re) #s(literal -1/6 binary64)) (pow.f64 re #s(literal 3 binary64)))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 (pow re 2))) re)) 1/6)))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) re) re) #s(literal 1/2 binary64)) re) #s(literal -1/6 binary64)) (pow.f64 re #s(literal 3 binary64)))
(* -1 (* re (+ (* -1 im) (* -1 (/ im re)))))
(fma.f64 im re im)
(* -1 (* (pow re 3) (+ (* -1/2 (/ im re)) (* -1/6 im))))
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re)
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* 1/2 im) (/ im re)) re)) (* -1/6 im))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re)
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 im) (* -1 (/ im re))) re)) (* 1/2 im)) re)) (* -1/6 im))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) im (/.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 (+.f64 (/.f64 im re) im) re)) re)) (pow.f64 re #s(literal 3 binary64)))
(* (pow re 2) (+ (* -1 (/ (+ (* -1 (/ im re)) (* -1/2 im)) re)) (* 1/6 im)))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im)
(* -1 (* re (+ (* -1/2 (/ im re)) (* -1/6 im))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im)
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (*.f64 im (exp.f64 re)))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (exp.f64 re) (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64))) (*.f64 im (exp.f64 re)))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (exp.f64 re) (fma.f64 (*.f64 im im) (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (*.f64 im (exp.f64 re)))
(* im (+ 1 re))
(fma.f64 im re im)
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re im)
(* im (+ 1 (* re (+ 1/2 (* 1/6 re)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im)
(* im (+ 1/2 (* 1/6 re)))
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im)
(* -1 (* im (- (* -1 re) 1)))
(fma.f64 im re im)
(* -1 (* im (- (* re (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)) 1)))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re im)
(* -1 (* im (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im)

rewrite172.0ms (1.5%)

Memory
10.0MiB live, 234.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041288
061288
1222288
21578288
08351278
Stop Event
iter limit
node limit
iter limit
Counts
22 → 379
Calls
Call 1
Inputs
(+.f64 re (fma.f64 (*.f64 re re) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 #s(approx (exp re) (+.f64 re (fma.f64 (*.f64 re re) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sin.f64 im))
#s(approx (exp re) (+.f64 re (fma.f64 (*.f64 re re) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(fma.f64 (*.f64 re re) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
#s(approx (* (exp re) im) (fma.f64 im re im))
(fma.f64 im re im)
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im))
(fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)
(fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im)
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im))
#s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))
(*.f64 (*.f64 re re) #s(literal 1/2 binary64))
(*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))
(*.f64 (*.f64 re re) #s(literal 1/6 binary64))
Outputs
(*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re re) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re re) #s(literal 1 binary64))))
(*.f64 (-.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 re re)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) re)))
(*.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re re) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re re) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re re)))))
(*.f64 (neg.f64 (-.f64 (*.f64 re re) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 re (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) re) (*.f64 re re)))))
(*.f64 (-.f64 (*.f64 re re) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 re (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 re re) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) re)))))
(*.f64 (+.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) re) (*.f64 re re)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) re))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) re)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 re re) (-.f64 re (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) (/.f64 (*.f64 re re) (-.f64 re (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))) (*.f64 (/.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 re (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) (/.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 re (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))))) (+.f64 (/.f64 (*.f64 re re) (-.f64 re (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) (/.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 re (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re) #s(literal 2 binary64))) (-.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re))) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re) (+.f64 #s(literal 1 binary64) re)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re re) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re re)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 re re) (-.f64 re (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 re (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 re re) (-.f64 re (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) (/.f64 (*.f64 re re) (-.f64 re (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) (fma.f64 (/.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 re (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) (/.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 re (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) (*.f64 (/.f64 (*.f64 re re) (-.f64 re (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) (/.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 re (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))))))
(/.f64 (+.f64 (pow.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re) #s(literal 3 binary64))) (fma.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re) #s(literal 2 binary64)) (*.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re)))))
(/.f64 (fma.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64)) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re) (+.f64 #s(literal 1 binary64) re)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re re) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re re) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re re)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re re) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re re) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 re re))) (neg.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) re)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re re) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re re) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re re)))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (*.f64 re #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (*.f64 re #s(literal 1/12 binary64)))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (*.f64 re #s(literal 1/12 binary64)))) (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))))
(fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))) (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))))
(-.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))))
(+.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))))
(+.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))
(*.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) im) (pow.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64)) im) (pow.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64)))) #s(literal -1 binary64)))
(*.f64 (*.f64 im (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64))) (pow.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 im (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64))) (pow.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64)))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 im re) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 im re) #s(literal 1/6 binary64)) (*.f64 im #s(literal 1/2 binary64)))))
(*.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 im re) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 im re) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 im re) #s(literal 1/6 binary64)) (*.f64 im #s(literal 1/2 binary64)))))))
(*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im)
(/.f64 (-.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 im re) #s(literal 1/6 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 im #s(literal 1/2 binary64)) (*.f64 (*.f64 im re) #s(literal 1/6 binary64))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 im #s(literal 3 binary64)) (*.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 im re) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 im re) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 im #s(literal 1/2 binary64)) (*.f64 (*.f64 im re) #s(literal 1/6 binary64))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) im)) (neg.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64)) im)) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (*.f64 im (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)))) (neg.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (*.f64 im (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 im re) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 im re) #s(literal 1/6 binary64)) (*.f64 im #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 im re) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 im #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 im re) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 im re) #s(literal 1/6 binary64)) (*.f64 im #s(literal 1/2 binary64)))))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) im) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64)) im) (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64)))))
(/.f64 (*.f64 im (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))
(/.f64 (*.f64 im (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 im re) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 im re) #s(literal 1/6 binary64)) (*.f64 im #s(literal 1/2 binary64))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 im re) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 im #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (*.f64 im re) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 im re) #s(literal 1/6 binary64)) (*.f64 im #s(literal 1/2 binary64))))))
(/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) im)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64)))) (*.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64)) im)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (*.f64 im (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64)))) (*.f64 im (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 im re) #s(literal 1/6 binary64)) (*.f64 im #s(literal 1/2 binary64))) (-.f64 (pow.f64 (*.f64 (*.f64 im re) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 im re) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 im re) #s(literal 1/6 binary64)) (*.f64 im #s(literal 1/2 binary64))))) (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 im re) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 im #s(literal 3 binary64))))))
(fma.f64 (*.f64 im #s(literal 1/6 binary64)) re (*.f64 im #s(literal 1/2 binary64)))
(fma.f64 (*.f64 im re) #s(literal 1/6 binary64) (*.f64 im #s(literal 1/2 binary64)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) re) im (*.f64 im #s(literal 1/2 binary64)))
(fma.f64 im (*.f64 #s(literal 1/6 binary64) re) (*.f64 im #s(literal 1/2 binary64)))
(fma.f64 im #s(literal 1/2 binary64) (*.f64 (*.f64 im re) #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/2 binary64) im (*.f64 (*.f64 im re) #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 im re) (*.f64 im #s(literal 1/2 binary64)))
(fma.f64 re (*.f64 #s(literal 1/6 binary64) im) (*.f64 im #s(literal 1/2 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 im re) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 im re) #s(literal 1/6 binary64)) (*.f64 im #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 im re) #s(literal 1/6 binary64)) (*.f64 im #s(literal 1/2 binary64)))))
(+.f64 (*.f64 im #s(literal 1/2 binary64)) (*.f64 (*.f64 im re) #s(literal 1/6 binary64)))
(+.f64 (*.f64 (*.f64 im re) #s(literal 1/6 binary64)) (*.f64 im #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/6 binary64) re) re)
(*.f64 #s(literal 1/6 binary64) (*.f64 re re))
(*.f64 (*.f64 re re) #s(literal 1/6 binary64))
(*.f64 re (*.f64 #s(literal 1/6 binary64) re))

eval67.0ms (0.6%)

Memory
-8.9MiB live, 115.2MiB allocated
Compiler

Compiled 17 375 to 2 286 computations (86.8% saved)

prune49.0ms (0.4%)

Memory
-1.4MiB live, 37.3MiB allocated
Pruning

23 alts after pruning (13 fresh and 10 done)

PrunedKeptTotal
New45511466
Fresh123
Picked145
Done066
Total45723480
Accuracy
100.0%
Counts
480 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (exp.f64 re) (sin.f64 im))
70.8%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
67.0%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
67.0%
(*.f64 #s(approx (exp re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) re))) (sin.f64 im))
69.8%
(*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) (sin.f64 im))
70.8%
(*.f64 #s(approx (exp re) (+.f64 re (fma.f64 (*.f64 re re) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sin.f64 im))
57.9%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
13.3%
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im))
68.4%
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
57.3%
#s(approx (* (exp re) (sin im)) (sin.f64 im))
41.0%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 (*.f64 im #s(literal 1/6 binary64)) re (*.f64 im #s(literal 1/2 binary64))) re im) re im)))
41.0%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) im) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re im) re im)))
41.0%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) im))) re im) re im)))
34.5%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))))) re im) re im)))
37.8%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64))) re im) re im)))
40.9%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 #s(approx (* im (+ (* 1/6 re) 1/2)) (*.f64 (*.f64 im re) #s(literal 1/6 binary64))) re im) re im)))
40.4%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/6 binary64))) re im)))
33.9%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
33.9%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im re im)))))
12.8%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re))))
12.8%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re))))
5.8%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))
36.5%
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
Compiler

Compiled 868 to 567 computations (34.7% saved)

simplify128.0ms (1.1%)

Memory
22.0MiB live, 138.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) im))) re im) re im)
cost-diff0
#s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) im))) re im) re im))
cost-diff0
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) im))) re im) re im)))
cost-diff2
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) im)))
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 im re im))
cost-diff0
#s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im re im))))
cost-diff0
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im re im)))))
cost-diff4
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im re im)))
cost-diff0
#s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/6 binary64)))
cost-diff0
(fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/6 binary64))) re im)
cost-diff0
#s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/6 binary64))) re im))
cost-diff0
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/6 binary64))) re im)))
cost-diff0
(*.f64 im re)
cost-diff0
#s(approx (+ (* im re) im) (*.f64 im re))
cost-diff0
#s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re)))
cost-diff0
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))
cost-diff0
(*.f64 re re)
cost-diff0
#s(approx (exp re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) re)))
cost-diff0
(*.f64 #s(approx (exp re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) re))) (sin.f64 im))
cost-diff1
(fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) re))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049415
073403
1126399
2223393
3549393
41230393
52104393
63612393
75479393
87012393
97221393
107797393
08057382
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 #s(approx (exp re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) re))) (sin.f64 im))
#s(approx (exp re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) re)))
(fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) re))
(*.f64 re re)
re
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) re)
#s(literal 1 binary64)
(sin.f64 im)
im
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re)))
#s(approx (+ (* im re) im) (*.f64 im re))
(*.f64 im re)
im
re
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/6 binary64))) re im)))
#s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/6 binary64))) re im))
(fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/6 binary64))) re im)
#s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/6 binary64))
(*.f64 (*.f64 im re) re)
(*.f64 im re)
im
re
#s(literal 1/6 binary64)
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im re im)))))
#s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im re im))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im re im)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 im re im))
(fma.f64 im re im)
im
re
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) im))) re im) re im)))
#s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) im))) re im) re im))
(fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) im))) re im) re im)
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) im))) re im)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) im)))
#s(literal 1 binary64)
(/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) im))
(fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))
#s(literal 1/6 binary64)
re
#s(literal -1/2 binary64)
(*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) im)
(fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64))
#s(literal 1/36 binary64)
(*.f64 re re)
#s(literal -1/4 binary64)
im
Outputs
(*.f64 #s(approx (exp re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) re))) (sin.f64 im))
(*.f64 (sin.f64 im) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
#s(approx (exp re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) re)))
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) re))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(*.f64 re re)
re
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) re)
#s(literal 1 binary64)
(sin.f64 im)
im
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re)))
#s(approx (+ (* im re) im) (*.f64 im re))
(*.f64 im re)
im
re
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/6 binary64))) re im)))
#s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/6 binary64))) re im))
(fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/6 binary64))) re im)
#s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/6 binary64))
(*.f64 (*.f64 im re) re)
(*.f64 im re)
im
re
#s(literal 1/6 binary64)
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im re im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
#s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im re im))))
#s(approx (* (exp re) im) (fma.f64 im re im))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im re im)))
(fma.f64 im re im)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 im re im))
(fma.f64 im re im)
im
re
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) im))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (*.f64 (fma.f64 (fma.f64 (/.f64 re (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) #s(literal 1 binary64)) re #s(literal 1 binary64)) im)))
#s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) im))) re im) re im))
#s(approx (* (exp re) im) (*.f64 (fma.f64 (fma.f64 (/.f64 re (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) #s(literal 1 binary64)) re #s(literal 1 binary64)) im))
(fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) im))) re im) re im)
(*.f64 (fma.f64 (fma.f64 (/.f64 re (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) #s(literal 1 binary64)) re #s(literal 1 binary64)) im)
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) im))) re im)
(*.f64 (fma.f64 (/.f64 re (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) #s(literal 1 binary64)) im)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) im)))
(*.f64 (/.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)))
#s(literal 1 binary64)
(/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) im))
(/.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) im) (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)))
(fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))
#s(literal 1/6 binary64)
re
#s(literal -1/2 binary64)
(*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) im)
(fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64))
#s(literal 1/36 binary64)
(*.f64 re re)
#s(literal -1/4 binary64)
im

localize185.0ms (1.6%)

Memory
-20.3MiB live, 190.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy3.2284858974315482
(*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) im)
accuracy5.642655356701685
(/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) im))
accuracy17.605321048650246
#s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) im))) re im) re im))
accuracy19.959766378440683
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) im))) re im) re im)))
accuracy0.203125
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im re im)))
accuracy0.45195146721080737
(/.f64 #s(literal 1 binary64) (fma.f64 im re im))
accuracy19.959766378440683
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im re im)))))
accuracy22.916261824931997
#s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im re im))))
accuracy0.1875
(*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/6 binary64))
accuracy17.605321048650246
#s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/6 binary64))) re im))
accuracy19.959766378440683
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/6 binary64))) re im)))
accuracy34.829011370410484
#s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/6 binary64)))
accuracy0.0
(*.f64 im re)
accuracy19.959766378440683
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))
accuracy22.916261824931997
#s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re)))
accuracy34.994372874060055
#s(approx (+ (* im re) im) (*.f64 im re))
accuracy0.0
(sin.f64 im)
accuracy0.015625
(*.f64 #s(approx (exp re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) re))) (sin.f64 im))
accuracy0.21059271027544016
(fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) re))
accuracy20.95349158302574
#s(approx (exp re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) re)))
Samples
141.0ms255×0valid
1.0ms5exit
Compiler

Compiled 253 to 41 computations (83.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 103.0ms
ival-sin: 54.0ms (52.5% of total)
ival-mult: 23.0ms (22.3% of total)
ival-add: 10.0ms (9.7% of total)
const: 6.0ms (5.8% of total)
ival-div: 6.0ms (5.8% of total)
ival-exp: 2.0ms (1.9% 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)

series36.0ms (0.3%)

Memory
14.8MiB live, 56.0MiB allocated
Counts
24 → 87
Calls
Call 1
Inputs
(fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) re))
(*.f64 #s(approx (exp re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) re))) (sin.f64 im))
#s(approx (exp re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) re)))
(*.f64 re re)
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re)))
#s(approx (+ (* im re) im) (*.f64 im re))
(*.f64 im re)
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/6 binary64))) re im)))
#s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/6 binary64))) re im))
(fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/6 binary64))) re im)
#s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/6 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im re im)))))
#s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im re im))))
(/.f64 #s(literal 1 binary64) (fma.f64 im re im))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) im))) re im) re im)))
#s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) im))) re im) re im))
(fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) im))) re im) re im)
(sin.f64 im)
(*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/6 binary64))
(/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) im))
(*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) im)
Outputs
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(sin im)
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(pow re 2)
im
(+ im (* im re))
(+ im (* re (+ im (* 1/2 (* im re)))))
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
(* im re)
(+ im (* 1/2 (* im re)))
(+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))
(/ 1 im)
(+ (* -1 (/ re im)) (/ 1 im))
(+ (* re (- (/ re im) (/ 1 im))) (/ 1 im))
(+ (* re (- (* re (+ (* -1 (/ re im)) (/ 1 im))) (/ 1 im))) (/ 1 im))
(* 1/2 im)
(+ (* 1/6 (* im re)) (* 1/2 im))
(* 1/6 (* im (pow re 2)))
(/ 2 im)
(+ (* -2/3 (/ re im)) (* 2 (/ 1 im)))
(+ (* re (- (* 2/9 (/ re im)) (* 2/3 (/ 1 im)))) (* 2 (/ 1 im)))
(+ (* re (- (* re (+ (* -2/27 (/ re im)) (* 2/9 (/ 1 im)))) (* 2/3 (/ 1 im)))) (* 2 (/ 1 im)))
(* -1/4 im)
(+ (* -1/4 im) (* 1/36 (* im (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)))))
(* (exp re) (sin im))
(exp re)
(* im (exp re))
(* re (+ im (/ im re)))
(* 1/6 (* im (pow re 3)))
(* (pow re 3) (+ (* 1/6 im) (* 1/2 (/ im re))))
(* (pow re 3) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (/ im (pow re 2)))))
(* (pow re 3) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (+ (/ im (pow re 2)) (/ im (pow re 3))))))
(* (pow re 2) (+ (* 1/6 im) (* 1/2 (/ im re))))
(* (pow re 2) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (/ im (pow re 2)))))
(/ 1 (* im re))
(/ (- (/ 1 im) (/ 1 (* im re))) re)
(/ (- (+ (/ 1 im) (/ 1 (* im (pow re 2)))) (/ 1 (* im re))) re)
(/ (- (+ (/ 1 im) (/ 1 (* im (pow re 2)))) (+ (/ 1 (* im re)) (/ 1 (* im (pow re 3))))) re)
(* 1/6 (* im re))
(* re (+ (* 1/6 im) (* 1/2 (/ im re))))
(* (pow re 3) (- (+ (* 1/6 im) (/ im (pow re 2))) (* -1/2 (/ im re))))
(* (pow re 3) (- (+ (* 1/6 im) (+ (/ im (pow re 2)) (/ im (pow re 3)))) (* -1/2 (/ im re))))
(/ 6 (* im re))
(/ (- (* 6 (/ 1 im)) (* 18 (/ 1 (* im re)))) re)
(/ (- (+ (* 6 (/ 1 im)) (/ 54 (* im (pow re 2)))) (/ 18 (* im re))) re)
(/ (- (+ (* 6 (/ 1 im)) (* 54 (/ 1 (* im (pow re 2))))) (+ (* 162 (/ 1 (* im (pow re 3)))) (/ 18 (* im re)))) re)
(* 1/36 (* im (pow re 2)))
(* (pow re 2) (+ (* -1/4 (/ im (pow re 2))) (* 1/36 im)))
(* -1 (* re (+ (* -1 im) (* -1 (/ im re)))))
(* -1 (* (pow re 3) (+ (* -1/2 (/ im re)) (* -1/6 im))))
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* 1/2 im) (/ im re)) re)) (* -1/6 im))))
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 im) (* -1 (/ im re))) re)) (* 1/2 im)) re)) (* -1/6 im))))
(* (pow re 2) (+ (* -1 (/ (+ (* -1 (/ im re)) (* -1/2 im)) re)) (* 1/6 im)))
(* -1 (/ (- (/ 1 (* im re)) (/ 1 im)) re))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* im re)) (/ 1 im)) re)) (/ 1 im)) re))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* im re)) (/ 1 im)) re)) (/ 1 im)) re)) (/ 1 im)) re))
(* -1 (* re (+ (* -1/2 (/ im re)) (* -1/6 im))))
(* -1 (/ (- (* 18 (/ 1 (* im re))) (* 6 (/ 1 im))) re))
(* -1 (/ (- (* -1 (/ (- (* 54 (/ 1 (* im re))) (* 18 (/ 1 im))) re)) (* 6 (/ 1 im))) re))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 162 (/ 1 (* im re))) (* 54 (/ 1 im))) re)) (* 18 (/ 1 im))) re)) (* 6 (/ 1 im))) 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))))))))
(* im (+ 1 re))
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(* im (+ 1 (* re (+ 1/2 (* 1/6 re)))))
(/ 1 (* im (+ 1 re)))
(/ (* im (- (* 1/36 (pow re 2)) 1/4)) (- (* 1/6 re) 1/2))
(* im (+ 1 (* re (+ 1 (/ (* re (- (* 1/36 (pow re 2)) 1/4)) (- (* 1/6 re) 1/2))))))
(* im (+ 1 (* -1/6 (pow im 2))))
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(/ (- (* 1/6 re) 1/2) (* im (- (* 1/36 (pow re 2)) 1/4)))
(* im (- (* 1/36 (pow re 2)) 1/4))
(* -1 (* im (- (* -1 re) 1)))
(* -1 (* im (- (* re (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)) 1)))
(* -1 (* im (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)))
(/ -1 (* im (- (* -1 re) 1)))
(* -1 (* im (- (* re (- (* -1 (/ (* re (- (* 1/36 (pow re 2)) 1/4)) (- (* 1/6 re) 1/2))) 1)) 1)))
Calls

6 calls:

TimeVariablePointExpression
11.0ms
re
@inf
((+ (* (* re re) 1/2) (+ 1 re)) (* (exp re) (sin im)) (exp re) (* re re) (* (exp re) (sin im)) (* (exp re) im) (+ (* im re) im) (* im re) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (/ 1 (/ 1 (+ (* im re) im))) (* (exp re) (sin im)) (* (exp re) im) (/ 1 (+ (* im re) im)) (/ 1 (/ (+ (* 1/6 re) -1/2) (* (+ (* 1/36 (* re re)) -1/4) im))) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (/ 1 (/ (+ (* 1/6 re) -1/2) (* (+ (* 1/36 (* re re)) -1/4) im))) re) im) re) im) (sin im) (* (* (* im re) re) 1/6) (/ (+ (* 1/6 re) -1/2) (* (+ (* 1/36 (* re re)) -1/4) im)) (* (+ (* 1/36 (* re re)) -1/4) im))
6.0ms
im
@-inf
((+ (* (* re re) 1/2) (+ 1 re)) (* (exp re) (sin im)) (exp re) (* re re) (* (exp re) (sin im)) (* (exp re) im) (+ (* im re) im) (* im re) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (/ 1 (/ 1 (+ (* im re) im))) (* (exp re) (sin im)) (* (exp re) im) (/ 1 (+ (* im re) im)) (/ 1 (/ (+ (* 1/6 re) -1/2) (* (+ (* 1/36 (* re re)) -1/4) im))) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (/ 1 (/ (+ (* 1/6 re) -1/2) (* (+ (* 1/36 (* re re)) -1/4) im))) re) im) re) im) (sin im) (* (* (* im re) re) 1/6) (/ (+ (* 1/6 re) -1/2) (* (+ (* 1/36 (* re re)) -1/4) im)) (* (+ (* 1/36 (* re re)) -1/4) im))
5.0ms
im
@0
((+ (* (* re re) 1/2) (+ 1 re)) (* (exp re) (sin im)) (exp re) (* re re) (* (exp re) (sin im)) (* (exp re) im) (+ (* im re) im) (* im re) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (/ 1 (/ 1 (+ (* im re) im))) (* (exp re) (sin im)) (* (exp re) im) (/ 1 (+ (* im re) im)) (/ 1 (/ (+ (* 1/6 re) -1/2) (* (+ (* 1/36 (* re re)) -1/4) im))) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (/ 1 (/ (+ (* 1/6 re) -1/2) (* (+ (* 1/36 (* re re)) -1/4) im))) re) im) re) im) (sin im) (* (* (* im re) re) 1/6) (/ (+ (* 1/6 re) -1/2) (* (+ (* 1/36 (* re re)) -1/4) im)) (* (+ (* 1/36 (* re re)) -1/4) im))
5.0ms
re
@0
((+ (* (* re re) 1/2) (+ 1 re)) (* (exp re) (sin im)) (exp re) (* re re) (* (exp re) (sin im)) (* (exp re) im) (+ (* im re) im) (* im re) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (/ 1 (/ 1 (+ (* im re) im))) (* (exp re) (sin im)) (* (exp re) im) (/ 1 (+ (* im re) im)) (/ 1 (/ (+ (* 1/6 re) -1/2) (* (+ (* 1/36 (* re re)) -1/4) im))) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (/ 1 (/ (+ (* 1/6 re) -1/2) (* (+ (* 1/36 (* re re)) -1/4) im))) re) im) re) im) (sin im) (* (* (* im re) re) 1/6) (/ (+ (* 1/6 re) -1/2) (* (+ (* 1/36 (* re re)) -1/4) im)) (* (+ (* 1/36 (* re re)) -1/4) im))
5.0ms
im
@inf
((+ (* (* re re) 1/2) (+ 1 re)) (* (exp re) (sin im)) (exp re) (* re re) (* (exp re) (sin im)) (* (exp re) im) (+ (* im re) im) (* im re) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (/ 1 (/ 1 (+ (* im re) im))) (* (exp re) (sin im)) (* (exp re) im) (/ 1 (+ (* im re) im)) (/ 1 (/ (+ (* 1/6 re) -1/2) (* (+ (* 1/36 (* re re)) -1/4) im))) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (/ 1 (/ (+ (* 1/6 re) -1/2) (* (+ (* 1/36 (* re re)) -1/4) im))) re) im) re) im) (sin im) (* (* (* im re) re) 1/6) (/ (+ (* 1/6 re) -1/2) (* (+ (* 1/36 (* re re)) -1/4) im)) (* (+ (* 1/36 (* re re)) -1/4) im))

simplify150.0ms (1.3%)

Memory
-16.3MiB live, 244.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02961081
19651039
22815984
36755980
08109884
Stop Event
iter limit
node limit
Counts
87 → 86
Calls
Call 1
Inputs
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(sin im)
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(pow re 2)
im
(+ im (* im re))
(+ im (* re (+ im (* 1/2 (* im re)))))
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
(* im re)
(+ im (* 1/2 (* im re)))
(+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))
(/ 1 im)
(+ (* -1 (/ re im)) (/ 1 im))
(+ (* re (- (/ re im) (/ 1 im))) (/ 1 im))
(+ (* re (- (* re (+ (* -1 (/ re im)) (/ 1 im))) (/ 1 im))) (/ 1 im))
(* 1/2 im)
(+ (* 1/6 (* im re)) (* 1/2 im))
(* 1/6 (* im (pow re 2)))
(/ 2 im)
(+ (* -2/3 (/ re im)) (* 2 (/ 1 im)))
(+ (* re (- (* 2/9 (/ re im)) (* 2/3 (/ 1 im)))) (* 2 (/ 1 im)))
(+ (* re (- (* re (+ (* -2/27 (/ re im)) (* 2/9 (/ 1 im)))) (* 2/3 (/ 1 im)))) (* 2 (/ 1 im)))
(* -1/4 im)
(+ (* -1/4 im) (* 1/36 (* im (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)))))
(* (exp re) (sin im))
(exp re)
(* im (exp re))
(* re (+ im (/ im re)))
(* 1/6 (* im (pow re 3)))
(* (pow re 3) (+ (* 1/6 im) (* 1/2 (/ im re))))
(* (pow re 3) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (/ im (pow re 2)))))
(* (pow re 3) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (+ (/ im (pow re 2)) (/ im (pow re 3))))))
(* (pow re 2) (+ (* 1/6 im) (* 1/2 (/ im re))))
(* (pow re 2) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (/ im (pow re 2)))))
(/ 1 (* im re))
(/ (- (/ 1 im) (/ 1 (* im re))) re)
(/ (- (+ (/ 1 im) (/ 1 (* im (pow re 2)))) (/ 1 (* im re))) re)
(/ (- (+ (/ 1 im) (/ 1 (* im (pow re 2)))) (+ (/ 1 (* im re)) (/ 1 (* im (pow re 3))))) re)
(* 1/6 (* im re))
(* re (+ (* 1/6 im) (* 1/2 (/ im re))))
(* (pow re 3) (- (+ (* 1/6 im) (/ im (pow re 2))) (* -1/2 (/ im re))))
(* (pow re 3) (- (+ (* 1/6 im) (+ (/ im (pow re 2)) (/ im (pow re 3)))) (* -1/2 (/ im re))))
(/ 6 (* im re))
(/ (- (* 6 (/ 1 im)) (* 18 (/ 1 (* im re)))) re)
(/ (- (+ (* 6 (/ 1 im)) (/ 54 (* im (pow re 2)))) (/ 18 (* im re))) re)
(/ (- (+ (* 6 (/ 1 im)) (* 54 (/ 1 (* im (pow re 2))))) (+ (* 162 (/ 1 (* im (pow re 3)))) (/ 18 (* im re)))) re)
(* 1/36 (* im (pow re 2)))
(* (pow re 2) (+ (* -1/4 (/ im (pow re 2))) (* 1/36 im)))
(* -1 (* re (+ (* -1 im) (* -1 (/ im re)))))
(* -1 (* (pow re 3) (+ (* -1/2 (/ im re)) (* -1/6 im))))
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* 1/2 im) (/ im re)) re)) (* -1/6 im))))
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 im) (* -1 (/ im re))) re)) (* 1/2 im)) re)) (* -1/6 im))))
(* (pow re 2) (+ (* -1 (/ (+ (* -1 (/ im re)) (* -1/2 im)) re)) (* 1/6 im)))
(* -1 (/ (- (/ 1 (* im re)) (/ 1 im)) re))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* im re)) (/ 1 im)) re)) (/ 1 im)) re))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* im re)) (/ 1 im)) re)) (/ 1 im)) re)) (/ 1 im)) re))
(* -1 (* re (+ (* -1/2 (/ im re)) (* -1/6 im))))
(* -1 (/ (- (* 18 (/ 1 (* im re))) (* 6 (/ 1 im))) re))
(* -1 (/ (- (* -1 (/ (- (* 54 (/ 1 (* im re))) (* 18 (/ 1 im))) re)) (* 6 (/ 1 im))) re))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 162 (/ 1 (* im re))) (* 54 (/ 1 im))) re)) (* 18 (/ 1 im))) re)) (* 6 (/ 1 im))) 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))))))))
(* im (+ 1 re))
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(* im (+ 1 (* re (+ 1/2 (* 1/6 re)))))
(/ 1 (* im (+ 1 re)))
(/ (* im (- (* 1/36 (pow re 2)) 1/4)) (- (* 1/6 re) 1/2))
(* im (+ 1 (* re (+ 1 (/ (* re (- (* 1/36 (pow re 2)) 1/4)) (- (* 1/6 re) 1/2))))))
(* im (+ 1 (* -1/6 (pow im 2))))
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(/ (- (* 1/6 re) 1/2) (* im (- (* 1/36 (pow re 2)) 1/4)))
(* im (- (* 1/36 (pow re 2)) 1/4))
(* -1 (* im (- (* -1 re) 1)))
(* -1 (* im (- (* re (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)) 1)))
(* -1 (* im (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)))
(/ -1 (* im (- (* -1 re) 1)))
(* -1 (* im (- (* re (- (* -1 (/ (* re (- (* 1/36 (pow re 2)) 1/4)) (- (* 1/6 re) 1/2))) 1)) 1)))
Outputs
1
#s(literal 1 binary64)
(+ 1 re)
(-.f64 re #s(literal -1 binary64))
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(sin im)
(sin.f64 im)
(+ (sin im) (* re (sin im)))
(fma.f64 (sin.f64 im) re (sin.f64 im))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(pow re 2)
(*.f64 re re)
im
(+ im (* im re))
(fma.f64 im re im)
(+ im (* re (+ im (* 1/2 (* im re)))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re im)
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im)
(* im re)
(*.f64 im re)
(+ im (* 1/2 (* im re)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im)
(+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im)
(/ 1 im)
(/.f64 #s(literal 1 binary64) im)
(+ (* -1 (/ re im)) (/ 1 im))
(-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im))
(+ (* re (- (/ re im) (/ 1 im))) (/ 1 im))
(fma.f64 (/.f64 re im) (+.f64 re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) im))
(+ (* re (- (* re (+ (* -1 (/ re im)) (/ 1 im))) (/ 1 im))) (/ 1 im))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) re #s(literal 1 binary64)) (/.f64 re im) (/.f64 #s(literal -1 binary64) im)) re (/.f64 #s(literal 1 binary64) im))
(* 1/2 im)
(*.f64 #s(literal 1/2 binary64) im)
(+ (* 1/6 (* im re)) (* 1/2 im))
(*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))
(* 1/6 (* im (pow re 2)))
(*.f64 (*.f64 (*.f64 re re) #s(literal 1/6 binary64)) im)
(/ 2 im)
(/.f64 #s(literal 2 binary64) im)
(+ (* -2/3 (/ re im)) (* 2 (/ 1 im)))
(fma.f64 (/.f64 #s(literal -2/3 binary64) im) re (/.f64 #s(literal 2 binary64) im))
(+ (* re (- (* 2/9 (/ re im)) (* 2/3 (/ 1 im)))) (* 2 (/ 1 im)))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) im) (fma.f64 #s(literal 2/9 binary64) re #s(literal -2/3 binary64))) re (/.f64 #s(literal 2 binary64) im))
(+ (* re (- (* re (+ (* -2/27 (/ re im)) (* 2/9 (/ 1 im)))) (* 2/3 (/ 1 im)))) (* 2 (/ 1 im)))
(fma.f64 (fma.f64 (/.f64 re im) (fma.f64 #s(literal -2/27 binary64) re #s(literal 2/9 binary64)) (/.f64 #s(literal -2/3 binary64) im)) re (/.f64 #s(literal 2 binary64) im))
(* -1/4 im)
(*.f64 #s(literal -1/4 binary64) im)
(+ (* -1/4 im) (* 1/36 (* im (pow re 2))))
(*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) im)
(* 1/2 (pow re 2))
(*.f64 (*.f64 re re) #s(literal 1/2 binary64))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(exp re)
(exp.f64 re)
(* im (exp re))
(*.f64 im (exp.f64 re))
(* re (+ im (/ im re)))
(fma.f64 im re im)
(* 1/6 (* im (pow re 3)))
(*.f64 (*.f64 (pow.f64 re #s(literal 3 binary64)) im) #s(literal 1/6 binary64))
(* (pow re 3) (+ (* 1/6 im) (* 1/2 (/ im re))))
(*.f64 (*.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re)
(* (pow re 3) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (/ im (pow re 2)))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) im (/.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) re)) (pow.f64 re #s(literal 3 binary64)))
(* (pow re 3) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (+ (/ im (pow re 2)) (/ im (pow re 3))))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) im (+.f64 (/.f64 im (pow.f64 re #s(literal 3 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) re))) (pow.f64 re #s(literal 3 binary64)))
(* (pow re 2) (+ (* 1/6 im) (* 1/2 (/ im re))))
(*.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re)
(* (pow re 2) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (/ im (pow re 2)))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) im (/.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) re)) (*.f64 re re))
(/ 1 (* im re))
(/.f64 (/.f64 #s(literal 1 binary64) re) im)
(/ (- (/ 1 im) (/ 1 (* im re))) re)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 (/.f64 #s(literal 1 binary64) re) im)) re)
(/ (- (+ (/ 1 im) (/ 1 (* im (pow re 2)))) (/ 1 (* im re))) re)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) re) im) (/.f64 #s(literal 1 binary64) im)) re) (/.f64 #s(literal -1 binary64) im)) re)
(/ (- (+ (/ 1 im) (/ 1 (* im (pow re 2)))) (+ (/ 1 (* im re)) (/ 1 (* im (pow re 3))))) re)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) im) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) re) im) (/.f64 #s(literal 1 binary64) im)) re)) re) (/.f64 #s(literal -1 binary64) im)) re)
(* 1/6 (* im re))
(*.f64 (*.f64 #s(literal 1/6 binary64) re) im)
(* re (+ (* 1/6 im) (* 1/2 (/ im re))))
(*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))
(* (pow re 3) (- (+ (* 1/6 im) (/ im (pow re 2))) (* -1/2 (/ im re))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) im (/.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) re)) (pow.f64 re #s(literal 3 binary64)))
(* (pow re 3) (- (+ (* 1/6 im) (+ (/ im (pow re 2)) (/ im (pow re 3)))) (* -1/2 (/ im re))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) im (+.f64 (/.f64 im (pow.f64 re #s(literal 3 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) re))) (pow.f64 re #s(literal 3 binary64)))
(/ 6 (* im re))
(/.f64 (/.f64 #s(literal 6 binary64) im) re)
(/ (- (* 6 (/ 1 im)) (* 18 (/ 1 (* im re)))) re)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) im) (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re))) re)
(/ (- (+ (* 6 (/ 1 im)) (/ 54 (* im (pow re 2)))) (/ 18 (* im re))) re)
(/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) re) im) (-.f64 (/.f64 #s(literal 54 binary64) re) #s(literal 18 binary64)) (/.f64 #s(literal 6 binary64) im)) re)
(/ (- (+ (* 6 (/ 1 im)) (* 54 (/ 1 (* im (pow re 2))))) (+ (* 162 (/ 1 (* im (pow re 3)))) (/ 18 (* im re)))) re)
(/.f64 (-.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) re) im) (-.f64 (/.f64 #s(literal 54 binary64) re) #s(literal 18 binary64)) (/.f64 #s(literal 6 binary64) im)) (/.f64 #s(literal 162 binary64) (*.f64 (pow.f64 re #s(literal 3 binary64)) im))) re)
(* 1/36 (* im (pow re 2)))
(*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 re re) im))
(* (pow re 2) (+ (* -1/4 (/ im (pow re 2))) (* 1/36 im)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) im) re) re (*.f64 (*.f64 #s(literal -1/4 binary64) im) #s(literal 1 binary64)))
(* -1 (* re (+ (* -1 im) (* -1 (/ im re)))))
(fma.f64 im re im)
(* -1 (* (pow re 3) (+ (* -1/2 (/ im re)) (* -1/6 im))))
(*.f64 (*.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re)
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* 1/2 im) (/ im re)) re)) (* -1/6 im))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) im (/.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) re)) (pow.f64 re #s(literal 3 binary64)))
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 im) (* -1 (/ im re))) re)) (* 1/2 im)) re)) (* -1/6 im))))
(*.f64 (neg.f64 (pow.f64 re #s(literal 3 binary64))) (fma.f64 #s(literal -1/6 binary64) im (/.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 (+.f64 (/.f64 im re) im) re)) (neg.f64 re))))
(* (pow re 2) (+ (* -1 (/ (+ (* -1 (/ im re)) (* -1/2 im)) re)) (* 1/6 im)))
(*.f64 (fma.f64 #s(literal 1/6 binary64) im (/.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) re)) (*.f64 re re))
(* -1 (/ (- (/ 1 (* im re)) (/ 1 im)) re))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 (/.f64 #s(literal 1 binary64) re) im)) re)
(* -1 (/ (- (* -1 (/ (- (/ 1 (* im re)) (/ 1 im)) re)) (/ 1 im)) re))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) re) im) (/.f64 #s(literal 1 binary64) im)) re) (/.f64 #s(literal -1 binary64) im)) re)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* im re)) (/ 1 im)) re)) (/ 1 im)) re)) (/ 1 im)) re))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) im) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) re) im) (/.f64 #s(literal 1 binary64) im)) re)) re) (/.f64 #s(literal -1 binary64) im)) re)
(* -1 (* re (+ (* -1/2 (/ im re)) (* -1/6 im))))
(*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))
(* -1 (/ (- (* 18 (/ 1 (* im re))) (* 6 (/ 1 im))) re))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) im) (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re))) re)
(* -1 (/ (- (* -1 (/ (- (* 54 (/ 1 (* im re))) (* 18 (/ 1 im))) re)) (* 6 (/ 1 im))) re))
(/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) re) im) (-.f64 (/.f64 #s(literal 54 binary64) re) #s(literal 18 binary64)) (/.f64 #s(literal 6 binary64) im)) re)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 162 (/ 1 (* im re))) (* 54 (/ 1 im))) re)) (* 18 (/ 1 im))) re)) (* 6 (/ 1 im))) re))
(/.f64 (-.f64 (/.f64 #s(literal 6 binary64) im) (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) re) im) (-.f64 (/.f64 #s(literal 162 binary64) re) #s(literal 54 binary64)) (/.f64 #s(literal 18 binary64) im)) re)) re)
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(*.f64 (exp.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (exp.f64 re) (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64))) (*.f64 im (exp.f64 re)))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (exp.f64 re) (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64))) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (exp.f64 re))) im)
(* im (+ 1 re))
(fma.f64 im re im)
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im)
(* im (+ 1 (* re (+ 1/2 (* 1/6 re)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im)
(/ 1 (* im (+ 1 re)))
(/.f64 #s(literal 1 binary64) (fma.f64 im re im))
(/ (* im (- (* 1/36 (pow re 2)) 1/4)) (- (* 1/6 re) 1/2))
(*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (/.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))))
(* im (+ 1 (* re (+ 1 (/ (* re (- (* 1/36 (pow re 2)) 1/4)) (- (* 1/6 re) 1/2))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (/.f64 re (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) #s(literal 1 binary64)) (*.f64 im re) im)
(* im (+ 1 (* -1/6 (pow im 2))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #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 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im)
(/ (- (* 1/6 re) 1/2) (* im (- (* 1/36 (pow re 2)) 1/4)))
(/.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) im) (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)))
(* im (- (* 1/36 (pow re 2)) 1/4))
(*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) im)
(* -1 (* im (- (* -1 re) 1)))
(fma.f64 im re im)
(* -1 (* im (- (* re (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)) 1)))
(fma.f64 (*.f64 (fma.f64 (neg.f64 re) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal -1 binary64)) re) (neg.f64 im) im)
(* -1 (* im (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) #s(literal 1 binary64)) im)
(/ -1 (* im (- (* -1 re) 1)))
(/.f64 #s(literal 1 binary64) (fma.f64 im re im))
(* -1 (* im (- (* re (- (* -1 (/ (* re (- (* 1/36 (pow re 2)) 1/4)) (- (* 1/6 re) 1/2))) 1)) 1)))
(*.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64))) (/.f64 re (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) #s(literal -1 binary64)) re #s(literal -1 binary64)) (neg.f64 im))

rewrite181.0ms (1.6%)

Memory
3.3MiB live, 291.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049350
073338
1268298
21919298
08301289
Stop Event
iter limit
node limit
iter limit
Counts
24 → 490
Calls
Call 1
Inputs
(fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) re))
(*.f64 #s(approx (exp re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) re))) (sin.f64 im))
#s(approx (exp re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) re)))
(*.f64 re re)
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re)))
#s(approx (+ (* im re) im) (*.f64 im re))
(*.f64 im re)
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/6 binary64))) re im)))
#s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/6 binary64))) re im))
(fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/6 binary64))) re im)
#s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/6 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im re im)))))
#s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im re im))))
(/.f64 #s(literal 1 binary64) (fma.f64 im re im))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) im))) re im) re im)))
#s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) im))) re im) re im))
(fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) im))) re im) re im)
(sin.f64 im)
(*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/6 binary64))
(/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) im))
(*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) im)
Outputs
(*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 re re)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) re)))
(*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))))
(*.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 re re) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) re)))))
(*.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) re) #s(literal 1 binary64)))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) re) (-.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))))))
(*.f64 (-.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 2 binary64))) (pow.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) re) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (+.f64 #s(literal 1 binary64) re))))))
(*.f64 (fma.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) re) (-.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) (+.f64 #s(literal 1 binary64) re)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) (+.f64 #s(literal 1 binary64) re))) #s(literal -1 binary64))
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(*.f64 im (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)))
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(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) im) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) im) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1/4 binary64) im) (*.f64 #s(literal -1/4 binary64) im) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) im) (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) im)) (*.f64 (*.f64 #s(literal -1/4 binary64) im) (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) im)))))
(/.f64 (+.f64 (pow.f64 (*.f64 im (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) #s(literal 3 binary64)) (pow.f64 (*.f64 im #s(literal -1/4 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 im (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (*.f64 im (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (-.f64 (*.f64 (*.f64 im #s(literal -1/4 binary64)) (*.f64 im #s(literal -1/4 binary64))) (*.f64 (*.f64 im (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (*.f64 im #s(literal -1/4 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 im #s(literal -1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 im (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) #s(literal 3 binary64))) (fma.f64 (*.f64 im #s(literal -1/4 binary64)) (*.f64 im #s(literal -1/4 binary64)) (-.f64 (*.f64 (*.f64 im (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (*.f64 im (*.f64 #s(literal 1/36 binary64) (*.f64 re re)))) (*.f64 (*.f64 im #s(literal -1/4 binary64)) (*.f64 im (*.f64 #s(literal 1/36 binary64) (*.f64 re re)))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/1296 binary64) (pow.f64 re #s(literal 4 binary64)) #s(literal -1/16 binary64)) im)) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/46656 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal -1/64 binary64)) im)) (neg.f64 (fma.f64 #s(literal 1/1296 binary64) (pow.f64 re #s(literal 4 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 re re) #s(literal -1/144 binary64))))))
(/.f64 (neg.f64 (*.f64 im (fma.f64 #s(literal 1/1296 binary64) (pow.f64 re #s(literal 4 binary64)) #s(literal -1/16 binary64)))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (*.f64 im (fma.f64 #s(literal 1/46656 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal -1/64 binary64)))) (neg.f64 (fma.f64 #s(literal 1/1296 binary64) (pow.f64 re #s(literal 4 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 re re) #s(literal -1/144 binary64))))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/1296 binary64) (pow.f64 re #s(literal 4 binary64)) #s(literal -1/16 binary64)) im) (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/46656 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal -1/64 binary64)) im) (fma.f64 #s(literal 1/1296 binary64) (pow.f64 re #s(literal 4 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 re re) #s(literal -1/144 binary64)))))
(/.f64 (*.f64 im (fma.f64 #s(literal 1/1296 binary64) (pow.f64 re #s(literal 4 binary64)) #s(literal -1/16 binary64))) (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal 1/4 binary64)))
(/.f64 (*.f64 im (fma.f64 #s(literal 1/46656 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal -1/64 binary64))) (fma.f64 #s(literal 1/1296 binary64) (pow.f64 re #s(literal 4 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 re re) #s(literal -1/144 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal 1/4 binary64)) (*.f64 (fma.f64 #s(literal 1/1296 binary64) (pow.f64 re #s(literal 4 binary64)) #s(literal -1/16 binary64)) im)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/1296 binary64) (pow.f64 re #s(literal 4 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 re re) #s(literal -1/144 binary64)))) (*.f64 (fma.f64 #s(literal 1/46656 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal -1/64 binary64)) im)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal 1/4 binary64)) (*.f64 im (fma.f64 #s(literal 1/1296 binary64) (pow.f64 re #s(literal 4 binary64)) #s(literal -1/16 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/1296 binary64) (pow.f64 re #s(literal 4 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 re re) #s(literal -1/144 binary64)))) (*.f64 im (fma.f64 #s(literal 1/46656 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal -1/64 binary64)))))
(fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) im (*.f64 #s(literal -1/4 binary64) im))
(fma.f64 #s(literal -1/4 binary64) im (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) im))
(fma.f64 im (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (*.f64 im #s(literal -1/4 binary64)))
(fma.f64 im #s(literal -1/4 binary64) (*.f64 im (*.f64 #s(literal 1/36 binary64) (*.f64 re re))))
(+.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) im) (*.f64 #s(literal -1/4 binary64) im))
(+.f64 (*.f64 #s(literal -1/4 binary64) im) (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) im))
(+.f64 (*.f64 im (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (*.f64 im #s(literal -1/4 binary64)))
(+.f64 (*.f64 im #s(literal -1/4 binary64)) (*.f64 im (*.f64 #s(literal 1/36 binary64) (*.f64 re re))))

eval81.0ms (0.7%)

Memory
6.7MiB live, 170.0MiB allocated
Compiler

Compiled 20 769 to 3 214 computations (84.5% saved)

prune132.0ms (1.2%)

Memory
-17.1MiB live, 66.5MiB allocated
Pruning

28 alts after pruning (15 fresh and 13 done)

PrunedKeptTotal
New56010570
Fresh358
Picked235
Done01010
Total56528593
Accuracy
100.0%
Counts
593 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (exp.f64 re) (sin.f64 im))
70.8%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
67.0%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
67.0%
(*.f64 #s(approx (exp re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) re))) (sin.f64 im))
69.8%
(*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) (sin.f64 im))
70.8%
(*.f64 #s(approx (exp re) (+.f64 re (fma.f64 (*.f64 re re) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sin.f64 im))
57.9%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
13.3%
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im))
68.4%
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
57.3%
#s(approx (* (exp re) (sin im)) (sin.f64 im))
41.0%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 (*.f64 im #s(literal 1/6 binary64)) re (*.f64 im #s(literal 1/2 binary64))) re im) re im)))
36.2%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(approx (* (+ (* 1/36 (* re re)) -1/4) im) (*.f64 #s(literal -1/4 binary64) im)))) re im) re im)))
37.8%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64))) re im) re im)))
40.4%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/6 binary64))) re im)))
40.4%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (*.f64 (*.f64 #s(literal 1/6 binary64) im) (*.f64 re re))) re im)))
33.9%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
50.5%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) re #s(literal 1 binary64)) (/.f64 re im) (/.f64 #s(literal -1 binary64) im)) re (/.f64 #s(literal 1 binary64) im))))))
44.0%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (fma.f64 (/.f64 re im) (+.f64 re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) im))))))
5.8%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 (/.f64 #s(literal 1 binary64) re) im)))))
5.7%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) re) im) (/.f64 #s(literal 1 binary64) im)) re) (/.f64 #s(literal -1 binary64) im)) re)))))
5.6%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 (/.f64 #s(literal 1 binary64) re) im)) re)))))
31.7%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 #s(literal 1 binary64) im)))))
37.5%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im))))))
42.1%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im)))
12.8%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re))))
12.8%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re))))
5.8%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))
36.5%
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
Compiler

Compiled 1 549 to 675 computations (56.4% saved)

regimes215.0ms (1.9%)

Memory
2.7MiB live, 81.1MiB allocated
Counts
37 → 1
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (*.f64 (*.f64 #s(literal 1/6 binary64) im) (*.f64 re re))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/6 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 #s(literal 1 binary64) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 #s(approx (* im (+ (* 1/6 re) 1/2)) (*.f64 (*.f64 im re) #s(literal 1/6 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im re im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 (*.f64 im #s(literal 1/6 binary64)) re (*.f64 im #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 (/.f64 #s(literal 1 binary64) re) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (fma.f64 (/.f64 re im) (+.f64 re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(approx (* (+ (* 1/36 (* re re)) -1/4) im) (*.f64 #s(literal -1/4 binary64) im)))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) im) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) im))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 (/.f64 #s(literal 1 binary64) re) im)) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) re #s(literal 1 binary64)) (/.f64 re im) (/.f64 #s(literal -1 binary64) im)) re (/.f64 #s(literal 1 binary64) im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) re) im) (/.f64 #s(literal 1 binary64) im)) re) (/.f64 #s(literal -1 binary64) im)) re)))))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
(*.f64 #s(approx (exp re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) re))) (sin.f64 im))
(*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) (sin.f64 im))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
(*.f64 #s(approx (exp re) (+.f64 re (fma.f64 (*.f64 re re) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) im))
(*.f64 (exp.f64 re) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (fma.f64 (sin.f64 im) re (sin.f64 im)))
Outputs
(*.f64 (exp.f64 re) (sin.f64 im))
Calls

5 calls:

154.0ms
re
26.0ms
(exp.f64 re)
11.0ms
(sin.f64 im)
11.0ms
im
10.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
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 11 to 15 computations (-36.4% saved)

regimes108.0ms (0.9%)

Memory
-4.4MiB live, 76.8MiB allocated
Counts
35 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (*.f64 (*.f64 #s(literal 1/6 binary64) im) (*.f64 re re))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/6 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 #s(literal 1 binary64) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 #s(approx (* im (+ (* 1/6 re) 1/2)) (*.f64 (*.f64 im re) #s(literal 1/6 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im re im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 (*.f64 im #s(literal 1/6 binary64)) re (*.f64 im #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 (/.f64 #s(literal 1 binary64) re) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (fma.f64 (/.f64 re im) (+.f64 re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(approx (* (+ (* 1/36 (* re re)) -1/4) im) (*.f64 #s(literal -1/4 binary64) im)))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) im) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) im))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 (/.f64 #s(literal 1 binary64) re) im)) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) re #s(literal 1 binary64)) (/.f64 re im) (/.f64 #s(literal -1 binary64) im)) re (/.f64 #s(literal 1 binary64) im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) re) im) (/.f64 #s(literal 1 binary64) im)) re) (/.f64 #s(literal -1 binary64) im)) re)))))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
(*.f64 #s(approx (exp re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) re))) (sin.f64 im))
(*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) (sin.f64 im))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
(*.f64 #s(approx (exp re) (+.f64 re (fma.f64 (*.f64 re re) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) im))
Outputs
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
Calls

5 calls:

42.0ms
re
33.0ms
(exp.f64 re)
11.0ms
(sin.f64 im)
11.0ms
im
9.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
95.3%2re
84.9%2im
98.3%4(*.f64 (exp.f64 re) (sin.f64 im))
95.3%2(exp.f64 re)
84.9%3(sin.f64 im)
Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes28.0ms (0.2%)

Memory
24.7MiB live, 24.7MiB allocated
Counts
32 → 4
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (*.f64 (*.f64 #s(literal 1/6 binary64) im) (*.f64 re re))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/6 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 #s(literal 1 binary64) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 #s(approx (* im (+ (* 1/6 re) 1/2)) (*.f64 (*.f64 im re) #s(literal 1/6 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im re im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 (*.f64 im #s(literal 1/6 binary64)) re (*.f64 im #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 (/.f64 #s(literal 1 binary64) re) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (fma.f64 (/.f64 re im) (+.f64 re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(approx (* (+ (* 1/36 (* re re)) -1/4) im) (*.f64 #s(literal -1/4 binary64) im)))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) im) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) im))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 (/.f64 #s(literal 1 binary64) re) im)) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) re #s(literal 1 binary64)) (/.f64 re im) (/.f64 #s(literal -1 binary64) im)) re (/.f64 #s(literal 1 binary64) im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) re) im) (/.f64 #s(literal 1 binary64) im)) re) (/.f64 #s(literal -1 binary64) im)) re)))))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
(*.f64 #s(approx (exp re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) re))) (sin.f64 im))
(*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) (sin.f64 im))
Outputs
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
(*.f64 #s(approx (exp re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) re))) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
(*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) (sin.f64 im))
Calls

3 calls:

10.0ms
re
9.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
8.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
98.1%4(*.f64 (exp.f64 re) (sin.f64 im))
94.3%2(exp.f64 re)
98.1%4re
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes3.9s (34.3%)

Memory
-17.6MiB live, 21.4MiB allocated
Counts
31 → 5
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (*.f64 (*.f64 #s(literal 1/6 binary64) im) (*.f64 re re))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/6 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 #s(literal 1 binary64) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 #s(approx (* im (+ (* 1/6 re) 1/2)) (*.f64 (*.f64 im re) #s(literal 1/6 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im re im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 (*.f64 im #s(literal 1/6 binary64)) re (*.f64 im #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 (/.f64 #s(literal 1 binary64) re) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (fma.f64 (/.f64 re im) (+.f64 re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(approx (* (+ (* 1/36 (* re re)) -1/4) im) (*.f64 #s(literal -1/4 binary64) im)))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) im) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) im))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 (/.f64 #s(literal 1 binary64) re) im)) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) re #s(literal 1 binary64)) (/.f64 re im) (/.f64 #s(literal -1 binary64) im)) re (/.f64 #s(literal 1 binary64) im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) re) im) (/.f64 #s(literal 1 binary64) im)) re) (/.f64 #s(literal -1 binary64) im)) re)))))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
(*.f64 #s(approx (exp re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) re))) (sin.f64 im))
Outputs
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
(*.f64 #s(approx (exp re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) re))) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
Calls

3 calls:

3.9s
(*.f64 (exp.f64 re) (sin.f64 im))
9.0ms
re
7.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
94.2%3(exp.f64 re)
98.9%5(*.f64 (exp.f64 re) (sin.f64 im))
96.2%4re
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes10.0ms (0.1%)

Memory
11.0MiB live, 11.0MiB allocated
Counts
30 → 5
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (*.f64 (*.f64 #s(literal 1/6 binary64) im) (*.f64 re re))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/6 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 #s(literal 1 binary64) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 #s(approx (* im (+ (* 1/6 re) 1/2)) (*.f64 (*.f64 im re) #s(literal 1/6 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im re im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 (*.f64 im #s(literal 1/6 binary64)) re (*.f64 im #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 (/.f64 #s(literal 1 binary64) re) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (fma.f64 (/.f64 re im) (+.f64 re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(approx (* (+ (* 1/36 (* re re)) -1/4) im) (*.f64 #s(literal -1/4 binary64) im)))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) im) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) im))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 (/.f64 #s(literal 1 binary64) re) im)) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) re #s(literal 1 binary64)) (/.f64 re im) (/.f64 #s(literal -1 binary64) im)) re (/.f64 #s(literal 1 binary64) im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) re) im) (/.f64 #s(literal 1 binary64) im)) re) (/.f64 #s(literal -1 binary64) im)) re)))))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
Outputs
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
Calls

1 calls:

8.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
98.9%5(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 5 to 5 computations (0% saved)

regimes10.0ms (0.1%)

Memory
11.9MiB live, 11.9MiB allocated
Counts
29 → 5
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (*.f64 (*.f64 #s(literal 1/6 binary64) im) (*.f64 re re))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/6 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 #s(literal 1 binary64) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 #s(approx (* im (+ (* 1/6 re) 1/2)) (*.f64 (*.f64 im re) #s(literal 1/6 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im re im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 (*.f64 im #s(literal 1/6 binary64)) re (*.f64 im #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 (/.f64 #s(literal 1 binary64) re) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (fma.f64 (/.f64 re im) (+.f64 re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(approx (* (+ (* 1/36 (* re re)) -1/4) im) (*.f64 #s(literal -1/4 binary64) im)))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) im) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) im))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 (/.f64 #s(literal 1 binary64) re) im)) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) re #s(literal 1 binary64)) (/.f64 re im) (/.f64 #s(literal -1 binary64) im)) re (/.f64 #s(literal 1 binary64) im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) re) im) (/.f64 #s(literal 1 binary64) im)) re) (/.f64 #s(literal -1 binary64) im)) re)))))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im))
Outputs
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
Calls

1 calls:

8.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
98.7%5(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 5 to 5 computations (0% saved)

regimes48.0ms (0.4%)

Memory
-26.9MiB live, 11.7MiB allocated
Counts
27 → 5
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (*.f64 (*.f64 #s(literal 1/6 binary64) im) (*.f64 re re))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/6 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 #s(literal 1 binary64) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 #s(approx (* im (+ (* 1/6 re) 1/2)) (*.f64 (*.f64 im re) #s(literal 1/6 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im re im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 (*.f64 im #s(literal 1/6 binary64)) re (*.f64 im #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 (/.f64 #s(literal 1 binary64) re) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (fma.f64 (/.f64 re im) (+.f64 re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(approx (* (+ (* 1/36 (* re re)) -1/4) im) (*.f64 #s(literal -1/4 binary64) im)))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) im) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) im))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 (/.f64 #s(literal 1 binary64) re) im)) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) re #s(literal 1 binary64)) (/.f64 re im) (/.f64 #s(literal -1 binary64) im)) re (/.f64 #s(literal 1 binary64) im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) re) im) (/.f64 #s(literal 1 binary64) im)) re) (/.f64 #s(literal -1 binary64) im)) re)))))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
Outputs
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
Calls

1 calls:

46.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
98.5%5(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 5 to 5 computations (0% saved)

regimes9.0ms (0.1%)

Memory
11.8MiB live, 11.8MiB allocated
Counts
26 → 5
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (*.f64 (*.f64 #s(literal 1/6 binary64) im) (*.f64 re re))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/6 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 #s(literal 1 binary64) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 #s(approx (* im (+ (* 1/6 re) 1/2)) (*.f64 (*.f64 im re) #s(literal 1/6 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im re im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 (*.f64 im #s(literal 1/6 binary64)) re (*.f64 im #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 (/.f64 #s(literal 1 binary64) re) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (fma.f64 (/.f64 re im) (+.f64 re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(approx (* (+ (* 1/36 (* re re)) -1/4) im) (*.f64 #s(literal -1/4 binary64) im)))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) im) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) im))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 (/.f64 #s(literal 1 binary64) re) im)) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) re #s(literal 1 binary64)) (/.f64 re im) (/.f64 #s(literal -1 binary64) im)) re (/.f64 #s(literal 1 binary64) im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) re) im) (/.f64 #s(literal 1 binary64) im)) re) (/.f64 #s(literal -1 binary64) im)) re)))))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
Outputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(approx (* (+ (* 1/36 (* re re)) -1/4) im) (*.f64 #s(literal -1/4 binary64) im)))) re im) re im)))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
Calls

1 calls:

7.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
98.2%5(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 5 to 5 computations (0% saved)

regimes63.0ms (0.6%)

Memory
-5.4MiB live, 34.2MiB allocated
Counts
25 → 5
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (*.f64 (*.f64 #s(literal 1/6 binary64) im) (*.f64 re re))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/6 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 #s(literal 1 binary64) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 #s(approx (* im (+ (* 1/6 re) 1/2)) (*.f64 (*.f64 im re) #s(literal 1/6 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im re im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 (*.f64 im #s(literal 1/6 binary64)) re (*.f64 im #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 (/.f64 #s(literal 1 binary64) re) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (fma.f64 (/.f64 re im) (+.f64 re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(approx (* (+ (* 1/36 (* re re)) -1/4) im) (*.f64 #s(literal -1/4 binary64) im)))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) im) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) im))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 (/.f64 #s(literal 1 binary64) re) im)) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) re #s(literal 1 binary64)) (/.f64 re im) (/.f64 #s(literal -1 binary64) im)) re (/.f64 #s(literal 1 binary64) im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) re) im) (/.f64 #s(literal 1 binary64) im)) re) (/.f64 #s(literal -1 binary64) im)) re)))))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
Outputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(approx (* (+ (* 1/36 (* re re)) -1/4) im) (*.f64 #s(literal -1/4 binary64) im)))) re im) re im)))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) re #s(literal 1 binary64)) (/.f64 re im) (/.f64 #s(literal -1 binary64) im)) re (/.f64 #s(literal 1 binary64) im))))))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im)))
Calls

3 calls:

47.0ms
(exp.f64 re)
8.0ms
re
7.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
86.2%3(exp.f64 re)
86.2%3re
90.5%5(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes98.0ms (0.9%)

Memory
-3.2MiB live, 40.9MiB allocated
Counts
24 → 3
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (*.f64 (*.f64 #s(literal 1/6 binary64) im) (*.f64 re re))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/6 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 #s(literal 1 binary64) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 #s(approx (* im (+ (* 1/6 re) 1/2)) (*.f64 (*.f64 im re) #s(literal 1/6 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im re im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 (*.f64 im #s(literal 1/6 binary64)) re (*.f64 im #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 (/.f64 #s(literal 1 binary64) re) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (fma.f64 (/.f64 re im) (+.f64 re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(approx (* (+ (* 1/36 (* re re)) -1/4) im) (*.f64 #s(literal -1/4 binary64) im)))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) im) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) im))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 (/.f64 #s(literal 1 binary64) re) im)) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) re #s(literal 1 binary64)) (/.f64 re im) (/.f64 #s(literal -1 binary64) im)) re (/.f64 #s(literal 1 binary64) im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) re) im) (/.f64 #s(literal 1 binary64) im)) re) (/.f64 #s(literal -1 binary64) im)) re)))))
Outputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(approx (* (+ (* 1/36 (* re re)) -1/4) im) (*.f64 #s(literal -1/4 binary64) im)))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) re #s(literal 1 binary64)) (/.f64 re im) (/.f64 #s(literal -1 binary64) im)) re (/.f64 #s(literal 1 binary64) im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im)))
Calls

5 calls:

68.0ms
re
8.0ms
(sin.f64 im)
8.0ms
im
7.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
6.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
50.5%1(sin.f64 im)
61.0%2re
61.0%2(exp.f64 re)
52.4%2im
65.3%3(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes19.0ms (0.2%)

Memory
15.8MiB live, 15.8MiB allocated
Counts
21 → 3
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (*.f64 (*.f64 #s(literal 1/6 binary64) im) (*.f64 re re))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/6 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 #s(literal 1 binary64) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 #s(approx (* im (+ (* 1/6 re) 1/2)) (*.f64 (*.f64 im re) #s(literal 1/6 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im re im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 (*.f64 im #s(literal 1/6 binary64)) re (*.f64 im #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 (/.f64 #s(literal 1 binary64) re) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (fma.f64 (/.f64 re im) (+.f64 re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(approx (* (+ (* 1/36 (* re re)) -1/4) im) (*.f64 #s(literal -1/4 binary64) im)))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) im) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) im))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 (/.f64 #s(literal 1 binary64) re) im)) re)))))
Outputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(approx (* (+ (* 1/36 (* re re)) -1/4) im) (*.f64 #s(literal -1/4 binary64) im)))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (fma.f64 (/.f64 re im) (+.f64 re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im)))
Calls

3 calls:

7.0ms
re
6.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
5.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
54.4%2(exp.f64 re)
54.4%2re
58.8%3(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes6.0ms (0.1%)

Memory
5.3MiB live, 5.3MiB allocated
Counts
17 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (*.f64 (*.f64 #s(literal 1/6 binary64) im) (*.f64 re re))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/6 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 #s(literal 1 binary64) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 #s(approx (* im (+ (* 1/6 re) 1/2)) (*.f64 (*.f64 im re) #s(literal 1/6 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im re im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 (*.f64 im #s(literal 1/6 binary64)) re (*.f64 im #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 (/.f64 #s(literal 1 binary64) re) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (fma.f64 (/.f64 re im) (+.f64 re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) im))))))
Outputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (fma.f64 (/.f64 re im) (+.f64 re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im)))
Calls

1 calls:

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

Compiled 5 to 5 computations (0% saved)

regimes54.0ms (0.5%)

Memory
-15.0MiB live, 21.6MiB allocated
Counts
16 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (*.f64 (*.f64 #s(literal 1/6 binary64) im) (*.f64 re re))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/6 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 #s(literal 1 binary64) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 #s(approx (* im (+ (* 1/6 re) 1/2)) (*.f64 (*.f64 im re) #s(literal 1/6 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im re im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 (*.f64 im #s(literal 1/6 binary64)) re (*.f64 im #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 (/.f64 #s(literal 1 binary64) re) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im))))))
Outputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im)))
Calls

5 calls:

33.0ms
re
5.0ms
(sin.f64 im)
5.0ms
im
5.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
4.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
42.1%1(sin.f64 im)
42.1%1im
47.9%2(exp.f64 re)
47.9%2re
48.1%2(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes14.0ms (0.1%)

Memory
12.2MiB live, 12.2MiB allocated
Counts
15 → 1
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (*.f64 (*.f64 #s(literal 1/6 binary64) im) (*.f64 re re))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/6 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 #s(literal 1 binary64) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 #s(approx (* im (+ (* 1/6 re) 1/2)) (*.f64 (*.f64 im re) #s(literal 1/6 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im re im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 (*.f64 im #s(literal 1/6 binary64)) re (*.f64 im #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 (/.f64 #s(literal 1 binary64) re) im)))))
Outputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im)))
Calls

3 calls:

5.0ms
re
5.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
4.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
42.1%1re
42.1%1(exp.f64 re)
42.1%1(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes55.0ms (0.5%)

Memory
-9.2MiB live, 29.2MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (*.f64 (*.f64 #s(literal 1/6 binary64) im) (*.f64 re re))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/6 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 #s(literal 1 binary64) im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 #s(approx (* im (+ (* 1/6 re) 1/2)) (*.f64 (*.f64 im re) #s(literal 1/6 binary64))) re im) re im)))
Outputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 #s(approx (* im (+ (* 1/6 re) 1/2)) (*.f64 (*.f64 im re) #s(literal 1/6 binary64))) re im) re im)))
Calls

5 calls:

41.0ms
(sin.f64 im)
4.0ms
im
4.0ms
re
3.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
3.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
40.9%1re
40.9%1(exp.f64 re)
40.9%1im
40.9%1(sin.f64 im)
40.9%1(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes40.0ms (0.3%)

Memory
-5.4MiB live, 34.2MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (*.f64 (*.f64 #s(literal 1/6 binary64) im) (*.f64 re re))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/6 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (/.f64 #s(literal 1 binary64) im)))))
Outputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/6 binary64))) re im)))
Calls

5 calls:

25.0ms
(exp.f64 re)
4.0ms
im
4.0ms
(sin.f64 im)
3.0ms
re
3.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
40.4%1re
40.4%1(exp.f64 re)
40.4%1im
40.4%1(sin.f64 im)
40.4%1(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes13.0ms (0.1%)

Memory
21.8MiB live, 21.8MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (*.f64 (*.f64 #s(literal 1/6 binary64) im) (*.f64 re re))) re im)))
Outputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (*.f64 (*.f64 #s(literal 1/6 binary64) im) (*.f64 re re))) re im)))
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
40.4%1re
40.4%1(exp.f64 re)
40.4%1im
40.4%1(sin.f64 im)
40.4%1(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes76.0ms (0.7%)

Memory
-31.8MiB live, 13.4MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re))))
Outputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re))))
Calls

5 calls:

67.0ms
im
2.0ms
(sin.f64 im)
2.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
2.0ms
re
2.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
41.0%2re
41.0%2(exp.f64 re)
37.8%1im
37.8%1(sin.f64 im)
41.1%2(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes6.0ms (0.1%)

Memory
7.1MiB live, 7.1MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64))) re im) re im)))
Outputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re im)))
Calls

3 calls:

2.0ms
re
2.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
2.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
37.8%1re
37.8%1(exp.f64 re)
37.8%1(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes7.0ms (0.1%)

Memory
10.0MiB live, 10.0MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
Outputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
Calls

5 calls:

1.0ms
(sin.f64 im)
1.0ms
re
1.0ms
im
1.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
1.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
33.9%1re
33.9%1(exp.f64 re)
33.9%1im
33.9%1(sin.f64 im)
33.9%1(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes6.0ms (0.1%)

Memory
9.1MiB live, 9.1MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

5 calls:

1.0ms
(sin.f64 im)
1.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
1.0ms
re
1.0ms
im
1.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
5.8%1im
5.8%1(sin.f64 im)
5.8%1re
5.8%1(exp.f64 re)
5.8%1(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 11 to 15 computations (-36.4% saved)

bsearch79.0ms (0.7%)

Memory
-28.4MiB live, 10.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
78.0ms
-40764.459514815244
-0.1519888212281687
Samples
9.0ms144×0valid
Compiler

Compiled 242 to 208 computations (14% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-sin: 3.0ms (52.6% of total)
ival-exp: 2.0ms (35.1% of total)
ival-mult: 1.0ms (17.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch23.0ms (0.2%)

Memory
22.7MiB live, 22.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
9.0ms
2.5531899516518803e+100
1.5138253059713423e+101
11.0ms
3.330023077756449e-24
5.379952620871546e-22
1.0ms
-40764.459514815244
-0.1519888212281687
Samples
12.0ms208×0valid
Compiler

Compiled 596 to 520 computations (12.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-sin: 4.0ms (54.4% of total)
ival-exp: 2.0ms (27.2% of total)
ival-mult: 1.0ms (13.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9928661676074946
+inf
0.0ms
0.0
5.934441990417069e-304
0.0ms
-0.038154556770274455
0.0
0.0ms
-inf
-0.9997619543290535
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9928661676074946
+inf
0.0ms
0.0
5.934441990417069e-304
0.0ms
-0.038154556770274455
0.0
0.0ms
-inf
-0.9997619543290535
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9928661676074946
+inf
0.0ms
8.170451066676376e-79
4.769971697406064e-75
0.0ms
-0.038154556770274455
0.0
0.0ms
-inf
-0.9997619543290535
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9928661676074946
+inf
0.0ms
3.9545611428663326e-7
6.474964424710848e-7
0.0ms
-0.038154556770274455
0.0
0.0ms
-inf
-0.9997619543290535
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9928661676074946
+inf
0.0ms
3.9545611428663326e-7
6.474964424710848e-7
0.0ms
-0.038154556770274455
0.0
0.0ms
-inf
-0.9997619543290535
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9928661676074946
+inf
0.0ms
3.9545611428663326e-7
6.474964424710848e-7
0.0ms
-0.038154556770274455
0.0
0.0ms
-inf
-0.9997619543290535
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
5.934441990417069e-304
0.0ms
-0.9997619543290535
-0.997587086942212
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
5.934441990417069e-304
0.0ms
-inf
-0.9997619543290535
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
5.934441990417069e-304
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
5.934441990417069e-304
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.00614960690962722
0.0380546359719644
Compiler

Compiled 8 to 10 computations (-25% saved)

simplify186.0ms (1.6%)

Memory
-20.0MiB live, 56.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01821232
12231210
22881210
34301210
45821210
57611210
610621210
711301210
811611210
916451210
1024631210
1130881210
1239911210
1351441210
1459841210
1568741210
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (exp.f64 re) (sin.f64 im))
(if (<=.f64 re #s(literal -5584463537939415/36028797018963968 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)))
(if (<=.f64 re #s(literal -5584463537939415/36028797018963968 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (if (<=.f64 re #s(literal 2764794231232625/5316911983139663491615228241121378304 binary64)) (*.f64 #s(approx (exp re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) re))) (sin.f64 im)) (if (<=.f64 re #s(literal 149999999999999996557426989786800494267026407988622500919499396209799017827118486695489194172226732032 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) (sin.f64 im)))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (*.f64 #s(approx (exp re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) re))) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 8343699359066055/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 4722366482869645/9444732965739290427392 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(approx (* (+ (* 1/36 (* re re)) -1/4) im) (*.f64 #s(literal -1/4 binary64) im)))) re im) re im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 4722366482869645/9444732965739290427392 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(approx (* (+ (* 1/36 (* re re)) -1/4) im) (*.f64 #s(literal -1/4 binary64) im)))) re im) re im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 4722366482869645/9444732965739290427392 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) re #s(literal 1 binary64)) (/.f64 re im) (/.f64 #s(literal -1 binary64) im)) re (/.f64 #s(literal 1 binary64) 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)) #s(approx (* (exp re) im) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im)))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -4494592428115755/4503599627370496 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(approx (* (+ (* 1/36 (* re re)) -1/4) im) (*.f64 #s(literal -1/4 binary64) im)))) re im) re im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) re #s(literal 1 binary64)) (/.f64 re im) (/.f64 #s(literal -1 binary64) im)) re (/.f64 #s(literal 1 binary64) im)))))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im)))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(approx (* (+ (* 1/36 (* re re)) -1/4) im) (*.f64 #s(literal -1/4 binary64) im)))) re im) re im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (fma.f64 (/.f64 re im) (+.f64 re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) im)))))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im)))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (fma.f64 (/.f64 re im) (+.f64 re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) im)))))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im)))))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 #s(approx (* im (+ (* 1/6 re) 1/2)) (*.f64 (*.f64 im re) #s(literal 1/6 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/6 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (*.f64 (*.f64 #s(literal 1/6 binary64) im) (*.f64 re re))) re im)))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 5764607523034235/576460752303423488 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))
Outputs
(*.f64 (exp.f64 re) (sin.f64 im))
(if (<=.f64 re #s(literal -5584463537939415/36028797018963968 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)))
(if (<=.f64 re #s(literal -5584463537939415/36028797018963968 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (if (<=.f64 re #s(literal 2764794231232625/5316911983139663491615228241121378304 binary64)) (*.f64 #s(approx (exp re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) re))) (sin.f64 im)) (if (<=.f64 re #s(literal 149999999999999996557426989786800494267026407988622500919499396209799017827118486695489194172226732032 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) (sin.f64 im)))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (*.f64 #s(approx (exp re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) re))) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) (if (or (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) (not (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)))) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (*.f64 #s(approx (exp re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) re))) (sin.f64 im)))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) (if (or (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) (not (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)))) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 8343699359066055/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) (if (or (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (not (or (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 8343699359066055/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 binary64)) (not (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)))))) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 4722366482869645/9444732965739290427392 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) (if (or (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (not (or (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 4722366482869645/9444732965739290427392 binary64)) (not (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)))))) #s(approx (* (exp re) (sin im)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(approx (* (+ (* 1/36 (* re re)) -1/4) im) (*.f64 #s(literal -1/4 binary64) im)))) re im) re im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 4722366482869645/9444732965739290427392 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))))))
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(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(approx (* (+ (* 1/36 (* re re)) -1/4) im) (*.f64 #s(literal -1/4 binary64) im)))) re im) re im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 4722366482869645/9444732965739290427392 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) re #s(literal 1 binary64)) (/.f64 re im) (/.f64 #s(literal -1 binary64) im)) re (/.f64 #s(literal 1 binary64) 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)) #s(approx (* (exp re) im) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im)))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(approx (* (+ (* 1/36 (* re re)) -1/4) im) (*.f64 #s(literal -1/4 binary64) im))) #s(literal -1 binary64)) re im) re im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 4722366482869645/9444732965739290427392 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (pow.f64 #s(approx (/ 1 (+ (* im re) im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) re #s(literal 1 binary64)) (/.f64 re im) (/.f64 #s(literal -1 binary64) im)) re (pow.f64 im #s(literal -1 binary64)))) #s(literal -1 binary64)))) (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)) #s(approx (* (exp re) im) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im)))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -4494592428115755/4503599627370496 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(approx (* (+ (* 1/36 (* re re)) -1/4) im) (*.f64 #s(literal -1/4 binary64) im)))) re im) re im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) re #s(literal 1 binary64)) (/.f64 re im) (/.f64 #s(literal -1 binary64) im)) re (/.f64 #s(literal 1 binary64) im)))))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im)))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -4494592428115755/4503599627370496 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(approx (* (+ (* 1/36 (* re re)) -1/4) im) (*.f64 #s(literal -1/4 binary64) im))) #s(literal -1 binary64)) re im) re im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (pow.f64 #s(approx (/ 1 (+ (* im re) im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) re #s(literal 1 binary64)) (/.f64 re im) (/.f64 #s(literal -1 binary64) im)) re (pow.f64 im #s(literal -1 binary64)))) #s(literal -1 binary64)))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im)))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(approx (* (+ (* 1/36 (* re re)) -1/4) im) (*.f64 #s(literal -1/4 binary64) im)))) re im) re im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (fma.f64 (/.f64 re im) (+.f64 re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) im)))))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im)))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(approx (* (+ (* 1/36 (* re re)) -1/4) im) (*.f64 #s(literal -1/4 binary64) im))) #s(literal -1 binary64)) re im) re im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (pow.f64 #s(approx (/ 1 (+ (* im re) im)) (fma.f64 (/.f64 re im) (+.f64 re #s(literal -1 binary64)) (pow.f64 im #s(literal -1 binary64)))) #s(literal -1 binary64)))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im)))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (fma.f64 (/.f64 re im) (+.f64 re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) im)))))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (pow.f64 #s(approx (/ 1 (+ (* im re) im)) (fma.f64 (/.f64 re im) (+.f64 re #s(literal -1 binary64)) (pow.f64 im #s(literal -1 binary64)))) #s(literal -1 binary64)))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* im re) im)) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im)))))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (pow.f64 #s(approx (/ 1 (+ (* im re) im)) (-.f64 (pow.f64 im #s(literal -1 binary64)) (/.f64 re im))) #s(literal -1 binary64)))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 #s(approx (* im (+ (* 1/6 re) 1/2)) (*.f64 (*.f64 im re) #s(literal 1/6 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (*.f64 (*.f64 (*.f64 im re) re) #s(literal 1/6 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (*.f64 (*.f64 #s(literal 1/6 binary64) im) (*.f64 re re))) re im)))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 5764607523034235/576460752303423488 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))

soundness2.3s (19.9%)

Memory
12.9MiB live, 1 403.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0191693
1646655
22084626
34945612
08649531
071192
1221181
2584169
31576163
42434163
53117163
63586163
73734163
84023163
95924163
08211141
049350
073338
1268298
21919298
08301289
02961081
19651039
22815984
36755980
08109884
0125381
1406366
21119344
33959338
47383338
08095287
041288
061288
1222288
21578288
08351278
025128
043128
1128128
2826128
08360128
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 1 644 to 639 computations (61.1% saved)

preprocess183.0ms (1.6%)

Memory
19.9MiB live, 256.7MiB allocated
Remove

(negabs im)

Compiler

Compiled 2 450 to 406 computations (83.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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