math.sin on complex, real part

Time bar (total: 7.3s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
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 14 to 13 computations (7.1% saved)

sample1.2s (16.9%)

Memory
20.5MiB live, 1 450.5MiB allocated; 194ms collecting garbage
Samples
878.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 636.0ms
ival-exp: 210.0ms (33% of total)
ival-sin: 188.0ms (29.5% of total)
ival-mult: 106.0ms (16.7% of total)
ival-sub: 74.0ms (11.6% of total)
ival-add: 36.0ms (5.7% of total)
exact: 9.0ms (1.4% of total)
ival-true: 6.0ms (0.9% of total)
ival-assert: 3.0ms (0.5% of total)
adjust: 2.0ms (0.3% of total)
Bogosity

explain156.0ms (2.1%)

Memory
20.9MiB live, 156.0MiB allocated; 25ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
00-0-(exp.f64 im)
00-0-(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
00-0-(sin.f64 re)
00-0-#s(literal 0 binary64)
00-0-im
00-0-(-.f64 #s(literal 0 binary64) im)
00-0-(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
00-0-re
00-0-#s(literal 1/2 binary64)
01(-1.9640282694361052e+166 108.93160327043962)0-(exp.f64 (-.f64 #s(literal 0 binary64) im))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
exp.f64(exp.f64 (-.f64 #s(literal 0 binary64) im))sensitivity11
Confusion
Predicted +Predicted -
+00
-1255
Precision
0.0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-11254
Precision?
0.0
Recall?
0/0
Freqs
test
numberfreq
0255
11
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-100
Precision?
0.0
Recall?
0/0
Samples
47.0ms510×0valid
1.0ms3valid
Compiler

Compiled 92 to 37 computations (59.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-sin: 12.0ms (38.7% of total)
ival-exp: 7.0ms (22.6% of total)
ival-mult: 6.0ms (19.3% of total)
ival-sub: 2.0ms (6.4% of total)
ival-add: 2.0ms (6.4% of total)
exact: 1.0ms (3.2% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess173.0ms (2.4%)

Memory
-33.3MiB live, 160.3MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
02961
110355
243555
3161355
4752755
01112
01811
13811
211611
351311
423637
086227
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
(*.f64 (*.f64 (cosh.f64 im) (sin.f64 re)) #s(literal 1 binary64))
Symmetry

(abs im)

(negabs re)

Compiler

Compiled 12 to 11 computations (8.3% saved)

eval0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify118.0ms (1.6%)

Memory
16.5MiB live, 117.2MiB allocated; 10ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 re)
cost-diff0
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
cost-diff1
(-.f64 #s(literal 0 binary64) im)
cost-diff4
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01138
01834
13834
211634
351334
4236330
0862230
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
(exp.f64 (-.f64 #s(literal 0 binary64) im))
(-.f64 #s(literal 0 binary64) im)
#s(literal 0 binary64)
im
(exp.f64 im)
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
(*.f64 (*.f64 (cosh.f64 im) (sin.f64 re)) #s(literal 1 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 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(exp.f64 (-.f64 #s(literal 0 binary64) im))
(exp.f64 (neg.f64 im))
(-.f64 #s(literal 0 binary64) im)
(neg.f64 im)
#s(literal 0 binary64)
im
(exp.f64 im)

localize46.0ms (0.6%)

Memory
-16.1MiB live, 30.1MiB allocated; 5ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(exp.f64 im)
accuracy0.00390625
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
accuracy0.00390625
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
accuracy0.00390625
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
Samples
38.0ms255×0valid
0.0ms3valid
Compiler

Compiled 40 to 13 computations (67.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-sin: 21.0ms (70.2% of total)
ival-exp: 3.0ms (10% of total)
ival-mult: 3.0ms (10% of total)
ival-sub: 1.0ms (3.3% of total)
ival-add: 1.0ms (3.3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
12.9MiB live, 12.9MiB allocated; 0ms collecting garbage
Counts
6 → 31
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
(-.f64 #s(literal 0 binary64) im)
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
(sin.f64 re)
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
(exp.f64 im)
Outputs
(* 1/2 (* re (+ (exp im) (exp (neg im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg 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 im) (exp (neg im)))))
(* 1/2 (sin re))
(sin re)
(+ (sin re) (* 1/2 (* (pow im 2) (sin re))))
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))
(* -1 im)
2
(+ 2 (pow im 2))
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))
1
(+ 1 im)
(+ 1 (* im (+ 1 (* 1/2 im))))
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))
(+ (exp im) (exp (neg im)))
(exp im)
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(+ (exp im) (exp (* -1 im)))
Calls

6 calls:

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

simplify147.0ms (2%)

Memory
7.6MiB live, 52.6MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0120380
1476349
21979334
08019303
Stop Event
iter limit
node limit
Counts
31 → 30
Calls
Call 1
Inputs
(* 1/2 (* re (+ (exp im) (exp (neg im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg 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 im) (exp (neg im)))))
(* 1/2 (sin re))
(sin re)
(+ (sin re) (* 1/2 (* (pow im 2) (sin re))))
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))
(* -1 im)
2
(+ 2 (pow im 2))
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))
1
(+ 1 im)
(+ 1 (* im (+ 1 (* 1/2 im))))
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))
(+ (exp im) (exp (neg im)))
(exp im)
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(+ (exp im) (exp (* -1 im)))
Outputs
(* 1/2 (* re (+ (exp im) (exp (neg 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 im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))
(*.f64 (fma.f64 (exp.f64 im) re (/.f64 re (exp.f64 im))) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (*.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im))))))))))
(*.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) 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 (-.f64 (*.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))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/10080 binary64) (-.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64))) (*.f64 #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)) (-.f64 (*.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 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 re re)) #s(literal 1/6 binary64))) re)
(* 1/2 (* (sin re) (+ (exp im) (exp (neg 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)
(+ (sin re) (* 1/2 (* (pow im 2) (sin re))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re))
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (sin.f64 re)) (*.f64 im im) (sin.f64 re))
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))
(fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (sin.f64 re)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re)))
(* -1 im)
(neg.f64 im)
2
#s(literal 2 binary64)
(+ 2 (pow im 2))
(fma.f64 im im #s(literal 2 binary64))
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))
(fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 im im #s(literal 2 binary64)))
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))
(fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (fma.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 im) (exp (neg im)))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp im)
(exp.f64 im)
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(+ (exp im) (exp (* -1 im)))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite189.0ms (2.6%)

Memory
-17.6MiB live, 36.4MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01130
01827
16423
246021
0577421
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
6 → 306
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
(-.f64 #s(literal 0 binary64) im)
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
(sin.f64 re)
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
(exp.f64 im)
Outputs
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64)))) (fma.f64 (exp.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (cosh.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 (expm1.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) 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 (expm1.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 3 binary64)) (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 6 binary64)))) (fma.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) im)) (-.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 4 binary64))))
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(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64)) (pow.f64 (cosh.f64 im) #s(literal 3 binary64)))) (fma.f64 (sinh.f64 im) (-.f64 (sinh.f64 im) (cosh.f64 im)) (pow.f64 (cosh.f64 im) #s(literal 2 binary64))) (exp.f64 im))
(fma.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64)))) (fma.f64 (exp.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (/.f64 (neg.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))))
(fma.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (/.f64 (neg.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))))
(fma.f64 (pow.f64 (exp.f64 im) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (exp.f64 im) #s(literal 3/2 binary64)) (+.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (/.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (+.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
(fma.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 3/2 binary64))) (/.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 3/2 binary64))) (+.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (/.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (+.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 im)) (exp.f64 (neg.f64 im)))
(fma.f64 (/.f64 #s(literal -1 binary64) (exp.f64 im)) (/.f64 (/.f64 #s(literal -1 binary64) (exp.f64 im)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) (/.f64 (neg.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))))
(fma.f64 (fabs.f64 (exp.f64 (neg.f64 im))) (/.f64 (fabs.f64 (exp.f64 (neg.f64 im))) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) (/.f64 (neg.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))))
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 im) #s(literal 2 binary64)) (-.f64 (exp.f64 im) (sinh.f64 im)))
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 im) #s(literal 2 binary64)) (cosh.f64 im))
(fma.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (/.f64 (exp.f64 im) (+.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (/.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (+.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
(fma.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (/.f64 (exp.f64 (neg.f64 im)) (+.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (/.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (+.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
(fma.f64 #s(literal 1 binary64) (exp.f64 im) (exp.f64 (neg.f64 im)))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)) (exp.f64 im))
(fma.f64 (exp.f64 im) (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (+.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (/.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (+.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
(fma.f64 (exp.f64 im) #s(literal 1 binary64) (exp.f64 (neg.f64 im)))
(fma.f64 (exp.f64 (neg.f64 im)) (/.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (+.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (/.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (+.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
(fma.f64 (exp.f64 (neg.f64 im)) (/.f64 (exp.f64 (neg.f64 im)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) (/.f64 (neg.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))))
(fma.f64 (exp.f64 (neg.f64 im)) #s(literal 1 binary64) (exp.f64 im))
(-.f64 (+.f64 (+.f64 (cosh.f64 im) (exp.f64 im)) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (sinh.f64 im)))
(-.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 im))) (/.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 im))))
(-.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (-.f64 #s(literal 0 binary64) (-.f64 (exp.f64 im) (sinh.f64 im))))
(-.f64 (+.f64 (cosh.f64 im) (exp.f64 im)) (sinh.f64 im))
(-.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))))
(-.f64 (cosh.f64 im) (-.f64 (sinh.f64 im) (exp.f64 im)))
(+.f64 (-.f64 (exp.f64 im) (sinh.f64 im)) (cosh.f64 im))
(+.f64 (+.f64 (cosh.f64 im) (exp.f64 im)) (sinh.f64 (neg.f64 im)))
(+.f64 (+.f64 (cosh.f64 im) (exp.f64 (neg.f64 im))) (sinh.f64 im))
(+.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (+.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (/.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (+.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
(+.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (+.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (/.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (+.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
(+.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) (/.f64 (neg.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))))
(+.f64 (sinh.f64 (neg.f64 im)) (+.f64 (cosh.f64 im) (exp.f64 im)))
(+.f64 (sinh.f64 im) (+.f64 (cosh.f64 im) (exp.f64 (neg.f64 im))))
(+.f64 (cosh.f64 im) (-.f64 (exp.f64 im) (sinh.f64 im)))
(+.f64 (cosh.f64 im) (cosh.f64 im))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64))) (pow.f64 (cosh.f64 im) #s(literal 3 binary64)))) (fma.f64 (sinh.f64 (neg.f64 im)) (-.f64 (sinh.f64 (neg.f64 im)) (cosh.f64 im)) (pow.f64 (cosh.f64 im) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 im)))
(*.f64 #s(literal 1 binary64) (exp.f64 im))
(*.f64 (exp.f64 im) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (sinh.f64 im) #s(literal 2 binary64)) (pow.f64 (cosh.f64 im) #s(literal 2 binary64))) (-.f64 (sinh.f64 im) (cosh.f64 im)))
(/.f64 (-.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (neg.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64)))) (fma.f64 (cosh.f64 im) (cosh.f64 im) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (neg.f64 im))) #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 im) (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64)) (pow.f64 (cosh.f64 im) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sinh.f64 im) (-.f64 (sinh.f64 im) (cosh.f64 im)) (pow.f64 (cosh.f64 im) #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64)) (pow.f64 (cosh.f64 im) #s(literal 3 binary64)))) (fma.f64 (sinh.f64 im) (-.f64 (sinh.f64 im) (cosh.f64 im)) (pow.f64 (cosh.f64 im) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 im)))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64)) (pow.f64 (cosh.f64 im) #s(literal 3 binary64))) (fma.f64 (sinh.f64 im) (sinh.f64 im) (-.f64 (pow.f64 (cosh.f64 im) #s(literal 2 binary64)) (*.f64 (sinh.f64 im) (cosh.f64 im)))))
(/.f64 (+.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64)) (pow.f64 (cosh.f64 im) #s(literal 3 binary64))) (fma.f64 (sinh.f64 im) (-.f64 (sinh.f64 im) (cosh.f64 im)) (pow.f64 (cosh.f64 im) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 im)))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 im) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (sinh.f64 im)))
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 im) #s(literal 2 binary64)) (sinh.f64 im))
(fma.f64 #s(literal 1 binary64) (sinh.f64 im) (*.f64 #s(literal 1 binary64) (cosh.f64 im)))
(fma.f64 #s(literal 1 binary64) (cosh.f64 im) (*.f64 #s(literal 1 binary64) (sinh.f64 im)))
(fma.f64 (sinh.f64 im) #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (cosh.f64 im)))
(fma.f64 (cosh.f64 im) #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (sinh.f64 im)))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (sinh.f64 im)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 #s(literal 1 binary64) (sinh.f64 im)))
(-.f64 (+.f64 (sinh.f64 im) (*.f64 #s(literal 1 binary64) (cosh.f64 im))) #s(literal 0 binary64))
(-.f64 (/.f64 (pow.f64 (cosh.f64 im) #s(literal 2 binary64)) (exp.f64 (neg.f64 im))) (/.f64 (pow.f64 (sinh.f64 im) #s(literal 2 binary64)) (exp.f64 (neg.f64 im))))
(-.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (+.f64 #s(literal 0 binary64) (sinh.f64 (neg.f64 im))))
(-.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (-.f64 #s(literal 0 binary64) (sinh.f64 im)))
(-.f64 (cosh.f64 im) (sinh.f64 (neg.f64 im)))
(exp.f64 im)
(+.f64 (-.f64 (cosh.f64 im) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (sinh.f64 im)))
(+.f64 (/.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (fma.f64 (sinh.f64 im) (-.f64 (sinh.f64 im) (cosh.f64 im)) (pow.f64 (cosh.f64 im) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64)) (fma.f64 (sinh.f64 im) (-.f64 (sinh.f64 im) (cosh.f64 im)) (pow.f64 (cosh.f64 im) #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (*.f64 #s(literal 1 binary64) (sinh.f64 im)))
(+.f64 (*.f64 #s(literal 1 binary64) (sinh.f64 im)) (*.f64 #s(literal 1 binary64) (cosh.f64 im)))
(+.f64 (sinh.f64 im) (cosh.f64 im))
(+.f64 (cosh.f64 im) (sinh.f64 im))

eval32.0ms (0.4%)

Memory
25.1MiB live, 25.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 8 076 to 1 094 computations (86.5% saved)

prune48.0ms (0.6%)

Memory
-32.7MiB live, 13.3MiB allocated; 4ms collecting garbage
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New3313334
Fresh000
Picked101
Done000
Total3323335
Accuracy
100.0%
Counts
335 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re))
53.7%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
77.2%
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re)))
Compiler

Compiled 43 to 38 computations (11.6% saved)

simplify114.0ms (1.6%)

Memory
33.8MiB live, 33.8MiB allocated; 0ms collecting garbage
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 re)
cost-diff0
(cosh.f64 im)
cost-diff0
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re))
cost-diff2
(*.f64 #s(literal 1 binary64) (cosh.f64 im))
cost-diff0
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
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 (- 0 im)) (exp im)) #s(literal 2 binary64)))
cost-diff0
(*.f64 #s(literal 1/2 binary64) im)
cost-diff0
(fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re))
cost-diff0
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re)))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02496
03489
17389
218783
378379
4598379
0817779
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re)))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re))
(fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) im)
#s(literal 1/2 binary64)
im
#s(literal 1 binary64)
(sin.f64 re)
re
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
#s(literal 1/2 binary64)
(sin.f64 re)
re
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re))
(*.f64 #s(literal 1 binary64) (cosh.f64 im))
#s(literal 1 binary64)
(cosh.f64 im)
im
(sin.f64 re)
re
Outputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (sin.f64 re) (fma.f64 (*.f64 im #s(literal 1/2 binary64)) im #s(literal 1 binary64))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re))
(*.f64 (sin.f64 re) (fma.f64 (*.f64 im #s(literal 1/2 binary64)) im #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64))
(fma.f64 (*.f64 im #s(literal 1/2 binary64)) im #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) im)
(*.f64 im #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
im
#s(literal 1 binary64)
(sin.f64 re)
re
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re))
(*.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 (- 0 im)) (exp im)) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re))
(*.f64 (cosh.f64 im) (sin.f64 re))
(*.f64 #s(literal 1 binary64) (cosh.f64 im))
(cosh.f64 im)
#s(literal 1 binary64)
(cosh.f64 im)
im
(sin.f64 re)
re

localize97.0ms (1.3%)

Memory
-9.7MiB live, 37.9MiB allocated; 1ms collecting garbage
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re))
accuracy0.0
(*.f64 #s(literal 1 binary64) (cosh.f64 im))
accuracy0.0
(sin.f64 re)
accuracy0.0
(cosh.f64 im)
accuracy0.0
(sin.f64 re)
accuracy0.00390625
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
accuracy0.00390625
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
accuracy29.51460518200232
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
accuracy0.0
(*.f64 #s(literal 1/2 binary64) im)
accuracy0.0
(sin.f64 re)
accuracy3.3539415348949655
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re))
accuracy17.85670580519556
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re)))
Samples
70.0ms255×0valid
1.0ms3valid
Compiler

Compiled 86 to 22 computations (74.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
ival-cosh: 36.0ms (60.9% of total)
ival-mult: 9.0ms (15.2% of total)
ival-sin: 6.0ms (10.2% of total)
ival-exp: 3.0ms (5.1% of total)
ival-add: 2.0ms (3.4% of total)
ival-sub: 1.0ms (1.7% of total)
exact: 1.0ms (1.7% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series36.0ms (0.5%)

Memory
-31.9MiB live, 14.2MiB allocated; 4ms collecting garbage
Counts
11 → 45
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re)))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re))
(fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) im)
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
(sin.f64 re)
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (cosh.f64 im))
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re))
(cosh.f64 im)
Outputs
(* 1/2 (* re (+ (exp im) (exp (neg im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im))))))))))
(* re (+ 1 (* 1/2 (pow im 2))))
(* re (+ 1 (+ (* -1/6 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))) (* 1/2 (pow im 2)))))
(* re (+ 1 (+ (* 1/2 (pow im 2)) (* (pow re 2) (+ (* -1/6 (+ 1 (* 1/2 (pow im 2)))) (* 1/120 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))))))))
(* re (+ 1 (+ (* 1/2 (pow im 2)) (* (pow re 2) (+ (* -1/6 (+ 1 (* 1/2 (pow im 2)))) (* (pow re 2) (+ (* -1/5040 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))) (* 1/120 (+ 1 (* 1/2 (pow im 2)))))))))))
(* 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 (* re (+ (exp im) (/ 1 (exp im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/240 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (+ (exp im) (/ 1 (exp im))))))))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* (sin re) (+ 1 (* 1/2 (pow im 2))))
(* 1/2 (sin re))
(sin re)
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(+ (sin re) (* 1/2 (* (pow im 2) (sin re))))
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))
1
(+ 1 (* 1/2 (pow im 2)))
(* 1/2 im)
2
(+ 2 (pow im 2))
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))
(* 1/2 (* (pow im 2) (sin re)))
(* (pow im 2) (+ (* 1/2 (sin re)) (/ (sin re) (pow im 2))))
(* 1/2 (pow im 2))
(* (pow im 2) (+ 1/2 (/ 1 (pow im 2))))
(+ (exp im) (exp (neg im)))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(+ (exp im) (exp (* -1 im)))
Calls

6 calls:

TimeVariablePointExpression
25.0ms
im
@-inf
((* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (+ (* (* 1/2 im) im) 1) (* 1/2 im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (sin re) (+ (exp (- 0 im)) (exp im)) (* 1 (cosh im)) (* (* 1 (cosh im)) (sin re)) (cosh im))
3.0ms
re
@0
((* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (+ (* (* 1/2 im) im) 1) (* 1/2 im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (sin re) (+ (exp (- 0 im)) (exp im)) (* 1 (cosh im)) (* (* 1 (cosh im)) (sin re)) (cosh im))
2.0ms
im
@inf
((* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (+ (* (* 1/2 im) im) 1) (* 1/2 im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (sin re) (+ (exp (- 0 im)) (exp im)) (* 1 (cosh im)) (* (* 1 (cosh im)) (sin re)) (cosh im))
2.0ms
re
@inf
((* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (+ (* (* 1/2 im) im) 1) (* 1/2 im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (sin re) (+ (exp (- 0 im)) (exp im)) (* 1 (cosh im)) (* (* 1 (cosh im)) (sin re)) (cosh im))
2.0ms
re
@-inf
((* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (+ (* (* 1/2 im) im) 1) (* 1/2 im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (sin re) (+ (exp (- 0 im)) (exp im)) (* 1 (cosh im)) (* (* 1 (cosh im)) (sin re)) (cosh im))

simplify186.0ms (2.5%)

Memory
38.8MiB live, 91.5MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0176694
1745620
22824592
08318539
Stop Event
iter limit
node limit
Counts
45 → 44
Calls
Call 1
Inputs
(* 1/2 (* re (+ (exp im) (exp (neg im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im))))))))))
(* re (+ 1 (* 1/2 (pow im 2))))
(* re (+ 1 (+ (* -1/6 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))) (* 1/2 (pow im 2)))))
(* re (+ 1 (+ (* 1/2 (pow im 2)) (* (pow re 2) (+ (* -1/6 (+ 1 (* 1/2 (pow im 2)))) (* 1/120 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))))))))
(* re (+ 1 (+ (* 1/2 (pow im 2)) (* (pow re 2) (+ (* -1/6 (+ 1 (* 1/2 (pow im 2)))) (* (pow re 2) (+ (* -1/5040 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))) (* 1/120 (+ 1 (* 1/2 (pow im 2)))))))))))
(* 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 (* re (+ (exp im) (/ 1 (exp im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/240 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (+ (exp im) (/ 1 (exp im))))))))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* (sin re) (+ 1 (* 1/2 (pow im 2))))
(* 1/2 (sin re))
(sin re)
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(+ (sin re) (* 1/2 (* (pow im 2) (sin re))))
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))
1
(+ 1 (* 1/2 (pow im 2)))
(* 1/2 im)
2
(+ 2 (pow im 2))
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))
(* 1/2 (* (pow im 2) (sin re)))
(* (pow im 2) (+ (* 1/2 (sin re)) (/ (sin re) (pow im 2))))
(* 1/2 (pow im 2))
(* (pow im 2) (+ 1/2 (/ 1 (pow im 2))))
(+ (exp im) (exp (neg im)))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(+ (exp im) (exp (* -1 im)))
Outputs
(* 1/2 (* re (+ (exp im) (exp (neg im)))))
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 re #s(literal 1/2 binary64)))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))
(*.f64 (fma.f64 (exp.f64 im) re (/.f64 re (exp.f64 im))) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (*.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 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 re #s(literal 1/2 binary64))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg 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)
(* re (+ 1 (* 1/2 (pow im 2))))
(*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)
(* re (+ 1 (+ (* -1/6 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))) (* 1/2 (pow im 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)
(* re (+ 1 (+ (* 1/2 (pow im 2)) (* (pow re 2) (+ (* -1/6 (+ 1 (* 1/2 (pow im 2)))) (* 1/120 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))))))))
(*.f64 (fma.f64 (*.f64 im #s(literal 1/2 binary64)) im (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #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 (+ 1 (+ (* 1/2 (pow im 2)) (* (pow re 2) (+ (* -1/6 (+ 1 (* 1/2 (pow im 2)))) (* (pow re 2) (+ (* -1/5040 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))) (* 1/120 (+ 1 (* 1/2 (pow im 2)))))))))))
(*.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #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 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)))) re)
(* 1/2 re)
(*.f64 re #s(literal 1/2 binary64))
(* 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 (-.f64 (*.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))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) re) re) #s(literal 1/12 binary64)) (*.f64 re #s(literal 1/2 binary64)))
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)) (-.f64 (*.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)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) re) re) #s(literal 1/6 binary64)) re)
(* 1/2 (* re (+ (exp im) (/ 1 (exp im)))))
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 re #s(literal 1/2 binary64)))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))))
(*.f64 (fma.f64 (exp.f64 im) re (/.f64 re (exp.f64 im))) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/240 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (*.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 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 re #s(literal 1/2 binary64))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (+ (exp im) (/ 1 (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 (* (sin re) (+ (exp im) (exp (neg im)))))
(*.f64 (fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sin.f64 re))
(* (sin re) (+ 1 (* 1/2 (pow im 2))))
(*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sin.f64 re))
(* 1/2 (sin re))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
(sin re)
(sin.f64 re)
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(*.f64 (fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sin.f64 re))
(+ (sin re) (* 1/2 (* (pow im 2) (sin re))))
(*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sin.f64 re))
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))
(*.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))
(fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (sin.f64 re) (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sin.f64 re)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow im 2)))
(fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))
(* 1/2 im)
(*.f64 im #s(literal 1/2 binary64))
2
#s(literal 2 binary64)
(+ 2 (pow im 2))
(fma.f64 im im #s(literal 2 binary64))
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))
(fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 im im #s(literal 2 binary64)))
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))
(fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64)))
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
(* 1/2 (* (pow im 2) (sin re)))
(*.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) im) im)
(* (pow im 2) (+ (* 1/2 (sin re)) (/ (sin re) (pow im 2))))
(*.f64 (fma.f64 (sin.f64 re) #s(literal 1/2 binary64) (/.f64 (/.f64 (sin.f64 re) im) im)) (*.f64 im im))
(* 1/2 (pow im 2))
(*.f64 (*.f64 im im) #s(literal 1/2 binary64))
(* (pow im 2) (+ 1/2 (/ 1 (pow im 2))))
(fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ (exp im) (exp (neg im)))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(*.f64 (fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sin.f64 re))
(+ (exp im) (exp (* -1 im)))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite243.0ms (3.3%)

Memory
5.9MiB live, 195.5MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02482
03475
111369
268265
0824465
Stop Event
iter limit
node limit
iter limit
Counts
11 → 506
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re)))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re))
(fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) im)
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
(sin.f64 re)
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (cosh.f64 im))
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re))
(cosh.f64 im)
Outputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (sin.f64 re) (fma.f64 (*.f64 im #s(literal 1/2 binary64)) im #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64)) (sin.f64 re)) (-.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 im #s(literal 1/2 binary64)) im #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64)) (sin.f64 re)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 im #s(literal 1/2 binary64)) im #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (sin.f64 re)) (-.f64 (pow.f64 (*.f64 (*.f64 im #s(literal 1/2 binary64)) im) #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (sin.f64 re)) (fma.f64 #s(literal 1/64 binary64) (pow.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (pow.f64 (*.f64 (*.f64 im #s(literal 1/2 binary64)) im) #s(literal 4 binary64))))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64)) (/.f64 (sin.f64 re) (-.f64 (*.f64 (*.f64 im #s(literal 1/2 binary64)) im) #s(literal 1 binary64))))
(*.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 re) (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64)))))
(*.f64 (sin.f64 re) (fma.f64 (*.f64 im #s(literal 1/2 binary64)) im #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 im #s(literal 1/2 binary64)) im #s(literal 1 binary64)) (sin.f64 re))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (sin.f64 re)) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64)))
(/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64))) (sin.f64 re)) (neg.f64 (-.f64 (*.f64 (*.f64 im #s(literal 1/2 binary64)) im) #s(literal 1 binary64))))
(/.f64 (*.f64 (neg.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (sin.f64 re)) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64)))))
(/.f64 (*.f64 (sin.f64 re) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64))))) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64)))
(/.f64 (*.f64 (sin.f64 re) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 im #s(literal 1/2 binary64)) im) #s(literal 1 binary64))))
(/.f64 (*.f64 (sin.f64 re) (neg.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (sin.f64 re) im) (*.f64 im #s(literal 1/2 binary64))) (*.f64 (*.f64 (sin.f64 re) im) (*.f64 im #s(literal 1/2 binary64)))) (*.f64 (sin.f64 re) (sin.f64 re))) (-.f64 (*.f64 (*.f64 (sin.f64 re) im) (*.f64 im #s(literal 1/2 binary64))) (sin.f64 re)))
(/.f64 (-.f64 (*.f64 (sin.f64 re) (sin.f64 re)) (*.f64 (*.f64 (*.f64 (sin.f64 re) im) (*.f64 im #s(literal 1/2 binary64))) (*.f64 (*.f64 (sin.f64 re) im) (*.f64 im #s(literal 1/2 binary64))))) (-.f64 (sin.f64 re) (*.f64 (*.f64 (sin.f64 re) im) (*.f64 im #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 re) im) (*.f64 im #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (sin.f64 re) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (sin.f64 re) im) (*.f64 im #s(literal 1/2 binary64))) (*.f64 (*.f64 (sin.f64 re) im) (*.f64 im #s(literal 1/2 binary64))) (-.f64 (*.f64 (sin.f64 re) (sin.f64 re)) (*.f64 (*.f64 (*.f64 (sin.f64 re) im) (*.f64 im #s(literal 1/2 binary64))) (sin.f64 re)))))
(/.f64 (+.f64 (pow.f64 (sin.f64 re) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (sin.f64 re) im) (*.f64 im #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (sin.f64 re) (sin.f64 re) (-.f64 (*.f64 (*.f64 (*.f64 (sin.f64 re) im) (*.f64 im #s(literal 1/2 binary64))) (*.f64 (*.f64 (sin.f64 re) im) (*.f64 im #s(literal 1/2 binary64)))) (*.f64 (sin.f64 re) (*.f64 (*.f64 (sin.f64 re) im) (*.f64 im #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64)) (sin.f64 re))) (neg.f64 (-.f64 (*.f64 (*.f64 im #s(literal 1/2 binary64)) im) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (sin.f64 re))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64)))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64)) (sin.f64 re)) (-.f64 (*.f64 (*.f64 im #s(literal 1/2 binary64)) im) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (sin.f64 re)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64))))
(fma.f64 (*.f64 (sin.f64 re) (*.f64 im im)) #s(literal 1/2 binary64) (sin.f64 re))
(fma.f64 (*.f64 (sin.f64 re) (*.f64 im #s(literal 1/2 binary64))) im (sin.f64 re))
(fma.f64 (*.f64 (sin.f64 re) im) (*.f64 im #s(literal 1/2 binary64)) (sin.f64 re))
(fma.f64 (*.f64 (*.f64 (sin.f64 re) im) (*.f64 im #s(literal 1/2 binary64))) #s(literal 1 binary64) (sin.f64 re))
(fma.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64)))) (sin.f64 re) (*.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64))) #s(literal -1 binary64)) (sin.f64 re)))
(fma.f64 (*.f64 im im) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (sin.f64 re))
(fma.f64 (*.f64 (*.f64 im #s(literal 1/2 binary64)) im) (sin.f64 re) (sin.f64 re))
(fma.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (*.f64 im im) (sin.f64 re))
(fma.f64 (sin.f64 re) (/.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64)))) (*.f64 (sin.f64 re) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64))) #s(literal -1 binary64))))
(fma.f64 (sin.f64 re) (*.f64 (*.f64 im #s(literal 1/2 binary64)) im) (sin.f64 re))
(fma.f64 (sin.f64 re) #s(literal 1 binary64) (*.f64 (*.f64 (sin.f64 re) im) (*.f64 im #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sin.f64 re) im) (*.f64 im #s(literal 1/2 binary64))) (sin.f64 re))
(fma.f64 #s(literal 1 binary64) (sin.f64 re) (*.f64 (*.f64 (sin.f64 re) im) (*.f64 im #s(literal 1/2 binary64))))
(fma.f64 (*.f64 im #s(literal 1/2 binary64)) (*.f64 im (sin.f64 re)) (sin.f64 re))
(fma.f64 im (*.f64 (*.f64 im #s(literal 1/2 binary64)) (sin.f64 re)) (sin.f64 re))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im im) (sin.f64 re)) (sin.f64 re))
(-.f64 (*.f64 (*.f64 (sin.f64 re) im) (*.f64 im #s(literal 1/2 binary64))) (*.f64 #s(literal -1 binary64) (sin.f64 re)))
(-.f64 (*.f64 (*.f64 (sin.f64 re) im) (*.f64 im #s(literal 1/2 binary64))) (*.f64 (neg.f64 (sin.f64 re)) #s(literal 1 binary64)))
(-.f64 (sin.f64 re) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) (sin.f64 re)))
(-.f64 (sin.f64 re) (*.f64 (neg.f64 (sin.f64 re)) (*.f64 (*.f64 im #s(literal 1/2 binary64)) im)))
(+.f64 (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64)))) (sin.f64 re)) (*.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64))) #s(literal -1 binary64)) (sin.f64 re)))
(+.f64 (*.f64 (sin.f64 re) (/.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64))))) (*.f64 (sin.f64 re) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64))) #s(literal -1 binary64))))
(+.f64 (*.f64 (*.f64 (sin.f64 re) im) (*.f64 im #s(literal 1/2 binary64))) (sin.f64 re))
(+.f64 (sin.f64 re) (*.f64 (*.f64 (sin.f64 re) im) (*.f64 im #s(literal 1/2 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64))))) (fma.f64 (*.f64 im #s(literal 1/2 binary64)) im #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64)))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 im #s(literal 1/2 binary64)) im #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 im #s(literal 1/2 binary64)) im #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 im #s(literal 1/2 binary64)) im #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 im #s(literal 1/2 binary64)) im) #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(*.f64 (/.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/64 binary64) (pow.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (pow.f64 (*.f64 (*.f64 im #s(literal 1/2 binary64)) im) #s(literal 4 binary64))))
(*.f64 (fma.f64 (*.f64 im #s(literal 1/2 binary64)) im #s(literal 1 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 im #s(literal 1/2 binary64)) im) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 im #s(literal 1/2 binary64)) im) #s(literal 1 binary64))))
(*.f64 (fma.f64 (*.f64 im #s(literal 1/2 binary64)) im #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 im #s(literal 1/2 binary64)) im) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 im #s(literal 1/2 binary64)) im) #s(literal 1 binary64)))) (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 im #s(literal 1/2 binary64)) im) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (*.f64 (*.f64 im #s(literal 1/2 binary64)) im) #s(literal 1 binary64)) #s(literal -1 binary64)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 im #s(literal 1/2 binary64)) im) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 (*.f64 im #s(literal 1/2 binary64)) im) #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64)))) (/.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64))))) (*.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64))) #s(literal -1 binary64)))) (-.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64)))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64))) #s(literal -1 binary64))))
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(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (+.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (+.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 im) #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (cosh.f64 im)) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 im) (sinh.f64 im))))
(+.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (*.f64 (+.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(literal 2 binary64))) (/.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (*.f64 (+.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(literal 2 binary64))))
(+.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (*.f64 (+.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(literal 2 binary64))) (/.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (*.f64 (+.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(literal 2 binary64))))
(+.f64 (/.f64 (+.f64 (cosh.f64 im) (exp.f64 im)) #s(literal 2 binary64)) (/.f64 (sinh.f64 (neg.f64 im)) #s(literal 2 binary64)))
(+.f64 (/.f64 (+.f64 (cosh.f64 im) (exp.f64 (neg.f64 im))) #s(literal 2 binary64)) (/.f64 (sinh.f64 im) #s(literal 2 binary64)))
(+.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (+.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (+.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) #s(literal 2 binary64)))
(+.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) #s(literal 2 binary64))))
(+.f64 (/.f64 (cosh.f64 im) #s(literal 2 binary64)) (/.f64 (-.f64 (exp.f64 im) (sinh.f64 im)) #s(literal 2 binary64)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 (exp.f64 im) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+.f64 (/.f64 (exp.f64 im) #s(literal 2 binary64)) (-.f64 (/.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)) #s(literal 0 binary64)))
(+.f64 (/.f64 (exp.f64 im) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)) (-.f64 (/.f64 (exp.f64 im) #s(literal 2 binary64)) #s(literal 0 binary64)))
(+.f64 (/.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)) (/.f64 (exp.f64 im) #s(literal 2 binary64)))
(+.f64 (cosh.f64 im) #s(literal 0 binary64))

eval76.0ms (1%)

Memory
2.0MiB live, 95.2MiB allocated; 7ms collecting garbage
Compiler

Compiled 11 431 to 1 346 computations (88.2% saved)

prune40.0ms (0.6%)

Memory
-7.2MiB live, 39.4MiB allocated; 4ms collecting garbage
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New44213455
Fresh000
Picked213
Done000
Total44414458
Accuracy
100.0%
Counts
458 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
38.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) re) re) #s(literal 1/6 binary64)) re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
100.0%
(*.f64 (sin.f64 re) (cosh.f64 im))
92.6%
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
89.6%
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
40.5%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #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 (- 0 im)) (exp im)) #s(literal 2 binary64)))
35.5%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
30.5%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
77.2%
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re)))
50.1%
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) re) re) #s(literal 1/6 binary64)) re))))
53.7%
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (+ (* (* 1/2 im) im) 1) #s(literal 1 binary64)) (sin.f64 re)))
51.6%
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
43.6%
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (*.f64 im #s(literal 1/2 binary64)) im (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #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)))
49.2%
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
22.0%
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) im) im)))
Compiler

Compiled 756 to 560 computations (25.9% saved)

simplify170.0ms (2.3%)

Memory
2.8MiB live, 242.3MiB allocated; 21ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64))
cost-diff0
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
cost-diff0
#s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
cost-diff0
(sin.f64 re)
cost-diff0
#s(approx (+ (* (* 1/2 im) im) 1) #s(literal 1 binary64))
cost-diff0
(*.f64 #s(approx (+ (* (* 1/2 im) im) 1) #s(literal 1 binary64)) (sin.f64 re))
cost-diff0
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (+ (* (* 1/2 im) im) 1) #s(literal 1 binary64)) (sin.f64 re)))
cost-diff0
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)))
cost-diff0
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)
cost-diff0
#s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re))
cost-diff0
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
cost-diff0
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
cost-diff0
(*.f64 re #s(literal 1/2 binary64))
cost-diff0
#s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))
cost-diff0
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
cost-diff0
(cosh.f64 im)
cost-diff0
(sin.f64 re)
cost-diff0
(*.f64 (sin.f64 re) (cosh.f64 im))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
045307
067294
1143294
2450282
32291278
08480278
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (sin.f64 re) (cosh.f64 im))
(sin.f64 re)
re
(cosh.f64 im)
im
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))
(*.f64 re #s(literal 1/2 binary64))
re
#s(literal 1/2 binary64)
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
#s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re))
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(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)
(fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 im im)
im
#s(literal 1/2 binary64)
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (+ (* (* 1/2 im) im) 1) #s(literal 1 binary64)) (sin.f64 re)))
(*.f64 #s(approx (+ (* (* 1/2 im) im) 1) #s(literal 1 binary64)) (sin.f64 re))
#s(approx (+ (* (* 1/2 im) im) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
(sin.f64 re)
re
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
#s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))
#s(literal 1/720 binary64)
(*.f64 im im)
im
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(sin.f64 re)
re
Outputs
(*.f64 (sin.f64 re) (cosh.f64 im))
(*.f64 (cosh.f64 im) (sin.f64 re))
(sin.f64 re)
re
(cosh.f64 im)
im
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 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)))
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 re #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) re)
re
#s(literal 1/2 binary64)
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64)) re) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
#s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re))
#s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64)) re) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64)) re) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(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)
(fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 im im)
im
#s(literal 1/2 binary64)
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (+ (* (* 1/2 im) im) 1) #s(literal 1 binary64)) (sin.f64 re)))
(*.f64 #s(approx (+ (* (* 1/2 im) im) 1) #s(literal 1 binary64)) (sin.f64 re))
#s(approx (+ (* (* 1/2 im) im) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
(sin.f64 re)
re
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
#s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))
#s(literal 1/720 binary64)
(*.f64 im im)
im
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(sin.f64 re)
re

localize146.0ms (2%)

Memory
4.9MiB live, 231.5MiB allocated; 69ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.03515625
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
accuracy0.04296875
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64))
accuracy0.08203125
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))
accuracy4.7371165577135095
#s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
accuracy0.0
(sin.f64 re)
accuracy3.3539415348949655
(*.f64 #s(approx (+ (* (* 1/2 im) im) 1) #s(literal 1 binary64)) (sin.f64 re))
accuracy17.85670580519556
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (+ (* (* 1/2 im) im) 1) #s(literal 1 binary64)) (sin.f64 re)))
accuracy29.172646402024558
#s(approx (+ (* (* 1/2 im) im) 1) #s(literal 1 binary64))
accuracy0.1015625
(fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64))
accuracy3.3578477848949655
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)
accuracy17.85670580519556
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
accuracy27.695778024751093
#s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re))
accuracy0.0
(*.f64 re #s(literal 1/2 binary64))
accuracy0.00390625
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
accuracy29.51460518200232
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
accuracy30.31264351128927
#s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))
accuracy0.0
(*.f64 (sin.f64 re) (cosh.f64 im))
accuracy0.0
(sin.f64 re)
accuracy0.0
(cosh.f64 im)
Samples
100.0ms255×0valid
1.0ms3valid
Compiler

Compiled 215 to 41 computations (80.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-mult: 26.0ms (42.3% of total)
ival-add: 12.0ms (19.5% of total)
const: 9.0ms (14.6% of total)
ival-sin: 6.0ms (9.8% of total)
ival-exp: 3.0ms (4.9% of total)
ival-cosh: 3.0ms (4.9% of total)
ival-sub: 1.0ms (1.6% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series20.0ms (0.3%)

Memory
-10.8MiB live, 35.7MiB allocated; 3ms collecting garbage
Counts
20 → 73
Calls
Call 1
Inputs
(*.f64 (sin.f64 re) (cosh.f64 im))
(sin.f64 re)
(cosh.f64 im)
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))
(*.f64 re #s(literal 1/2 binary64))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
#s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re))
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (+ (* (* 1/2 im) im) 1) #s(literal 1 binary64)) (sin.f64 re)))
(*.f64 #s(approx (+ (* (* 1/2 im) im) 1) #s(literal 1 binary64)) (sin.f64 re))
#s(approx (+ (* (* 1/2 im) im) 1) #s(literal 1 binary64))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
#s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))
Outputs
(* 1/2 (* re (+ (exp im) (/ 1 (exp im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/240 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (+ (exp im) (/ 1 (exp im))))))))))
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 (* re (+ (exp im) (exp (neg im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg 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 (+ 1 (* 1/2 (pow im 2))))
(* re (+ 1 (+ (* -1/6 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))) (* 1/2 (pow im 2)))))
(* re (+ 1 (+ (* 1/2 (pow im 2)) (* (pow re 2) (+ (* -1/6 (+ 1 (* 1/2 (pow im 2)))) (* 1/120 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))))))))
(* re (+ 1 (+ (* 1/2 (pow im 2)) (* (pow re 2) (+ (* -1/6 (+ 1 (* 1/2 (pow im 2)))) (* (pow re 2) (+ (* -1/5040 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))) (* 1/120 (+ 1 (* 1/2 (pow im 2)))))))))))
(+ 1 (* 1/2 (pow im 2)))
(+ 1 (+ (* -1/6 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))) (* 1/2 (pow im 2))))
1
(+ 1 (* -1/6 (pow re 2)))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(sin re)
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (sin re))
(* (sin re) (+ 1 (* 1/2 (pow im 2))))
(* -1/6 (* (pow re 3) (+ 1 (* 1/2 (pow im 2)))))
(* (pow re 3) (+ (* -1/6 (+ 1 (* 1/2 (pow im 2)))) (+ (* 1/2 (/ (pow im 2) (pow re 2))) (/ 1 (pow re 2)))))
(* -1/6 (* (pow re 2) (+ 1 (* 1/2 (pow im 2)))))
(* (pow re 2) (+ (* -1/6 (+ 1 (* 1/2 (pow im 2)))) (+ (* 1/2 (/ (pow im 2) (pow re 2))) (/ 1 (pow re 2)))))
(* -1/6 (pow re 2))
(* (pow re 2) (- (/ 1 (pow re 2)) 1/6))
(* -1 (* (pow re 3) (+ (* -1 (/ (+ 1 (* 1/2 (pow im 2))) (pow re 2))) (* 1/6 (+ 1 (* 1/2 (pow im 2)))))))
(+ (sin re) (* 1/2 (* (pow im 2) (sin re))))
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))
2
(+ 2 (pow im 2))
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))
(+ (* 1/2 (* (pow im 2) (* re (+ 1 (* -1/6 (pow re 2)))))) (* re (+ 1 (* -1/6 (pow re 2)))))
(+ 1 (+ (* -1/6 (pow re 2)) (* 1/2 (* (pow im 2) (+ 1 (* -1/6 (pow re 2)))))))
1/2
(+ 1/2 (* 1/24 (pow im 2)))
(+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))
1/24
(+ 1/24 (* 1/720 (pow im 2)))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(+ (exp im) (exp (neg im)))
(* 1/2 (* (pow im 2) (sin re)))
(* (pow im 2) (+ (* 1/2 (sin re)) (/ (sin re) (pow im 2))))
(* 1/2 (* (pow im 2) (* re (+ 1 (* -1/6 (pow re 2))))))
(* (pow im 2) (+ (* 1/2 (* re (+ 1 (* -1/6 (pow re 2))))) (/ (* re (+ 1 (* -1/6 (pow re 2)))) (pow im 2))))
(* 1/2 (* (pow im 2) (+ 1 (* -1/6 (pow re 2)))))
(* (pow im 2) (+ (* -1/6 (/ (pow re 2) (pow im 2))) (+ (* 1/2 (+ 1 (* -1/6 (pow re 2)))) (/ 1 (pow im 2)))))
(* 1/2 (pow im 2))
(* (pow im 2) (+ 1/2 (/ 1 (pow im 2))))
(* 1/720 (pow im 6))
(* (pow im 6) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))
(* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (+ (* 1/24 (/ 1 (pow im 2))) (/ 1 (pow im 6))))))
(* 1/720 (pow im 4))
(* (pow im 4) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(* (pow im 4) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))
(* 1/720 (pow im 2))
(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(+ (exp im) (exp (* -1 im)))
Calls

6 calls:

TimeVariablePointExpression
7.0ms
im
@0
((* (sin re) (cosh im)) (sin re) (cosh im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* re 1/2) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (* (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) re) (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (+ (* (* 1/2 im) im) 1) (* (* 1 (cosh im)) (sin re)) (* 1 (cosh im)) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (+ (* -1/6 (* re re)) 1) (+ (* 1/720 (* im im)) 1/24))
3.0ms
im
@inf
((* (sin re) (cosh im)) (sin re) (cosh im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* re 1/2) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (* (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) re) (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (+ (* (* 1/2 im) im) 1) (* (* 1 (cosh im)) (sin re)) (* 1 (cosh im)) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (+ (* -1/6 (* re re)) 1) (+ (* 1/720 (* im im)) 1/24))
3.0ms
re
@inf
((* (sin re) (cosh im)) (sin re) (cosh im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* re 1/2) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (* (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) re) (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (+ (* (* 1/2 im) im) 1) (* (* 1 (cosh im)) (sin re)) (* 1 (cosh im)) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (+ (* -1/6 (* re re)) 1) (+ (* 1/720 (* im im)) 1/24))
2.0ms
im
@-inf
((* (sin re) (cosh im)) (sin re) (cosh im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* re 1/2) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (* (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) re) (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (+ (* (* 1/2 im) im) 1) (* (* 1 (cosh im)) (sin re)) (* 1 (cosh im)) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (+ (* -1/6 (* re re)) 1) (+ (* 1/720 (* im im)) 1/24))
2.0ms
re
@-inf
((* (sin re) (cosh im)) (sin re) (cosh im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* re 1/2) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (* (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) re) (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (+ (* (* 1/2 im) im) 1) (* (* 1 (cosh im)) (sin re)) (* 1 (cosh im)) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (+ (* -1/6 (* re re)) 1) (+ (* 1/720 (* im im)) 1/24))

simplify175.0ms (2.4%)

Memory
7.1MiB live, 239.4MiB allocated; 31ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02321096
1967986
23906932
08925854
Stop Event
iter limit
node limit
Counts
73 → 72
Calls
Call 1
Inputs
(* 1/2 (* re (+ (exp im) (/ 1 (exp im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/240 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (+ (exp im) (/ 1 (exp im))))))))))
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 (* re (+ (exp im) (exp (neg im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg 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 (+ 1 (* 1/2 (pow im 2))))
(* re (+ 1 (+ (* -1/6 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))) (* 1/2 (pow im 2)))))
(* re (+ 1 (+ (* 1/2 (pow im 2)) (* (pow re 2) (+ (* -1/6 (+ 1 (* 1/2 (pow im 2)))) (* 1/120 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))))))))
(* re (+ 1 (+ (* 1/2 (pow im 2)) (* (pow re 2) (+ (* -1/6 (+ 1 (* 1/2 (pow im 2)))) (* (pow re 2) (+ (* -1/5040 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))) (* 1/120 (+ 1 (* 1/2 (pow im 2)))))))))))
(+ 1 (* 1/2 (pow im 2)))
(+ 1 (+ (* -1/6 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))) (* 1/2 (pow im 2))))
1
(+ 1 (* -1/6 (pow re 2)))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(sin re)
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (sin re))
(* (sin re) (+ 1 (* 1/2 (pow im 2))))
(* -1/6 (* (pow re 3) (+ 1 (* 1/2 (pow im 2)))))
(* (pow re 3) (+ (* -1/6 (+ 1 (* 1/2 (pow im 2)))) (+ (* 1/2 (/ (pow im 2) (pow re 2))) (/ 1 (pow re 2)))))
(* -1/6 (* (pow re 2) (+ 1 (* 1/2 (pow im 2)))))
(* (pow re 2) (+ (* -1/6 (+ 1 (* 1/2 (pow im 2)))) (+ (* 1/2 (/ (pow im 2) (pow re 2))) (/ 1 (pow re 2)))))
(* -1/6 (pow re 2))
(* (pow re 2) (- (/ 1 (pow re 2)) 1/6))
(* -1 (* (pow re 3) (+ (* -1 (/ (+ 1 (* 1/2 (pow im 2))) (pow re 2))) (* 1/6 (+ 1 (* 1/2 (pow im 2)))))))
(+ (sin re) (* 1/2 (* (pow im 2) (sin re))))
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))
2
(+ 2 (pow im 2))
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))
(+ (* 1/2 (* (pow im 2) (* re (+ 1 (* -1/6 (pow re 2)))))) (* re (+ 1 (* -1/6 (pow re 2)))))
(+ 1 (+ (* -1/6 (pow re 2)) (* 1/2 (* (pow im 2) (+ 1 (* -1/6 (pow re 2)))))))
1/2
(+ 1/2 (* 1/24 (pow im 2)))
(+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))
1/24
(+ 1/24 (* 1/720 (pow im 2)))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(+ (exp im) (exp (neg im)))
(* 1/2 (* (pow im 2) (sin re)))
(* (pow im 2) (+ (* 1/2 (sin re)) (/ (sin re) (pow im 2))))
(* 1/2 (* (pow im 2) (* re (+ 1 (* -1/6 (pow re 2))))))
(* (pow im 2) (+ (* 1/2 (* re (+ 1 (* -1/6 (pow re 2))))) (/ (* re (+ 1 (* -1/6 (pow re 2)))) (pow im 2))))
(* 1/2 (* (pow im 2) (+ 1 (* -1/6 (pow re 2)))))
(* (pow im 2) (+ (* -1/6 (/ (pow re 2) (pow im 2))) (+ (* 1/2 (+ 1 (* -1/6 (pow re 2)))) (/ 1 (pow im 2)))))
(* 1/2 (pow im 2))
(* (pow im 2) (+ 1/2 (/ 1 (pow im 2))))
(* 1/720 (pow im 6))
(* (pow im 6) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))
(* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (+ (* 1/24 (/ 1 (pow im 2))) (/ 1 (pow im 6))))))
(* 1/720 (pow im 4))
(* (pow im 4) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(* (pow im 4) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))
(* 1/720 (pow im 2))
(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(+ (exp im) (exp (* -1 im)))
Outputs
(* 1/2 (* re (+ (exp im) (/ 1 (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 im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))))
(*.f64 (fma.f64 (exp.f64 im) re (/.f64 re (exp.f64 im))) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/240 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (*.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 (*.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (+ (exp im) (/ 1 (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)
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)) (-.f64 (*.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)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) re) re) #s(literal 1/6 binary64)) re)
(* 1/2 (* re (+ (exp im) (exp (neg 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 im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))
(*.f64 (fma.f64 (exp.f64 im) re (/.f64 re (exp.f64 im))) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (*.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 (*.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg 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))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/12 binary64) (*.f64 #s(literal 1/2 binary64) re))
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
(*.f64 (fma.f64 (-.f64 (*.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))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) re) re) #s(literal 1/12 binary64)) (*.f64 #s(literal 1/2 binary64) re))
(* re (+ 1 (* 1/2 (pow im 2))))
(*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)
(* re (+ 1 (+ (* -1/6 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))) (* 1/2 (pow im 2)))))
(*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re))
(* re (+ 1 (+ (* 1/2 (pow im 2)) (* (pow re 2) (+ (* -1/6 (+ 1 (* 1/2 (pow im 2)))) (* 1/120 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))))))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #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 (+ 1 (+ (* 1/2 (pow im 2)) (* (pow re 2) (+ (* -1/6 (+ 1 (* 1/2 (pow im 2)))) (* (pow re 2) (+ (* -1/5040 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))) (* 1/120 (+ 1 (* 1/2 (pow im 2)))))))))))
(*.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64))) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)))) re)
(+ 1 (* 1/2 (pow im 2)))
(fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (+ (* -1/6 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))) (* 1/2 (pow im 2))))
(*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow re 2)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(*.f64 (fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sin.f64 re))
(sin re)
(sin.f64 re)
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(*.f64 (fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.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) (+ 1 (* 1/2 (pow im 2))))
(*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sin.f64 re))
(* -1/6 (* (pow re 3) (+ 1 (* 1/2 (pow im 2)))))
(*.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) #s(literal -1/6 binary64)))
(* (pow re 3) (+ (* -1/6 (+ 1 (* 1/2 (pow im 2)))) (+ (* 1/2 (/ (pow im 2) (pow re 2))) (/ 1 (pow re 2)))))
(*.f64 (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 im im) (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 re re))))) (*.f64 re re) #s(literal 1 binary64)) re)
(* -1/6 (* (pow re 2) (+ 1 (* 1/2 (pow im 2)))))
(*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) #s(literal -1/6 binary64)) re) re)
(* (pow re 2) (+ (* -1/6 (+ 1 (* 1/2 (pow im 2)))) (+ (* 1/2 (/ (pow im 2) (pow re 2))) (/ 1 (pow re 2)))))
(fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 im im) (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 re re))))) (*.f64 re re) #s(literal 1 binary64))
(* -1/6 (pow re 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 re re))
(* (pow re 2) (- (/ 1 (pow re 2)) 1/6))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 re re)) #s(literal 1/6 binary64)) re) re)
(* -1 (* (pow re 3) (+ (* -1 (/ (+ 1 (* 1/2 (pow im 2))) (pow re 2))) (* 1/6 (+ 1 (* 1/2 (pow im 2)))))))
(*.f64 (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 im im) (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 re re))))) (*.f64 re re) #s(literal 1 binary64)) re)
(+ (sin re) (* 1/2 (* (pow im 2) (sin re))))
(*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sin.f64 re))
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))
(*.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))
(fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (sin.f64 re) (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sin.f64 re)))
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
2
#s(literal 2 binary64)
(+ 2 (pow im 2))
(fma.f64 im im #s(literal 2 binary64))
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))
(fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 im im #s(literal 2 binary64)))
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))
(fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64)))
(+ (* 1/2 (* (pow im 2) (* re (+ 1 (* -1/6 (pow re 2)))))) (* re (+ 1 (* -1/6 (pow re 2)))))
(*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re))
(+ 1 (+ (* -1/6 (pow re 2)) (* 1/2 (* (pow im 2) (+ 1 (* -1/6 (pow re 2)))))))
(*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/24 (pow im 2)))
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))
(+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64))
1/24
#s(literal 1/24 binary64)
(+ 1/24 (* 1/720 (pow im 2)))
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+ (exp im) (exp (neg im)))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* 1/2 (* (pow im 2) (sin re)))
(*.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) im) im)
(* (pow im 2) (+ (* 1/2 (sin re)) (/ (sin re) (pow im 2))))
(*.f64 (fma.f64 (sin.f64 re) #s(literal 1/2 binary64) (/.f64 (/.f64 (sin.f64 re) im) im)) (*.f64 im im))
(* 1/2 (* (pow im 2) (* re (+ 1 (* -1/6 (pow re 2))))))
(*.f64 (*.f64 (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/12 binary64) (*.f64 #s(literal 1/2 binary64) re)) im) im)
(* (pow im 2) (+ (* 1/2 (* re (+ 1 (* -1/6 (pow re 2))))) (/ (* re (+ 1 (* -1/6 (pow re 2)))) (pow im 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) re (/.f64 re (*.f64 im im)))) (*.f64 im im))
(* 1/2 (* (pow im 2) (+ 1 (* -1/6 (pow re 2)))))
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 im im))
(* (pow im 2) (+ (* -1/6 (/ (pow re 2) (pow im 2))) (+ (* 1/2 (+ 1 (* -1/6 (pow re 2)))) (/ 1 (pow im 2)))))
(fma.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 re re)) #s(literal 1 binary64)) #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(* 1/2 (pow im 2))
(*.f64 (*.f64 im im) #s(literal 1/2 binary64))
(* (pow im 2) (+ 1/2 (/ 1 (pow im 2))))
(fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))
(* 1/720 (pow im 6))
(*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/720 binary64))
(* (pow im 6) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/720 binary64)) (pow.f64 im #s(literal 6 binary64)))
(* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal -1/24 binary64) (*.f64 im im))) (pow.f64 im #s(literal 6 binary64)))
(* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (+ (* 1/24 (/ 1 (pow im 2))) (/ 1 (pow im 6))))))
(fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal -1/24 binary64) (*.f64 im im))) (pow.f64 im #s(literal 6 binary64)) #s(literal 1 binary64))
(* 1/720 (pow im 4))
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/720 binary64))
(* (pow im 4) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/720 binary64)))
(* (pow im 4) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal -1/24 binary64) (*.f64 im im))) (pow.f64 im #s(literal 4 binary64)))
(* 1/720 (pow im 2))
(*.f64 #s(literal 1/720 binary64) (*.f64 im im))
(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(*.f64 (fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sin.f64 re))
(+ (exp im) (exp (* -1 im)))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite199.0ms (2.7%)

Memory
-11.3MiB live, 325.1MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
045270
067257
1246249
21645249
08374249
Stop Event
iter limit
node limit
iter limit
Counts
20 → 459
Calls
Call 1
Inputs
(*.f64 (sin.f64 re) (cosh.f64 im))
(sin.f64 re)
(cosh.f64 im)
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))
(*.f64 re #s(literal 1/2 binary64))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
#s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re))
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (+ (* (* 1/2 im) im) 1) #s(literal 1 binary64)) (sin.f64 re)))
(*.f64 #s(approx (+ (* (* 1/2 im) im) 1) #s(literal 1 binary64)) (sin.f64 re))
#s(approx (+ (* (* 1/2 im) im) 1) #s(literal 1 binary64))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
#s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))
Outputs
(*.f64 (*.f64 (sin.f64 re) #s(literal 1 binary64)) (cosh.f64 im))
(*.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 im) (sin.f64 re)))
(*.f64 (*.f64 (cosh.f64 im) (sin.f64 re)) #s(literal 1 binary64))
(*.f64 (cosh.f64 im) (*.f64 #s(literal 1 binary64) (sin.f64 re)))
(*.f64 (cosh.f64 im) (sin.f64 re))
(*.f64 (sin.f64 re) (cosh.f64 im))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (sin.f64 re))) #s(literal -2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (sin.f64 re)) #s(literal 2 binary64))
(+.f64 (/.f64 (*.f64 (exp.f64 im) (sin.f64 re)) #s(literal 2 binary64)) (/.f64 (*.f64 (exp.f64 (neg.f64 im)) (sin.f64 re)) #s(literal 2 binary64)))
(+.f64 (/.f64 (*.f64 (exp.f64 (neg.f64 im)) (sin.f64 re)) #s(literal 2 binary64)) (/.f64 (*.f64 (exp.f64 im) (sin.f64 re)) #s(literal 2 binary64)))
(+.f64 (/.f64 (*.f64 (sin.f64 re) (exp.f64 im)) #s(literal 2 binary64)) (/.f64 (*.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) #s(literal 2 binary64)))
(+.f64 (/.f64 (*.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) #s(literal 2 binary64)) (/.f64 (*.f64 (sin.f64 re) (exp.f64 im)) #s(literal 2 binary64)))
(sin.f64 re)
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) (sinh.f64 (neg.f64 im)))
(*.f64 (/.f64 (+.f64 (expm1.f64 (+.f64 im im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (+.f64 (expm1.f64 (+.f64 im im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (cosh.f64 im))
(*.f64 #s(literal 1 binary64) (cosh.f64 im))
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(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/373248000 binary64) (pow.f64 im #s(literal 6 binary64))) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 im im) #s(literal 1/17280 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/13824 binary64) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 im im) #s(literal 1/17280 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/373248000 binary64) (pow.f64 im #s(literal 6 binary64))) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 im im) #s(literal 1/17280 binary64))))) (/.f64 (*.f64 #s(literal 1/373248000 binary64) (pow.f64 im #s(literal 6 binary64))) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 im im) #s(literal 1/17280 binary64))))) (-.f64 (*.f64 (/.f64 #s(literal 1/13824 binary64) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 im im) #s(literal 1/17280 binary64))))) (/.f64 #s(literal 1/13824 binary64) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 im im) #s(literal 1/17280 binary64)))))) (*.f64 (/.f64 (*.f64 #s(literal 1/373248000 binary64) (pow.f64 im #s(literal 6 binary64))) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 im im) #s(literal 1/17280 binary64))))) (/.f64 #s(literal 1/13824 binary64) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 im im) #s(literal 1/17280 binary64)))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 im im)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/576 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 im im)) #s(literal 1/24 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal 1/13824 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 im im) #s(literal 1/17280 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 im im)) #s(literal 1/24 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 im im)) #s(literal 1/24 binary64)) #s(literal 1/576 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 im im)) #s(literal 1/24 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 im im)) #s(literal 1/24 binary64))))
(/.f64 (fma.f64 (*.f64 #s(literal 1/373248000 binary64) (pow.f64 im #s(literal 6 binary64))) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 im im) #s(literal 1/17280 binary64)))) (*.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 im im) #s(literal 1/17280 binary64)))) #s(literal 1/13824 binary64))) (*.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 im im) #s(literal 1/17280 binary64)))) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 im im) #s(literal 1/17280 binary64))))))
(/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)))) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 im im))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/576 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 im im)) #s(literal 1/24 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal 1/13824 binary64))) (neg.f64 (+.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 (*.f64 im im) #s(literal 1/17280 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal 1/13824 binary64))) (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 im im) #s(literal 1/17280 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/576 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 im im)) #s(literal 1/24 binary64)))
(/.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (+.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 (*.f64 im im) #s(literal 1/17280 binary64)))))
(/.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 im im) #s(literal 1/17280 binary64)))))
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/720 binary64) (neg.f64 im))) im #s(literal 1/24 binary64))
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/720 binary64) im)) im #s(literal 1/24 binary64))
(fma.f64 (*.f64 #s(literal 1/720 binary64) (neg.f64 im)) (neg.f64 im) #s(literal 1/24 binary64))
(fma.f64 (*.f64 #s(literal 1/720 binary64) im) im #s(literal 1/24 binary64))
(fma.f64 (neg.f64 im) (*.f64 (neg.f64 im) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))
(fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(fma.f64 im (fabs.f64 (*.f64 (neg.f64 im) #s(literal 1/720 binary64))) #s(literal 1/24 binary64))
(fma.f64 im (fabs.f64 (*.f64 #s(literal 1/720 binary64) im)) #s(literal 1/24 binary64))
(fma.f64 im (*.f64 #s(literal 1/720 binary64) im) #s(literal 1/24 binary64))
(-.f64 (/.f64 #s(literal 1/576 binary64) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 im im)))) (/.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64))) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 im im)))))
(-.f64 (/.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 im im)) #s(literal 1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 im im)) #s(literal 1/24 binary64))))
(-.f64 #s(literal 1/24 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 1/720 binary64) im)) im))
(-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 im im)))
(-.f64 #s(literal 1/24 binary64) (*.f64 (neg.f64 (*.f64 im im)) #s(literal 1/720 binary64)))
(+.f64 (/.f64 #s(literal 1/13824 binary64) (+.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 (*.f64 im im) #s(literal 1/17280 binary64))))) (/.f64 (*.f64 #s(literal 1/373248000 binary64) (pow.f64 im #s(literal 6 binary64))) (+.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 (*.f64 im im) #s(literal 1/17280 binary64))))))
(+.f64 (/.f64 (*.f64 #s(literal 1/373248000 binary64) (pow.f64 im #s(literal 6 binary64))) (+.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 (*.f64 im im) #s(literal 1/17280 binary64))))) (/.f64 #s(literal 1/13824 binary64) (+.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 (*.f64 im im) #s(literal 1/17280 binary64))))))
(+.f64 (/.f64 #s(literal 1/13824 binary64) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 im im) #s(literal 1/17280 binary64))))) (/.f64 (*.f64 #s(literal 1/373248000 binary64) (pow.f64 im #s(literal 6 binary64))) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 im im) #s(literal 1/17280 binary64))))))
(+.f64 (/.f64 (*.f64 #s(literal 1/373248000 binary64) (pow.f64 im #s(literal 6 binary64))) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 im im) #s(literal 1/17280 binary64))))) (/.f64 #s(literal 1/13824 binary64) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 im im) #s(literal 1/17280 binary64))))))
(+.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 im im)) #s(literal 1/24 binary64))
(+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 im im)))

eval92.0ms (1.3%)

Memory
2.8MiB live, 147.9MiB allocated; 44ms collecting garbage
Compiler

Compiled 29 265 to 2 861 computations (90.2% saved)

prune28.0ms (0.4%)

Memory
25.4MiB live, 72.8MiB allocated; 1ms collecting garbage
Pruning

26 alts after pruning (22 fresh and 4 done)

PrunedKeptTotal
New51618534
Fresh448
Picked235
Done011
Total52226548
Accuracy
100.0%
Counts
548 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (sin.f64 re) (cosh.f64 im))
89.6%
(*.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
58.4%
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) re) re) #s(literal 1/6 binary64)) re)))
62.9%
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 re re)) #s(literal 1/6 binary64)) re)))
58.2%
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re)))
69.1%
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 im im)) (*.f64 #s(literal -1/720 binary64) (*.f64 im im)))) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 im im)))) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
92.5%
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
92.6%
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))) (sin.f64 re))
40.5%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #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 (- 0 im)) (exp im)) #s(literal 2 binary64)))
35.5%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
61.3%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64)))))
60.2%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 im im #s(literal 2 binary64)))))
51.6%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
30.5%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
77.2%
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re)))
27.2%
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (+ (* (* 1/2 im) im) 1) (*.f64 (*.f64 im im) #s(literal 1/2 binary64))) (sin.f64 re)))
53.7%
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (+ (* (* 1/2 im) im) 1) #s(literal 1 binary64)) (sin.f64 re)))
38.0%
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (+ (* (* 1/2 im) im) 1) #s(literal 1 binary64)) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) re) re) #s(literal 1/6 binary64)) re))))
51.6%
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
43.6%
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (*.f64 im #s(literal 1/2 binary64)) im (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #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)))
46.2%
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 re re)) #s(literal -1/6 binary64)) (*.f64 (neg.f64 (*.f64 re re)) #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 re re)) #s(literal -1/6 binary64)))) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
42.1%
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (*.f64 #s(approx (+ (* -1/6 (* re re)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 re re)) #s(literal 1/6 binary64)) re) re)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
34.0%
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 #s(approx (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 im im) (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 re re))))) (*.f64 re re) #s(literal 1 binary64))) re)))
21.8%
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 #s(approx (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 im im))) re)))
10.0%
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 #s(approx (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) #s(literal -1/6 binary64)) re) re)) re)))
16.7%
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) re) (*.f64 (*.f64 (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/12 binary64) (*.f64 #s(literal 1/2 binary64) re)) im) im))))
Compiler

Compiled 1 732 to 1 191 computations (31.2% saved)

simplify97.0ms (1.3%)

Memory
4.7MiB live, 147.8MiB allocated; 11ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) re) re) #s(literal 1/6 binary64)) re))
cost-diff0
#s(approx (+ (* (* 1/2 im) im) 1) #s(literal 1 binary64))
cost-diff0
(*.f64 #s(approx (+ (* (* 1/2 im) im) 1) #s(literal 1 binary64)) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) re) re) #s(literal 1/6 binary64)) re)))
cost-diff0
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (+ (* (* 1/2 im) im) 1) #s(literal 1 binary64)) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) re) re) #s(literal 1/6 binary64)) re))))
cost-diff0
(*.f64 (*.f64 im im) #s(literal 1/2 binary64))
cost-diff0
#s(approx (+ (* (* 1/2 im) im) 1) (*.f64 (*.f64 im im) #s(literal 1/2 binary64)))
cost-diff0
(*.f64 #s(approx (+ (* (* 1/2 im) im) 1) (*.f64 (*.f64 im im) #s(literal 1/2 binary64))) (sin.f64 re))
cost-diff0
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (+ (* (* 1/2 im) im) 1) (*.f64 (*.f64 im im) #s(literal 1/2 binary64))) (sin.f64 re)))
cost-diff0
(fma.f64 (-.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
cost-diff0
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)
cost-diff0
#s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re))
cost-diff0
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #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 (- 0 im)) (exp im)) #s(literal 2 binary64)))
cost-diff0
(fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)
cost-diff0
#s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re))
cost-diff0
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
cost-diff0
(*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im)
cost-diff0
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))
cost-diff0
#s(approx (* 1 (cosh im)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))) (sin.f64 re))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
061515
093498
1174498
2475480
31896476
08253476
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))) (sin.f64 re))
#s(approx (* 1 (cosh im)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im)
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))
#s(literal 1/720 binary64)
(*.f64 im im)
im
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(sin.f64 re)
re
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
#s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re))
(*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)
(fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 im im)
im
#s(literal 1/2 binary64)
#s(literal 1 binary64)
re
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #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 (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)
(fma.f64 (-.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
(-.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64))
(*.f64 #s(literal 1/240 binary64) (*.f64 re re))
#s(literal 1/240 binary64)
(*.f64 re re)
re
#s(literal 1/12 binary64)
#s(literal 1/2 binary64)
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (+ (* (* 1/2 im) im) 1) (*.f64 (*.f64 im im) #s(literal 1/2 binary64))) (sin.f64 re)))
(*.f64 #s(approx (+ (* (* 1/2 im) im) 1) (*.f64 (*.f64 im im) #s(literal 1/2 binary64))) (sin.f64 re))
#s(approx (+ (* (* 1/2 im) im) 1) (*.f64 (*.f64 im im) #s(literal 1/2 binary64)))
(*.f64 (*.f64 im im) #s(literal 1/2 binary64))
(*.f64 im im)
im
#s(literal 1/2 binary64)
(sin.f64 re)
re
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (+ (* (* 1/2 im) im) 1) #s(literal 1 binary64)) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) re) re) #s(literal 1/6 binary64)) re))))
(*.f64 #s(approx (+ (* (* 1/2 im) im) 1) #s(literal 1 binary64)) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) re) re) #s(literal 1/6 binary64)) re)))
#s(approx (+ (* (* 1/2 im) im) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) re) re) #s(literal 1/6 binary64)) re))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) re) re) #s(literal 1/6 binary64)) re)
(pow.f64 re #s(literal 3 binary64))
re
#s(literal 3 binary64)
(-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) re) re) #s(literal 1/6 binary64))
(*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) re) re)
(*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) re)
(fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
(*.f64 re re)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
Outputs
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))) (sin.f64 re))
(*.f64 (sin.f64 re) #s(approx (* 1 (cosh im)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
#s(approx (* 1 (cosh im)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)))
#s(approx (* 1 (cosh im)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im)
(*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im)
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))
(fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
#s(literal 1/720 binary64)
(*.f64 im im)
im
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(sin.f64 re)
re
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) re)))
#s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re))
#s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) re))
(*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) re)
(fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64))
(*.f64 im im)
im
#s(literal 1/2 binary64)
#s(literal 1 binary64)
re
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #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 (- 0 im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 re re) #s(literal 1/240 binary64)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)))
#s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re))
#s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 re re) #s(literal 1/240 binary64)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)
(*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 re re) #s(literal 1/240 binary64)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)
(fma.f64 (-.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
(fma.f64 (-.f64 (*.f64 (*.f64 re re) #s(literal 1/240 binary64)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
(-.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64))
(-.f64 (*.f64 (*.f64 re re) #s(literal 1/240 binary64)) #s(literal 1/12 binary64))
(*.f64 #s(literal 1/240 binary64) (*.f64 re re))
(*.f64 (*.f64 re re) #s(literal 1/240 binary64))
#s(literal 1/240 binary64)
(*.f64 re re)
re
#s(literal 1/12 binary64)
#s(literal 1/2 binary64)
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (+ (* (* 1/2 im) im) 1) (*.f64 (*.f64 im im) #s(literal 1/2 binary64))) (sin.f64 re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (+ (* (* 1/2 im) im) 1) (*.f64 (*.f64 #s(literal 1/2 binary64) im) im)) (sin.f64 re)))
(*.f64 #s(approx (+ (* (* 1/2 im) im) 1) (*.f64 (*.f64 im im) #s(literal 1/2 binary64))) (sin.f64 re))
(*.f64 #s(approx (+ (* (* 1/2 im) im) 1) (*.f64 (*.f64 #s(literal 1/2 binary64) im) im)) (sin.f64 re))
#s(approx (+ (* (* 1/2 im) im) 1) (*.f64 (*.f64 im im) #s(literal 1/2 binary64)))
#s(approx (+ (* (* 1/2 im) im) 1) (*.f64 (*.f64 #s(literal 1/2 binary64) im) im))
(*.f64 (*.f64 im im) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) im) im)
(*.f64 im im)
im
#s(literal 1/2 binary64)
(sin.f64 re)
re
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (+ (* (* 1/2 im) im) 1) #s(literal 1 binary64)) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) re) re) #s(literal 1/6 binary64)) re))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (sin re) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) re) re) #s(literal 1/6 binary64)) (pow.f64 re #s(literal 3 binary64)) re)) #s(approx (+ (* (* 1/2 im) im) 1) #s(literal 1 binary64))))
(*.f64 #s(approx (+ (* (* 1/2 im) im) 1) #s(literal 1 binary64)) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) re) re) #s(literal 1/6 binary64)) re)))
(*.f64 #s(approx (sin re) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) re) re) #s(literal 1/6 binary64)) (pow.f64 re #s(literal 3 binary64)) re)) #s(approx (+ (* (* 1/2 im) im) 1) #s(literal 1 binary64)))
#s(approx (+ (* (* 1/2 im) im) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) re) re) #s(literal 1/6 binary64)) re))
#s(approx (sin re) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) re) re) #s(literal 1/6 binary64)) (pow.f64 re #s(literal 3 binary64)) re))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) re) re) #s(literal 1/6 binary64)) re)
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) re) re) #s(literal 1/6 binary64)) (pow.f64 re #s(literal 3 binary64)) re)
(pow.f64 re #s(literal 3 binary64))
re
#s(literal 3 binary64)
(-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) re) re) #s(literal 1/6 binary64))
(*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) re) re)
(*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) re)
(fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
(*.f64 re re)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)

localize153.0ms (2.1%)

Memory
-11.8MiB live, 273.1MiB allocated; 22ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy3.3539415348949655
(*.f64 #s(approx (+ (* (* 1/2 im) im) 1) #s(literal 1 binary64)) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) re) re) #s(literal 1/6 binary64)) re)))
accuracy17.85670580519556
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (+ (* (* 1/2 im) im) 1) #s(literal 1 binary64)) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) re) re) #s(literal 1/6 binary64)) re))))
accuracy29.172646402024558
#s(approx (+ (* (* 1/2 im) im) 1) #s(literal 1 binary64))
accuracy30.166233575320383
#s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) re) re) #s(literal 1/6 binary64)) re))
accuracy0.00390625
(*.f64 (*.f64 im im) #s(literal 1/2 binary64))
accuracy3.3539415348949655
(*.f64 #s(approx (+ (* (* 1/2 im) im) 1) (*.f64 (*.f64 im im) #s(literal 1/2 binary64))) (sin.f64 re))
accuracy17.85670580519556
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (+ (* (* 1/2 im) im) 1) (*.f64 (*.f64 im im) #s(literal 1/2 binary64))) (sin.f64 re)))
accuracy32.920918195614284
#s(approx (+ (* (* 1/2 im) im) 1) (*.f64 (*.f64 im im) #s(literal 1/2 binary64)))
accuracy0.04296875
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)
accuracy0.38092434690689503
(*.f64 #s(literal 1/240 binary64) (*.f64 re re))
accuracy29.51460518200232
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
accuracy29.979789448278005
#s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re))
accuracy0.00390625
(fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))
accuracy3.3461290348949655
(*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)
accuracy17.85670580519556
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
accuracy25.532488454808327
#s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re))
accuracy0.03125
(*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im)
accuracy0.04296875
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64))
accuracy0.08203125
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))
accuracy4.7371165577135095
#s(approx (* 1 (cosh im)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)))
Samples
114.0ms255×0valid
1.0ms3valid
Compiler

Compiled 338 to 55 computations (83.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 84.0ms
ival-mult: 31.0ms (36.7% of total)
const: 21.0ms (24.9% of total)
ival-add: 9.0ms (10.7% of total)
ival-sub: 5.0ms (5.9% of total)
ival-sin: 5.0ms (5.9% of total)
ival-exp: 3.0ms (3.6% of total)
ival-cosh: 3.0ms (3.6% of total)
ival-pow: 3.0ms (3.6% of total)
adjust: 1.0ms (1.2% of total)
exact: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series20.0ms (0.3%)

Memory
-15.6MiB live, 34.5MiB allocated; 7ms collecting garbage
Counts
24 → 79
Calls
Call 1
Inputs
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))) (sin.f64 re))
#s(approx (* 1 (cosh im)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im)
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
#s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re))
(*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)
(fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #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 (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)
(fma.f64 (-.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (+ (* (* 1/2 im) im) 1) (*.f64 (*.f64 im im) #s(literal 1/2 binary64))) (sin.f64 re)))
(*.f64 #s(approx (+ (* (* 1/2 im) im) 1) (*.f64 (*.f64 im im) #s(literal 1/2 binary64))) (sin.f64 re))
#s(approx (+ (* (* 1/2 im) im) 1) (*.f64 (*.f64 im im) #s(literal 1/2 binary64)))
(*.f64 (*.f64 im im) #s(literal 1/2 binary64))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (+ (* (* 1/2 im) im) 1) #s(literal 1 binary64)) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) re) re) #s(literal 1/6 binary64)) re))))
(*.f64 #s(approx (+ (* (* 1/2 im) im) 1) #s(literal 1 binary64)) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) re) re) #s(literal 1/6 binary64)) re)))
#s(approx (+ (* (* 1/2 im) im) 1) #s(literal 1 binary64))
#s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) re) re) #s(literal 1/6 binary64)) re))
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
(*.f64 #s(literal 1/240 binary64) (*.f64 re re))
Outputs
(* 1/2 (* re (+ (exp im) (/ 1 (exp im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/240 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (+ (exp im) (/ 1 (exp im))))))))))
(* 1/2 (* re (+ (exp im) (exp (neg im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im))))))))))
(* re (+ 1 (* 1/2 (pow im 2))))
(* re (+ 1 (+ (* -1/6 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))) (* 1/2 (pow im 2)))))
(* re (+ 1 (+ (* 1/2 (pow im 2)) (* (pow re 2) (+ (* -1/6 (+ 1 (* 1/2 (pow im 2)))) (* 1/120 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))))))))
(* re (+ 1 (+ (* 1/2 (pow im 2)) (* (pow re 2) (+ (* -1/6 (+ 1 (* 1/2 (pow im 2)))) (* (pow re 2) (+ (* -1/5040 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))) (* 1/120 (+ 1 (* 1/2 (pow im 2)))))))))))
(* 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))))
1/2
(+ 1/2 (* -1/12 (pow re 2)))
(+ 1/2 (* (pow re 2) (- (* 1/240 (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))))
(* 1/240 (pow re 2))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* (sin re) (+ 1 (* 1/2 (pow im 2))))
(* 1/2 (sin re))
(* 1/240 (pow re 5))
(* (pow re 5) (- 1/240 (* 1/12 (/ 1 (pow re 2)))))
(* (pow re 5) (- (+ 1/240 (/ 1/2 (pow re 4))) (* 1/12 (/ 1 (pow re 2)))))
(* 1/240 (pow re 4))
(* (pow re 4) (- 1/240 (* 1/12 (/ 1 (pow re 2)))))
(* (pow re 4) (- (+ 1/240 (/ 1/2 (pow re 4))) (* 1/12 (/ 1 (pow re 2)))))
(sin re)
(* -1 (* (pow re 5) (- (* 1/12 (/ 1 (pow re 2))) 1/240)))
(* -1 (* (pow re 5) (- (* 1/12 (/ 1 (pow re 2))) (+ 1/240 (/ 1/2 (pow re 4))))))
(+ (sin re) (* 1/2 (* (pow im 2) (sin re))))
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))
1
(+ 1 (* 1/2 (pow im 2)))
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))
(* 1/2 im)
(* im (+ 1/2 (* 1/24 (pow im 2))))
(* im (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))
(+ re (* 1/2 (* (pow im 2) re)))
(* 1/2 (pow im 2))
1/24
(+ 1/24 (* 1/720 (pow im 2)))
(+ 1/2 (* 1/24 (pow im 2)))
(+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))
2
(+ 2 (pow im 2))
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/720 (pow im 6))
(* (pow im 6) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))
(* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (+ (* 1/24 (/ 1 (pow im 2))) (/ 1 (pow im 6))))))
(* 1/720 (pow im 5))
(* (pow im 5) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(* (pow im 5) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))
(* 1/2 (* (pow im 2) (sin re)))
(* (pow im 2) (+ (* 1/2 (sin re)) (/ (sin re) (pow im 2))))
(* 1/2 (* (pow im 2) re))
(* (pow im 2) (+ (* 1/2 re) (/ re (pow im 2))))
(* (pow im 2) (+ 1/2 (/ 1 (pow im 2))))
(* 1/720 (pow im 2))
(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(* 1/720 (pow im 4))
(* (pow im 4) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(* (pow im 4) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))
(+ (exp im) (exp (neg im)))
(* -1 (* (pow im 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow im 2)))) (pow im 2))) 1/720)))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(+ (exp im) (exp (* -1 im)))
Calls

6 calls:

TimeVariablePointExpression
7.0ms
im
@inf
((* (* 1 (cosh im)) (sin re)) (* 1 (cosh im)) (+ (* (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) im) im) 1) (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (* (+ (* (* im im) 1/2) 1) re) (+ (* (* im im) 1/2) 1) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) re) (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (+ (* (* 1/2 im) im) 1) (* (* im im) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (+ (* (* 1/2 im) im) 1) (sin re) (+ (* 1/720 (* im im)) 1/24) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (+ (exp (- 0 im)) (exp im)) (* 1/240 (* re re)))
3.0ms
re
@inf
((* (* 1 (cosh im)) (sin re)) (* 1 (cosh im)) (+ (* (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) im) im) 1) (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (* (+ (* (* im im) 1/2) 1) re) (+ (* (* im im) 1/2) 1) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) re) (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (+ (* (* 1/2 im) im) 1) (* (* im im) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (+ (* (* 1/2 im) im) 1) (sin re) (+ (* 1/720 (* im im)) 1/24) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (+ (exp (- 0 im)) (exp im)) (* 1/240 (* re re)))
3.0ms
re
@-inf
((* (* 1 (cosh im)) (sin re)) (* 1 (cosh im)) (+ (* (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) im) im) 1) (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (* (+ (* (* im im) 1/2) 1) re) (+ (* (* im im) 1/2) 1) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) re) (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (+ (* (* 1/2 im) im) 1) (* (* im im) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (+ (* (* 1/2 im) im) 1) (sin re) (+ (* 1/720 (* im im)) 1/24) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (+ (exp (- 0 im)) (exp im)) (* 1/240 (* re re)))
3.0ms
im
@-inf
((* (* 1 (cosh im)) (sin re)) (* 1 (cosh im)) (+ (* (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) im) im) 1) (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (* (+ (* (* im im) 1/2) 1) re) (+ (* (* im im) 1/2) 1) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) re) (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (+ (* (* 1/2 im) im) 1) (* (* im im) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (+ (* (* 1/2 im) im) 1) (sin re) (+ (* 1/720 (* im im)) 1/24) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (+ (exp (- 0 im)) (exp im)) (* 1/240 (* re re)))
2.0ms
re
@0
((* (* 1 (cosh im)) (sin re)) (* 1 (cosh im)) (+ (* (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) im) im) 1) (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (* (+ (* (* im im) 1/2) 1) re) (+ (* (* im im) 1/2) 1) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) re) (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (+ (* (* 1/2 im) im) 1) (* (* im im) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (+ (* (* 1/2 im) im) 1) (sin re) (+ (* 1/720 (* im im)) 1/24) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (+ (exp (- 0 im)) (exp im)) (* 1/240 (* re re)))

simplify176.0ms (2.4%)

Memory
-13.2MiB live, 232.4MiB allocated; 64ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02371050
1942976
23387943
08758877
Stop Event
iter limit
node limit
Counts
79 → 78
Calls
Call 1
Inputs
(* 1/2 (* re (+ (exp im) (/ 1 (exp im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/240 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (+ (exp im) (/ 1 (exp im))))))))))
(* 1/2 (* re (+ (exp im) (exp (neg im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im))))))))))
(* re (+ 1 (* 1/2 (pow im 2))))
(* re (+ 1 (+ (* -1/6 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))) (* 1/2 (pow im 2)))))
(* re (+ 1 (+ (* 1/2 (pow im 2)) (* (pow re 2) (+ (* -1/6 (+ 1 (* 1/2 (pow im 2)))) (* 1/120 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))))))))
(* re (+ 1 (+ (* 1/2 (pow im 2)) (* (pow re 2) (+ (* -1/6 (+ 1 (* 1/2 (pow im 2)))) (* (pow re 2) (+ (* -1/5040 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))) (* 1/120 (+ 1 (* 1/2 (pow im 2)))))))))))
(* 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))))
1/2
(+ 1/2 (* -1/12 (pow re 2)))
(+ 1/2 (* (pow re 2) (- (* 1/240 (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))))
(* 1/240 (pow re 2))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* (sin re) (+ 1 (* 1/2 (pow im 2))))
(* 1/2 (sin re))
(* 1/240 (pow re 5))
(* (pow re 5) (- 1/240 (* 1/12 (/ 1 (pow re 2)))))
(* (pow re 5) (- (+ 1/240 (/ 1/2 (pow re 4))) (* 1/12 (/ 1 (pow re 2)))))
(* 1/240 (pow re 4))
(* (pow re 4) (- 1/240 (* 1/12 (/ 1 (pow re 2)))))
(* (pow re 4) (- (+ 1/240 (/ 1/2 (pow re 4))) (* 1/12 (/ 1 (pow re 2)))))
(sin re)
(* -1 (* (pow re 5) (- (* 1/12 (/ 1 (pow re 2))) 1/240)))
(* -1 (* (pow re 5) (- (* 1/12 (/ 1 (pow re 2))) (+ 1/240 (/ 1/2 (pow re 4))))))
(+ (sin re) (* 1/2 (* (pow im 2) (sin re))))
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))
1
(+ 1 (* 1/2 (pow im 2)))
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))
(* 1/2 im)
(* im (+ 1/2 (* 1/24 (pow im 2))))
(* im (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))
(+ re (* 1/2 (* (pow im 2) re)))
(* 1/2 (pow im 2))
1/24
(+ 1/24 (* 1/720 (pow im 2)))
(+ 1/2 (* 1/24 (pow im 2)))
(+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))
2
(+ 2 (pow im 2))
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/720 (pow im 6))
(* (pow im 6) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))
(* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (+ (* 1/24 (/ 1 (pow im 2))) (/ 1 (pow im 6))))))
(* 1/720 (pow im 5))
(* (pow im 5) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(* (pow im 5) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))
(* 1/2 (* (pow im 2) (sin re)))
(* (pow im 2) (+ (* 1/2 (sin re)) (/ (sin re) (pow im 2))))
(* 1/2 (* (pow im 2) re))
(* (pow im 2) (+ (* 1/2 re) (/ re (pow im 2))))
(* (pow im 2) (+ 1/2 (/ 1 (pow im 2))))
(* 1/720 (pow im 2))
(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(* 1/720 (pow im 4))
(* (pow im 4) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(* (pow im 4) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))
(+ (exp im) (exp (neg im)))
(* -1 (* (pow im 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow im 2)))) (pow im 2))) 1/720)))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(+ (exp im) (exp (* -1 im)))
Outputs
(* 1/2 (* re (+ (exp im) (/ 1 (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 im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))))
(*.f64 (fma.f64 (exp.f64 im) re (/.f64 re (exp.f64 im))) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/240 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (*.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 (*.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (+ (exp im) (/ 1 (exp im))))))))))
(*.f64 (fma.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)) (*.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64))))) re)
(* 1/2 (* re (+ (exp im) (exp (neg 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 im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))
(*.f64 (fma.f64 (exp.f64 im) re (/.f64 re (exp.f64 im))) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (*.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 (*.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im))))))))))
(*.f64 (fma.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)) (*.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64))))) re)
(* re (+ 1 (* 1/2 (pow im 2))))
(*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)
(* re (+ 1 (+ (* -1/6 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))) (* 1/2 (pow im 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)
(* re (+ 1 (+ (* 1/2 (pow im 2)) (* (pow re 2) (+ (* -1/6 (+ 1 (* 1/2 (pow im 2)))) (* 1/120 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))))))))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64))) (*.f64 re re) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)
(* re (+ 1 (+ (* 1/2 (pow im 2)) (* (pow re 2) (+ (* -1/6 (+ 1 (* 1/2 (pow im 2)))) (* (pow re 2) (+ (* -1/5040 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))) (* 1/120 (+ 1 (* 1/2 (pow im 2)))))))))))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 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 (-.f64 (*.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))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/240 binary64) re) re (-.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/10080 binary64)) #s(literal 1/12 binary64))) (*.f64 #s(literal 1/2 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 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))
(fma.f64 (-.f64 (*.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 (* -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)) (-.f64 (*.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 (*.f64 #s(literal 1/120 binary64) re) re (-.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/6 binary64))) re)
(* 1/240 (pow re 2))
(*.f64 #s(literal 1/240 binary64) (*.f64 re re))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(*.f64 (fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sin.f64 re))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(*.f64 (fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sin.f64 re))
(* (sin re) (+ 1 (* 1/2 (pow im 2))))
(*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sin.f64 re))
(* 1/2 (sin re))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
(* 1/240 (pow re 5))
(*.f64 (pow.f64 re #s(literal 5 binary64)) #s(literal 1/240 binary64))
(* (pow re 5) (- 1/240 (* 1/12 (/ 1 (pow re 2)))))
(*.f64 (-.f64 #s(literal 1/240 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 re re))) (pow.f64 re #s(literal 5 binary64)))
(* (pow re 5) (- (+ 1/240 (/ 1/2 (pow re 4))) (* 1/12 (/ 1 (pow re 2)))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 4 binary64))) #s(literal 1/240 binary64)) (/.f64 #s(literal 1/12 binary64) (*.f64 re re))) (pow.f64 re #s(literal 5 binary64)))
(* 1/240 (pow re 4))
(*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/240 binary64))
(* (pow re 4) (- 1/240 (* 1/12 (/ 1 (pow re 2)))))
(*.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 #s(literal 1/240 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 re re))))
(* (pow re 4) (- (+ 1/240 (/ 1/2 (pow re 4))) (* 1/12 (/ 1 (pow re 2)))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 4 binary64))) #s(literal 1/240 binary64)) (/.f64 #s(literal 1/12 binary64) (*.f64 re re))) (pow.f64 re #s(literal 4 binary64)))
(sin re)
(sin.f64 re)
(* -1 (* (pow re 5) (- (* 1/12 (/ 1 (pow re 2))) 1/240)))
(*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 re re)) #s(literal 1/240 binary64))) (pow.f64 re #s(literal 5 binary64)))
(* -1 (* (pow re 5) (- (* 1/12 (/ 1 (pow re 2))) (+ 1/240 (/ 1/2 (pow re 4))))))
(*.f64 (neg.f64 (pow.f64 re #s(literal 5 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 re re)) #s(literal 1/240 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 4 binary64)))))
(+ (sin re) (* 1/2 (* (pow im 2) (sin re))))
(*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sin.f64 re))
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))
(*.f64 (sin.f64 re) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))
(fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sin.f64 re) (*.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (sin.f64 re) (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow im 2)))
(fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
(* 1/2 im)
(*.f64 #s(literal 1/2 binary64) im)
(* im (+ 1/2 (* 1/24 (pow im 2))))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) im)
(* im (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im)
(+ re (* 1/2 (* (pow im 2) re)))
(*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)
(* 1/2 (pow im 2))
(*.f64 (*.f64 im im) #s(literal 1/2 binary64))
1/24
#s(literal 1/24 binary64)
(+ 1/24 (* 1/720 (pow im 2)))
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))
(+ 1/2 (* 1/24 (pow im 2)))
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))
(+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64))
2
#s(literal 2 binary64)
(+ 2 (pow im 2))
(fma.f64 im im #s(literal 2 binary64))
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))
(fma.f64 im im (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) #s(literal 2 binary64)))
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))
(fma.f64 im im (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) #s(literal 2 binary64)))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(* 1/720 (pow im 6))
(*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/720 binary64))
(* (pow im 6) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/720 binary64)) (pow.f64 im #s(literal 6 binary64)))
(* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal -1/24 binary64) (*.f64 im im))) (pow.f64 im #s(literal 6 binary64)))
(* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (+ (* 1/24 (/ 1 (pow im 2))) (/ 1 (pow im 6))))))
(fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal -1/24 binary64) (*.f64 im im))) (pow.f64 im #s(literal 6 binary64)) #s(literal 1 binary64))
(* 1/720 (pow im 5))
(*.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal 1/720 binary64))
(* (pow im 5) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(*.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/720 binary64)))
(* (pow im 5) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))
(*.f64 (pow.f64 im #s(literal 5 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal -1/24 binary64) (*.f64 im im))))
(* 1/2 (* (pow im 2) (sin re)))
(*.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) im) im)
(* (pow im 2) (+ (* 1/2 (sin re)) (/ (sin re) (pow im 2))))
(*.f64 (fma.f64 (sin.f64 re) #s(literal 1/2 binary64) (/.f64 (/.f64 (sin.f64 re) im) im)) (*.f64 im im))
(* 1/2 (* (pow im 2) re))
(*.f64 (*.f64 (*.f64 im im) re) #s(literal 1/2 binary64))
(* (pow im 2) (+ (* 1/2 re) (/ re (pow im 2))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re (/.f64 re (*.f64 im im))) im) im)
(* (pow im 2) (+ 1/2 (/ 1 (pow im 2))))
(fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))
(* 1/720 (pow im 2))
(*.f64 #s(literal 1/720 binary64) (*.f64 im im))
(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))
(* 1/720 (pow im 4))
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/720 binary64))
(* (pow im 4) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/720 binary64)))
(* (pow im 4) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal -1/24 binary64) (*.f64 im im))) (pow.f64 im #s(literal 4 binary64)))
(+ (exp im) (exp (neg im)))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* -1 (* (pow im 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow im 2)))) (pow im 2))) 1/720)))
(*.f64 (neg.f64 (pow.f64 im #s(literal 5 binary64))) (-.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal -1/24 binary64) (*.f64 im im))) #s(literal 1/720 binary64)))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(*.f64 (fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sin.f64 re))
(+ (exp im) (exp (* -1 im)))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite162.0ms (2.2%)

Memory
31.7MiB live, 265.0MiB allocated; 18ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
061409
093392
1335382
22152382
08815382
Stop Event
iter limit
node limit
iter limit
Counts
24 → 291
Calls
Call 1
Inputs
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))) (sin.f64 re))
#s(approx (* 1 (cosh im)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im)
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
#s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re))
(*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)
(fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #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 (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)
(fma.f64 (-.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (+ (* (* 1/2 im) im) 1) (*.f64 (*.f64 im im) #s(literal 1/2 binary64))) (sin.f64 re)))
(*.f64 #s(approx (+ (* (* 1/2 im) im) 1) (*.f64 (*.f64 im im) #s(literal 1/2 binary64))) (sin.f64 re))
#s(approx (+ (* (* 1/2 im) im) 1) (*.f64 (*.f64 im im) #s(literal 1/2 binary64)))
(*.f64 (*.f64 im im) #s(literal 1/2 binary64))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (+ (* (* 1/2 im) im) 1) #s(literal 1 binary64)) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) re) re) #s(literal 1/6 binary64)) re))))
(*.f64 #s(approx (+ (* (* 1/2 im) im) 1) #s(literal 1 binary64)) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) re) re) #s(literal 1/6 binary64)) re)))
#s(approx (+ (* (* 1/2 im) im) 1) #s(literal 1 binary64))
#s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) re) re) #s(literal 1/6 binary64)) re))
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
(*.f64 #s(literal 1/240 binary64) (*.f64 re re))
Outputs
(*.f64 (sin.f64 re) #s(approx (* 1 (cosh im)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))) (sin.f64 re))
#s(approx (* 1 (cosh im)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im) #s(literal 3 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im) #s(literal 3 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im)))) (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im) #s(literal 3 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im)))) (-.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im))) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im) #s(literal 3 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im)))) (pow.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im))) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im) #s(literal 1 binary64))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im) #s(literal 3 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im))) (*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im))) #s(literal 1 binary64))) (*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im))) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im) #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im))))
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (neg.f64 im)) (neg.f64 im) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) (*.f64 im #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 (*.f64 im im) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 (*.f64 im im) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 im (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 im (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im))) (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im)) im))
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(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) im) (*.f64 #s(literal 1/2 binary64) im))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64))) (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) im) (*.f64 #s(literal 1/2 binary64) im)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/4 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) im) im) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) im) (*.f64 #s(literal 1/2 binary64) im)))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) im) (*.f64 #s(literal 1/2 binary64) im))))
(fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (neg.f64 im)) (neg.f64 im) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) im) im #s(literal 1/2 binary64))
(fma.f64 (neg.f64 im) (*.f64 (neg.f64 im) (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64))
(fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(fma.f64 im (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) im) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) im) im))) (/.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) im) im))))
(-.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) im) im) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) im) im) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) im)) im))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 im im)))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 im im)) (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))
(+.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) im) (*.f64 #s(literal 1/2 binary64) im))))) (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) im) (*.f64 #s(literal 1/2 binary64) im))))))
(+.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) im) (*.f64 #s(literal 1/2 binary64) im))))) (/.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) im) (*.f64 #s(literal 1/2 binary64) im))))))
(+.f64 (/.f64 #s(literal 1/8 binary64) (-.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) im) (*.f64 #s(literal 1/2 binary64) im)))) (/.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) im) (*.f64 #s(literal 1/2 binary64) im)))))
(+.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) im) (*.f64 #s(literal 1/2 binary64) im)))) (/.f64 #s(literal 1/8 binary64) (-.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) im) (*.f64 #s(literal 1/2 binary64) im)))))
(+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) im) im) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) im) im))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
(*.f64 (fabs.f64 (*.f64 #s(literal 1/240 binary64) (neg.f64 re))) re)
(*.f64 (fabs.f64 (*.f64 #s(literal 1/240 binary64) re)) re)
(*.f64 (*.f64 #s(literal 1/240 binary64) (neg.f64 re)) (neg.f64 re))
(*.f64 (*.f64 #s(literal 1/240 binary64) re) re)
(*.f64 (neg.f64 re) (*.f64 (neg.f64 re) #s(literal 1/240 binary64)))
(*.f64 (*.f64 re re) #s(literal 1/240 binary64))
(*.f64 #s(literal 1/240 binary64) (*.f64 re re))
(*.f64 re (fabs.f64 (*.f64 (neg.f64 re) #s(literal 1/240 binary64))))
(*.f64 re (fabs.f64 (*.f64 #s(literal 1/240 binary64) re)))
(*.f64 re (*.f64 #s(literal 1/240 binary64) re))
(sqrt.f64 (*.f64 #s(literal 1/57600 binary64) (pow.f64 re #s(literal 4 binary64))))
(fabs.f64 (neg.f64 (*.f64 (*.f64 re re) #s(literal 1/240 binary64))))
(fabs.f64 (*.f64 (*.f64 re re) #s(literal 1/240 binary64)))

eval49.0ms (0.7%)

Memory
-1.1MiB live, 98.8MiB allocated; 9ms collecting garbage
Compiler

Compiled 16 163 to 1 935 computations (88% saved)

prune32.0ms (0.4%)

Memory
-15.7MiB live, 78.8MiB allocated; 4ms collecting garbage
Pruning

30 alts after pruning (22 fresh and 8 done)

PrunedKeptTotal
New3569365
Fresh41317
Picked145
Done044
Total36130391
Accuracy
100.0%
Counts
391 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (sin.f64 re) (cosh.f64 im))
89.6%
(*.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
58.4%
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) re) re) #s(literal 1/6 binary64)) re)))
58.2%
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re)))
69.1%
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 im im)) (*.f64 #s(literal -1/720 binary64) (*.f64 im im)))) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 im im)))) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
92.5%
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
92.6%
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) im) im #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))) (sin.f64 re))
92.6%
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))) (sin.f64 re))
92.5%
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))) (sin.f64 re))
40.5%
(*.f64 #s(approx (* 1/2 (sin re)) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 re re) #s(literal 1/240 binary64)) #s(literal 1/12 binary64)) re) re) re (*.f64 #s(literal 1/2 binary64) re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
62.9%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #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 (- 0 im)) (exp im)) (fma.f64 im im (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) #s(literal 2 binary64)))))
54.9%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #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 (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
40.5%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #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 (- 0 im)) (exp im)) #s(literal 2 binary64)))
35.5%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
61.3%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64)))))
60.2%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 im im #s(literal 2 binary64)))))
30.5%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
77.2%
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re)))
27.2%
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (+ (* (* 1/2 im) im) 1) (*.f64 (*.f64 im im) #s(literal 1/2 binary64))) (sin.f64 re)))
53.7%
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (+ (* (* 1/2 im) im) 1) #s(literal 1 binary64)) (sin.f64 re)))
38.0%
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (+ (* (* 1/2 im) im) 1) #s(literal 1 binary64)) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) re) re) #s(literal 1/6 binary64)) re))))
43.6%
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64))) (*.f64 re re) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
51.6%
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) re)))
42.1%
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (*.f64 #s(approx (+ (* -1/6 (* re re)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 re re)) #s(literal 1/6 binary64)) re) re)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
34.0%
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 #s(approx (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 im im) (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 re re))))) (*.f64 re re) #s(literal 1 binary64))) re)))
21.8%
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 #s(approx (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 im im))) re)))
10.0%
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 #s(approx (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) #s(literal -1/6 binary64)) re) re)) re)))
33.9%
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (+ (* (* im im) 1/2) 1) re) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re (/.f64 re (*.f64 im im))) im) im))))
24.6%
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (+ (* (* im im) 1/2) 1) re) (*.f64 (*.f64 (*.f64 im im) re) #s(literal 1/2 binary64)))))
16.7%
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) re) (*.f64 (*.f64 (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/12 binary64) (*.f64 #s(literal 1/2 binary64) re)) im) im))))
Compiler

Compiled 2 481 to 984 computations (60.3% saved)

regimes94.0ms (1.3%)

Memory
65.1MiB live, 177.7MiB allocated; 33ms collecting garbage
Counts
44 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (+ (* (* im im) 1/2) 1) re) (*.f64 (*.f64 (*.f64 im im) re) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 #s(approx (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) #s(literal -1/6 binary64)) re) re)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 #s(approx (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 im im))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (+ (* (* im im) 1/2) 1) re) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re (/.f64 re (*.f64 im im))) im) im))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #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 (- 0 im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(approx (* 1/2 (sin re)) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 re re) #s(literal 1/240 binary64)) #s(literal 1/12 binary64)) re) re) re (*.f64 #s(literal 1/2 binary64) re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #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 (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 #s(approx (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 im im) (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 re re))))) (*.f64 re re) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (*.f64 #s(approx (+ (* -1/6 (* re re)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 re re)) #s(literal 1/6 binary64)) re) re)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (*.f64 im #s(literal 1/2 binary64)) im (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #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)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64))) (*.f64 re re) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 re re)) #s(literal -1/6 binary64)) (*.f64 (neg.f64 (*.f64 re re)) #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 re re)) #s(literal -1/6 binary64)))) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (+ (* (* 1/2 im) im) 1) #s(literal 1 binary64)) (sin.f64 re)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (+ (* (* 1/2 im) im) 1) (*.f64 (*.f64 im im) #s(literal 1/2 binary64))) (sin.f64 re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) re) (*.f64 (*.f64 (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/12 binary64) (*.f64 #s(literal 1/2 binary64) re)) im) im))))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 im im #s(literal 2 binary64)))))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
(*.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (+ (* (* 1/2 im) im) 1) #s(literal 1 binary64)) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) re) re) #s(literal 1/6 binary64)) re))))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))) (sin.f64 re))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))) (sin.f64 re))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) im) im #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))) (sin.f64 re))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) re) re) #s(literal 1/6 binary64)) re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) re) re) #s(literal 1/6 binary64)) re))))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #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 (- 0 im)) (exp im)) (fma.f64 im im (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 re re)) #s(literal 1/6 binary64)) re)))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) re) re) #s(literal 1/6 binary64)) re)))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 im im)) (*.f64 #s(literal -1/720 binary64) (*.f64 im im)))) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 im im)))) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
(*.f64 (sin.f64 re) (cosh.f64 im))
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Outputs
(*.f64 (sin.f64 re) (cosh.f64 im))
Calls

6 calls:

27.0ms
(sin.f64 re)
17.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
15.0ms
im
11.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
11.0ms
re
Results
AccuracySegmentsBranch
100.0%1(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
100.0%1(sin.f64 re)
100.0%1(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
100.0%1(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
100.0%1re
100.0%1im
Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes185.0ms (2.5%)

Memory
-17.0MiB live, 250.4MiB allocated; 101ms collecting garbage
Counts
41 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (+ (* (* im im) 1/2) 1) re) (*.f64 (*.f64 (*.f64 im im) re) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 #s(approx (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) #s(literal -1/6 binary64)) re) re)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 #s(approx (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 im im))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (+ (* (* im im) 1/2) 1) re) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re (/.f64 re (*.f64 im im))) im) im))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #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 (- 0 im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(approx (* 1/2 (sin re)) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 re re) #s(literal 1/240 binary64)) #s(literal 1/12 binary64)) re) re) re (*.f64 #s(literal 1/2 binary64) re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #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 (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 #s(approx (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 im im) (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 re re))))) (*.f64 re re) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (*.f64 #s(approx (+ (* -1/6 (* re re)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 re re)) #s(literal 1/6 binary64)) re) re)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (*.f64 im #s(literal 1/2 binary64)) im (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #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)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64))) (*.f64 re re) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 re re)) #s(literal -1/6 binary64)) (*.f64 (neg.f64 (*.f64 re re)) #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 re re)) #s(literal -1/6 binary64)))) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (+ (* (* 1/2 im) im) 1) #s(literal 1 binary64)) (sin.f64 re)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (+ (* (* 1/2 im) im) 1) (*.f64 (*.f64 im im) #s(literal 1/2 binary64))) (sin.f64 re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) re) (*.f64 (*.f64 (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/12 binary64) (*.f64 #s(literal 1/2 binary64) re)) im) im))))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 im im #s(literal 2 binary64)))))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
(*.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (+ (* (* 1/2 im) im) 1) #s(literal 1 binary64)) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) re) re) #s(literal 1/6 binary64)) re))))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))) (sin.f64 re))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))) (sin.f64 re))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) im) im #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))) (sin.f64 re))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) re) re) #s(literal 1/6 binary64)) re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) re) re) #s(literal 1/6 binary64)) re))))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #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 (- 0 im)) (exp im)) (fma.f64 im im (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 re re)) #s(literal 1/6 binary64)) re)))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) re) re) #s(literal 1/6 binary64)) re)))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 im im)) (*.f64 #s(literal -1/720 binary64) (*.f64 im im)))) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 im im)))) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
Outputs
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))) (sin.f64 re))
Calls

6 calls:

102.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
20.0ms
(sin.f64 re)
20.0ms
re
11.0ms
im
10.0ms
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
Results
AccuracySegmentsBranch
92.6%1(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
92.6%1(sin.f64 re)
92.6%1(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
92.6%1(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
92.6%1re
92.6%1im
Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes93.0ms (1.3%)

Memory
17.7MiB live, 151.0MiB allocated; 54ms collecting garbage
Counts
31 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (+ (* (* im im) 1/2) 1) re) (*.f64 (*.f64 (*.f64 im im) re) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 #s(approx (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) #s(literal -1/6 binary64)) re) re)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 #s(approx (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 im im))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (+ (* (* im im) 1/2) 1) re) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re (/.f64 re (*.f64 im im))) im) im))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #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 (- 0 im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(approx (* 1/2 (sin re)) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 re re) #s(literal 1/240 binary64)) #s(literal 1/12 binary64)) re) re) re (*.f64 #s(literal 1/2 binary64) re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #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 (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 #s(approx (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 im im) (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 re re))))) (*.f64 re re) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (*.f64 #s(approx (+ (* -1/6 (* re re)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 re re)) #s(literal 1/6 binary64)) re) re)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (*.f64 im #s(literal 1/2 binary64)) im (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #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)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64))) (*.f64 re re) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 re re)) #s(literal -1/6 binary64)) (*.f64 (neg.f64 (*.f64 re re)) #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 re re)) #s(literal -1/6 binary64)))) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (+ (* (* 1/2 im) im) 1) #s(literal 1 binary64)) (sin.f64 re)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (+ (* (* 1/2 im) im) 1) (*.f64 (*.f64 im im) #s(literal 1/2 binary64))) (sin.f64 re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) re) (*.f64 (*.f64 (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/12 binary64) (*.f64 #s(literal 1/2 binary64) re)) im) im))))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 im im #s(literal 2 binary64)))))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
(*.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (+ (* (* 1/2 im) im) 1) #s(literal 1 binary64)) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) re) re) #s(literal 1/6 binary64)) re))))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))) (sin.f64 re))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
Outputs
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))) (sin.f64 re))
Calls

6 calls:

29.0ms
re
20.0ms
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
18.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
8.0ms
(sin.f64 re)
8.0ms
im
Results
AccuracySegmentsBranch
92.5%1(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
92.5%1(sin.f64 re)
92.5%1(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
92.5%1(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
92.5%1re
92.5%1im
Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes93.0ms (1.3%)

Memory
7.4MiB live, 156.9MiB allocated; 51ms collecting garbage
Counts
29 → 2
Calls
Call 1
Inputs
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (+ (* (* im im) 1/2) 1) re) (*.f64 (*.f64 (*.f64 im im) re) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 #s(approx (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) #s(literal -1/6 binary64)) re) re)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 #s(approx (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 im im))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (+ (* (* im im) 1/2) 1) re) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re (/.f64 re (*.f64 im im))) im) im))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #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 (- 0 im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(approx (* 1/2 (sin re)) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 re re) #s(literal 1/240 binary64)) #s(literal 1/12 binary64)) re) re) re (*.f64 #s(literal 1/2 binary64) re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #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 (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 #s(approx (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 im im) (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 re re))))) (*.f64 re re) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (*.f64 #s(approx (+ (* -1/6 (* re re)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 re re)) #s(literal 1/6 binary64)) re) re)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (*.f64 im #s(literal 1/2 binary64)) im (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #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)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64))) (*.f64 re re) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 re re)) #s(literal -1/6 binary64)) (*.f64 (neg.f64 (*.f64 re re)) #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 re re)) #s(literal -1/6 binary64)))) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (+ (* (* 1/2 im) im) 1) #s(literal 1 binary64)) (sin.f64 re)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (+ (* (* 1/2 im) im) 1) (*.f64 (*.f64 im im) #s(literal 1/2 binary64))) (sin.f64 re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) re) (*.f64 (*.f64 (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/12 binary64) (*.f64 #s(literal 1/2 binary64) re)) im) im))))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 im im #s(literal 2 binary64)))))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
(*.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (+ (* (* 1/2 im) im) 1) #s(literal 1 binary64)) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) re) re) #s(literal 1/6 binary64)) re))))
Outputs
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64)))))
Calls

6 calls:

33.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
18.0ms
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
17.0ms
im
8.0ms
(sin.f64 re)
8.0ms
re
Results
AccuracySegmentsBranch
89.6%1re
89.6%1(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
89.6%1(sin.f64 re)
89.6%1(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
91.8%2(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
89.6%1im
Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes27.0ms (0.4%)

Memory
2.1MiB live, 48.6MiB allocated; 5ms collecting garbage
Counts
27 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (+ (* (* im im) 1/2) 1) re) (*.f64 (*.f64 (*.f64 im im) re) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 #s(approx (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) #s(literal -1/6 binary64)) re) re)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 #s(approx (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 im im))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (+ (* (* im im) 1/2) 1) re) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re (/.f64 re (*.f64 im im))) im) im))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #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 (- 0 im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(approx (* 1/2 (sin re)) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 re re) #s(literal 1/240 binary64)) #s(literal 1/12 binary64)) re) re) re (*.f64 #s(literal 1/2 binary64) re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #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 (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 #s(approx (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 im im) (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 re re))))) (*.f64 re re) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (*.f64 #s(approx (+ (* -1/6 (* re re)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 re re)) #s(literal 1/6 binary64)) re) re)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (*.f64 im #s(literal 1/2 binary64)) im (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #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)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64))) (*.f64 re re) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 re re)) #s(literal -1/6 binary64)) (*.f64 (neg.f64 (*.f64 re re)) #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 re re)) #s(literal -1/6 binary64)))) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (+ (* (* 1/2 im) im) 1) #s(literal 1 binary64)) (sin.f64 re)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (+ (* (* 1/2 im) im) 1) (*.f64 (*.f64 im im) #s(literal 1/2 binary64))) (sin.f64 re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) re) (*.f64 (*.f64 (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/12 binary64) (*.f64 #s(literal 1/2 binary64) re)) im) im))))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 im im #s(literal 2 binary64)))))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
(*.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
Calls

3 calls:

11.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
7.0ms
(sin.f64 re)
7.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
89.6%1(sin.f64 re)
89.6%1(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
89.6%1(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Compiler

Compiled 18 to 19 computations (-5.6% saved)

regimes54.0ms (0.7%)

Memory
-25.5MiB live, 68.8MiB allocated; 20ms collecting garbage
Counts
25 → 3
Calls
Call 1
Inputs
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (+ (* (* im im) 1/2) 1) re) (*.f64 (*.f64 (*.f64 im im) re) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 #s(approx (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) #s(literal -1/6 binary64)) re) re)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 #s(approx (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 im im))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (+ (* (* im im) 1/2) 1) re) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re (/.f64 re (*.f64 im im))) im) im))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #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 (- 0 im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(approx (* 1/2 (sin re)) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 re re) #s(literal 1/240 binary64)) #s(literal 1/12 binary64)) re) re) re (*.f64 #s(literal 1/2 binary64) re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #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 (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 #s(approx (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 im im) (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 re re))))) (*.f64 re re) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (*.f64 #s(approx (+ (* -1/6 (* re re)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 re re)) #s(literal 1/6 binary64)) re) re)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (*.f64 im #s(literal 1/2 binary64)) im (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #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)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64))) (*.f64 re re) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 re re)) #s(literal -1/6 binary64)) (*.f64 (neg.f64 (*.f64 re re)) #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 re re)) #s(literal -1/6 binary64)))) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (+ (* (* 1/2 im) im) 1) #s(literal 1 binary64)) (sin.f64 re)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (+ (* (* 1/2 im) im) 1) (*.f64 (*.f64 im im) #s(literal 1/2 binary64))) (sin.f64 re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) re) (*.f64 (*.f64 (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/12 binary64) (*.f64 #s(literal 1/2 binary64) re)) im) im))))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 im im #s(literal 2 binary64)))))
Outputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 #s(approx (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) #s(literal -1/6 binary64)) re) re)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 im im #s(literal 2 binary64)))))
Calls

6 calls:

8.0ms
(sin.f64 re)
7.0ms
im
7.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
7.0ms
re
6.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
83.3%2re
83.5%2(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
91.4%3(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
90.0%4im
83.3%3(sin.f64 re)
83.3%3(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes14.0ms (0.2%)

Memory
23.5MiB live, 23.5MiB allocated; 0ms collecting garbage
Counts
24 → 3
Calls
Call 1
Inputs
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (+ (* (* im im) 1/2) 1) re) (*.f64 (*.f64 (*.f64 im im) re) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 #s(approx (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) #s(literal -1/6 binary64)) re) re)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 #s(approx (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 im im))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (+ (* (* im im) 1/2) 1) re) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re (/.f64 re (*.f64 im im))) im) im))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #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 (- 0 im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(approx (* 1/2 (sin re)) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 re re) #s(literal 1/240 binary64)) #s(literal 1/12 binary64)) re) re) re (*.f64 #s(literal 1/2 binary64) re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #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 (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 #s(approx (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 im im) (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 re re))))) (*.f64 re re) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (*.f64 #s(approx (+ (* -1/6 (* re re)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 re re)) #s(literal 1/6 binary64)) re) re)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (*.f64 im #s(literal 1/2 binary64)) im (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #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)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64))) (*.f64 re re) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 re re)) #s(literal -1/6 binary64)) (*.f64 (neg.f64 (*.f64 re re)) #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 re re)) #s(literal -1/6 binary64)))) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (+ (* (* 1/2 im) im) 1) #s(literal 1 binary64)) (sin.f64 re)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (+ (* (* 1/2 im) im) 1) (*.f64 (*.f64 im im) #s(literal 1/2 binary64))) (sin.f64 re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) re) (*.f64 (*.f64 (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/12 binary64) (*.f64 #s(literal 1/2 binary64) re)) im) im))))
Outputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 #s(approx (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) #s(literal -1/6 binary64)) re) re)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #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 (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
Calls

2 calls:

7.0ms
im
6.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
84.9%3im
85.8%3(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Compiler

Compiled 13 to 13 computations (0% saved)

regimes7.0ms (0.1%)

Memory
11.5MiB live, 11.5MiB allocated; 0ms collecting garbage
Counts
22 → 3
Calls
Call 1
Inputs
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (+ (* (* im im) 1/2) 1) re) (*.f64 (*.f64 (*.f64 im im) re) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 #s(approx (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) #s(literal -1/6 binary64)) re) re)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 #s(approx (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 im im))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (+ (* (* im im) 1/2) 1) re) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re (/.f64 re (*.f64 im im))) im) im))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #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 (- 0 im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(approx (* 1/2 (sin re)) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 re re) #s(literal 1/240 binary64)) #s(literal 1/12 binary64)) re) re) re (*.f64 #s(literal 1/2 binary64) re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #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 (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 #s(approx (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 im im) (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 re re))))) (*.f64 re re) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (*.f64 #s(approx (+ (* -1/6 (* re re)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 re re)) #s(literal 1/6 binary64)) re) re)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (*.f64 im #s(literal 1/2 binary64)) im (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #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)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64))) (*.f64 re re) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 re re)) #s(literal -1/6 binary64)) (*.f64 (neg.f64 (*.f64 re re)) #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 re re)) #s(literal -1/6 binary64)))) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (+ (* (* 1/2 im) im) 1) #s(literal 1 binary64)) (sin.f64 re)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (+ (* (* 1/2 im) im) 1) (*.f64 (*.f64 im im) #s(literal 1/2 binary64))) (sin.f64 re)))
Outputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 #s(approx (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) #s(literal -1/6 binary64)) re) re)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (+ (* (* 1/2 im) im) 1) #s(literal 1 binary64)) (sin.f64 re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #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 (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
Calls

1 calls:

6.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
85.4%3(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes32.0ms (0.4%)

Memory
4.1MiB live, 52.6MiB allocated; 2ms collecting garbage
Counts
18 → 3
Calls
Call 1
Inputs
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (+ (* (* im im) 1/2) 1) re) (*.f64 (*.f64 (*.f64 im im) re) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 #s(approx (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) #s(literal -1/6 binary64)) re) re)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 #s(approx (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 im im))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (+ (* (* im im) 1/2) 1) re) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re (/.f64 re (*.f64 im im))) im) im))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #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 (- 0 im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(approx (* 1/2 (sin re)) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 re re) #s(literal 1/240 binary64)) #s(literal 1/12 binary64)) re) re) re (*.f64 #s(literal 1/2 binary64) re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #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 (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 #s(approx (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 im im) (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 re re))))) (*.f64 re re) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (*.f64 #s(approx (+ (* -1/6 (* re re)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 re re)) #s(literal 1/6 binary64)) re) re)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (*.f64 im #s(literal 1/2 binary64)) im (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #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)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64))) (*.f64 re re) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 re re)) #s(literal -1/6 binary64)) (*.f64 (neg.f64 (*.f64 re re)) #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 re re)) #s(literal -1/6 binary64)))) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
Outputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 #s(approx (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 im im) (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 re re))))) (*.f64 re re) #s(literal 1 binary64))) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #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 (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
Calls

6 calls:

5.0ms
(sin.f64 re)
5.0ms
re
5.0ms
im
5.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
5.0ms
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
Results
AccuracySegmentsBranch
66.9%3(sin.f64 re)
66.9%3(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
58.7%3re
59.2%3im
54.9%1(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
63.1%2(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes10.0ms (0.1%)

Memory
-27.4MiB live, 19.1MiB allocated; 2ms collecting garbage
Counts
13 → 2
Calls
Call 1
Inputs
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (+ (* (* im im) 1/2) 1) re) (*.f64 (*.f64 (*.f64 im im) re) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 #s(approx (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) #s(literal -1/6 binary64)) re) re)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 #s(approx (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 im im))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (+ (* (* im im) 1/2) 1) re) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re (/.f64 re (*.f64 im im))) im) im))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #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 (- 0 im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(approx (* 1/2 (sin re)) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 re re) #s(literal 1/240 binary64)) #s(literal 1/12 binary64)) re) re) re (*.f64 #s(literal 1/2 binary64) re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #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 (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
Outputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #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 (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
Calls

2 calls:

5.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
4.0ms
(sin.f64 re)
Results
AccuracySegmentsBranch
63.1%2(sin.f64 re)
63.1%2(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
Compiler

Compiled 6 to 8 computations (-33.3% saved)

regimes12.0ms (0.2%)

Memory
25.8MiB live, 25.8MiB allocated; 0ms collecting garbage
Counts
12 → 2
Calls
Call 1
Inputs
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (+ (* (* im im) 1/2) 1) re) (*.f64 (*.f64 (*.f64 im im) re) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 #s(approx (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) #s(literal -1/6 binary64)) re) re)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 #s(approx (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 im im))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (+ (* (* im im) 1/2) 1) re) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re (/.f64 re (*.f64 im im))) im) im))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #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 (- 0 im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(approx (* 1/2 (sin re)) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 re re) #s(literal 1/240 binary64)) #s(literal 1/12 binary64)) re) re) re (*.f64 #s(literal 1/2 binary64) re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
Outputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) re)))
Calls

3 calls:

4.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
4.0ms
(sin.f64 re)
4.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
60.3%2(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
60.3%2(sin.f64 re)
60.3%2(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
Compiler

Compiled 18 to 19 computations (-5.6% saved)

regimes11.0ms (0.1%)

Memory
-26.6MiB live, 20.1MiB allocated; 2ms collecting garbage
Counts
9 → 2
Calls
Call 1
Inputs
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (+ (* (* im im) 1/2) 1) re) (*.f64 (*.f64 (*.f64 im im) re) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 #s(approx (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) #s(literal -1/6 binary64)) re) re)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 #s(approx (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 im im))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (+ (* (* im im) 1/2) 1) re) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re (/.f64 re (*.f64 im im))) im) im))))
Outputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 #s(approx (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) #s(literal -1/6 binary64)) re) re)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) re)))
Calls

3 calls:

4.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
3.0ms
(sin.f64 re)
3.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
59.8%2(sin.f64 re)
59.8%2(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
59.8%2(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Compiler

Compiled 18 to 19 computations (-5.6% saved)

regimes7.0ms (0.1%)

Memory
15.5MiB live, 15.5MiB allocated; 0ms collecting garbage
Counts
6 → 2
Calls
Call 1
Inputs
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (+ (* (* im im) 1/2) 1) re) (*.f64 (*.f64 (*.f64 im im) re) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
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 (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) re)))
Calls

3 calls:

2.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
2.0ms
(sin.f64 re)
2.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
57.5%2(sin.f64 re)
57.5%2(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
57.8%2(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Compiler

Compiled 18 to 19 computations (-5.6% saved)

regimes91.0ms (1.2%)

Memory
-9.8MiB live, 31.6MiB allocated; 95ms collecting garbage
Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (+ (* (* im im) 1/2) 1) re) (*.f64 (*.f64 (*.f64 im im) re) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
Outputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) re)))
Calls

6 calls:

80.0ms
re
2.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
2.0ms
(sin.f64 re)
2.0ms
im
2.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
51.6%1(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
51.6%1re
51.6%1(sin.f64 re)
51.6%1(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
51.6%1im
51.6%1(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes8.0ms (0.1%)

Memory
19.0MiB live, 19.0MiB allocated; 0ms collecting garbage
Counts
2 → 2
Calls
Call 1
Inputs
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (+ (* (* im im) 1/2) 1) re) (*.f64 (*.f64 (*.f64 im im) re) #s(literal 1/2 binary64)))))
Outputs
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (+ (* (* im im) 1/2) 1) re) (*.f64 (*.f64 (*.f64 im im) re) #s(literal 1/2 binary64)))))
Calls

6 calls:

1.0ms
(sin.f64 re)
1.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
1.0ms
im
1.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
1.0ms
re
Results
AccuracySegmentsBranch
40.0%2(sin.f64 re)
40.0%2(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
51.4%2(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
40.2%2re
51.4%2(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
51.4%2im
Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes6.0ms (0.1%)

Memory
15.0MiB live, 15.1MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
Outputs
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
Calls

6 calls:

1.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
1.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
1.0ms
(sin.f64 re)
1.0ms
im
1.0ms
re
Results
AccuracySegmentsBranch
30.5%1(sin.f64 re)
30.5%1(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
30.5%1re
30.5%1(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
30.5%1im
30.5%1(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Compiler

Compiled 27 to 30 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9986613244808972
+inf
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9986613244808972
+inf
0.0ms
-inf
-4.1042286157708067e+46
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9986613244808972
+inf
0.0ms
-inf
-4.1042286157708067e+46
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9986613244808972
+inf
0.0ms
-inf
-4.1042286157708067e+46
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch7.0ms (0.1%)

Memory
-51.9MiB live, 1.2MiB allocated; 9ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.642632276418035e-85
2.0500567445055458e-84
6.0ms
1.0672418251163227e-166
2.288626264412321e-152
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.060042305479597e-308
3.157480904328739e-307
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.017026199582569537
0.034710203152248965
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.11524459796497409
4.1200846109591945e-308
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.017026199582569537
0.034710203152248965
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9900003901144743
0.9986613244808972
Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify60.0ms (0.8%)

Memory
31.0MiB live, 77.5MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01551107
12211107
24601107
318831107
473981107
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (sin.f64 re) (cosh.f64 im))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))) (sin.f64 re))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))) (sin.f64 re))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 1 binary64)) (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64))))))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -inf.0 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 #s(approx (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) #s(literal -1/6 binary64)) re) re)) re))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 1 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re))) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 im im #s(literal 2 binary64)))))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -inf.0 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 #s(approx (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) #s(literal -1/6 binary64)) re) re)) re))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 1 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re))) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #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 (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -inf.0 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 #s(approx (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) #s(literal -1/6 binary64)) re) re)) re))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 1 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (+ (* (* 1/2 im) im) 1) #s(literal 1 binary64)) (sin.f64 re))) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #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 (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))))
(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(literal 6639224910209589/33196124551047943668099262909529289208099569857939495199965258637525222491303265171197656391576830354305583092890406313459161208603294202463094998672911709496489454427212076189483008 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re))) (if (<=.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(literal 546812681195753/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 #s(approx (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 im im) (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 re re))))) (*.f64 re re) #s(literal 1 binary64))) re))) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #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 (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))))
(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(literal 8096090132292425/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re))) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #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 (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 5764607523034235/288230376151711744 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re))) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) re))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -3602879701896397/36028797018963968 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 #s(approx (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) #s(literal -1/6 binary64)) re) re)) re))) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) re))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 5764607523034235/288230376151711744 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 (- 0 im)) (exp im)) #s(literal 2 binary64))) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) re))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) re)))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 8962163258467287/9007199254740992 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (+ (* (* im im) 1/2) 1) re) (*.f64 (*.f64 (*.f64 im im) re) #s(literal 1/2 binary64))))))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
Outputs
(*.f64 (sin.f64 re) (cosh.f64 im))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))) (sin.f64 re))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))) (sin.f64 re))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 1 binary64)) (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64))))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 1 binary64)) (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64))))))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -inf.0 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 #s(approx (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) #s(literal -1/6 binary64)) re) re)) re))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 1 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re))) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 im im #s(literal 2 binary64)))))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 #s(approx (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) #s(literal -1/6 binary64)) re) re)) re))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 1 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re))) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 im im #s(literal 2 binary64)))))))
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(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(literal 6639224910209589/33196124551047943668099262909529289208099569857939495199965258637525222491303265171197656391576830354305583092890406313459161208603294202463094998672911709496489454427212076189483008 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re))) (if (<=.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(literal 546812681195753/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 #s(approx (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 im im) (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 re re))))) (*.f64 re re) #s(literal 1 binary64))) re))) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #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 (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))))
(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(literal 8096090132292425/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re))) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #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 (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))))
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(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -3602879701896397/36028797018963968 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 #s(approx (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) #s(literal -1/6 binary64)) re) re)) re))) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) re))))
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#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) re)))
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(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 8962163258467287/9007199254740992 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (+ (* (* im im) 1/2) 1) re) (*.f64 (*.f64 (*.f64 im im) re) #s(literal 1/2 binary64))))))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))

derivations1.9s (26.2%)

Memory
-127.3MiB live, 1 671.5MiB allocated; 943ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02371050
1942976
23387943
08758877
045270
067257
1246249
21645249
08374249
01130
01827
16423
246021
0577421
0176694
1745620
22824592
08318539
02321096
1967986
23906932
08925854
061409
093392
1335382
22152382
08815382
0120380
1476349
21979334
08019303
02482
03475
111369
268265
0824465
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 1 140 to 160 computations (86% saved)

preprocess132.0ms (1.8%)

Memory
9.3MiB live, 241.5MiB allocated; 30ms collecting garbage
Remove

(negabs re)

(abs im)

Compiler

Compiled 2 324 to 362 computations (84.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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