math.cos on complex, imaginary part

Time bar (total: 11.2s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.3MiB live, 0.3MiB 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 13 to 12 computations (7.7% saved)

sample2.7s (24.5%)

Memory
54.3MiB live, 2 063.7MiB allocated
Samples
857.0ms4 373×0valid
716.0ms2 799×1valid
505.0ms1 084×2valid
Precisions
Click to see histograms. Total time spent on operations: 1.7s
ival-exp: 800.0ms (45.9% of total)
ival-sin: 483.0ms (27.7% of total)
ival-mult: 212.0ms (12.2% of total)
adjust: 84.0ms (4.8% of total)
ival-sub: 84.0ms (4.8% of total)
ival-neg: 62.0ms (3.6% of total)
ival-true: 7.0ms (0.4% of total)
exact: 5.0ms (0.3% of total)
ival-assert: 4.0ms (0.2% of total)
Bogosity

explain209.0ms (1.9%)

Memory
11.6MiB live, 449.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1240-0-(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
00-0-(exp.f64 im)
00-0-(neg.f64 im)
00-0-(exp.f64 (neg.f64 im))
00-0-(sin.f64 re)
00-0-im
00-0-(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
00-0-(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
00-0-re
00-0-#s(literal 1/2 binary64)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))cancellation1240
Confusion
Predicted +Predicted -
+1020
-22132
Precision
0.8225806451612904
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+10200
-220132
Precision?
0.8225806451612904
Recall?
1.0
Freqs
test
numberfreq
0132
1124
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
51.0ms104×2valid
34.0ms142×1valid
28.0ms266×0valid
Compiler

Compiled 147 to 57 computations (61.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 88.0ms
ival-exp: 47.0ms (53.6% of total)
ival-mult: 13.0ms (14.8% of total)
ival-sin: 12.0ms (13.7% of total)
adjust: 8.0ms (9.1% of total)
ival-sub: 4.0ms (4.6% of total)
ival-neg: 2.0ms (2.3% of total)
ival-true: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess168.0ms (1.5%)

Memory
-28.9MiB live, 75.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02561
17057
223255
381155
4190255
5280955
6318855
7353655
8356155
9356155
10356155
11359355
12359955
13359955
01011
01711
12911
25711
312111
421811
535511
652011
776711
8109811
9136011
10139811
11142111
12142311
13142311
0142311
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))
Symmetry

(negabs im)

(negabs re)

Compiler

Compiled 11 to 10 computations (9.1% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.6%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify45.0ms (0.4%)

Memory
-0.5MiB live, 37.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01033
01733
12933
25733
312133
421833
535533
652033
776733
8109833
9136033
10139833
11142133
12142333
13142333
0142333
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
#s(literal 1/2 binary64)
(sin.f64 re)
re
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(sin.f64 re)
re
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)

localize79.0ms (0.7%)

Memory
-0.5MiB live, 152.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(exp.f64 (neg.f64 im))
accuracy0
(exp.f64 im)
accuracy0.0625
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
accuracy28.957602417423395
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
Samples
30.0ms52×2valid
21.0ms71×1valid
13.0ms133×0valid
Compiler

Compiled 68 to 22 computations (67.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-exp: 35.0ms (66.9% of total)
ival-sin: 6.0ms (11.5% of total)
ival-mult: 4.0ms (7.6% of total)
adjust: 3.0ms (5.7% of total)
ival-sub: 2.0ms (3.8% of total)
ival-neg: 1.0ms (1.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
11.9MiB live, 11.8MiB allocated
Counts
6 → 36
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
(sin.f64 re)
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 im)
(exp.f64 (neg.f64 im))
Outputs
(* 1/2 (* re (- (exp (neg im)) (exp im))))
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im))))))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp im)))))))))
(* 1/2 re)
(* re (+ 1/2 (* -1/12 (pow re 2))))
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))
re
(* re (+ 1 (* -1/6 (pow re 2))))
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (sin re))
(sin re)
(* -1 (* im (sin re)))
(* im (+ (* -1 (sin re)) (* -1/6 (* (pow im 2) (sin re)))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* -1/120 (* (pow im 2) (sin re)))))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* (pow im 2) (+ (* -1/120 (sin re)) (* -1/5040 (* (pow im 2) (sin re)))))))))
(* -2 im)
(* im (- (* -1/3 (pow im 2)) 2))
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
1
(+ 1 im)
(+ 1 (* im (+ 1 (* 1/2 im))))
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))
(+ 1 (* -1 im))
(+ 1 (* im (- (* 1/2 im) 1)))
(+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1)))
(- (exp (neg im)) (exp im))
(exp im)
(exp (neg im))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(- (exp (* -1 im)) (exp im))
(exp (* -1 im))
Calls

6 calls:

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

simplify238.0ms (2.1%)

Memory
-20.9MiB live, 294.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0146434
1413399
21136387
33928366
46803366
08425328
Stop Event
iter limit
node limit
Counts
36 → 35
Calls
Call 1
Inputs
(* 1/2 (* re (- (exp (neg im)) (exp im))))
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im))))))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp im)))))))))
(* 1/2 re)
(* re (+ 1/2 (* -1/12 (pow re 2))))
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))
re
(* re (+ 1 (* -1/6 (pow re 2))))
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (sin re))
(sin re)
(* -1 (* im (sin re)))
(* im (+ (* -1 (sin re)) (* -1/6 (* (pow im 2) (sin re)))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* -1/120 (* (pow im 2) (sin re)))))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* (pow im 2) (+ (* -1/120 (sin re)) (* -1/5040 (* (pow im 2) (sin re)))))))))
(* -2 im)
(* im (- (* -1/3 (pow im 2)) 2))
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
1
(+ 1 im)
(+ 1 (* im (+ 1 (* 1/2 im))))
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))
(+ 1 (* -1 im))
(+ 1 (* im (- (* 1/2 im) 1)))
(+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1)))
(- (exp (neg im)) (exp im))
(exp im)
(exp (neg im))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(- (exp (* -1 im)) (exp im))
(exp (* -1 im))
Outputs
(* 1/2 (* re (- (exp (neg im)) (exp im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))))
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) re)
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im))))))))
(*.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) re)
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp im)))))))))
(*.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) re)
(* 1/2 re)
(*.f64 #s(literal 1/2 binary64) re)
(* re (+ 1/2 (* -1/12 (pow re 2))))
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)
re
(* re (+ 1 (* -1/6 (pow re 2))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re)
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re)
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal -1/6 binary64)) re)
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (sin re))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
(sin re)
(sin.f64 re)
(* -1 (* im (sin re)))
(*.f64 (neg.f64 im) (sin.f64 re))
(* im (+ (* -1 (sin re)) (* -1/6 (* (pow im 2) (sin re)))))
(*.f64 (neg.f64 (sin.f64 re)) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* -1/120 (* (pow im 2) (sin re)))))))
(*.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64)) (neg.f64 im)))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* (pow im 2) (+ (* -1/120 (sin re)) (* -1/5040 (* (pow im 2) (sin re)))))))))
(*.f64 (*.f64 (sin.f64 re) (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) im)
(* -2 im)
(*.f64 #s(literal -2 binary64) im)
(* im (- (* -1/3 (pow im 2)) 2))
(*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)
1
#s(literal 1 binary64)
(+ 1 im)
(+.f64 #s(literal 1 binary64) im)
(+ 1 (* im (+ 1 (* 1/2 im))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) im #s(literal 1 binary64))
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) im #s(literal 1/2 binary64)) im #s(literal 1 binary64)) im #s(literal 1 binary64))
(+ 1 (* -1 im))
(-.f64 #s(literal 1 binary64) im)
(+ 1 (* im (- (* 1/2 im) 1)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal -1 binary64)) im #s(literal 1 binary64))
(+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) im #s(literal -1 binary64)) im #s(literal 1 binary64))
(- (exp (neg im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp im)
(exp.f64 im)
(exp (neg im))
(exp.f64 (neg.f64 im))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp (* -1 im))
(exp.f64 (neg.f64 im))

rewrite87.0ms (0.8%)

Memory
7.8MiB live, 97.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01028
01728
14228
223728
0226928
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
6 → 148
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
(sin.f64 re)
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 im)
(exp.f64 (neg.f64 im))
Outputs
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64)))) (+.f64 (expm1.f64 (*.f64 im #s(literal 2 binary64))) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (-.f64 (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 4 binary64)) (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (*.f64 im #s(literal -2 binary64))) (pow.f64 (exp.f64 im) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (+.f64 (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))) (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 4 binary64))))
(*.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re))
(*.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (sin.f64 re)) #s(literal 1/2 binary64))
(*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
(*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1 binary64)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (sin.f64 re) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (sin.f64 re)))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64)))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(/.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (neg.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
(/.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (neg.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(/.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))) (*.f64 (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))) (-.f64 (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (-.f64 (*.f64 (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))) (*.f64 (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))) (neg.f64 (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(fma.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (exp.f64 im) (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(fma.f64 (*.f64 (neg.f64 (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re) (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(fma.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re) (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (/.f64 (sin.f64 re) (exp.f64 im)) #s(literal 1/2 binary64) (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (neg.f64 (exp.f64 im)) (sin.f64 re)) #s(literal 1/2 binary64) (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(fma.f64 #s(literal -1 binary64) (*.f64 (exp.f64 im) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(fma.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (exp.f64 (neg.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (neg.f64 (exp.f64 im)) (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(fma.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 im))) (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(fma.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im))) (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
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(+.f64 (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(+.f64 (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
(sin.f64 re)
(*.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64)))) (+.f64 (expm1.f64 (*.f64 im #s(literal 2 binary64))) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))
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(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))
(*.f64 (exp.f64 (neg.f64 im)) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) im)
(pow.f64 (exp.f64 im) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 im)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 im))))
(/.f64 #s(literal 1 binary64) (exp.f64 im))
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 im)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) im))
(exp.f64 (neg.f64 im))

eval31.0ms (0.3%)

Memory
11.7MiB live, 50.2MiB allocated
Compiler

Compiled 4 502 to 611 computations (86.4% saved)

prune9.0ms (0.1%)

Memory
-8.4MiB live, 30.9MiB allocated
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1719180
Fresh000
Picked011
Done000
Total17110181
Accuracy
99.9%
Counts
181 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
12.8%
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
63.6%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
63.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im)))
91.9%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
90.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
82.8%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
52.2%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
51.0%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) re))
82.8%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 (sin.f64 re)) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im)))
50.6%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re)))
Compiler

Compiled 391 to 306 computations (21.7% saved)

simplify126.0ms (1.1%)

Memory
-9.9MiB live, 141.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
cost-diff0
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
cost-diff0
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) re)
cost-diff0
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) re))
cost-diff0
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
cost-diff0
(*.f64 #s(literal 1/2 binary64) re)
cost-diff0
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
cost-diff0
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
cost-diff0
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
cost-diff0
(sin.f64 re)
cost-diff0
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
cost-diff0
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
cost-diff0
(sin.f64 re)
cost-diff0
(neg.f64 im)
cost-diff0
(*.f64 (neg.f64 im) (sin.f64 re))
cost-diff0
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re)))
cost-diff0
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
cost-diff0
(sin.f64 re)
cost-diff0
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
cost-diff0
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043363
075363
1128363
2255363
3626363
41621363
53283363
65150363
08013363
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
#s(literal 1/2 binary64)
(sin.f64 re)
re
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64))
(fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64))
(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))
#s(literal -1/2520 binary64)
(*.f64 im im)
im
#s(literal -1/60 binary64)
#s(literal -1/3 binary64)
#s(literal -2 binary64)
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re)))
(*.f64 (neg.f64 im) (sin.f64 re))
(neg.f64 im)
im
(sin.f64 re)
re
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
#s(literal 1/2 binary64)
(sin.f64 re)
re
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)
(fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64))
(fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64))
#s(literal -1/60 binary64)
(*.f64 im im)
im
#s(literal -1/3 binary64)
#s(literal -2 binary64)
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 #s(literal 1/2 binary64) re)
#s(literal 1/2 binary64)
re
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) re))
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) re)
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(*.f64 re re)
re
#s(literal -1/12 binary64)
#s(literal 1/2 binary64)
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(sin.f64 re)
re
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64))
(fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64))
(fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64))
(fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64))
(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))
(fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))
#s(literal -1/2520 binary64)
(*.f64 im im)
im
#s(literal -1/60 binary64)
#s(literal -1/3 binary64)
#s(literal -2 binary64)
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re)))
(*.f64 (neg.f64 im) (sin.f64 re))
(neg.f64 im)
im
(sin.f64 re)
re
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(sin.f64 re)
re
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)
(fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64))
(fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64))
#s(literal -1/60 binary64)
(*.f64 im im)
im
#s(literal -1/3 binary64)
#s(literal -2 binary64)
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))))
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
#s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) re)
(*.f64 re #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
re
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) re))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) re)
(*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))
(*.f64 re re)
re
#s(literal -1/12 binary64)
#s(literal 1/2 binary64)
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)

localize257.0ms (2.3%)

Memory
32.3MiB live, 275.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.05859375
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
accuracy5.8937468180049635
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
accuracy23.605134234256802
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) re))
accuracy28.957602417423395
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
accuracy0
(exp.f64 im)
accuracy0.0625
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
accuracy28.957602417423395
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
accuracy30.00518918681821
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
accuracy0.0546875
(fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64))
accuracy0.0625
(fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64))
accuracy0.0625
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
accuracy6.312421310168253
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
accuracy0
(sin.f64 re)
accuracy0
(neg.f64 im)
accuracy0.11328125
(*.f64 (neg.f64 im) (sin.f64 re))
accuracy31.548565655017732
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re)))
accuracy0.05078125
(fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64))
accuracy0.0625
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
accuracy0.28800533958636443
(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))
accuracy5.077141979029446
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
Samples
122.0ms52×2valid
48.0ms134×0valid
45.0ms70×1valid
Compiler

Compiled 649 to 81 computations (87.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 178.0ms
adjust: 68.0ms (38.1% of total)
ival-mult: 45.0ms (25.2% of total)
ival-exp: 23.0ms (12.9% of total)
ival-add: 17.0ms (9.5% of total)
const: 16.0ms (9% of total)
ival-sin: 6.0ms (3.4% of total)
ival-sub: 2.0ms (1.1% of total)
ival-neg: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series24.0ms (0.2%)

Memory
-4.1MiB live, 32.0MiB allocated
Counts
22 → 77
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
(sin.f64 re)
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re)))
(*.f64 (neg.f64 im) (sin.f64 re))
(neg.f64 im)
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 #s(literal 1/2 binary64) re)
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) re))
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) re)
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))
(fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64))
(fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64))
(fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64))
(exp.f64 im)
Outputs
(* 1/2 (* re (- (exp (neg im)) (exp im))))
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im))))))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp im)))))))))
(* 1/2 re)
(* re (+ 1/2 (* -1/12 (pow re 2))))
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))
re
(* re (+ 1 (* -1/6 (pow re 2))))
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))
(* -1 (* im re))
(* re (+ (* -1 im) (* 1/6 (* im (pow re 2)))))
(* re (+ (* -1 im) (* (pow re 2) (+ (* -1/120 (* im (pow re 2))) (* 1/6 im)))))
(* re (+ (* -1 im) (* (pow re 2) (+ (* 1/6 im) (* (pow re 2) (+ (* -1/120 im) (* 1/5040 (* im (pow re 2)))))))))
(* 1/2 (- (exp (neg im)) (exp im)))
(+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))
1/2
(+ 1/2 (* -1/12 (pow re 2)))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (sin re))
(sin re)
(* -1 (* im (sin re)))
(* -1/12 (* (pow re 3) (- (exp (neg im)) (exp im))))
(* (pow re 3) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/2 (/ (- (exp (neg im)) (exp im)) (pow re 2)))))
(* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im))))
(* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/2 (/ (- (exp (neg im)) (exp im)) (pow re 2)))))
(* -1/12 (pow re 2))
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/12))
(* -1 (* (pow re 3) (+ (* -1/2 (/ (- (exp (neg im)) (exp im)) (pow re 2))) (* 1/12 (- (exp (neg im)) (exp im))))))
(* im (+ (* -1 (sin re)) (* -1/6 (* (pow im 2) (sin re)))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* -1/120 (* (pow im 2) (sin re)))))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* (pow im 2) (+ (* -1/120 (sin re)) (* -1/5040 (* (pow im 2) (sin re)))))))))
(* -2 im)
(* im (- (* -1/3 (pow im 2)) 2))
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
(* -1 im)
(* -2 (* im (* re (+ 1/2 (* -1/12 (pow re 2))))))
(* im (+ (* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/3 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2))))))))
(* im (+ (* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1/3 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/60 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2))))))))))
(* im (+ (* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1/3 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1/60 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/2520 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2))))))))))))
(* -2 (* im (+ 1/2 (* -1/12 (pow re 2)))))
(* im (+ (* -2 (+ 1/2 (* -1/12 (pow re 2)))) (* -1/3 (* (pow im 2) (+ 1/2 (* -1/12 (pow re 2)))))))
(* im (+ (* -2 (+ 1/2 (* -1/12 (pow re 2)))) (* (pow im 2) (+ (* -1/3 (+ 1/2 (* -1/12 (pow re 2)))) (* -1/60 (* (pow im 2) (+ 1/2 (* -1/12 (pow re 2)))))))))
(* im (+ (* -2 (+ 1/2 (* -1/12 (pow re 2)))) (* (pow im 2) (+ (* -1/3 (+ 1/2 (* -1/12 (pow re 2)))) (* (pow im 2) (+ (* -1/60 (+ 1/2 (* -1/12 (pow re 2)))) (* -1/2520 (* (pow im 2) (+ 1/2 (* -1/12 (pow re 2)))))))))))
-1/60
(- (* -1/2520 (pow im 2)) 1/60)
-1/3
(- (* -1/60 (pow im 2)) 1/3)
(- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)
-2
(- (* -1/3 (pow im 2)) 2)
(- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2)
1
(+ 1 im)
(+ 1 (* im (+ 1 (* 1/2 im))))
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))
(- (exp (neg im)) (exp im))
(* re (* (+ 1/2 (* -1/12 (pow re 2))) (- (exp (neg im)) (exp im))))
(* (+ 1/2 (* -1/12 (pow re 2))) (- (exp (neg im)) (exp im)))
(* -1/2520 (pow im 2))
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* -1/2520 (pow im 4))
(* -1 (* (pow im 4) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* (pow im 4) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(* -1/60 (pow im 4))
(* -1 (* (pow im 4) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(* (pow im 4) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow im 2)))) (pow im 2))) 1/60))
(* -1/60 (pow im 2))
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(exp im)
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(- (exp (* -1 im)) (exp im))
(* re (* (+ 1/2 (* -1/12 (pow re 2))) (- (exp (* -1 im)) (exp im))))
(* (+ 1/2 (* -1/12 (pow re 2))) (- (exp (* -1 im)) (exp im)))
Calls

6 calls:

TimeVariablePointExpression
7.0ms
re
@0
((* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg im) (sin re)) (neg im) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* 1/2 re) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (+ (* (* re re) -1/12) 1/2) (+ (* -1/2520 (* im im)) -1/60) (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) (+ (* -1/60 (* im im)) -1/3) (exp im))
6.0ms
im
@inf
((* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg im) (sin re)) (neg im) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* 1/2 re) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (+ (* (* re re) -1/12) 1/2) (+ (* -1/2520 (* im im)) -1/60) (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) (+ (* -1/60 (* im im)) -1/3) (exp im))
3.0ms
im
@0
((* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg im) (sin re)) (neg im) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* 1/2 re) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (+ (* (* re re) -1/12) 1/2) (+ (* -1/2520 (* im im)) -1/60) (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) (+ (* -1/60 (* im im)) -1/3) (exp im))
3.0ms
im
@-inf
((* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg im) (sin re)) (neg im) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* 1/2 re) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (+ (* (* re re) -1/12) 1/2) (+ (* -1/2520 (* im im)) -1/60) (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) (+ (* -1/60 (* im im)) -1/3) (exp im))
2.0ms
re
@inf
((* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg im) (sin re)) (neg im) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* 1/2 re) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (+ (* (* re re) -1/12) 1/2) (+ (* -1/2520 (* im im)) -1/60) (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) (+ (* -1/60 (* im im)) -1/3) (exp im))

simplify185.0ms (1.7%)

Memory
-5.3MiB live, 191.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02491127
1823978
22974934
37845934
08325857
Stop Event
iter limit
node limit
Counts
77 → 76
Calls
Call 1
Inputs
(* 1/2 (* re (- (exp (neg im)) (exp im))))
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im))))))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp im)))))))))
(* 1/2 re)
(* re (+ 1/2 (* -1/12 (pow re 2))))
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))
re
(* re (+ 1 (* -1/6 (pow re 2))))
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))
(* -1 (* im re))
(* re (+ (* -1 im) (* 1/6 (* im (pow re 2)))))
(* re (+ (* -1 im) (* (pow re 2) (+ (* -1/120 (* im (pow re 2))) (* 1/6 im)))))
(* re (+ (* -1 im) (* (pow re 2) (+ (* 1/6 im) (* (pow re 2) (+ (* -1/120 im) (* 1/5040 (* im (pow re 2)))))))))
(* 1/2 (- (exp (neg im)) (exp im)))
(+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))
1/2
(+ 1/2 (* -1/12 (pow re 2)))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (sin re))
(sin re)
(* -1 (* im (sin re)))
(* -1/12 (* (pow re 3) (- (exp (neg im)) (exp im))))
(* (pow re 3) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/2 (/ (- (exp (neg im)) (exp im)) (pow re 2)))))
(* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im))))
(* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/2 (/ (- (exp (neg im)) (exp im)) (pow re 2)))))
(* -1/12 (pow re 2))
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/12))
(* -1 (* (pow re 3) (+ (* -1/2 (/ (- (exp (neg im)) (exp im)) (pow re 2))) (* 1/12 (- (exp (neg im)) (exp im))))))
(* im (+ (* -1 (sin re)) (* -1/6 (* (pow im 2) (sin re)))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* -1/120 (* (pow im 2) (sin re)))))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* (pow im 2) (+ (* -1/120 (sin re)) (* -1/5040 (* (pow im 2) (sin re)))))))))
(* -2 im)
(* im (- (* -1/3 (pow im 2)) 2))
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
(* -1 im)
(* -2 (* im (* re (+ 1/2 (* -1/12 (pow re 2))))))
(* im (+ (* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/3 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2))))))))
(* im (+ (* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1/3 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/60 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2))))))))))
(* im (+ (* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1/3 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1/60 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/2520 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2))))))))))))
(* -2 (* im (+ 1/2 (* -1/12 (pow re 2)))))
(* im (+ (* -2 (+ 1/2 (* -1/12 (pow re 2)))) (* -1/3 (* (pow im 2) (+ 1/2 (* -1/12 (pow re 2)))))))
(* im (+ (* -2 (+ 1/2 (* -1/12 (pow re 2)))) (* (pow im 2) (+ (* -1/3 (+ 1/2 (* -1/12 (pow re 2)))) (* -1/60 (* (pow im 2) (+ 1/2 (* -1/12 (pow re 2)))))))))
(* im (+ (* -2 (+ 1/2 (* -1/12 (pow re 2)))) (* (pow im 2) (+ (* -1/3 (+ 1/2 (* -1/12 (pow re 2)))) (* (pow im 2) (+ (* -1/60 (+ 1/2 (* -1/12 (pow re 2)))) (* -1/2520 (* (pow im 2) (+ 1/2 (* -1/12 (pow re 2)))))))))))
-1/60
(- (* -1/2520 (pow im 2)) 1/60)
-1/3
(- (* -1/60 (pow im 2)) 1/3)
(- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)
-2
(- (* -1/3 (pow im 2)) 2)
(- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2)
1
(+ 1 im)
(+ 1 (* im (+ 1 (* 1/2 im))))
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))
(- (exp (neg im)) (exp im))
(* re (* (+ 1/2 (* -1/12 (pow re 2))) (- (exp (neg im)) (exp im))))
(* (+ 1/2 (* -1/12 (pow re 2))) (- (exp (neg im)) (exp im)))
(* -1/2520 (pow im 2))
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* -1/2520 (pow im 4))
(* -1 (* (pow im 4) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* (pow im 4) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(* -1/60 (pow im 4))
(* -1 (* (pow im 4) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(* (pow im 4) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow im 2)))) (pow im 2))) 1/60))
(* -1/60 (pow im 2))
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(exp im)
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(- (exp (* -1 im)) (exp im))
(* re (* (+ 1/2 (* -1/12 (pow re 2))) (- (exp (* -1 im)) (exp im))))
(* (+ 1/2 (* -1/12 (pow re 2))) (- (exp (* -1 im)) (exp im)))
Outputs
(* 1/2 (* re (- (exp (neg im)) (exp im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))))
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im))))))))
(*.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (+.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 re re) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))))) re)
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp im)))))))))
(*.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64))) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) re)
(* 1/2 re)
(*.f64 #s(literal 1/2 binary64) re)
(* re (+ 1/2 (* -1/12 (pow re 2))))
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)
re
(* re (+ 1 (* -1/6 (pow re 2))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re)
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re)
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal -1/6 binary64)) re)
(* -1 (* im re))
(*.f64 (neg.f64 im) re)
(* re (+ (* -1 im) (* 1/6 (* im (pow re 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im) re)
(* re (+ (* -1 im) (* (pow re 2) (+ (* -1/120 (* im (pow re 2))) (* 1/6 im)))))
(*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re)
(* re (+ (* -1 im) (* (pow re 2) (+ (* 1/6 im) (* (pow re 2) (+ (* -1/120 im) (* 1/5040 (* im (pow re 2)))))))))
(*.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 im (fma.f64 #s(literal 1/5040 binary64) (*.f64 re re) #s(literal -1/120 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im)) re)
(* 1/2 (- (exp (neg im)) (exp im)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/12 (pow re 2)))
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (sin re))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
(sin re)
(sin.f64 re)
(* -1 (* im (sin re)))
(*.f64 (neg.f64 (sin.f64 re)) im)
(* -1/12 (* (pow re 3) (- (exp (neg im)) (exp im))))
(*.f64 (*.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/12 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* (pow re 3) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/2 (/ (- (exp (neg im)) (exp im)) (pow re 2)))))
(*.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64))) (pow.f64 re #s(literal 3 binary64)))
(* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im))))
(*.f64 (*.f64 (*.f64 re re) #s(literal -1/12 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/2 (/ (- (exp (neg im)) (exp im)) (pow re 2)))))
(*.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64))) (*.f64 re re))
(* -1/12 (pow re 2))
(*.f64 (*.f64 re re) #s(literal -1/12 binary64))
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/12))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re)
(* -1 (* (pow re 3) (+ (* -1/2 (/ (- (exp (neg im)) (exp im)) (pow re 2))) (* 1/12 (- (exp (neg im)) (exp im))))))
(*.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64))) (pow.f64 re #s(literal 3 binary64)))
(* im (+ (* -1 (sin re)) (* -1/6 (* (pow im 2) (sin re)))))
(*.f64 (*.f64 (sin.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* -1/120 (* (pow im 2) (sin re)))))))
(*.f64 (fma.f64 (*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64))) (*.f64 im im) (neg.f64 (sin.f64 re))) im)
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* (pow im 2) (+ (* -1/120 (sin re)) (* -1/5040 (* (pow im 2) (sin re)))))))))
(*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) (*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) im)
(* -2 im)
(*.f64 #s(literal -2 binary64) im)
(* im (- (* -1/3 (pow im 2)) 2))
(*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)
(* -1 im)
(neg.f64 im)
(* -2 (* im (* re (+ 1/2 (* -1/12 (pow re 2))))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im) re)
(* im (+ (* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/3 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2))))))))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)
(* im (+ (* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1/3 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/60 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2))))))))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im) re))
(* im (+ (* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1/3 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1/60 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/2520 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2))))))))))))
(*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im)
(* -2 (* im (+ 1/2 (* -1/12 (pow re 2)))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im)
(* im (+ (* -2 (+ 1/2 (* -1/12 (pow re 2)))) (* -1/3 (* (pow im 2) (+ 1/2 (* -1/12 (pow re 2)))))))
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)
(* im (+ (* -2 (+ 1/2 (* -1/12 (pow re 2)))) (* (pow im 2) (+ (* -1/3 (+ 1/2 (* -1/12 (pow re 2)))) (* -1/60 (* (pow im 2) (+ 1/2 (* -1/12 (pow re 2)))))))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im))
(* im (+ (* -2 (+ 1/2 (* -1/12 (pow re 2)))) (* (pow im 2) (+ (* -1/3 (+ 1/2 (* -1/12 (pow re 2)))) (* (pow im 2) (+ (* -1/60 (+ 1/2 (* -1/12 (pow re 2)))) (* -1/2520 (* (pow im 2) (+ 1/2 (* -1/12 (pow re 2)))))))))))
(*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im)
-1/60
#s(literal -1/60 binary64)
(- (* -1/2520 (pow im 2)) 1/60)
(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))
-1/3
#s(literal -1/3 binary64)
(- (* -1/60 (pow im 2)) 1/3)
(fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64))
(- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)
(fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64))
-2
#s(literal -2 binary64)
(- (* -1/3 (pow im 2)) 2)
(fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))
(- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2)
(fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64))
1
#s(literal 1 binary64)
(+ 1 im)
(+.f64 #s(literal 1 binary64) im)
(+ 1 (* im (+ 1 (* 1/2 im))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) im #s(literal 1 binary64))
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) im #s(literal 1/2 binary64)) im #s(literal 1 binary64)) im #s(literal 1 binary64))
(- (exp (neg im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* re (* (+ 1/2 (* -1/12 (pow re 2))) (- (exp (neg im)) (exp im))))
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* (+ 1/2 (* -1/12 (pow re 2))) (- (exp (neg im)) (exp im)))
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* -1/2520 (pow im 2))
(*.f64 #s(literal -1/2520 binary64) (*.f64 im im))
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))
(* -1/2520 (pow im 4))
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/2520 binary64))
(* -1 (* (pow im 4) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 im im)) #s(literal -1 binary64) #s(literal -1/2520 binary64)) (pow.f64 im #s(literal 4 binary64)))
(* (pow im 4) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(*.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal -1/60 binary64)) im) im) #s(literal 1/2520 binary64)) (pow.f64 im #s(literal 4 binary64)))
(* -1/60 (pow im 4))
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/60 binary64))
(* -1 (* (pow im 4) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(*.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal -1/60 binary64)) (pow.f64 im #s(literal 4 binary64)))
(* (pow im 4) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow im 2)))) (pow im 2))) 1/60))
(*.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 im im)) #s(literal -1/3 binary64)) im) im) #s(literal 1/60 binary64)) (pow.f64 im #s(literal 4 binary64)))
(* -1/60 (pow im 2))
(*.f64 #s(literal -1/60 binary64) (*.f64 im im))
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64))
(exp im)
(exp.f64 im)
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* re (* (+ 1/2 (* -1/12 (pow re 2))) (- (exp (* -1 im)) (exp im))))
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* (+ 1/2 (* -1/12 (pow re 2))) (- (exp (* -1 im)) (exp im)))
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

rewrite171.0ms (1.5%)

Memory
-12.3MiB live, 231.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043259
075259
1220259
21359259
08282259
Stop Event
iter limit
node limit
iter limit
Counts
22 → 470
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
(sin.f64 re)
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re)))
(*.f64 (neg.f64 im) (sin.f64 re))
(neg.f64 im)
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 #s(literal 1/2 binary64) re)
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) re))
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) re)
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))
(fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64))
(fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64))
(fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64))
(exp.f64 im)
Outputs
(*.f64 (*.f64 #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) #s(literal 1/2 binary64)) (sin.f64 re))
(*.f64 (*.f64 #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) (sin.f64 re)) #s(literal 1/2 binary64))
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(+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -1/60 binary64) (*.f64 im im)))
(*.f64 #s(literal 1 binary64) (exp.f64 im))
(*.f64 (exp.f64 im) #s(literal 1 binary64))
(/.f64 (neg.f64 (exp.f64 im)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))
(/.f64 (exp.f64 im) #s(literal 1 binary64))
(exp.f64 im)

eval75.0ms (0.7%)

Memory
24.1MiB live, 138.0MiB allocated
Compiler

Compiled 25 320 to 2 863 computations (88.7% saved)

prune31.0ms (0.3%)

Memory
-17.1MiB live, 63.5MiB allocated
Pruning

23 alts after pruning (18 fresh and 5 done)

PrunedKeptTotal
New63416650
Fresh224
Picked145
Done011
Total63723660
Accuracy
99.9%
Counts
660 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.2%
(fma.f64 (exp.f64 (neg.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (*.f64 (neg.f64 (exp.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))))
12.8%
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
63.6%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
91.9%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
90.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
91.9%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
82.8%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
58.6%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
57.5%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
52.2%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
58.6%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
57.8%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
27.7%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 im (sin.f64 re)) (*.f64 im (sin.f64 re)))) (+.f64 #s(literal 0 binary64) (*.f64 im (sin.f64 re)))))
53.9%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 im (neg.f64 (*.f64 im im)))) (sin.f64 re)))
51.0%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) re))
77.7%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
82.8%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 (sin.f64 re)) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im)))
50.6%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re)))
33.0%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im)) re))
53.4%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re))
57.6%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im)))
34.4%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re)))
29.7%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))
Compiler

Compiled 1 243 to 848 computations (31.8% saved)

simplify170.0ms (1.5%)

Memory
23.9MiB live, 219.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im)
cost-diff0
#s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im))
cost-diff0
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im)))
cost-diff1344
(fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))))
cost-diff0
(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))
cost-diff0
(sin.f64 re)
cost-diff0
(*.f64 (sin.f64 re) im)
cost-diff0
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
cost-diff0
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
cost-diff0
(*.f64 #s(literal 1/2 binary64) re)
cost-diff0
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
cost-diff0
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
cost-diff0
(neg.f64 im)
cost-diff0
(*.f64 (neg.f64 im) re)
cost-diff0
#s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re))
cost-diff0
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))
cost-diff0
(sin.f64 re)
cost-diff0
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
cost-diff0
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
cost-diff128
(+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im) #s(literal -1/3 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062597
0103597
1203597
2507565
31727563
45670563
56778563
08036554
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
#s(literal 1/2 binary64)
(sin.f64 re)
re
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
(*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)
(fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64))
(+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im) #s(literal -1/3 binary64))
(*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im)
(*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im)
(fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))
(*.f64 im im)
im
#s(literal -1/2520 binary64)
#s(literal -1/60 binary64)
#s(literal -1/3 binary64)
#s(literal -2 binary64)
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))
#s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re))
(*.f64 (neg.f64 im) re)
(neg.f64 im)
im
re
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 #s(literal 1/2 binary64) re)
#s(literal 1/2 binary64)
re
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)
(fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64))
(fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64))
#s(literal -1/60 binary64)
(*.f64 im im)
im
#s(literal -1/3 binary64)
#s(literal -2 binary64)
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(*.f64 (*.f64 (sin.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))
(*.f64 (sin.f64 re) im)
(sin.f64 re)
re
im
(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))
(*.f64 im im)
#s(literal -1/6 binary64)
#s(literal -1 binary64)
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im)))
#s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im))
(*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im)
(fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))))
(pow.f64 im #s(literal 4 binary64))
im
#s(literal 4 binary64)
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)))
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(*.f64 re re)
re
#s(literal -1/12 binary64)
#s(literal 1/2 binary64)
(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))
#s(literal -1/2520 binary64)
(*.f64 im im)
#s(literal -1/60 binary64)
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))
(fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))
#s(literal -1/3 binary64)
#s(literal -2 binary64)
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (- (exp (neg im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 #s(literal -2 binary64) im))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(sin.f64 re)
re
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
#s(approx (- (exp (neg im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 #s(literal -2 binary64) im)))
(*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 #s(literal -2 binary64) im))
(fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64))
(+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im) #s(literal -1/3 binary64))
(fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64))
(*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im)
(*.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im))
(*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im)
(*.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) im)
(fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))
(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))
(*.f64 im im)
im
#s(literal -1/2520 binary64)
#s(literal -1/60 binary64)
#s(literal -1/3 binary64)
#s(literal -2 binary64)
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))
#s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re))
(*.f64 (neg.f64 im) re)
(neg.f64 im)
im
re
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))))
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
#s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) re)
(*.f64 re #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
re
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)
(fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64))
(fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64))
#s(literal -1/60 binary64)
(*.f64 im im)
im
#s(literal -1/3 binary64)
#s(literal -2 binary64)
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im)) (sin.f64 re)))
(*.f64 (*.f64 (sin.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im)) (sin.f64 re))
(*.f64 (sin.f64 re) im)
(*.f64 im (sin.f64 re))
(sin.f64 re)
re
im
(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal -1 binary64))
(*.f64 im im)
#s(literal -1/6 binary64)
#s(literal -1 binary64)
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) im) (fma.f64 (*.f64 #s(literal -1/3 binary64) im) im (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -2 binary64))))))
#s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im))
#s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) im) (fma.f64 (*.f64 #s(literal -1/3 binary64) im) im (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -2 binary64)))))
(*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im)
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) im) (fma.f64 (*.f64 #s(literal -1/3 binary64) im) im (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -2 binary64))))
(fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) im) im (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -2 binary64))) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re))
(pow.f64 im #s(literal 4 binary64))
im
#s(literal 4 binary64)
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)))
(*.f64 (*.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) re) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(*.f64 re re)
re
#s(literal -1/12 binary64)
#s(literal 1/2 binary64)
(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))
#s(literal -1/2520 binary64)
(*.f64 im im)
#s(literal -1/60 binary64)
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))
(*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) re) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))
#s(literal -1/3 binary64)
#s(literal -2 binary64)

localize353.0ms (3.2%)

Memory
-18.7MiB live, 298.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy4.5726483049676245
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)))
accuracy4.76665757145491
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))
accuracy8.441555278084818
(fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))))
accuracy23.605134234256802
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im)))
accuracy0.11328125
(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))
accuracy0.11328125
(*.f64 (sin.f64 re) im)
accuracy1.00251943226379
(*.f64 (*.f64 (sin.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))
accuracy15.136020533930147
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
accuracy0.0625
(fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64))
accuracy0.0625
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
accuracy6.312421310168253
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
accuracy30.00518918681821
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
accuracy0
(*.f64 (neg.f64 im) re)
accuracy0
(neg.f64 im)
accuracy29.830880881210938
#s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re))
accuracy31.548565655017732
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))
accuracy0.10546875
(*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im)
accuracy0.109375
(*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im)
accuracy0.28800533958636443
(fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))
accuracy5.077141979029446
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
Samples
134.0ms52×2valid
79.0ms134×0valid
58.0ms70×1valid
Compiler

Compiled 1 038 to 121 computations (88.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 231.0ms
ival-mult: 124.0ms (53.6% of total)
ival-add: 35.0ms (15.1% of total)
ival-exp: 22.0ms (9.5% of total)
const: 20.0ms (8.7% of total)
adjust: 14.0ms (6.1% of total)
ival-sin: 8.0ms (3.5% of total)
ival-pow: 3.0ms (1.3% of total)
ival-sub: 2.0ms (0.9% of total)
exact: 1.0ms (0.4% of total)
ival-neg: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series64.0ms (0.6%)

Memory
5.0MiB live, 42.1MiB allocated
Counts
27 → 122
Calls
Call 1
Inputs
(+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im) #s(literal -1/3 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
(sin.f64 re)
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))
#s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re))
(*.f64 (neg.f64 im) re)
(neg.f64 im)
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 #s(literal 1/2 binary64) re)
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(*.f64 (sin.f64 re) im)
(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))
(fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im)))
#s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im))
(*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im)
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
(fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))
(*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im)
(*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im)
(fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)))
Outputs
(* 1/2 (* re (- (exp (neg im)) (exp im))))
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im))))))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp im)))))))))
(* 1/2 re)
(* re (+ 1/2 (* -1/12 (pow re 2))))
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))
re
(* re (+ 1 (* -1/6 (pow re 2))))
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))
(* -1 (* im re))
(* re (+ (* -1 im) (* 1/6 (* im (pow re 2)))))
(* re (+ (* -1 im) (* (pow re 2) (+ (* -1/120 (* im (pow re 2))) (* 1/6 im)))))
(* re (+ (* -1 im) (* (pow re 2) (+ (* 1/6 im) (* (pow re 2) (+ (* -1/120 im) (* 1/5040 (* im (pow re 2)))))))))
(* im re)
(* re (+ im (* -1/6 (* im (pow re 2)))))
(* re (+ im (* (pow re 2) (+ (* -1/6 im) (* 1/120 (* im (pow re 2)))))))
(* re (+ im (* (pow re 2) (+ (* -1/6 im) (* (pow re 2) (+ (* -1/5040 (* im (pow re 2))) (* 1/120 im)))))))
(* re (+ (* 1/2 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (* 1/2 (- (* -1/3 (pow im 2)) 2))))
(* re (+ (* 1/2 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (+ (* 1/2 (- (* -1/3 (pow im 2)) 2)) (* (pow re 2) (+ (* -1/12 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (* -1/12 (- (* -1/3 (pow im 2)) 2)))))))
(* im (* re (+ (* 1/2 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (* 1/2 (- (* -1/3 (pow im 2)) 2)))))
(* re (+ (* im (* (pow re 2) (+ (* -1/12 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (* -1/12 (- (* -1/3 (pow im 2)) 2))))) (* im (+ (* 1/2 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (* 1/2 (- (* -1/3 (pow im 2)) 2))))))
(* im (* re (- (* -1/6 (pow im 2)) 1)))
(* re (+ (* -1/6 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))) (* im (- (* -1/6 (pow im 2)) 1))))
(* re (+ (* im (- (* -1/6 (pow im 2)) 1)) (* (pow re 2) (+ (* -1/6 (* im (- (* -1/6 (pow im 2)) 1))) (* 1/120 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1))))))))
(* re (+ (* im (- (* -1/6 (pow im 2)) 1)) (* (pow re 2) (+ (* -1/6 (* im (- (* -1/6 (pow im 2)) 1))) (* (pow re 2) (+ (* -1/5040 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))) (* 1/120 (* im (- (* -1/6 (pow im 2)) 1)))))))))
(* 1/2 (* re (- (* -1/3 (pow im 2)) 2)))
(* re (+ (* -1/12 (* (pow re 2) (- (* -1/3 (pow im 2)) 2))) (* 1/2 (- (* -1/3 (pow im 2)) 2))))
(* 1/2 (* re (- (* -1/2520 (pow im 2)) 1/60)))
(* re (+ (* -1/12 (* (pow re 2) (- (* -1/2520 (pow im 2)) 1/60))) (* 1/2 (- (* -1/2520 (pow im 2)) 1/60))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (sin re))
(sin re)
(* -1 (* im (sin re)))
(* im (sin re))
(* (pow re 3) (+ (* -1/12 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (* -1/12 (- (* -1/3 (pow im 2)) 2))))
(* (pow re 3) (+ (* -1/12 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (+ (* -1/12 (- (* -1/3 (pow im 2)) 2)) (+ (* 1/2 (/ (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60)) (pow re 2))) (* 1/2 (/ (- (* -1/3 (pow im 2)) 2) (pow re 2)))))))
(* -1/12 (* (pow re 3) (- (exp (neg im)) (exp im))))
(* (pow re 3) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/2 (/ (- (exp (neg im)) (exp im)) (pow re 2)))))
(* im (* (pow re 3) (+ (* -1/12 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (* -1/12 (- (* -1/3 (pow im 2)) 2)))))
(* (pow re 3) (+ (* im (+ (* -1/12 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (* -1/12 (- (* -1/3 (pow im 2)) 2)))) (/ (* im (+ (* 1/2 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (* 1/2 (- (* -1/3 (pow im 2)) 2)))) (pow re 2))))
(* im (* (sin re) (- (* -1/6 (pow im 2)) 1)))
(* -1/12 (* (pow re 3) (- (* -1/3 (pow im 2)) 2)))
(* (pow re 3) (+ (* -1/12 (- (* -1/3 (pow im 2)) 2)) (* 1/2 (/ (- (* -1/3 (pow im 2)) 2) (pow re 2)))))
(* -1/12 (* (pow re 3) (- (* -1/2520 (pow im 2)) 1/60)))
(* (pow re 3) (+ (* -1/12 (- (* -1/2520 (pow im 2)) 1/60)) (* 1/2 (/ (- (* -1/2520 (pow im 2)) 1/60) (pow re 2)))))
(* -1 (* (pow re 3) (+ (* 1/12 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (* 1/12 (- (* -1/3 (pow im 2)) 2)))))
(* -1 (* (pow re 3) (+ (* -1/2 (/ (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60)) (pow re 2))) (+ (* -1/2 (/ (- (* -1/3 (pow im 2)) 2) (pow re 2))) (+ (* 1/12 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (* 1/12 (- (* -1/3 (pow im 2)) 2)))))))
(* -1 (* (pow re 3) (+ (* -1/2 (/ (- (exp (neg im)) (exp im)) (pow re 2))) (* 1/12 (- (exp (neg im)) (exp im))))))
(* -1 (* im (* (pow re 3) (+ (* 1/12 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (* 1/12 (- (* -1/3 (pow im 2)) 2))))))
(* -1 (* (pow re 3) (+ (* im (+ (* 1/12 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (* 1/12 (- (* -1/3 (pow im 2)) 2)))) (/ (* im (+ (* -1/2 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (* -1/2 (- (* -1/3 (pow im 2)) 2)))) (pow re 2)))))
(* -1 (* (pow re 3) (+ (* -1/2 (/ (- (* -1/3 (pow im 2)) 2) (pow re 2))) (* 1/12 (- (* -1/3 (pow im 2)) 2)))))
(* -1 (* (pow re 3) (+ (* -1/2 (/ (- (* -1/2520 (pow im 2)) 1/60) (pow re 2))) (* 1/12 (- (* -1/2520 (pow im 2)) 1/60)))))
-1/3
(- (* -1/60 (pow im 2)) 1/3)
(- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)
(* im (+ (* -1 (sin re)) (* -1/6 (* (pow im 2) (sin re)))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* -1/120 (* (pow im 2) (sin re)))))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* (pow im 2) (+ (* -1/120 (sin re)) (* -1/5040 (* (pow im 2) (sin re)))))))))
(* -1 im)
(* -2 im)
(* im (- (* -1/3 (pow im 2)) 2))
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
-1
(- (* -1/6 (pow im 2)) 1)
(* -2 (* re (+ 1/2 (* -1/12 (pow re 2)))))
(+ (* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/3 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2)))))))
(+ (* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1/3 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/60 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2)))))))))
(+ (* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1/3 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1/60 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/2520 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2)))))))))))
(* -2 (* im (* re (+ 1/2 (* -1/12 (pow re 2))))))
(* im (+ (* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/3 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2))))))))
(* im (+ (* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1/3 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/60 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2))))))))))
(* im (+ (* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1/3 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1/60 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/2520 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2))))))))))))
-1/60
(- (* -1/2520 (pow im 2)) 1/60)
(* -1/60 im)
(* im (- (* -1/2520 (pow im 2)) 1/60))
(* -1/60 (pow im 2))
(* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60))
-2
(- (* -1/3 (pow im 2)) 2)
(- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2)
(* -1/60 (* re (+ 1/2 (* -1/12 (pow re 2)))))
(+ (* -1/60 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/2520 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2)))))))
(* -1/2520 (pow im 4))
(* -1 (* (pow im 4) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* (pow im 4) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(- (exp (neg im)) (exp im))
(* -1/6 (pow im 2))
(* -1 (* (pow im 2) (+ 1/6 (/ 1 (pow im 2)))))
(* -1/2520 (* (pow im 6) (* re (+ 1/2 (* -1/12 (pow re 2))))))
(* (pow im 6) (+ (* -1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* -1/2520 (* re (+ 1/2 (* -1/12 (pow re 2)))))))
(* (pow im 6) (+ (* -1/3 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 4))) (+ (* -1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* -1/2520 (* re (+ 1/2 (* -1/12 (pow re 2))))))))
(* (pow im 6) (+ (* -2 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 6))) (+ (* -1/3 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 4))) (+ (* -1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* -1/2520 (* re (+ 1/2 (* -1/12 (pow re 2)))))))))
(* re (* (+ 1/2 (* -1/12 (pow re 2))) (- (exp (neg im)) (exp im))))
(* -1/2520 (* (pow im 7) (* re (+ 1/2 (* -1/12 (pow re 2))))))
(* (pow im 7) (+ (* -1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* -1/2520 (* re (+ 1/2 (* -1/12 (pow re 2)))))))
(* (pow im 7) (+ (* -1/3 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 4))) (+ (* -1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* -1/2520 (* re (+ 1/2 (* -1/12 (pow re 2))))))))
(* (pow im 7) (+ (* -2 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 6))) (+ (* -1/3 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 4))) (+ (* -1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* -1/2520 (* re (+ 1/2 (* -1/12 (pow re 2)))))))))
(* -1/2520 (pow im 2))
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* -1/2520 (pow im 3))
(* -1 (* (pow im 3) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* -1/60 (pow im 4))
(* -1 (* (pow im 4) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(* (pow im 4) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow im 2)))) (pow im 2))) 1/60))
(* -1/6 (* (pow im 3) (sin re)))
(* (pow im 3) (+ (* -1 (/ (sin re) (pow im 2))) (* -1/6 (sin re))))
(* -1/3 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2))))))
(* (pow im 2) (+ (* -2 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* -1/3 (* re (+ 1/2 (* -1/12 (pow re 2)))))))
(* -1/2520 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2))))))
(* (pow im 2) (+ (* -1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* -1/2520 (* re (+ 1/2 (* -1/12 (pow re 2)))))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(- (exp (* -1 im)) (exp im))
(* re (* (+ 1/2 (* -1/12 (pow re 2))) (- (exp (* -1 im)) (exp im))))
(* -1 (* (pow im 7) (+ (* 1/2520 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* 1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))))))
(* -1 (* (pow im 7) (+ (* 1/2520 (* re (+ 1/2 (* -1/12 (pow re 2))))) (+ (* 1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* 1/3 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 4)))))))
(* -1 (* (pow im 7) (+ (* 1/2520 (* re (+ 1/2 (* -1/12 (pow re 2))))) (+ (* 1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (+ (* 1/3 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 4))) (* 2 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 6))))))))
(* -1 (* (pow im 3) (+ (* 1/6 (sin re)) (/ (sin re) (pow im 2)))))
Calls

6 calls:

TimeVariablePointExpression
36.0ms
im
@inf
((+ (* (* (+ (* (* im im) -1/2520) -1/60) im) im) -1/3) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg im) (sin re)) (* (neg im) re) (neg im) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* 1/2 re) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (sin re) im) (+ (* (* im im) -1/6) -1) (+ (* (pow im 4) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/2520 (* im im)) -1/60))) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/3 (* im im)) -2))) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (* (+ (* (pow im 4) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/2520 (* im im)) -1/60))) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/3 (* im im)) -2))) im) (- (exp (neg im)) (exp im)) (+ (* (* im im) -1/2520) -1/60) (* (+ (* (* im im) -1/2520) -1/60) im) (* (* (+ (* (* im im) -1/2520) -1/60) im) im) (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) (* (* (sin re) im) (+ (* (* im im) -1/6) -1)) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/3 (* im im)) -2)) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/2520 (* im im)) -1/60)))
6.0ms
re
@inf
((+ (* (* (+ (* (* im im) -1/2520) -1/60) im) im) -1/3) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg im) (sin re)) (* (neg im) re) (neg im) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* 1/2 re) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (sin re) im) (+ (* (* im im) -1/6) -1) (+ (* (pow im 4) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/2520 (* im im)) -1/60))) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/3 (* im im)) -2))) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (* (+ (* (pow im 4) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/2520 (* im im)) -1/60))) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/3 (* im im)) -2))) im) (- (exp (neg im)) (exp im)) (+ (* (* im im) -1/2520) -1/60) (* (+ (* (* im im) -1/2520) -1/60) im) (* (* (+ (* (* im im) -1/2520) -1/60) im) im) (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) (* (* (sin re) im) (+ (* (* im im) -1/6) -1)) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/3 (* im im)) -2)) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/2520 (* im im)) -1/60)))
5.0ms
re
@0
((+ (* (* (+ (* (* im im) -1/2520) -1/60) im) im) -1/3) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg im) (sin re)) (* (neg im) re) (neg im) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* 1/2 re) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (sin re) im) (+ (* (* im im) -1/6) -1) (+ (* (pow im 4) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/2520 (* im im)) -1/60))) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/3 (* im im)) -2))) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (* (+ (* (pow im 4) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/2520 (* im im)) -1/60))) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/3 (* im im)) -2))) im) (- (exp (neg im)) (exp im)) (+ (* (* im im) -1/2520) -1/60) (* (+ (* (* im im) -1/2520) -1/60) im) (* (* (+ (* (* im im) -1/2520) -1/60) im) im) (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) (* (* (sin re) im) (+ (* (* im im) -1/6) -1)) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/3 (* im im)) -2)) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/2520 (* im im)) -1/60)))
5.0ms
re
@-inf
((+ (* (* (+ (* (* im im) -1/2520) -1/60) im) im) -1/3) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg im) (sin re)) (* (neg im) re) (neg im) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* 1/2 re) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (sin re) im) (+ (* (* im im) -1/6) -1) (+ (* (pow im 4) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/2520 (* im im)) -1/60))) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/3 (* im im)) -2))) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (* (+ (* (pow im 4) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/2520 (* im im)) -1/60))) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/3 (* im im)) -2))) im) (- (exp (neg im)) (exp im)) (+ (* (* im im) -1/2520) -1/60) (* (+ (* (* im im) -1/2520) -1/60) im) (* (* (+ (* (* im im) -1/2520) -1/60) im) im) (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) (* (* (sin re) im) (+ (* (* im im) -1/6) -1)) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/3 (* im im)) -2)) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/2520 (* im im)) -1/60)))
5.0ms
im
@-inf
((+ (* (* (+ (* (* im im) -1/2520) -1/60) im) im) -1/3) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg im) (sin re)) (* (neg im) re) (neg im) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* 1/2 re) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (sin re) im) (+ (* (* im im) -1/6) -1) (+ (* (pow im 4) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/2520 (* im im)) -1/60))) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/3 (* im im)) -2))) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (* (+ (* (pow im 4) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/2520 (* im im)) -1/60))) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/3 (* im im)) -2))) im) (- (exp (neg im)) (exp im)) (+ (* (* im im) -1/2520) -1/60) (* (+ (* (* im im) -1/2520) -1/60) im) (* (* (+ (* (* im im) -1/2520) -1/60) im) im) (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) (* (* (sin re) im) (+ (* (* im im) -1/6) -1)) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/3 (* im im)) -2)) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/2520 (* im im)) -1/60)))

simplify464.0ms (4.2%)

Memory
-6.8MiB live, 213.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04022551
114092378
256552094
088071912
Stop Event
iter limit
node limit
Counts
122 → 121
Calls
Call 1
Inputs
(* 1/2 (* re (- (exp (neg im)) (exp im))))
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im))))))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp im)))))))))
(* 1/2 re)
(* re (+ 1/2 (* -1/12 (pow re 2))))
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))
re
(* re (+ 1 (* -1/6 (pow re 2))))
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))
(* -1 (* im re))
(* re (+ (* -1 im) (* 1/6 (* im (pow re 2)))))
(* re (+ (* -1 im) (* (pow re 2) (+ (* -1/120 (* im (pow re 2))) (* 1/6 im)))))
(* re (+ (* -1 im) (* (pow re 2) (+ (* 1/6 im) (* (pow re 2) (+ (* -1/120 im) (* 1/5040 (* im (pow re 2)))))))))
(* im re)
(* re (+ im (* -1/6 (* im (pow re 2)))))
(* re (+ im (* (pow re 2) (+ (* -1/6 im) (* 1/120 (* im (pow re 2)))))))
(* re (+ im (* (pow re 2) (+ (* -1/6 im) (* (pow re 2) (+ (* -1/5040 (* im (pow re 2))) (* 1/120 im)))))))
(* re (+ (* 1/2 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (* 1/2 (- (* -1/3 (pow im 2)) 2))))
(* re (+ (* 1/2 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (+ (* 1/2 (- (* -1/3 (pow im 2)) 2)) (* (pow re 2) (+ (* -1/12 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (* -1/12 (- (* -1/3 (pow im 2)) 2)))))))
(* im (* re (+ (* 1/2 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (* 1/2 (- (* -1/3 (pow im 2)) 2)))))
(* re (+ (* im (* (pow re 2) (+ (* -1/12 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (* -1/12 (- (* -1/3 (pow im 2)) 2))))) (* im (+ (* 1/2 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (* 1/2 (- (* -1/3 (pow im 2)) 2))))))
(* im (* re (- (* -1/6 (pow im 2)) 1)))
(* re (+ (* -1/6 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))) (* im (- (* -1/6 (pow im 2)) 1))))
(* re (+ (* im (- (* -1/6 (pow im 2)) 1)) (* (pow re 2) (+ (* -1/6 (* im (- (* -1/6 (pow im 2)) 1))) (* 1/120 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1))))))))
(* re (+ (* im (- (* -1/6 (pow im 2)) 1)) (* (pow re 2) (+ (* -1/6 (* im (- (* -1/6 (pow im 2)) 1))) (* (pow re 2) (+ (* -1/5040 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))) (* 1/120 (* im (- (* -1/6 (pow im 2)) 1)))))))))
(* 1/2 (* re (- (* -1/3 (pow im 2)) 2)))
(* re (+ (* -1/12 (* (pow re 2) (- (* -1/3 (pow im 2)) 2))) (* 1/2 (- (* -1/3 (pow im 2)) 2))))
(* 1/2 (* re (- (* -1/2520 (pow im 2)) 1/60)))
(* re (+ (* -1/12 (* (pow re 2) (- (* -1/2520 (pow im 2)) 1/60))) (* 1/2 (- (* -1/2520 (pow im 2)) 1/60))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (sin re))
(sin re)
(* -1 (* im (sin re)))
(* im (sin re))
(* (pow re 3) (+ (* -1/12 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (* -1/12 (- (* -1/3 (pow im 2)) 2))))
(* (pow re 3) (+ (* -1/12 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (+ (* -1/12 (- (* -1/3 (pow im 2)) 2)) (+ (* 1/2 (/ (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60)) (pow re 2))) (* 1/2 (/ (- (* -1/3 (pow im 2)) 2) (pow re 2)))))))
(* -1/12 (* (pow re 3) (- (exp (neg im)) (exp im))))
(* (pow re 3) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/2 (/ (- (exp (neg im)) (exp im)) (pow re 2)))))
(* im (* (pow re 3) (+ (* -1/12 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (* -1/12 (- (* -1/3 (pow im 2)) 2)))))
(* (pow re 3) (+ (* im (+ (* -1/12 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (* -1/12 (- (* -1/3 (pow im 2)) 2)))) (/ (* im (+ (* 1/2 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (* 1/2 (- (* -1/3 (pow im 2)) 2)))) (pow re 2))))
(* im (* (sin re) (- (* -1/6 (pow im 2)) 1)))
(* -1/12 (* (pow re 3) (- (* -1/3 (pow im 2)) 2)))
(* (pow re 3) (+ (* -1/12 (- (* -1/3 (pow im 2)) 2)) (* 1/2 (/ (- (* -1/3 (pow im 2)) 2) (pow re 2)))))
(* -1/12 (* (pow re 3) (- (* -1/2520 (pow im 2)) 1/60)))
(* (pow re 3) (+ (* -1/12 (- (* -1/2520 (pow im 2)) 1/60)) (* 1/2 (/ (- (* -1/2520 (pow im 2)) 1/60) (pow re 2)))))
(* -1 (* (pow re 3) (+ (* 1/12 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (* 1/12 (- (* -1/3 (pow im 2)) 2)))))
(* -1 (* (pow re 3) (+ (* -1/2 (/ (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60)) (pow re 2))) (+ (* -1/2 (/ (- (* -1/3 (pow im 2)) 2) (pow re 2))) (+ (* 1/12 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (* 1/12 (- (* -1/3 (pow im 2)) 2)))))))
(* -1 (* (pow re 3) (+ (* -1/2 (/ (- (exp (neg im)) (exp im)) (pow re 2))) (* 1/12 (- (exp (neg im)) (exp im))))))
(* -1 (* im (* (pow re 3) (+ (* 1/12 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (* 1/12 (- (* -1/3 (pow im 2)) 2))))))
(* -1 (* (pow re 3) (+ (* im (+ (* 1/12 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (* 1/12 (- (* -1/3 (pow im 2)) 2)))) (/ (* im (+ (* -1/2 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (* -1/2 (- (* -1/3 (pow im 2)) 2)))) (pow re 2)))))
(* -1 (* (pow re 3) (+ (* -1/2 (/ (- (* -1/3 (pow im 2)) 2) (pow re 2))) (* 1/12 (- (* -1/3 (pow im 2)) 2)))))
(* -1 (* (pow re 3) (+ (* -1/2 (/ (- (* -1/2520 (pow im 2)) 1/60) (pow re 2))) (* 1/12 (- (* -1/2520 (pow im 2)) 1/60)))))
-1/3
(- (* -1/60 (pow im 2)) 1/3)
(- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)
(* im (+ (* -1 (sin re)) (* -1/6 (* (pow im 2) (sin re)))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* -1/120 (* (pow im 2) (sin re)))))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* (pow im 2) (+ (* -1/120 (sin re)) (* -1/5040 (* (pow im 2) (sin re)))))))))
(* -1 im)
(* -2 im)
(* im (- (* -1/3 (pow im 2)) 2))
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
-1
(- (* -1/6 (pow im 2)) 1)
(* -2 (* re (+ 1/2 (* -1/12 (pow re 2)))))
(+ (* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/3 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2)))))))
(+ (* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1/3 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/60 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2)))))))))
(+ (* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1/3 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1/60 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/2520 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2)))))))))))
(* -2 (* im (* re (+ 1/2 (* -1/12 (pow re 2))))))
(* im (+ (* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/3 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2))))))))
(* im (+ (* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1/3 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/60 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2))))))))))
(* im (+ (* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1/3 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1/60 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/2520 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2))))))))))))
-1/60
(- (* -1/2520 (pow im 2)) 1/60)
(* -1/60 im)
(* im (- (* -1/2520 (pow im 2)) 1/60))
(* -1/60 (pow im 2))
(* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60))
-2
(- (* -1/3 (pow im 2)) 2)
(- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2)
(* -1/60 (* re (+ 1/2 (* -1/12 (pow re 2)))))
(+ (* -1/60 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/2520 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2)))))))
(* -1/2520 (pow im 4))
(* -1 (* (pow im 4) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* (pow im 4) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(- (exp (neg im)) (exp im))
(* -1/6 (pow im 2))
(* -1 (* (pow im 2) (+ 1/6 (/ 1 (pow im 2)))))
(* -1/2520 (* (pow im 6) (* re (+ 1/2 (* -1/12 (pow re 2))))))
(* (pow im 6) (+ (* -1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* -1/2520 (* re (+ 1/2 (* -1/12 (pow re 2)))))))
(* (pow im 6) (+ (* -1/3 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 4))) (+ (* -1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* -1/2520 (* re (+ 1/2 (* -1/12 (pow re 2))))))))
(* (pow im 6) (+ (* -2 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 6))) (+ (* -1/3 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 4))) (+ (* -1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* -1/2520 (* re (+ 1/2 (* -1/12 (pow re 2)))))))))
(* re (* (+ 1/2 (* -1/12 (pow re 2))) (- (exp (neg im)) (exp im))))
(* -1/2520 (* (pow im 7) (* re (+ 1/2 (* -1/12 (pow re 2))))))
(* (pow im 7) (+ (* -1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* -1/2520 (* re (+ 1/2 (* -1/12 (pow re 2)))))))
(* (pow im 7) (+ (* -1/3 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 4))) (+ (* -1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* -1/2520 (* re (+ 1/2 (* -1/12 (pow re 2))))))))
(* (pow im 7) (+ (* -2 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 6))) (+ (* -1/3 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 4))) (+ (* -1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* -1/2520 (* re (+ 1/2 (* -1/12 (pow re 2)))))))))
(* -1/2520 (pow im 2))
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* -1/2520 (pow im 3))
(* -1 (* (pow im 3) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* -1/60 (pow im 4))
(* -1 (* (pow im 4) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(* (pow im 4) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow im 2)))) (pow im 2))) 1/60))
(* -1/6 (* (pow im 3) (sin re)))
(* (pow im 3) (+ (* -1 (/ (sin re) (pow im 2))) (* -1/6 (sin re))))
(* -1/3 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2))))))
(* (pow im 2) (+ (* -2 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* -1/3 (* re (+ 1/2 (* -1/12 (pow re 2)))))))
(* -1/2520 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2))))))
(* (pow im 2) (+ (* -1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* -1/2520 (* re (+ 1/2 (* -1/12 (pow re 2)))))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(- (exp (* -1 im)) (exp im))
(* re (* (+ 1/2 (* -1/12 (pow re 2))) (- (exp (* -1 im)) (exp im))))
(* -1 (* (pow im 7) (+ (* 1/2520 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* 1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))))))
(* -1 (* (pow im 7) (+ (* 1/2520 (* re (+ 1/2 (* -1/12 (pow re 2))))) (+ (* 1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* 1/3 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 4)))))))
(* -1 (* (pow im 7) (+ (* 1/2520 (* re (+ 1/2 (* -1/12 (pow re 2))))) (+ (* 1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (+ (* 1/3 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 4))) (* 2 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 6))))))))
(* -1 (* (pow im 3) (+ (* 1/6 (sin re)) (/ (sin re) (pow im 2)))))
Outputs
(* 1/2 (* re (- (exp (neg im)) (exp im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))))
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im))))))))
(*.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (+.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 re re) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))))) re)
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp im)))))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64))))) re)
(* 1/2 re)
(*.f64 #s(literal 1/2 binary64) re)
(* re (+ 1/2 (* -1/12 (pow re 2))))
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)
re
(* re (+ 1 (* -1/6 (pow re 2))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re)
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re)
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal -1/6 binary64)) re)
(* -1 (* im re))
(*.f64 (neg.f64 im) re)
(* re (+ (* -1 im) (* 1/6 (* im (pow re 2)))))
(*.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re)
(* re (+ (* -1 im) (* (pow re 2) (+ (* -1/120 (* im (pow re 2))) (* 1/6 im)))))
(*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re)
(* re (+ (* -1 im) (* (pow re 2) (+ (* 1/6 im) (* (pow re 2) (+ (* -1/120 im) (* 1/5040 (* im (pow re 2)))))))))
(*.f64 (fma.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64)) (*.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 im (fma.f64 #s(literal 1/5040 binary64) (*.f64 re re) #s(literal -1/120 binary64))))) re)
(* im re)
(*.f64 re im)
(* re (+ im (* -1/6 (* im (pow re 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) im) re)
(* re (+ im (* (pow re 2) (+ (* -1/6 im) (* 1/120 (* im (pow re 2)))))))
(*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64))) (*.f64 re re) im) re)
(* re (+ im (* (pow re 2) (+ (* -1/6 im) (* (pow re 2) (+ (* -1/5040 (* im (pow re 2))) (* 1/120 im)))))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 im (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64))) re) re (*.f64 #s(literal -1/6 binary64) im)) (*.f64 re im))
(* re (+ (* 1/2 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (* 1/2 (- (* -1/3 (pow im 2)) 2))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) #s(literal 1/2 binary64)) re)
(* re (+ (* 1/2 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (+ (* 1/2 (- (* -1/3 (pow im 2)) 2)) (* (pow re 2) (+ (* -1/12 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (* -1/12 (- (* -1/3 (pow im 2)) 2)))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re))
(* im (* re (+ (* 1/2 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (* 1/2 (- (* -1/3 (pow im 2)) 2)))))
(*.f64 (*.f64 (*.f64 re im) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))))
(* re (+ (* im (* (pow re 2) (+ (* -1/12 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (* -1/12 (- (* -1/3 (pow im 2)) 2))))) (* im (+ (* 1/2 (* (pow im 4) (- (* -1/2520 (pow im 2)) 1/60))) (* 1/2 (- (* -1/3 (pow im 2)) 2))))))
(*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) im) re)
(* im (* re (- (* -1/6 (pow im 2)) 1)))
(*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im)) re)
(* re (+ (* -1/6 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))) (* im (- (* -1/6 (pow im 2)) 1))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im))) re)
(* re (+ (* im (- (* -1/6 (pow im 2)) 1)) (* (pow re 2) (+ (* -1/6 (* im (- (* -1/6 (pow im 2)) 1))) (* 1/120 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1))))))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64))) (*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im)) re))
(* re (+ (* im (- (* -1/6 (pow im 2)) 1)) (* (pow re 2) (+ (* -1/6 (* im (- (* -1/6 (pow im 2)) 1))) (* (pow re 2) (+ (* -1/5040 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))) (* 1/120 (* im (- (* -1/6 (pow im 2)) 1)))))))))
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(* (pow im 6) (+ (* -1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* -1/2520 (* re (+ 1/2 (* -1/12 (pow re 2)))))))
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(* (pow im 6) (+ (* -1/3 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 4))) (+ (* -1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* -1/2520 (* re (+ 1/2 (* -1/12 (pow re 2))))))))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (+.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/2520 binary64)) (*.f64 (/.f64 (*.f64 #s(literal -1/60 binary64) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) im) (/.f64 re im))) (pow.f64 im #s(literal 6 binary64)))
(* (pow im 6) (+ (* -2 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 6))) (+ (* -1/3 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 4))) (+ (* -1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* -1/2520 (* re (+ 1/2 (* -1/12 (pow re 2)))))))))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (+.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal -1/60 binary64) (*.f64 im im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (+.f64 #s(literal -1/2520 binary64) (/.f64 #s(literal -2 binary64) (pow.f64 im #s(literal 6 binary64)))))) (pow.f64 im #s(literal 6 binary64)))
(* re (* (+ 1/2 (* -1/12 (pow re 2))) (- (exp (neg im)) (exp im))))
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* -1/2520 (* (pow im 7) (* re (+ 1/2 (* -1/12 (pow re 2))))))
(*.f64 (*.f64 (*.f64 (pow.f64 im #s(literal 7 binary64)) #s(literal -1/2520 binary64)) re) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(* (pow im 7) (+ (* -1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* -1/2520 (* re (+ 1/2 (* -1/12 (pow re 2)))))))
(*.f64 (pow.f64 im #s(literal 7 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (+.f64 #s(literal -1/2520 binary64) (/.f64 #s(literal -1/60 binary64) (*.f64 im im)))))
(* (pow im 7) (+ (* -1/3 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 4))) (+ (* -1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* -1/2520 (* re (+ 1/2 (* -1/12 (pow re 2))))))))
(*.f64 (pow.f64 im #s(literal 7 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (+.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/2520 binary64)) (*.f64 (/.f64 (*.f64 #s(literal -1/60 binary64) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) im) (/.f64 re im))))
(* (pow im 7) (+ (* -2 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 6))) (+ (* -1/3 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 4))) (+ (* -1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* -1/2520 (* re (+ 1/2 (* -1/12 (pow re 2)))))))))
(*.f64 (pow.f64 im #s(literal 7 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (+.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal -1/60 binary64) (*.f64 im im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (+.f64 #s(literal -1/2520 binary64) (/.f64 #s(literal -2 binary64) (pow.f64 im #s(literal 6 binary64)))))))
(* -1/2520 (pow im 2))
(*.f64 (*.f64 im im) #s(literal -1/2520 binary64))
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))
(* -1/2520 (pow im 3))
(*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/2520 binary64))
(* -1 (* (pow im 3) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im)
(* -1/60 (pow im 4))
(*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 4 binary64)))
(* -1 (* (pow im 4) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 im im)) #s(literal -1 binary64) #s(literal -1/60 binary64)) (pow.f64 im #s(literal 4 binary64)))
(* (pow im 4) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow im 2)))) (pow im 2))) 1/60))
(*.f64 (-.f64 #s(literal -1/60 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im)) (pow.f64 im #s(literal 4 binary64)))
(* -1/6 (* (pow im 3) (sin re)))
(*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) (sin.f64 re))
(* (pow im 3) (+ (* -1 (/ (sin re) (pow im 2))) (* -1/6 (sin re))))
(*.f64 (*.f64 (sin.f64 re) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 im im)) #s(literal -1/6 binary64))) (pow.f64 im #s(literal 3 binary64)))
(* -1/3 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2))))))
(*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 im im) re)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(* (pow im 2) (+ (* -2 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* -1/3 (* re (+ 1/2 (* -1/12 (pow re 2)))))))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 im im)) #s(literal -1/3 binary64))) (*.f64 im im))
(* -1/2520 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2))))))
(*.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) im) im)
(* (pow im 2) (+ (* -1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* -1/2520 (* re (+ 1/2 (* -1/12 (pow re 2)))))))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (+.f64 #s(literal -1/2520 binary64) (/.f64 #s(literal -1/60 binary64) (*.f64 im im)))) (*.f64 im im))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* re (* (+ 1/2 (* -1/12 (pow re 2))) (- (exp (* -1 im)) (exp im))))
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* -1 (* (pow im 7) (+ (* 1/2520 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* 1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))))))
(*.f64 (pow.f64 im #s(literal 7 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (+.f64 #s(literal -1/2520 binary64) (/.f64 #s(literal -1/60 binary64) (*.f64 im im)))))
(* -1 (* (pow im 7) (+ (* 1/2520 (* re (+ 1/2 (* -1/12 (pow re 2))))) (+ (* 1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* 1/3 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 4)))))))
(fma.f64 (pow.f64 im #s(literal 7 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (+.f64 #s(literal -1/2520 binary64) (/.f64 #s(literal -1/60 binary64) (*.f64 im im)))) (*.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) (pow.f64 im #s(literal 4 binary64))) (neg.f64 (pow.f64 im #s(literal 7 binary64)))))
(* -1 (* (pow im 7) (+ (* 1/2520 (* re (+ 1/2 (* -1/12 (pow re 2))))) (+ (* 1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (+ (* 1/3 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 4))) (* 2 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 6))))))))
(fma.f64 (pow.f64 im #s(literal 7 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (+.f64 #s(literal -1/2520 binary64) (/.f64 #s(literal -1/60 binary64) (*.f64 im im)))) (*.f64 (*.f64 re (fma.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (pow.f64 im #s(literal 6 binary64))) #s(literal 2 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/3 binary64)))) (neg.f64 (pow.f64 im #s(literal 7 binary64)))))
(* -1 (* (pow im 3) (+ (* 1/6 (sin re)) (/ (sin re) (pow im 2)))))
(*.f64 (*.f64 (sin.f64 re) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 im im)) #s(literal -1/6 binary64))) (pow.f64 im #s(literal 3 binary64)))

rewrite264.0ms (2.4%)

Memory
12.6MiB live, 245.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062468
0103468
1346468
22283468
08302465
Stop Event
iter limit
node limit
iter limit
Counts
27 → 435
Calls
Call 1
Inputs
(+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im) #s(literal -1/3 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
(sin.f64 re)
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))
#s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re))
(*.f64 (neg.f64 im) re)
(neg.f64 im)
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 #s(literal 1/2 binary64) re)
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(*.f64 (sin.f64 re) im)
(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))
(fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im)))
#s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im))
(*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im)
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
(fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))
(*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im)
(*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im)
(fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)))
Outputs
(*.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/9 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal 1/3 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) #s(literal 3 binary64)) #s(literal -1/27 binary64)) (pow.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64)) (*.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 im im)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal 1/3 binary64)) (fma.f64 (pow.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/9 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64)) (*.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 im im)))) (fma.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) #s(literal 3 binary64)) #s(literal -1/27 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal 1/3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal 1/3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal 1/3 binary64))) (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal 1/3 binary64))) (fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal 1/3 binary64))) (*.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal 1/3 binary64)))))))
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(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/3600 binary64)))) (neg.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal 1/60 binary64))))
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(/.f64 (*.f64 (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/3600 binary64)) (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re)) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal 1/60 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal -1/16003008000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216000 binary64)) (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re)) (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 im im) #s(literal 1/151200 binary64)))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/144 binary64) (pow.f64 re #s(literal 4 binary64)) #s(literal -1/4 binary64)) (*.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) re)) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal -1/2 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal -1/1728 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal 1/8 binary64)) (*.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) re)) (fma.f64 #s(literal 1/144 binary64) (pow.f64 re #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/24 binary64)))))
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/3600 binary64))) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal 1/60 binary64)))
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/16003008000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216000 binary64))) (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 im im) #s(literal 1/151200 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/2520 binary64)) (*.f64 im im)) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/2520 binary64)) (*.f64 im im)) (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/2520 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) (*.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal 3 binary64)) #s(literal -1/216000 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/2520 binary64)) (*.f64 im im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/2520 binary64)) (*.f64 im im)) (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64))))))
(fma.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64)))
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) (*.f64 #s(literal -1/2520 binary64) im)) im (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64)))
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/2520 binary64)) (*.f64 im im) (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64)))
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) (*.f64 im im)) #s(literal -1/2520 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64)))
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) im) (*.f64 #s(literal -1/2520 binary64) im) (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64)))
(fma.f64 (*.f64 #s(literal -1/60 binary64) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/2520 binary64)) (*.f64 im im)))
(fma.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) re) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64)))
(fma.f64 (*.f64 #s(literal -1/60 binary64) re) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/2520 binary64)) (*.f64 im im)))
(fma.f64 (*.f64 #s(literal -1/2520 binary64) im) (*.f64 im (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re)) (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64)))
(fma.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64)))
(fma.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64)))
(fma.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/2520 binary64)) (*.f64 im im)))
(fma.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 re (*.f64 #s(literal -1/2520 binary64) (*.f64 im im))) (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64)))
(fma.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 re #s(literal -1/60 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/2520 binary64)) (*.f64 im im)))
(fma.f64 re (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) #s(literal -1/60 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/2520 binary64)) (*.f64 im im)))
(fma.f64 re (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2520 binary64) (*.f64 im im))) (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64)))
(fma.f64 #s(literal -1/60 binary64) (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/2520 binary64)) (*.f64 im im)))
(fma.f64 #s(literal -1/2520 binary64) (*.f64 (*.f64 im im) (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re)) (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64)))
(fma.f64 (*.f64 im im) (*.f64 #s(literal -1/2520 binary64) (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re)) (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64)))
(fma.f64 im (*.f64 (*.f64 #s(literal -1/2520 binary64) im) (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re)) (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/2520 binary64)) (*.f64 im im)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/2520 binary64)) (*.f64 im im)) (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/2520 binary64)) (*.f64 im im)) (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64)))))
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/2520 binary64)) (*.f64 im im)))
(+.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/2520 binary64)) (*.f64 im im)) (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64)))

eval217.0ms (1.9%)

Memory
-7.4MiB live, 74.2MiB allocated
Compiler

Compiled 35 156 to 3 150 computations (91% saved)

prune57.0ms (0.5%)

Memory
11.4MiB live, 50.5MiB allocated
Pruning

30 alts after pruning (23 fresh and 7 done)

PrunedKeptTotal
New53313546
Fresh31013
Picked325
Done055
Total53930569
Accuracy
99.9%
Counts
569 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.2%
(fma.f64 (exp.f64 (neg.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (*.f64 (neg.f64 (exp.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))))
12.8%
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
63.6%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
91.9%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
90.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
58.6%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
57.5%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
52.2%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
58.6%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
57.8%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
58.6%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
57.8%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) im) im #s(literal -2 binary64)) im)))
52.6%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
27.7%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 im (sin.f64 re)) (*.f64 im (sin.f64 re)))) (+.f64 #s(literal 0 binary64) (*.f64 im (sin.f64 re)))))
82.8%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im)) (sin.f64 re)))
53.9%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 im (neg.f64 (*.f64 im im)))) (sin.f64 re)))
51.0%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) re))
77.7%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal -1 binary64)) (sin.f64 re)) im))
50.6%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re)))
33.0%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im)) re))
53.4%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re))
47.5%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
57.7%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) re) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) re) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)))) im)))
57.6%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) (*.f64 #s(literal -1/2520 binary64) im)) im (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im)))
57.3%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) re) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))) (*.f64 im im)) (*.f64 im im) (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) re) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)))) im)))
50.7%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) im) (+ (* (* im im) -1/6) -1)) (*.f64 (*.f64 (sin.f64 re) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 im im)) #s(literal -1/6 binary64))) (pow.f64 im #s(literal 3 binary64)))))
34.4%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re)))
42.4%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 im im)) (+.f64 #s(literal 0 binary64) im)) re)))
29.7%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))
52.0%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (log.f64 (exp.f64 (neg.f64 im))) re)))
Compiler

Compiled 1 762 to 1 172 computations (33.5% saved)

simplify175.0ms (1.6%)

Memory
1.2MiB live, 120.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) (*.f64 #s(literal -1/2520 binary64) im)) im (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im))
cost-diff0
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) (*.f64 #s(literal -1/2520 binary64) im)) im (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im)))
cost-diff1344
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) (*.f64 #s(literal -1/2520 binary64) im)) im (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64)))
cost-diff1344
(fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) (*.f64 #s(literal -1/2520 binary64) im)) im (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))))
cost-diff0
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
cost-diff0
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)
cost-diff0
#s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re))
cost-diff0
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
cost-diff0
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)
cost-diff0
#s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im))
cost-diff0
(*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re)
cost-diff0
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re))
cost-diff0
(*.f64 re im)
cost-diff0
#s(approx (* (sin re) im) (*.f64 re im))
cost-diff0
(*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))
cost-diff0
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
cost-diff0
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
cost-diff0
(sin.f64 re)
cost-diff0
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
cost-diff0
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066840
0113840
1232795
2532795
31920763
46381763
57045763
08193759
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
#s(literal 1/2 binary64)
(sin.f64 re)
re
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64))
(fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64))
(*.f64 #s(literal -1/2520 binary64) im)
#s(literal -1/2520 binary64)
im
#s(literal -1/60 binary64)
(*.f64 im im)
#s(literal -1/3 binary64)
#s(literal -2 binary64)
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))
#s(approx (* (sin re) im) (*.f64 re im))
(*.f64 re im)
re
im
(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))
(*.f64 im im)
#s(literal -1/6 binary64)
#s(literal -1 binary64)
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re))
(*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re)
#s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im))
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(*.f64 re re)
re
#s(literal -1/12 binary64)
#s(literal 1/2 binary64)
(fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))
#s(literal -1/3 binary64)
(*.f64 im im)
im
#s(literal -2 binary64)
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re))
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(*.f64 re re)
re
#s(literal -1/12 binary64)
#s(literal 1/2 binary64)
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64))
(fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64))
(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))
#s(literal -1/2520 binary64)
(*.f64 im im)
im
#s(literal -1/60 binary64)
#s(literal -1/3 binary64)
#s(literal -2 binary64)
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) (*.f64 #s(literal -1/2520 binary64) im)) im (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im)))
#s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) (*.f64 #s(literal -1/2520 binary64) im)) im (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im))
(*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) (*.f64 #s(literal -1/2520 binary64) im)) im (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im)
(fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) (*.f64 #s(literal -1/2520 binary64) im)) im (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))))
(pow.f64 im #s(literal 4 binary64))
im
#s(literal 4 binary64)
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) (*.f64 #s(literal -1/2520 binary64) im)) im (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64)))
(*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) (*.f64 #s(literal -1/2520 binary64) im))
(*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re)
(fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))
#s(literal -1/12 binary64)
(*.f64 re re)
re
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/2520 binary64) im)
#s(literal -1/2520 binary64)
(*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64))
#s(literal -1/60 binary64)
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))
#s(literal -1/3 binary64)
(*.f64 im im)
#s(literal -2 binary64)
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(sin.f64 re)
re
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64))
(fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64))
(fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64))
(fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64))
(fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))
(*.f64 #s(literal -1/2520 binary64) im)
#s(literal -1/2520 binary64)
im
#s(literal -1/60 binary64)
(*.f64 im im)
#s(literal -1/3 binary64)
#s(literal -2 binary64)
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) #s(approx (* (sin re) im) (*.f64 im re))))
(*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) #s(approx (* (sin re) im) (*.f64 im re)))
#s(approx (* (sin re) im) (*.f64 re im))
#s(approx (* (sin re) im) (*.f64 im re))
(*.f64 re im)
(*.f64 im re)
re
im
(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))
(*.f64 im im)
#s(literal -1/6 binary64)
#s(literal -1 binary64)
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) im) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) re))
(*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re)
(*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) im) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) re)
#s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im))
#s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) im) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))))
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) im) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))
(*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(*.f64 re re)
re
#s(literal -1/12 binary64)
#s(literal 1/2 binary64)
(fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))
#s(literal -1/3 binary64)
(*.f64 im im)
im
#s(literal -2 binary64)
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re))
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(*.f64 re re)
re
#s(literal -1/12 binary64)
#s(literal 1/2 binary64)
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64))
(fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64))
(fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64))
(fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64))
(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))
(fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))
#s(literal -1/2520 binary64)
(*.f64 im im)
im
#s(literal -1/60 binary64)
#s(literal -1/3 binary64)
#s(literal -2 binary64)
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) (*.f64 #s(literal -1/2520 binary64) im)) im (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im)))
#s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) (*.f64 #s(literal -1/2520 binary64) im)) im (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im))
#s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im))
(*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) (*.f64 #s(literal -1/2520 binary64) im)) im (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im)
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im)
(fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) (*.f64 #s(literal -1/2520 binary64) im)) im (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))))
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))))
(pow.f64 im #s(literal 4 binary64))
im
#s(literal 4 binary64)
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) (*.f64 #s(literal -1/2520 binary64) im)) im (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64)))
(*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) re) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) (*.f64 #s(literal -1/2520 binary64) im))
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal -1/2520 binary64)) (*.f64 im re))
(*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re)
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)
(fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
#s(literal -1/12 binary64)
(*.f64 re re)
re
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/2520 binary64) im)
#s(literal -1/2520 binary64)
(*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64))
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64))
#s(literal -1/60 binary64)
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))
(*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) re) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))
#s(literal -1/3 binary64)
(*.f64 im im)
#s(literal -2 binary64)

localize490.0ms (4.4%)

Memory
-16.2MiB live, 343.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy3.7202169971050645
#s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) (*.f64 #s(literal -1/2520 binary64) im)) im (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im))
accuracy4.76665757145491
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))
accuracy8.441555278084818
(fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) (*.f64 #s(literal -1/2520 binary64) im)) im (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))))
accuracy23.605134234256802
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) (*.f64 #s(literal -1/2520 binary64) im)) im (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im)))
accuracy0.0625
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
accuracy0.28800533958636443
(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))
accuracy5.077141979029446
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
accuracy30.058132775447685
#s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re))
accuracy0.11328125
(fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))
accuracy5.9210905680049635
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)
accuracy7.0178448765292645
#s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im))
accuracy23.605134234256802
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re))
accuracy0.11328125
(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))
accuracy1.00251943226379
(*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))
accuracy15.136020533930147
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
accuracy29.830880881210938
#s(approx (* (sin re) im) (*.f64 re im))
accuracy0.05078125
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64))
accuracy0.0625
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
accuracy0.078125
(fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64))
accuracy5.077141979029446
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
Samples
201.0ms134×0valid
96.0ms70×1valid
77.0ms52×2valid
Compiler

Compiled 1 452 to 131 computations (91% saved)

Precisions
Click to see histograms. Total time spent on operations: 285.0ms
ival-mult: 86.0ms (30.2% of total)
ival-sin: 52.0ms (18.2% of total)
ival-neg: 45.0ms (15.8% of total)
const: 38.0ms (13.3% of total)
ival-exp: 23.0ms (8.1% of total)
ival-add: 18.0ms (6.3% of total)
adjust: 17.0ms (6% of total)
ival-pow: 3.0ms (1.1% of total)
ival-sub: 2.0ms (0.7% of total)
exact: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series59.0ms (0.5%)

Memory
4.1MiB live, 41.3MiB allocated
Counts
27 → 121
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
(sin.f64 re)
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))
#s(approx (* (sin re) im) (*.f64 re im))
(*.f64 re im)
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re))
(*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re)
#s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im))
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re))
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) (*.f64 #s(literal -1/2520 binary64) im)) im (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))))
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) (*.f64 #s(literal -1/2520 binary64) im)) im (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) (*.f64 #s(literal -1/2520 binary64) im)) im (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im)))
#s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) (*.f64 #s(literal -1/2520 binary64) im)) im (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im))
(fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64))
(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))
Outputs
(* 1/2 (* re (- (exp (neg im)) (exp im))))
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im))))))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp im)))))))))
(* 1/2 re)
(* re (+ 1/2 (* -1/12 (pow re 2))))
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))
re
(* re (+ 1 (* -1/6 (pow re 2))))
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))
(* im (* re (- (* -1/6 (pow im 2)) 1)))
(* re (+ (* -1/6 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))) (* im (- (* -1/6 (pow im 2)) 1))))
(* re (+ (* im (- (* -1/6 (pow im 2)) 1)) (* (pow re 2) (+ (* -1/6 (* im (- (* -1/6 (pow im 2)) 1))) (* 1/120 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1))))))))
(* re (+ (* im (- (* -1/6 (pow im 2)) 1)) (* (pow re 2) (+ (* -1/6 (* im (- (* -1/6 (pow im 2)) 1))) (* (pow re 2) (+ (* -1/5040 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))) (* 1/120 (* im (- (* -1/6 (pow im 2)) 1)))))))))
(* im re)
(* re (+ im (* -1/6 (* im (pow re 2)))))
(* re (+ im (* (pow re 2) (+ (* -1/6 im) (* 1/120 (* im (pow re 2)))))))
(* re (+ im (* (pow re 2) (+ (* -1/6 im) (* (pow re 2) (+ (* -1/5040 (* im (pow re 2))) (* 1/120 im)))))))
(* 1/2 (- (exp (neg im)) (exp im)))
(+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))
(* 1/2 (* im (- (* -1/3 (pow im 2)) 2)))
(+ (* -1/12 (* im (* (pow re 2) (- (* -1/3 (pow im 2)) 2)))) (* 1/2 (* im (- (* -1/3 (pow im 2)) 2))))
1/2
(+ 1/2 (* -1/12 (pow re 2)))
(* re (+ (* 1/2 (- (* -1/3 (pow im 2)) 2)) (* (pow im 4) (- (* -1/5040 (pow im 2)) 1/120))))
(* re (+ (* 1/2 (- (* -1/3 (pow im 2)) 2)) (+ (* (pow im 4) (- (* -1/5040 (pow im 2)) 1/120)) (* (pow re 2) (+ (* -1/12 (- (* -1/3 (pow im 2)) 2)) (* (pow im 4) (+ 1/720 (* 1/30240 (pow im 2)))))))))
(* re (- (* -1/5040 (pow im 2)) 1/120))
(* re (- (+ (* -1/5040 (pow im 2)) (* (pow re 2) (+ 1/720 (* 1/30240 (pow im 2))))) 1/120))
(* 1/2 (* re (- (* -1/3 (pow im 2)) 2)))
(* re (+ (* -1/12 (* (pow re 2) (- (* -1/3 (pow im 2)) 2))) (* 1/2 (- (* -1/3 (pow im 2)) 2))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (sin re))
(sin re)
(* im (* (sin re) (- (* -1/6 (pow im 2)) 1)))
(* im (sin re))
(* -1/12 (* (pow re 3) (- (exp (neg im)) (exp im))))
(* (pow re 3) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/2 (/ (- (exp (neg im)) (exp im)) (pow re 2)))))
(* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im))))
(* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/2 (/ (- (exp (neg im)) (exp im)) (pow re 2)))))
(* -1/12 (* im (* (pow re 2) (- (* -1/3 (pow im 2)) 2))))
(* (pow re 2) (+ (* -1/12 (* im (- (* -1/3 (pow im 2)) 2))) (* 1/2 (/ (* im (- (* -1/3 (pow im 2)) 2)) (pow re 2)))))
(* -1/12 (pow re 3))
(* (pow re 3) (- (* 1/2 (/ 1 (pow re 2))) 1/12))
(* -1/12 (pow re 2))
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/12))
(* (pow re 3) (+ (* -1/12 (- (* -1/3 (pow im 2)) 2)) (* (pow im 4) (+ 1/720 (* 1/30240 (pow im 2))))))
(* (pow re 3) (+ (* -1/12 (- (* -1/3 (pow im 2)) 2)) (+ (* 1/2 (/ (- (* -1/3 (pow im 2)) 2) (pow re 2))) (+ (* (pow im 4) (+ 1/720 (* 1/30240 (pow im 2)))) (/ (* (pow im 4) (- (* -1/5040 (pow im 2)) 1/120)) (pow re 2))))))
(* (pow re 3) (+ 1/720 (* 1/30240 (pow im 2))))
(* (pow re 3) (- (+ 1/720 (+ (* -1/5040 (/ (pow im 2) (pow re 2))) (* 1/30240 (pow im 2)))) (* 1/120 (/ 1 (pow re 2)))))
(* -1/12 (* (pow re 3) (- (* -1/3 (pow im 2)) 2)))
(* (pow re 3) (+ (* -1/12 (- (* -1/3 (pow im 2)) 2)) (* 1/2 (/ (- (* -1/3 (pow im 2)) 2) (pow re 2)))))
(* -1 (* (pow re 3) (+ (* -1/2 (/ (- (exp (neg im)) (exp im)) (pow re 2))) (* 1/12 (- (exp (neg im)) (exp im))))))
(* -1 (* (pow re 3) (- 1/12 (* 1/2 (/ 1 (pow re 2))))))
(* -1 (* (pow re 3) (+ (* 1/12 (- (* -1/3 (pow im 2)) 2)) (* (pow im 4) (- (* -1/30240 (pow im 2)) 1/720)))))
(* -1 (* (pow re 3) (+ (* -1/2 (/ (- (* -1/3 (pow im 2)) 2) (pow re 2))) (+ (* 1/12 (- (* -1/3 (pow im 2)) 2)) (+ (* (pow im 4) (- (* -1/30240 (pow im 2)) 1/720)) (/ (* (pow im 4) (+ 1/120 (* 1/5040 (pow im 2)))) (pow re 2)))))))
(* -1 (* (pow re 3) (- (* -1/30240 (pow im 2)) 1/720)))
(* -1 (* (pow re 3) (- (+ (* -1/30240 (pow im 2)) (+ (* 1/5040 (/ (pow im 2) (pow re 2))) (* 1/120 (/ 1 (pow re 2))))) 1/720)))
(* -1 (* (pow re 3) (+ (* -1/2 (/ (- (* -1/3 (pow im 2)) 2) (pow re 2))) (* 1/12 (- (* -1/3 (pow im 2)) 2)))))
(* -1 (* im (sin re)))
(* im (+ (* -1 (sin re)) (* -1/6 (* (pow im 2) (sin re)))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* -1/120 (* (pow im 2) (sin re)))))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* (pow im 2) (+ (* -1/120 (sin re)) (* -1/5040 (* (pow im 2) (sin re)))))))))
(* -2 im)
(* im (- (* -1/3 (pow im 2)) 2))
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
(* -2 (* im (* re (+ 1/2 (* -1/12 (pow re 2))))))
(* im (+ (* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/3 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2))))))))
(* im (+ (* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1/3 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/60 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2))))))))))
(* im (+ (* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1/3 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1/60 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/2520 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2))))))))))))
(* -2 (* im (+ 1/2 (* -1/12 (pow re 2)))))
(* im (+ (* -2 (+ 1/2 (* -1/12 (pow re 2)))) (* -1/3 (* (pow im 2) (+ 1/2 (* -1/12 (pow re 2)))))))
(* im (+ (* -2 (+ 1/2 (* -1/12 (pow re 2)))) (* (pow im 2) (+ (* -1/3 (+ 1/2 (* -1/12 (pow re 2)))) (* -1/60 (* (pow im 2) (+ 1/2 (* -1/12 (pow re 2)))))))))
(* im (+ (* -2 (+ 1/2 (* -1/12 (pow re 2)))) (* (pow im 2) (+ (* -1/3 (+ 1/2 (* -1/12 (pow re 2)))) (* (pow im 2) (+ (* -1/60 (+ 1/2 (* -1/12 (pow re 2)))) (* -1/2520 (* (pow im 2) (+ 1/2 (* -1/12 (pow re 2)))))))))))
(* -2 (* re (+ 1/2 (* -1/12 (pow re 2)))))
(+ (* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/3 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2)))))))
(+ (* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1/3 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/60 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2)))))))))
(+ (* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1/3 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1/60 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/2520 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2)))))))))))
(* -1/60 (* re (+ 1/2 (* -1/12 (pow re 2)))))
(+ (* -1/60 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/2520 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2)))))))
-1/60
(- (* -1/2520 (pow im 2)) 1/60)
-1/3
(- (* -1/60 (pow im 2)) 1/3)
(- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)
-1
(- (* -1/6 (pow im 2)) 1)
-2
(- (* -1/3 (pow im 2)) 2)
(- (exp (neg im)) (exp im))
(* -1/6 (* (pow im 3) (sin re)))
(* (pow im 3) (+ (* -1 (/ (sin re) (pow im 2))) (* -1/6 (sin re))))
(* re (* (+ 1/2 (* -1/12 (pow re 2))) (- (exp (neg im)) (exp im))))
(* (+ 1/2 (* -1/12 (pow re 2))) (- (exp (neg im)) (exp im)))
(* -1/3 (* (pow im 3) (+ 1/2 (* -1/12 (pow re 2)))))
(* (pow im 3) (+ (* -2 (/ (+ 1/2 (* -1/12 (pow re 2))) (pow im 2))) (* -1/3 (+ 1/2 (* -1/12 (pow re 2))))))
(* -1/2520 (* (pow im 6) (* re (+ 1/2 (* -1/12 (pow re 2))))))
(* (pow im 6) (+ (* -1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* -1/2520 (* re (+ 1/2 (* -1/12 (pow re 2)))))))
(* (pow im 6) (+ (* -1/3 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 4))) (+ (* -1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* -1/2520 (* re (+ 1/2 (* -1/12 (pow re 2))))))))
(* (pow im 6) (+ (* -2 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 6))) (+ (* -1/3 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 4))) (+ (* -1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* -1/2520 (* re (+ 1/2 (* -1/12 (pow re 2)))))))))
(* -1/2520 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2))))))
(* (pow im 2) (+ (* -1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* -1/2520 (* re (+ 1/2 (* -1/12 (pow re 2)))))))
(* -1/2520 (pow im 2))
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* -1/2520 (pow im 4))
(* -1 (* (pow im 4) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* (pow im 4) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(* -1/6 (pow im 2))
(* -1 (* (pow im 2) (+ 1/6 (/ 1 (pow im 2)))))
(* -1/3 (pow im 2))
(* -1 (* (pow im 2) (+ 1/3 (* 2 (/ 1 (pow im 2))))))
(* -1/3 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2))))))
(* (pow im 2) (+ (* -2 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* -1/3 (* re (+ 1/2 (* -1/12 (pow re 2)))))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(- (exp (* -1 im)) (exp im))
(* -1 (* (pow im 3) (+ (* 1/6 (sin re)) (/ (sin re) (pow im 2)))))
(* re (* (+ 1/2 (* -1/12 (pow re 2))) (- (exp (* -1 im)) (exp im))))
(* (+ 1/2 (* -1/12 (pow re 2))) (- (exp (* -1 im)) (exp im)))
(* -1 (* (pow im 3) (+ (* 1/3 (+ 1/2 (* -1/12 (pow re 2)))) (* 2 (/ (+ 1/2 (* -1/12 (pow re 2))) (pow im 2))))))
Calls

6 calls:

TimeVariablePointExpression
35.0ms
im
@0
((* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (* (sin re) im) (+ (* (* im im) -1/6) -1)) (* (sin re) im) (* re im) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (* (* (+ (* (* re re) -1/12) 1/2) (+ (* -1/3 (* im im)) -2)) im) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (* re re) -1/12) 1/2) re) (+ (* (* re re) -1/12) 1/2) (+ (* (pow im 4) (+ (* (* (* (+ (* -1/12 (* re re)) 1/2) re) (* -1/2520 im)) im) (* (* (+ (* -1/12 (* re re)) 1/2) re) -1/60))) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/3 (* im im)) -2))) (+ (* (* (* (+ (* -1/12 (* re re)) 1/2) re) (* -1/2520 im)) im) (* (* (+ (* -1/12 (* re re)) 1/2) re) -1/60)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (+ (* (* -1/2520 im) im) -1/60) (+ (* (+ (* (* -1/2520 im) im) -1/60) (* im im)) -1/3) (+ (* (* im im) -1/6) -1) (+ (* -1/3 (* im im)) -2) (- (exp (neg im)) (exp im)) (+ (* -1/2520 (* im im)) -1/60) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/3 (* im im)) -2)))
5.0ms
re
@-inf
((* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (* (sin re) im) (+ (* (* im im) -1/6) -1)) (* (sin re) im) (* re im) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (* (* (+ (* (* re re) -1/12) 1/2) (+ (* -1/3 (* im im)) -2)) im) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (* re re) -1/12) 1/2) re) (+ (* (* re re) -1/12) 1/2) (+ (* (pow im 4) (+ (* (* (* (+ (* -1/12 (* re re)) 1/2) re) (* -1/2520 im)) im) (* (* (+ (* -1/12 (* re re)) 1/2) re) -1/60))) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/3 (* im im)) -2))) (+ (* (* (* (+ (* -1/12 (* re re)) 1/2) re) (* -1/2520 im)) im) (* (* (+ (* -1/12 (* re re)) 1/2) re) -1/60)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (+ (* (* -1/2520 im) im) -1/60) (+ (* (+ (* (* -1/2520 im) im) -1/60) (* im im)) -1/3) (+ (* (* im im) -1/6) -1) (+ (* -1/3 (* im im)) -2) (- (exp (neg im)) (exp im)) (+ (* -1/2520 (* im im)) -1/60) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/3 (* im im)) -2)))
4.0ms
re
@inf
((* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (* (sin re) im) (+ (* (* im im) -1/6) -1)) (* (sin re) im) (* re im) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (* (* (+ (* (* re re) -1/12) 1/2) (+ (* -1/3 (* im im)) -2)) im) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (* re re) -1/12) 1/2) re) (+ (* (* re re) -1/12) 1/2) (+ (* (pow im 4) (+ (* (* (* (+ (* -1/12 (* re re)) 1/2) re) (* -1/2520 im)) im) (* (* (+ (* -1/12 (* re re)) 1/2) re) -1/60))) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/3 (* im im)) -2))) (+ (* (* (* (+ (* -1/12 (* re re)) 1/2) re) (* -1/2520 im)) im) (* (* (+ (* -1/12 (* re re)) 1/2) re) -1/60)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (+ (* (* -1/2520 im) im) -1/60) (+ (* (+ (* (* -1/2520 im) im) -1/60) (* im im)) -1/3) (+ (* (* im im) -1/6) -1) (+ (* -1/3 (* im im)) -2) (- (exp (neg im)) (exp im)) (+ (* -1/2520 (* im im)) -1/60) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/3 (* im im)) -2)))
4.0ms
im
@inf
((* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (* (sin re) im) (+ (* (* im im) -1/6) -1)) (* (sin re) im) (* re im) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (* (* (+ (* (* re re) -1/12) 1/2) (+ (* -1/3 (* im im)) -2)) im) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (* re re) -1/12) 1/2) re) (+ (* (* re re) -1/12) 1/2) (+ (* (pow im 4) (+ (* (* (* (+ (* -1/12 (* re re)) 1/2) re) (* -1/2520 im)) im) (* (* (+ (* -1/12 (* re re)) 1/2) re) -1/60))) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/3 (* im im)) -2))) (+ (* (* (* (+ (* -1/12 (* re re)) 1/2) re) (* -1/2520 im)) im) (* (* (+ (* -1/12 (* re re)) 1/2) re) -1/60)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (+ (* (* -1/2520 im) im) -1/60) (+ (* (+ (* (* -1/2520 im) im) -1/60) (* im im)) -1/3) (+ (* (* im im) -1/6) -1) (+ (* -1/3 (* im im)) -2) (- (exp (neg im)) (exp im)) (+ (* -1/2520 (* im im)) -1/60) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/3 (* im im)) -2)))
4.0ms
im
@-inf
((* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (* (sin re) im) (+ (* (* im im) -1/6) -1)) (* (sin re) im) (* re im) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (* (* (+ (* (* re re) -1/12) 1/2) (+ (* -1/3 (* im im)) -2)) im) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (* re re) -1/12) 1/2) re) (+ (* (* re re) -1/12) 1/2) (+ (* (pow im 4) (+ (* (* (* (+ (* -1/12 (* re re)) 1/2) re) (* -1/2520 im)) im) (* (* (+ (* -1/12 (* re re)) 1/2) re) -1/60))) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/3 (* im im)) -2))) (+ (* (* (* (+ (* -1/12 (* re re)) 1/2) re) (* -1/2520 im)) im) (* (* (+ (* -1/12 (* re re)) 1/2) re) -1/60)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (+ (* (* -1/2520 im) im) -1/60) (+ (* (+ (* (* -1/2520 im) im) -1/60) (* im im)) -1/3) (+ (* (* im im) -1/6) -1) (+ (* -1/3 (* im im)) -2) (- (exp (neg im)) (exp im)) (+ (* -1/2520 (* im im)) -1/60) (* (* (+ (* (* re re) -1/12) 1/2) re) (+ (* -1/3 (* im im)) -2)))

simplify267.0ms (2.4%)

Memory
2.5MiB live, 269.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03942310
113542049
252651851
090951699
Stop Event
iter limit
node limit
Counts
121 → 120
Calls
Call 1
Inputs
(* 1/2 (* re (- (exp (neg im)) (exp im))))
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im))))))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp im)))))))))
(* 1/2 re)
(* re (+ 1/2 (* -1/12 (pow re 2))))
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))
re
(* re (+ 1 (* -1/6 (pow re 2))))
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))
(* im (* re (- (* -1/6 (pow im 2)) 1)))
(* re (+ (* -1/6 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))) (* im (- (* -1/6 (pow im 2)) 1))))
(* re (+ (* im (- (* -1/6 (pow im 2)) 1)) (* (pow re 2) (+ (* -1/6 (* im (- (* -1/6 (pow im 2)) 1))) (* 1/120 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1))))))))
(* re (+ (* im (- (* -1/6 (pow im 2)) 1)) (* (pow re 2) (+ (* -1/6 (* im (- (* -1/6 (pow im 2)) 1))) (* (pow re 2) (+ (* -1/5040 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))) (* 1/120 (* im (- (* -1/6 (pow im 2)) 1)))))))))
(* im re)
(* re (+ im (* -1/6 (* im (pow re 2)))))
(* re (+ im (* (pow re 2) (+ (* -1/6 im) (* 1/120 (* im (pow re 2)))))))
(* re (+ im (* (pow re 2) (+ (* -1/6 im) (* (pow re 2) (+ (* -1/5040 (* im (pow re 2))) (* 1/120 im)))))))
(* 1/2 (- (exp (neg im)) (exp im)))
(+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))
(* 1/2 (* im (- (* -1/3 (pow im 2)) 2)))
(+ (* -1/12 (* im (* (pow re 2) (- (* -1/3 (pow im 2)) 2)))) (* 1/2 (* im (- (* -1/3 (pow im 2)) 2))))
1/2
(+ 1/2 (* -1/12 (pow re 2)))
(* re (+ (* 1/2 (- (* -1/3 (pow im 2)) 2)) (* (pow im 4) (- (* -1/5040 (pow im 2)) 1/120))))
(* re (+ (* 1/2 (- (* -1/3 (pow im 2)) 2)) (+ (* (pow im 4) (- (* -1/5040 (pow im 2)) 1/120)) (* (pow re 2) (+ (* -1/12 (- (* -1/3 (pow im 2)) 2)) (* (pow im 4) (+ 1/720 (* 1/30240 (pow im 2)))))))))
(* re (- (* -1/5040 (pow im 2)) 1/120))
(* re (- (+ (* -1/5040 (pow im 2)) (* (pow re 2) (+ 1/720 (* 1/30240 (pow im 2))))) 1/120))
(* 1/2 (* re (- (* -1/3 (pow im 2)) 2)))
(* re (+ (* -1/12 (* (pow re 2) (- (* -1/3 (pow im 2)) 2))) (* 1/2 (- (* -1/3 (pow im 2)) 2))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (sin re))
(sin re)
(* im (* (sin re) (- (* -1/6 (pow im 2)) 1)))
(* im (sin re))
(* -1/12 (* (pow re 3) (- (exp (neg im)) (exp im))))
(* (pow re 3) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/2 (/ (- (exp (neg im)) (exp im)) (pow re 2)))))
(* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im))))
(* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/2 (/ (- (exp (neg im)) (exp im)) (pow re 2)))))
(* -1/12 (* im (* (pow re 2) (- (* -1/3 (pow im 2)) 2))))
(* (pow re 2) (+ (* -1/12 (* im (- (* -1/3 (pow im 2)) 2))) (* 1/2 (/ (* im (- (* -1/3 (pow im 2)) 2)) (pow re 2)))))
(* -1/12 (pow re 3))
(* (pow re 3) (- (* 1/2 (/ 1 (pow re 2))) 1/12))
(* -1/12 (pow re 2))
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/12))
(* (pow re 3) (+ (* -1/12 (- (* -1/3 (pow im 2)) 2)) (* (pow im 4) (+ 1/720 (* 1/30240 (pow im 2))))))
(* (pow re 3) (+ (* -1/12 (- (* -1/3 (pow im 2)) 2)) (+ (* 1/2 (/ (- (* -1/3 (pow im 2)) 2) (pow re 2))) (+ (* (pow im 4) (+ 1/720 (* 1/30240 (pow im 2)))) (/ (* (pow im 4) (- (* -1/5040 (pow im 2)) 1/120)) (pow re 2))))))
(* (pow re 3) (+ 1/720 (* 1/30240 (pow im 2))))
(* (pow re 3) (- (+ 1/720 (+ (* -1/5040 (/ (pow im 2) (pow re 2))) (* 1/30240 (pow im 2)))) (* 1/120 (/ 1 (pow re 2)))))
(* -1/12 (* (pow re 3) (- (* -1/3 (pow im 2)) 2)))
(* (pow re 3) (+ (* -1/12 (- (* -1/3 (pow im 2)) 2)) (* 1/2 (/ (- (* -1/3 (pow im 2)) 2) (pow re 2)))))
(* -1 (* (pow re 3) (+ (* -1/2 (/ (- (exp (neg im)) (exp im)) (pow re 2))) (* 1/12 (- (exp (neg im)) (exp im))))))
(* -1 (* (pow re 3) (- 1/12 (* 1/2 (/ 1 (pow re 2))))))
(* -1 (* (pow re 3) (+ (* 1/12 (- (* -1/3 (pow im 2)) 2)) (* (pow im 4) (- (* -1/30240 (pow im 2)) 1/720)))))
(* -1 (* (pow re 3) (+ (* -1/2 (/ (- (* -1/3 (pow im 2)) 2) (pow re 2))) (+ (* 1/12 (- (* -1/3 (pow im 2)) 2)) (+ (* (pow im 4) (- (* -1/30240 (pow im 2)) 1/720)) (/ (* (pow im 4) (+ 1/120 (* 1/5040 (pow im 2)))) (pow re 2)))))))
(* -1 (* (pow re 3) (- (* -1/30240 (pow im 2)) 1/720)))
(* -1 (* (pow re 3) (- (+ (* -1/30240 (pow im 2)) (+ (* 1/5040 (/ (pow im 2) (pow re 2))) (* 1/120 (/ 1 (pow re 2))))) 1/720)))
(* -1 (* (pow re 3) (+ (* -1/2 (/ (- (* -1/3 (pow im 2)) 2) (pow re 2))) (* 1/12 (- (* -1/3 (pow im 2)) 2)))))
(* -1 (* im (sin re)))
(* im (+ (* -1 (sin re)) (* -1/6 (* (pow im 2) (sin re)))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* -1/120 (* (pow im 2) (sin re)))))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* (pow im 2) (+ (* -1/120 (sin re)) (* -1/5040 (* (pow im 2) (sin re)))))))))
(* -2 im)
(* im (- (* -1/3 (pow im 2)) 2))
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
(* -2 (* im (* re (+ 1/2 (* -1/12 (pow re 2))))))
(* im (+ (* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/3 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2))))))))
(* im (+ (* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1/3 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/60 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2))))))))))
(* im (+ (* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1/3 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1/60 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/2520 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2))))))))))))
(* -2 (* im (+ 1/2 (* -1/12 (pow re 2)))))
(* im (+ (* -2 (+ 1/2 (* -1/12 (pow re 2)))) (* -1/3 (* (pow im 2) (+ 1/2 (* -1/12 (pow re 2)))))))
(* im (+ (* -2 (+ 1/2 (* -1/12 (pow re 2)))) (* (pow im 2) (+ (* -1/3 (+ 1/2 (* -1/12 (pow re 2)))) (* -1/60 (* (pow im 2) (+ 1/2 (* -1/12 (pow re 2)))))))))
(* im (+ (* -2 (+ 1/2 (* -1/12 (pow re 2)))) (* (pow im 2) (+ (* -1/3 (+ 1/2 (* -1/12 (pow re 2)))) (* (pow im 2) (+ (* -1/60 (+ 1/2 (* -1/12 (pow re 2)))) (* -1/2520 (* (pow im 2) (+ 1/2 (* -1/12 (pow re 2)))))))))))
(* -2 (* re (+ 1/2 (* -1/12 (pow re 2)))))
(+ (* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/3 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2)))))))
(+ (* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1/3 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/60 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2)))))))))
(+ (* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1/3 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1/60 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/2520 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2)))))))))))
(* -1/60 (* re (+ 1/2 (* -1/12 (pow re 2)))))
(+ (* -1/60 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/2520 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2)))))))
-1/60
(- (* -1/2520 (pow im 2)) 1/60)
-1/3
(- (* -1/60 (pow im 2)) 1/3)
(- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)
-1
(- (* -1/6 (pow im 2)) 1)
-2
(- (* -1/3 (pow im 2)) 2)
(- (exp (neg im)) (exp im))
(* -1/6 (* (pow im 3) (sin re)))
(* (pow im 3) (+ (* -1 (/ (sin re) (pow im 2))) (* -1/6 (sin re))))
(* re (* (+ 1/2 (* -1/12 (pow re 2))) (- (exp (neg im)) (exp im))))
(* (+ 1/2 (* -1/12 (pow re 2))) (- (exp (neg im)) (exp im)))
(* -1/3 (* (pow im 3) (+ 1/2 (* -1/12 (pow re 2)))))
(* (pow im 3) (+ (* -2 (/ (+ 1/2 (* -1/12 (pow re 2))) (pow im 2))) (* -1/3 (+ 1/2 (* -1/12 (pow re 2))))))
(* -1/2520 (* (pow im 6) (* re (+ 1/2 (* -1/12 (pow re 2))))))
(* (pow im 6) (+ (* -1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* -1/2520 (* re (+ 1/2 (* -1/12 (pow re 2)))))))
(* (pow im 6) (+ (* -1/3 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 4))) (+ (* -1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* -1/2520 (* re (+ 1/2 (* -1/12 (pow re 2))))))))
(* (pow im 6) (+ (* -2 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 6))) (+ (* -1/3 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 4))) (+ (* -1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* -1/2520 (* re (+ 1/2 (* -1/12 (pow re 2)))))))))
(* -1/2520 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2))))))
(* (pow im 2) (+ (* -1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* -1/2520 (* re (+ 1/2 (* -1/12 (pow re 2)))))))
(* -1/2520 (pow im 2))
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* -1/2520 (pow im 4))
(* -1 (* (pow im 4) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* (pow im 4) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(* -1/6 (pow im 2))
(* -1 (* (pow im 2) (+ 1/6 (/ 1 (pow im 2)))))
(* -1/3 (pow im 2))
(* -1 (* (pow im 2) (+ 1/3 (* 2 (/ 1 (pow im 2))))))
(* -1/3 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2))))))
(* (pow im 2) (+ (* -2 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* -1/3 (* re (+ 1/2 (* -1/12 (pow re 2)))))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(- (exp (* -1 im)) (exp im))
(* -1 (* (pow im 3) (+ (* 1/6 (sin re)) (/ (sin re) (pow im 2)))))
(* re (* (+ 1/2 (* -1/12 (pow re 2))) (- (exp (* -1 im)) (exp im))))
(* (+ 1/2 (* -1/12 (pow re 2))) (- (exp (* -1 im)) (exp im)))
(* -1 (* (pow im 3) (+ (* 1/3 (+ 1/2 (* -1/12 (pow re 2)))) (* 2 (/ (+ 1/2 (* -1/12 (pow re 2))) (pow im 2))))))
Outputs
(* 1/2 (* re (- (exp (neg im)) (exp im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))))
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im))))))))
(*.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (+.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 re re) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))))) re)
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp im)))))))))
(*.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64))) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) re)
(* 1/2 re)
(*.f64 #s(literal 1/2 binary64) re)
(* re (+ 1/2 (* -1/12 (pow re 2))))
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)
re
(* re (+ 1 (* -1/6 (pow re 2))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re)
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re)
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal -1/6 binary64)) re)
(* im (* re (- (* -1/6 (pow im 2)) 1)))
(*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im)) re)
(* re (+ (* -1/6 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))) (* im (- (* -1/6 (pow im 2)) 1))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im))) re)
(* re (+ (* im (- (* -1/6 (pow im 2)) 1)) (* (pow re 2) (+ (* -1/6 (* im (- (* -1/6 (pow im 2)) 1))) (* 1/120 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1))))))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64))) (*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im)) re))
(* re (+ (* im (- (* -1/6 (pow im 2)) 1)) (* (pow re 2) (+ (* -1/6 (* im (- (* -1/6 (pow im 2)) 1))) (* (pow re 2) (+ (* -1/5040 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))) (* 1/120 (* im (- (* -1/6 (pow im 2)) 1)))))))))
(*.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) (*.f64 im (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im)))) re)
(* im re)
(*.f64 im re)
(* re (+ im (* -1/6 (* im (pow re 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) im) re)
(* re (+ im (* (pow re 2) (+ (* -1/6 im) (* 1/120 (* im (pow re 2)))))))
(*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64))) (*.f64 re re) im) re)
(* re (+ im (* (pow re 2) (+ (* -1/6 im) (* (pow re 2) (+ (* -1/5040 (* im (pow re 2))) (* 1/120 im)))))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 im (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64))) re) re (*.f64 #s(literal -1/6 binary64) im)) (*.f64 im re))
(* 1/2 (- (exp (neg im)) (exp im)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* im (- (* -1/3 (pow im 2)) 2)))
(*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im) #s(literal 1/2 binary64))
(+ (* -1/12 (* im (* (pow re 2) (- (* -1/3 (pow im 2)) 2)))) (* 1/2 (* im (- (* -1/3 (pow im 2)) 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/12 (pow re 2)))
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(* re (+ (* 1/2 (- (* -1/3 (pow im 2)) 2)) (* (pow im 4) (- (* -1/5040 (pow im 2)) 1/120))))
(*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)) (pow.f64 im #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) #s(literal 1/2 binary64))) re)
(* re (+ (* 1/2 (- (* -1/3 (pow im 2)) 2)) (+ (* (pow im 4) (- (* -1/5040 (pow im 2)) 1/120)) (* (pow re 2) (+ (* -1/12 (- (* -1/3 (pow im 2)) 2)) (* (pow im 4) (+ 1/720 (* 1/30240 (pow im 2)))))))))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/30240 binary64) (*.f64 im im) #s(literal 1/720 binary64)) re) re (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))))) re)
(* re (- (* -1/5040 (pow im 2)) 1/120))
(*.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)) re)
(* re (- (+ (* -1/5040 (pow im 2)) (* (pow re 2) (+ 1/720 (* 1/30240 (pow im 2))))) 1/120))
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/30240 binary64) (*.f64 im im) #s(literal 1/720 binary64)) re) re (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) re)
(* 1/2 (* re (- (* -1/3 (pow im 2)) 2)))
(*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) re) #s(literal 1/2 binary64))
(* re (+ (* -1/12 (* (pow re 2) (- (* -1/3 (pow im 2)) 2))) (* 1/2 (- (* -1/3 (pow im 2)) 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) re) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (sin re))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
(sin re)
(sin.f64 re)
(* im (* (sin re) (- (* -1/6 (pow im 2)) 1)))
(*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im)) (sin.f64 re))
(* im (sin re))
(*.f64 (sin.f64 re) im)
(* -1/12 (* (pow re 3) (- (exp (neg im)) (exp im))))
(*.f64 (*.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/12 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* (pow re 3) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/2 (/ (- (exp (neg im)) (exp im)) (pow re 2)))))
(*.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64))) (pow.f64 re #s(literal 3 binary64)))
(* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im))))
(*.f64 (*.f64 (*.f64 re re) #s(literal -1/12 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/2 (/ (- (exp (neg im)) (exp im)) (pow re 2)))))
(*.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64))) (*.f64 re re))
(* -1/12 (* im (* (pow re 2) (- (* -1/3 (pow im 2)) 2))))
(*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) #s(literal -1/12 binary64)) im) re) re)
(* (pow re 2) (+ (* -1/12 (* im (- (* -1/3 (pow im 2)) 2))) (* 1/2 (/ (* im (- (* -1/3 (pow im 2)) 2)) (pow re 2)))))
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64))) (*.f64 re re))
(* -1/12 (pow re 3))
(*.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/12 binary64))
(* (pow re 3) (- (* 1/2 (/ 1 (pow re 2))) 1/12))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (pow.f64 re #s(literal 3 binary64)))
(* -1/12 (pow re 2))
(*.f64 (*.f64 re re) #s(literal -1/12 binary64))
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/12))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re)
(* (pow re 3) (+ (* -1/12 (- (* -1/3 (pow im 2)) 2)) (* (pow im 4) (+ 1/720 (* 1/30240 (pow im 2))))))
(*.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/30240 binary64) (*.f64 im im) #s(literal 1/720 binary64)) (pow.f64 im #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) #s(literal -1/12 binary64))))
(* (pow re 3) (+ (* -1/12 (- (* -1/3 (pow im 2)) 2)) (+ (* 1/2 (/ (- (* -1/3 (pow im 2)) 2) (pow re 2))) (+ (* (pow im 4) (+ 1/720 (* 1/30240 (pow im 2)))) (/ (* (pow im 4) (- (* -1/5040 (pow im 2)) 1/120)) (pow re 2))))))
(*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (/.f64 (/.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)) re) re) (fma.f64 #s(literal 1/30240 binary64) (*.f64 im im) #s(literal 1/720 binary64))) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)))) (pow.f64 re #s(literal 3 binary64)))
(* (pow re 3) (+ 1/720 (* 1/30240 (pow im 2))))
(*.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/30240 binary64) (*.f64 im im) #s(literal 1/720 binary64)))
(* (pow re 3) (- (+ 1/720 (+ (* -1/5040 (/ (pow im 2) (pow re 2))) (* 1/30240 (pow im 2)))) (* 1/120 (/ 1 (pow re 2)))))
(*.f64 (+.f64 (fma.f64 #s(literal 1/30240 binary64) (*.f64 im im) #s(literal 1/720 binary64)) (/.f64 (/.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)) re) re)) (pow.f64 re #s(literal 3 binary64)))
(* -1/12 (* (pow re 3) (- (* -1/3 (pow im 2)) 2)))
(*.f64 (*.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/12 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))
(* (pow re 3) (+ (* -1/12 (- (* -1/3 (pow im 2)) 2)) (* 1/2 (/ (- (* -1/3 (pow im 2)) 2) (pow re 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64))) (pow.f64 re #s(literal 3 binary64)))
(* -1 (* (pow re 3) (+ (* -1/2 (/ (- (exp (neg im)) (exp im)) (pow re 2))) (* 1/12 (- (exp (neg im)) (exp im))))))
(*.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64))) (pow.f64 re #s(literal 3 binary64)))
(* -1 (* (pow re 3) (- 1/12 (* 1/2 (/ 1 (pow re 2))))))
(*.f64 (neg.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 re re)))) (pow.f64 re #s(literal 3 binary64)))
(* -1 (* (pow re 3) (+ (* 1/12 (- (* -1/3 (pow im 2)) 2)) (* (pow im 4) (- (* -1/30240 (pow im 2)) 1/720)))))
(*.f64 (neg.f64 (pow.f64 re #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 im im) #s(literal -1/720 binary64)) (pow.f64 im #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) #s(literal 1/12 binary64))))
(* -1 (* (pow re 3) (+ (* -1/2 (/ (- (* -1/3 (pow im 2)) 2) (pow re 2))) (+ (* 1/12 (- (* -1/3 (pow im 2)) 2)) (+ (* (pow im 4) (- (* -1/30240 (pow im 2)) 1/720)) (/ (* (pow im 4) (+ 1/120 (* 1/5040 (pow im 2)))) (pow re 2)))))))
(fma.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64))) (pow.f64 re #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (/.f64 (/.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) re) re) (fma.f64 #s(literal -1/30240 binary64) (*.f64 im im) #s(literal -1/720 binary64)))) (neg.f64 (pow.f64 re #s(literal 3 binary64)))))
(* -1 (* (pow re 3) (- (* -1/30240 (pow im 2)) 1/720)))
(*.f64 (neg.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 im im) #s(literal -1/720 binary64))) (pow.f64 re #s(literal 3 binary64)))
(* -1 (* (pow re 3) (- (+ (* -1/30240 (pow im 2)) (+ (* 1/5040 (/ (pow im 2) (pow re 2))) (* 1/120 (/ 1 (pow re 2))))) 1/720)))
(*.f64 (neg.f64 (pow.f64 re #s(literal 3 binary64))) (fma.f64 (*.f64 im im) (+.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 re re)) #s(literal -1/30240 binary64)) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 re re)) #s(literal 1/720 binary64))))
(* -1 (* (pow re 3) (+ (* -1/2 (/ (- (* -1/3 (pow im 2)) 2) (pow re 2))) (* 1/12 (- (* -1/3 (pow im 2)) 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64))) (pow.f64 re #s(literal 3 binary64)))
(* -1 (* im (sin re)))
(*.f64 (neg.f64 (sin.f64 re)) im)
(* im (+ (* -1 (sin re)) (* -1/6 (* (pow im 2) (sin re)))))
(*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im)) (sin.f64 re))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* -1/120 (* (pow im 2) (sin re)))))))
(*.f64 (fma.f64 (*.f64 (sin.f64 re) (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64))) (*.f64 im im) (neg.f64 (sin.f64 re))) im)
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* (pow im 2) (+ (* -1/120 (sin re)) (* -1/5040 (* (pow im 2) (sin re)))))))))
(*.f64 (fma.f64 (*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) (pow.f64 im #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) (sin.f64 re))) im)
(* -2 im)
(*.f64 #s(literal -2 binary64) im)
(* im (- (* -1/3 (pow im 2)) 2))
(*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)
(* -2 (* im (* re (+ 1/2 (* -1/12 (pow re 2))))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im) re)
(* im (+ (* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/3 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2))))))))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)
(* im (+ (* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1/3 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/60 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2))))))))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im) re (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)))))
(* im (+ (* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1/3 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1/60 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/2520 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2))))))))))))
(*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) (pow.f64 im #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im)
(* -2 (* im (+ 1/2 (* -1/12 (pow re 2)))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im)
(* im (+ (* -2 (+ 1/2 (* -1/12 (pow re 2)))) (* -1/3 (* (pow im 2) (+ 1/2 (* -1/12 (pow re 2)))))))
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)
(* im (+ (* -2 (+ 1/2 (* -1/12 (pow re 2)))) (* (pow im 2) (+ (* -1/3 (+ 1/2 (* -1/12 (pow re 2)))) (* -1/60 (* (pow im 2) (+ 1/2 (* -1/12 (pow re 2)))))))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im))
(* im (+ (* -2 (+ 1/2 (* -1/12 (pow re 2)))) (* (pow im 2) (+ (* -1/3 (+ 1/2 (* -1/12 (pow re 2)))) (* (pow im 2) (+ (* -1/60 (+ 1/2 (* -1/12 (pow re 2)))) (* -1/2520 (* (pow im 2) (+ 1/2 (* -1/12 (pow re 2)))))))))))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) (pow.f64 im #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im)
(* -2 (* re (+ 1/2 (* -1/12 (pow re 2)))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) re)
(+ (* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/3 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2)))))))
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))
(+ (* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1/3 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/60 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2)))))))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) re (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64))) (*.f64 im im)))
(+ (* -2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1/3 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1/60 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/2520 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2)))))))))))
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) (pow.f64 im #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))))
(* -1/60 (* re (+ 1/2 (* -1/12 (pow re 2)))))
(*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 re re) #s(literal -1/120 binary64)) re)
(+ (* -1/60 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* -1/2520 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2)))))))
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)))
-1/60
#s(literal -1/60 binary64)
(- (* -1/2520 (pow im 2)) 1/60)
(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))
-1/3
#s(literal -1/3 binary64)
(- (* -1/60 (pow im 2)) 1/3)
(fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64))
(- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)
(fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64))
-1
#s(literal -1 binary64)
(- (* -1/6 (pow im 2)) 1)
(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))
-2
#s(literal -2 binary64)
(- (* -1/3 (pow im 2)) 2)
(fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))
(- (exp (neg im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* -1/6 (* (pow im 3) (sin re)))
(*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) (sin.f64 re))
(* (pow im 3) (+ (* -1 (/ (sin re) (pow im 2))) (* -1/6 (sin re))))
(*.f64 (*.f64 (sin.f64 re) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 im im)) #s(literal -1/6 binary64))) (pow.f64 im #s(literal 3 binary64)))
(* re (* (+ 1/2 (* -1/12 (pow re 2))) (- (exp (neg im)) (exp im))))
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* (+ 1/2 (* -1/12 (pow re 2))) (- (exp (neg im)) (exp im)))
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* -1/3 (* (pow im 3) (+ 1/2 (* -1/12 (pow re 2)))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/6 binary64)))
(* (pow im 3) (+ (* -2 (/ (+ 1/2 (* -1/12 (pow re 2))) (pow im 2))) (* -1/3 (+ 1/2 (* -1/12 (pow re 2))))))
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 im im)) #s(literal -1/3 binary64))) (pow.f64 im #s(literal 3 binary64)))
(* -1/2520 (* (pow im 6) (* re (+ 1/2 (* -1/12 (pow re 2))))))
(*.f64 (*.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/2520 binary64)) re) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(* (pow im 6) (+ (* -1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* -1/2520 (* re (+ 1/2 (* -1/12 (pow re 2)))))))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (+.f64 #s(literal -1/2520 binary64) (/.f64 #s(literal -1/60 binary64) (*.f64 im im)))) (pow.f64 im #s(literal 6 binary64)))
(* (pow im 6) (+ (* -1/3 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 4))) (+ (* -1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* -1/2520 (* re (+ 1/2 (* -1/12 (pow re 2))))))))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (+.f64 #s(literal -1/2520 binary64) (/.f64 #s(literal -1/60 binary64) (*.f64 im im))) (/.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re) (pow.f64 im #s(literal 4 binary64)))) (pow.f64 im #s(literal 6 binary64)))
(* (pow im 6) (+ (* -2 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 6))) (+ (* -1/3 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 4))) (+ (* -1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* -1/2520 (* re (+ 1/2 (* -1/12 (pow re 2)))))))))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (+.f64 (/.f64 #s(literal -2 binary64) (pow.f64 im #s(literal 6 binary64))) (/.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 4 binary64)))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (+.f64 #s(literal -1/2520 binary64) (/.f64 #s(literal -1/60 binary64) (*.f64 im im))))) (pow.f64 im #s(literal 6 binary64)))
(* -1/2520 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2))))))
(*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) im) im) #s(literal -1/2520 binary64))
(* (pow im 2) (+ (* -1/60 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* -1/2520 (* re (+ 1/2 (* -1/12 (pow re 2)))))))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (+.f64 #s(literal -1/2520 binary64) (/.f64 #s(literal -1/60 binary64) (*.f64 im im)))) (*.f64 im im))
(* -1/2520 (pow im 2))
(*.f64 #s(literal -1/2520 binary64) (*.f64 im im))
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))
(* -1/2520 (pow im 4))
(*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 4 binary64)))
(* -1 (* (pow im 4) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(*.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 im im)) #s(literal 1/2520 binary64))) (pow.f64 im #s(literal 4 binary64)))
(* (pow im 4) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(*.f64 (-.f64 #s(literal -1/2520 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im)) (pow.f64 im #s(literal 4 binary64)))
(* -1/6 (pow im 2))
(*.f64 (*.f64 im im) #s(literal -1/6 binary64))
(* -1 (* (pow im 2) (+ 1/6 (/ 1 (pow im 2)))))
(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))
(* -1/3 (pow im 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 im im))
(* -1 (* (pow im 2) (+ 1/3 (* 2 (/ 1 (pow im 2))))))
(fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))
(* -1/3 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2))))))
(*.f64 (*.f64 (*.f64 im im) re) (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/6 binary64)))
(* (pow im 2) (+ (* -2 (/ (* re (+ 1/2 (* -1/12 (pow re 2)))) (pow im 2))) (* -1/3 (* re (+ 1/2 (* -1/12 (pow re 2)))))))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 im im)) #s(literal -1/3 binary64))) (*.f64 im im))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* -1 (* (pow im 3) (+ (* 1/6 (sin re)) (/ (sin re) (pow im 2)))))
(*.f64 (*.f64 (sin.f64 re) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 im im)) #s(literal -1/6 binary64))) (pow.f64 im #s(literal 3 binary64)))
(* re (* (+ 1/2 (* -1/12 (pow re 2))) (- (exp (* -1 im)) (exp im))))
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* (+ 1/2 (* -1/12 (pow re 2))) (- (exp (* -1 im)) (exp im)))
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* -1 (* (pow im 3) (+ (* 1/3 (+ 1/2 (* -1/12 (pow re 2)))) (* 2 (/ (+ 1/2 (* -1/12 (pow re 2))) (pow im 2))))))
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 im im)) #s(literal -1/3 binary64))) (pow.f64 im #s(literal 3 binary64)))

rewrite253.0ms (2.3%)

Memory
3.3MiB live, 329.6MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
066574
0113574
1406538
22370538
08067538
Stop Event
iter limit
node limit
iter limit
Counts
27 → 501
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
(sin.f64 re)
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))
#s(approx (* (sin re) im) (*.f64 re im))
(*.f64 re im)
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re))
(*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re)
#s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im))
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re))
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) (*.f64 #s(literal -1/2520 binary64) im)) im (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))))
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) (*.f64 #s(literal -1/2520 binary64) im)) im (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) (*.f64 #s(literal -1/2520 binary64) im)) im (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im)))
#s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) (*.f64 #s(literal -1/2520 binary64) im)) im (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im))
(fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64))
(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))
Outputs
(*.f64 (*.f64 #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) #s(literal 1/2 binary64)) (sin.f64 re))
(*.f64 (*.f64 #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) (sin.f64 re)) #s(literal 1/2 binary64))
(*.f64 #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) (sin.f64 re)))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
(sin.f64 re)
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal -1 binary64)) #s(approx (* (sin re) im) (*.f64 im re))))
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal -1 binary64)) #s(approx (* (sin re) im) (*.f64 im re)))
(*.f64 #s(approx (* (sin re) im) (*.f64 im re)) (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal -1 binary64)))
(/.f64 (fma.f64 (pow.f64 #s(approx (* (sin re) im) (*.f64 im re)) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #s(approx (* (sin re) im) (*.f64 im re))) #s(literal 3 binary64))) (+.f64 (pow.f64 (neg.f64 #s(approx (* (sin re) im) (*.f64 im re))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #s(approx (* (sin re) im) (*.f64 im re))) #s(literal 2 binary64)) (*.f64 (neg.f64 #s(approx (* (sin re) im) (*.f64 im re))) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #s(approx (* (sin re) im) (*.f64 im re)))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64)) #s(approx (* (sin re) im) (*.f64 im re)))) (neg.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1 binary64)) #s(approx (* (sin re) im) (*.f64 im re)))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal 1/6 binary64))))))
(/.f64 (neg.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) (fma.f64 #s(literal -1/216 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal 1/6 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #s(approx (* (sin re) im) (*.f64 im re))) #s(literal 2 binary64)) (pow.f64 (neg.f64 #s(approx (* (sin re) im) (*.f64 im re))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #s(approx (* (sin re) im) (*.f64 im re))) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) (*.f64 im im)) #s(literal 3 binary64)) #s(literal -1/216 binary64) (pow.f64 (neg.f64 #s(approx (* (sin re) im) (*.f64 im re))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #s(approx (* (sin re) im) (*.f64 im re))) #s(literal 2 binary64)) (-.f64 (pow.f64 (neg.f64 #s(approx (* (sin re) im) (*.f64 im re))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #s(approx (* (sin re) im) (*.f64 im re))) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re))))))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64)) #s(approx (* (sin re) im) (*.f64 im re))) (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1 binary64)) #s(approx (* (sin re) im) (*.f64 im re))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal 1/6 binary64)))))
(/.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) (fma.f64 #s(literal -1/216 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal 1/6 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #s(approx (* (sin re) im) (*.f64 im re))) #s(literal 2 binary64)) (pow.f64 (neg.f64 #s(approx (* (sin re) im) (*.f64 im re))) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #s(approx (* (sin re) im) (*.f64 im re))) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re)))))
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) (*.f64 im im)) #s(literal 3 binary64)) #s(literal -1/216 binary64) (pow.f64 (neg.f64 #s(approx (* (sin re) im) (*.f64 im re))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #s(approx (* (sin re) im) (*.f64 im re))) #s(literal 2 binary64)) (-.f64 (pow.f64 (neg.f64 #s(approx (* (sin re) im) (*.f64 im re))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #s(approx (* (sin re) im) (*.f64 im re))) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re)))))))
(fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) #s(literal -1/6 binary64)) (*.f64 im im) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re))))
(fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) (*.f64 im im)) #s(literal -1/6 binary64) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re))))
(fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) im) (*.f64 #s(literal -1/6 binary64) im) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re))))
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #s(approx (* (sin re) im) (*.f64 im re)) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re))))
(fma.f64 #s(literal -1 binary64) #s(approx (* (sin re) im) (*.f64 im re)) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #s(approx (* (sin re) im) (*.f64 im re))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 im im) #s(approx (* (sin re) im) (*.f64 im re))) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re))))
(fma.f64 #s(approx (* (sin re) im) (*.f64 im re)) (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re))))
(fma.f64 #s(approx (* (sin re) im) (*.f64 im re)) #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #s(approx (* (sin re) im) (*.f64 im re))))
(fma.f64 (*.f64 im im) (*.f64 #s(literal -1/6 binary64) #s(approx (* (sin re) im) (*.f64 im re))) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re))))
(fma.f64 im (*.f64 (*.f64 #s(literal -1/6 binary64) im) #s(approx (* (sin re) im) (*.f64 im re))) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #s(approx (* (sin re) im) (*.f64 im re))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #s(approx (* (sin re) im) (*.f64 im re))) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re))))) (/.f64 (pow.f64 (neg.f64 #s(approx (* (sin re) im) (*.f64 im re))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #s(approx (* (sin re) im) (*.f64 im re))) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re))))))
(+.f64 (neg.f64 #s(approx (* (sin re) im) (*.f64 im re))) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #s(approx (* (sin re) im) (*.f64 im re))))
(+.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #s(approx (* (sin re) im) (*.f64 im re))) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re))))
#s(approx (* (sin re) im) (*.f64 im re))
(*.f64 im re)
(*.f64 re im)
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) re))
(*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) re)
(*.f64 re #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))))
#s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))))
(*.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))
(*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) im)
(*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) im))
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im))
(*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal -1/3 binary64)) (*.f64 im im)) im) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) im) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal -1/3 binary64)) (*.f64 im im)) im) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal -1/3 binary64)) (*.f64 im im)) im) (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) im) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) im)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal -1/3 binary64)) (*.f64 im im)) im) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) im)))))
(/.f64 (+.f64 (pow.f64 (*.f64 im (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal -1/3 binary64)) (*.f64 im im))) #s(literal 3 binary64)) (pow.f64 (*.f64 im (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 im (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal -1/3 binary64)) (*.f64 im im))) (*.f64 im (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal -1/3 binary64)) (*.f64 im im))) (-.f64 (*.f64 (*.f64 im (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64))) (*.f64 im (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)))) (*.f64 (*.f64 im (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal -1/3 binary64)) (*.f64 im im))) (*.f64 im (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/144 binary64) #s(literal -1/4 binary64)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im))) (neg.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1/1728 binary64) #s(literal 1/8 binary64)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im))) (neg.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/144 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/24 binary64))))))
(/.f64 (*.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/144 binary64) #s(literal -1/4 binary64)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal -1/2 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1/1728 binary64) #s(literal 1/8 binary64)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/144 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/24 binary64)))))
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal -1/3 binary64)) (*.f64 im im)) im (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) im))
(fma.f64 im (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal -1/3 binary64)) (*.f64 im im)) (*.f64 im (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64))))
(+.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal -1/3 binary64)) (*.f64 im im)) im) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) im))
(+.f64 (*.f64 im (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal -1/3 binary64)) (*.f64 im im))) (*.f64 im (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64))))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)))
#s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re))
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(/.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) #s(literal 3 binary64)) #s(literal -8 binary64) (*.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)))) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) re) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) #s(literal -1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) re) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) #s(literal -1/3 binary64)) (*.f64 im im))))))
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(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) (*.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) #s(literal 3 binary64)) #s(literal -8 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) #s(literal -1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) re) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) #s(literal -1/3 binary64)) (*.f64 im im)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) re))))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -4 binary64)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal 2 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal -8 binary64)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) (fma.f64 #s(literal 1/9 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 im im) #s(literal 2/3 binary64)))))
(/.f64 (*.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/144 binary64) #s(literal -1/4 binary64)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) re)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal -1/2 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1/1728 binary64) #s(literal 1/8 binary64)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) re)) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/144 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/24 binary64)))))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal 1/9 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -4 binary64))) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal -8 binary64))) (fma.f64 #s(literal 1/9 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 im im) #s(literal 2/3 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) #s(literal -1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) re) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) #s(literal -1/3 binary64)) (*.f64 im im)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) re)))
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) (*.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) #s(literal 3 binary64)) #s(literal -8 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) #s(literal -1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) re) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) #s(literal -1/3 binary64)) (*.f64 im im)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) re)))))
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (*.f64 #s(literal -1/3 binary64) im)) im (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) re))
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) #s(literal -1/3 binary64)) (*.f64 im im) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) re))
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (*.f64 im im)) #s(literal -1/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) re))
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) re) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) re))
(fma.f64 (*.f64 #s(literal -2 binary64) re) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) #s(literal -1/3 binary64)) (*.f64 im im)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) im) (*.f64 im (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) re))
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal -1/3 binary64)) (*.f64 im im)) re (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) re))
(fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) re (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) #s(literal -1/3 binary64)) (*.f64 im im)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) re))
(fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) re))
(fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) #s(literal -2 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) #s(literal -1/3 binary64)) (*.f64 im im)))
(fma.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 re (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) re))
(fma.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 re #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) #s(literal -1/3 binary64)) (*.f64 im im)))
(fma.f64 #s(literal -2 binary64) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) #s(literal -1/3 binary64)) (*.f64 im im)))
(fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 im im) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) re))
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(fma.f64 re (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) #s(literal -1/3 binary64)) (*.f64 im im)))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) #s(literal -1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) #s(literal -1/3 binary64)) (*.f64 im im)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) re))) (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) re) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) #s(literal -1/3 binary64)) (*.f64 im im)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) re))))
(+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) re) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) #s(literal -1/3 binary64)) (*.f64 im im)))
(+.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) #s(literal -1/3 binary64)) (*.f64 im im)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) re))

eval107.0ms (1%)

Memory
11.8MiB live, 238.5MiB allocated
Compiler

Compiled 59 206 to 3 882 computations (93.4% saved)

prune107.0ms (1%)

Memory
14.2MiB live, 99.9MiB allocated
Pruning

36 alts after pruning (27 fresh and 9 done)

PrunedKeptTotal
New68313696
Fresh41418
Picked325
Done077
Total69036726
Accuracy
99.9%
Counts
726 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.2%
(fma.f64 (exp.f64 (neg.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (*.f64 (neg.f64 (exp.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))))
12.8%
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
63.6%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
91.9%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
90.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
57.5%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
21.1%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
58.6%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
52.2%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
58.6%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
57.8%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
58.6%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
57.8%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) im) im #s(literal -2 binary64)) im)))
52.6%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
29.3%
(*.f64 #s(approx (* 1/2 (sin re)) #s(approx (* (+ (* (* re re) -1/12) 1/2) re) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (pow.f64 re #s(literal 3 binary64))))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
47.5%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) (*.f64 im im)) #s(literal -1/6 binary64) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re)))))
46.1%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) im) (*.f64 #s(literal -1/6 binary64) im) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re)))))
46.1%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 im (*.f64 (*.f64 #s(literal -1/6 binary64) im) #s(approx (* (sin re) im) (*.f64 im re))) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re)))))
27.7%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 im (sin.f64 re)) (*.f64 im (sin.f64 re)))) (+.f64 #s(literal 0 binary64) (*.f64 im (sin.f64 re)))))
82.8%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im)) (sin.f64 re)))
53.9%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 im (neg.f64 (*.f64 im im)))) (sin.f64 re)))
51.0%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) re))
77.7%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal -1 binary64)) (sin.f64 re)) im))
50.6%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re)))
33.0%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im)) re))
41.3%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im)))) im)) re))
44.1%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re))
20.5%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (+ (* -1/3 (* im im)) -2)) im) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) #s(literal -1/12 binary64)) im) re) re))) re))
47.5%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
47.5%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
36.0%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) #s(approx (+ (* (* im im) -1/6) -1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64)))))
57.3%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))) (*.f64 im im)) (*.f64 im im) (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) re) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) im)))
50.7%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) im) (+ (* (* im im) -1/6) -1)) (*.f64 (*.f64 (sin.f64 re) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 im im)) #s(literal -1/6 binary64))) (pow.f64 im #s(literal 3 binary64)))))
34.4%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re)))
29.7%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))
52.0%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (log.f64 (exp.f64 (neg.f64 im))) re)))
Compiler

Compiled 2 984 to 1 091 computations (63.4% saved)

regimes128.0ms (1.1%)

Memory
-30.2MiB live, 177.0MiB allocated
Counts
52 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) #s(approx (+ (* (* im im) -1/6) -1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im)) re))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 im im)) (+.f64 #s(literal 0 binary64) im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 im (*.f64 (*.f64 #s(literal -1/6 binary64) im) #s(approx (* (sin re) im) (*.f64 im re))) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) im) (*.f64 #s(literal -1/6 binary64) im) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) (*.f64 im im)) #s(literal -1/6 binary64) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (+ (* -1/3 (* im im)) -2)) im) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) #s(literal -1/12 binary64)) im) re) re))) re))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im)))) im)) re))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) im) im #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) re) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))) (*.f64 im im)) (*.f64 im im) (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) re) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)))) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))) (*.f64 im im)) (*.f64 im im) (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) re) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal -1 binary64)) (sin.f64 re)) im))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 im (neg.f64 (*.f64 im im)))) (sin.f64 re)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) #s(approx (* (+ (* (* re re) -1/12) 1/2) re) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (pow.f64 re #s(literal 3 binary64))))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) re) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) re) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)))) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) (*.f64 #s(literal -1/2520 binary64) im)) im (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (log.f64 (exp.f64 (neg.f64 im))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 (sin.f64 re)) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im)) (sin.f64 re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im)))
(fma.f64 (exp.f64 (neg.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (*.f64 (neg.f64 (exp.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) re))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) im) (+ (* (* im im) -1/6) -1)) (*.f64 (*.f64 (sin.f64 re) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 im im)) #s(literal -1/6 binary64))) (pow.f64 im #s(literal 3 binary64)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 im (sin.f64 re)) (*.f64 im (sin.f64 re)))) (+.f64 #s(literal 0 binary64) (*.f64 im (sin.f64 re)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 (sin.f64 re)) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im)))
Calls

6 calls:

35.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
31.0ms
re
17.0ms
(sin.f64 re)
14.0ms
im
12.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
91.9%1re
99.9%2im
98.8%2(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
91.9%1(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
91.9%1(sin.f64 re)
99.9%2(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
Compiler

Compiled 25 to 28 computations (-12% saved)

regimes32.0ms (0.3%)

Memory
-3.4MiB live, 35.2MiB allocated
Counts
49 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) #s(approx (+ (* (* im im) -1/6) -1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im)) re))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 im im)) (+.f64 #s(literal 0 binary64) im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 im (*.f64 (*.f64 #s(literal -1/6 binary64) im) #s(approx (* (sin re) im) (*.f64 im re))) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) im) (*.f64 #s(literal -1/6 binary64) im) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) (*.f64 im im)) #s(literal -1/6 binary64) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (+ (* -1/3 (* im im)) -2)) im) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) #s(literal -1/12 binary64)) im) re) re))) re))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im)))) im)) re))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) im) im #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) re) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))) (*.f64 im im)) (*.f64 im im) (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) re) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)))) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))) (*.f64 im im)) (*.f64 im im) (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) re) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal -1 binary64)) (sin.f64 re)) im))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 im (neg.f64 (*.f64 im im)))) (sin.f64 re)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) #s(approx (* (+ (* (* re re) -1/12) 1/2) re) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (pow.f64 re #s(literal 3 binary64))))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) re) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) re) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)))) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) (*.f64 #s(literal -1/2520 binary64) im)) im (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (log.f64 (exp.f64 (neg.f64 im))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 (sin.f64 re)) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im)) (sin.f64 re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im)))
(fma.f64 (exp.f64 (neg.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (*.f64 (neg.f64 (exp.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) re))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) im) (+ (* (* im im) -1/6) -1)) (*.f64 (*.f64 (sin.f64 re) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 im im)) #s(literal -1/6 binary64))) (pow.f64 im #s(literal 3 binary64)))))
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
Calls

2 calls:

19.0ms
im
11.0ms
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
Results
AccuracySegmentsBranch
99.4%2im
99.4%2(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes38.0ms (0.3%)

Memory
23.7MiB live, 66.1MiB allocated
Counts
45 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) #s(approx (+ (* (* im im) -1/6) -1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im)) re))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 im im)) (+.f64 #s(literal 0 binary64) im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 im (*.f64 (*.f64 #s(literal -1/6 binary64) im) #s(approx (* (sin re) im) (*.f64 im re))) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) im) (*.f64 #s(literal -1/6 binary64) im) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) (*.f64 im im)) #s(literal -1/6 binary64) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (+ (* -1/3 (* im im)) -2)) im) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) #s(literal -1/12 binary64)) im) re) re))) re))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im)))) im)) re))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) im) im #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) re) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))) (*.f64 im im)) (*.f64 im im) (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) re) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)))) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))) (*.f64 im im)) (*.f64 im im) (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) re) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal -1 binary64)) (sin.f64 re)) im))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 im (neg.f64 (*.f64 im im)))) (sin.f64 re)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) #s(approx (* (+ (* (* re re) -1/12) 1/2) re) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (pow.f64 re #s(literal 3 binary64))))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) re) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) re) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)))) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) (*.f64 #s(literal -1/2520 binary64) im)) im (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (log.f64 (exp.f64 (neg.f64 im))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 (sin.f64 re)) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im)) (sin.f64 re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Outputs
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
Calls

3 calls:

16.0ms
im
10.0ms
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
10.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
98.4%2(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
98.3%3im
91.9%1(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
Compiler

Compiled 18 to 18 computations (0% saved)

regimes56.0ms (0.5%)

Memory
-17.5MiB live, 20.2MiB allocated
Counts
44 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) #s(approx (+ (* (* im im) -1/6) -1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im)) re))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 im im)) (+.f64 #s(literal 0 binary64) im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 im (*.f64 (*.f64 #s(literal -1/6 binary64) im) #s(approx (* (sin re) im) (*.f64 im re))) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) im) (*.f64 #s(literal -1/6 binary64) im) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) (*.f64 im im)) #s(literal -1/6 binary64) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (+ (* -1/3 (* im im)) -2)) im) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) #s(literal -1/12 binary64)) im) re) re))) re))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im)))) im)) re))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) im) im #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) re) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))) (*.f64 im im)) (*.f64 im im) (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) re) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)))) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))) (*.f64 im im)) (*.f64 im im) (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) re) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal -1 binary64)) (sin.f64 re)) im))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 im (neg.f64 (*.f64 im im)))) (sin.f64 re)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) #s(approx (* (+ (* (* re re) -1/12) 1/2) re) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (pow.f64 re #s(literal 3 binary64))))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) re) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) re) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)))) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) (*.f64 #s(literal -1/2520 binary64) im)) im (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (log.f64 (exp.f64 (neg.f64 im))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 (sin.f64 re)) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im)) (sin.f64 re)))
Outputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (log.f64 (exp.f64 (neg.f64 im))) re)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
Calls

1 calls:

54.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
98.3%2(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Compiler

Compiled 11 to 10 computations (9.1% saved)

regimes39.0ms (0.3%)

Memory
-2.7MiB live, 71.5MiB allocated
Counts
41 → 1
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) #s(approx (+ (* (* im im) -1/6) -1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im)) re))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 im im)) (+.f64 #s(literal 0 binary64) im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 im (*.f64 (*.f64 #s(literal -1/6 binary64) im) #s(approx (* (sin re) im) (*.f64 im re))) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) im) (*.f64 #s(literal -1/6 binary64) im) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) (*.f64 im im)) #s(literal -1/6 binary64) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (+ (* -1/3 (* im im)) -2)) im) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) #s(literal -1/12 binary64)) im) re) re))) re))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im)))) im)) re))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) im) im #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) re) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))) (*.f64 im im)) (*.f64 im im) (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) re) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)))) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))) (*.f64 im im)) (*.f64 im im) (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) re) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal -1 binary64)) (sin.f64 re)) im))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 im (neg.f64 (*.f64 im im)))) (sin.f64 re)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) #s(approx (* (+ (* (* re re) -1/12) 1/2) re) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (pow.f64 re #s(literal 3 binary64))))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) re) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) re) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)))) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) (*.f64 #s(literal -1/2520 binary64) im)) im (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) #s(literal -1/60 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im)))
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
Calls

3 calls:

16.0ms
im
12.0ms
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
9.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
91.9%1(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
91.9%1im
91.9%1(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Compiler

Compiled 18 to 18 computations (0% saved)

regimes97.0ms (0.9%)

Memory
-15.4MiB live, 112.6MiB allocated
Counts
34 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) #s(approx (+ (* (* im im) -1/6) -1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im)) re))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 im im)) (+.f64 #s(literal 0 binary64) im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 im (*.f64 (*.f64 #s(literal -1/6 binary64) im) #s(approx (* (sin re) im) (*.f64 im re))) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) im) (*.f64 #s(literal -1/6 binary64) im) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) (*.f64 im im)) #s(literal -1/6 binary64) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (+ (* -1/3 (* im im)) -2)) im) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) #s(literal -1/12 binary64)) im) re) re))) re))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im)))) im)) re))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) im) im #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) re) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))) (*.f64 im im)) (*.f64 im im) (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) re) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)))) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))) (*.f64 im im)) (*.f64 im im) (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) re) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal -1 binary64)) (sin.f64 re)) im))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 im (neg.f64 (*.f64 im im)))) (sin.f64 re)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
Outputs
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
Calls

6 calls:

28.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
10.0ms
(sin.f64 re)
10.0ms
re
10.0ms
im
10.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
90.0%1re
90.0%1im
90.0%1(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
90.0%1(sin.f64 re)
93.0%2(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
90.0%1(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
Compiler

Compiled 25 to 28 computations (-12% saved)

regimes10.0ms (0.1%)

Memory
24.2MiB live, 24.2MiB allocated
Counts
33 → 3
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) #s(approx (+ (* (* im im) -1/6) -1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im)) re))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 im im)) (+.f64 #s(literal 0 binary64) im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 im (*.f64 (*.f64 #s(literal -1/6 binary64) im) #s(approx (* (sin re) im) (*.f64 im re))) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) im) (*.f64 #s(literal -1/6 binary64) im) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) (*.f64 im im)) #s(literal -1/6 binary64) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (+ (* -1/3 (* im im)) -2)) im) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) #s(literal -1/12 binary64)) im) re) re))) re))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im)))) im)) re))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) im) im #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) re) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))) (*.f64 im im)) (*.f64 im im) (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) re) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)))) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))) (*.f64 im im)) (*.f64 im im) (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) re) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal -1 binary64)) (sin.f64 re)) im))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 im (neg.f64 (*.f64 im im)))) (sin.f64 re)))
Outputs
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
Calls

1 calls:

8.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
94.4%3(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Compiler

Compiled 11 to 10 computations (9.1% saved)

regimes11.0ms (0.1%)

Memory
-15.6MiB live, 21.8MiB allocated
Counts
28 → 3
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) #s(approx (+ (* (* im im) -1/6) -1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im)) re))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 im im)) (+.f64 #s(literal 0 binary64) im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 im (*.f64 (*.f64 #s(literal -1/6 binary64) im) #s(approx (* (sin re) im) (*.f64 im re))) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) im) (*.f64 #s(literal -1/6 binary64) im) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) (*.f64 im im)) #s(literal -1/6 binary64) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (+ (* -1/3 (* im im)) -2)) im) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) #s(literal -1/12 binary64)) im) re) re))) re))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im)))) im)) re))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) im) im #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) re) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))) (*.f64 im im)) (*.f64 im im) (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) re) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)))) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))) (*.f64 im im)) (*.f64 im im) (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) re) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re)))
Outputs
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
Calls

1 calls:

9.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
94.4%3(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Compiler

Compiled 11 to 10 computations (9.1% saved)

regimes54.0ms (0.5%)

Memory
33.3MiB live, 111.9MiB allocated
Counts
27 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) #s(approx (+ (* (* im im) -1/6) -1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im)) re))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 im im)) (+.f64 #s(literal 0 binary64) im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 im (*.f64 (*.f64 #s(literal -1/6 binary64) im) #s(approx (* (sin re) im) (*.f64 im re))) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) im) (*.f64 #s(literal -1/6 binary64) im) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) (*.f64 im im)) #s(literal -1/6 binary64) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (+ (* -1/3 (* im im)) -2)) im) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) #s(literal -1/12 binary64)) im) re) re))) re))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im)))) im)) re))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) im) im #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) re) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))) (*.f64 im im)) (*.f64 im im) (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) re) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)))) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) re) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))) (*.f64 im im)) (*.f64 im im) (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) re) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) im)))
Outputs
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re)))
Calls

6 calls:

11.0ms
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
9.0ms
(sin.f64 re)
9.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
8.0ms
re
8.0ms
im
Results
AccuracySegmentsBranch
58.6%1re
69.3%2(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
69.3%2(sin.f64 re)
60.6%2im
58.6%1(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
69.2%2(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Compiler

Compiled 25 to 28 computations (-12% saved)

regimes32.0ms (0.3%)

Memory
-5.2MiB live, 31.8MiB allocated
Counts
24 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) #s(approx (+ (* (* im im) -1/6) -1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im)) re))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 im im)) (+.f64 #s(literal 0 binary64) im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 im (*.f64 (*.f64 #s(literal -1/6 binary64) im) #s(approx (* (sin re) im) (*.f64 im re))) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) im) (*.f64 #s(literal -1/6 binary64) im) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) (*.f64 im im)) #s(literal -1/6 binary64) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (+ (* -1/3 (* im im)) -2)) im) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) #s(literal -1/12 binary64)) im) re) re))) re))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im)))) im)) re))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) im) im #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
Outputs
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
Calls

2 calls:

8.0ms
(sin.f64 re)
8.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
Results
AccuracySegmentsBranch
69.2%2(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
69.2%2(sin.f64 re)
Compiler

Compiled 6 to 8 computations (-33.3% saved)

regimes39.0ms (0.4%)

Memory
3.9MiB live, 42.4MiB allocated
Counts
23 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) #s(approx (+ (* (* im im) -1/6) -1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im)) re))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 im im)) (+.f64 #s(literal 0 binary64) im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 im (*.f64 (*.f64 #s(literal -1/6 binary64) im) #s(approx (* (sin re) im) (*.f64 im re))) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) im) (*.f64 #s(literal -1/6 binary64) im) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) (*.f64 im im)) #s(literal -1/6 binary64) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (+ (* -1/3 (* im im)) -2)) im) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) #s(literal -1/12 binary64)) im) re) re))) re))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im)))) im)) re))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) im) im #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re))
Outputs
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
Calls

3 calls:

25.0ms
(sin.f64 re)
7.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
6.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
68.8%2(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
68.8%2(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
68.8%2(sin.f64 re)
Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes42.0ms (0.4%)

Memory
-21.4MiB live, 30.1MiB allocated
Counts
20 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) #s(approx (+ (* (* im im) -1/6) -1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im)) re))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 im im)) (+.f64 #s(literal 0 binary64) im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 im (*.f64 (*.f64 #s(literal -1/6 binary64) im) #s(approx (* (sin re) im) (*.f64 im re))) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) im) (*.f64 #s(literal -1/6 binary64) im) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) (*.f64 im im)) #s(literal -1/6 binary64) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (+ (* -1/3 (* im im)) -2)) im) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) #s(literal -1/12 binary64)) im) re) re))) re))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im)))) im)) re))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) im) im #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
Outputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im)))) im)) re))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
Calls

3 calls:

29.0ms
(sin.f64 re)
6.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
5.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
68.4%2(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
68.5%2(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
68.5%2(sin.f64 re)
Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes18.0ms (0.2%)

Memory
-18.2MiB live, 21.2MiB allocated
Counts
16 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) #s(approx (+ (* (* im im) -1/6) -1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im)) re))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 im im)) (+.f64 #s(literal 0 binary64) im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 im (*.f64 (*.f64 #s(literal -1/6 binary64) im) #s(approx (* (sin re) im) (*.f64 im re))) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) im) (*.f64 #s(literal -1/6 binary64) im) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) (*.f64 im im)) #s(literal -1/6 binary64) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (+ (* -1/3 (* im im)) -2)) im) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) #s(literal -1/12 binary64)) im) re) re))) re))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im)))) im)) re))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) im) im #s(literal -2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
Outputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im)))) im)) re))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) im) im #s(literal -2 binary64)) im)))
Calls

3 calls:

6.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
5.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
5.0ms
(sin.f64 re)
Results
AccuracySegmentsBranch
67.7%2(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
67.7%2(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
67.7%2(sin.f64 re)
Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes15.0ms (0.1%)

Memory
23.1MiB live, 23.1MiB allocated
Counts
14 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) #s(approx (+ (* (* im im) -1/6) -1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im)) re))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 im im)) (+.f64 #s(literal 0 binary64) im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 im (*.f64 (*.f64 #s(literal -1/6 binary64) im) #s(approx (* (sin re) im) (*.f64 im re))) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) im) (*.f64 #s(literal -1/6 binary64) im) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) (*.f64 im im)) #s(literal -1/6 binary64) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (+ (* -1/3 (* im im)) -2)) im) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) #s(literal -1/12 binary64)) im) re) re))) re))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im)))) im)) re))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re))
Outputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re)))
Calls

3 calls:

5.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
5.0ms
(sin.f64 re)
4.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
62.4%2(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
64.1%2(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
64.1%2(sin.f64 re)
Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes18.0ms (0.2%)

Memory
-22.2MiB live, 16.8MiB allocated
Counts
13 → 3
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) #s(approx (+ (* (* im im) -1/6) -1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im)) re))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 im im)) (+.f64 #s(literal 0 binary64) im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 im (*.f64 (*.f64 #s(literal -1/6 binary64) im) #s(approx (* (sin re) im) (*.f64 im re))) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) im) (*.f64 #s(literal -1/6 binary64) im) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) (*.f64 im im)) #s(literal -1/6 binary64) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (+ (* -1/3 (* im im)) -2)) im) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) #s(literal -1/12 binary64)) im) re) re))) re))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im)))) im)) re))
Outputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im)))) im)) re))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re)))
Calls

2 calls:

13.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
5.0ms
(sin.f64 re)
Results
AccuracySegmentsBranch
64.1%3(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
64.1%3(sin.f64 re)
Compiler

Compiled 6 to 8 computations (-33.3% saved)

regimes10.0ms (0.1%)

Memory
16.7MiB live, 16.7MiB allocated
Counts
12 → 3
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) #s(approx (+ (* (* im im) -1/6) -1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im)) re))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 im im)) (+.f64 #s(literal 0 binary64) im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 im (*.f64 (*.f64 #s(literal -1/6 binary64) im) #s(approx (* (sin re) im) (*.f64 im re))) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) im) (*.f64 #s(literal -1/6 binary64) im) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) (*.f64 im im)) #s(literal -1/6 binary64) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (+ (* -1/3 (* im im)) -2)) im) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) #s(literal -1/12 binary64)) im) re) re))) re))
Outputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (+ (* -1/3 (* im im)) -2)) im) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) #s(literal -1/12 binary64)) im) re) re))) re))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re)))
Calls

2 calls:

4.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
4.0ms
(sin.f64 re)
Results
AccuracySegmentsBranch
64.1%3(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
64.1%3(sin.f64 re)
Compiler

Compiled 6 to 8 computations (-33.3% saved)

regimes12.0ms (0.1%)

Memory
15.7MiB live, 15.7MiB allocated
Counts
11 → 3
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) #s(approx (+ (* (* im im) -1/6) -1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im)) re))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 im im)) (+.f64 #s(literal 0 binary64) im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 im (*.f64 (*.f64 #s(literal -1/6 binary64) im) #s(approx (* (sin re) im) (*.f64 im re))) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) im) (*.f64 #s(literal -1/6 binary64) im) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) (*.f64 im im)) #s(literal -1/6 binary64) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re)))
Outputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im)) re))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re)))
Calls

3 calls:

4.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
4.0ms
(sin.f64 re)
3.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
61.7%2(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
63.3%3(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
63.3%3(sin.f64 re)
Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes93.0ms (0.8%)

Memory
-29.4MiB live, 9.9MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) #s(approx (+ (* (* im im) -1/6) -1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im)) re))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 im im)) (+.f64 #s(literal 0 binary64) im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 im (*.f64 (*.f64 #s(literal -1/6 binary64) im) #s(approx (* (sin re) im) (*.f64 im re))) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) im) (*.f64 #s(literal -1/6 binary64) im) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (fma.f64 (*.f64 #s(approx (* (sin re) im) (*.f64 im re)) (*.f64 im im)) #s(literal -1/6 binary64) (neg.f64 #s(approx (* (sin re) im) (*.f64 im re)))))
Outputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im)) re))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
Calls

2 calls:

88.0ms
(sin.f64 re)
4.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
Results
AccuracySegmentsBranch
61.7%2(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
61.7%2(sin.f64 re)
Compiler

Compiled 6 to 8 computations (-33.3% saved)

regimes15.0ms (0.1%)

Memory
19.1MiB live, 19.1MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) #s(approx (+ (* (* im im) -1/6) -1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im)) re))
Outputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im)) re))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
Calls

6 calls:

3.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
3.0ms
(sin.f64 re)
2.0ms
re
2.0ms
im
2.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
47.5%1(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
47.5%1re
47.5%1im
56.6%2(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
56.6%2(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
56.6%2(sin.f64 re)
Compiler

Compiled 25 to 28 computations (-12% saved)

regimes18.0ms (0.2%)

Memory
-25.9MiB live, 15.9MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) #s(approx (+ (* (* im im) -1/6) -1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
Outputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
Calls

4 calls:

11.0ms
re
2.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
2.0ms
(sin.f64 re)
2.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
47.5%1re
47.5%1(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
47.5%1(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
47.5%1(sin.f64 re)
Compiler

Compiled 18 to 20 computations (-11.1% saved)

regimes10.0ms (0.1%)

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

6 calls:

2.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
2.0ms
re
2.0ms
(sin.f64 re)
2.0ms
im
1.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
47.5%2im
47.5%2(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
36.0%1(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
36.0%1(sin.f64 re)
47.5%2(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
36.0%1re
Compiler

Compiled 25 to 28 computations (-12% saved)

regimes8.0ms (0.1%)

Memory
17.7MiB live, 17.7MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))
Outputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))
Calls

6 calls:

1.0ms
(sin.f64 re)
1.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
1.0ms
re
1.0ms
im
1.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
29.7%1re
29.7%1(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
29.7%1(sin.f64 re)
29.7%1im
29.7%1(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
29.7%1(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Compiler

Compiled 25 to 28 computations (-12% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-5.450371981106709
-9.161150782421856e-8
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-71966.81103306705
-5.450371981106709
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-3.929620773969073
-1.9957061409064658
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-inf
-3.929620773969073
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-3.929620773969073
-1.9957061409064658
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch14.0ms (0.1%)

Memory
-37.5MiB live, 1.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
+inf
0.0ms
-3.929620773969073
-1.9957061409064658
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
+inf
0.0ms
-3.929620773969073
-1.9957061409064658
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0001092064721935089
0.07064005308801986
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.2464955630971266
-0.2378734781619475
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.2464955630971266
-0.2378734781619475
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.2378734781619475
-0.1784143686588874
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.2378734781619475
-0.1784143686588874
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0001092064721935089
0.07064005308801986
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.9842308564150816e-8
1.335349777693888e-7
0.0ms
-0.2378734781619475
-0.1784143686588874
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.9842308564150816e-8
1.335349777693888e-7
0.0ms
-0.2378734781619475
-0.1784143686588874
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.9842308564150816e-8
1.335349777693888e-7
0.0ms
-0.2378734781619475
-0.1784143686588874
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.2378734781619475
-0.1784143686588874
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.2378734781619475
-0.1784143686588874
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.1763932009859457e-17
-4.0237378653227358e-84
Compiler

Compiled 14 to 15 computations (-7.1% saved)

simplify61.0ms (0.5%)

Memory
6.7MiB live, 46.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01811683
12451683
22691683
32851683
42931683
52951683
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -5 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 (sin.f64 re)) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im))))
(if (<=.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -50000 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -2 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (log.f64 (exp.f64 (neg.f64 im))) re))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -2 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -2 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 0 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -2 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 0 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re))) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))))
(if (<=.f64 (sin.f64 re) #s(literal 7378697629483821/36893488147419103232 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))))
(if (<=.f64 (sin.f64 re) #s(literal -1080863910568919/4503599627370496 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))))
(if (<=.f64 (sin.f64 re) #s(literal -1080863910568919/4503599627370496 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))))
(if (<=.f64 (sin.f64 re) #s(literal -3602879701896397/18014398509481984 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im)))) im)) re)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))))
(if (<=.f64 (sin.f64 re) #s(literal -3602879701896397/18014398509481984 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im)))) im)) re)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) im) im #s(literal -2 binary64)) im))))
(if (<=.f64 (sin.f64 re) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)) re)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re))))
(if (<=.f64 (sin.f64 re) #s(literal -3602879701896397/18014398509481984 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im)))) im)) re)) (if (<=.f64 (sin.f64 re) #s(literal 944473296573929/18889465931478580854784 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im))) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re)))))
(if (<=.f64 (sin.f64 re) #s(literal -3602879701896397/18014398509481984 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) #s(approx (* (* (+ (* (* re re) -1/12) 1/2) (+ (* -1/3 (* im im)) -2)) im) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) #s(literal -1/12 binary64)) im) re) re))) re)) (if (<=.f64 (sin.f64 re) #s(literal 944473296573929/18889465931478580854784 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im))) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re)))))
(if (<=.f64 (sin.f64 re) #s(literal -3602879701896397/18014398509481984 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im)) re)) (if (<=.f64 (sin.f64 re) #s(literal 944473296573929/18889465931478580854784 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im))) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 re re) (neg.f64 im)) re)))))
(if (<=.f64 (sin.f64 re) #s(literal -3602879701896397/18014398509481984 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im)) re)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im))))
(if (<=.f64 (sin.f64 re) #s(literal -3602879701896397/18014398509481984 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (+ (* (* re re) -1/12) 1/2) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im)) re)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -6490371073168535/649037107316853453566312041152512 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) #s(approx (+ (* (* im im) -1/6) -1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64))))) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))
Outputs
(if (<=.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -5 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 (sin.f64 re)) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im))))
(if (<=.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -5 binary64)) (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im) (neg.f64 (sin.f64 re)))))
(if (<=.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -50000 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))))
(if (<=.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -50000 binary64)) (*.f64 (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (*.f64 #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -2 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))))
(if (<=.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -2 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (log.f64 (exp.f64 (neg.f64 im))) re))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))))
(if (<=.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (log.f64 (exp.f64 (neg.f64 im))) re))) (*.f64 #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -2 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))))
(if (<=.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -2 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) (*.f64 #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -2 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 0 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))))
(if (<=.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -2 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) (if (<=.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 0 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) (*.f64 (sin.f64 re) im))) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))))
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#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) #s(approx (* (sin re) im) (*.f64 re im))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -6490371073168535/649037107316853453566312041152512 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) #s(approx (+ (* (* im im) -1/6) -1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64))))) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re))))
(if (<=.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -6490371073168535/649037107316853453566312041152512 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (+ (* (* im im) -1/6) -1) (*.f64 #s(literal -1/6 binary64) (*.f64 im im))) #s(approx (* (sin re) im) (*.f64 re im)))) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 re (neg.f64 im)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 re (neg.f64 im))))

soundness2.5s (22%)

Memory
4.0MiB live, 1 314.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02491127
1823978
22974934
37845934
08325857
03942310
113542049
252651851
090951699
062468
0103468
1346468
22283468
08302465
0146434
1413399
21136387
33928366
46803366
08425328
04022551
114092378
256552094
088071912
066574
0113574
1406538
22370538
08067538
Stop Event
fuel
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 2 507 to 893 computations (64.4% saved)

preprocess316.0ms (2.8%)

Memory
10.2MiB live, 406.3MiB allocated
Remove

(negabs re)

Compiler

Compiled 4 478 to 1 122 computations (74.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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