math.cos on complex, imaginary part

Time bar (total: 10.4s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB 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)

sample2.1s (20.3%)

Memory
-1.1MiB live, 2 611.7MiB allocated
Samples
669.0ms1 074×2valid
608.0ms2 857×1valid
483.0ms4 325×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.4s
ival-exp: 642.0ms (45.7% of total)
ival-sin: 334.0ms (23.8% of total)
ival-mult: 204.0ms (14.5% of total)
adjust: 93.0ms (6.6% of total)
ival-sub: 78.0ms (5.6% of total)
ival-neg: 37.0ms (2.6% of total)
ival-true: 6.0ms (0.4% of total)
exact: 6.0ms (0.4% of total)
ival-assert: 4.0ms (0.3% of total)
Bogosity

explain358.0ms (3.4%)

Memory
2.9MiB live, 247.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1340-0-(-.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))cancellation1340
Confusion
Predicted +Predicted -
+1010
-33122
Precision
0.753731343283582
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+10100
-330122
Precision?
0.753731343283582
Recall?
1.0
Freqs
test
numberfreq
0122
1134
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
56.0ms116×2valid
30.0ms142×1valid
26.0ms252×0valid
1.0ms3valid
Compiler

Compiled 114 to 44 computations (61.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 87.0ms
ival-exp: 49.0ms (56.3% of total)
ival-sin: 13.0ms (14.9% of total)
ival-mult: 10.0ms (11.5% of total)
adjust: 6.0ms (6.9% of total)
ival-sub: 5.0ms (5.7% 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)

preprocess146.0ms (1.4%)

Memory
38.5MiB live, 105.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02561
17057
223655
382555
4209255
5305055
6346655
7380755
8383255
9383255
10383255
11386455
12387055
13387055
01011
01711
12911
25711
312111
421811
535811
652111
792911
8125911
9156011
10159811
11162111
12162311
13162311
0162311
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
0.7MiB live, 0.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.6%
(*.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)

simplify59.0ms (0.6%)

Memory
-56.3MiB live, 8.1MiB 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
535833
652133
792933
8125933
9156033
10159833
11162133
12162333
13162333
0162333
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)

localize80.0ms (0.8%)

Memory
10.4MiB live, 49.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(exp.f64 im)
accuracy0.00390625
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
accuracy0.07421875
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
accuracy30.771106003767624
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
Samples
28.0ms126×0valid
27.0ms58×2valid
15.0ms71×1valid
0.0ms3valid
Compiler

Compiled 68 to 22 computations (67.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
ival-exp: 23.0ms (39.6% of total)
ival-sin: 21.0ms (36.2% of total)
ival-mult: 5.0ms (8.6% of total)
ival-sub: 4.0ms (6.9% of total)
adjust: 3.0ms (5.2% of total)
ival-neg: 1.0ms (1.7% 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
9.0MiB live, 9.0MiB allocated
Counts
5 → 31
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)
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))))))
(- (exp (neg im)) (exp im))
(exp im)
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(- (exp (* -1 im)) (exp 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))
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))
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))
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))
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))

simplify371.0ms (3.6%)

Memory
2.2MiB live, 228.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0136402
1387368
21088356
33808335
46623335
08442302
Stop Event
iter limit
node limit
Counts
31 → 30
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))))))
(- (exp (neg im)) (exp im))
(exp im)
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(- (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)) (-.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 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.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 (- (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 (*.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)
(* 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 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
#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))
(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))

rewrite98.0ms (0.9%)

Memory
12.1MiB live, 101.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01025
01725
14225
223725
0227725
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
5 → 135
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)
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))))
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eval18.0ms (0.2%)

Memory
1.9MiB live, 40.7MiB allocated
Compiler

Compiled 4 251 to 548 computations (87.1% saved)

prune15.0ms (0.1%)

Memory
-14.0MiB live, 24.8MiB allocated
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1549163
Fresh000
Picked011
Done000
Total15410164
Accuracy
99.9%
Counts
164 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
17.7%
(*.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))))
64.6%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
93.9%
(*.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)))
90.2%
(*.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)))
83.6%
(*.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)))
54.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 #s(literal -2 binary64) im)))
51.9%
(*.f64 #s(approx (* 1/2 (sin re)) (*.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)))
51.4%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
89.8%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.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))))
54.0%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 (sin.f64 re)) im))
Compiler

Compiled 387 to 302 computations (22% saved)

simplify185.0ms (1.8%)

Memory
23.7MiB live, 99.1MiB 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)) 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)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
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 #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 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
cost-diff0
(sin.f64 re)
cost-diff0
(neg.f64 (sin.f64 re))
cost-diff0
(*.f64 (neg.f64 (sin.f64 re)) im)
cost-diff0
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 (sin.f64 re)) im))
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
043323
075323
1124323
2236323
3469323
4938323
51676323
62184323
72665323
83072323
93525323
103619323
113796323
124114323
134397323
146016323
157712323
08040323
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 (sin.f64 re)) im))
(*.f64 (neg.f64 (sin.f64 re)) im)
(neg.f64 (sin.f64 re))
(sin.f64 re)
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 #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 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im))
(*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)
(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 #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)
(*.f64 #s(approx (* 1/2 (sin re)) (*.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)))
#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)
(-.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 (sin.f64 re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re)))
(*.f64 (neg.f64 (sin.f64 re)) im)
(*.f64 (neg.f64 im) (sin.f64 re))
(neg.f64 (sin.f64 re))
(sin.f64 re)
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 #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #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 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im))
(*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)
(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 #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)
(*.f64 #s(approx (* 1/2 (sin re)) (*.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)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.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)))
#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 #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)
(*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #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 -1/12 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)

localize282.0ms (2.7%)

Memory
-28.7MiB live, 289.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.07421875
(*.f64 #s(approx (* 1/2 (sin re)) (*.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)))
accuracy0.10546875
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
accuracy30.771106003767624
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
accuracy30.887527646289975
#s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re))
accuracy0.0
(exp.f64 im)
accuracy0.07421875
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
accuracy30.703796428935426
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
accuracy30.771106003767624
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
accuracy0.046875
(*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)
accuracy0.07421875
(*.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)))
accuracy0.078125
(fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))
accuracy10.299763139626712
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im))
accuracy0.0
(sin.f64 re)
accuracy0.0
(neg.f64 (sin.f64 re))
accuracy0.14453125
(*.f64 (neg.f64 (sin.f64 re)) im)
accuracy29.380197752596807
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 (sin.f64 re)) im))
accuracy0.046875
(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))
accuracy0.05078125
(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))
accuracy0.07421875
(*.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)))
accuracy3.772830408735292
#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
121.0ms126×0valid
75.0ms58×2valid
43.0ms71×1valid
1.0ms3valid
Compiler

Compiled 573 to 79 computations (86.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 189.0ms
ival-mult: 68.0ms (35.9% of total)
const: 64.0ms (33.8% of total)
ival-exp: 25.0ms (13.2% of total)
adjust: 10.0ms (5.3% of total)
ival-add: 9.0ms (4.8% of total)
ival-sin: 8.0ms (4.2% of total)
ival-sub: 2.0ms (1.1% of total)
ival-neg: 2.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series14.0ms (0.1%)

Memory
29.3MiB live, 29.3MiB allocated
Counts
22 → 63
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 (sin.f64 re)) im))
(*.f64 (neg.f64 (sin.f64 re)) im)
(neg.f64 (sin.f64 re))
(*.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)))
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #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))
(*.f64 #s(approx (* 1/2 (sin re)) (*.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)))
#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 #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 #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)) im)
(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 re)
(* re (- (* 1/6 (pow re 2)) 1))
(* re (- (* (pow re 2) (+ 1/6 (* -1/120 (pow re 2)))) 1))
(* re (- (* (pow re 2) (+ 1/6 (* (pow re 2) (- (* 1/5040 (pow re 2)) 1/120)))) 1))
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 (sin re))
(* -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))
(* -1 (* (pow re 3) (- 1/12 (* 1/2 (/ 1 (pow re 2))))))
(* 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))
-1/60
(- (* -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)
1
(+ 1 im)
(+ 1 (* im (+ 1 (* 1/2 im))))
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))
(- (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))
(* -1/3 (pow im 2))
(* -1 (* (pow im 2) (+ 1/3 (* 2 (/ 1 (pow im 2))))))
(* -1/3 (pow im 3))
(* -1 (* (pow im 3) (+ 1/3 (* 2 (/ 1 (pow im 2))))))
(exp im)
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(- (exp (* -1 im)) (exp im))
Calls

6 calls:

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

simplify228.0ms (2.2%)

Memory
-16.8MiB live, 177.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0208677
1629634
21954624
34197613
47123613
08141557
Stop Event
iter limit
node limit
Counts
63 → 62
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 re)
(* re (- (* 1/6 (pow re 2)) 1))
(* re (- (* (pow re 2) (+ 1/6 (* -1/120 (pow re 2)))) 1))
(* re (- (* (pow re 2) (+ 1/6 (* (pow re 2) (- (* 1/5040 (pow re 2)) 1/120)))) 1))
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 (sin re))
(* -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))
(* -1 (* (pow re 3) (- 1/12 (* 1/2 (/ 1 (pow re 2))))))
(* 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))
-1/60
(- (* -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)
1
(+ 1 im)
(+ 1 (* im (+ 1 (* 1/2 im))))
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))
(- (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))
(* -1/3 (pow im 2))
(* -1 (* (pow im 2) (+ 1/3 (* 2 (/ 1 (pow im 2))))))
(* -1/3 (pow im 3))
(* -1 (* (pow im 3) (+ 1/3 (* 2 (/ 1 (pow im 2))))))
(exp im)
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(- (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 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) 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 (fma.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (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) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (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 re) im)
(* re (+ (* -1 im) (* 1/6 (* im (pow re 2)))))
(*.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #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 (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 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)))) re)
(* -1 re)
(neg.f64 re)
(* re (- (* 1/6 (pow re 2)) 1))
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) re)
(* re (- (* (pow re 2) (+ 1/6 (* -1/120 (pow re 2)))) 1))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) re)
(* re (- (* (pow re 2) (+ 1/6 (* (pow re 2) (- (* 1/5040 (pow re 2)) 1/120)))) 1))
(*.f64 (fma.f64 (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)) (*.f64 re re) #s(literal -1 binary64)) re)
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 (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sin.f64 re))
(* 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 (sin re))
(neg.f64 (sin.f64 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)
(* -1 (* (pow re 3) (- 1/12 (* 1/2 (/ 1 (pow re 2))))))
(*.f64 (-.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 (*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im)
(* 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)))))))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)) #s(literal -1/6 binary64))) (*.f64 (neg.f64 (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)
-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))
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))
(* -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))))))
(fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/2520 binary64) (*.f64 #s(literal -1/60 binary64) (*.f64 im im)))
(* (pow im 4) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(fma.f64 (-.f64 #s(literal -1/60 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 im im))) (*.f64 im im) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/2520 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 3))
(*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/3 binary64))
(* -1 (* (pow im 3) (+ 1/3 (* 2 (/ 1 (pow im 2))))))
(*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)
(exp im)
(exp.f64 im)
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sin.f64 re))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite172.0ms (1.7%)

Memory
12.1MiB live, 206.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043233
075233
1206233
21184233
08224233
Stop Event
iter limit
node limit
iter limit
Counts
22 → 403
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 (sin.f64 re)) im))
(*.f64 (neg.f64 (sin.f64 re)) im)
(neg.f64 (sin.f64 re))
(*.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)))
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #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))
(*.f64 #s(approx (* 1/2 (sin re)) (*.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)))
#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 #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 #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)) im)
(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))
(*.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))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 re) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (neg.f64 (sin.f64 re)))
(sin.f64 re)
(+.f64 #s(literal 0 binary64) (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 (neg.f64 im) (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 (neg.f64 (sin.f64 re)) im)
(*.f64 im (neg.f64 (sin.f64 re)))
(*.f64 (sin.f64 re) (neg.f64 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 #s(literal 0 binary64) (pow.f64 (*.f64 im (sin.f64 re)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 im (sin.f64 re)) (*.f64 im (sin.f64 re)) (*.f64 #s(literal 0 binary64) (*.f64 im (sin.f64 re))))))
(neg.f64 (*.f64 im (sin.f64 re)))
(fma.f64 im #s(literal 0 binary64) (*.f64 (neg.f64 im) (sin.f64 re)))
(fma.f64 (sin.f64 re) #s(literal 0 binary64) (*.f64 (neg.f64 im) (sin.f64 re)))
(-.f64 #s(literal 0 binary64) (*.f64 im (sin.f64 re)))
(+.f64 (*.f64 im #s(literal 0 binary64)) (*.f64 (neg.f64 im) (sin.f64 re)))
(+.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (neg.f64 im) (sin.f64 re)))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 im) (sin.f64 re)))
(*.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 re)))
(*.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 re) (sin.f64 re) #s(literal 0 binary64))))
(*.f64 #s(literal -1 binary64) (sin.f64 re))
(*.f64 (sin.f64 re) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (sin.f64 re)) (neg.f64 (sin.f64 re)))) (-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 re))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (sin.f64 re)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (neg.f64 (sin.f64 re)) (neg.f64 (sin.f64 re))) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 re))))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64)))) (neg.f64 (sin.f64 re)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sin.f64 re) (sin.f64 re) #s(literal 0 binary64))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (sin.f64 re))
(/.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 3 binary64))) (fma.f64 (sin.f64 re) (sin.f64 re) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 re) (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 re) (sin.f64 re) #s(literal 0 binary64)) (neg.f64 (pow.f64 (sin.f64 re) #s(literal 3 binary64)))))
(neg.f64 (sin.f64 re))
(-.f64 (/.f64 #s(literal 0 binary64) (sin.f64 re)) (/.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64)) (sin.f64 re)))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 re) (sin.f64 re) #s(literal 0 binary64))) (/.f64 (pow.f64 (sin.f64 re) #s(literal 3 binary64)) (fma.f64 (sin.f64 re) (sin.f64 re) #s(literal 0 binary64))))
(-.f64 #s(literal 0 binary64) (sin.f64 re))
(+.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 re)))
(*.f64 (*.f64 #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #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 #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 #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 #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 #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 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)) (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 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) #s(approx (* 1/2 (sin re)) (*.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))) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))) (pow.f64 (+.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(approx (* 1/2 (sin re)) (*.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)))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(approx (* 1/2 (sin re)) (*.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)))) (pow.f64 (+.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 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 (-.f64 (*.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))) (*.f64 (exp.f64 (neg.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))))) (*.f64 (*.f64 (neg.f64 (exp.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)))))) (-.f64 (*.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))))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (exp.f64 im)) (/.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (exp.f64 im))) (*.f64 (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (neg.f64 (exp.f64 im))) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (neg.f64 (exp.f64 im))))) (-.f64 (/.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (exp.f64 im)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (neg.f64 (exp.f64 im)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (exp.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))) (*.f64 (exp.f64 (neg.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))) (-.f64 (*.f64 (*.f64 (neg.f64 (exp.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))))) (*.f64 (*.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))))))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (exp.f64 im)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (neg.f64 (exp.f64 im))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (exp.f64 im)) (/.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (exp.f64 im)) (-.f64 (*.f64 (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (neg.f64 (exp.f64 im))) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (neg.f64 (exp.f64 im)))) (*.f64 (/.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (exp.f64 im)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (neg.f64 (exp.f64 im)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) #s(approx (* 1/2 (sin re)) (*.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))) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))))) (neg.f64 (+.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(approx (* 1/2 (sin re)) (*.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))))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
(/.f64 (neg.f64 (*.f64 #s(approx (* 1/2 (sin re)) (*.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))))) (neg.f64 (+.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
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(/.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))))
(/.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal -8 binary64)) (+.f64 #s(literal 4 binary64) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) (*.f64 (*.f64 im im) #s(literal -2/3 binary64)))))
(/.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal -8 binary64)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 im im) #s(literal 2/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) (-.f64 #s(literal 4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) (*.f64 (*.f64 im im) #s(literal -2/3 binary64)))) (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal -8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64))
(fma.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64)) (pow.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal 2 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -4 binary64) (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))
(fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64))
(fma.f64 im (*.f64 #s(literal -1/3 binary64) im) #s(literal -2 binary64))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal -2 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 im im)))) (/.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64)) (-.f64 #s(literal -2 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 im im)))))
(-.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal 2 binary64))) (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 im im) #s(literal -2 binary64))))
(+.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))))
(+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal -2 binary64))
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 im im)))
(*.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im) (pow.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal -8 binary64)) im) (pow.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 im im) #s(literal 2/3 binary64)))) #s(literal -1 binary64)))
(*.f64 (*.f64 im (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64))) (pow.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 im (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal -8 binary64))) (pow.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 im im) #s(literal 2/3 binary64)))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)
(*.f64 im (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) im) (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) im)) (*.f64 (*.f64 #s(literal -2 binary64) im) (*.f64 #s(literal -2 binary64) im))) (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) im) (*.f64 #s(literal -2 binary64) im)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) im) (*.f64 #s(literal -2 binary64) im)) (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) im) (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) im))) (-.f64 (*.f64 #s(literal -2 binary64) im) (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) im)))
(/.f64 (-.f64 (*.f64 (*.f64 im (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) (*.f64 im (*.f64 #s(literal -1/3 binary64) (*.f64 im im)))) (*.f64 (*.f64 im #s(literal -2 binary64)) (*.f64 im #s(literal -2 binary64)))) (-.f64 (*.f64 im (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) (*.f64 im #s(literal -2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 im #s(literal -2 binary64)) (*.f64 im #s(literal -2 binary64))) (*.f64 (*.f64 im (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) (*.f64 im (*.f64 #s(literal -1/3 binary64) (*.f64 im im))))) (-.f64 (*.f64 im #s(literal -2 binary64)) (*.f64 im (*.f64 #s(literal -1/3 binary64) (*.f64 im im)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) im) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) im) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) im) (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) im) (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) im) (*.f64 #s(literal -2 binary64) im)) (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) im) (*.f64 #s(literal -2 binary64) im)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -2 binary64) im) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) im) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -2 binary64) im) (*.f64 #s(literal -2 binary64) im) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) im) (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) im)) (*.f64 (*.f64 #s(literal -2 binary64) im) (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) im)))))
(/.f64 (+.f64 (pow.f64 (*.f64 im (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) #s(literal 3 binary64)) (pow.f64 (*.f64 im #s(literal -2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 im (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) (*.f64 im (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) (-.f64 (*.f64 (*.f64 im #s(literal -2 binary64)) (*.f64 im #s(literal -2 binary64))) (*.f64 (*.f64 im (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) (*.f64 im #s(literal -2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 im #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 im (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) #s(literal 3 binary64))) (fma.f64 (*.f64 im #s(literal -2 binary64)) (*.f64 im #s(literal -2 binary64)) (-.f64 (*.f64 (*.f64 im (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) (*.f64 im (*.f64 #s(literal -1/3 binary64) (*.f64 im im)))) (*.f64 (*.f64 im #s(literal -2 binary64)) (*.f64 im (*.f64 #s(literal -1/3 binary64) (*.f64 im im)))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im)) (fma.f64 #s(literal 1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal -8 binary64)) im)) (neg.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 im im) #s(literal 2/3 binary64))))))
(/.f64 (neg.f64 (*.f64 im (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)))) (fma.f64 #s(literal 1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))
(/.f64 (neg.f64 (*.f64 im (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal -8 binary64)))) (neg.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 im im) #s(literal 2/3 binary64))))))
(/.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im) (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)) im) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 im im) #s(literal 2/3 binary64)))))
(/.f64 (*.f64 im (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64))) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal 2 binary64)))
(/.f64 (*.f64 im (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal -8 binary64))) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 im im) #s(literal 2/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 im im) #s(literal 2/3 binary64)))) (*.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal -8 binary64)) im)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal 2 binary64)) (*.f64 im (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 im im) #s(literal 2/3 binary64)))) (*.f64 im (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal -8 binary64)))))
(/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))))
(fma.f64 #s(literal -1 binary64) (+.f64 im im) (*.f64 im (*.f64 #s(literal -1/3 binary64) (*.f64 im im))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) im (*.f64 #s(literal -2 binary64) im))
(fma.f64 #s(literal -2 binary64) im (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) im))
(fma.f64 im (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) (*.f64 im #s(literal -2 binary64)))
(fma.f64 im #s(literal -2 binary64) (*.f64 im (*.f64 #s(literal -1/3 binary64) (*.f64 im im))))
(+.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) im) (*.f64 #s(literal -2 binary64) im))
(+.f64 (*.f64 #s(literal -2 binary64) im) (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) im))
(+.f64 (*.f64 im (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) (*.f64 im #s(literal -2 binary64)))
(+.f64 (*.f64 im #s(literal -2 binary64)) (*.f64 im (*.f64 #s(literal -1/3 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)

eval143.0ms (1.4%)

Memory
-31.0MiB live, 144.0MiB allocated
Compiler

Compiled 19 068 to 2 305 computations (87.9% saved)

prune31.0ms (0.3%)

Memory
19.7MiB live, 66.3MiB allocated
Pruning

26 alts after pruning (23 fresh and 3 done)

PrunedKeptTotal
New51421535
Fresh224
Picked325
Done011
Total51926545
Accuracy
100.0%
Counts
545 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
17.7%
(*.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))))
64.6%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
68.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im)))))
93.9%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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)))
93.9%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.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)))
93.7%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/2520 (* im im)) -1/60) (*.f64 #s(literal -1/2520 binary64) (*.f64 im im))) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
83.6%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64)) im)))
56.2%
(*.f64 #s(approx (* 1/2 (sin re)) (*.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)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
54.9%
(*.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 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
51.4%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
59.8%
(*.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 (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)))
53.3%
(*.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)))
15.0%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 im (sin.f64 re)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 im (sin.f64 re)) (*.f64 im (sin.f64 re)) (*.f64 #s(literal 0 binary64) (*.f64 im (sin.f64 re)))))))
38.0%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 re) (sin.f64 re) #s(literal 0 binary64)) (neg.f64 (pow.f64 (sin.f64 re) #s(literal 3 binary64))))) im))
50.2%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 re) (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))))) im))
89.4%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
80.3%
#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))))
38.0%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 re) (sin.f64 re) #s(literal 0 binary64)))) im))
50.2%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 re))) im))
89.8%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.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))))
54.0%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 (sin.f64 re)) im))
40.1%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 (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)) (*.f64 re re) #s(literal -1 binary64)) re)) im))
38.2%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) re)) im))
38.0%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) re)) im))
34.2%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
38.2%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) 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)))
Compiler

Compiled 1 367 to 985 computations (27.9% saved)

simplify173.0ms (1.7%)

Memory
-24.2MiB live, 171.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
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 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im)))))
cost-diff1088
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im)))
cost-diff0
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) 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 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64)) im)))
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 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
cost-diff0
(neg.f64 re)
cost-diff0
#s(approx (neg (sin re)) (neg.f64 re))
cost-diff0
(*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im)
cost-diff0
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
cost-diff0
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.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-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 (*.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)))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
056454
093454
1155454
2271448
3528448
41058448
51945448
63145448
73692448
84016448
94336448
104553448
115132448
126633448
137466448
08276448
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 (*.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 (fma.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 (fma.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 (fma.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 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64))
(*.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))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
(*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im)
#s(approx (neg (sin re)) (neg.f64 re))
(neg.f64 re)
re
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 #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 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im))
(*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)
(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 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) 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 #s(literal -1/3 binary64) im) im #s(literal -2 binary64)) im))
(*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64)) im)
(fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64))
(*.f64 #s(literal -1/3 binary64) im)
#s(literal -1/3 binary64)
im
#s(literal -2 binary64)
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 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 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im)))
#s(literal 1 binary64)
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im))
(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 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im)
(fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64))
(pow.f64 im #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1/9 binary64)
#s(literal -4 binary64)
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.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)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) 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 (*.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)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
(*.f64 (fma.f64 (fma.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 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)
(fma.f64 (fma.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 (*.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64))
(fma.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 (*.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64))
(*.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))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
(*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im)
#s(approx (neg (sin re)) (neg.f64 re))
(neg.f64 re)
re
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 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #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)) (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #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))
#s(approx (* 1/2 (sin 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)
(*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #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 -1/12 binary64) (*.f64 re re) #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 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im))
(*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)
(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 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64)) im)))
(*.f64 #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #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 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64)) im))
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im))
(*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64)) im)
(*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)
(fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64))
(fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))
(*.f64 #s(literal -1/3 binary64) im)
#s(literal -1/3 binary64)
im
#s(literal -2 binary64)
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im)))))
(*.f64 #s(approx (- (exp (neg im)) (exp im)) (*.f64 (/.f64 im (fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal 2 binary64))) (fma.f64 #s(literal 1/9 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -4 binary64)))) (*.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 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im))))
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (/.f64 im (fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal 2 binary64))) (fma.f64 #s(literal 1/9 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im)))
(*.f64 (/.f64 im (fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal 2 binary64))) (fma.f64 #s(literal 1/9 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -4 binary64)))
#s(literal 1 binary64)
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im))
(/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal 2 binary64)) im) (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))
(fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal 2 binary64))
#s(literal -1/3 binary64)
(*.f64 im im)
im
#s(literal 2 binary64)
(*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im)
(*.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -4 binary64)) im)
(fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64))
(fma.f64 #s(literal 1/9 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -4 binary64))
(pow.f64 im #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1/9 binary64)
#s(literal -4 binary64)

localize335.0ms (3.2%)

Memory
33.7MiB live, 269.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.078125
(fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal 2 binary64))
accuracy0.15234375
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im)))
accuracy10.299763139626712
#s(approx (- (exp (neg im)) (exp im)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im))))
accuracy17.921369980258035
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im))
accuracy0.0625
(fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64))
accuracy0.07421875
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64)) im)))
accuracy0.32421875
(*.f64 #s(literal -1/3 binary64) im)
accuracy10.299763139626712
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64)) im))
accuracy0.078125
(fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))
accuracy0.10546875
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
accuracy10.299763139626712
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im))
accuracy30.887527646289975
#s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re))
accuracy0.0
(neg.f64 re)
accuracy0.14453125
(*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im)
accuracy29.380197752596807
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
accuracy30.70018484499721
#s(approx (neg (sin re)) (neg.f64 re))
accuracy0.05078125
(fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))
accuracy0.07421875
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.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)))
accuracy0.1171875
(*.f64 (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) im)
accuracy3.772830408735292
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.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
110.0ms58×2valid
85.0ms126×0valid
61.0ms71×1valid
2.0ms3valid
Compiler

Compiled 790 to 109 computations (86.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 174.0ms
const: 54.0ms (31.1% of total)
ival-mult: 44.0ms (25.3% of total)
ival-exp: 24.0ms (13.8% of total)
adjust: 15.0ms (8.6% of total)
ival-add: 14.0ms (8.1% of total)
ival-sin: 7.0ms (4% of total)
ival-div: 6.0ms (3.5% of total)
ival-pow: 3.0ms (1.7% of total)
ival-neg: 3.0ms (1.7% of total)
ival-sub: 2.0ms (1.2% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series54.0ms (0.5%)

Memory
-36.5MiB live, 14.3MiB allocated
Counts
25 → 71
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 (*.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 (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.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 (neg (sin re)) (neg.f64 re)) im))
(*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im)
#s(approx (neg (sin re)) (neg.f64 re))
(neg.f64 re)
(*.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 #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 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64)) im)))
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64)) im))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) 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))
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im))
(fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))
(*.f64 #s(literal -1/3 binary64) im)
(fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im))
#s(approx (- (exp (neg im)) (exp im)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im))))
(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))))
(* -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 re)
(* re (- (* 1/6 (pow re 2)) 1))
(* re (- (* (pow re 2) (+ 1/6 (* -1/120 (pow re 2)))) 1))
(* re (- (* (pow re 2) (+ 1/6 (* (pow re 2) (- (* 1/5040 (pow re 2)) 1/120)))) 1))
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 (sin re))
(* -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))
(* -1 (* (pow re 3) (- 1/12 (* 1/2 (/ 1 (pow re 2))))))
(* 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))
(* -1/60 im)
(* im (- (* -1/2520 (pow im 2)) 1/60))
-1/60
(- (* -1/2520 (pow im 2)) 1/60)
-2
(- (* -1/3 (pow im 2)) 2)
(* -1/3 im)
(/ -1/2 im)
(/ (- (* 1/12 (pow im 2)) 1/2) im)
(/ (- (* (pow im 2) (+ 1/12 (* -1/72 (pow im 2)))) 1/2) im)
(/ (- (* (pow im 2) (+ 1/12 (* (pow im 2) (- (* 1/432 (pow im 2)) 1/72)))) 1/2) im)
2
(+ 2 (* -1/3 (pow im 2)))
(- (exp (neg im)) (exp im))
(* -1/3 (pow im 3))
(* -1 (* (pow im 3) (+ 1/3 (* 2 (/ 1 (pow im 2))))))
(* -1/2520 (pow im 3))
(* -1 (* (pow im 3) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* -1/2520 (pow im 2))
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* -1/3 (pow im 2))
(* -1 (* (pow im 2) (+ 1/3 (* 2 (/ 1 (pow im 2))))))
(/ -3 (pow im 3))
(/ (- (* 18 (/ 1 (pow im 2))) 3) (pow im 3))
(/ (- (* 18 (/ 1 (pow im 2))) (+ 3 (/ 108 (pow im 4)))) (pow im 3))
(/ (- (+ (* 18 (/ 1 (pow im 2))) (* 648 (/ 1 (pow im 6)))) (+ 3 (/ 108 (pow im 4)))) (pow im 3))
(* (pow im 2) (- (* 2 (/ 1 (pow im 2))) 1/3))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(- (exp (* -1 im)) (exp im))
(* -1 (/ (- 3 (* 18 (/ 1 (pow im 2)))) (pow im 3)))
(* -1 (/ (- (+ 3 (/ 108 (pow im 4))) (* 18 (/ 1 (pow im 2)))) (pow im 3)))
(* -1 (/ (- (+ 3 (/ 108 (pow im 4))) (+ (* 18 (/ 1 (pow im 2))) (* 648 (/ 1 (pow im 6))))) (pow im 3)))
Calls

6 calls:

TimeVariablePointExpression
40.0ms
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 (sin re)) im) (neg (sin re)) (neg re) (* (* 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) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (- (exp (neg im)) (exp im)) (/ 1 (/ (+ (* -1/3 (* im im)) 2) (* (+ (* (pow im 4) 1/9) -4) im))) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (+ (* (* im im) -1/2520) -1/60) im) (+ (* (* im im) -1/2520) -1/60) (- (exp (neg im)) (exp im)) (+ (* -1/3 (* im im)) -2) (* -1/3 im) (+ (* (* -1/3 im) im) -2) (/ (+ (* -1/3 (* im im)) 2) (* (+ (* (pow im 4) 1/9) -4) im)) (- (exp (neg im)) (exp im)) (+ (* -1/3 (* im im)) 2))
5.0ms
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 (sin re)) im) (neg (sin re)) (neg re) (* (* 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) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (- (exp (neg im)) (exp im)) (/ 1 (/ (+ (* -1/3 (* im im)) 2) (* (+ (* (pow im 4) 1/9) -4) im))) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (+ (* (* im im) -1/2520) -1/60) im) (+ (* (* im im) -1/2520) -1/60) (- (exp (neg im)) (exp im)) (+ (* -1/3 (* im im)) -2) (* -1/3 im) (+ (* (* -1/3 im) im) -2) (/ (+ (* -1/3 (* im im)) 2) (* (+ (* (pow im 4) 1/9) -4) im)) (- (exp (neg im)) (exp im)) (+ (* -1/3 (* im im)) 2))
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 (sin re)) im) (neg (sin re)) (neg re) (* (* 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) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (- (exp (neg im)) (exp im)) (/ 1 (/ (+ (* -1/3 (* im im)) 2) (* (+ (* (pow im 4) 1/9) -4) im))) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (+ (* (* im im) -1/2520) -1/60) im) (+ (* (* im im) -1/2520) -1/60) (- (exp (neg im)) (exp im)) (+ (* -1/3 (* im im)) -2) (* -1/3 im) (+ (* (* -1/3 im) im) -2) (/ (+ (* -1/3 (* im im)) 2) (* (+ (* (pow im 4) 1/9) -4) im)) (- (exp (neg im)) (exp im)) (+ (* -1/3 (* im im)) 2))
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 (sin re)) im) (neg (sin re)) (neg re) (* (* 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) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (- (exp (neg im)) (exp im)) (/ 1 (/ (+ (* -1/3 (* im im)) 2) (* (+ (* (pow im 4) 1/9) -4) im))) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (+ (* (* im im) -1/2520) -1/60) im) (+ (* (* im im) -1/2520) -1/60) (- (exp (neg im)) (exp im)) (+ (* -1/3 (* im im)) -2) (* -1/3 im) (+ (* (* -1/3 im) im) -2) (/ (+ (* -1/3 (* im im)) 2) (* (+ (* (pow im 4) 1/9) -4) im)) (- (exp (neg im)) (exp im)) (+ (* -1/3 (* im im)) 2))
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 (sin re)) im) (neg (sin re)) (neg re) (* (* 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) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (- (exp (neg im)) (exp im)) (/ 1 (/ (+ (* -1/3 (* im im)) 2) (* (+ (* (pow im 4) 1/9) -4) im))) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (+ (* (* im im) -1/2520) -1/60) im) (+ (* (* im im) -1/2520) -1/60) (- (exp (neg im)) (exp im)) (+ (* -1/3 (* im im)) -2) (* -1/3 im) (+ (* (* -1/3 im) im) -2) (/ (+ (* -1/3 (* im im)) 2) (* (+ (* (pow im 4) 1/9) -4) im)) (- (exp (neg im)) (exp im)) (+ (* -1/3 (* im im)) 2))

simplify231.0ms (2.2%)

Memory
10.2MiB live, 80.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0246792
1720749
22271740
35081730
08226674
Stop Event
iter limit
node limit
Counts
71 → 70
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 re)
(* re (- (* 1/6 (pow re 2)) 1))
(* re (- (* (pow re 2) (+ 1/6 (* -1/120 (pow re 2)))) 1))
(* re (- (* (pow re 2) (+ 1/6 (* (pow re 2) (- (* 1/5040 (pow re 2)) 1/120)))) 1))
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 (sin re))
(* -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))
(* -1 (* (pow re 3) (- 1/12 (* 1/2 (/ 1 (pow re 2))))))
(* 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))
(* -1/60 im)
(* im (- (* -1/2520 (pow im 2)) 1/60))
-1/60
(- (* -1/2520 (pow im 2)) 1/60)
-2
(- (* -1/3 (pow im 2)) 2)
(* -1/3 im)
(/ -1/2 im)
(/ (- (* 1/12 (pow im 2)) 1/2) im)
(/ (- (* (pow im 2) (+ 1/12 (* -1/72 (pow im 2)))) 1/2) im)
(/ (- (* (pow im 2) (+ 1/12 (* (pow im 2) (- (* 1/432 (pow im 2)) 1/72)))) 1/2) im)
2
(+ 2 (* -1/3 (pow im 2)))
(- (exp (neg im)) (exp im))
(* -1/3 (pow im 3))
(* -1 (* (pow im 3) (+ 1/3 (* 2 (/ 1 (pow im 2))))))
(* -1/2520 (pow im 3))
(* -1 (* (pow im 3) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* -1/2520 (pow im 2))
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* -1/3 (pow im 2))
(* -1 (* (pow im 2) (+ 1/3 (* 2 (/ 1 (pow im 2))))))
(/ -3 (pow im 3))
(/ (- (* 18 (/ 1 (pow im 2))) 3) (pow im 3))
(/ (- (* 18 (/ 1 (pow im 2))) (+ 3 (/ 108 (pow im 4)))) (pow im 3))
(/ (- (+ (* 18 (/ 1 (pow im 2))) (* 648 (/ 1 (pow im 6)))) (+ 3 (/ 108 (pow im 4)))) (pow im 3))
(* (pow im 2) (- (* 2 (/ 1 (pow im 2))) 1/3))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(- (exp (* -1 im)) (exp im))
(* -1 (/ (- 3 (* 18 (/ 1 (pow im 2)))) (pow im 3)))
(* -1 (/ (- (+ 3 (/ 108 (pow im 4))) (* 18 (/ 1 (pow im 2)))) (pow im 3)))
(* -1 (/ (- (+ 3 (/ 108 (pow im 4))) (+ (* 18 (/ 1 (pow im 2))) (* 648 (/ 1 (pow im 6))))) (pow im 3)))
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 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) 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 (fma.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (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) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (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 re) im)
(* re (+ (* -1 im) (* 1/6 (* im (pow re 2)))))
(*.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #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 (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 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)))) re)
(* -1 re)
(neg.f64 re)
(* re (- (* 1/6 (pow re 2)) 1))
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) re)
(* re (- (* (pow re 2) (+ 1/6 (* -1/120 (pow re 2)))) 1))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) re)
(* re (- (* (pow re 2) (+ 1/6 (* (pow re 2) (- (* 1/5040 (pow re 2)) 1/120)))) 1))
(*.f64 (fma.f64 (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)) (*.f64 re re) #s(literal -1 binary64)) re)
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 (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sin.f64 re))
(* 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 (sin re))
(neg.f64 (sin.f64 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)
(* -1 (* (pow re 3) (- 1/12 (* 1/2 (/ 1 (pow re 2))))))
(*.f64 (-.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 (*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im)
(* 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)))))))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)) #s(literal -1/6 binary64))) (*.f64 (neg.f64 (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)
(* -1/60 im)
(*.f64 #s(literal -1/60 binary64) im)
(* im (- (* -1/2520 (pow im 2)) 1/60))
(*.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 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))
-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))
(* -1/3 im)
(*.f64 #s(literal -1/3 binary64) im)
(/ -1/2 im)
(/.f64 #s(literal -1/2 binary64) im)
(/ (- (* 1/12 (pow im 2)) 1/2) im)
(/.f64 (fma.f64 (*.f64 im im) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) im)
(/ (- (* (pow im 2) (+ 1/12 (* -1/72 (pow im 2)))) 1/2) im)
(/.f64 (fma.f64 (fma.f64 #s(literal -1/72 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (*.f64 im im) #s(literal -1/2 binary64)) im)
(/ (- (* (pow im 2) (+ 1/12 (* (pow im 2) (- (* 1/432 (pow im 2)) 1/72)))) 1/2) im)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/432 binary64) (*.f64 im im) #s(literal -1/72 binary64)) (*.f64 im im) #s(literal 1/12 binary64)) (*.f64 im im) #s(literal -1/2 binary64)) im)
2
#s(literal 2 binary64)
(+ 2 (* -1/3 (pow im 2)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal 2 binary64))
(- (exp (neg im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* -1/3 (pow im 3))
(*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/3 binary64))
(* -1 (* (pow im 3) (+ 1/3 (* 2 (/ 1 (pow im 2))))))
(*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)
(* -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 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) 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))
(* -1/3 (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))
(/ -3 (pow im 3))
(/.f64 #s(literal -3 binary64) (pow.f64 im #s(literal 3 binary64)))
(/ (- (* 18 (/ 1 (pow im 2))) 3) (pow im 3))
(/.f64 (-.f64 (/.f64 #s(literal 18 binary64) (*.f64 im im)) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64)))
(/ (- (* 18 (/ 1 (pow im 2))) (+ 3 (/ 108 (pow im 4)))) (pow im 3))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 18 binary64) (*.f64 im im)) #s(literal 3 binary64)) (/.f64 #s(literal 108 binary64) (pow.f64 im #s(literal 4 binary64)))) (pow.f64 im #s(literal 3 binary64)))
(/ (- (+ (* 18 (/ 1 (pow im 2))) (* 648 (/ 1 (pow im 6)))) (+ 3 (/ 108 (pow im 4)))) (pow im 3))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 648 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 108 binary64) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal 18 binary64) (*.f64 im im)))) (pow.f64 im #s(literal 3 binary64)))
(* (pow im 2) (- (* 2 (/ 1 (pow im 2))) 1/3))
(fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal 2 binary64))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sin.f64 re))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* -1 (/ (- 3 (* 18 (/ 1 (pow im 2)))) (pow im 3)))
(/.f64 (-.f64 (/.f64 #s(literal 18 binary64) (*.f64 im im)) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64)))
(* -1 (/ (- (+ 3 (/ 108 (pow im 4))) (* 18 (/ 1 (pow im 2)))) (pow im 3)))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 18 binary64) (*.f64 im im)) #s(literal 3 binary64)) (/.f64 #s(literal 108 binary64) (pow.f64 im #s(literal 4 binary64)))) (pow.f64 im #s(literal 3 binary64)))
(* -1 (/ (- (+ 3 (/ 108 (pow im 4))) (+ (* 18 (/ 1 (pow im 2))) (* 648 (/ 1 (pow im 6))))) (pow im 3)))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 648 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 108 binary64) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal 18 binary64) (*.f64 im im)))) (pow.f64 im #s(literal 3 binary64)))

rewrite255.0ms (2.4%)

Memory
11.9MiB live, 135.8MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
056323
093305
1290291
21660291
08449291
Stop Event
iter limit
node limit
iter limit
Counts
25 → 674
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 (*.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 (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.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 (neg (sin re)) (neg.f64 re)) im))
(*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im)
#s(approx (neg (sin re)) (neg.f64 re))
(neg.f64 re)
(*.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 #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 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64)) im)))
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64)) im))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) 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))
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im))
(fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))
(*.f64 #s(literal -1/3 binary64) im)
(fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im))
#s(approx (- (exp (neg im)) (exp im)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im))))
(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 (*.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) 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 (*.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) 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 (*.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) 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 (*.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) 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 (*.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #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) (*.f64 #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) 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 (*.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #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 (neg (sin re)) (neg.f64 re)) im))
(*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im)
(*.f64 im #s(approx (neg (sin re)) (neg.f64 re)))
#s(approx (neg (sin re)) (neg.f64 re))
(*.f64 #s(literal -1 binary64) re)
(*.f64 re #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 re) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 #s(literal 0 binary64) (neg.f64 re)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 re re))) (neg.f64 (+.f64 #s(literal 0 binary64) re)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 re #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 re re (*.f64 #s(literal 0 binary64) re)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 re re)) (+.f64 #s(literal 0 binary64) re))
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(/.f64 (*.f64 (fma.f64 #s(literal 1/729 binary64) (pow.f64 im #s(literal 12 binary64)) #s(literal -64 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 16 binary64) (-.f64 (*.f64 (pow.f64 im #s(literal 8 binary64)) #s(literal 1/81 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -4/9 binary64)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64))))
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(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/9 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -4 binary64))) (*.f64 (/.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 (pow.f64 im #s(literal 8 binary64)) #s(literal 1/81 binary64) #s(literal -16 binary64))) (*.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -4 binary64)) (fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/9 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -4 binary64))) (*.f64 (/.f64 (fma.f64 (pow.f64 im #s(literal 8 binary64)) #s(literal 1/81 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -4/9 binary64)))) (fma.f64 #s(literal 1/729 binary64) (pow.f64 im #s(literal 12 binary64)) #s(literal -64 binary64))) (*.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -4 binary64)) (fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64)) #s(literal 4 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64)) (fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 1/9 binary64) (pow.f64 im #s(literal 4 binary64)))) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -1/3 binary64) im) im)))
(/.f64 (-.f64 (*.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 (neg.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal 8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 (*.f64 im im) #s(literal -2/3 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal 8 binary64))) (neg.f64 (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 (neg.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -4 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64))))
(/.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -4 binary64)) (fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64)))
(/.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 (*.f64 im im) #s(literal -2/3 binary64)))))
(/.f64 (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 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64)) (fma.f64 #s(literal 1/9 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (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)))) (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal 8 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 (pow.f64 im #s(literal 8 binary64)) #s(literal 1/81 binary64) #s(literal -16 binary64))) (fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 (pow.f64 im #s(literal 8 binary64)) #s(literal 1/81 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -4/9 binary64)))) (fma.f64 #s(literal 1/729 binary64) (pow.f64 im #s(literal 12 binary64)) #s(literal -64 binary64))) (fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64)) (fma.f64 #s(literal 1/9 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (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)))) (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal 8 binary64))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal 2 binary64))
(fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal 2 binary64))
(fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal 2 binary64))
(fma.f64 im (*.f64 #s(literal -1/3 binary64) im) #s(literal 2 binary64))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -1/3 binary64) im) im))) (/.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 im #s(literal 4 binary64))) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -1/3 binary64) im) im))))
(-.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/27 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 #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 (/.f64 (*.f64 (pow.f64 im #s(literal 8 binary64)) #s(literal 1/81 binary64)) (fma.f64 #s(literal 1/9 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal 1/9 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64))))
(-.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64))))
(-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) im) im) #s(literal -2 binary64))
(+.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) im) im) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -1/3 binary64) im) im))

eval201.0ms (1.9%)

Memory
-11.3MiB live, 108.6MiB allocated
Compiler

Compiled 27 499 to 3 700 computations (86.5% saved)

prune55.0ms (0.5%)

Memory
23.0MiB live, 61.7MiB allocated
Pruning

30 alts after pruning (25 fresh and 5 done)

PrunedKeptTotal
New67211683
Fresh41418
Picked325
Done033
Total67930709
Accuracy
100.0%
Counts
709 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
17.7%
(*.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))))
64.6%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
53.9%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* -1/3 (* im im)) 2) (* (+ (* (pow im 4) 1/9) -4) im)) (/.f64 #s(literal -1/2 binary64) im)))))
93.9%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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)))
93.9%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
93.7%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 #s(literal -1/2520 binary64) (*.f64 im im))) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
90.2%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
83.6%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64)) im)))
56.2%
(*.f64 #s(approx (* 1/2 (sin re)) (*.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)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64)) im)))
42.0%
(*.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 #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) im)))
46.8%
(*.f64 #s(approx (* 1/2 (sin re)) (*.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)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
53.3%
(*.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 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
51.4%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
59.8%
(*.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 (*.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)))
53.3%
(*.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 #s(literal -1/3 binary64) im) im #s(literal -2 binary64)) im)))
15.0%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 im (sin.f64 re)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 im (sin.f64 re)) (*.f64 im (sin.f64 re)) (*.f64 #s(literal 0 binary64) (*.f64 im (sin.f64 re)))))))
38.0%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 re) (sin.f64 re) #s(literal 0 binary64)) (neg.f64 (pow.f64 (sin.f64 re) #s(literal 3 binary64))))) im))
50.2%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 re) (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))))) im))
89.4%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
80.3%
#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))))
38.0%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 re) (sin.f64 re) #s(literal 0 binary64)))) im))
50.2%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 re))) im))
89.8%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.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))))
54.0%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 (sin.f64 re)) im))
32.6%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 re re)) (+.f64 #s(literal 0 binary64) re))) im))
40.1%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 (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)) (*.f64 re re) #s(literal -1 binary64)) re)) im))
38.2%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) re)) im))
38.0%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) re)) im))
34.2%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
38.2%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) 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)))
Compiler

Compiled 1 621 to 1 176 computations (27.5% saved)

simplify168.0ms (1.6%)

Memory
-11.2MiB live, 146.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64)))
cost-diff0
(*.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 re))) im)
cost-diff0
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 re))) im))
cost-diff13888
(*.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 re)))
cost-diff0
(fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))
cost-diff0
(sin.f64 re)
cost-diff0
(*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64)))
cost-diff0
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
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 #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) im)))
cost-diff0
(fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64))
cost-diff0
#s(approx (neg (sin re)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) re))
cost-diff0
(*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) re)) im)
cost-diff0
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) re)) im))
cost-diff0
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) 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 (*.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061485
098485
1178479
2394464
3979458
42435458
55926458
08021454
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 (*.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #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 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64))
(*.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im)
(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)
#s(literal -1/3 binary64)
(*.f64 im im)
#s(literal -2 binary64)
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) re)) im))
(*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) re)) im)
#s(approx (neg (sin re)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) re))
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) re)
(fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64))
#s(literal 1/6 binary64)
(*.f64 re re)
re
#s(literal -1 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 #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) 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 #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) im))
(*.f64 #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) im)
#s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im)))
(*.f64 #s(literal -1/3 binary64) (*.f64 im im))
#s(literal -1/3 binary64)
(*.f64 im im)
im
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
(*.f64 (*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im)
(*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(sin.f64 re)
re
(fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))
(*.f64 im im)
im
(fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64))
#s(literal -1/120 binary64)
#s(literal -1/6 binary64)
#s(literal -1 binary64)
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 re))) im))
(*.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 re))) im)
(*.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 re)))
(neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64)))
(pow.f64 (sin.f64 re) #s(literal 2 binary64))
(sin.f64 re)
re
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (sin.f64 re))
#s(literal 1 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 (*.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #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)) (*.f64 (fma.f64 (*.f64 im im) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) #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 (*.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #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)) (*.f64 (fma.f64 (*.f64 im im) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) #s(literal -2 binary64)) im))
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)
(*.f64 (fma.f64 (*.f64 im im) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) #s(literal -2 binary64)) im)
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64))
(fma.f64 (*.f64 im im) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) #s(literal -2 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64))
(*.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im)
(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)
#s(literal -1/3 binary64)
(*.f64 im im)
#s(literal -2 binary64)
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/6 binary64) (neg.f64 re))) im))
(*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) re)) im)
(*.f64 #s(approx (neg (sin re)) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/6 binary64) (neg.f64 re))) im)
#s(approx (neg (sin re)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) re))
#s(approx (neg (sin re)) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/6 binary64) (neg.f64 re)))
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) re)
(fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/6 binary64) (neg.f64 re))
(fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64))
(fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))
#s(literal 1/6 binary64)
(*.f64 re re)
re
#s(literal -1 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 #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) im)))
(*.f64 #s(approx (- (exp (neg im)) (exp im)) (*.f64 #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 (*.f64 im im) #s(literal -1/3 binary64))) im)) #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #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))
#s(approx (* 1/2 (sin 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)
(*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #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 -1/12 binary64) (*.f64 re re) #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 #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) im))
#s(approx (- (exp (neg im)) (exp im)) (*.f64 #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 (*.f64 im im) #s(literal -1/3 binary64))) im))
(*.f64 #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) im)
(*.f64 #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 (*.f64 im im) #s(literal -1/3 binary64))) im)
#s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im)))
#s(approx (+ (* -1/3 (* im im)) -2) (*.f64 (*.f64 im im) #s(literal -1/3 binary64)))
(*.f64 #s(literal -1/3 binary64) (*.f64 im im))
(*.f64 (*.f64 im im) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(*.f64 im im)
im
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal -1/120 binary64) (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) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im)
(*.f64 (fma.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal -1/120 binary64) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im))) (sin.f64 re))
(*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) (sin.f64 re))
(sin.f64 re)
re
(fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64))
(*.f64 im im)
im
(fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64))
(fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64))
#s(literal -1/120 binary64)
#s(literal -1/6 binary64)
#s(literal -1 binary64)
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 re))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 (sin.f64 re)) im))
(*.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 re))) im)
(*.f64 (neg.f64 (sin.f64 re)) im)
(*.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 re)))
(neg.f64 (sin.f64 re))
(neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64)))
(pow.f64 (sin.f64 re) #s(literal 2 binary64))
(sin.f64 re)
re
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (sin.f64 re))
#s(literal 1 binary64)
im

localize548.0ms (5.3%)

Memory
-13.5MiB live, 266.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.14453125
(*.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 re))) im)
accuracy0.234375
(pow.f64 (sin.f64 re) #s(literal 2 binary64))
accuracy16.78544440967052
(*.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 re)))
accuracy29.380197752596807
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 re))) im))
accuracy0.05078125
(fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64))
accuracy0.09375
(*.f64 (*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im)
accuracy2.8474919579578053
(*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64)))
accuracy7.866153564163829
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
accuracy0.1796875
(*.f64 #s(literal -1/3 binary64) (*.f64 im im))
accuracy10.299763139626712
#s(approx (- (exp (neg im)) (exp im)) (*.f64 #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) im))
accuracy30.887527646289975
#s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re))
accuracy32.61183059685452
#s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im)))
accuracy0.10546875
(fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64))
accuracy0.14453125
(*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) re)) im)
accuracy29.380197752596807
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) re)) im))
accuracy30.88744305604655
#s(approx (neg (sin re)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) re))
accuracy0.07421875
(fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64))
accuracy0.07421875
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
accuracy0.1171875
(*.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im)
accuracy3.772830408735292
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
Samples
147.0ms71×1valid
138.0ms58×2valid
90.0ms126×0valid
2.0ms3valid
Compiler

Compiled 830 to 120 computations (85.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 320.0ms
ival-exp: 106.0ms (33.2% of total)
ival-mult: 73.0ms (22.8% of total)
const: 60.0ms (18.8% of total)
ival-add: 42.0ms (13.1% of total)
adjust: 14.0ms (4.4% of total)
ival-sin: 10.0ms (3.1% of total)
ival-neg: 5.0ms (1.6% of total)
ival-pow2: 4.0ms (1.3% of total)
ival-div: 3.0ms (0.9% of total)
ival-sub: 2.0ms (0.6% of total)
exact: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series34.0ms (0.3%)

Memory
0.7MiB live, 37.8MiB allocated
Counts
27 → 97
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 (*.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #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 (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #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 (neg (sin re)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) re)) im))
(*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) re)) im)
#s(approx (neg (sin re)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) re))
(fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 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 #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) 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))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
(*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))
(*.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 re))) im))
(*.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 re))) im)
(neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64)))
(*.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im)
(fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64))
#s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im)))
#s(approx (- (exp (neg im)) (exp im)) (*.f64 #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) im))
(*.f64 #s(literal -1/3 binary64) (*.f64 im im))
(*.f64 (*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im)
(fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64))
(pow.f64 (sin.f64 re) #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))))
(* -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 re)
(* re (- (* 1/6 (pow re 2)) 1))
(* re (- (* (pow re 2) (+ 1/6 (* -1/120 (pow re 2)))) 1))
(* re (- (* (pow re 2) (+ 1/6 (* (pow re 2) (- (* 1/5040 (pow re 2)) 1/120)))) 1))
-1
(- (* 1/6 (pow re 2)) 1)
1/2
(+ 1/2 (* -1/12 (pow re 2)))
(* re (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))
(* re (- (+ (* -1/6 (* (pow re 2) (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))) (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6))) 1))
(* re (- (+ (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) (* (pow re 2) (+ (* -1/6 (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)) (* 1/120 (* (pow re 2) (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)))))) 1))
(* re (- (+ (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) (* (pow re 2) (+ (* -1/6 (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)) (* (pow re 2) (+ (* -1/5040 (* (pow re 2) (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))) (* 1/120 (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))))))) 1))
(* -1 (pow re 2))
(* (pow re 2) (- (* 1/3 (pow re 2)) 1))
(* (pow re 2) (- (* (pow re 2) (+ 1/3 (* -2/45 (pow re 2)))) 1))
(* (pow re 2) (- (* (pow re 2) (+ 1/3 (* (pow re 2) (- (* 1/315 (pow re 2)) 2/45)))) 1))
(* im (* re (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)))
(* re (+ (* -1/6 (* im (* (pow re 2) (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)))) (* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))))
(* re (+ (* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)) (* (pow re 2) (+ (* -1/6 (* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))) (* 1/120 (* im (* (pow re 2) (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))))))))
(* re (+ (* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)) (* (pow re 2) (+ (* -1/6 (* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))) (* (pow re 2) (+ (* -1/5040 (* im (* (pow re 2) (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)))) (* 1/120 (* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)))))))))
(pow re 2)
(* (pow re 2) (+ 1 (* -1/3 (pow re 2))))
(* (pow re 2) (+ 1 (* (pow re 2) (- (* 2/45 (pow re 2)) 1/3))))
(* (pow re 2) (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 2/45 (* -1/315 (pow re 2)))) 1/3))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (sin re))
(sin re)
(* -1 (* im (sin re)))
(* -1 (sin re))
(* 1/6 (pow re 2))
(* (pow re 2) (- 1/6 (/ 1 (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))
(* (sin re) (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))
(* -1 (pow (sin re) 2))
(* im (* (sin re) (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)))
(pow (sin re) 2)
(* -1 (* (pow re 3) (- 1/12 (* 1/2 (/ 1 (pow re 2))))))
(* 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 (sin re)) (* -1/6 (* (pow im 2) (sin re))))
(+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* -1/120 (* (pow im 2) (sin re))))))
(- (* -1/6 (pow im 2)) 1)
(- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)
(* -1/60 im)
(* im (- (* -1/2520 (pow im 2)) 1/60))
-1/60
(- (* -1/2520 (pow im 2)) 1/60)
-2
(- (* -1/3 (pow im 2)) 2)
(* -1/3 (pow im 2))
-1/6
(- (* -1/120 (pow im 2)) 1/6)
(- (exp (neg im)) (exp im))
(* -1/120 (* (pow im 4) (sin re)))
(* (pow im 4) (+ (* -1/6 (/ (sin re) (pow im 2))) (* -1/120 (sin re))))
(* (pow im 4) (+ (* -1 (/ (sin re) (pow im 4))) (+ (* -1/6 (/ (sin re) (pow im 2))) (* -1/120 (sin re)))))
(* -1/120 (pow im 4))
(* -1 (* (pow im 4) (+ 1/120 (* 1/6 (/ 1 (pow im 2))))))
(* (pow im 4) (- (* -1 (/ (+ 1/6 (/ 1 (pow im 2))) (pow im 2))) 1/120))
(* -1/2520 (pow im 3))
(* -1 (* (pow im 3) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* -1/2520 (pow im 2))
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* -1 (* (pow im 2) (+ 1/3 (* 2 (/ 1 (pow im 2))))))
(* -1/120 (* (pow im 5) (sin re)))
(* (pow im 5) (+ (* -1/6 (/ (sin re) (pow im 2))) (* -1/120 (sin re))))
(* (pow im 5) (+ (* -1 (/ (sin re) (pow im 4))) (+ (* -1/6 (/ (sin re) (pow im 2))) (* -1/120 (sin re)))))
(* -1/120 (pow im 2))
(* -1 (* (pow im 2) (+ 1/120 (* 1/6 (/ 1 (pow im 2))))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(- (exp (* -1 im)) (exp im))
(* -1 (* (pow im 5) (+ (* 1/120 (sin re)) (* 1/6 (/ (sin re) (pow im 2))))))
(* -1 (* (pow im 5) (+ (* 1/120 (sin re)) (+ (* 1/6 (/ (sin re) (pow im 2))) (/ (sin re) (pow im 4))))))
Calls

6 calls:

TimeVariablePointExpression
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))) (* (neg (sin re)) im) (neg (sin re)) (+ (* 1/6 (* re re)) -1) (* (* 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) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1) (* (neg (pow (sin re) 2)) (/ 1 (sin re))) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (* (neg (pow (sin re) 2)) (/ 1 (sin re))) im) (neg (pow (sin re) 2)) (* (+ (* (* -1/2520 im) im) -1/60) im) (+ (* (* -1/2520 im) im) -1/60) (+ (* -1/3 (* im im)) -2) (- (exp (neg im)) (exp im)) (* -1/3 (* im im)) (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (+ (* (* im im) -1/120) -1/6) (pow (sin re) 2))
3.0ms
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 (sin re)) im) (neg (sin re)) (+ (* 1/6 (* re re)) -1) (* (* 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) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1) (* (neg (pow (sin re) 2)) (/ 1 (sin re))) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (* (neg (pow (sin re) 2)) (/ 1 (sin re))) im) (neg (pow (sin re) 2)) (* (+ (* (* -1/2520 im) im) -1/60) im) (+ (* (* -1/2520 im) im) -1/60) (+ (* -1/3 (* im im)) -2) (- (exp (neg im)) (exp im)) (* -1/3 (* im im)) (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (+ (* (* im im) -1/120) -1/6) (pow (sin re) 2))
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 (sin re)) im) (neg (sin re)) (+ (* 1/6 (* re re)) -1) (* (* 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) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1) (* (neg (pow (sin re) 2)) (/ 1 (sin re))) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (* (neg (pow (sin re) 2)) (/ 1 (sin re))) im) (neg (pow (sin re) 2)) (* (+ (* (* -1/2520 im) im) -1/60) im) (+ (* (* -1/2520 im) im) -1/60) (+ (* -1/3 (* im im)) -2) (- (exp (neg im)) (exp im)) (* -1/3 (* im im)) (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (+ (* (* im im) -1/120) -1/6) (pow (sin re) 2))
3.0ms
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 (sin re)) im) (neg (sin re)) (+ (* 1/6 (* re re)) -1) (* (* 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) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1) (* (neg (pow (sin re) 2)) (/ 1 (sin re))) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (* (neg (pow (sin re) 2)) (/ 1 (sin re))) im) (neg (pow (sin re) 2)) (* (+ (* (* -1/2520 im) im) -1/60) im) (+ (* (* -1/2520 im) im) -1/60) (+ (* -1/3 (* im im)) -2) (- (exp (neg im)) (exp im)) (* -1/3 (* im im)) (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (+ (* (* im im) -1/120) -1/6) (pow (sin re) 2))
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 (sin re)) im) (neg (sin re)) (+ (* 1/6 (* re re)) -1) (* (* 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) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1) (* (neg (pow (sin re) 2)) (/ 1 (sin re))) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (* (neg (pow (sin re) 2)) (/ 1 (sin re))) im) (neg (pow (sin re) 2)) (* (+ (* (* -1/2520 im) im) -1/60) im) (+ (* (* -1/2520 im) im) -1/60) (+ (* -1/3 (* im im)) -2) (- (exp (neg im)) (exp im)) (* -1/3 (* im im)) (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (+ (* (* im im) -1/120) -1/6) (pow (sin re) 2))

simplify281.0ms (2.7%)

Memory
21.6MiB live, 254.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03171402
19751318
232161212
375491210
081701101
Stop Event
iter limit
node limit
Counts
97 → 96
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 re)
(* re (- (* 1/6 (pow re 2)) 1))
(* re (- (* (pow re 2) (+ 1/6 (* -1/120 (pow re 2)))) 1))
(* re (- (* (pow re 2) (+ 1/6 (* (pow re 2) (- (* 1/5040 (pow re 2)) 1/120)))) 1))
-1
(- (* 1/6 (pow re 2)) 1)
1/2
(+ 1/2 (* -1/12 (pow re 2)))
(* re (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))
(* re (- (+ (* -1/6 (* (pow re 2) (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))) (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6))) 1))
(* re (- (+ (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) (* (pow re 2) (+ (* -1/6 (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)) (* 1/120 (* (pow re 2) (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)))))) 1))
(* re (- (+ (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) (* (pow re 2) (+ (* -1/6 (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)) (* (pow re 2) (+ (* -1/5040 (* (pow re 2) (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))) (* 1/120 (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))))))) 1))
(* -1 (pow re 2))
(* (pow re 2) (- (* 1/3 (pow re 2)) 1))
(* (pow re 2) (- (* (pow re 2) (+ 1/3 (* -2/45 (pow re 2)))) 1))
(* (pow re 2) (- (* (pow re 2) (+ 1/3 (* (pow re 2) (- (* 1/315 (pow re 2)) 2/45)))) 1))
(* im (* re (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)))
(* re (+ (* -1/6 (* im (* (pow re 2) (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)))) (* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))))
(* re (+ (* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)) (* (pow re 2) (+ (* -1/6 (* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))) (* 1/120 (* im (* (pow re 2) (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))))))))
(* re (+ (* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)) (* (pow re 2) (+ (* -1/6 (* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))) (* (pow re 2) (+ (* -1/5040 (* im (* (pow re 2) (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)))) (* 1/120 (* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)))))))))
(pow re 2)
(* (pow re 2) (+ 1 (* -1/3 (pow re 2))))
(* (pow re 2) (+ 1 (* (pow re 2) (- (* 2/45 (pow re 2)) 1/3))))
(* (pow re 2) (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 2/45 (* -1/315 (pow re 2)))) 1/3))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (sin re))
(sin re)
(* -1 (* im (sin re)))
(* -1 (sin re))
(* 1/6 (pow re 2))
(* (pow re 2) (- 1/6 (/ 1 (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))
(* (sin re) (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))
(* -1 (pow (sin re) 2))
(* im (* (sin re) (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)))
(pow (sin re) 2)
(* -1 (* (pow re 3) (- 1/12 (* 1/2 (/ 1 (pow re 2))))))
(* 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 (sin re)) (* -1/6 (* (pow im 2) (sin re))))
(+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* -1/120 (* (pow im 2) (sin re))))))
(- (* -1/6 (pow im 2)) 1)
(- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)
(* -1/60 im)
(* im (- (* -1/2520 (pow im 2)) 1/60))
-1/60
(- (* -1/2520 (pow im 2)) 1/60)
-2
(- (* -1/3 (pow im 2)) 2)
(* -1/3 (pow im 2))
-1/6
(- (* -1/120 (pow im 2)) 1/6)
(- (exp (neg im)) (exp im))
(* -1/120 (* (pow im 4) (sin re)))
(* (pow im 4) (+ (* -1/6 (/ (sin re) (pow im 2))) (* -1/120 (sin re))))
(* (pow im 4) (+ (* -1 (/ (sin re) (pow im 4))) (+ (* -1/6 (/ (sin re) (pow im 2))) (* -1/120 (sin re)))))
(* -1/120 (pow im 4))
(* -1 (* (pow im 4) (+ 1/120 (* 1/6 (/ 1 (pow im 2))))))
(* (pow im 4) (- (* -1 (/ (+ 1/6 (/ 1 (pow im 2))) (pow im 2))) 1/120))
(* -1/2520 (pow im 3))
(* -1 (* (pow im 3) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* -1/2520 (pow im 2))
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* -1 (* (pow im 2) (+ 1/3 (* 2 (/ 1 (pow im 2))))))
(* -1/120 (* (pow im 5) (sin re)))
(* (pow im 5) (+ (* -1/6 (/ (sin re) (pow im 2))) (* -1/120 (sin re))))
(* (pow im 5) (+ (* -1 (/ (sin re) (pow im 4))) (+ (* -1/6 (/ (sin re) (pow im 2))) (* -1/120 (sin re)))))
(* -1/120 (pow im 2))
(* -1 (* (pow im 2) (+ 1/120 (* 1/6 (/ 1 (pow im 2))))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(- (exp (* -1 im)) (exp im))
(* -1 (* (pow im 5) (+ (* 1/120 (sin re)) (* 1/6 (/ (sin re) (pow im 2))))))
(* -1 (* (pow im 5) (+ (* 1/120 (sin re)) (+ (* 1/6 (/ (sin re) (pow im 2))) (/ (sin re) (pow im 4))))))
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 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) 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 (fma.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64))) (*.f64 re re) (*.f64 #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))) (* (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 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #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 (* im re))
(*.f64 (neg.f64 re) im)
(* re (+ (* -1 im) (* 1/6 (* im (pow re 2)))))
(*.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #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 (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 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)))) re)
(* -1 re)
(neg.f64 re)
(* re (- (* 1/6 (pow re 2)) 1))
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) re)
(* re (- (* (pow re 2) (+ 1/6 (* -1/120 (pow re 2)))) 1))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) re)
(* re (- (* (pow re 2) (+ 1/6 (* (pow re 2) (- (* 1/5040 (pow re 2)) 1/120)))) 1))
(*.f64 (fma.f64 (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)) (*.f64 re re) #s(literal -1 binary64)) re)
-1
#s(literal -1 binary64)
(- (* 1/6 (pow re 2)) 1)
(fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 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 (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))
(*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) re)
(* re (- (+ (* -1/6 (* (pow re 2) (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))) (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6))) 1))
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64))) re)
(* re (- (+ (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) (* (pow re 2) (+ (* -1/6 (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)) (* 1/120 (* (pow re 2) (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)))))) 1))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) im) im (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) re) re) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) #s(literal -1 binary64))) re)
(* re (- (+ (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) (* (pow re 2) (+ (* -1/6 (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)) (* (pow re 2) (+ (* -1/5040 (* (pow re 2) (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))) (* 1/120 (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))))))) 1))
(*.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) (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 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)))) re)
(* -1 (pow re 2))
(*.f64 (neg.f64 re) re)
(* (pow re 2) (- (* 1/3 (pow re 2)) 1))
(*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 re re) #s(literal -1 binary64)) re) re)
(* (pow re 2) (- (* (pow re 2) (+ 1/3 (* -2/45 (pow re 2)))) 1))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 re re) #s(literal 1/3 binary64)) (*.f64 re re) #s(literal -1 binary64)) re) re)
(* (pow re 2) (- (* (pow re 2) (+ 1/3 (* (pow re 2) (- (* 1/315 (pow re 2)) 2/45)))) 1))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/315 binary64) (*.f64 re re) #s(literal -2/45 binary64)) (*.f64 re re) #s(literal 1/3 binary64)) (*.f64 re re) #s(literal -1 binary64)) re) re)
(* im (* re (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)))
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) im) re)
(* re (+ (* -1/6 (* im (* (pow re 2) (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)))) (* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) (*.f64 re re) im)) re)
(* re (+ (* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)) (* (pow re 2) (+ (* -1/6 (* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))) (* 1/120 (* im (* (pow re 2) (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))))))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) im) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) im) re))
(* re (+ (* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)) (* (pow re 2) (+ (* -1/6 (* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))) (* (pow re 2) (+ (* -1/5040 (* im (* (pow re 2) (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)))) (* 1/120 (* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)))))))))
(*.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 im (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)))) (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) (*.f64 re re) im))) re)
(pow re 2)
(*.f64 re re)
(* (pow re 2) (+ 1 (* -1/3 (pow re 2))))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/3 binary64) (*.f64 re re))
(* (pow re 2) (+ 1 (* (pow re 2) (- (* 2/45 (pow re 2)) 1/3))))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (fma.f64 #s(literal 2/45 binary64) (*.f64 re re) #s(literal -1/3 binary64)) (*.f64 re re))
(* (pow re 2) (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 2/45 (* -1/315 (pow re 2)))) 1/3))))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal -1/315 binary64) (*.f64 re re) #s(literal 2/45 binary64)) (*.f64 re re) #s(literal -1/3 binary64)) (*.f64 re re))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(*.f64 (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 1/2 binary64))
(* 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 (sin re))
(neg.f64 (sin.f64 re))
(* 1/6 (pow re 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 re re))
(* (pow re 2) (- 1/6 (/ 1 (pow re 2))))
(*.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) 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)
(* (sin re) (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))
(*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) (sin.f64 re))
(* -1 (pow (sin re) 2))
(neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64)))
(* im (* (sin re) (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)))
(*.f64 (*.f64 (sin.f64 re) im) (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)))
(pow (sin re) 2)
(pow.f64 (sin.f64 re) #s(literal 2 binary64))
(* -1 (* (pow re 3) (- 1/12 (* 1/2 (/ 1 (pow re 2))))))
(*.f64 (-.f64 #s(literal -1/12 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 re re))) (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 (*.f64 (sin.f64 re) im) (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)))
(* 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 #s(literal -1/5040 binary64) im) im #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 (*.f64 im im) #s(literal -1/3 binary64) #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 (sin re)) (* -1/6 (* (pow im 2) (sin re))))
(*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))
(+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* -1/120 (* (pow im 2) (sin re))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) (sin.f64 re))
(- (* -1/6 (pow im 2)) 1)
(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))
(- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)
(fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64))
(* -1/60 im)
(*.f64 #s(literal -1/60 binary64) im)
(* im (- (* -1/2520 (pow im 2)) 1/60))
(*.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 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))
-2
#s(literal -2 binary64)
(- (* -1/3 (pow im 2)) 2)
(fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64))
(* -1/3 (pow im 2))
(*.f64 (*.f64 im im) #s(literal -1/3 binary64))
-1/6
#s(literal -1/6 binary64)
(- (* -1/120 (pow im 2)) 1/6)
(fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64))
(- (exp (neg im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* -1/120 (* (pow im 4) (sin re)))
(*.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/120 binary64)) (sin.f64 re))
(* (pow im 4) (+ (* -1/6 (/ (sin re) (pow im 2))) (* -1/120 (sin re))))
(*.f64 (*.f64 (sin.f64 re) (+.f64 (/.f64 (/.f64 #s(literal -1/6 binary64) im) im) #s(literal -1/120 binary64))) (pow.f64 im #s(literal 4 binary64)))
(* (pow im 4) (+ (* -1 (/ (sin re) (pow im 4))) (+ (* -1/6 (/ (sin re) (pow im 2))) (* -1/120 (sin re)))))
(*.f64 (fma.f64 (sin.f64 re) (+.f64 (/.f64 (/.f64 #s(literal -1/6 binary64) im) im) #s(literal -1/120 binary64)) (/.f64 (neg.f64 (sin.f64 re)) (pow.f64 im #s(literal 4 binary64)))) (pow.f64 im #s(literal 4 binary64)))
(* -1/120 (pow im 4))
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/120 binary64))
(* -1 (* (pow im 4) (+ 1/120 (* 1/6 (/ 1 (pow im 2))))))
(*.f64 (-.f64 #s(literal -1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 im im))) (pow.f64 im #s(literal 4 binary64)))
(* (pow im 4) (- (* -1 (/ (+ 1/6 (/ 1 (pow im 2))) (pow im 2))) 1/120))
(*.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 im im))) im) im) #s(literal 1/120 binary64)) (pow.f64 im #s(literal 4 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 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) 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 (* (pow im 2) (+ 1/3 (* 2 (/ 1 (pow im 2))))))
(fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64))
(* -1/120 (* (pow im 5) (sin re)))
(*.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal -1/120 binary64)) (sin.f64 re))
(* (pow im 5) (+ (* -1/6 (/ (sin re) (pow im 2))) (* -1/120 (sin re))))
(*.f64 (pow.f64 im #s(literal 5 binary64)) (*.f64 (sin.f64 re) (+.f64 (/.f64 (/.f64 #s(literal -1/6 binary64) im) im) #s(literal -1/120 binary64))))
(* (pow im 5) (+ (* -1 (/ (sin re) (pow im 4))) (+ (* -1/6 (/ (sin re) (pow im 2))) (* -1/120 (sin re)))))
(*.f64 (pow.f64 im #s(literal 5 binary64)) (fma.f64 (sin.f64 re) (+.f64 (/.f64 (/.f64 #s(literal -1/6 binary64) im) im) #s(literal -1/120 binary64)) (/.f64 (neg.f64 (sin.f64 re)) (pow.f64 im #s(literal 4 binary64)))))
(* -1/120 (pow im 2))
(*.f64 (*.f64 im im) #s(literal -1/120 binary64))
(* -1 (* (pow im 2) (+ 1/120 (* 1/6 (/ 1 (pow im 2))))))
(fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(*.f64 (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 1/2 binary64))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* -1 (* (pow im 5) (+ (* 1/120 (sin re)) (* 1/6 (/ (sin re) (pow im 2))))))
(*.f64 (pow.f64 im #s(literal 5 binary64)) (*.f64 (sin.f64 re) (+.f64 (/.f64 (/.f64 #s(literal -1/6 binary64) im) im) #s(literal -1/120 binary64))))
(* -1 (* (pow im 5) (+ (* 1/120 (sin re)) (+ (* 1/6 (/ (sin re) (pow im 2))) (/ (sin re) (pow im 4))))))
(*.f64 (pow.f64 im #s(literal 5 binary64)) (fma.f64 (sin.f64 re) (+.f64 (/.f64 (/.f64 #s(literal -1/6 binary64) im) im) #s(literal -1/120 binary64)) (/.f64 (neg.f64 (sin.f64 re)) (pow.f64 im #s(literal 4 binary64)))))

rewrite263.0ms (2.5%)

Memory
2.6MiB live, 211.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061366
098360
1308345
21914345
08164342
Stop Event
iter limit
node limit
iter limit
Counts
27 → 599
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 (*.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #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 (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #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 (neg (sin re)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) re)) im))
(*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) re)) im)
#s(approx (neg (sin re)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) re))
(fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 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 #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) 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))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
(*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))
(*.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 re))) im))
(*.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 re))) im)
(neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64)))
(*.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im)
(fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64))
#s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im)))
#s(approx (- (exp (neg im)) (exp im)) (*.f64 #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) im))
(*.f64 #s(literal -1/3 binary64) (*.f64 im im))
(*.f64 (*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im)
(fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64))
(pow.f64 (sin.f64 re) #s(literal 2 binary64))
Outputs
(*.f64 (*.f64 #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (*.f64 im im) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) #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 (*.f64 im im) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) #s(literal -2 binary64)) im)) (sin.f64 re)) #s(literal 1/2 binary64))
(*.f64 #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (*.f64 im im) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) #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 (*.f64 im im) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) #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 (*.f64 im im) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) #s(literal -2 binary64)) im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (*.f64 im im) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) #s(literal -2 binary64)) im)) (sin.f64 re)))
(/.f64 (*.f64 #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (*.f64 im im) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) #s(literal -2 binary64)) im)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 re) #s(literal -1 binary64)))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
(/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 re) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64)) (sqrt.f64 (sin.f64 re))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (sin.f64 re))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 re) #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (pow.f64 (sin.f64 re) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (neg.f64 (pow.f64 (sin.f64 re) #s(literal -1 binary64)))))
(*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (*.f64 (pow.f64 (sin.f64 re) #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 re) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64)))) (/.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (pow.f64 (sin.f64 re) #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (pow.f64 (sin.f64 re) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64)))))
(*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 re)))
(*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64)))) (sin.f64 re))
(*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (sin.f64 re) #s(literal -1 binary64)))))
(*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (sin.f64 re) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 re) #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 re) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (sin.f64 re) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64)) (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (sin.f64 re))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 re) #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64)) (pow.f64 (sin.f64 re) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64)) (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64)))) (neg.f64 (sin.f64 re)))
(*.f64 (/.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64)) (pow.f64 (sin.f64 re) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 re) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64)) (pow.f64 (sin.f64 re) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64)) (pow.f64 (sin.f64 re) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64)) (neg.f64 (pow.f64 (sin.f64 re) #s(literal -1 binary64)))))
(*.f64 (/.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 re)))
(*.f64 (/.f64 (neg.f64 (sin.f64 re)) (*.f64 (pow.f64 (sin.f64 re) #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (sin.f64 re) (pow.f64 (sin.f64 re) #s(literal 2 binary64))))
(*.f64 (/.f64 (neg.f64 (sin.f64 re)) (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (/.f64 (sin.f64 re) (neg.f64 (pow.f64 (sin.f64 re) #s(literal -1 binary64)))))
(*.f64 (/.f64 (sin.f64 re) (*.f64 (pow.f64 (sin.f64 re) #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (neg.f64 (sin.f64 re)) (pow.f64 (sin.f64 re) #s(literal 2 binary64))))
(*.f64 (/.f64 (neg.f64 (sin.f64 re)) (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64)))) (pow.f64 (sin.f64 re) #s(literal 2 binary64)))
(*.f64 (/.f64 (neg.f64 (sin.f64 re)) (sin.f64 re)) (/.f64 (sin.f64 re) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 re) (sqrt.f64 (sin.f64 re))) (/.f64 (sin.f64 re) (sqrt.f64 (sin.f64 re))))
(*.f64 (/.f64 (sin.f64 re) (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (/.f64 (neg.f64 (sin.f64 re)) (neg.f64 (pow.f64 (sin.f64 re) #s(literal -1 binary64)))))
(*.f64 (/.f64 (sin.f64 re) (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (pow.f64 (sin.f64 re) #s(literal 2 binary64)))
(*.f64 (/.f64 (sin.f64 re) #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 re)) (sin.f64 re)))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 re)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sin.f64 re)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (sin.f64 re) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (sin.f64 re) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 re)) (/.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 re)) (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (sin.f64 re)) (sqrt.f64 (sin.f64 re)))
(*.f64 (pow.f64 (sin.f64 re) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sin.f64 re) #s(literal -1 binary64)) (pow.f64 (sin.f64 re) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (sin.f64 re))
(*.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 re)))
(*.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64)) (/.f64 (neg.f64 (sin.f64 re)) (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64)) (/.f64 (sin.f64 re) (pow.f64 (sin.f64 re) #s(literal 2 binary64))))
(*.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64)) (pow.f64 (pow.f64 (sin.f64 re) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64)) (pow.f64 (sin.f64 re) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64)) (neg.f64 (sin.f64 re))))
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 re)))
(*.f64 (neg.f64 (sin.f64 re)) (/.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64)) (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64)))))
(*.f64 (neg.f64 (sin.f64 re)) (/.f64 (sin.f64 re) (neg.f64 (sin.f64 re))))
(*.f64 (neg.f64 (sin.f64 re)) #s(literal -1 binary64))
(*.f64 (sin.f64 re) (/.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64)))))
(*.f64 (sin.f64 re) (/.f64 (neg.f64 (sin.f64 re)) (neg.f64 (sin.f64 re))))
(*.f64 (sin.f64 re) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (sin.f64 re)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (sin.f64 re) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sin.f64 re) #s(literal 1 binary64))
(/.f64 (neg.f64 (neg.f64 (sin.f64 re))) #s(literal 1 binary64))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (sin.f64 re))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 re) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sin.f64 re)) (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 re) (pow.f64 (sin.f64 re) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 re) #s(literal -1 binary64)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (neg.f64 (sin.f64 re)))
(/.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64)) (neg.f64 (neg.f64 (sin.f64 re))))
(/.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64)) (sin.f64 re))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sin.f64 re) #s(literal -1 binary64))))
(/.f64 (neg.f64 (sin.f64 re)) #s(literal -1 binary64))
(/.f64 (sin.f64 re) #s(literal 1 binary64))
(sin.f64 re)
(-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 re)) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 re re))) (sin.f64 re)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (sin.f64 re)) #s(literal -1 binary64)) (/.f64 (sin.f64 re) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (sin.f64 re)) (/.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64)) (neg.f64 (sin.f64 re))))
(-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 re) #s(literal -1 binary64)))
(-.f64 (pow.f64 (sin.f64 re) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) (sin.f64 re)))
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(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) im) (sin.f64 re))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) (sin.f64 re)) im)
(*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) (*.f64 (sin.f64 re) im))
(*.f64 im (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) (sin.f64 re)))
(*.f64 (sin.f64 re) (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) im))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (sin.f64 re) im) (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) im)) im) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 re)) im) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 (sin.f64 re) im) (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) im)) im) (*.f64 (*.f64 (*.f64 (sin.f64 re) im) (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) im)) im) (-.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 re)) im) (*.f64 (neg.f64 (sin.f64 re)) im)) (*.f64 (*.f64 (*.f64 (*.f64 (sin.f64 re) im) (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) im)) im) (*.f64 (neg.f64 (sin.f64 re)) im)))))
(/.f64 (+.f64 (pow.f64 (*.f64 im (*.f64 (*.f64 (sin.f64 re) im) (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) im))) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 re)) im) #s(literal 3 binary64))) (fma.f64 (*.f64 im (*.f64 (*.f64 (sin.f64 re) im) (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) im))) (*.f64 im (*.f64 (*.f64 (sin.f64 re) im) (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) im))) (-.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 re)) im) (*.f64 (neg.f64 (sin.f64 re)) im)) (*.f64 (*.f64 im (*.f64 (*.f64 (sin.f64 re) im) (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) im))) (*.f64 (neg.f64 (sin.f64 re)) im)))))
(/.f64 (*.f64 im (sin.f64 re)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) im) (pow.f64 (sin.f64 re) #s(literal -1 binary64)))
(fma.f64 (*.f64 (*.f64 (sin.f64 re) im) (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) im)) im (*.f64 (neg.f64 (sin.f64 re)) im))
(fma.f64 im (*.f64 (*.f64 (sin.f64 re) im) (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) im)) (*.f64 (neg.f64 (sin.f64 re)) im))
(+.f64 (*.f64 (*.f64 (*.f64 (sin.f64 re) im) (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) im)) im) (*.f64 (neg.f64 (sin.f64 re)) im))
(+.f64 (*.f64 im (*.f64 (*.f64 (sin.f64 re) im) (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) im))) (*.f64 (neg.f64 (sin.f64 re)) im))
(*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/14400 binary64) (pow.f64 im #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 im im)))))
(*.f64 (neg.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal 1/6 binary64)))))
(*.f64 (neg.f64 (fma.f64 #s(literal -1/1728000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 im im) #s(literal 1/720 binary64)))))))
(*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1/1728000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 (*.f64 im im) #s(literal 1/720 binary64))))))
(*.f64 (fma.f64 #s(literal -1/1728000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216 binary64)) (pow.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 im im) #s(literal 1/720 binary64)))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal 1/6 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal 1/6 binary64))) (/.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal 1/6 binary64))) (fma.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal 1/6 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal 1/6 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/14400 binary64) (pow.f64 im #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 im im)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/36 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal 1/6 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/1728000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 im im) #s(literal 1/720 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal 1/6 binary64))) (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal 1/6 binary64)) #s(literal 1/36 binary64))) (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal 1/6 binary64)) (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal 1/6 binary64))))
(/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/14400 binary64) (pow.f64 im #s(literal 4 binary64)))) (-.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 im im))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/36 binary64))) (neg.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/1728000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216 binary64))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 (*.f64 im im) #s(literal 1/720 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/1728000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216 binary64))) (neg.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 im im) #s(literal 1/720 binary64))))))
(/.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/36 binary64)) (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal 1/6 binary64)))
(/.f64 (fma.f64 #s(literal -1/1728000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 (*.f64 im im) #s(literal 1/720 binary64)))))
(/.f64 (fma.f64 #s(literal -1/1728000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216 binary64)) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 im im) #s(literal 1/720 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 im im))) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/14400 binary64) (pow.f64 im #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 (*.f64 im im) #s(literal 1/720 binary64)))) (fma.f64 #s(literal -1/1728000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)))))
(fma.f64 (*.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64))
(fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64))
(fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64))
(fma.f64 im (*.f64 #s(literal -1/120 binary64) im) #s(literal -1/6 binary64))
(-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 im im)))) (/.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 im #s(literal 4 binary64))) (-.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 im im)))))
(-.f64 (/.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal 1/6 binary64))))
(+.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal -1/6 binary64))
(+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 im im)))
(*.f64 (pow.f64 (pow.f64 (sin.f64 re) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (sin.f64 re) #s(literal 4 binary64)))
(*.f64 (pow.f64 (sin.f64 re) #s(literal 4 binary64)) (pow.f64 (pow.f64 (sin.f64 re) #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (-.f64 (cos.f64 (-.f64 re re)) (cos.f64 (+.f64 re re))) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (neg.f64 (sin.f64 re)) (neg.f64 (sin.f64 re)))
(*.f64 (sin.f64 re) (sin.f64 re))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sin.f64 re)))
(pow.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (neg.f64 (sin.f64 re)) #s(literal 2 binary64))
(pow.f64 (sin.f64 re) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) (pow.f64 (cos.f64 re) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 re re))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 re re))) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 re re))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 re re)))))))
(/.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 re re)) (cos.f64 (+.f64 re re)))) #s(literal -2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 re re)) (cos.f64 (+.f64 re re))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 re re)) (cos.f64 (+.f64 re re)))))
(/.f64 (neg.f64 (sin.f64 re)) (/.f64 #s(literal -1 binary64) (sin.f64 re)))
(/.f64 (sin.f64 re) (pow.f64 (sin.f64 re) #s(literal -1 binary64)))
(-.f64 (/.f64 (cos.f64 (-.f64 re re)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 re re)) #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 re re))))
(exp.f64 (+.f64 (log.f64 (sin.f64 re)) (log.f64 (sin.f64 re))))
(exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 re)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (sin.f64 re)) #s(literal 2 binary64)))

eval197.0ms (1.9%)

Memory
-2.9MiB live, 186.0MiB allocated
Compiler

Compiled 34 769 to 4 287 computations (87.7% saved)

prune187.0ms (1.8%)

Memory
-9.6MiB live, 113.7MiB allocated
Pruning

35 alts after pruning (29 fresh and 6 done)

PrunedKeptTotal
New91118929
Fresh91120
Picked415
Done055
Total92435959
Accuracy
100.0%
Counts
959 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
17.7%
(*.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))))
64.6%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
53.9%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* -1/3 (* im im)) 2) (* (+ (* (pow im 4) 1/9) -4) im)) (/.f64 #s(literal -1/2 binary64) im)))))
93.9%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)))) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
93.9%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
93.7%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 #s(literal -1/2520 binary64) (*.f64 im im))) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
83.6%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64)) im)))
42.0%
(*.f64 #s(approx (* 1/2 (sin re)) (/.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) im)))
26.0%
(*.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 #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) im)))
53.3%
(*.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 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
40.9%
(*.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 #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) im)))
51.4%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
59.8%
(*.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 (*.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)))
53.3%
(*.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 #s(literal -1/3 binary64) im) im #s(literal -2 binary64)) im)))
48.5%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))) im) (sin.f64 re)))
53.9%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 im (/.f64 #s(literal -1 binary64) (sin.f64 re))))
89.4%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) (*.f64 (sin.f64 re) im)))
41.0%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (pow.f64 (sin.f64 re) #s(literal -1 binary64))) (/.f64 im (pow.f64 (sin.f64 re) #s(literal 2 binary64)))))
37.4%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (sqrt.f64 (sin.f64 re))) (/.f64 im (sqrt.f64 (sin.f64 re)))))
89.4%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
88.9%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) -1/120) -1/6) (*.f64 (*.f64 im im) #s(literal -1/120 binary64))) #s(literal -1 binary64))) im))
80.3%
#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))))
40.6%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 re re)) (cos.f64 (+.f64 re re)))))) (/.f64 #s(literal 1 binary64) (sin.f64 re))) im))
40.6%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 re re))))) (/.f64 #s(literal 1 binary64) (sin.f64 re))) im))
54.0%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 (sin.f64 re)) im))
60.1%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64))) re)) im))
32.6%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 re re)) (+.f64 #s(literal 0 binary64) re))) im))
40.1%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 (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)) (*.f64 re re) #s(literal -1 binary64)) re)) im))
38.2%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) re)) im))
38.0%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64)) re)) im))
39.5%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 #s(approx (+ (* 1/6 (* re re)) -1) (*.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re)) re)) im))
24.6%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 #s(approx (+ (* 1/6 (* re re)) -1) (*.f64 #s(literal 1/6 binary64) (*.f64 re re))) re)) im))
34.2%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
58.2%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) im) re)))
38.2%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) 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)))
Compiler

Compiled 2 819 to 1 141 computations (59.5% saved)

regimes102.0ms (1%)

Memory
8.4MiB live, 205.1MiB allocated
Counts
60 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 #s(approx (+ (* 1/6 (* re re)) -1) (*.f64 #s(literal 1/6 binary64) (*.f64 re re))) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64)) re)) 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 #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) 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 #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 #s(literal -1/3 binary64) 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 #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 (neg (sin re)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 re re)) (+.f64 #s(literal 0 binary64) re))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) 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)))
(*.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 #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) 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 #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) 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 #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 (neg (sin re)) (*.f64 #s(approx (+ (* 1/6 (* re re)) -1) (*.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 (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)) (*.f64 re re) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64))) re)) 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 (*.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)) (*.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 re (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.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)) 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 #s(approx (* 1/2 (sin re)) (*.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)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (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 (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)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 (sin.f64 re)) im))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 #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))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 im (/.f64 #s(literal -1 binary64) (sin.f64 re))))
(*.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 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) -1/120) -1/6) (*.f64 (*.f64 im im) #s(literal -1/120 binary64))) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) (*.f64 (sin.f64 re) im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* -1/3 (* im im)) 2) (* (+ (* (pow im 4) 1/9) -4) im)) (/.f64 #s(literal -1/2 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)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) 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(approx (+ (* -1/2520 (* im im)) -1/60) (*.f64 #s(literal -1/2520 binary64) (*.f64 im im))) (*.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 (*.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 #s(literal -1/2520 binary64) (*.f64 im im))) 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 (*.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) 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 (*.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 (*.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 (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)))) 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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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(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 (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))))
(*.f64 #s(approx (* 1/2 (sin re)) (*.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)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 re re))))) (/.f64 #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 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im)))))
(*.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 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))) im) (sin.f64 re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 re))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 re) (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 re re)) (cos.f64 (+.f64 re re)))))) (/.f64 #s(literal 1 binary64) (sin.f64 re))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 re) (sin.f64 re) #s(literal 0 binary64)))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 re) (sin.f64 re) #s(literal 0 binary64)) (neg.f64 (pow.f64 (sin.f64 re) #s(literal 3 binary64))))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (sqrt.f64 (sin.f64 re))) (/.f64 im (sqrt.f64 (sin.f64 re)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 im (sin.f64 re)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 im (sin.f64 re)) (*.f64 im (sin.f64 re)) (*.f64 #s(literal 0 binary64) (*.f64 im (sin.f64 re)))))))
(*.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))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (pow.f64 (sin.f64 re) #s(literal -1 binary64))) (/.f64 im (pow.f64 (sin.f64 re) #s(literal 2 binary64)))))
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 (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))))
Calls

6 calls:

19.0ms
im
18.0ms
re
18.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
17.0ms
(sin.f64 re)
15.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
93.9%1re
99.9%2im
99.9%3(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
93.9%1(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
93.9%1(sin.f64 re)
99.9%2(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
Compiler

Compiled 25 to 28 computations (-12% saved)

regimes75.0ms (0.7%)

Memory
1.6MiB live, 137.3MiB allocated
Counts
49 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 #s(approx (+ (* 1/6 (* re re)) -1) (*.f64 #s(literal 1/6 binary64) (*.f64 re re))) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64)) re)) 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 #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) 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 #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 #s(literal -1/3 binary64) 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 #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 (neg (sin re)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 re re)) (+.f64 #s(literal 0 binary64) re))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) 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)))
(*.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 #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) 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 #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) 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 #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 (neg (sin re)) (*.f64 #s(approx (+ (* 1/6 (* re re)) -1) (*.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 (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)) (*.f64 re re) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64))) re)) 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 (*.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)) (*.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 re (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.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)) 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 #s(approx (* 1/2 (sin re)) (*.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)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (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 (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)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 (sin.f64 re)) im))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 #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))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 im (/.f64 #s(literal -1 binary64) (sin.f64 re))))
(*.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 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) -1/120) -1/6) (*.f64 (*.f64 im im) #s(literal -1/120 binary64))) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) (*.f64 (sin.f64 re) im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* -1/3 (* im im)) 2) (* (+ (* (pow im 4) 1/9) -4) im)) (/.f64 #s(literal -1/2 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)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) 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(approx (+ (* -1/2520 (* im im)) -1/60) (*.f64 #s(literal -1/2520 binary64) (*.f64 im im))) (*.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 (*.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 #s(literal -1/2520 binary64) (*.f64 im im))) 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 (*.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) 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 (*.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 (*.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 (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)))) 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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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(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 (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))))
(*.f64 #s(approx (* 1/2 (sin re)) (*.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)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 re re))))) (/.f64 #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 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) 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 (*.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
Calls

3 calls:

28.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
24.0ms
im
18.0ms
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
Results
AccuracySegmentsBranch
98.1%2(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
98.0%3im
93.9%1(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
Compiler

Compiled 18 to 18 computations (0% saved)

regimes42.0ms (0.4%)

Memory
-6.3MiB live, 71.6MiB allocated
Counts
44 → 1
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 #s(approx (+ (* 1/6 (* re re)) -1) (*.f64 #s(literal 1/6 binary64) (*.f64 re re))) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64)) re)) 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 #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) 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 #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 #s(literal -1/3 binary64) 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 #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 (neg (sin re)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 re re)) (+.f64 #s(literal 0 binary64) re))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) 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)))
(*.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 #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) 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 #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) 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 #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 (neg (sin re)) (*.f64 #s(approx (+ (* 1/6 (* re re)) -1) (*.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 (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)) (*.f64 re re) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64))) re)) 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 (*.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)) (*.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 re (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.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)) 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 #s(approx (* 1/2 (sin re)) (*.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)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (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 (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)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 (sin.f64 re)) im))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 #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))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 im (/.f64 #s(literal -1 binary64) (sin.f64 re))))
(*.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 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) -1/120) -1/6) (*.f64 (*.f64 im im) #s(literal -1/120 binary64))) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) (*.f64 (sin.f64 re) im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* -1/3 (* im im)) 2) (* (+ (* (pow im 4) 1/9) -4) im)) (/.f64 #s(literal -1/2 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)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) 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(approx (+ (* -1/2520 (* im im)) -1/60) (*.f64 #s(literal -1/2520 binary64) (*.f64 im im))) (*.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 (*.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 #s(literal -1/2520 binary64) (*.f64 im im))) 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 (*.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) 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 (*.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 (*.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 (/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)))) 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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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)))
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
Calls

3 calls:

16.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
14.0ms
im
8.0ms
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
Results
AccuracySegmentsBranch
93.9%1(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
93.9%1im
93.9%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)

regimes107.0ms (1%)

Memory
-16.3MiB live, 101.3MiB allocated
Counts
39 → 1
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 #s(approx (+ (* 1/6 (* re re)) -1) (*.f64 #s(literal 1/6 binary64) (*.f64 re re))) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64)) re)) 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 #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) 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 #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 #s(literal -1/3 binary64) 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 #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 (neg (sin re)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 re re)) (+.f64 #s(literal 0 binary64) re))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) 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)))
(*.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 #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) 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 #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) 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 #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 (neg (sin re)) (*.f64 #s(approx (+ (* 1/6 (* re re)) -1) (*.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 (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)) (*.f64 re re) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64))) re)) 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 (*.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)) (*.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 re (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.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)) 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 #s(approx (* 1/2 (sin re)) (*.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)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (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 (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)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 (sin.f64 re)) im))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 #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))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 im (/.f64 #s(literal -1 binary64) (sin.f64 re))))
(*.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 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) -1/120) -1/6) (*.f64 (*.f64 im im) #s(literal -1/120 binary64))) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) (*.f64 (sin.f64 re) im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* -1/3 (* im im)) 2) (* (+ (* (pow im 4) 1/9) -4) im)) (/.f64 #s(literal -1/2 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)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) 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(approx (+ (* -1/2520 (* im im)) -1/60) (*.f64 #s(literal -1/2520 binary64) (*.f64 im im))) (*.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 (*.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) (*.f64 #s(literal -1/2520 binary64) (*.f64 im im))) im) im #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 #s(approx (+ (* -1/2520 (* im im)) -1/60) (*.f64 #s(literal -1/2520 binary64) (*.f64 im im))) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
Calls

6 calls:

53.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
11.0ms
(sin.f64 re)
10.0ms
re
10.0ms
im
9.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
93.7%1re
93.7%1im
93.7%1(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
93.7%1(sin.f64 re)
93.7%1(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
93.7%1(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
Compiler

Compiled 25 to 28 computations (-12% saved)

regimes67.0ms (0.6%)

Memory
22.9MiB live, 98.3MiB allocated
Counts
37 → 3
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 #s(approx (+ (* 1/6 (* re re)) -1) (*.f64 #s(literal 1/6 binary64) (*.f64 re re))) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64)) re)) 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 #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) 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 #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 #s(literal -1/3 binary64) 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 #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 (neg (sin re)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 re re)) (+.f64 #s(literal 0 binary64) re))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) 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)))
(*.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 #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) 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 #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) 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 #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 (neg (sin re)) (*.f64 #s(approx (+ (* 1/6 (* re re)) -1) (*.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 (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)) (*.f64 re re) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64))) re)) 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 (*.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)) (*.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 re (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.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)) 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 #s(approx (* 1/2 (sin re)) (*.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)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (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 (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)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 (sin.f64 re)) im))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 #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))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 im (/.f64 #s(literal -1 binary64) (sin.f64 re))))
(*.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 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) -1/120) -1/6) (*.f64 (*.f64 im im) #s(literal -1/120 binary64))) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) (*.f64 (sin.f64 re) im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* -1/3 (* im im)) 2) (* (+ (* (pow im 4) 1/9) -4) im)) (/.f64 #s(literal -1/2 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)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) 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 (*.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 (*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64))) re)) im))
Calls

6 calls:

17.0ms
im
13.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
10.0ms
(sin.f64 re)
10.0ms
re
7.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
90.2%1re
93.8%3im
90.2%1(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
96.5%3(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
90.2%1(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
90.2%1(sin.f64 re)
Compiler

Compiled 25 to 28 computations (-12% saved)

regimes8.0ms (0.1%)

Memory
13.3MiB live, 13.3MiB allocated
Counts
31 → 3
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 #s(approx (+ (* 1/6 (* re re)) -1) (*.f64 #s(literal 1/6 binary64) (*.f64 re re))) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64)) re)) 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 #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) 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 #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 #s(literal -1/3 binary64) 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 #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 (neg (sin re)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 re re)) (+.f64 #s(literal 0 binary64) re))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) 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)))
(*.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 #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) 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 #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) 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 #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 (neg (sin re)) (*.f64 #s(approx (+ (* 1/6 (* re re)) -1) (*.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 (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)) (*.f64 re re) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64))) re)) 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 (*.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)) (*.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 re (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.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)) 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 #s(approx (* 1/2 (sin re)) (*.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)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (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 (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)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 (sin.f64 re)) im))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 #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))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 im (/.f64 #s(literal -1 binary64) (sin.f64 re))))
(*.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 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) -1/120) -1/6) (*.f64 (*.f64 im im) #s(literal -1/120 binary64))) #s(literal -1 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 (*.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 (*.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)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64))) re)) im))
Calls

1 calls:

6.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
96.3%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)

regimes30.0ms (0.3%)

Memory
-31.0MiB live, 13.1MiB allocated
Counts
28 → 3
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 #s(approx (+ (* 1/6 (* re re)) -1) (*.f64 #s(literal 1/6 binary64) (*.f64 re re))) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64)) re)) 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 #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) 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 #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 #s(literal -1/3 binary64) 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 #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 (neg (sin re)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 re re)) (+.f64 #s(literal 0 binary64) re))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) 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)))
(*.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 #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) 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 #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) 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 #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 (neg (sin re)) (*.f64 #s(approx (+ (* 1/6 (* re re)) -1) (*.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 (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)) (*.f64 re re) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64))) re)) 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 (*.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)) (*.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 re (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.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)) 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 #s(approx (* 1/2 (sin re)) (*.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)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (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 (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)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 (sin.f64 re)) im))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 #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))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 im (/.f64 #s(literal -1 binary64) (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 (*.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 (*.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 #s(approx (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64))) re)) im))
Calls

1 calls:

28.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
96.3%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)

regimes7.0ms (0.1%)

Memory
12.5MiB live, 12.5MiB allocated
Counts
26 → 3
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 #s(approx (+ (* 1/6 (* re re)) -1) (*.f64 #s(literal 1/6 binary64) (*.f64 re re))) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64)) re)) 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 #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) 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 #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 #s(literal -1/3 binary64) 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 #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 (neg (sin re)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 re re)) (+.f64 #s(literal 0 binary64) re))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) 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)))
(*.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 #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) 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 #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) 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 #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 (neg (sin re)) (*.f64 #s(approx (+ (* 1/6 (* re re)) -1) (*.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 (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)) (*.f64 re re) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64))) re)) 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 (*.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)) (*.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 re (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.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)) 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 #s(approx (* 1/2 (sin re)) (*.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)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (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 (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)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 (sin.f64 re)) im))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 #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 (*.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 (neg.f64 (sin.f64 re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64))) re)) im))
Calls

1 calls:

6.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
96.2%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)

regimes46.0ms (0.4%)

Memory
5.5MiB live, 78.7MiB allocated
Counts
24 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 #s(approx (+ (* 1/6 (* re re)) -1) (*.f64 #s(literal 1/6 binary64) (*.f64 re re))) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64)) re)) 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 #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) 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 #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 #s(literal -1/3 binary64) 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 #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 (neg (sin re)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 re re)) (+.f64 #s(literal 0 binary64) re))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) 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)))
(*.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 #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) 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 #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) 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 #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 (neg (sin re)) (*.f64 #s(approx (+ (* 1/6 (* re re)) -1) (*.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 (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)) (*.f64 re re) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64))) re)) 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 (*.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)) (*.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 re (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))))) #s(approx (- (exp (neg im)) (exp im)) (*.f64 #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.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)) 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 #s(approx (* 1/2 (sin re)) (*.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)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (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 (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)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64)) im)))
Outputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64))) re)) 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 (*.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)))
Calls

6 calls:

10.0ms
im
9.0ms
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
7.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
7.0ms
(sin.f64 re)
7.0ms
re
Results
AccuracySegmentsBranch
63.0%2re
60.1%1(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
72.4%2(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
72.4%2(sin.f64 re)
63.3%2im
72.3%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)

regimes20.0ms (0.2%)

Memory
-3.2MiB live, 32.9MiB allocated
Counts
18 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 #s(approx (+ (* 1/6 (* re re)) -1) (*.f64 #s(literal 1/6 binary64) (*.f64 re re))) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64)) re)) 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 #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) 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 #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 #s(literal -1/3 binary64) 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 #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 (neg (sin re)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 re re)) (+.f64 #s(literal 0 binary64) re))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) 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)))
(*.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 #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) 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 #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) 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 #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 (neg (sin re)) (*.f64 #s(approx (+ (* 1/6 (* re re)) -1) (*.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 (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)) (*.f64 re re) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64))) re)) im))
Outputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64))) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) im) re)))
Calls

3 calls:

8.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
6.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
5.0ms
(sin.f64 re)
Results
AccuracySegmentsBranch
70.7%2(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
70.8%2(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
70.8%2(sin.f64 re)
Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes20.0ms (0.2%)

Memory
-11.3MiB live, 36.1MiB allocated
Counts
17 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 #s(approx (+ (* 1/6 (* re re)) -1) (*.f64 #s(literal 1/6 binary64) (*.f64 re re))) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64)) re)) 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 #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) 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 #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 #s(literal -1/3 binary64) 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 #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 (neg (sin re)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 re re)) (+.f64 #s(literal 0 binary64) re))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) 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)))
(*.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 #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) 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 #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) 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 #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 (neg (sin re)) (*.f64 #s(approx (+ (* 1/6 (* re re)) -1) (*.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 (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)) (*.f64 re re) #s(literal -1 binary64)) re)) im))
Outputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 (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)) (*.f64 re re) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) im) re)))
Calls

3 calls:

8.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
5.0ms
(sin.f64 re)
5.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
Results
AccuracySegmentsBranch
70.0%2(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
70.0%2(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
70.0%2(sin.f64 re)
Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes15.0ms (0.1%)

Memory
25.7MiB live, 25.7MiB allocated
Counts
16 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 #s(approx (+ (* 1/6 (* re re)) -1) (*.f64 #s(literal 1/6 binary64) (*.f64 re re))) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64)) re)) 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 #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) 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 #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 #s(literal -1/3 binary64) 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 #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 (neg (sin re)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 re re)) (+.f64 #s(literal 0 binary64) re))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) 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)))
(*.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 #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) 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 #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) 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 #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 (neg (sin re)) (*.f64 #s(approx (+ (* 1/6 (* re re)) -1) (*.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re)) re)) 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 #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 (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) 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
69.3%2(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
69.4%2(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
69.4%2(sin.f64 re)
Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes12.0ms (0.1%)

Memory
-17.1MiB live, 21.0MiB allocated
Counts
14 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 #s(approx (+ (* 1/6 (* re re)) -1) (*.f64 #s(literal 1/6 binary64) (*.f64 re re))) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64)) re)) 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 #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) 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 #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 #s(literal -1/3 binary64) 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 #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 (neg (sin re)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 re re)) (+.f64 #s(literal 0 binary64) re))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) 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)))
(*.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 #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) 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 #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) 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 #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) im) re)))
Calls

2 calls:

7.0ms
(sin.f64 re)
4.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
Results
AccuracySegmentsBranch
69.3%2(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
69.3%2(sin.f64 re)
Compiler

Compiled 6 to 8 computations (-33.3% saved)

regimes14.0ms (0.1%)

Memory
-6.9MiB live, 31.2MiB allocated
Counts
12 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 #s(approx (+ (* 1/6 (* re re)) -1) (*.f64 #s(literal 1/6 binary64) (*.f64 re re))) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64)) re)) 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 #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) 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 #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 #s(literal -1/3 binary64) 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 #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 (neg (sin re)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 re re)) (+.f64 #s(literal 0 binary64) re))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) 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)))
Outputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 #s(approx (+ (* 1/6 (* re re)) -1) (*.f64 #s(literal 1/6 binary64) (*.f64 re re))) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) im) re)))
Calls

3 calls:

5.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
4.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
4.0ms
(sin.f64 re)
Results
AccuracySegmentsBranch
67.8%2(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
67.9%2(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
67.9%2(sin.f64 re)
Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes16.0ms (0.2%)

Memory
35.7MiB live, 35.7MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 #s(approx (+ (* 1/6 (* re re)) -1) (*.f64 #s(literal 1/6 binary64) (*.f64 re re))) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64)) re)) 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 #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) 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 #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 #s(literal -1/3 binary64) 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 #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 (neg (sin re)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 re re)) (+.f64 #s(literal 0 binary64) re))) im))
Outputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 #s(approx (+ (* 1/6 (* re re)) -1) (*.f64 #s(literal 1/6 binary64) (*.f64 re re))) re)) 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 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
Calls

5 calls:

3.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
3.0ms
(sin.f64 re)
3.0ms
im
3.0ms
re
2.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
55.3%2re
53.3%1im
62.8%2(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
62.9%2(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
62.9%2(sin.f64 re)
Compiler

Compiled 19 to 22 computations (-15.8% saved)

regimes9.0ms (0.1%)

Memory
-26.2MiB live, 12.6MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 #s(approx (+ (* 1/6 (* re re)) -1) (*.f64 #s(literal 1/6 binary64) (*.f64 re re))) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64)) re)) 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 #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) im)))
Outputs
(*.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 #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) re)) im))
Calls

3 calls:

4.0ms
(sin.f64 re)
2.0ms
(*.f64 #s(literal 1/2 binary64) (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
62.3%2(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
53.9%4(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
53.9%4(sin.f64 re)
Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes11.0ms (0.1%)

Memory
24.5MiB live, 24.5MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 #s(approx (+ (* 1/6 (* re re)) -1) (*.f64 #s(literal 1/6 binary64) (*.f64 re re))) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64)) re)) im))
Outputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 #s(approx (+ (* 1/6 (* re re)) -1) (*.f64 #s(literal 1/6 binary64) (*.f64 re re))) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
Calls

6 calls:

2.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
2.0ms
(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
43.9%2(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
43.9%2(sin.f64 re)
38.0%1im
38.0%1re
38.0%1(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
43.8%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)

regimes52.0ms (0.5%)

Memory
-32.7MiB live, 14.7MiB 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))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
Outputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
Calls

6 calls:

46.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
1.0ms
im
1.0ms
(sin.f64 re)
1.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
1.0ms
re
Results
AccuracySegmentsBranch
34.2%1re
34.2%1im
34.2%1(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
34.2%1(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
34.2%1(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
34.2%1(sin.f64 re)
Compiler

Compiled 25 to 28 computations (-12% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.08145613869890678
-0.0030119347975771094
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
-0.0005612555858220391
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
11590429.4029082
+inf
0.0ms
-inf
-0.0005612555858220391
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
11590429.4029082
+inf
0.0ms
-inf
-0.0005612555858220391
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
11590429.4029082
+inf
0.0ms
-inf
-0.0005612555858220391
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
11590429.4029082
+inf
0.0ms
-4.483828384481445e-249
-1.32842197706e-313
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
-0.004783816244235883
1.8751689811937546e-308
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
5.606269350267834e-268
4.998823244408199e-265
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
-0.004783816244235883
1.8751689811937546e-308
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
-0.004783816244235883
1.8751689811937546e-308
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
-0.004783816244235883
1.8751689811937546e-308
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
-0.004783816244235883
1.8751689811937546e-308
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
-0.004783816244235883
1.8751689811937546e-308
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.0005612555858220391
-6.100095836453663e-45
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
-0.004783816244235883
1.8751689811937546e-308
Compiler

Compiled 14 to 15 computations (-7.1% saved)

simplify88.0ms (0.8%)

Memory
8.4MiB live, 46.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01801469
12441469
23871469
37191459
412521459
520631459
645381459
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -3602879701896397/72057594037927936 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 (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)))))
(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)) (*.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 (*.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) 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 (*.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) 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(approx (+ (* -1/2520 (* im im)) -1/60) (*.f64 #s(literal -1/2520 binary64) (*.f64 im im))) (*.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)) (*.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 (*.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))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 20000000 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) #s(literal -1 binary64))) im)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64))) 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 -inf.0 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 (*.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))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 20000000 binary64)) (*.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))) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64))) 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 -inf.0 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 (*.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))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 20000000 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 #s(approx (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64))) 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 -8061134813471455/2015283703367863641175612582841936517787350944656835640441744648081489191271686017892521880674961806849191265080479159083871259916315786503793865121700056369432017074581165634798933096605020298206421786911816362015335190936094519572595203013485093980749277423468544 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 (*.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))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 20000000 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 (sin.f64 re)) im)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64))) re)) im))))
(if (<=.f64 (sin.f64 re) #s(literal -1152921504606847/288230376151711744 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64))) re)) 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 (*.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))))
(if (<=.f64 (sin.f64 re) #s(literal 290432989937067/290432989937067004452746581669902453150636758136600480284330441272644659601641479208040686425030537224570063240272065048916911180770489396052896597871561450348236492274894506629430939420761276732468592926240515079310107169312085954718183386786847281838290059659012482973391669690368 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64))) re)) im)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) im) re))))
(if (<=.f64 (sin.f64 re) #s(literal -1152921504606847/288230376151711744 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 (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)) (*.f64 re re) #s(literal -1 binary64)) re)) im)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) im) re))))
(if (<=.f64 (sin.f64 re) #s(literal -1152921504606847/288230376151711744 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 #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 (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) im) re))))
(if (<=.f64 (sin.f64 re) #s(literal -1152921504606847/288230376151711744 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 #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) im))) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) im) re))))
(if (<=.f64 (sin.f64 re) #s(literal -1152921504606847/288230376151711744 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 #s(approx (+ (* 1/6 (* re re)) -1) (*.f64 #s(literal 1/6 binary64) (*.f64 re re))) re)) im)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) im) re))))
(if (<=.f64 (sin.f64 re) #s(literal -1152921504606847/288230376151711744 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 #s(approx (+ (* 1/6 (* re re)) -1) (*.f64 #s(literal 1/6 binary64) (*.f64 re re))) re)) 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 #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 -1152921504606847/2305843009213693952 binary64)) (*.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 #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) im))) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) re)) im)))
(if (<=.f64 (sin.f64 re) #s(literal -1152921504606847/288230376151711744 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 #s(approx (+ (* 1/6 (* re re)) -1) (*.f64 #s(literal 1/6 binary64) (*.f64 re re))) re)) im)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
Outputs
(if (<=.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -3602879701896397/72057594037927936 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 (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)))))
(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)) (*.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 (*.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) 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 (*.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) 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(approx (+ (* -1/2520 (* im im)) -1/60) (*.f64 #s(literal -1/2520 binary64) (*.f64 im im))) (*.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)) (*.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 (*.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))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 20000000 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) #s(literal -1 binary64))) im)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64))) 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 -inf.0 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 (*.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))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 20000000 binary64)) (*.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))) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64))) 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 -inf.0 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 (*.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))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 20000000 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 #s(approx (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64))) 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 -8061134813471455/2015283703367863641175612582841936517787350944656835640441744648081489191271686017892521880674961806849191265080479159083871259916315786503793865121700056369432017074581165634798933096605020298206421786911816362015335190936094519572595203013485093980749277423468544 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 (*.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))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 20000000 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 (sin.f64 re)) im)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64))) re)) im))))
(if (<=.f64 (sin.f64 re) #s(literal -1152921504606847/288230376151711744 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64))) re)) 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 (*.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))))
(if (<=.f64 (sin.f64 re) #s(literal 290432989937067/290432989937067004452746581669902453150636758136600480284330441272644659601641479208040686425030537224570063240272065048916911180770489396052896597871561450348236492274894506629430939420761276732468592926240515079310107169312085954718183386786847281838290059659012482973391669690368 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64))) re)) im)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) im) re))))
(if (<=.f64 (sin.f64 re) #s(literal -1152921504606847/288230376151711744 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 (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)) (*.f64 re re) #s(literal -1 binary64)) re)) im)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) im) re))))
(if (<=.f64 (sin.f64 re) #s(literal -1152921504606847/288230376151711744 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 #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 (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) im) re))))
(if (<=.f64 (sin.f64 re) #s(literal -1152921504606847/288230376151711744 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 #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) im))) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) im) re))))
(if (<=.f64 (sin.f64 re) #s(literal -1152921504606847/288230376151711744 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 #s(approx (+ (* 1/6 (* re re)) -1) (*.f64 #s(literal 1/6 binary64) (*.f64 re re))) re)) im)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) im) re))))
(if (<=.f64 (sin.f64 re) #s(literal -1152921504606847/288230376151711744 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 #s(approx (+ (* 1/6 (* re re)) -1) (*.f64 #s(literal 1/6 binary64) (*.f64 re re))) re)) 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 #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 -1152921504606847/2305843009213693952 binary64)) (*.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 #s(approx (+ (* -1/3 (* im im)) -2) (*.f64 #s(literal -1/3 binary64) (*.f64 im im))) im))) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) re)) im)))
(if (<=.f64 (sin.f64 re) #s(literal -1152921504606847/288230376151711744 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 #s(approx (+ (* 1/6 (* re re)) -1) (*.f64 #s(literal 1/6 binary64) (*.f64 re re))) re)) im)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))

soundness1.9s (18.1%)

Memory
-5.6MiB live, 1 294.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043233
075233
1206233
21184233
08224233
0136402
1387368
21088356
33808335
46623335
08442302
03171402
19751318
232161212
375491210
081701101
0246792
1720749
22271740
35081730
08226674
056323
093305
1290291
21660291
08449291
061366
098360
1308345
21914345
08164342
0208677
1629634
21954624
34197613
47123613
08141557
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 2 149 to 809 computations (62.4% saved)

preprocess469.0ms (4.5%)

Memory
33.1MiB live, 265.1MiB allocated
Remove

(negabs re)

Compiler

Compiled 3 324 to 636 computations (80.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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