math.sin on complex, imaginary part

Time bar (total: 10.5s)

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory
1.6MiB live, 1.6MiB 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)

sample3.3s (31.2%)

Memory
65.2MiB live, 3 779.5MiB allocated; 783ms collecting garbage
Samples
1.3s1 695×2valid
701.0ms2 405×1valid
635.0ms4 156×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.1s
ival-exp: 1.2s (53.7% of total)
ival-cos: 390.0ms (18.2% of total)
ival-mult: 202.0ms (9.4% of total)
ival-sub: 200.0ms (9.3% of total)
adjust: 181.0ms (8.4% of total)
exact: 10.0ms (0.5% of total)
ival-true: 7.0ms (0.3% of total)
ival-assert: 4.0ms (0.2% of total)
Bogosity

explain402.0ms (3.8%)

Memory
-30.7MiB live, 295.1MiB allocated; 134ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1340-1(3.4989231585079896e+218 0.005171308060204237)(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
00-0-(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
00-0-(exp.f64 im)
00-0-#s(literal 0 binary64)
00-0-(cos.f64 re)
00-0-im
00-0-(-.f64 #s(literal 0 binary64) im)
00-0-re
00-0-(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
00-0-#s(literal 1/2 binary64)
00-0-(exp.f64 (-.f64 #s(literal 0 binary64) im))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))cancellation1331
Confusion
Predicted +Predicted -
+1331
-0122
Precision
1.0
Recall
0.9925373134328358
Confusion?
Predicted +Predicted MaybePredicted -
+13310
-00122
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0123
1133
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
149.0ms246×0valid
51.0ms110×2valid
34.0ms156×1valid
Compiler

Compiled 92 to 37 computations (59.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 85.0ms
ival-exp: 45.0ms (53.2% of total)
ival-cos: 12.0ms (14.2% of total)
adjust: 10.0ms (11.8% of total)
ival-mult: 9.0ms (10.6% of total)
ival-sub: 7.0ms (8.3% of total)
ival-true: 1.0ms (1.2% of total)
exact: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)

preprocess159.0ms (1.5%)

Memory
18.0MiB live, 152.7MiB allocated; 34ms collecting garbage
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
02959
19555
222155
364255
4315355
01112
01811
13811
27311
320111
477010
5784410
0801010
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
Symmetry

(abs re)

(negabs im)

Compiler

Compiled 12 to 11 computations (8.3% saved)

eval0.0ms (0%)

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

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.2%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify163.0ms (1.6%)

Memory
-27.3MiB live, 167.7MiB allocated; 24ms collecting garbage
Localize:

Found 4 expressions of interest:

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

Useful iterations: 4 (0.0ms)

IterNodesCost
01138
01834
13834
27334
320134
477032
5784432
0801032
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(cos.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) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(cos.f64 re)
re
(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
(*.f64 #s(literal 2 binary64) (sinh.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)

localize87.0ms (0.8%)

Memory
22.0MiB live, 213.4MiB allocated; 27ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(exp.f64 im)
accuracy0.0078125
(cos.f64 re)
accuracy0.07421875
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
accuracy31.2232807278925
(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
Samples
38.0ms55×2valid
25.0ms78×1valid
15.0ms123×0valid
Compiler

Compiled 40 to 13 computations (67.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
ival-exp: 28.0ms (48.5% of total)
ival-sub: 11.0ms (19.1% of total)
ival-cos: 8.0ms (13.9% of total)
adjust: 5.0ms (8.7% of total)
ival-mult: 5.0ms (8.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series19.0ms (0.2%)

Memory
-35.3MiB live, 14.8MiB allocated; 20ms collecting garbage
Counts
6 → 31
Calls
Call 1
Inputs
(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
(-.f64 #s(literal 0 binary64) im)
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(cos.f64 re)
(exp.f64 im)
Outputs
(* 1/2 (- (exp (neg im)) (exp im)))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im)))))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im))))))))
1/2
(+ 1/2 (* -1/4 (pow re 2)))
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))
1
(+ 1 (* -1/2 (pow re 2)))
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* 1/2 (cos re))
(cos re)
(* -2 im)
(* im (- (* -1/3 (pow im 2)) 2))
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
(* -1 im)
(* -1 (* im (cos re)))
(* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re)))))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re)))))))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re)))))))))
(+ 1 im)
(+ 1 (* im (+ 1 (* 1/2 im))))
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))
(- (exp (neg im)) (exp im))
(exp im)
(- (exp (* -1 im)) (exp im))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
Calls

6 calls:

TimeVariablePointExpression
13.0ms
im
@0
((- (exp (- 0 im)) (exp im)) (- 0 im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (cos re) (exp im))
1.0ms
im
@inf
((- (exp (- 0 im)) (exp im)) (- 0 im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (cos re) (exp im))
1.0ms
im
@-inf
((- (exp (- 0 im)) (exp im)) (- 0 im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (cos re) (exp im))
1.0ms
re
@inf
((- (exp (- 0 im)) (exp im)) (- 0 im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (cos re) (exp im))
1.0ms
re
@0
((- (exp (- 0 im)) (exp im)) (- 0 im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (cos re) (exp im))

simplify207.0ms (2%)

Memory
19.6MiB live, 249.9MiB allocated; 81ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0126381
1387349
21286341
35237320
08363297
Stop Event
iter limit
node limit
Counts
31 → 31
Calls
Call 1
Inputs
(* 1/2 (- (exp (neg im)) (exp im)))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im)))))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im))))))))
1/2
(+ 1/2 (* -1/4 (pow re 2)))
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))
1
(+ 1 (* -1/2 (pow re 2)))
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* 1/2 (cos re))
(cos re)
(* -2 im)
(* im (- (* -1/3 (pow im 2)) 2))
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
(* -1 im)
(* -1 (* im (cos re)))
(* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re)))))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re)))))))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re)))))))))
(+ 1 im)
(+ 1 (* im (+ 1 (* 1/2 im))))
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))
(- (exp (neg im)) (exp im))
(exp im)
(- (exp (* -1 im)) (exp im))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
Outputs
(* 1/2 (- (exp (neg im)) (exp im)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im)))))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/48 binary64) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im))))))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (pow.f64 re #s(literal 4 binary64)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (pow re 2)))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))
(fma.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/1440 binary64) (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64))) (*.f64 re re) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow re 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))
(fma.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64))) (*.f64 re re) #s(literal 1 binary64))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (cos re))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(cos re)
(cos.f64 re)
(* -2 im)
(*.f64 #s(literal -2 binary64) im)
(* im (- (* -1/3 (pow im 2)) 2))
(*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)
(* -1 im)
(neg.f64 im)
(* -1 (* im (cos re)))
(*.f64 (neg.f64 (cos.f64 re)) im)
(* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re)))))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im)))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re)))))))
(*.f64 (cos.f64 re) (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64)) (neg.f64 im)))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re)))))))))
(*.f64 (*.f64 (cos.f64 re) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal -1/120 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) im)
(+ 1 im)
(+.f64 #s(literal 1 binary64) im)
(+ 1 (* im (+ 1 (* 1/2 im))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) im #s(literal 1 binary64))
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) im #s(literal 1/2 binary64)) im #s(literal 1 binary64)) im #s(literal 1 binary64))
(- (exp (neg im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp im)
(exp.f64 im)
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

rewrite140.0ms (1.3%)

Memory
-4.1MiB live, 188.1MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01130
01827
16427
242025
0500125
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
6 → 176
Calls
Call 1
Inputs
(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
(-.f64 #s(literal 0 binary64) im)
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(cos.f64 re)
(exp.f64 im)
Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64)))) (+.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (-.f64 (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 4 binary64)) (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (neg.f64 im))) (pow.f64 (exp.f64 im) #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (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 #s(literal 0 binary64) (sin.f64 re) (*.f64 #s(literal 1 binary64) (cos.f64 re)))
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(-.f64 (+.f64 (sinh.f64 im) (*.f64 #s(literal 1 binary64) (cosh.f64 im))) #s(literal 0 binary64))
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(-.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)
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(+.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))

eval50.0ms (0.5%)

Memory
2.3MiB live, 48.4MiB allocated; 3ms collecting garbage
Compiler

Compiled 5 110 to 871 computations (83% saved)

prune8.0ms (0.1%)

Memory
22.6MiB live, 22.6MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1987205
Fresh000
Picked101
Done000
Total1997206
Accuracy
99.9%
Counts
206 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(*.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64))
52.1%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))))
90.3%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
86.2%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
80.5%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
38.3%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)))
54.5%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
Compiler

Compiled 334 to 252 computations (24.6% saved)

simplify141.0ms (1.3%)

Memory
7.1MiB live, 186.5MiB allocated; 39ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))
cost-diff0
(cos.f64 re)
cost-diff0
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
cost-diff0
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
cost-diff0
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))
cost-diff0
(cos.f64 re)
cost-diff0
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
cost-diff0
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
cost-diff0
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im))
cost-diff0
(cos.f64 re)
cost-diff0
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
cost-diff0
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
cost-diff0
(cos.f64 re)
cost-diff0
(neg.f64 (cos.f64 re))
cost-diff0
(*.f64 (neg.f64 (cos.f64 re)) im)
cost-diff0
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
cost-diff0
(*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))
cost-diff0
(cos.f64 re)
cost-diff0
(*.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))))
cost-diff4
(*.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
051445
081438
1155436
2334434
3804423
43188423
08230423
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64))
(*.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))))
(cos.f64 re)
re
(*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))
#s(literal 2 binary64)
(sinh.f64 (neg.f64 im))
(neg.f64 im)
im
#s(literal 1/2 binary64)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
(*.f64 (neg.f64 (cos.f64 re)) im)
(neg.f64 (cos.f64 re))
(cos.f64 re)
re
im
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(cos.f64 re)
re
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im))
(*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)
(-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64))
(*.f64 (*.f64 im im) #s(literal -1/3 binary64))
(*.f64 im im)
im
#s(literal -1/3 binary64)
#s(literal 2 binary64)
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(cos.f64 re)
re
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im)
(*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im)
(-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64))
(*.f64 #s(literal -1/60 binary64) (*.f64 im im))
#s(literal -1/60 binary64)
(*.f64 im im)
im
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(cos.f64 re)
re
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)
(-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64))
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im))
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im)
(*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im)
(-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64))
(*.f64 #s(literal -1/2520 binary64) (*.f64 im im))
#s(literal -1/2520 binary64)
(*.f64 im im)
im
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
#s(literal 2 binary64)
Outputs
(*.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64))
(*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re))
(*.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))))
(*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)) (sinh.f64 (neg.f64 im)))
(cos.f64 re)
re
(*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))
(*.f64 (sinh.f64 (neg.f64 im)) #s(literal 2 binary64))
#s(literal 2 binary64)
(sinh.f64 (neg.f64 im))
(neg.f64 im)
im
#s(literal 1/2 binary64)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
(*.f64 (neg.f64 (cos.f64 re)) im)
(neg.f64 (cos.f64 re))
(cos.f64 re)
re
im
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64)) im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(cos.f64 re)
re
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im))
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64)) im))
(*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)
(*.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64)) im)
(-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64))
(-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))
(*.f64 (*.f64 im im) #s(literal -1/3 binary64))
(*.f64 #s(literal -1/3 binary64) (*.f64 im im))
(*.f64 im im)
im
#s(literal -1/3 binary64)
#s(literal 2 binary64)
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(cos.f64 re)
re
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im)
(*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im)
(-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64))
(*.f64 #s(literal -1/60 binary64) (*.f64 im im))
#s(literal -1/60 binary64)
(*.f64 im im)
im
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(cos.f64 re)
re
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)
(-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64))
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64))
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im))
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) im) im)
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im)
(*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im)
(-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64))
(*.f64 #s(literal -1/2520 binary64) (*.f64 im im))
#s(literal -1/2520 binary64)
(*.f64 im im)
im
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
#s(literal 2 binary64)

localize333.0ms (3.2%)

Memory
-1.5MiB live, 581.8MiB allocated; 76ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.12890625
(*.f64 #s(literal -1/2520 binary64) (*.f64 im im))
accuracy0.14453125
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im)
accuracy0.1484375
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im))
accuracy6.145634124667164
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))
accuracy0.109375
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im)
accuracy0.14453125
(*.f64 #s(literal -1/60 binary64) (*.f64 im im))
accuracy0.23046875
(*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im)
accuracy8.74708423663583
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))
accuracy0.07421875
(*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)
accuracy0.07421875
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
accuracy0.203125
(*.f64 (*.f64 im im) #s(literal -1/3 binary64))
accuracy12.39663468787862
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im))
accuracy0.0
(neg.f64 (cos.f64 re))
accuracy0.0078125
(cos.f64 re)
accuracy0.14453125
(*.f64 (neg.f64 (cos.f64 re)) im)
accuracy29.0564214244349
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
accuracy0.0
(neg.f64 im)
accuracy0.00390625
(sinh.f64 (neg.f64 im))
accuracy0.0078125
(cos.f64 re)
accuracy0.07421875
(*.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))))
Samples
141.0ms78×1valid
85.0ms55×2valid
50.0ms123×0valid
Compiler

Compiled 345 to 44 computations (87.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 169.0ms
ival-sub: 42.0ms (24.9% of total)
ival-mult: 39.0ms (23.1% of total)
adjust: 32.0ms (18.9% of total)
ival-exp: 24.0ms (14.2% of total)
const: 19.0ms (11.2% of total)
ival-cos: 6.0ms (3.6% of total)
ival-sinh: 4.0ms (2.4% of total)
ival-neg: 2.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series34.0ms (0.3%)

Memory
1.5MiB live, 97.0MiB allocated; 13ms collecting garbage
Counts
24 → 75
Calls
Call 1
Inputs
(*.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64))
(*.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))))
(cos.f64 re)
(*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
(*.f64 (neg.f64 (cos.f64 re)) im)
(neg.f64 (cos.f64 re))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))
(sinh.f64 (neg.f64 im))
(neg.f64 im)
(*.f64 (*.f64 im im) #s(literal -1/3 binary64))
(*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)
(*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im)
(*.f64 #s(literal -1/60 binary64) (*.f64 im im))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im)
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im)
(*.f64 #s(literal -1/2520 binary64) (*.f64 im im))
Outputs
(* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im)))))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))))
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))))))
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/48 (- (exp (neg im)) (/ 1 (exp (neg im))))))))))
(- (exp (neg im)) (/ 1 (exp (neg im))))
(- (+ (exp (neg im)) (* -1/2 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))) (/ 1 (exp (neg im))))
(- (+ (exp (neg im)) (* (pow re 2) (+ (* -1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/24 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))))) (/ 1 (exp (neg im))))
(- (+ (exp (neg im)) (* (pow re 2) (+ (* -1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/720 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/24 (- (exp (neg im)) (/ 1 (exp (neg im)))))))))) (/ 1 (exp (neg im))))
1
(+ 1 (* -1/2 (pow re 2)))
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))
(* 1/2 (- (exp (neg im)) (exp im)))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im)))))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im))))))))
(* -1 im)
(+ (* -1 im) (* 1/2 (* im (pow re 2))))
(+ (* -1 im) (* (pow re 2) (+ (* -1/24 (* im (pow re 2))) (* 1/2 im))))
(+ (* -1 im) (* (pow re 2) (+ (* 1/2 im) (* (pow re 2) (+ (* -1/24 im) (* 1/720 (* im (pow re 2))))))))
-1
(- (* 1/2 (pow re 2)) 1)
(- (* (pow re 2) (+ 1/2 (* -1/24 (pow re 2)))) 1)
(- (* (pow re 2) (+ 1/2 (* (pow re 2) (- (* 1/720 (pow re 2)) 1/24)))) 1)
1/2
(+ 1/2 (* -1/4 (pow re 2)))
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))
(* 1/2 (* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im))))))
(* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im)))))
(cos re)
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* -1 (* im (cos re)))
(* -1 (cos re))
(* 1/2 (cos re))
(* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re)))))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re)))))))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re)))))))))
(* -2 (* im (cos re)))
(* im (+ (* -2 (cos re)) (* -1/3 (* (pow im 2) (cos re)))))
(* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -1/3 (cos re)) (* -1/60 (* (pow im 2) (cos re)))))))
(* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -1/3 (cos re)) (* (pow im 2) (+ (* -1/60 (cos re)) (* -1/2520 (* (pow im 2) (cos re)))))))))
(* -2 im)
(* im (- (* -1/3 (pow im 2)) 2))
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
(* im (- (* -1/6 (pow im 2)) 1))
(* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) 1/6)) 1))
(* -1/3 (pow im 2))
(* -1/3 im)
(* im (- (* -1/60 (pow im 2)) 1/3))
(* -1/60 (pow im 2))
(* (pow im 2) (- (* -1/60 (pow im 2)) 1/3))
(* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3))
(* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60))
(* -1/2520 (pow im 2))
(- (exp (neg im)) (exp im))
(* -1/3 (pow im 3))
(* -1 (* (pow im 3) (+ 1/3 (* 2 (/ 1 (pow im 2))))))
(* -1/60 (pow im 3))
(* -1 (* (pow im 3) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(* -1/60 (pow im 4))
(* -1 (* (pow im 4) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(* -1/2520 (pow im 6))
(* -1 (* (pow im 6) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* (pow im 6) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(* -1/2520 (pow im 4))
(* -1 (* (pow im 4) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))))
(* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))
(- (exp (* -1 im)) (/ 1 (exp (* -1 im))))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(- (exp (* -1 im)) (exp im))
(* 1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))
Calls

6 calls:

TimeVariablePointExpression
13.0ms
im
@inf
((* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) (* 2 (sinh (neg im)))) (cos re) (* 2 (sinh (neg im))) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (cos re)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (- (exp (- 0 im)) (exp im)) (sinh (neg im)) (neg im) (* (* im im) -1/3) (* (- (* (* im im) -1/3) 2) im) (* (- (* -1/60 (* im im)) 1/3) im) (* -1/60 (* im im)) (* (* (- (* -1/60 (* im im)) 1/3) im) im) (* (- (* (* (- (* -1/2520 (* im im)) 1/60) im) im) 1/3) (* im im)) (* (* (- (* -1/2520 (* im im)) 1/60) im) im) (* -1/2520 (* im im)))
6.0ms
re
@0
((* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) (* 2 (sinh (neg im)))) (cos re) (* 2 (sinh (neg im))) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (cos re)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (- (exp (- 0 im)) (exp im)) (sinh (neg im)) (neg im) (* (* im im) -1/3) (* (- (* (* im im) -1/3) 2) im) (* (- (* -1/60 (* im im)) 1/3) im) (* -1/60 (* im im)) (* (* (- (* -1/60 (* im im)) 1/3) im) im) (* (- (* (* (- (* -1/2520 (* im im)) 1/60) im) im) 1/3) (* im im)) (* (* (- (* -1/2520 (* im im)) 1/60) im) im) (* -1/2520 (* im im)))
5.0ms
im
@-inf
((* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) (* 2 (sinh (neg im)))) (cos re) (* 2 (sinh (neg im))) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (cos re)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (- (exp (- 0 im)) (exp im)) (sinh (neg im)) (neg im) (* (* im im) -1/3) (* (- (* (* im im) -1/3) 2) im) (* (- (* -1/60 (* im im)) 1/3) im) (* -1/60 (* im im)) (* (* (- (* -1/60 (* im im)) 1/3) im) im) (* (- (* (* (- (* -1/2520 (* im im)) 1/60) im) im) 1/3) (* im im)) (* (* (- (* -1/2520 (* im im)) 1/60) im) im) (* -1/2520 (* im im)))
4.0ms
im
@0
((* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) (* 2 (sinh (neg im)))) (cos re) (* 2 (sinh (neg im))) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (cos re)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (- (exp (- 0 im)) (exp im)) (sinh (neg im)) (neg im) (* (* im im) -1/3) (* (- (* (* im im) -1/3) 2) im) (* (- (* -1/60 (* im im)) 1/3) im) (* -1/60 (* im im)) (* (* (- (* -1/60 (* im im)) 1/3) im) im) (* (- (* (* (- (* -1/2520 (* im im)) 1/60) im) im) 1/3) (* im im)) (* (* (- (* -1/2520 (* im im)) 1/60) im) im) (* -1/2520 (* im im)))
3.0ms
re
@inf
((* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) (* 2 (sinh (neg im)))) (cos re) (* 2 (sinh (neg im))) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (cos re)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (- (exp (- 0 im)) (exp im)) (sinh (neg im)) (neg im) (* (* im im) -1/3) (* (- (* (* im im) -1/3) 2) im) (* (- (* -1/60 (* im im)) 1/3) im) (* -1/60 (* im im)) (* (* (- (* -1/60 (* im im)) 1/3) im) im) (* (- (* (* (- (* -1/2520 (* im im)) 1/60) im) im) 1/3) (* im im)) (* (* (- (* -1/2520 (* im im)) 1/60) im) im) (* -1/2520 (* im im)))

simplify148.0ms (1.4%)

Memory
-21.3MiB live, 212.6MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02561089
1822927
23185893
37528893
08020849
Stop Event
iter limit
node limit
Counts
75 → 75
Calls
Call 1
Inputs
(* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im)))))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))))
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))))))
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/48 (- (exp (neg im)) (/ 1 (exp (neg im))))))))))
(- (exp (neg im)) (/ 1 (exp (neg im))))
(- (+ (exp (neg im)) (* -1/2 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))) (/ 1 (exp (neg im))))
(- (+ (exp (neg im)) (* (pow re 2) (+ (* -1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/24 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))))) (/ 1 (exp (neg im))))
(- (+ (exp (neg im)) (* (pow re 2) (+ (* -1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/720 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/24 (- (exp (neg im)) (/ 1 (exp (neg im)))))))))) (/ 1 (exp (neg im))))
1
(+ 1 (* -1/2 (pow re 2)))
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))
(* 1/2 (- (exp (neg im)) (exp im)))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im)))))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im))))))))
(* -1 im)
(+ (* -1 im) (* 1/2 (* im (pow re 2))))
(+ (* -1 im) (* (pow re 2) (+ (* -1/24 (* im (pow re 2))) (* 1/2 im))))
(+ (* -1 im) (* (pow re 2) (+ (* 1/2 im) (* (pow re 2) (+ (* -1/24 im) (* 1/720 (* im (pow re 2))))))))
-1
(- (* 1/2 (pow re 2)) 1)
(- (* (pow re 2) (+ 1/2 (* -1/24 (pow re 2)))) 1)
(- (* (pow re 2) (+ 1/2 (* (pow re 2) (- (* 1/720 (pow re 2)) 1/24)))) 1)
1/2
(+ 1/2 (* -1/4 (pow re 2)))
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))
(* 1/2 (* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im))))))
(* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im)))))
(cos re)
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* -1 (* im (cos re)))
(* -1 (cos re))
(* 1/2 (cos re))
(* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re)))))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re)))))))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re)))))))))
(* -2 (* im (cos re)))
(* im (+ (* -2 (cos re)) (* -1/3 (* (pow im 2) (cos re)))))
(* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -1/3 (cos re)) (* -1/60 (* (pow im 2) (cos re)))))))
(* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -1/3 (cos re)) (* (pow im 2) (+ (* -1/60 (cos re)) (* -1/2520 (* (pow im 2) (cos re)))))))))
(* -2 im)
(* im (- (* -1/3 (pow im 2)) 2))
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
(* im (- (* -1/6 (pow im 2)) 1))
(* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) 1/6)) 1))
(* -1/3 (pow im 2))
(* -1/3 im)
(* im (- (* -1/60 (pow im 2)) 1/3))
(* -1/60 (pow im 2))
(* (pow im 2) (- (* -1/60 (pow im 2)) 1/3))
(* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3))
(* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60))
(* -1/2520 (pow im 2))
(- (exp (neg im)) (exp im))
(* -1/3 (pow im 3))
(* -1 (* (pow im 3) (+ 1/3 (* 2 (/ 1 (pow im 2))))))
(* -1/60 (pow im 3))
(* -1 (* (pow im 3) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(* -1/60 (pow im 4))
(* -1 (* (pow im 4) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(* -1/2520 (pow im 6))
(* -1 (* (pow im 6) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* (pow im 6) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(* -1/2520 (pow im 4))
(* -1 (* (pow im 4) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))))
(* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))
(- (exp (* -1 im)) (/ 1 (exp (* -1 im))))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(- (exp (* -1 im)) (exp im))
(* 1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))
Outputs
(* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im)))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64))) (*.f64 re re) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/48 (- (exp (neg im)) (/ 1 (exp (neg im))))))))))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
(- (exp (neg im)) (/ 1 (exp (neg im))))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(- (+ (exp (neg im)) (* -1/2 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))) (/ 1 (exp (neg im))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(- (+ (exp (neg im)) (* (pow re 2) (+ (* -1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/24 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))))) (/ 1 (exp (neg im))))
(fma.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64))) (*.f64 re re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(- (+ (exp (neg im)) (* (pow re 2) (+ (* -1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/720 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/24 (- (exp (neg im)) (/ 1 (exp (neg im)))))))))) (/ 1 (exp (neg im))))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow re 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))
(fma.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64))) (*.f64 re re) #s(literal 1 binary64))
(* 1/2 (- (exp (neg im)) (exp im)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im)))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64))) (*.f64 re re) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im))))))))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
(* -1 im)
(neg.f64 im)
(+ (* -1 im) (* 1/2 (* im (pow re 2))))
(*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))
(+ (* -1 im) (* (pow re 2) (+ (* -1/24 (* im (pow re 2))) (* 1/2 im))))
(fma.f64 (*.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im))
(+ (* -1 im) (* (pow re 2) (+ (* 1/2 im) (* (pow re 2) (+ (* -1/24 im) (* 1/720 (* im (pow re 2))))))))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 im (fma.f64 (*.f64 #s(literal 1/720 binary64) re) re #s(literal -1/24 binary64))) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))
-1
#s(literal -1 binary64)
(- (* 1/2 (pow re 2)) 1)
(-.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(- (* (pow re 2) (+ 1/2 (* -1/24 (pow re 2)))) 1)
(fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/24 binary64) (-.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(- (* (pow re 2) (+ 1/2 (* (pow re 2) (- (* 1/720 (pow re 2)) 1/24)))) 1)
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 re re)) #s(literal 1/24 binary64)) (-.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (pow re 2)))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))
(fma.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/1440 binary64) (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64))) (*.f64 re re) #s(literal 1/2 binary64))
(* 1/2 (* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im))))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im)))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re))
(cos re)
(cos.f64 re)
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(* -1 (* im (cos re)))
(*.f64 (neg.f64 (cos.f64 re)) im)
(* -1 (cos re))
(neg.f64 (cos.f64 re))
(* 1/2 (cos re))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re)))))
(*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re)))))))
(*.f64 (fma.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64))) (*.f64 im im) (neg.f64 (cos.f64 re))) im)
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re)))))))))
(*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal -1/120 binary64))) (*.f64 (cos.f64 re) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) im)
(* -2 (* im (cos re)))
(*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) im)
(* im (+ (* -2 (cos re)) (* -1/3 (* (pow im 2) (cos re)))))
(*.f64 (*.f64 (cos.f64 re) (fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64))) im)
(* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -1/3 (cos re)) (* -1/60 (* (pow im 2) (cos re)))))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) im))
(* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -1/3 (cos re)) (* (pow im 2) (+ (* -1/60 (cos re)) (* -1/2520 (* (pow im 2) (cos re)))))))))
(*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) (*.f64 (cos.f64 re) (fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64)))) im)
(* -2 im)
(*.f64 #s(literal -2 binary64) im)
(* im (- (* -1/3 (pow im 2)) 2))
(*.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64)) im)
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)
(* im (- (* -1/6 (pow im 2)) 1))
(*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)
(* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) 1/6)) 1))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im)
(* -1/3 (pow im 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 im im))
(* -1/3 im)
(*.f64 #s(literal -1/3 binary64) im)
(* im (- (* -1/60 (pow im 2)) 1/3))
(*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im)
(* -1/60 (pow im 2))
(*.f64 #s(literal -1/60 binary64) (*.f64 im im))
(* (pow im 2) (- (* -1/60 (pow im 2)) 1/3))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im)
(* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3))
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im))
(* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im)
(* -1/2520 (pow im 2))
(*.f64 #s(literal -1/2520 binary64) (*.f64 im im))
(- (exp (neg im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* -1/3 (pow im 3))
(*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/3 binary64))
(* -1 (* (pow im 3) (+ 1/3 (* 2 (/ 1 (pow im 2))))))
(*.f64 (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 im im)) #s(literal -1/3 binary64)) (pow.f64 im #s(literal 3 binary64)))
(* -1/60 (pow im 3))
(*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/60 binary64))
(* -1 (* (pow im 3) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(*.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal -1/60 binary64)) (pow.f64 im #s(literal 3 binary64)))
(* -1/60 (pow im 4))
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/60 binary64))
(* -1 (* (pow im 4) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(*.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal -1/60 binary64)) (pow.f64 im #s(literal 4 binary64)))
(* -1/2520 (pow im 6))
(*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/2520 binary64))
(* -1 (* (pow im 6) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(*.f64 (+.f64 (/.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal -1/2520 binary64)) (pow.f64 im #s(literal 6 binary64)))
(* (pow im 6) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(*.f64 (+.f64 (/.f64 #s(literal -1/60 binary64) (*.f64 im im)) (-.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/2520 binary64))) (pow.f64 im #s(literal 6 binary64)))
(* -1/2520 (pow im 4))
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/2520 binary64))
(* -1 (* (pow im 4) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(*.f64 (+.f64 (/.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal -1/2520 binary64)) (pow.f64 im #s(literal 4 binary64)))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re))
(- (exp (* -1 im)) (/ 1 (exp (* -1 im))))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* 1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))

rewrite183.0ms (1.7%)

Memory
6.8MiB live, 286.7MiB allocated; 46ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
051285
081278
1254263
21544263
08292263
Stop Event
iter limit
node limit
iter limit
Counts
24 → 314
Calls
Call 1
Inputs
(*.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64))
(*.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))))
(cos.f64 re)
(*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
(*.f64 (neg.f64 (cos.f64 re)) im)
(neg.f64 (cos.f64 re))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))
(sinh.f64 (neg.f64 im))
(neg.f64 im)
(*.f64 (*.f64 im im) #s(literal -1/3 binary64))
(*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)
(*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im)
(*.f64 #s(literal -1/60 binary64) (*.f64 im im))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im)
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im)
(*.f64 #s(literal -1/2520 binary64) (*.f64 im im))
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cos.f64 re))) (sinh.f64 (neg.f64 im)))
(*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)) (*.f64 (sinh.f64 (neg.f64 im)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)) (sinh.f64 (neg.f64 im))))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)) (sinh.f64 (neg.f64 im))) #s(literal 1/2 binary64))
(*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re))
(*.f64 (cos.f64 re) (sinh.f64 (neg.f64 im)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))) (neg.f64 (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 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (exp.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (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 #s(literal 1/2 binary64) (cos.f64 re)) (-.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 #s(literal 1/2 binary64) (cos.f64 re)) (-.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 (sinh.f64 (neg.f64 im)) (cos.f64 re)) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)) (sinh.f64 (neg.f64 im)))
(*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))) (cos.f64 re))
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(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re)))
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(/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/27 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 8 binary64)) im) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (*.f64 im im) #s(literal -2/3 binary64) #s(literal 4 binary64))))
(/.f64 (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64)) #s(literal 4 binary64))) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal 2 binary64)))
(/.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/27 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 8 binary64))) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (*.f64 im im) #s(literal -2/3 binary64) #s(literal 4 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im)
(*.f64 im (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64)) #s(literal 1/9 binary64)) im)) (neg.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/216000 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/27 binary64)) im)) (neg.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64) (fma.f64 (*.f64 im im) #s(literal -1/180 binary64) #s(literal 1/9 binary64)))))
(/.f64 (neg.f64 (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64)) #s(literal 1/9 binary64)))) (neg.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/216000 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/27 binary64)))) (neg.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64) (fma.f64 (*.f64 im im) #s(literal -1/180 binary64) #s(literal 1/9 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64)) #s(literal 1/9 binary64)) im) (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal 1/3 binary64)))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/216000 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/27 binary64)) im) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64) (fma.f64 (*.f64 im im) #s(literal -1/180 binary64) #s(literal 1/9 binary64))))
(/.f64 (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64)) #s(literal 1/9 binary64))) (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal 1/3 binary64)))
(/.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/216000 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/27 binary64))) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64) (fma.f64 (*.f64 im im) #s(literal -1/180 binary64) #s(literal 1/9 binary64))))
(*.f64 (*.f64 #s(literal -1/60 binary64) (neg.f64 im)) (neg.f64 im))
(*.f64 (*.f64 #s(literal -1/60 binary64) im) im)
(*.f64 #s(literal -1/60 binary64) (*.f64 im im))
(*.f64 (*.f64 im im) #s(literal -1/60 binary64))
(*.f64 (neg.f64 im) (*.f64 (neg.f64 im) #s(literal -1/60 binary64)))
(*.f64 im (*.f64 #s(literal -1/60 binary64) im))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) (neg.f64 im)) (neg.f64 im))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im)
(*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) (*.f64 im im))
(*.f64 (*.f64 im im) (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)))
(*.f64 im (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64)) #s(literal 1/9 binary64)) (*.f64 im im))) (neg.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/216000 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/27 binary64)) (*.f64 im im))) (neg.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64) (fma.f64 (*.f64 im im) #s(literal -1/180 binary64) #s(literal 1/9 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64)) #s(literal 1/9 binary64)) (*.f64 im im)) (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal 1/3 binary64)))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/216000 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/27 binary64)) (*.f64 im im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64) (fma.f64 (*.f64 im im) #s(literal -1/180 binary64) #s(literal 1/9 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (neg.f64 im)) (neg.f64 im))
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) im) im)
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im))
(*.f64 (*.f64 im im) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)))
(*.f64 (neg.f64 im) (*.f64 (neg.f64 im) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64))))
(*.f64 im (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) im))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (*.f64 im im))) (neg.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 3 binary64)) #s(literal 1/27 binary64)) (*.f64 im im))) (neg.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64) #s(literal 1/9 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 im im) (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 2 binary64)) #s(literal 1/9 binary64)))) (neg.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 im im) (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (neg.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64) #s(literal 1/9 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (*.f64 im im)) (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im #s(literal 1/3 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 3 binary64)) #s(literal 1/27 binary64)) (*.f64 im im)) (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64) #s(literal 1/9 binary64))))
(/.f64 (*.f64 (*.f64 im im) (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 2 binary64)) #s(literal 1/9 binary64))) (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im #s(literal 1/3 binary64)))
(/.f64 (*.f64 (*.f64 im im) (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 3 binary64)) #s(literal 1/27 binary64))) (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64) #s(literal 1/9 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) (neg.f64 im)) (neg.f64 im))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im)
(*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) (*.f64 im im))
(*.f64 (*.f64 im im) (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)))
(*.f64 im (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/3600 binary64)) (*.f64 im im))) (neg.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal 1/60 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/16003008000 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/216000 binary64)) (*.f64 im im))) (neg.f64 (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/151200 binary64) #s(literal 1/3600 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/3600 binary64)) (*.f64 im im)) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal 1/60 binary64)))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/16003008000 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/216000 binary64)) (*.f64 im im)) (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/151200 binary64) #s(literal 1/3600 binary64))))
(*.f64 (*.f64 #s(literal -1/2520 binary64) (neg.f64 im)) (neg.f64 im))
(*.f64 (*.f64 #s(literal -1/2520 binary64) im) im)
(*.f64 #s(literal -1/2520 binary64) (*.f64 im im))
(*.f64 (*.f64 im im) #s(literal -1/2520 binary64))
(*.f64 (neg.f64 im) (*.f64 (neg.f64 im) #s(literal -1/2520 binary64)))
(*.f64 im (*.f64 #s(literal -1/2520 binary64) im))

eval66.0ms (0.6%)

Memory
31.1MiB live, 130.4MiB allocated; 24ms collecting garbage
Compiler

Compiled 14 491 to 2 027 computations (86% saved)

prune28.0ms (0.3%)

Memory
-31.6MiB live, 59.2MiB allocated; 12ms collecting garbage
Pruning

20 alts after pruning (18 fresh and 2 done)

PrunedKeptTotal
New46217479
Fresh112
Picked325
Done000
Total46620486
Accuracy
100.0%
Counts
486 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
17.7%
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re)) (*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re)) (-.f64 (*.f64 (*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re)) (*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re))) (*.f64 (*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re)) (*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re)))))) #s(literal 1/2 binary64))
63.0%
(*.f64 (*.f64 #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64))
63.6%
(*.f64 (*.f64 #s(approx (cos re) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64))
52.1%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))))
86.2%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
55.8%
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
53.9%
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
51.3%
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
57.5%
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
55.3%
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
52.3%
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
57.0%
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
54.4%
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
49.9%
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
80.5%
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
54.4%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 re) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 re) #s(literal -1 binary64)) (*.f64 (cos.f64 re) #s(literal -1 binary64)) (fma.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (*.f64 (cos.f64 re) #s(literal -1 binary64)) (*.f64 (sin.f64 re) #s(literal 0 binary64)))))) im))
54.5%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
36.5%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im))))
37.1%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))
30.3%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
Compiler

Compiled 1 246 to 845 computations (32.2% saved)

simplify122.0ms (1.2%)

Memory
28.9MiB live, 217.5MiB allocated; 24ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))
cost-diff0
#s(approx (cos re) #s(literal 1 binary64))
cost-diff0
(*.f64 #s(approx (cos re) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))))
cost-diff4
(*.f64 (*.f64 #s(approx (cos re) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64))
cost-diff0
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)
cost-diff0
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))
cost-diff0
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
cost-diff0
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
cost-diff0
(*.f64 re re)
cost-diff0
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
cost-diff0
#s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
cost-diff0
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
cost-diff0
(neg.f64 im)
cost-diff0
#s(approx (* (neg (cos re)) im) (neg.f64 im))
cost-diff0
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
cost-diff0
(cos.f64 re)
cost-diff0
(*.f64 (cos.f64 re) im)
cost-diff0
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
cost-diff1
(*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
060402
088397
1173393
2432389
31325378
45078378
08038378
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))
(*.f64 (cos.f64 re) im)
(cos.f64 re)
re
im
(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))
(*.f64 im im)
#s(literal -1/6 binary64)
#s(literal -1 binary64)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (neg (cos re)) im) (neg.f64 im))
(neg.f64 im)
im
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
#s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(*.f64 re re)
re
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im))
(*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)
(-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64))
(*.f64 (*.f64 im im) #s(literal -1/3 binary64))
(*.f64 im im)
im
#s(literal -1/3 binary64)
#s(literal 2 binary64)
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)
(-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64))
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im))
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im)
(*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im)
(-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64))
(*.f64 #s(literal -1/2520 binary64) (*.f64 im im))
#s(literal -1/2520 binary64)
(*.f64 im im)
im
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(*.f64 (*.f64 #s(approx (cos re) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64))
(*.f64 #s(approx (cos re) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))))
#s(approx (cos re) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))
#s(literal 2 binary64)
(sinh.f64 (neg.f64 im))
(neg.f64 im)
im
#s(literal 1/2 binary64)
Outputs
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im)) (cos.f64 re)))
(*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im)) (cos.f64 re))
(*.f64 (cos.f64 re) im)
(*.f64 im (cos.f64 re))
(cos.f64 re)
re
im
(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal -1 binary64))
(*.f64 im im)
#s(literal -1/6 binary64)
#s(literal -1 binary64)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (neg (cos re)) im) (neg.f64 im))
(neg.f64 im)
im
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64)) im)) #s(approx (* 1/2 (cos re)) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos re)) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64))
(*.f64 re re)
re
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im))
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64)) im))
(*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)
(*.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64)) im)
(-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64))
(-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))
(*.f64 (*.f64 im im) #s(literal -1/3 binary64))
(*.f64 #s(literal -1/3 binary64) (*.f64 im im))
(*.f64 im im)
im
#s(literal -1/3 binary64)
#s(literal 2 binary64)
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)
(-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64))
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64))
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im))
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) im) im)
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im)
(*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im)
(-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64))
(*.f64 #s(literal -1/2520 binary64) (*.f64 im im))
#s(literal -1/2520 binary64)
(*.f64 im im)
im
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(*.f64 (*.f64 #s(approx (cos re) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64))
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) #s(literal 1 binary64)))
(*.f64 #s(approx (cos re) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))))
(*.f64 (*.f64 #s(approx (cos re) #s(literal 1 binary64)) #s(literal 2 binary64)) (sinh.f64 (neg.f64 im)))
#s(approx (cos re) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))
(*.f64 (sinh.f64 (neg.f64 im)) #s(literal 2 binary64))
#s(literal 2 binary64)
(sinh.f64 (neg.f64 im))
(neg.f64 im)
im
#s(literal 1/2 binary64)

localize314.0ms (3%)

Memory
-20.6MiB live, 315.8MiB allocated; 99ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(neg.f64 im)
accuracy0.00390625
(sinh.f64 (neg.f64 im))
accuracy0.07421875
(*.f64 #s(approx (cos re) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))))
accuracy28.962849102036817
#s(approx (cos re) #s(literal 1 binary64))
accuracy0.14453125
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im)
accuracy0.1484375
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im))
accuracy6.145634124667164
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))
accuracy28.962479667623967
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
accuracy0.07421875
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
accuracy0.203125
(*.f64 (*.f64 im im) #s(literal -1/3 binary64))
accuracy12.39663468787862
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im))
accuracy31.328337512351332
#s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
accuracy0.0
(neg.f64 im)
accuracy28.771636652204055
#s(approx (* (neg (cos re)) im) (neg.f64 im))
accuracy29.0564214244349
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
accuracy0.078125
(*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))
accuracy0.09765625
(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))
accuracy0.14453125
(*.f64 (cos.f64 re) im)
accuracy12.39788233159005
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
Samples
106.0ms55×2valid
85.0ms123×0valid
76.0ms78×1valid
Compiler

Compiled 295 to 48 computations (83.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 181.0ms
ival-mult: 83.0ms (45.8% of total)
const: 29.0ms (16% of total)
adjust: 23.0ms (12.7% of total)
ival-exp: 23.0ms (12.7% of total)
ival-sub: 10.0ms (5.5% of total)
ival-cos: 6.0ms (3.3% of total)
ival-add: 3.0ms (1.7% of total)
ival-neg: 2.0ms (1.1% of total)
ival-sinh: 2.0ms (1.1% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series22.0ms (0.2%)

Memory
25.6MiB live, 25.6MiB allocated; 0ms collecting garbage
Counts
25 → 86
Calls
Call 1
Inputs
(*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(*.f64 (cos.f64 re) im)
(cos.f64 re)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (neg (cos re)) im) (neg.f64 im))
(neg.f64 im)
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
#s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(*.f64 re re)
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)
(*.f64 (*.f64 #s(approx (cos re) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64))
(*.f64 #s(approx (cos re) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))))
#s(approx (cos re) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))
(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im))
(*.f64 (*.f64 im im) #s(literal -1/3 binary64))
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im)
(sinh.f64 (neg.f64 im))
Outputs
(* im (- (* -1/6 (pow im 2)) 1))
(+ (* -1/2 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))) (* im (- (* -1/6 (pow im 2)) 1)))
(+ (* im (- (* -1/6 (pow im 2)) 1)) (* (pow re 2) (+ (* -1/2 (* im (- (* -1/6 (pow im 2)) 1))) (* 1/24 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))))))
(+ (* im (- (* -1/6 (pow im 2)) 1)) (* (pow re 2) (+ (* -1/2 (* im (- (* -1/6 (pow im 2)) 1))) (* (pow re 2) (+ (* -1/720 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))) (* 1/24 (* im (- (* -1/6 (pow im 2)) 1))))))))
(* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im)))))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))))
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))))))
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/48 (- (exp (neg im)) (/ 1 (exp (neg im))))))))))
im
(+ im (* -1/2 (* im (pow re 2))))
(+ im (* (pow re 2) (+ (* -1/2 im) (* 1/24 (* im (pow re 2))))))
(+ im (* (pow re 2) (+ (* -1/2 im) (* (pow re 2) (+ (* -1/720 (* im (pow re 2))) (* 1/24 im))))))
1
(+ 1 (* -1/2 (pow re 2)))
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))
(* 1/2 (- (exp (neg im)) (exp im)))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im)))))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im))))))))
(* -1 im)
(+ (* -1 im) (* 1/2 (* im (pow re 2))))
(+ (* -1 im) (* (pow re 2) (+ (* -1/24 (* im (pow re 2))) (* 1/2 im))))
(+ (* -1 im) (* (pow re 2) (+ (* 1/2 im) (* (pow re 2) (+ (* -1/24 im) (* 1/720 (* im (pow re 2))))))))
1/2
(+ 1/2 (* -1/4 (pow re 2)))
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))
(pow re 2)
(- (exp (neg im)) (/ 1 (exp (neg im))))
(- (+ (exp (neg im)) (* -1/2 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))) (/ 1 (exp (neg im))))
(- (+ (exp (neg im)) (* (pow re 2) (+ (* -1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/24 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))))) (/ 1 (exp (neg im))))
(- (+ (exp (neg im)) (* (pow re 2) (+ (* -1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/720 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/24 (- (exp (neg im)) (/ 1 (exp (neg im)))))))))) (/ 1 (exp (neg im))))
(* im (* (cos re) (- (* -1/6 (pow im 2)) 1)))
(* 1/2 (* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im))))))
(* im (cos re))
(cos re)
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* -1 (* im (cos re)))
(* 1/2 (cos re))
(* -1/4 (pow re 2))
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/4))
(* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im)))))
(* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re)))))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re)))))))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re)))))))))
(* -2 im)
(* im (- (* -1/3 (pow im 2)) 2))
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
(* -2 (* im (cos re)))
(* im (+ (* -2 (cos re)) (* -1/3 (* (pow im 2) (cos re)))))
(* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -1/3 (cos re)) (* -1/60 (* (pow im 2) (cos re)))))))
(* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -1/3 (cos re)) (* (pow im 2) (+ (* -1/60 (cos re)) (* -1/2520 (* (pow im 2) (cos re)))))))))
-1
(- (* -1/6 (pow im 2)) 1)
(* -1/3 (pow im 2))
(* (pow im 2) (- (* -1/60 (pow im 2)) 1/3))
(* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3))
(* -1/60 (pow im 2))
(* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60))
(* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) 1/6)) 1))
(* -1/6 (* (pow im 3) (cos re)))
(* (pow im 3) (+ (* -1 (/ (cos re) (pow im 2))) (* -1/6 (cos re))))
(- (exp (neg im)) (exp im))
(* -1/2520 (pow im 7))
(* -1 (* (pow im 7) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* (pow im 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(* (pow im 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow im 2)))) (pow im 4))) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* -1/6 (pow im 2))
(* -1 (* (pow im 2) (+ 1/6 (/ 1 (pow im 2)))))
(* -1/2520 (pow im 6))
(* -1 (* (pow im 6) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* (pow im 6) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(* -1/2520 (pow im 4))
(* -1 (* (pow im 4) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* -1 (* (pow im 3) (+ (* 1/6 (cos re)) (/ (cos re) (pow im 2)))))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(- (exp (* -1 im)) (exp im))
(* -1 (* (pow im 7) (+ 1/2520 (+ (/ 1/3 (pow im 4)) (* 1/60 (/ 1 (pow im 2)))))))
(* -1 (* (pow im 7) (+ 1/2520 (+ (/ 1/3 (pow im 4)) (+ (* 1/60 (/ 1 (pow im 2))) (* 2 (/ 1 (pow im 6))))))))
(* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))
(- (exp (* -1 im)) (/ 1 (exp (* -1 im))))
(* 1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))
Calls

6 calls:

TimeVariablePointExpression
5.0ms
im
@inf
((* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) im) (cos re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (- (* (- (* (* (- (* -1/2520 (* im im)) 1/60) im) im) 1/3) (* im im)) 2) im) (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) (* 2 (sinh (neg im)))) (cos re) (* 2 (sinh (neg im))) (+ (* (* im im) -1/6) -1) (- (exp (- 0 im)) (exp im)) (* (* im im) -1/3) (* (- (* (* (- (* -1/2520 (* im im)) 1/60) im) im) 1/3) (* im im)) (* (* (- (* -1/2520 (* im im)) 1/60) im) im) (sinh (neg im)))
4.0ms
im
@-inf
((* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) im) (cos re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (- (* (- (* (* (- (* -1/2520 (* im im)) 1/60) im) im) 1/3) (* im im)) 2) im) (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) (* 2 (sinh (neg im)))) (cos re) (* 2 (sinh (neg im))) (+ (* (* im im) -1/6) -1) (- (exp (- 0 im)) (exp im)) (* (* im im) -1/3) (* (- (* (* (- (* -1/2520 (* im im)) 1/60) im) im) 1/3) (* im im)) (* (* (- (* -1/2520 (* im im)) 1/60) im) im) (sinh (neg im)))
4.0ms
re
@inf
((* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) im) (cos re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (- (* (- (* (* (- (* -1/2520 (* im im)) 1/60) im) im) 1/3) (* im im)) 2) im) (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) (* 2 (sinh (neg im)))) (cos re) (* 2 (sinh (neg im))) (+ (* (* im im) -1/6) -1) (- (exp (- 0 im)) (exp im)) (* (* im im) -1/3) (* (- (* (* (- (* -1/2520 (* im im)) 1/60) im) im) 1/3) (* im im)) (* (* (- (* -1/2520 (* im im)) 1/60) im) im) (sinh (neg im)))
3.0ms
re
@-inf
((* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) im) (cos re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (- (* (- (* (* (- (* -1/2520 (* im im)) 1/60) im) im) 1/3) (* im im)) 2) im) (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) (* 2 (sinh (neg im)))) (cos re) (* 2 (sinh (neg im))) (+ (* (* im im) -1/6) -1) (- (exp (- 0 im)) (exp im)) (* (* im im) -1/3) (* (- (* (* (- (* -1/2520 (* im im)) 1/60) im) im) 1/3) (* im im)) (* (* (- (* -1/2520 (* im im)) 1/60) im) im) (sinh (neg im)))
3.0ms
im
@0
((* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) im) (cos re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (- (* (- (* (* (- (* -1/2520 (* im im)) 1/60) im) im) 1/3) (* im im)) 2) im) (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) (* 2 (sinh (neg im)))) (cos re) (* 2 (sinh (neg im))) (+ (* (* im im) -1/6) -1) (- (exp (- 0 im)) (exp im)) (* (* im im) -1/3) (* (- (* (* (- (* -1/2520 (* im im)) 1/60) im) im) 1/3) (* im im)) (* (* (- (* -1/2520 (* im im)) 1/60) im) im) (sinh (neg im)))

simplify187.0ms (1.8%)

Memory
10.8MiB live, 194.0MiB allocated; 54ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03041347
110081187
240501112
082711049
Stop Event
iter limit
node limit
Counts
86 → 85
Calls
Call 1
Inputs
(* im (- (* -1/6 (pow im 2)) 1))
(+ (* -1/2 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))) (* im (- (* -1/6 (pow im 2)) 1)))
(+ (* im (- (* -1/6 (pow im 2)) 1)) (* (pow re 2) (+ (* -1/2 (* im (- (* -1/6 (pow im 2)) 1))) (* 1/24 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))))))
(+ (* im (- (* -1/6 (pow im 2)) 1)) (* (pow re 2) (+ (* -1/2 (* im (- (* -1/6 (pow im 2)) 1))) (* (pow re 2) (+ (* -1/720 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))) (* 1/24 (* im (- (* -1/6 (pow im 2)) 1))))))))
(* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im)))))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))))
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))))))
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/48 (- (exp (neg im)) (/ 1 (exp (neg im))))))))))
im
(+ im (* -1/2 (* im (pow re 2))))
(+ im (* (pow re 2) (+ (* -1/2 im) (* 1/24 (* im (pow re 2))))))
(+ im (* (pow re 2) (+ (* -1/2 im) (* (pow re 2) (+ (* -1/720 (* im (pow re 2))) (* 1/24 im))))))
1
(+ 1 (* -1/2 (pow re 2)))
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))
(* 1/2 (- (exp (neg im)) (exp im)))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im)))))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im))))))))
(* -1 im)
(+ (* -1 im) (* 1/2 (* im (pow re 2))))
(+ (* -1 im) (* (pow re 2) (+ (* -1/24 (* im (pow re 2))) (* 1/2 im))))
(+ (* -1 im) (* (pow re 2) (+ (* 1/2 im) (* (pow re 2) (+ (* -1/24 im) (* 1/720 (* im (pow re 2))))))))
1/2
(+ 1/2 (* -1/4 (pow re 2)))
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))
(pow re 2)
(- (exp (neg im)) (/ 1 (exp (neg im))))
(- (+ (exp (neg im)) (* -1/2 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))) (/ 1 (exp (neg im))))
(- (+ (exp (neg im)) (* (pow re 2) (+ (* -1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/24 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))))) (/ 1 (exp (neg im))))
(- (+ (exp (neg im)) (* (pow re 2) (+ (* -1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/720 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/24 (- (exp (neg im)) (/ 1 (exp (neg im)))))))))) (/ 1 (exp (neg im))))
(* im (* (cos re) (- (* -1/6 (pow im 2)) 1)))
(* 1/2 (* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im))))))
(* im (cos re))
(cos re)
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* -1 (* im (cos re)))
(* 1/2 (cos re))
(* -1/4 (pow re 2))
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/4))
(* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im)))))
(* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re)))))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re)))))))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re)))))))))
(* -2 im)
(* im (- (* -1/3 (pow im 2)) 2))
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
(* -2 (* im (cos re)))
(* im (+ (* -2 (cos re)) (* -1/3 (* (pow im 2) (cos re)))))
(* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -1/3 (cos re)) (* -1/60 (* (pow im 2) (cos re)))))))
(* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -1/3 (cos re)) (* (pow im 2) (+ (* -1/60 (cos re)) (* -1/2520 (* (pow im 2) (cos re)))))))))
-1
(- (* -1/6 (pow im 2)) 1)
(* -1/3 (pow im 2))
(* (pow im 2) (- (* -1/60 (pow im 2)) 1/3))
(* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3))
(* -1/60 (pow im 2))
(* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60))
(* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) 1/6)) 1))
(* -1/6 (* (pow im 3) (cos re)))
(* (pow im 3) (+ (* -1 (/ (cos re) (pow im 2))) (* -1/6 (cos re))))
(- (exp (neg im)) (exp im))
(* -1/2520 (pow im 7))
(* -1 (* (pow im 7) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* (pow im 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(* (pow im 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow im 2)))) (pow im 4))) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* -1/6 (pow im 2))
(* -1 (* (pow im 2) (+ 1/6 (/ 1 (pow im 2)))))
(* -1/2520 (pow im 6))
(* -1 (* (pow im 6) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* (pow im 6) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(* -1/2520 (pow im 4))
(* -1 (* (pow im 4) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* -1 (* (pow im 3) (+ (* 1/6 (cos re)) (/ (cos re) (pow im 2)))))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(- (exp (* -1 im)) (exp im))
(* -1 (* (pow im 7) (+ 1/2520 (+ (/ 1/3 (pow im 4)) (* 1/60 (/ 1 (pow im 2)))))))
(* -1 (* (pow im 7) (+ 1/2520 (+ (/ 1/3 (pow im 4)) (+ (* 1/60 (/ 1 (pow im 2))) (* 2 (/ 1 (pow im 6))))))))
(* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))
(- (exp (* -1 im)) (/ 1 (exp (* -1 im))))
(* 1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))
Outputs
(* im (- (* -1/6 (pow im 2)) 1))
(*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im)
(+ (* -1/2 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))) (* im (- (* -1/6 (pow im 2)) 1)))
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im))
(+ (* im (- (* -1/6 (pow im 2)) 1)) (* (pow re 2) (+ (* -1/2 (* im (- (* -1/6 (pow im 2)) 1))) (* 1/24 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))))))
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im) (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64))) (*.f64 re re) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im))
(+ (* im (- (* -1/6 (pow im 2)) 1)) (* (pow re 2) (+ (* -1/2 (* im (- (* -1/6 (pow im 2)) 1))) (* (pow re 2) (+ (* -1/720 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))) (* 1/24 (* im (- (* -1/6 (pow im 2)) 1))))))))
(fma.f64 (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im) (*.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) (*.f64 im (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64))))))
(* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im)))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64))) (*.f64 re re) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/48 (- (exp (neg im)) (/ 1 (exp (neg im))))))))))
(fma.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #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 -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)))))
im
(+ im (* -1/2 (* im (pow re 2))))
(fma.f64 (*.f64 (*.f64 re re) im) #s(literal -1/2 binary64) im)
(+ im (* (pow re 2) (+ (* -1/2 im) (* 1/24 (* im (pow re 2))))))
(fma.f64 (*.f64 im (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64))) (*.f64 re re) im)
(+ im (* (pow re 2) (+ (* -1/2 im) (* (pow re 2) (+ (* -1/720 (* im (pow re 2))) (* 1/24 im))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) im) (pow.f64 re #s(literal 4 binary64)) (*.f64 im (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64)))) (*.f64 re re) im)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow re 2)))
(fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))
(* 1/2 (- (exp (neg im)) (exp im)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im)))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64))) (*.f64 re re) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im))))))))
(fma.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #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 -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)))))
(* -1 im)
(neg.f64 im)
(+ (* -1 im) (* 1/2 (* im (pow re 2))))
(*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))
(+ (* -1 im) (* (pow re 2) (+ (* -1/24 (* im (pow re 2))) (* 1/2 im))))
(fma.f64 (*.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im))
(+ (* -1 im) (* (pow re 2) (+ (* 1/2 im) (* (pow re 2) (+ (* -1/24 im) (* 1/720 (* im (pow re 2))))))))
(fma.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)) (*.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 im (fma.f64 (*.f64 #s(literal 1/720 binary64) re) re #s(literal -1/24 binary64)))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (pow re 2)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64))
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
(pow re 2)
(*.f64 re re)
(- (exp (neg im)) (/ 1 (exp (neg im))))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(- (+ (exp (neg im)) (* -1/2 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))) (/ 1 (exp (neg im))))
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(- (+ (exp (neg im)) (* (pow re 2) (+ (* -1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/24 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))))) (/ 1 (exp (neg im))))
(fma.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64))) (*.f64 re re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(- (+ (exp (neg im)) (* (pow re 2) (+ (* -1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/720 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/24 (- (exp (neg im)) (/ 1 (exp (neg im)))))))))) (/ 1 (exp (neg im))))
(fma.f64 (fma.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/720 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64)))) (*.f64 re re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* im (* (cos re) (- (* -1/6 (pow im 2)) 1)))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im)))
(* 1/2 (* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im))))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(* im (cos re))
(*.f64 (cos.f64 re) im)
(cos re)
(cos.f64 re)
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(* -1 (* im (cos re)))
(*.f64 (neg.f64 (cos.f64 re)) im)
(* 1/2 (cos re))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(* -1/4 (pow re 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 re re))
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/4))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) re)
(* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im)))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re))
(* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re)))))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im)))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re)))))))
(*.f64 (fma.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64))) (*.f64 im im) (neg.f64 (cos.f64 re))) im)
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re)))))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal -1/120 binary64))))) im)
(* -2 im)
(*.f64 #s(literal -2 binary64) im)
(* im (- (* -1/3 (pow im 2)) 2))
(*.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64)) im)
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)
(* -2 (* im (cos re)))
(*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) im)
(* im (+ (* -2 (cos re)) (* -1/3 (* (pow im 2) (cos re)))))
(*.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)
(* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -1/3 (cos re)) (* -1/60 (* (pow im 2) (cos re)))))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) im))
(* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -1/3 (cos re)) (* (pow im 2) (+ (* -1/60 (cos re)) (* -1/2520 (* (pow im 2) (cos re)))))))))
(*.f64 (fma.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))))) im)
-1
#s(literal -1 binary64)
(- (* -1/6 (pow im 2)) 1)
(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))
(* -1/3 (pow im 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 im im))
(* (pow im 2) (- (* -1/60 (pow im 2)) 1/3))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im)
(* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3))
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im))
(* -1/60 (pow im 2))
(*.f64 #s(literal -1/60 binary64) (*.f64 im im))
(* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im)
(* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) 1/6)) 1))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im)
(* -1/6 (* (pow im 3) (cos re)))
(*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) (cos.f64 re))
(* (pow im 3) (+ (* -1 (/ (cos re) (pow im 2))) (* -1/6 (cos re))))
(*.f64 (*.f64 (cos.f64 re) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 im im)) #s(literal 1/6 binary64))) (pow.f64 im #s(literal 3 binary64)))
(- (exp (neg im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* -1/2520 (pow im 7))
(*.f64 (pow.f64 im #s(literal 7 binary64)) #s(literal -1/2520 binary64))
(* -1 (* (pow im 7) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(*.f64 (+.f64 (/.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal -1/2520 binary64)) (pow.f64 im #s(literal 7 binary64)))
(* (pow im 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal -1/60 binary64) (*.f64 im im))) #s(literal 1/2520 binary64)) (pow.f64 im #s(literal 7 binary64)))
(* (pow im 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow im 2)))) (pow im 4))) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal -1 binary64) #s(literal -1/3 binary64)) (pow.f64 im #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 im im)) #s(literal 1/2520 binary64))) (pow.f64 im #s(literal 7 binary64)))
(* -1/6 (pow im 2))
(*.f64 (*.f64 im im) #s(literal -1/6 binary64))
(* -1 (* (pow im 2) (+ 1/6 (/ 1 (pow im 2)))))
(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))
(* -1/2520 (pow im 6))
(*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/2520 binary64))
(* -1 (* (pow im 6) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(*.f64 (+.f64 (/.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal -1/2520 binary64)) (pow.f64 im #s(literal 6 binary64)))
(* (pow im 6) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(*.f64 (pow.f64 im #s(literal 6 binary64)) (-.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal -1/60 binary64) (*.f64 im im))) #s(literal 1/2520 binary64)))
(* -1/2520 (pow im 4))
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/2520 binary64))
(* -1 (* (pow im 4) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(*.f64 (+.f64 (/.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal -1/2520 binary64)) (pow.f64 im #s(literal 4 binary64)))
(* -1 (* (pow im 3) (+ (* 1/6 (cos re)) (/ (cos re) (pow im 2)))))
(*.f64 (*.f64 (cos.f64 re) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 im im)) #s(literal 1/6 binary64))) (pow.f64 im #s(literal 3 binary64)))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* -1 (* (pow im 7) (+ 1/2520 (+ (/ 1/3 (pow im 4)) (* 1/60 (/ 1 (pow im 2)))))))
(*.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal -1/2520 binary64))) (pow.f64 im #s(literal 7 binary64)))
(* -1 (* (pow im 7) (+ 1/2520 (+ (/ 1/3 (pow im 4)) (+ (* 1/60 (/ 1 (pow im 2))) (* 2 (/ 1 (pow im 6))))))))
(*.f64 (neg.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (*.f64 im im))) (/.f64 #s(literal -2 binary64) (pow.f64 im #s(literal 6 binary64))))) (pow.f64 im #s(literal 7 binary64)))
(* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re))
(- (exp (* -1 im)) (/ 1 (exp (* -1 im))))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* 1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))

rewrite595.0ms (5.7%)

Memory
-139.6MiB live, 287.1MiB allocated; 798ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
060301
088296
1280279
21716279
08434279
Stop Event
iter limit
node limit
iter limit
Counts
25 → 338
Calls
Call 1
Inputs
(*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(*.f64 (cos.f64 re) im)
(cos.f64 re)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (neg (cos re)) im) (neg.f64 im))
(neg.f64 im)
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
#s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(*.f64 re re)
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)
(*.f64 (*.f64 #s(approx (cos re) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64))
(*.f64 #s(approx (cos re) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))))
#s(approx (cos re) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))
(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im))
(*.f64 (*.f64 im im) #s(literal -1/3 binary64))
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im)
(sinh.f64 (neg.f64 im))
Outputs
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal -1 binary64)) (cos.f64 re)) im)
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal -1 binary64)) im) (cos.f64 re))
(*.f64 (cos.f64 re) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal -1 binary64)) im))
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal -1 binary64)) (*.f64 (cos.f64 re) im))
(*.f64 (*.f64 (cos.f64 re) im) (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal -1 binary64)))
(*.f64 im (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 im) (cos.f64 re)) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (cos.f64 re)) #s(literal 2 binary64))) (-.f64 (*.f64 (neg.f64 im) (cos.f64 re)) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (cos.f64 re))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (cos.f64 re)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 re) im)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (cos.f64 re)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 re) im)) (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 re) im)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (cos.f64 re)) (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 re) im))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (cos.f64 re)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 im) (cos.f64 re)) #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (cos.f64 re)) #s(literal 2 binary64)) (fma.f64 (*.f64 (*.f64 (neg.f64 im) (cos.f64 re)) #s(literal -1 binary64)) (*.f64 (*.f64 (neg.f64 im) (cos.f64 re)) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (cos.f64 re)) (*.f64 (*.f64 (neg.f64 im) (cos.f64 re)) #s(literal -1 binary64))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 re) im) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (cos.f64 re)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (neg.f64 im) (cos.f64 re)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (cos.f64 re)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 im) (cos.f64 re)) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (cos.f64 re))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (cos.f64 re) im))) (neg.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1 binary64)) (*.f64 (cos.f64 re) im))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 im im))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 re) im) (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 #s(literal -1/216 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 im im))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (cos.f64 re)) #s(literal 2 binary64)) (pow.f64 (*.f64 (neg.f64 im) (cos.f64 re)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (cos.f64 re)) (*.f64 (neg.f64 im) (cos.f64 re)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 re) im) (*.f64 im im)) #s(literal 3 binary64)) #s(literal -1/216 binary64) (pow.f64 (*.f64 (neg.f64 im) (cos.f64 re)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (cos.f64 re)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (neg.f64 im) (cos.f64 re)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (cos.f64 re)) (*.f64 (neg.f64 im) (cos.f64 re)))))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (cos.f64 re) im)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1 binary64)) (*.f64 (cos.f64 re) im)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 im im)))))
(/.f64 (*.f64 (*.f64 (cos.f64 re) im) (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 #s(literal -1/216 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 im im)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (cos.f64 re)) #s(literal 2 binary64)) (pow.f64 (*.f64 (neg.f64 im) (cos.f64 re)) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (cos.f64 re)) (*.f64 (neg.f64 im) (cos.f64 re))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 re) im) (*.f64 im im)) #s(literal 3 binary64)) #s(literal -1/216 binary64) (pow.f64 (*.f64 (neg.f64 im) (cos.f64 re)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (cos.f64 re)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (neg.f64 im) (cos.f64 re)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (cos.f64 re)) (*.f64 (neg.f64 im) (cos.f64 re))))))
(fma.f64 (*.f64 #s(literal -1 binary64) (cos.f64 re)) im (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (cos.f64 re)))
(fma.f64 (*.f64 (*.f64 (cos.f64 re) im) #s(literal -1/6 binary64)) (*.f64 im im) (*.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 (*.f64 (*.f64 (cos.f64 re) im) (*.f64 im im)) #s(literal -1/6 binary64) (*.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 (*.f64 (*.f64 (cos.f64 re) im) im) (*.f64 #s(literal -1/6 binary64) im) (*.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (cos.f64 re)) im (*.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (cos.f64 re) (*.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (*.f64 (cos.f64 re) im) (*.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 (neg.f64 im) (cos.f64 re) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (cos.f64 re)))
(fma.f64 (neg.f64 (cos.f64 re)) im (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (cos.f64 re)))
(fma.f64 (cos.f64 re) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))) (*.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 (cos.f64 re) (*.f64 im #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (cos.f64 re)))
(fma.f64 (cos.f64 re) (neg.f64 im) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (cos.f64 re)))
(fma.f64 #s(literal -1 binary64) (*.f64 (cos.f64 re) im) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (cos.f64 re)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 im im) (*.f64 (cos.f64 re) im)) (*.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 (*.f64 im im) (*.f64 #s(literal -1/6 binary64) (*.f64 (cos.f64 re) im)) (*.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 (*.f64 (cos.f64 re) im) (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (*.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 (*.f64 (cos.f64 re) im) #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (cos.f64 re)))
(fma.f64 im (*.f64 (cos.f64 re) (*.f64 #s(literal -1/6 binary64) (*.f64 im im))) (*.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 im (*.f64 (*.f64 #s(literal -1/6 binary64) im) (*.f64 (cos.f64 re) im)) (*.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 im (*.f64 (cos.f64 re) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (cos.f64 re)))
(fma.f64 im (neg.f64 (cos.f64 re)) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (cos.f64 re)))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (cos.f64 re)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (cos.f64 re)) (*.f64 (neg.f64 im) (cos.f64 re)))) (/.f64 (pow.f64 (*.f64 (neg.f64 im) (cos.f64 re)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (cos.f64 re)) (*.f64 (neg.f64 im) (cos.f64 re)))))
(-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (cos.f64 re)) (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 re) im)))
(-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (cos.f64 re)) (*.f64 (*.f64 (neg.f64 im) (cos.f64 re)) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (cos.f64 re)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (cos.f64 re)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (neg.f64 im) (cos.f64 re)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (cos.f64 re)) (*.f64 (neg.f64 im) (cos.f64 re)))))) (/.f64 (pow.f64 (*.f64 (neg.f64 im) (cos.f64 re)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (cos.f64 re)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (neg.f64 im) (cos.f64 re)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (cos.f64 re)) (*.f64 (neg.f64 im) (cos.f64 re)))))))
(+.f64 (*.f64 (neg.f64 im) (cos.f64 re)) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (cos.f64 re)))
(+.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (cos.f64 re)) (*.f64 (neg.f64 im) (cos.f64 re)))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal -1 binary64)) im) (cos.f64 re)))
(*.f64 (cos.f64 re) im)
(*.f64 im (cos.f64 re))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (sin.f64 re) #s(literal 0 binary64))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1 binary64)) (*.f64 (cos.f64 re) #s(literal 1 binary64)))) (-.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (cos.f64 re) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 re) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (sin.f64 re) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1 binary64)) (*.f64 (cos.f64 re) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (cos.f64 re) #s(literal 1 binary64))))))
(fma.f64 (sin.f64 (neg.f64 re)) #s(literal 0 binary64) (*.f64 (cos.f64 re) #s(literal 1 binary64)))
(fma.f64 (sin.f64 re) #s(literal 0 binary64) (*.f64 (cos.f64 re) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 re) (*.f64 #s(literal 0 binary64) (sin.f64 re)))
(sin.f64 (+.f64 (neg.f64 (neg.f64 re)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (neg.f64 re) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) re))
(cos.f64 (neg.f64 (neg.f64 (neg.f64 re))))
(cos.f64 (neg.f64 (neg.f64 re)))
(cos.f64 (neg.f64 re))
(cos.f64 re)
(+.f64 (*.f64 (sin.f64 (neg.f64 re)) #s(literal 0 binary64)) (*.f64 (cos.f64 re) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) (*.f64 #s(literal 0 binary64) (sin.f64 re)))
(+.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (cos.f64 re) #s(literal 1 binary64)))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (neg (cos re)) im) (neg.f64 im))
(*.f64 #s(literal -1 binary64) im)
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) im) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) im) (/.f64 #s(literal 0 binary64) im) (fma.f64 im im (*.f64 (/.f64 #s(literal 0 binary64) im) im))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (*.f64 im im)) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (*.f64 im im)) (/.f64 #s(literal 0 binary64) (*.f64 im im)) (fma.f64 im im (*.f64 (/.f64 #s(literal 0 binary64) (*.f64 im im)) im))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 im im)))) im)
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 im im)) (*.f64 (*.f64 im im) (pow.f64 im #s(literal 3 binary64)))) (pow.f64 im #s(literal 4 binary64)))
(/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (neg.f64 (neg.f64 (*.f64 im im))))
(/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (*.f64 im im))
(/.f64 (neg.f64 (neg.f64 (*.f64 im im))) (neg.f64 im))
(/.f64 (neg.f64 (*.f64 im im)) im)
(/.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 im (neg.f64 im)))
(/.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (neg.f64 im) im))
(/.f64 (pow.f64 im #s(literal 3 binary64)) (neg.f64 (*.f64 im im)))
(/.f64 (*.f64 im im) (neg.f64 im))
(neg.f64 im)
(-.f64 (log.f64 (+.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (neg.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64))))) (log.f64 (fma.f64 (cosh.f64 im) (cosh.f64 im) (-.f64 (pow.f64 (sinh.f64 im) #s(literal 2 binary64)) (*.f64 (cosh.f64 im) (sinh.f64 (neg.f64 im)))))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (exp.f64 im))))
(-.f64 (/.f64 #s(literal 0 binary64) im) im)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 im im)) im)
(-.f64 #s(literal 0 binary64) im)
(+.f64 (/.f64 #s(literal 0 binary64) im) (/.f64 (*.f64 im (neg.f64 im)) im))
(+.f64 (/.f64 #s(literal 0 binary64) im) (/.f64 (*.f64 (neg.f64 im) im) im))
(log.f64 (exp.f64 (neg.f64 im)))
(*.f64 #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64)) im)) #s(approx (* 1/2 (cos re)) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64))))
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(*.f64 im (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) im))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (*.f64 im im))) (neg.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 3 binary64)) #s(literal 1/27 binary64)) (*.f64 im im))) (neg.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/9 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 im im) (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 2 binary64)) #s(literal 1/9 binary64)))) (neg.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 im im) (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (neg.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/9 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (*.f64 im im)) (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im #s(literal 1/3 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 3 binary64)) #s(literal 1/27 binary64)) (*.f64 im im)) (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/9 binary64))))
(/.f64 (*.f64 (*.f64 im im) (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 2 binary64)) #s(literal 1/9 binary64))) (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im #s(literal 1/3 binary64)))
(/.f64 (*.f64 (*.f64 im im) (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 3 binary64)) #s(literal 1/27 binary64))) (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/9 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) (neg.f64 im)) (neg.f64 im))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im)
(*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) (*.f64 im im))
(*.f64 (*.f64 im im) (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)))
(*.f64 im (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/3600 binary64)) (*.f64 im im))) (neg.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal 1/60 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/16003008000 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/216000 binary64)) (*.f64 im im))) (neg.f64 (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/151200 binary64) #s(literal 1/3600 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/3600 binary64)) (*.f64 im im)) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal 1/60 binary64)))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/16003008000 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/216000 binary64)) (*.f64 im im)) (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/151200 binary64) #s(literal 1/3600 binary64))))
(*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 1/2 binary64))
(*.f64 (sinh.f64 (neg.f64 im)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))))
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (neg.f64 im)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 im) #s(literal -2 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 im) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)) (fma.f64 (/.f64 (exp.f64 im) #s(literal 2 binary64)) (/.f64 (exp.f64 im) #s(literal 2 binary64)) (*.f64 (/.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)) (/.f64 (exp.f64 im) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cosh.f64 im)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (sinh.f64 im)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 0 binary64) (cosh.f64 im)) (*.f64 #s(literal 0 binary64) (cosh.f64 im)) (fma.f64 (*.f64 #s(literal 1 binary64) (sinh.f64 im)) (*.f64 #s(literal 1 binary64) (sinh.f64 im)) (*.f64 (*.f64 #s(literal 0 binary64) (cosh.f64 im)) (*.f64 #s(literal 1 binary64) (sinh.f64 im))))))
(/.f64 (-.f64 (*.f64 (/.f64 (sinh.f64 im) #s(literal -2 binary64)) (/.f64 (sinh.f64 im) #s(literal -2 binary64))) (*.f64 (/.f64 (sinh.f64 im) #s(literal -2 binary64)) (/.f64 (sinh.f64 im) #s(literal -2 binary64)))) (-.f64 (/.f64 (sinh.f64 im) #s(literal -2 binary64)) (/.f64 (sinh.f64 im) #s(literal -2 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 (sinh.f64 im) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (sinh.f64 im) #s(literal -2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (sinh.f64 im) #s(literal -2 binary64)) (/.f64 (sinh.f64 im) #s(literal -2 binary64)) (-.f64 (*.f64 (/.f64 (sinh.f64 im) #s(literal -2 binary64)) (/.f64 (sinh.f64 im) #s(literal -2 binary64))) (*.f64 (/.f64 (sinh.f64 im) #s(literal -2 binary64)) (/.f64 (sinh.f64 im) #s(literal -2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 im))) #s(literal 4 binary64))
(/.f64 (fma.f64 (sinh.f64 (neg.f64 im)) #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 2 binary64))
(sinh.f64 (neg.f64 im))
(neg.f64 (sinh.f64 im))
(-.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 im)) (cosh.f64 im)) #s(literal 2 binary64)) (/.f64 (sinh.f64 im) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (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)))) #s(literal 2 binary64)) (/.f64 (/.f64 (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)))) #s(literal 2 binary64)))
(-.f64 (*.f64 (sinh.f64 (/.f64 #s(literal 0 binary64) im)) (cosh.f64 im)) (*.f64 (cosh.f64 (/.f64 #s(literal 0 binary64) im)) (sinh.f64 im)))
(-.f64 (*.f64 (sinh.f64 (/.f64 #s(literal 0 binary64) (*.f64 im im))) (cosh.f64 im)) (*.f64 (cosh.f64 (/.f64 #s(literal 0 binary64) (*.f64 im im))) (sinh.f64 im)))
(-.f64 (/.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)) (/.f64 (exp.f64 im) #s(literal 2 binary64)))
(-.f64 (*.f64 #s(literal 0 binary64) (cosh.f64 im)) (*.f64 #s(literal 1 binary64) (sinh.f64 im)))
(+.f64 (/.f64 (cosh.f64 im) #s(literal 2 binary64)) (/.f64 (-.f64 (sinh.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 2 binary64)))
(+.f64 (/.f64 (sinh.f64 im) #s(literal -2 binary64)) (/.f64 (sinh.f64 im) #s(literal -2 binary64)))

eval61.0ms (0.6%)

Memory
-0.5MiB live, 130.2MiB allocated; 15ms collecting garbage
Compiler

Compiled 14 874 to 2 073 computations (86.1% saved)

prune92.0ms (0.9%)

Memory
-1.6MiB live, 78.5MiB allocated; 52ms collecting garbage
Pruning

25 alts after pruning (21 fresh and 4 done)

PrunedKeptTotal
New42013433
Fresh5813
Picked325
Done022
Total42825453
Accuracy
100.0%
Counts
453 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.1%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))))
86.2%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
63.6%
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) #s(literal 1 binary64)))
57.0%
(*.f64 #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)))
55.8%
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
53.9%
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
55.3%
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
52.3%
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) im) im) #s(literal 2 binary64)) im)))
43.3%
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
57.0%
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) (*.f64 im im)) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
54.4%
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 #s(approx (* (* (- (* -1/2520 (* im im)) 1/60) im) im) (*.f64 #s(literal -1/60 binary64) (*.f64 im im))) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
54.4%
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
22.1%
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 re) im) (*.f64 im im)) #s(literal 3 binary64)) #s(literal -1/216 binary64) (pow.f64 (*.f64 (neg.f64 im) (cos.f64 re)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (cos.f64 re)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (neg.f64 im) (cos.f64 re)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (cos.f64 re)) (*.f64 (neg.f64 im) (cos.f64 re)))))))
80.5%
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
53.3%
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
52.3%
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
51.3%
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 #s(approx (* (cos re) im) (fma.f64 (*.f64 im (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64))) (*.f64 re re) im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
49.9%
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im)))
45.9%
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (*.f64 (*.f64 (cos.f64 re) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 im im)) #s(literal 1/6 binary64))) (pow.f64 im #s(literal 3 binary64)))))
54.4%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 re) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 re) #s(literal -1 binary64)) (*.f64 (cos.f64 re) #s(literal -1 binary64)) (fma.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (*.f64 (cos.f64 re) #s(literal -1 binary64)) (*.f64 (sin.f64 re) #s(literal 0 binary64)))))) im))
54.5%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
36.5%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im))))
34.0%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 im im) (neg.f64 im))))
37.1%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))
30.3%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
Compiler

Compiled 1 617 to 1 125 computations (30.4% saved)

simplify283.0ms (2.7%)

Memory
18.6MiB live, 296.1MiB allocated; 111ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64))
cost-diff0
(fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
cost-diff0
#s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)))
cost-diff0
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
cost-diff0
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) (*.f64 im im)) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)
cost-diff0
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) (*.f64 im im)) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))
cost-diff0
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
cost-diff0
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) (*.f64 im im)) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
cost-diff0
(*.f64 re re)
cost-diff0
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
cost-diff0
#s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
cost-diff0
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) im) im) #s(literal 2 binary64)) im)))
cost-diff0
(fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))
cost-diff0
(*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))
cost-diff0
#s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))
cost-diff0
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))
cost-diff0
#s(approx (cos re) #s(literal 1 binary64))
cost-diff0
(neg.f64 im)
cost-diff0
(sinh.f64 (neg.f64 im))
cost-diff0
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) #s(literal 1 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064584
099577
1185577
2390577
31039577
43048577
08055577
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) #s(literal 1 binary64)))
(sinh.f64 (neg.f64 im))
(neg.f64 im)
im
#s(approx (cos re) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))
#s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))
(*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))
im
(fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) re)
#s(literal 1/2 binary64)
re
#s(literal -1 binary64)
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) im) im) #s(literal 2 binary64)) im)))
#s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(*.f64 re re)
re
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) im) im) #s(literal 2 binary64)) im))
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) im) im) #s(literal 2 binary64)) im)
(-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) im) im) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal -1/3 binary64) im) im)
(*.f64 #s(literal -1/3 binary64) im)
#s(literal -1/3 binary64)
im
#s(literal 2 binary64)
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) (*.f64 im im)) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) (*.f64 im im)) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) (*.f64 im im)) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)
(-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) (*.f64 im im)) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) (*.f64 im im)) #s(literal 1/3 binary64)) (*.f64 im im))
(-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) (*.f64 im im)) #s(literal 1/3 binary64))
(*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) (*.f64 im im))
(-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64))
(*.f64 #s(literal -1/2520 binary64) (*.f64 im im))
#s(literal -1/2520 binary64)
(*.f64 im im)
im
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
#s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
(-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/48 binary64) (*.f64 re re))
#s(literal 1/48 binary64)
(*.f64 re re)
re
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)
(-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64))
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im))
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im)
(*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im)
(-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64))
(*.f64 #s(literal -1/2520 binary64) (*.f64 im im))
#s(literal -1/2520 binary64)
(*.f64 im im)
im
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
#s(literal 2 binary64)
Outputs
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) #s(literal 1 binary64)))
(*.f64 #s(approx (cos re) #s(literal 1 binary64)) (sinh.f64 (neg.f64 im)))
(sinh.f64 (neg.f64 im))
(neg.f64 im)
im
#s(approx (cos re) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)) im)))
#s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))
#s(approx (* (neg (cos re)) im) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)) im))
(*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)) im)
im
(fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) re)
#s(literal 1/2 binary64)
re
#s(literal -1 binary64)
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) im) im) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) im) im) #s(literal 2 binary64)) im)) #s(approx (* 1/2 (cos re)) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos re)) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64))
(*.f64 re re)
re
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) im) im) #s(literal 2 binary64)) im))
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) im) im) #s(literal 2 binary64)) im)
(-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) im) im) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal -1/3 binary64) im) im)
(*.f64 #s(literal -1/3 binary64) im)
#s(literal -1/3 binary64)
im
#s(literal 2 binary64)
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) (*.f64 im im)) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) (*.f64 im im)) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) (*.f64 im im)) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)
(-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) (*.f64 im im)) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64))
(-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) (*.f64 im im)) #s(literal 1/3 binary64)) (*.f64 im im))
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im))
(-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) (*.f64 im im)) #s(literal 1/3 binary64))
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64))
(*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) (*.f64 im im))
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) im) im)
(-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64))
(-.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64))
(*.f64 #s(literal -1/2520 binary64) (*.f64 im im))
(*.f64 (*.f64 im im) #s(literal -1/2520 binary64))
#s(literal -1/2520 binary64)
(*.f64 im im)
im
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
#s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
(-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/48 binary64) (*.f64 re re))
#s(literal 1/48 binary64)
(*.f64 re re)
re
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)
(-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64))
(-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64))
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im))
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im))
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64))
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im)
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) im) im)
(*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im)
(*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) im)
(-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64))
(-.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64))
(*.f64 #s(literal -1/2520 binary64) (*.f64 im im))
(*.f64 (*.f64 im im) #s(literal -1/2520 binary64))
#s(literal -1/2520 binary64)
(*.f64 im im)
im
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
#s(literal 2 binary64)

localize472.0ms (4.5%)

Memory
3.4MiB live, 544.2MiB allocated; 112ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.1484375
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im))
accuracy0.20703125
(*.f64 #s(literal 1/48 binary64) (*.f64 re re))
accuracy6.145634124667164
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))
accuracy31.444312159169932
#s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)))
accuracy0.1484375
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) (*.f64 im im)) #s(literal 1/3 binary64)) (*.f64 im im))
accuracy0.15625
(*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) (*.f64 im im))
accuracy6.145634124667164
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) (*.f64 im im)) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))
accuracy28.962479667623967
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
accuracy0.12890625
(*.f64 (*.f64 #s(literal -1/3 binary64) im) im)
accuracy0.31640625
(*.f64 #s(literal -1/3 binary64) im)
accuracy12.39663468787862
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) im) im) #s(literal 2 binary64)) im))
accuracy31.328337512351332
#s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
accuracy0.0
(*.f64 #s(literal 1/2 binary64) re)
accuracy2.6477873711073885
(*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))
accuracy29.0564214244349
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))
accuracy31.16060096097234
#s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))
accuracy0.0
(neg.f64 im)
accuracy0.00390625
(sinh.f64 (neg.f64 im))
accuracy0.07421875
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) #s(literal 1 binary64)))
accuracy28.962849102036817
#s(approx (cos re) #s(literal 1 binary64))
Samples
300.0ms55×2valid
74.0ms78×1valid
52.0ms123×0valid
Compiler

Compiled 410 to 57 computations (86.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 337.0ms
ival-exp: 120.0ms (35.6% of total)
adjust: 113.0ms (33.5% of total)
ival-mult: 50.0ms (14.8% of total)
const: 20.0ms (5.9% of total)
ival-sub: 15.0ms (4.4% of total)
ival-cos: 6.0ms (1.8% of total)
ival-add: 5.0ms (1.5% of total)
ival-sinh: 5.0ms (1.5% of total)
ival-neg: 3.0ms (0.9% of total)
exact: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series24.0ms (0.2%)

Memory
12.5MiB live, 58.6MiB allocated; 5ms collecting garbage
Counts
29 → 75
Calls
Call 1
Inputs
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) #s(literal 1 binary64)))
(sinh.f64 (neg.f64 im))
(neg.f64 im)
#s(approx (cos re) #s(literal 1 binary64))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))
#s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))
(*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) im) im) #s(literal 2 binary64)) im)))
#s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(*.f64 re re)
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) (*.f64 im im)) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) (*.f64 im im)) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) (*.f64 im im)) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
#s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
(-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) re)
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) im) im) #s(literal 2 binary64)) im))
(*.f64 #s(literal -1/3 binary64) im)
(*.f64 (*.f64 #s(literal -1/3 binary64) im) im)
(*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) (*.f64 im im))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) (*.f64 im im)) #s(literal 1/3 binary64)) (*.f64 im im))
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))
(*.f64 #s(literal 1/48 binary64) (*.f64 re re))
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im))
Outputs
(* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im)))))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))))
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))))))
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/48 (- (exp (neg im)) (/ 1 (exp (neg im))))))))))
1
(+ 1 (* -1/2 (pow re 2)))
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))
(* 1/2 (- (exp (neg im)) (exp im)))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im)))))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im))))))))
(* -1 im)
(+ (* -1 im) (* 1/2 (* im (pow re 2))))
(+ (* -1 im) (* (pow re 2) (+ (* -1/24 (* im (pow re 2))) (* 1/2 im))))
(+ (* -1 im) (* (pow re 2) (+ (* 1/2 im) (* (pow re 2) (+ (* -1/24 im) (* 1/720 (* im (pow re 2))))))))
-1
(- (* 1/2 (pow re 2)) 1)
1/2
(+ 1/2 (* -1/4 (pow re 2)))
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))
(pow re 2)
-1/4
(- (* 1/48 (pow re 2)) 1/4)
(* 1/2 re)
(* 1/48 (pow re 2))
(* 1/2 (* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im))))))
(cos re)
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* -1 (* im (cos re)))
(* 1/2 (* im (pow re 2)))
(* (pow re 2) (+ (* -1 (/ im (pow re 2))) (* 1/2 im)))
(* 1/2 (pow re 2))
(* (pow re 2) (- 1/2 (/ 1 (pow re 2))))
(* 1/2 (cos re))
(* -1/4 (pow re 2))
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/4))
(* 1/48 (pow re 4))
(* (pow re 4) (- 1/48 (* 1/4 (/ 1 (pow re 2)))))
(* (pow re 4) (- (+ 1/48 (/ 1/2 (pow re 4))) (* 1/4 (/ 1 (pow re 2)))))
(* (pow re 2) (- 1/48 (* 1/4 (/ 1 (pow re 2)))))
(* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re)))))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re)))))))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re)))))))))
(* im (- (* -1/6 (pow im 2)) 1))
(* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) 1/6)) 1))
(* im (- (* 1/2 (pow re 2)) 1))
(* -2 im)
(* im (- (* -1/3 (pow im 2)) 2))
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
(* -1/3 im)
(* -1/3 (pow im 2))
(* -1/60 (pow im 2))
(* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60))
(* (pow im 2) (- (* -1/60 (pow im 2)) 1/3))
(* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3))
(- (exp (neg im)) (exp im))
(* -1/2520 (pow im 7))
(* -1 (* (pow im 7) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* (pow im 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(* (pow im 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow im 2)))) (pow im 4))) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* -1/2520 (pow im 4))
(* -1 (* (pow im 4) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* -1/2520 (pow im 6))
(* -1 (* (pow im 6) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* (pow im 6) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))))
(* 1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(- (exp (* -1 im)) (exp im))
(* -1 (* (pow im 7) (+ 1/2520 (+ (/ 1/3 (pow im 4)) (* 1/60 (/ 1 (pow im 2)))))))
(* -1 (* (pow im 7) (+ 1/2520 (+ (/ 1/3 (pow im 4)) (+ (* 1/60 (/ 1 (pow im 2))) (* 2 (/ 1 (pow im 6))))))))
Calls

6 calls:

TimeVariablePointExpression
6.0ms
re
@-inf
((* (sinh (neg im)) (cos re)) (sinh (neg im)) (neg im) (cos re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (* im (+ (* (* 1/2 re) re) -1)) (+ (* (* 1/2 re) re) -1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (- (* (- (* (- (* -1/2520 (* im im)) 1/60) (* im im)) 1/3) (* im im)) 2) im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (+ (* (- (* 1/48 (* re re)) 1/4) (* re re)) 1/2) (- (* 1/48 (* re re)) 1/4) (* 1/2 re) (- (exp (- 0 im)) (exp im)) (* -1/3 im) (* (* -1/3 im) im) (* (- (* -1/2520 (* im im)) 1/60) (* im im)) (* (- (* (- (* -1/2520 (* im im)) 1/60) (* im im)) 1/3) (* im im)) (- (exp (- 0 im)) (exp im)) (* 1/48 (* re re)) (* (- (* (* (- (* -1/2520 (* im im)) 1/60) im) im) 1/3) (* im im)))
4.0ms
im
@-inf
((* (sinh (neg im)) (cos re)) (sinh (neg im)) (neg im) (cos re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (* im (+ (* (* 1/2 re) re) -1)) (+ (* (* 1/2 re) re) -1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (- (* (- (* (- (* -1/2520 (* im im)) 1/60) (* im im)) 1/3) (* im im)) 2) im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (+ (* (- (* 1/48 (* re re)) 1/4) (* re re)) 1/2) (- (* 1/48 (* re re)) 1/4) (* 1/2 re) (- (exp (- 0 im)) (exp im)) (* -1/3 im) (* (* -1/3 im) im) (* (- (* -1/2520 (* im im)) 1/60) (* im im)) (* (- (* (- (* -1/2520 (* im im)) 1/60) (* im im)) 1/3) (* im im)) (- (exp (- 0 im)) (exp im)) (* 1/48 (* re re)) (* (- (* (* (- (* -1/2520 (* im im)) 1/60) im) im) 1/3) (* im im)))
4.0ms
im
@inf
((* (sinh (neg im)) (cos re)) (sinh (neg im)) (neg im) (cos re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (* im (+ (* (* 1/2 re) re) -1)) (+ (* (* 1/2 re) re) -1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (- (* (- (* (- (* -1/2520 (* im im)) 1/60) (* im im)) 1/3) (* im im)) 2) im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (+ (* (- (* 1/48 (* re re)) 1/4) (* re re)) 1/2) (- (* 1/48 (* re re)) 1/4) (* 1/2 re) (- (exp (- 0 im)) (exp im)) (* -1/3 im) (* (* -1/3 im) im) (* (- (* -1/2520 (* im im)) 1/60) (* im im)) (* (- (* (- (* -1/2520 (* im im)) 1/60) (* im im)) 1/3) (* im im)) (- (exp (- 0 im)) (exp im)) (* 1/48 (* re re)) (* (- (* (* (- (* -1/2520 (* im im)) 1/60) im) im) 1/3) (* im im)))
3.0ms
re
@inf
((* (sinh (neg im)) (cos re)) (sinh (neg im)) (neg im) (cos re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (* im (+ (* (* 1/2 re) re) -1)) (+ (* (* 1/2 re) re) -1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (- (* (- (* (- (* -1/2520 (* im im)) 1/60) (* im im)) 1/3) (* im im)) 2) im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (+ (* (- (* 1/48 (* re re)) 1/4) (* re re)) 1/2) (- (* 1/48 (* re re)) 1/4) (* 1/2 re) (- (exp (- 0 im)) (exp im)) (* -1/3 im) (* (* -1/3 im) im) (* (- (* -1/2520 (* im im)) 1/60) (* im im)) (* (- (* (- (* -1/2520 (* im im)) 1/60) (* im im)) 1/3) (* im im)) (- (exp (- 0 im)) (exp im)) (* 1/48 (* re re)) (* (- (* (* (- (* -1/2520 (* im im)) 1/60) im) im) 1/3) (* im im)))
3.0ms
im
@0
((* (sinh (neg im)) (cos re)) (sinh (neg im)) (neg im) (cos re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (* im (+ (* (* 1/2 re) re) -1)) (+ (* (* 1/2 re) re) -1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (- (* (- (* (- (* -1/2520 (* im im)) 1/60) (* im im)) 1/3) (* im im)) 2) im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (+ (* (- (* 1/48 (* re re)) 1/4) (* re re)) 1/2) (- (* 1/48 (* re re)) 1/4) (* 1/2 re) (- (exp (- 0 im)) (exp im)) (* -1/3 im) (* (* -1/3 im) im) (* (- (* -1/2520 (* im im)) 1/60) (* im im)) (* (- (* (- (* -1/2520 (* im im)) 1/60) (* im im)) 1/3) (* im im)) (- (exp (- 0 im)) (exp im)) (* 1/48 (* re re)) (* (- (* (* (- (* -1/2520 (* im im)) 1/60) im) im) 1/3) (* im im)))

simplify177.0ms (1.7%)

Memory
5.4MiB live, 184.9MiB allocated; 28ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0242982
1716872
22564849
36831848
08176817
Stop Event
iter limit
node limit
Counts
75 → 75
Calls
Call 1
Inputs
(* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im)))))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))))
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))))))
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/48 (- (exp (neg im)) (/ 1 (exp (neg im))))))))))
1
(+ 1 (* -1/2 (pow re 2)))
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))
(* 1/2 (- (exp (neg im)) (exp im)))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im)))))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im))))))))
(* -1 im)
(+ (* -1 im) (* 1/2 (* im (pow re 2))))
(+ (* -1 im) (* (pow re 2) (+ (* -1/24 (* im (pow re 2))) (* 1/2 im))))
(+ (* -1 im) (* (pow re 2) (+ (* 1/2 im) (* (pow re 2) (+ (* -1/24 im) (* 1/720 (* im (pow re 2))))))))
-1
(- (* 1/2 (pow re 2)) 1)
1/2
(+ 1/2 (* -1/4 (pow re 2)))
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))
(pow re 2)
-1/4
(- (* 1/48 (pow re 2)) 1/4)
(* 1/2 re)
(* 1/48 (pow re 2))
(* 1/2 (* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im))))))
(cos re)
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* -1 (* im (cos re)))
(* 1/2 (* im (pow re 2)))
(* (pow re 2) (+ (* -1 (/ im (pow re 2))) (* 1/2 im)))
(* 1/2 (pow re 2))
(* (pow re 2) (- 1/2 (/ 1 (pow re 2))))
(* 1/2 (cos re))
(* -1/4 (pow re 2))
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/4))
(* 1/48 (pow re 4))
(* (pow re 4) (- 1/48 (* 1/4 (/ 1 (pow re 2)))))
(* (pow re 4) (- (+ 1/48 (/ 1/2 (pow re 4))) (* 1/4 (/ 1 (pow re 2)))))
(* (pow re 2) (- 1/48 (* 1/4 (/ 1 (pow re 2)))))
(* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re)))))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re)))))))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re)))))))))
(* im (- (* -1/6 (pow im 2)) 1))
(* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) 1/6)) 1))
(* im (- (* 1/2 (pow re 2)) 1))
(* -2 im)
(* im (- (* -1/3 (pow im 2)) 2))
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
(* -1/3 im)
(* -1/3 (pow im 2))
(* -1/60 (pow im 2))
(* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60))
(* (pow im 2) (- (* -1/60 (pow im 2)) 1/3))
(* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3))
(- (exp (neg im)) (exp im))
(* -1/2520 (pow im 7))
(* -1 (* (pow im 7) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* (pow im 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(* (pow im 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow im 2)))) (pow im 4))) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* -1/2520 (pow im 4))
(* -1 (* (pow im 4) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* -1/2520 (pow im 6))
(* -1 (* (pow im 6) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* (pow im 6) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))))
(* 1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(- (exp (* -1 im)) (exp im))
(* -1 (* (pow im 7) (+ 1/2520 (+ (/ 1/3 (pow im 4)) (* 1/60 (/ 1 (pow im 2)))))))
(* -1 (* (pow im 7) (+ 1/2520 (+ (/ 1/3 (pow im 4)) (+ (* 1/60 (/ 1 (pow im 2))) (* 2 (/ 1 (pow im 6))))))))
Outputs
(* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im)))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64))) (*.f64 re re) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/48 (- (exp (neg im)) (/ 1 (exp (neg im))))))))))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow re 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re (-.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/720 binary64)) #s(literal 1/2 binary64))) (*.f64 re re) #s(literal 1 binary64))
(* 1/2 (- (exp (neg im)) (exp im)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im)))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64))) (*.f64 re re) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im))))))))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
(* -1 im)
(neg.f64 im)
(+ (* -1 im) (* 1/2 (* im (pow re 2))))
(*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))
(+ (* -1 im) (* (pow re 2) (+ (* -1/24 (* im (pow re 2))) (* 1/2 im))))
(fma.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (*.f64 re re) (neg.f64 im))
(+ (* -1 im) (* (pow re 2) (+ (* 1/2 im) (* (pow re 2) (+ (* -1/24 im) (* 1/720 (* im (pow re 2))))))))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 im (fma.f64 (*.f64 #s(literal 1/720 binary64) re) re #s(literal -1/24 binary64))) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))
-1
#s(literal -1 binary64)
(- (* 1/2 (pow re 2)) 1)
(-.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (pow re 2)))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) re) re (-.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/1440 binary64)) #s(literal 1/4 binary64))) (*.f64 re re) #s(literal 1/2 binary64))
(pow re 2)
(*.f64 re re)
-1/4
#s(literal -1/4 binary64)
(- (* 1/48 (pow re 2)) 1/4)
(-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64))
(* 1/2 re)
(*.f64 #s(literal 1/2 binary64) re)
(* 1/48 (pow re 2))
(*.f64 #s(literal 1/48 binary64) (*.f64 re re))
(* 1/2 (* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im))))))
(*.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)) #s(literal 1/2 binary64))
(cos re)
(cos.f64 re)
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(*.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)) #s(literal 1/2 binary64))
(* -1 (* im (cos re)))
(*.f64 (neg.f64 (cos.f64 re)) im)
(* 1/2 (* im (pow re 2)))
(*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im)
(* (pow re 2) (+ (* -1 (/ im (pow re 2))) (* 1/2 im)))
(*.f64 (*.f64 im (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) re) re) #s(literal -1/2 binary64))) (*.f64 re re))
(* 1/2 (pow re 2))
(*.f64 (*.f64 re re) #s(literal 1/2 binary64))
(* (pow re 2) (- 1/2 (/ 1 (pow re 2))))
(*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re)
(* 1/2 (cos re))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(* -1/4 (pow re 2))
(*.f64 (*.f64 re re) #s(literal -1/4 binary64))
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/4))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) re)
(* 1/48 (pow re 4))
(*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/48 binary64))
(* (pow re 4) (- 1/48 (* 1/4 (/ 1 (pow re 2)))))
(*.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 re re))) (pow.f64 re #s(literal 4 binary64)))
(* (pow re 4) (- (+ 1/48 (/ 1/2 (pow re 4))) (* 1/4 (/ 1 (pow re 2)))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 4 binary64))) #s(literal 1/48 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 re re))) (pow.f64 re #s(literal 4 binary64)))
(* (pow re 2) (- 1/48 (* 1/4 (/ 1 (pow re 2)))))
(*.f64 (*.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 re re))) re) re)
(* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re)))))
(*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re)))))))
(*.f64 (fma.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64))) (*.f64 im im) (neg.f64 (cos.f64 re))) im)
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re)))))))))
(*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal -1/120 binary64))) (*.f64 (cos.f64 re) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) im)
(* im (- (* -1/6 (pow im 2)) 1))
(*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)
(* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) 1/6)) 1))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im)
(* im (- (* 1/2 (pow re 2)) 1))
(*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))
(* -2 im)
(*.f64 #s(literal -2 binary64) im)
(* im (- (* -1/3 (pow im 2)) 2))
(*.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64)) im)
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)
(* -1/3 im)
(*.f64 #s(literal -1/3 binary64) im)
(* -1/3 (pow im 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 im im))
(* -1/60 (pow im 2))
(*.f64 #s(literal -1/60 binary64) (*.f64 im im))
(* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im)
(* (pow im 2) (- (* -1/60 (pow im 2)) 1/3))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im)
(* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3))
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im))
(- (exp (neg im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* -1/2520 (pow im 7))
(*.f64 (pow.f64 im #s(literal 7 binary64)) #s(literal -1/2520 binary64))
(* -1 (* (pow im 7) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(*.f64 (+.f64 (/.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal -1/2520 binary64)) (pow.f64 im #s(literal 7 binary64)))
(* (pow im 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(*.f64 (+.f64 (/.f64 #s(literal -1/60 binary64) (*.f64 im im)) (-.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/2520 binary64))) (pow.f64 im #s(literal 7 binary64)))
(* (pow im 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow im 2)))) (pow im 4))) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 im im))) (pow.f64 im #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 im im)) #s(literal 1/2520 binary64))) (pow.f64 im #s(literal 7 binary64)))
(* -1/2520 (pow im 4))
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/2520 binary64))
(* -1 (* (pow im 4) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(*.f64 (+.f64 (/.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal -1/2520 binary64)) (pow.f64 im #s(literal 4 binary64)))
(* -1/2520 (pow im 6))
(*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/2520 binary64))
(* -1 (* (pow im 6) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(*.f64 (+.f64 (/.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal -1/2520 binary64)) (pow.f64 im #s(literal 6 binary64)))
(* (pow im 6) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(*.f64 (pow.f64 im #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal -1/60 binary64) (*.f64 im im)) (-.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/2520 binary64))))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))))
(*.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)) #s(literal 1/2 binary64))
(* 1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(*.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)) #s(literal 1/2 binary64))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* -1 (* (pow im 7) (+ 1/2520 (+ (/ 1/3 (pow im 4)) (* 1/60 (/ 1 (pow im 2)))))))
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (*.f64 im im))) (pow.f64 im #s(literal 7 binary64)))
(* -1 (* (pow im 7) (+ 1/2520 (+ (/ 1/3 (pow im 4)) (+ (* 1/60 (/ 1 (pow im 2))) (* 2 (/ 1 (pow im 6))))))))
(*.f64 (+.f64 (+.f64 (-.f64 (/.f64 #s(literal -1/60 binary64) (*.f64 im im)) (/.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 6 binary64)))) #s(literal -1/2520 binary64)) (/.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 4 binary64)))) (pow.f64 im #s(literal 7 binary64)))

rewrite225.0ms (2.1%)

Memory
2.3MiB live, 288.7MiB allocated; 50ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
064403
099396
1341389
21935389
08465389
Stop Event
iter limit
node limit
iter limit
Counts
29 → 306
Calls
Call 1
Inputs
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) #s(literal 1 binary64)))
(sinh.f64 (neg.f64 im))
(neg.f64 im)
#s(approx (cos re) #s(literal 1 binary64))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))
#s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))
(*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) im) im) #s(literal 2 binary64)) im)))
#s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(*.f64 re re)
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) (*.f64 im im)) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) (*.f64 im im)) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) (*.f64 im im)) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
#s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
(-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) re)
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) im) im) #s(literal 2 binary64)) im))
(*.f64 #s(literal -1/3 binary64) im)
(*.f64 (*.f64 #s(literal -1/3 binary64) im) im)
(*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) (*.f64 im im))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) (*.f64 im im)) #s(literal 1/3 binary64)) (*.f64 im im))
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))
(*.f64 #s(literal 1/48 binary64) (*.f64 re re))
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im))
Outputs
(*.f64 #s(approx (cos re) #s(literal 1 binary64)) (sinh.f64 (neg.f64 im)))
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) #s(approx (cos re) #s(literal 1 binary64)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 #s(approx (cos re) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))))) #s(literal -2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) #s(approx (cos re) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(approx (cos re) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(approx (cos re) #s(literal 1 binary64)) (sinh.f64 im)))
(neg.f64 (*.f64 (sinh.f64 im) #s(approx (cos re) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 im) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)) (fma.f64 (/.f64 (exp.f64 im) #s(literal 2 binary64)) (/.f64 (exp.f64 im) #s(literal 2 binary64)) (*.f64 (/.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)) (/.f64 (exp.f64 im) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cosh.f64 im)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (sinh.f64 im)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 0 binary64) (cosh.f64 im)) (*.f64 #s(literal 0 binary64) (cosh.f64 im)) (fma.f64 (*.f64 #s(literal 1 binary64) (sinh.f64 im)) (*.f64 #s(literal 1 binary64) (sinh.f64 im)) (*.f64 (*.f64 #s(literal 0 binary64) (cosh.f64 im)) (*.f64 #s(literal 1 binary64) (sinh.f64 im))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 im))) #s(literal 4 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) #s(literal 2 binary64))
(sinh.f64 (neg.f64 im))
(neg.f64 (sinh.f64 im))
(-.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 im)) (cosh.f64 im)) #s(literal 2 binary64)) (/.f64 (sinh.f64 im) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (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)))) #s(literal 2 binary64)) (/.f64 (/.f64 (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)))) #s(literal 2 binary64)))
(-.f64 (*.f64 (sinh.f64 (/.f64 #s(literal 0 binary64) im)) (cosh.f64 im)) (*.f64 (cosh.f64 (/.f64 #s(literal 0 binary64) im)) (sinh.f64 im)))
(-.f64 (*.f64 (sinh.f64 (/.f64 #s(literal 0 binary64) (*.f64 im im))) (cosh.f64 im)) (*.f64 (cosh.f64 (/.f64 #s(literal 0 binary64) (*.f64 im im))) (sinh.f64 im)))
(-.f64 (/.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)) (/.f64 (exp.f64 im) #s(literal 2 binary64)))
(-.f64 (*.f64 #s(literal 0 binary64) (cosh.f64 im)) (*.f64 #s(literal 1 binary64) (sinh.f64 im)))
(+.f64 (/.f64 (cosh.f64 im) #s(literal 2 binary64)) (/.f64 (-.f64 (sinh.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) im)
(*.f64 im #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) im) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) im) (/.f64 #s(literal 0 binary64) im) (fma.f64 im im (*.f64 (/.f64 #s(literal 0 binary64) im) im))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (*.f64 im im)) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (*.f64 im im)) (/.f64 #s(literal 0 binary64) (*.f64 im im)) (fma.f64 im im (*.f64 (/.f64 #s(literal 0 binary64) (*.f64 im im)) im))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 im im)))) im)
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 im im)) (*.f64 (*.f64 im im) (pow.f64 im #s(literal 3 binary64)))) (pow.f64 im #s(literal 4 binary64)))
(/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (neg.f64 (neg.f64 (*.f64 im im))))
(/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (*.f64 im im))
(/.f64 (neg.f64 (neg.f64 (*.f64 im im))) (neg.f64 im))
(/.f64 (neg.f64 (*.f64 im im)) im)
(/.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 im (neg.f64 im)))
(/.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (neg.f64 im) im))
(/.f64 (pow.f64 im #s(literal 3 binary64)) (neg.f64 (*.f64 im im)))
(/.f64 (*.f64 im im) (neg.f64 im))
(neg.f64 im)
(-.f64 (log.f64 (+.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (neg.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64))))) (log.f64 (fma.f64 (cosh.f64 im) (cosh.f64 im) (-.f64 (pow.f64 (sinh.f64 im) #s(literal 2 binary64)) (*.f64 (cosh.f64 im) (sinh.f64 (neg.f64 im)))))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (exp.f64 im))))
(-.f64 (/.f64 #s(literal 0 binary64) im) im)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 im im)) im)
(-.f64 #s(literal 0 binary64) im)
(+.f64 (/.f64 #s(literal 0 binary64) im) (/.f64 (*.f64 im (neg.f64 im)) im))
(+.f64 (/.f64 #s(literal 0 binary64) im) (/.f64 (*.f64 (neg.f64 im) im) im))
(log.f64 (exp.f64 (neg.f64 im)))
#s(approx (cos re) #s(literal 1 binary64))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)) im)))
#s(approx (* (neg (cos re)) im) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)) im))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)) im)
(*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im) #s(literal 2 binary64)) (fma.f64 im im (*.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im) im))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 im) #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im) #s(literal 2 binary64)) (fma.f64 (*.f64 (neg.f64 im) #s(literal -1 binary64)) (*.f64 (neg.f64 im) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im) (*.f64 (neg.f64 im) #s(literal -1 binary64))))))
(/.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im) #s(literal 3 binary64))) (fma.f64 im im (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im) #s(literal 2 binary64)) (*.f64 (neg.f64 im) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) im)) (neg.f64 (-.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64)) im)) (neg.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (*.f64 im (-.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 im (fma.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im) #s(literal 2 binary64)) (*.f64 im im))) (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im) (neg.f64 im))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 re #s(literal 6 binary64)) (pow.f64 (neg.f64 im) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im) #s(literal 2 binary64)) (-.f64 (*.f64 im im) (*.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im) (neg.f64 im))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) im) (-.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64)) im) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 (*.f64 im (-.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 im (fma.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64))) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im) #s(literal 2 binary64)) (*.f64 im im)) (-.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im) (neg.f64 im)))
(/.f64 (fma.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 re #s(literal 6 binary64)) (pow.f64 (neg.f64 im) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im) #s(literal 2 binary64)) (-.f64 (*.f64 im im) (*.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im) (neg.f64 im)))))
(fma.f64 (*.f64 im (*.f64 #s(literal 1/2 binary64) re)) re (neg.f64 im))
(fma.f64 (*.f64 im #s(literal 1/2 binary64)) (*.f64 re re) (neg.f64 im))
(fma.f64 (*.f64 im re) (*.f64 #s(literal 1/2 binary64) re) (neg.f64 im))
(fma.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im (neg.f64 im))
(fma.f64 #s(literal -1 binary64) im (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im))
(fma.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 re im) (neg.f64 im))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 re re) im) (neg.f64 im))
(fma.f64 re (*.f64 (*.f64 #s(literal 1/2 binary64) re) im) (neg.f64 im))
(fma.f64 im (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) (neg.f64 im))
(fma.f64 im #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im) (neg.f64 im))) (/.f64 (*.f64 im im) (-.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im) (neg.f64 im))))
(-.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im) (*.f64 (neg.f64 im) #s(literal -1 binary64)))
(-.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im) im)
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im) #s(literal 2 binary64)) (-.f64 (*.f64 im im) (*.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im) (neg.f64 im))))) (/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im) #s(literal 2 binary64)) (-.f64 (*.f64 im im) (*.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im) (neg.f64 im))))))
(+.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im) (neg.f64 im))
(+.f64 (neg.f64 im) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (pow.f64 (-.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))))))
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) re)) re) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) re)) re) (*.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) re)) re) (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) re)) re)))))
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(/.f64 (neg.f64 (*.f64 (*.f64 im im) (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/27 binary64)))) (neg.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) im) (*.f64 im #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/9 binary64)) (*.f64 im im)) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) im) im #s(literal 1/3 binary64)))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/27 binary64)) (*.f64 im im)) (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) im) (*.f64 im #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (*.f64 (*.f64 im im) (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/9 binary64))) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) im) im #s(literal 1/3 binary64)))
(/.f64 (*.f64 (*.f64 im im) (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/27 binary64))) (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) im) (*.f64 im #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))

eval88.0ms (0.8%)

Memory
1.7MiB live, 152.6MiB allocated; 27ms collecting garbage
Compiler

Compiled 17 793 to 2 053 computations (88.5% saved)

prune59.0ms (0.6%)

Memory
-23.3MiB live, 71.2MiB allocated; 4ms collecting garbage
Pruning

29 alts after pruning (21 fresh and 8 done)

PrunedKeptTotal
New3957402
Fresh21416
Picked145
Done044
Total39829427
Accuracy
100.0%
Counts
427 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.1%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))))
86.2%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
63.6%
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) #s(literal 1 binary64)))
57.0%
(*.f64 #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)))
55.8%
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
53.9%
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
55.3%
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
57.0%
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) (*.f64 im im)) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
54.4%
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 #s(approx (* (- (* -1/2520 (* im im)) 1/60) (* im im)) (*.f64 #s(literal -1/60 binary64) (*.f64 im im))) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
54.4%
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
49.9%
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) im) im) #s(literal 2 binary64)) im)))
22.1%
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 re) im) (*.f64 im im)) #s(literal 3 binary64)) #s(literal -1/216 binary64) (pow.f64 (*.f64 (neg.f64 im) (cos.f64 re)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (cos.f64 re)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (neg.f64 im) (cos.f64 re)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (cos.f64 re)) (*.f64 (neg.f64 im) (cos.f64 re)))))))
80.5%
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
53.3%
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
52.3%
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
51.3%
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 #s(approx (* (cos re) im) (fma.f64 (*.f64 im (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64))) (*.f64 re re) im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
49.9%
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im)))
45.9%
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (*.f64 (*.f64 (cos.f64 re) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 im im)) #s(literal 1/6 binary64))) (pow.f64 im #s(literal 3 binary64)))))
54.4%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 re) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 re) #s(literal -1 binary64)) (*.f64 (cos.f64 re) #s(literal -1 binary64)) (fma.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (*.f64 (cos.f64 re) #s(literal -1 binary64)) (*.f64 (sin.f64 re) #s(literal 0 binary64)))))) im))
54.5%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
36.5%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im))))
36.5%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (*.f64 re re) (neg.f64 im))))
37.1%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (*.f64 #s(literal 1/2 binary64) re)) re (neg.f64 im))))
34.0%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 im im) (neg.f64 im))))
37.1%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))
34.8%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re)))))
11.9%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64))))))
30.3%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
29.6%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) #s(approx (* im (+ (* (* 1/2 re) re) -1)) (*.f64 (*.f64 im (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) re) re) #s(literal -1/2 binary64))) (*.f64 re re)))))
Compiler

Compiled 2 432 to 980 computations (59.7% saved)

regimes78.0ms (0.7%)

Memory
22.0MiB live, 68.2MiB allocated; 2ms collecting garbage
Counts
45 → 1
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 im im) (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (*.f64 #s(literal 1/2 binary64) re)) re (neg.f64 im))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) im) im) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (*.f64 re re) (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im))))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re)))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) im) im) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 #s(approx (* (* (- (* -1/2520 (* im im)) 1/60) im) im) (*.f64 #s(literal -1/60 binary64) (*.f64 im im))) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 #s(approx (* (- (* -1/2520 (* im im)) 1/60) (* im im)) (*.f64 #s(literal -1/60 binary64) (*.f64 im im))) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) #s(approx (* im (+ (* (* 1/2 re) re) -1)) (*.f64 (*.f64 im (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) re) re) #s(literal -1/2 binary64))) (*.f64 re re)))))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 #s(approx (* (cos re) im) (fma.f64 (*.f64 im (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64))) (*.f64 re re) im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) (*.f64 im im)) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (cos re) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
(*.f64 (*.f64 #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (*.f64 (*.f64 (cos.f64 re) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 im im)) #s(literal 1/6 binary64))) (pow.f64 im #s(literal 3 binary64)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 re) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 re) #s(literal -1 binary64)) (*.f64 (cos.f64 re) #s(literal -1 binary64)) (fma.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (*.f64 (cos.f64 re) #s(literal -1 binary64)) (*.f64 (sin.f64 re) #s(literal 0 binary64)))))) im))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 re) im) (*.f64 im im)) #s(literal 3 binary64)) #s(literal -1/216 binary64) (pow.f64 (*.f64 (neg.f64 im) (cos.f64 re)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (cos.f64 re)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (neg.f64 im) (cos.f64 re)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (cos.f64 re)) (*.f64 (neg.f64 im) (cos.f64 re)))))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re)) (*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re)) (-.f64 (*.f64 (*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re)) (*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re))) (*.f64 (*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re)) (*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re)))))) #s(literal 1/2 binary64))
Outputs
(*.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64))
Calls

6 calls:

23.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
12.0ms
re
12.0ms
im
11.0ms
(cos.f64 re)
9.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
99.9%1(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
99.9%1(cos.f64 re)
99.9%1(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
99.9%1(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
99.9%1re
99.9%1im
Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes88.0ms (0.8%)

Memory
-23.3MiB live, 72.4MiB allocated; 6ms collecting garbage
Counts
38 → 3
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 im im) (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (*.f64 #s(literal 1/2 binary64) re)) re (neg.f64 im))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) im) im) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (*.f64 re re) (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im))))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re)))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) im) im) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 #s(approx (* (* (- (* -1/2520 (* im im)) 1/60) im) im) (*.f64 #s(literal -1/60 binary64) (*.f64 im im))) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 #s(approx (* (- (* -1/2520 (* im im)) 1/60) (* im im)) (*.f64 #s(literal -1/60 binary64) (*.f64 im im))) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) #s(approx (* im (+ (* (* 1/2 re) re) -1)) (*.f64 (*.f64 im (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) re) re) #s(literal -1/2 binary64))) (*.f64 re re)))))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 #s(approx (* (cos re) im) (fma.f64 (*.f64 im (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64))) (*.f64 re re) im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) (*.f64 im im)) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (cos re) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
(*.f64 (*.f64 #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)))
Outputs
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
Calls

6 calls:

35.0ms
re
15.0ms
(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
10.0ms
im
9.0ms
(cos.f64 re)
9.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
Results
AccuracySegmentsBranch
90.3%1(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
95.5%2(cos.f64 re)
95.5%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
99.9%3(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
95.5%2re
98.3%3im
Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes9.0ms (0.1%)

Memory
11.2MiB live, 11.2MiB allocated; 0ms collecting garbage
Counts
35 → 3
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 im im) (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (*.f64 #s(literal 1/2 binary64) re)) re (neg.f64 im))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) im) im) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (*.f64 re re) (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im))))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re)))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) im) im) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 #s(approx (* (* (- (* -1/2520 (* im im)) 1/60) im) im) (*.f64 #s(literal -1/60 binary64) (*.f64 im im))) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 #s(approx (* (- (* -1/2520 (* im im)) 1/60) (* im im)) (*.f64 #s(literal -1/60 binary64) (*.f64 im im))) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) #s(approx (* im (+ (* (* 1/2 re) re) -1)) (*.f64 (*.f64 im (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) re) re) #s(literal -1/2 binary64))) (*.f64 re re)))))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 #s(approx (* (cos re) im) (fma.f64 (*.f64 im (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64))) (*.f64 re re) im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) (*.f64 im im)) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (cos re) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
(*.f64 (*.f64 #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64))
Outputs
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) #s(literal 1 binary64)))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
Calls

1 calls:

7.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
99.8%3(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes8.0ms (0.1%)

Memory
10.6MiB live, 10.6MiB allocated; 0ms collecting garbage
Counts
32 → 3
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 im im) (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (*.f64 #s(literal 1/2 binary64) re)) re (neg.f64 im))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) im) im) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (*.f64 re re) (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im))))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re)))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) im) im) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 #s(approx (* (* (- (* -1/2520 (* im im)) 1/60) im) im) (*.f64 #s(literal -1/60 binary64) (*.f64 im im))) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 #s(approx (* (- (* -1/2520 (* im im)) 1/60) (* im im)) (*.f64 #s(literal -1/60 binary64) (*.f64 im im))) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) #s(approx (* im (+ (* (* 1/2 re) re) -1)) (*.f64 (*.f64 im (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) re) re) #s(literal -1/2 binary64))) (*.f64 re re)))))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 #s(approx (* (cos re) im) (fma.f64 (*.f64 im (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64))) (*.f64 re re) im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) (*.f64 im im)) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (cos re) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64))
Outputs
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) #s(literal 1 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
Calls

1 calls:

6.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
99.7%3(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes75.0ms (0.7%)

Memory
-1.4MiB live, 44.9MiB allocated; 2ms collecting garbage
Counts
30 → 3
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 im im) (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (*.f64 #s(literal 1/2 binary64) re)) re (neg.f64 im))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) im) im) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (*.f64 re re) (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im))))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re)))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) im) im) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 #s(approx (* (* (- (* -1/2520 (* im im)) 1/60) im) im) (*.f64 #s(literal -1/60 binary64) (*.f64 im im))) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 #s(approx (* (- (* -1/2520 (* im im)) 1/60) (* im im)) (*.f64 #s(literal -1/60 binary64) (*.f64 im im))) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) #s(approx (* im (+ (* (* 1/2 re) re) -1)) (*.f64 (*.f64 im (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) re) re) #s(literal -1/2 binary64))) (*.f64 re re)))))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 #s(approx (* (cos re) im) (fma.f64 (*.f64 im (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64))) (*.f64 re re) im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) (*.f64 im im)) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
Outputs
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
Calls

5 calls:

44.0ms
im
8.0ms
re
7.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
7.0ms
(cos.f64 re)
6.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
72.3%2re
72.7%2(cos.f64 re)
72.7%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
83.2%2im
94.1%3(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Compiler

Compiled 20 to 23 computations (-15% saved)

regimes68.0ms (0.6%)

Memory
13.6MiB live, 60.0MiB allocated; 2ms collecting garbage
Counts
29 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 im im) (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (*.f64 #s(literal 1/2 binary64) re)) re (neg.f64 im))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) im) im) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (*.f64 re re) (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im))))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re)))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) im) im) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 #s(approx (* (* (- (* -1/2520 (* im im)) 1/60) im) im) (*.f64 #s(literal -1/60 binary64) (*.f64 im im))) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 #s(approx (* (- (* -1/2520 (* im im)) 1/60) (* im im)) (*.f64 #s(literal -1/60 binary64) (*.f64 im im))) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) #s(approx (* im (+ (* (* 1/2 re) re) -1)) (*.f64 (*.f64 im (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) re) re) #s(literal -1/2 binary64))) (*.f64 re re)))))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 #s(approx (* (cos re) im) (fma.f64 (*.f64 im (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64))) (*.f64 re re) im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) (*.f64 im im)) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
Outputs
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
Calls

6 calls:

32.0ms
im
8.0ms
re
7.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
7.0ms
(cos.f64 re)
6.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
59.5%2re
69.4%2(cos.f64 re)
69.4%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
59.6%2im
59.6%2(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
69.5%2(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes83.0ms (0.8%)

Memory
-29.1MiB live, 20.6MiB allocated; 7ms collecting garbage
Counts
25 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 im im) (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (*.f64 #s(literal 1/2 binary64) re)) re (neg.f64 im))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) im) im) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (*.f64 re re) (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im))))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re)))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) im) im) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 #s(approx (* (* (- (* -1/2520 (* im im)) 1/60) im) im) (*.f64 #s(literal -1/60 binary64) (*.f64 im im))) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 #s(approx (* (- (* -1/2520 (* im im)) 1/60) (* im im)) (*.f64 #s(literal -1/60 binary64) (*.f64 im im))) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) #s(approx (* im (+ (* (* 1/2 re) re) -1)) (*.f64 (*.f64 im (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) re) re) #s(literal -1/2 binary64))) (*.f64 re re)))))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 #s(approx (* (cos re) im) (fma.f64 (*.f64 im (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64))) (*.f64 re re) im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) (*.f64 im im)) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
Outputs
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
Calls

3 calls:

68.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
7.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
6.0ms
(cos.f64 re)
Results
AccuracySegmentsBranch
68.8%2(cos.f64 re)
68.8%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
68.7%2(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Compiler

Compiled 18 to 19 computations (-5.6% saved)

regimes17.0ms (0.2%)

Memory
24.4MiB live, 24.4MiB allocated; 0ms collecting garbage
Counts
21 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 im im) (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (*.f64 #s(literal 1/2 binary64) re)) re (neg.f64 im))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) im) im) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (*.f64 re re) (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im))))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re)))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) im) im) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 #s(approx (* (* (- (* -1/2520 (* im im)) 1/60) im) im) (*.f64 #s(literal -1/60 binary64) (*.f64 im im))) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 #s(approx (* (- (* -1/2520 (* im im)) 1/60) (* im im)) (*.f64 #s(literal -1/60 binary64) (*.f64 im im))) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) #s(approx (* im (+ (* (* 1/2 re) re) -1)) (*.f64 (*.f64 im (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) re) re) #s(literal -1/2 binary64))) (*.f64 re re)))))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 #s(approx (* (cos re) im) (fma.f64 (*.f64 im (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64))) (*.f64 re re) im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
Outputs
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
Calls

3 calls:

5.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
5.0ms
(cos.f64 re)
4.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
66.1%2(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
66.2%2(cos.f64 re)
66.2%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
Compiler

Compiled 18 to 19 computations (-5.6% saved)

regimes24.0ms (0.2%)

Memory
-18.9MiB live, 26.7MiB allocated; 3ms collecting garbage
Counts
19 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 im im) (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (*.f64 #s(literal 1/2 binary64) re)) re (neg.f64 im))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) im) im) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (*.f64 re re) (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im))))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re)))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) im) im) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 #s(approx (* (* (- (* -1/2520 (* im im)) 1/60) im) im) (*.f64 #s(literal -1/60 binary64) (*.f64 im im))) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 #s(approx (* (- (* -1/2520 (* im im)) 1/60) (* im im)) (*.f64 #s(literal -1/60 binary64) (*.f64 im im))) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) #s(approx (* im (+ (* (* 1/2 re) re) -1)) (*.f64 (*.f64 im (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) re) re) #s(literal -1/2 binary64))) (*.f64 re re)))))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 #s(approx (* (cos re) im) (fma.f64 (*.f64 im (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64))) (*.f64 re re) im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
Outputs
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
Calls

3 calls:

5.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
5.0ms
(cos.f64 re)
4.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
65.8%2(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
65.8%2(cos.f64 re)
65.8%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
Compiler

Compiled 18 to 19 computations (-5.6% saved)

regimes12.0ms (0.1%)

Memory
21.3MiB live, 21.3MiB allocated; 0ms collecting garbage
Counts
14 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 im im) (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (*.f64 #s(literal 1/2 binary64) re)) re (neg.f64 im))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) im) im) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (*.f64 re re) (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im))))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re)))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) im) im) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
Outputs
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im)))
Calls

3 calls:

4.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
4.0ms
(cos.f64 re)
3.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
61.3%2(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
61.4%2(cos.f64 re)
61.4%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
Compiler

Compiled 18 to 19 computations (-5.6% saved)

regimes23.0ms (0.2%)

Memory
-23.0MiB live, 23.2MiB allocated; 2ms collecting garbage
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 im im) (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (*.f64 #s(literal 1/2 binary64) re)) re (neg.f64 im))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) im) im) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (*.f64 re re) (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im))))
Outputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (*.f64 #s(literal 1/2 binary64) re)) re (neg.f64 im))))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im)))
Calls

5 calls:

11.0ms
(cos.f64 re)
3.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
3.0ms
im
2.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
2.0ms
(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
Results
AccuracySegmentsBranch
49.9%1(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
49.9%1im
59.5%2(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
59.5%2(cos.f64 re)
59.5%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
Compiler

Compiled 26 to 28 computations (-7.7% saved)

regimes4.0ms (0%)

Memory
6.7MiB live, 6.7MiB allocated; 0ms collecting garbage
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 im im) (neg.f64 im))))
Outputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im)))
Calls

2 calls:

2.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
2.0ms
(cos.f64 re)
Results
AccuracySegmentsBranch
59.5%2(cos.f64 re)
59.5%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
Compiler

Compiled 6 to 8 computations (-33.3% saved)

regimes9.0ms (0.1%)

Memory
18.8MiB live, 18.8MiB allocated; 0ms collecting garbage
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))
Outputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
Calls

6 calls:

2.0ms
im
2.0ms
re
1.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
1.0ms
(cos.f64 re)
1.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
39.2%2(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
39.2%2im
37.1%1re
39.8%2(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
39.9%2(cos.f64 re)
39.9%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes3.0ms (0%)

Memory
6.3MiB live, 6.3MiB allocated; 0ms collecting garbage
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64))))))
Outputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
Calls

2 calls:

1.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
1.0ms
(cos.f64 re)
Results
AccuracySegmentsBranch
39.9%2(cos.f64 re)
39.9%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
Compiler

Compiled 6 to 8 computations (-33.3% saved)

regimes22.0ms (0.2%)

Memory
-31.2MiB live, 14.3MiB allocated; 4ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
Outputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
Calls

6 calls:

16.0ms
(cos.f64 re)
1.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
1.0ms
im
1.0ms
re
1.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
30.3%1re
30.3%1(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
30.3%1im
30.3%1(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
30.3%1(cos.f64 re)
30.3%1(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
Compiler

Compiled 27 to 30 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0048212933814033455
+inf
0.0ms
-inf
-1.6881513062334544e-9
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
0.0048212933814033455
+inf
0.0ms
-inf
-1.6881513062334544e-9
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0048212933814033455
+inf
0.0ms
-inf
-1.6881513062334544e-9
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
0.0048212933814033455
+inf
0.0ms
-inf
-1.6881513062334544e-9
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
0.0
0.0048212933814033455
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
-0.03308692435232391
0.028752013485688926
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.03308692435232391
0.028752013485688926
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
-0.03308692435232391
0.028752013485688926
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.03308692435232391
0.028752013485688926
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.03308692435232391
0.028752013485688926
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.03308692435232391
0.028752013485688926
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
-0.03308692435232391
0.028752013485688926
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
-0.03308692435232391
0.028752013485688926
Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify63.0ms (0.6%)

Memory
-2.7MiB live, 47.8MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01471067
12311067
24321067
311241044
439191044
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) #s(literal 1 binary64))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 5764607523034235/1152921504606846976 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) #s(literal 1 binary64))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 5764607523034235/1152921504606846976 binary64)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) #s(literal 1 binary64))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 5764607523034235/1152921504606846976 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 5764607523034235/1152921504606846976 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 0 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))))
(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))) (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))))
(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))) (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))))
(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))))
(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im))))
(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (*.f64 #s(literal 1/2 binary64) re)) re (neg.f64 im)))) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im))))
(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im))))
(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))))
(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
Outputs
(*.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) #s(literal 1 binary64))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 5764607523034235/1152921504606846976 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) #s(literal 1 binary64))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 5764607523034235/1152921504606846976 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) #s(literal 1 binary64))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 5764607523034235/1152921504606846976 binary64)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) #s(literal 1 binary64))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 5764607523034235/1152921504606846976 binary64)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) #s(literal 1 binary64))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 5764607523034235/1152921504606846976 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) #s(literal 1 binary64))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 5764607523034235/1152921504606846976 binary64)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (neg.f64 (cos.f64 re)) im)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 5764607523034235/1152921504606846976 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 5764607523034235/1152921504606846976 binary64)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (neg.f64 (cos.f64 re)) im)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 0 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 0 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))))
(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))) (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))))
(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))) (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))))
(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))))
(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im))))
(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (*.f64 #s(literal 1/2 binary64) re)) re (neg.f64 im)))) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im))))
(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (*.f64 #s(literal 1/2 binary64) re)) re (neg.f64 im)))) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im))))
(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im))))
(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im))))
(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))))
(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (neg (cos re)) im) (neg.f64 im))))
(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))))
(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (neg (cos re)) im) (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (neg (cos re)) im) (neg.f64 im)))

derivations1.5s (14.8%)

Memory
25.4MiB live, 1 049.0MiB allocated; 302ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0126381
1387349
21286341
35237320
08363297
064403
099396
1341389
21935389
08465389
03041347
110081187
240501112
082711049
0242982
1716872
22564849
36831848
08176817
01130
01827
16427
242025
0500125
060301
088296
1280279
21716279
08434279
02561089
1822927
23185893
37528893
08020849
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 1 066 to 150 computations (85.9% saved)

preprocess166.0ms (1.6%)

Memory
16.2MiB live, 245.4MiB allocated; 39ms collecting garbage
Remove

(abs re)

Compiler

Compiled 3 488 to 1 100 computations (68.5% saved)

end0.0ms (0%)

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

Profiling

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