math.sin on complex, imaginary part

Time bar (total: 10.7s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB 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)

sample2.7s (24.7%)

Memory
119.9MiB live, 3 487.9MiB allocated; 689ms collecting garbage
Samples
906.0ms1 617×2valid
653.0ms4 256×0valid
612.0ms2 383×1valid
Precisions
Click to see histograms. Total time spent on operations: 1.8s
ival-exp: 851.0ms (47.1% of total)
ival-cos: 299.0ms (16.6% of total)
ival-mult: 239.0ms (13.2% of total)
adjust: 213.0ms (11.8% of total)
ival-sub: 185.0ms (10.2% of total)
exact: 9.0ms (0.5% of total)
ival-true: 6.0ms (0.3% of total)
ival-assert: 4.0ms (0.2% of total)
Bogosity

explain255.0ms (2.4%)

Memory
15.8MiB live, 245.6MiB allocated; 62ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1160-1(1.8253158078186113e+219 0.009370437176943747)(-.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)
01(-5.715070203242863e+205 -308.2847589629082)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))cancellation1151
exp.f64(exp.f64 (-.f64 #s(literal 0 binary64) im))sensitivity10
Confusion
Predicted +Predicted -
+1151
-1139
Precision
0.9913793103448276
Recall
0.9913793103448276
Confusion?
Predicted +Predicted MaybePredicted -
+11510
-10139
Precision?
0.9914529914529915
Recall?
1.0
Freqs
test
numberfreq
0140
1116
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
75.0ms146×1valid
42.0ms84×2valid
26.0ms282×0valid
Compiler

Compiled 92 to 37 computations (59.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 121.0ms
adjust: 52.0ms (43.1% of total)
ival-exp: 41.0ms (34% of total)
ival-cos: 12.0ms (10% of total)
ival-mult: 8.0ms (6.6% of total)
ival-sub: 6.0ms (5% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess175.0ms (1.6%)

Memory
-0.5MiB live, 141.3MiB allocated; 55ms collecting garbage
Algorithm
egg-herbie
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
0.2MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.7%
(*.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)

simplify242.0ms (2.2%)

Memory
-28.7MiB live, 141.8MiB allocated; 153ms collecting garbage
Algorithm
egg-herbie
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)

localize113.0ms (1%)

Memory
-0.6MiB live, 145.6MiB allocated; 21ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(exp.f64 im)
accuracy0.0
(cos.f64 re)
accuracy0.05078125
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
accuracy27.085559786106163
(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
Samples
37.0ms42×2valid
35.0ms141×0valid
16.0ms73×1valid
Compiler

Compiled 40 to 13 computations (67.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 76.0ms
ival-exp: 37.0ms (48.8% of total)
ival-sub: 24.0ms (31.7% of total)
ival-cos: 6.0ms (7.9% of total)
adjust: 4.0ms (5.3% of total)
ival-mult: 4.0ms (5.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series33.0ms (0.3%)

Memory
-9.0MiB live, 42.1MiB allocated; 10ms 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
21.0ms
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))
2.0ms
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))
2.0ms
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))
2.0ms
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))
2.0ms
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))

simplify252.0ms (2.3%)

Memory
11.8MiB live, 323.9MiB allocated; 48ms collecting garbage
Algorithm
egg-herbie
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)))

rewrite309.0ms (2.9%)

Memory
-42.1MiB live, 268.3MiB allocated; 60ms 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))))
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(-.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (-.f64 #s(literal 0 binary64) (sinh.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))

eval58.0ms (0.5%)

Memory
-0.5MiB live, 45.5MiB allocated; 3ms collecting garbage
Compiler

Compiled 5 110 to 871 computations (83% saved)

prune9.0ms (0.1%)

Memory
19.1MiB live, 19.1MiB allocated; 0ms collecting garbage
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1978205
Fresh000
Picked101
Done000
Total1988206
Accuracy
99.9%
Counts
206 → 8
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))
57.7%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
46.7%
(*.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))))))
92.7%
(*.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)))
87.6%
(*.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)))
79.8%
(*.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)))
41.9%
#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)))
48.1%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
Compiler

Compiled 356 to 272 computations (23.6% saved)

simplify114.0ms (1.1%)

Memory
13.4MiB live, 147.9MiB allocated; 18ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 re)
cost-diff0
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
cost-diff4
(*.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))))))
cost-diff24
(*.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)))))
cost-diff0
(exp.f64 (neg.f64 im))
cost-diff0
#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)))
cost-diff1
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
cost-diff4
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
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
(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
046358
075300
1151296
2392292
31552275
08637275
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 (-.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)
#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 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)
#s(literal 1/2 binary64)
(*.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))))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(cos.f64 re)
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)))))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))
(*.f64 #s(literal 2 binary64) (cosh.f64 im))
#s(literal 2 binary64)
(cosh.f64 im)
im
(exp.f64 im)
(pow.f64 (exp.f64 im) #s(literal -2 binary64))
#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))))
(*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))
(sinh.f64 (neg.f64 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))
(*.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))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 im) (cos.f64 re)))
(*.f64 (neg.f64 (cos.f64 re)) im)
(*.f64 (neg.f64 im) (cos.f64 re))
(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 (-.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 (*.f64 im im) #s(literal -1/60 binary64)) #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))
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/60 binary64)) #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 (*.f64 (*.f64 im im) #s(literal -1/60 binary64)) #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 (*.f64 (*.f64 im im) #s(literal -1/60 binary64)) #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 (*.f64 (*.f64 im im) #s(literal -1/60 binary64)) #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 (*.f64 (*.f64 im im) #s(literal -1/60 binary64)) #s(literal 1/3 binary64)) im)
(-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64))
(-.f64 (*.f64 (*.f64 im im) #s(literal -1/60 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal -1/60 binary64) (*.f64 im im))
(*.f64 (*.f64 im im) #s(literal -1/60 binary64))
#s(literal -1/60 binary64)
(*.f64 im im)
im
#s(literal 1/3 binary64)
#s(literal 2 binary64)
#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)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(sinh.f64 (neg.f64 im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(*.f64 (sinh.f64 (neg.f64 im)) #s(literal 2 binary64))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)
#s(literal 1/2 binary64)
(*.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))))))
(*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(cos.f64 re)
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)))))
(*.f64 (sinh.f64 (neg.f64 im)) #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))
(fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))
(*.f64 #s(literal 2 binary64) (cosh.f64 im))
(*.f64 (cosh.f64 im) #s(literal 2 binary64))
#s(literal 2 binary64)
(cosh.f64 im)
im
(exp.f64 im)
(pow.f64 (exp.f64 im) #s(literal -2 binary64))
#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))))
(/.f64 (*.f64 (sinh.f64 (neg.f64 im)) #s(literal 2 binary64)) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))
(*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))
(*.f64 (sinh.f64 (neg.f64 im)) #s(literal 2 binary64))
(sinh.f64 (neg.f64 im))
(neg.f64 im)

localize211.0ms (2%)

Memory
28.0MiB live, 405.4MiB allocated; 45ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.026386279305326048
(pow.f64 (exp.f64 im) #s(literal -2 binary64))
accuracy0.05078125
(*.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))))))
accuracy0.9882757458832558
(/.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))))
accuracy1.0703042433208232
(*.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)))))
accuracy0.0
(exp.f64 (neg.f64 im))
accuracy0.0
(exp.f64 im)
accuracy13.69643106216088
#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)))
accuracy27.085559786106163
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
accuracy0.05859375
(*.f64 #s(literal -1/60 binary64) (*.f64 im im))
accuracy0.08203125
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im)
accuracy0.16015625
(*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im)
accuracy1.6055920253938556
#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))
accuracy0.0
(neg.f64 (cos.f64 re))
accuracy0.0
(cos.f64 re)
accuracy0.05078125
(*.f64 (neg.f64 (cos.f64 re)) im)
accuracy1.9220164214548472
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
accuracy0.0
(neg.f64 im)
accuracy0.0
(cos.f64 re)
accuracy0.0078125
(sinh.f64 (neg.f64 im))
accuracy0.05078125
(*.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))))
Samples
60.0ms73×1valid
56.0ms132×0exit
55.0ms42×2valid
5.0ms0valid
Compiler

Compiled 319 to 42 computations (86.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 139.0ms
ival-mult: 36.0ms (25.8% of total)
ival-exp: 31.0ms (22.2% of total)
ival-sub: 18.0ms (12.9% of total)
adjust: 17.0ms (12.2% of total)
const: 11.0ms (7.9% of total)
ival-pow: 7.0ms (5% of total)
ival-cos: 6.0ms (4.3% of total)
ival-cosh: 4.0ms (2.9% of total)
ival-div: 3.0ms (2.2% of total)
ival-add: 2.0ms (1.4% of total)
ival-neg: 2.0ms (1.4% of total)
ival-sinh: 2.0ms (1.4% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series40.0ms (0.4%)

Memory
-20.0MiB live, 69.0MiB allocated; 17ms collecting garbage
Counts
24 → 85
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 (-.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(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 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 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)))
(exp.f64 (neg.f64 im))
(*.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)))))
(*.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))))))
(sinh.f64 (neg.f64 im))
(neg.f64 im)
(*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im)
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im)
(*.f64 #s(literal -1/60 binary64) (*.f64 im im))
(exp.f64 im)
(/.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))))
(pow.f64 (exp.f64 im) #s(literal -2 binary64))
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 (* -1 im))
(+ 1 (* im (- (* 1/2 im) 1)))
(+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1)))
(* -1/3 im)
(* im (- (* -1/60 (pow im 2)) 1/3))
(* -1/3 (pow im 2))
(* (pow im 2) (- (* -1/60 (pow im 2)) 1/3))
(* -1/60 (pow im 2))
(+ 1 im)
(+ 1 (* im (+ 1 (* 1/2 im))))
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))
(* -2/3 im)
(* im (- (* 7/9 (pow im 2)) 2/3))
(* im (- (* (pow im 2) (+ 7/9 (* -403/540 (pow im 2)))) 2/3))
(* im (- (* (pow im 2) (+ 7/9 (* (pow im 2) (- (* 5207/7560 (pow im 2)) 403/540)))) 2/3))
(+ 1 (* -2 im))
(+ 1 (* im (- (* 2 im) 2)))
(+ 1 (* im (- (* im (+ 2 (* -4/3 im))) 2)))
(- (exp (neg im)) (exp im))
(exp (neg im))
(* -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))))))
(exp im)
(/ (- (exp (neg im)) (/ 1 (exp (neg im)))) (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2))))
(/ 1 (pow (exp 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)) (exp im)))
(exp (* -1 im))
(* 1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))
(/ (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))) (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2))))
Calls

6 calls:

TimeVariablePointExpression
14.0ms
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)) (* (- (exp (neg im)) (exp im)) 1/2) (- (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (exp (neg im)) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)))) (* (* 1/2 (cos re)) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))))) (sinh (neg im)) (neg im) (* (- (* -1/60 (* im im)) 1/3) im) (* (* (- (* -1/60 (* im im)) 1/3) im) im) (* -1/60 (* im im)) (exp im) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (pow (exp im) -2))
7.0ms
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)) (* (- (exp (neg im)) (exp im)) 1/2) (- (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (exp (neg im)) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)))) (* (* 1/2 (cos re)) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))))) (sinh (neg im)) (neg im) (* (- (* -1/60 (* im im)) 1/3) im) (* (* (- (* -1/60 (* im im)) 1/3) im) im) (* -1/60 (* im im)) (exp im) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (pow (exp im) -2))
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)) (* (- (exp (neg im)) (exp im)) 1/2) (- (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (exp (neg im)) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)))) (* (* 1/2 (cos re)) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))))) (sinh (neg im)) (neg im) (* (- (* -1/60 (* im im)) 1/3) im) (* (* (- (* -1/60 (* im im)) 1/3) im) im) (* -1/60 (* im im)) (exp im) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (pow (exp im) -2))
3.0ms
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)) (* (- (exp (neg im)) (exp im)) 1/2) (- (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (exp (neg im)) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)))) (* (* 1/2 (cos re)) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))))) (sinh (neg im)) (neg im) (* (- (* -1/60 (* im im)) 1/3) im) (* (* (- (* -1/60 (* im im)) 1/3) im) im) (* -1/60 (* im im)) (exp im) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (pow (exp im) -2))
2.0ms
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)) (* (- (exp (neg im)) (exp im)) 1/2) (- (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (exp (neg im)) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)))) (* (* 1/2 (cos re)) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))))) (sinh (neg im)) (neg im) (* (- (* -1/60 (* im im)) 1/3) im) (* (* (- (* -1/60 (* im im)) 1/3) im) im) (* -1/60 (* im im)) (exp im) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (pow (exp im) -2))

simplify215.0ms (2%)

Memory
-4.1MiB live, 241.7MiB allocated; 61ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02991187
19391012
23446976
37902976
08001918
Stop Event
iter limit
node limit
Counts
85 → 85
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 (* -1 im))
(+ 1 (* im (- (* 1/2 im) 1)))
(+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1)))
(* -1/3 im)
(* im (- (* -1/60 (pow im 2)) 1/3))
(* -1/3 (pow im 2))
(* (pow im 2) (- (* -1/60 (pow im 2)) 1/3))
(* -1/60 (pow im 2))
(+ 1 im)
(+ 1 (* im (+ 1 (* 1/2 im))))
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))
(* -2/3 im)
(* im (- (* 7/9 (pow im 2)) 2/3))
(* im (- (* (pow im 2) (+ 7/9 (* -403/540 (pow im 2)))) 2/3))
(* im (- (* (pow im 2) (+ 7/9 (* (pow im 2) (- (* 5207/7560 (pow im 2)) 403/540)))) 2/3))
(+ 1 (* -2 im))
(+ 1 (* im (- (* 2 im) 2)))
(+ 1 (* im (- (* im (+ 2 (* -4/3 im))) 2)))
(- (exp (neg im)) (exp im))
(exp (neg im))
(* -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))))))
(exp im)
(/ (- (exp (neg im)) (/ 1 (exp (neg im)))) (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2))))
(/ 1 (pow (exp 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)) (exp im)))
(exp (* -1 im))
(* 1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))
(/ (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))) (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2))))
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 #s(literal -1/6 binary64) im) im #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 #s(literal -1/6 binary64) im) im #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 (* -1 im))
(-.f64 #s(literal 1 binary64) im)
(+ 1 (* im (- (* 1/2 im) 1)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)) im #s(literal 1 binary64))
(+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1)))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) im) #s(literal 1 binary64)) im #s(literal 1 binary64))
(* -1/3 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)
(* -1/3 (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)
(* -1/60 (pow im 2))
(*.f64 #s(literal -1/60 binary64) (*.f64 im 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))
(* -2/3 im)
(*.f64 #s(literal -2/3 binary64) im)
(* im (- (* 7/9 (pow im 2)) 2/3))
(*.f64 (-.f64 (*.f64 #s(literal 7/9 binary64) (*.f64 im im)) #s(literal 2/3 binary64)) im)
(* im (- (* (pow im 2) (+ 7/9 (* -403/540 (pow im 2)))) 2/3))
(*.f64 (fma.f64 (*.f64 #s(literal 7/9 binary64) im) im (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -403/540 binary64)) #s(literal 2/3 binary64))) im)
(* im (- (* (pow im 2) (+ 7/9 (* (pow im 2) (- (* 5207/7560 (pow im 2)) 403/540)))) 2/3))
(*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 5207/7560 binary64) (*.f64 im im)) #s(literal 403/540 binary64)) (-.f64 (*.f64 #s(literal 7/9 binary64) (*.f64 im im)) #s(literal 2/3 binary64))) im)
(+ 1 (* -2 im))
(fma.f64 #s(literal -2 binary64) im #s(literal 1 binary64))
(+ 1 (* im (- (* 2 im) 2)))
(fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 2 binary64)) im #s(literal 1 binary64))
(+ 1 (* im (- (* im (+ 2 (* -4/3 im))) 2)))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) im #s(literal 2 binary64)) im) #s(literal 2 binary64)) im #s(literal 1 binary64))
(- (exp (neg im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp (neg im))
(exp.f64 (neg.f64 im))
(* -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)))
(exp im)
(exp.f64 im)
(/ (- (exp (neg im)) (/ 1 (exp (neg im)))) (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2))))
(/.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (+.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) (exp.f64 (*.f64 #s(literal -2 binary64) im))))
(/ 1 (pow (exp im) 2))
(exp.f64 (*.f64 #s(literal -2 binary64) im))
(* 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)) (exp im)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(exp (* -1 im))
(exp.f64 (neg.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))
(/ (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))) (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2))))
(/.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (+.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) (exp.f64 (*.f64 #s(literal -2 binary64) im))))

rewrite243.0ms (2.3%)

Memory
5.5MiB live, 382.0MiB allocated; 52ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
046260
075202
1243177
21508177
08571177
Stop Event
iter limit
node limit
iter limit
Counts
24 → 1 043
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 (-.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(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 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 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)))
(exp.f64 (neg.f64 im))
(*.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)))))
(*.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))))))
(sinh.f64 (neg.f64 im))
(neg.f64 im)
(*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im)
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im)
(*.f64 #s(literal -1/60 binary64) (*.f64 im im))
(exp.f64 im)
(/.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))))
(pow.f64 (exp.f64 im) #s(literal -2 binary64))
Outputs
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (cosh.f64 im)) (/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 (cosh.f64 (/.f64 (*.f64 #s(literal -2 binary64) im) #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 (cosh.f64 (/.f64 (fma.f64 #s(literal -1 binary64) im im) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 im) im) #s(literal 2 binary64))))))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 (cosh.f64 (/.f64 (+.f64 im (neg.f64 im)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 im (neg.f64 im)) #s(literal 2 binary64))))))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 (cosh.f64 (/.f64 (+.f64 im im) #s(literal 2 binary64))) #s(literal 1 binary64))))
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(-.f64 (/.f64 (sinh.f64 (neg.f64 im)) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (*.f64 (neg.f64 (/.f64 (sinh.f64 (neg.f64 im)) (+.f64 (pow.f64 (exp.f64 im) #s(literal -6 binary64)) (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 3 binary64))))) (fma.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64))) (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) (/.f64 (neg.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (/.f64 (*.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (/.f64 (neg.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))) (fma.f64 (*.f64 (exp.f64 im) #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)) (/.f64 (neg.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (/.f64 (*.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) (/.f64 (neg.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
(+.f64 (/.f64 (*.f64 (/.f64 (neg.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (/.f64 (*.f64 (/.f64 (neg.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
(+.f64 (/.f64 (*.f64 (/.f64 (neg.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (/.f64 (*.f64 (/.f64 (neg.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
(+.f64 (/.f64 (cosh.f64 im) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (/.f64 (-.f64 (sinh.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
(+.f64 (/.f64 (sinh.f64 (neg.f64 im)) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (/.f64 (sinh.f64 (neg.f64 im)) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
(*.f64 (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 1 binary64)) (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 (exp.f64 (neg.f64 im)))) (neg.f64 (neg.f64 (exp.f64 (neg.f64 im)))))
(*.f64 (pow.f64 (neg.f64 (exp.f64 im)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (exp.f64 im)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (exp.f64 (neg.f64 im))) (neg.f64 (exp.f64 (neg.f64 im))))
(*.f64 (exp.f64 (neg.f64 im)) (exp.f64 (neg.f64 im)))
(pow.f64 (exp.f64 #s(literal -2 binary64)) im)
(pow.f64 (neg.f64 (exp.f64 (neg.f64 im))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 im) #s(literal -2 binary64))
(pow.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (cosh.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (cosh.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 (*.f64 (sinh.f64 (neg.f64 im)) (exp.f64 (neg.f64 im))) (*.f64 (sinh.f64 (neg.f64 im)) (exp.f64 (neg.f64 im))))) (-.f64 (*.f64 (cosh.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (sinh.f64 (neg.f64 im)) (exp.f64 (neg.f64 im)))))
(/.f64 (-.f64 (*.f64 (*.f64 (exp.f64 (neg.f64 im)) (cosh.f64 im)) (*.f64 (exp.f64 (neg.f64 im)) (cosh.f64 im))) (*.f64 (*.f64 (exp.f64 (neg.f64 im)) (sinh.f64 (neg.f64 im))) (*.f64 (exp.f64 (neg.f64 im)) (sinh.f64 (neg.f64 im))))) (-.f64 (*.f64 (exp.f64 (neg.f64 im)) (cosh.f64 im)) (*.f64 (exp.f64 (neg.f64 im)) (sinh.f64 (neg.f64 im)))))
(/.f64 (-.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) im)) (cosh.f64 (*.f64 #s(literal -2 binary64) im))) (*.f64 (sinh.f64 (*.f64 #s(literal -2 binary64) im)) (sinh.f64 (*.f64 #s(literal -2 binary64) im)))) (-.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) im)) (sinh.f64 (*.f64 #s(literal -2 binary64) im))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cosh.f64 im) (exp.f64 (neg.f64 im))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sinh.f64 (neg.f64 im)) (exp.f64 (neg.f64 im))) #s(literal 3 binary64))) (fma.f64 (*.f64 (cosh.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (cosh.f64 im) (exp.f64 (neg.f64 im))) (-.f64 (*.f64 (*.f64 (sinh.f64 (neg.f64 im)) (exp.f64 (neg.f64 im))) (*.f64 (sinh.f64 (neg.f64 im)) (exp.f64 (neg.f64 im)))) (*.f64 (*.f64 (cosh.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (sinh.f64 (neg.f64 im)) (exp.f64 (neg.f64 im)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 (neg.f64 im)) (cosh.f64 im)) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 (neg.f64 im)) (sinh.f64 (neg.f64 im))) #s(literal 3 binary64))) (fma.f64 (*.f64 (exp.f64 (neg.f64 im)) (cosh.f64 im)) (*.f64 (exp.f64 (neg.f64 im)) (cosh.f64 im)) (-.f64 (*.f64 (*.f64 (exp.f64 (neg.f64 im)) (sinh.f64 (neg.f64 im))) (*.f64 (exp.f64 (neg.f64 im)) (sinh.f64 (neg.f64 im)))) (*.f64 (*.f64 (exp.f64 (neg.f64 im)) (cosh.f64 im)) (*.f64 (exp.f64 (neg.f64 im)) (sinh.f64 (neg.f64 im)))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) im)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 #s(literal -2 binary64) im)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) im)) (cosh.f64 (*.f64 #s(literal -2 binary64) im)) (-.f64 (*.f64 (sinh.f64 (*.f64 #s(literal -2 binary64) im)) (sinh.f64 (*.f64 #s(literal -2 binary64) im))) (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) im)) (sinh.f64 (*.f64 #s(literal -2 binary64) im))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))) (neg.f64 (exp.f64 im)))
(/.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1 binary64))) (neg.f64 (exp.f64 im)))
(/.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))) (exp.f64 im))
(/.f64 (fabs.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1 binary64))) (exp.f64 im))
(/.f64 (*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im))) (exp.f64 im))
(/.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1 binary64)) (exp.f64 im))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))
(fma.f64 (cosh.f64 im) (exp.f64 (neg.f64 im)) (*.f64 (sinh.f64 (neg.f64 im)) (exp.f64 (neg.f64 im))))
(fma.f64 (exp.f64 (neg.f64 im)) (cosh.f64 im) (*.f64 (exp.f64 (neg.f64 im)) (sinh.f64 (neg.f64 im))))
(sqrt.f64 (pow.f64 (exp.f64 im) #s(literal -4 binary64)))
(-.f64 (*.f64 (cosh.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (sinh.f64 im) (exp.f64 (neg.f64 im))))
(-.f64 (*.f64 (exp.f64 (neg.f64 im)) (cosh.f64 im)) (*.f64 (neg.f64 (exp.f64 (neg.f64 im))) (sinh.f64 (neg.f64 im))))
(fabs.f64 (neg.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64))))
(fabs.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)))
(exp.f64 (neg.f64 (*.f64 im #s(literal 2 binary64))))
(exp.f64 (*.f64 (*.f64 im #s(literal 2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (+.f64 im im) #s(literal -1 binary64)))
(exp.f64 (*.f64 #s(literal -2 binary64) im))
(+.f64 (*.f64 (cosh.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (sinh.f64 (neg.f64 im)) (exp.f64 (neg.f64 im))))
(+.f64 (*.f64 (exp.f64 (neg.f64 im)) (cosh.f64 im)) (*.f64 (exp.f64 (neg.f64 im)) (sinh.f64 (neg.f64 im))))
(+.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) im)) (sinh.f64 (*.f64 #s(literal -2 binary64) im)))

eval192.0ms (1.8%)

Memory
16.7MiB live, 485.0MiB allocated; 55ms collecting garbage
Compiler

Compiled 51 661 to 4 670 computations (91% saved)

prune47.0ms (0.4%)

Memory
-14.4MiB live, 130.0MiB allocated; 18ms collecting garbage
Pruning

22 alts after pruning (20 fresh and 2 done)

PrunedKeptTotal
New1 203201 223
Fresh303
Picked325
Done000
Total1 209221 231
Accuracy
100.0%
Counts
1 231 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.3%
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 (sinh.f64 im) #s(literal 2 binary64))) (neg.f64 (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
46.6%
(*.f64 (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (*.f64 (/.f64 (neg.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
57.7%
(*.f64 (*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 1/2 binary64))
46.8%
(*.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (*.f64 im im))))) #s(literal 1/2 binary64))
81.5%
(*.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (*.f64 im (neg.f64 im)) im)))) #s(literal 1/2 binary64))
92.7%
(*.f64 (*.f64 (cos.f64 re) #s(approx (* 2 (sinh (neg 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(literal 1/2 binary64))
79.8%
(*.f64 (*.f64 (cos.f64 re) #s(approx (* 2 (sinh (neg im))) (*.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64)) im))) #s(literal 1/2 binary64))
65.2%
(*.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))
45.8%
(*.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) #s(approx (pow (exp im) -2) (fma.f64 #s(literal -2 binary64) im #s(literal 1 binary64)))))))
87.6%
(*.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)))
99.9%
(*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re))
79.8%
(*.f64 #s(approx (* (cos re) (* 2 (sinh (neg im)))) (*.f64 (*.f64 (cos.f64 re) (fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64))) im)) #s(literal 1/2 binary64))
56.3%
(*.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)))
79.8%
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
48.1%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
64.5%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
60.4%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.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)))
56.7%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.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)))
50.7%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)))
34.2%
#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))))
34.9%
#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)))))
27.3%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
Compiler

Compiled 1 066 to 787 computations (26.2% saved)

simplify470.0ms (4.4%)

Memory
-82.6MiB live, 191.8MiB allocated; 721ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (* 2 (sinh (neg 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 (cos.f64 re) #s(approx (* 2 (sinh (neg 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 (cos.f64 re) #s(approx (* 2 (sinh (neg 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(literal 1/2 binary64))
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 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
cost-diff1
(*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))
cost-diff0
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64))
cost-diff0
(*.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)
cost-diff0
#s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.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))
cost-diff0
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.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)))
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
(neg.f64 im)
cost-diff0
(sinh.f64 (neg.f64 im))
cost-diff0
(*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
061430
090428
1172426
2383424
31103402
44537402
08104402
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re))
(sinh.f64 (neg.f64 im))
(neg.f64 im)
im
(cos.f64 re)
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)
im
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.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)))
#s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.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))
(*.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)
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im)
(*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im)
(-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64))
(*.f64 #s(literal -1/120 binary64) (*.f64 im im))
#s(literal -1/120 binary64)
(*.f64 im 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 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
(*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))
(*.f64 (cos.f64 re) im)
(cos.f64 re)
re
im
(fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))
(*.f64 #s(literal -1/6 binary64) im)
#s(literal -1/6 binary64)
#s(literal -1 binary64)
(*.f64 (*.f64 (cos.f64 re) #s(approx (* 2 (sinh (neg 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(literal 1/2 binary64))
(*.f64 (cos.f64 re) #s(approx (* 2 (sinh (neg 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)))
(cos.f64 re)
re
#s(approx (* 2 (sinh (neg 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)
#s(literal 1/2 binary64)
Outputs
(*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re))
(*.f64 (cos.f64 re) (sinh.f64 (neg.f64 im)))
(sinh.f64 (neg.f64 im))
(neg.f64 im)
im
(cos.f64 re)
re
#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
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.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)))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)))
#s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.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))
#s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im))
(*.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)
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64))
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im)
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) im) im)
(*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im)
(*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) im)
(-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64))
(-.f64 (*.f64 (*.f64 im im) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))
(*.f64 #s(literal -1/120 binary64) (*.f64 im im))
(*.f64 (*.f64 im im) #s(literal -1/120 binary64))
#s(literal -1/120 binary64)
(*.f64 im 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 #s(literal -1/6 binary64) im) im #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) im) (neg.f64 (cos.f64 re))))
(*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im) (neg.f64 (cos.f64 re)))
(*.f64 (cos.f64 re) im)
(cos.f64 re)
re
im
(fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))
(*.f64 #s(literal -1/6 binary64) im)
#s(literal -1/6 binary64)
#s(literal -1 binary64)
(*.f64 (*.f64 (cos.f64 re) #s(approx (* 2 (sinh (neg 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(literal 1/2 binary64))
(*.f64 #s(approx (* 2 (sinh (neg 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 (cos.f64 re) #s(approx (* 2 (sinh (neg 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 (* 2 (sinh (neg 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)) (cos.f64 re))
(cos.f64 re)
re
#s(approx (* 2 (sinh (neg 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 (* 2 (sinh (neg 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)
#s(literal 1/2 binary64)

localize247.0ms (2.3%)

Memory
34.1MiB live, 507.7MiB allocated; 57ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.08984375
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im)
accuracy0.125
(*.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))
accuracy0.16796875
(*.f64 #s(literal -1/2520 binary64) (*.f64 im im))
accuracy4.610308212222416
#s(approx (* 2 (sinh (neg 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))
accuracy0.07421875
(fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))
accuracy0.12890625
(*.f64 (cos.f64 re) im)
accuracy0.3359375
(*.f64 #s(literal -1/6 binary64) im)
accuracy12.891451126567981
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
accuracy0.12890625
(*.f64 #s(literal -1/120 binary64) (*.f64 im im))
accuracy0.19921875
(*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im)
accuracy7.912448012789119
#s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.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))
accuracy22.696331975961037
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.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)))
accuracy0.0
(neg.f64 im)
accuracy28.357510508936095
#s(approx (* (neg (cos re)) im) (neg.f64 im))
accuracy33.18203281217348
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
accuracy0.0
(neg.f64 im)
accuracy0.0
(cos.f64 re)
accuracy0.0078125
(sinh.f64 (neg.f64 im))
accuracy0.05078125
(*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re))
Samples
74.0ms141×0valid
65.0ms73×1valid
56.0ms42×2valid
Compiler

Compiled 303 to 53 computations (82.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 163.0ms
ival-exp: 47.0ms (28.9% of total)
ival-mult: 40.0ms (24.6% of total)
const: 27.0ms (16.6% of total)
adjust: 24.0ms (14.7% of total)
ival-sub: 14.0ms (8.6% of total)
ival-cos: 6.0ms (3.7% of total)
ival-neg: 3.0ms (1.8% of total)
ival-sinh: 2.0ms (1.2% of total)
ival-add: 1.0ms (0.6% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series46.0ms (0.4%)

Memory
-26.4MiB live, 67.3MiB allocated; 38ms collecting garbage
Counts
23 → 85
Calls
Call 1
Inputs
(*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re))
(sinh.f64 (neg.f64 im))
(neg.f64 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))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.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)))
#s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.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))
(*.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)
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64))
(*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
(*.f64 (cos.f64 re) im)
(*.f64 (*.f64 (cos.f64 re) #s(approx (* 2 (sinh (neg 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(literal 1/2 binary64))
(*.f64 (cos.f64 re) #s(approx (* 2 (sinh (neg 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 (* 2 (sinh (neg 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 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im)
(*.f64 #s(literal -1/120 binary64) (*.f64 im im))
(*.f64 #s(literal -1/6 binary64) im)
(fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))
(*.f64 #s(literal -1/2520 binary64) (*.f64 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)
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))))))))
(* 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))))))))
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))))))
(- (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))))
(* 1/2 (* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im))))))
(cos re)
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* -1 (* im (cos re)))
(* im (* (cos re) (- (* -1/6 (pow im 2)) 1)))
(* im (cos re))
(* (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)))))))))
(* 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
(- (* -1/6 (pow im 2)) 1)
(- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)
(* -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))
(* -1/6 im)
(* im (- (* -1/120 (pow im 2)) 1/6))
(* -1/120 (pow im 2))
(* -1/2520 (pow im 2))
(* -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))
(* -1/120 (pow im 5))
(* -1 (* (pow im 5) (+ 1/120 (* 1/6 (/ 1 (pow im 2))))))
(* (pow im 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow im 2))) (pow im 2))) 1/120))
(* -1/120 (pow im 4))
(* -1 (* (pow im 4) (+ 1/120 (* 1/6 (/ 1 (pow im 2))))))
(* (pow im 4) (- (* -1 (/ (+ 1/6 (/ 1 (pow im 2))) (pow im 2))) 1/120))
(* -1/6 (* (pow im 3) (cos re)))
(* (pow im 3) (+ (* -1 (/ (cos re) (pow im 2))) (* -1/6 (cos re))))
(* -1/120 (pow im 3))
(* -1 (* (pow im 3) (+ 1/120 (* 1/6 (/ 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))))))
(* 1/2 (* (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))))
(* 1/2 (- (exp (* -1 im)) (exp im)))
(* -1 (* (pow im 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow im 2))) (/ 1 (pow im 4))))))
(* -1 (* (pow im 3) (+ (* 1/6 (cos re)) (/ (cos re) (pow im 2)))))
(* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))
(- (exp (* -1 im)) (/ 1 (exp (* -1 im))))
Calls

6 calls:

TimeVariablePointExpression
15.0ms
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) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (- (exp (neg im)) (exp im)) 1/2) (* (- (* (* (- (* -1/120 (* im im)) 1/6) im) im) 1) im) (- (* (* (- (* -1/120 (* im im)) 1/6) im) im) 1) (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) im) (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) (* 2 (sinh (neg im)))) (* 2 (sinh (neg im))) (* (- (* -1/120 (* im im)) 1/6) im) (* -1/120 (* im im)) (* -1/6 im) (+ (* (* -1/6 im) im) -1) (* -1/2520 (* im im)) (* (- (* (* (- (* -1/2520 (* im im)) 1/60) im) im) 1/3) (* im im)) (* (* (- (* -1/2520 (* im im)) 1/60) im) im))
11.0ms
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) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (- (exp (neg im)) (exp im)) 1/2) (* (- (* (* (- (* -1/120 (* im im)) 1/6) im) im) 1) im) (- (* (* (- (* -1/120 (* im im)) 1/6) im) im) 1) (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) im) (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) (* 2 (sinh (neg im)))) (* 2 (sinh (neg im))) (* (- (* -1/120 (* im im)) 1/6) im) (* -1/120 (* im im)) (* -1/6 im) (+ (* (* -1/6 im) im) -1) (* -1/2520 (* im im)) (* (- (* (* (- (* -1/2520 (* im im)) 1/60) im) im) 1/3) (* im im)) (* (* (- (* -1/2520 (* im im)) 1/60) im) im))
10.0ms
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) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (- (exp (neg im)) (exp im)) 1/2) (* (- (* (* (- (* -1/120 (* im im)) 1/6) im) im) 1) im) (- (* (* (- (* -1/120 (* im im)) 1/6) im) im) 1) (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) im) (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) (* 2 (sinh (neg im)))) (* 2 (sinh (neg im))) (* (- (* -1/120 (* im im)) 1/6) im) (* -1/120 (* im im)) (* -1/6 im) (+ (* (* -1/6 im) im) -1) (* -1/2520 (* im im)) (* (- (* (* (- (* -1/2520 (* im im)) 1/60) im) im) 1/3) (* im im)) (* (* (- (* -1/2520 (* im im)) 1/60) 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) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (- (exp (neg im)) (exp im)) 1/2) (* (- (* (* (- (* -1/120 (* im im)) 1/6) im) im) 1) im) (- (* (* (- (* -1/120 (* im im)) 1/6) im) im) 1) (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) im) (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) (* 2 (sinh (neg im)))) (* 2 (sinh (neg im))) (* (- (* -1/120 (* im im)) 1/6) im) (* -1/120 (* im im)) (* -1/6 im) (+ (* (* -1/6 im) im) -1) (* -1/2520 (* im im)) (* (- (* (* (- (* -1/2520 (* im im)) 1/60) im) im) 1/3) (* im im)) (* (* (- (* -1/2520 (* im im)) 1/60) im) im))
2.0ms
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) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (- (exp (neg im)) (exp im)) 1/2) (* (- (* (* (- (* -1/120 (* im im)) 1/6) im) im) 1) im) (- (* (* (- (* -1/120 (* im im)) 1/6) im) im) 1) (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) im) (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) (* 2 (sinh (neg im)))) (* 2 (sinh (neg im))) (* (- (* -1/120 (* im im)) 1/6) im) (* -1/120 (* im im)) (* -1/6 im) (+ (* (* -1/6 im) im) -1) (* -1/2520 (* im im)) (* (- (* (* (- (* -1/2520 (* im im)) 1/60) im) im) 1/3) (* im im)) (* (* (- (* -1/2520 (* im im)) 1/60) im) im))

simplify171.0ms (1.6%)

Memory
25.3MiB live, 255.5MiB allocated; 61ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02881317
19681159
239941076
082021017
Stop Event
iter limit
node limit
Counts
85 → 84
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))))))))
(* 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))))))))
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))))))
(- (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))))
(* 1/2 (* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im))))))
(cos re)
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* -1 (* im (cos re)))
(* im (* (cos re) (- (* -1/6 (pow im 2)) 1)))
(* im (cos re))
(* (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)))))))))
(* 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
(- (* -1/6 (pow im 2)) 1)
(- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)
(* -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))
(* -1/6 im)
(* im (- (* -1/120 (pow im 2)) 1/6))
(* -1/120 (pow im 2))
(* -1/2520 (pow im 2))
(* -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))
(* -1/120 (pow im 5))
(* -1 (* (pow im 5) (+ 1/120 (* 1/6 (/ 1 (pow im 2))))))
(* (pow im 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow im 2))) (pow im 2))) 1/120))
(* -1/120 (pow im 4))
(* -1 (* (pow im 4) (+ 1/120 (* 1/6 (/ 1 (pow im 2))))))
(* (pow im 4) (- (* -1 (/ (+ 1/6 (/ 1 (pow im 2))) (pow im 2))) 1/120))
(* -1/6 (* (pow im 3) (cos re)))
(* (pow im 3) (+ (* -1 (/ (cos re) (pow im 2))) (* -1/6 (cos re))))
(* -1/120 (pow im 3))
(* -1 (* (pow im 3) (+ 1/120 (* 1/6 (/ 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))))))
(* 1/2 (* (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))))
(* 1/2 (- (exp (* -1 im)) (exp im)))
(* -1 (* (pow im 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow im 2))) (/ 1 (pow im 4))))))
(* -1 (* (pow im 3) (+ (* 1/6 (cos re)) (/ (cos re) (pow im 2)))))
(* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))
(- (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))))
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 (-.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 (*.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))))
(* 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 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #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 (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)))) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) im)))
im
(+ im (* -1/2 (* im (pow re 2))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 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 (pow.f64 re #s(literal 4 binary64)) (*.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)) im))
(- (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))))
(* 1/2 (* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im))))))
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(cos re)
(cos.f64 re)
(* 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 (* im (cos re)))
(*.f64 (neg.f64 (cos.f64 re)) 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)))
(* im (cos re))
(*.f64 (cos.f64 re) im)
(* (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 (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 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) (cos.f64 re))) 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
#s(literal -1 binary64)
(- (* -1/6 (pow im 2)) 1)
(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))
(- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64))
(* -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 (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 #s(literal -1/3 binary64) (*.f64 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)
(* -1/6 im)
(*.f64 #s(literal -1/6 binary64) im)
(* im (- (* -1/120 (pow im 2)) 1/6))
(*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im)
(* -1/120 (pow im 2))
(*.f64 #s(literal -1/120 binary64) (*.f64 im im))
(* -1/2520 (pow im 2))
(*.f64 #s(literal -1/2520 binary64) (*.f64 im im))
(* -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)
(* -1/120 (pow im 5))
(*.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal -1/120 binary64))
(* -1 (* (pow im 5) (+ 1/120 (* 1/6 (/ 1 (pow im 2))))))
(*.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 im im)) #s(literal -1/120 binary64)) (pow.f64 im #s(literal 5 binary64)))
(* (pow im 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow im 2))) (pow im 2))) 1/120))
(*.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 im im)) #s(literal -1/6 binary64)) im) im) #s(literal 1/120 binary64)) (pow.f64 im #s(literal 5 binary64)))
(* -1/120 (pow im 4))
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/120 binary64))
(* -1 (* (pow im 4) (+ 1/120 (* 1/6 (/ 1 (pow im 2))))))
(*.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 im im)) #s(literal -1/120 binary64)) (pow.f64 im #s(literal 4 binary64)))
(* (pow im 4) (- (* -1 (/ (+ 1/6 (/ 1 (pow im 2))) (pow im 2))) 1/120))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 im im)) #s(literal -1/6 binary64)) im) im) #s(literal 1/120 binary64)))
(* -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)))
(* -1/120 (pow im 3))
(*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/120 binary64))
(* -1 (* (pow im 3) (+ 1/120 (* 1/6 (/ 1 (pow im 2))))))
(*.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 im im)) #s(literal -1/120 binary64)) (pow.f64 im #s(literal 3 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 (-.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 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 (cos.f64 re) #s(literal 1/2 binary64)) (-.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))
(* 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)))
(* 1/2 (- (exp (* -1 im)) (exp im)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(* -1 (* (pow im 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow im 2))) (/ 1 (pow im 4))))))
(*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 im im)) #s(literal -1/120 binary64))) (pow.f64 im #s(literal 5 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)))
(* (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))

rewrite230.0ms (2.1%)

Memory
-19.2MiB live, 329.6MiB allocated; 39ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
061313
090311
1293287
21702287
08367287
Stop Event
iter limit
node limit
iter limit
Counts
23 → 261
Calls
Call 1
Inputs
(*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re))
(sinh.f64 (neg.f64 im))
(neg.f64 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))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.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)))
#s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.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))
(*.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)
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64))
(*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
(*.f64 (cos.f64 re) im)
(*.f64 (*.f64 (cos.f64 re) #s(approx (* 2 (sinh (neg 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(literal 1/2 binary64))
(*.f64 (cos.f64 re) #s(approx (* 2 (sinh (neg 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 (* 2 (sinh (neg 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 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im)
(*.f64 #s(literal -1/120 binary64) (*.f64 im im))
(*.f64 #s(literal -1/6 binary64) im)
(fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))
(*.f64 #s(literal -1/2520 binary64) (*.f64 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)
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 (*.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 (*.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 (cos.f64 re) (sinh.f64 (neg.f64 im)))
(*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re))
(/.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)))))
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(/.f64 (neg.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) im) im) #s(literal -1 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) im) im) #s(literal -1 binary64)))
(/.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216 binary64) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) im) im) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) im) im) #s(literal -1 binary64)))))
(fma.f64 (*.f64 #s(literal -1/6 binary64) (neg.f64 im)) (neg.f64 im) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))
(fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal -1 binary64))
(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))
(fma.f64 im (*.f64 #s(literal -1/6 binary64) im) #s(literal -1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) im) im))) (/.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) im) im))))
(-.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64)) (-.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) im) im) #s(literal -1 binary64))) (pow.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) im) im) #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -1/6 binary64) im)) im))
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 im) (*.f64 #s(literal -1/6 binary64) im)))
(-.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 im im)))
(+.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) im) im) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) im) im) #s(literal -1 binary64))))))
(+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) im) im) #s(literal -1 binary64))))) (/.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) im) im) #s(literal -1 binary64))))))
(+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) im) im) #s(literal -1 binary64))))) (/.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216 binary64)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) im) im) #s(literal -1 binary64))))))
(+.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216 binary64)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) im) im) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) im) im) #s(literal -1 binary64))))))
(+.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) im) im) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) im) im))
(*.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))
(*.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 #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))))

eval54.0ms (0.5%)

Memory
32.7MiB live, 120.8MiB allocated; 12ms collecting garbage
Compiler

Compiled 13 608 to 1 795 computations (86.8% saved)

prune39.0ms (0.4%)

Memory
-27.5MiB live, 73.2MiB allocated; 19ms collecting garbage
Pruning

29 alts after pruning (25 fresh and 4 done)

PrunedKeptTotal
New38615401
Fresh51015
Picked235
Done112
Total39429423
Accuracy
100.0%
Counts
423 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.3%
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 (sinh.f64 im) #s(literal 2 binary64))) (neg.f64 (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
46.6%
(*.f64 (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (*.f64 (/.f64 (neg.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
57.7%
(*.f64 (*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 1/2 binary64))
59.9%
(*.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))) #s(approx (* 2 (sinh (neg 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(literal 1/2 binary64))
45.8%
(*.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) #s(approx (pow (exp im) -2) (fma.f64 #s(literal -2 binary64) im #s(literal 1 binary64)))))))
81.5%
(*.f64 (sinh.f64 (/.f64 (*.f64 im im) (neg.f64 im))) (cos.f64 re))
99.9%
(*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re))
65.2%
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
56.3%
(*.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)))
92.7%
(*.f64 #s(approx (sinh (neg im)) (*.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)) (cos.f64 re))
87.6%
(*.f64 #s(approx (sinh (neg im)) (*.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)) (cos.f64 re))
79.8%
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) (cos.f64 re)) im))
79.8%
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) im) (cos.f64 re)))
51.9%
#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 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
51.3%
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) im))))
50.7%
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im)))
50.4%
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* -1/6 im) im) -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)))))
48.1%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
64.5%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
60.4%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.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)))
56.7%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)))
56.7%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.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)))
50.7%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)))
50.7%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* -1/120 (* im im)) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im)))
33.9%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) #s(approx (* (- (* (* (- (* -1/120 (* im im)) 1/6) im) im) 1) im) (*.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal -1/120 binary64)))))
34.2%
#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))))
33.4%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 im im) (neg.f64 im))))
34.9%
#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)))))
27.3%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
Compiler

Compiled 1 612 to 1 166 computations (27.7% saved)

simplify208.0ms (1.9%)

Memory
-1.0MiB live, 188.8MiB allocated; 27ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 im im)
cost-diff0
(sinh.f64 (/.f64 (*.f64 im im) (neg.f64 im)))
cost-diff0
(*.f64 (sinh.f64 (/.f64 (*.f64 im im) (neg.f64 im))) (cos.f64 re))
cost-diff4
(/.f64 (*.f64 im im) (neg.f64 im))
cost-diff0
(neg.f64 im)
cost-diff0
(sinh.f64 (neg.f64 im))
cost-diff0
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
cost-diff0
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64))
cost-diff0
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)
cost-diff0
#s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im))
cost-diff0
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 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
(-.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))
cost-diff0
(*.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)
cost-diff0
#s(approx (sinh (neg im)) (*.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))
cost-diff0
(*.f64 #s(approx (sinh (neg im)) (*.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)) (cos.f64 re))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
056410
085399
1164399
2347395
31003395
44333395
08703395
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 #s(approx (sinh (neg im)) (*.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)) (cos.f64 re))
#s(approx (sinh (neg im)) (*.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))
(*.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)
(-.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))
(*.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))
(-.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 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im)
(*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im)
(-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64))
(*.f64 #s(literal -1/5040 binary64) (*.f64 im im))
#s(literal -1/5040 binary64)
(*.f64 im im)
im
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(cos.f64 re)
re
#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)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)))
#s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im))
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im)
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im)
(-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64))
(*.f64 (*.f64 #s(literal -1/120 binary64) im) im)
(*.f64 #s(literal -1/120 binary64) im)
#s(literal -1/120 binary64)
im
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
(sinh.f64 (neg.f64 im))
(neg.f64 im)
im
(*.f64 (sinh.f64 (/.f64 (*.f64 im im) (neg.f64 im))) (cos.f64 re))
(sinh.f64 (/.f64 (*.f64 im im) (neg.f64 im)))
(/.f64 (*.f64 im im) (neg.f64 im))
(*.f64 im im)
im
(neg.f64 im)
(cos.f64 re)
re
Outputs
(*.f64 #s(approx (sinh (neg im)) (*.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)) (cos.f64 re))
(*.f64 (cos.f64 re) #s(approx (sinh (neg im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)))
#s(approx (sinh (neg im)) (*.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))
#s(approx (sinh (neg im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im))
(*.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)
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)
(-.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))
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64))
(*.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))
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) im) im)
(-.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 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im)
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im)
(*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im)
(*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im)
(-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64))
(-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(*.f64 #s(literal -1/5040 binary64) (*.f64 im im))
(*.f64 (*.f64 im im) #s(literal -1/5040 binary64))
#s(literal -1/5040 binary64)
(*.f64 im im)
im
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(cos.f64 re)
re
#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)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)))
#s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im))
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im)
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im)
(-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64))
(*.f64 (*.f64 #s(literal -1/120 binary64) im) im)
(*.f64 #s(literal -1/120 binary64) im)
#s(literal -1/120 binary64)
im
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
(sinh.f64 (neg.f64 im))
(neg.f64 im)
im
(*.f64 (sinh.f64 (/.f64 (*.f64 im im) (neg.f64 im))) (cos.f64 re))
(*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re))
(sinh.f64 (/.f64 (*.f64 im im) (neg.f64 im)))
(sinh.f64 (neg.f64 im))
(/.f64 (*.f64 im im) (neg.f64 im))
(neg.f64 im)
(*.f64 im im)
im
(neg.f64 im)
(cos.f64 re)
re

localize383.0ms (3.6%)

Memory
12.9MiB live, 635.9MiB allocated; 74ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(cos.f64 re)
accuracy0.0078125
(sinh.f64 (/.f64 (*.f64 im im) (neg.f64 im)))
accuracy0.05078125
(*.f64 (sinh.f64 (/.f64 (*.f64 im im) (neg.f64 im))) (cos.f64 re))
accuracy26.00395245716045
(/.f64 (*.f64 im im) (neg.f64 im))
accuracy0.0
(neg.f64 im)
accuracy0.0078125
(sinh.f64 (neg.f64 im))
accuracy22.696331975961037
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
accuracy0.1328125
(*.f64 (*.f64 #s(literal -1/120 binary64) im) im)
accuracy0.19921875
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im)
accuracy7.912448012789119
#s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im))
accuracy22.696331975961037
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)))
accuracy0.0
(*.f64 #s(literal 1/2 binary64) re)
accuracy2.859028946422662
(*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))
accuracy30.945709556567845
#s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))
accuracy33.18203281217348
#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)))))
accuracy0.08984375
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im)
accuracy0.12890625
(*.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))
accuracy0.16796875
(*.f64 #s(literal -1/5040 binary64) (*.f64 im im))
accuracy4.610510069004511
#s(approx (sinh (neg im)) (*.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))
Samples
161.0ms73×1valid
65.0ms141×0valid
63.0ms42×2valid
Compiler

Compiled 301 to 50 computations (83.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 256.0ms
ival-exp: 127.0ms (49.7% of total)
ival-mult: 48.0ms (18.8% of total)
const: 23.0ms (9% of total)
adjust: 22.0ms (8.6% of total)
ival-sub: 13.0ms (5.1% of total)
ival-add: 7.0ms (2.7% of total)
ival-cos: 6.0ms (2.3% of total)
ival-sinh: 4.0ms (1.6% of total)
ival-div: 3.0ms (1.2% of total)
ival-neg: 3.0ms (1.2% of total)
exact: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series27.0ms (0.3%)

Memory
16.0MiB live, 61.3MiB allocated; 4ms collecting garbage
Counts
26 → 74
Calls
Call 1
Inputs
(*.f64 #s(approx (sinh (neg im)) (*.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)) (cos.f64 re))
#s(approx (sinh (neg im)) (*.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))
(*.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)
(-.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))
#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))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)))
#s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im))
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
(sinh.f64 (neg.f64 im))
(neg.f64 im)
(/.f64 (*.f64 im im) (neg.f64 im))
(*.f64 (sinh.f64 (/.f64 (*.f64 im im) (neg.f64 im))) (cos.f64 re))
(sinh.f64 (/.f64 (*.f64 im im) (neg.f64 im)))
(*.f64 im im)
(*.f64 #s(literal -1/5040 binary64) (*.f64 im im))
(*.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))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im)
(*.f64 #s(literal 1/2 binary64) re)
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im)
(*.f64 (*.f64 #s(literal -1/120 binary64) im) im)
(cos.f64 re)
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))))))))))
(* 1/2 (- (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 (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))
(+ (* -1/4 (* (pow re 2) (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))) (* 1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))))
(+ (* 1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))) (* (pow re 2) (+ (* -1/4 (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))) (* 1/48 (* (pow re 2) (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))))))
(+ (* 1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))) (* (pow re 2) (+ (* -1/4 (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))) (* 1/48 (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))))))))
(* 1/2 re)
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)) (/ 1 (exp (neg im))))))
(* 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) (- (exp (* -1 im)) (/ 1 (exp (* -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)))))))))
(* 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))
(- (* -1/6 (pow im 2)) 1)
(- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)
(- (* (pow im 2) (- (* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) 1/6)) 1)
(* im (- (* 1/2 (pow re 2)) 1))
(pow im 2)
(* -1/5040 (pow im 2))
(* -1/6 (pow im 2))
(* (pow im 2) (- (* -1/120 (pow im 2)) 1/6))
(* (pow im 2) (- (* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) 1/6))
(* -1/120 (pow im 2))
(* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120))
(* -1/6 im)
(* im (- (* -1/120 (pow im 2)) 1/6))
(* -1/5040 (pow im 7))
(* -1 (* (pow im 7) (+ 1/5040 (* 1/120 (/ 1 (pow im 2))))))
(* (pow im 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow im 2)))) (pow im 2))) 1/5040))
(* (pow im 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow im 2))) (pow im 4))) (+ 1/5040 (* 1/120 (/ 1 (pow im 2))))))
(* -1/5040 (pow im 6))
(* -1 (* (pow im 6) (+ 1/5040 (* 1/120 (/ 1 (pow im 2))))))
(* (pow im 6) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow im 2)))) (pow im 2))) 1/5040))
(* (pow im 6) (- (* -1 (/ (+ 1/6 (/ 1 (pow im 2))) (pow im 4))) (+ 1/5040 (* 1/120 (/ 1 (pow im 2))))))
(* -1/120 (pow im 5))
(* -1 (* (pow im 5) (+ 1/120 (* 1/6 (/ 1 (pow im 2))))))
(* (pow im 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow im 2))) (pow im 2))) 1/120))
(* -1/120 (pow im 4))
(* -1 (* (pow im 4) (+ 1/120 (* 1/6 (/ 1 (pow im 2))))))
(* (pow im 4) (- (* -1 (/ (+ 1/6 (/ 1 (pow im 2))) (pow im 2))) 1/120))
(* -1/5040 (pow im 4))
(* -1 (* (pow im 4) (+ 1/5040 (* 1/120 (/ 1 (pow im 2))))))
(* -1/120 (pow im 3))
(* -1 (* (pow im 3) (+ 1/120 (* 1/6 (/ 1 (pow im 2))))))
(* -1 (* (pow im 7) (+ 1/5040 (+ (/ 1/6 (pow im 4)) (* 1/120 (/ 1 (pow im 2)))))))
(* -1 (* (pow im 7) (+ 1/5040 (+ (/ 1/6 (pow im 4)) (+ (* 1/120 (/ 1 (pow im 2))) (/ 1 (pow im 6)))))))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(* 1/2 (- (exp (* -1 im)) (exp im)))
(* -1 (* (pow im 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow im 2))) (/ 1 (pow im 4))))))
Calls

6 calls:

TimeVariablePointExpression
6.0ms
im
@inf
((* (sinh (neg im)) (cos re)) (sinh (neg im)) (* (- (* (- (* (* (- (* -1/5040 (* im im)) 1/120) im) im) 1/6) (* im im)) 1) im) (- (* (- (* (* (- (* -1/5040 (* im im)) 1/120) im) im) 1/6) (* im im)) 1) (* (* 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))) (* (- (exp (neg im)) (exp im)) 1/2) (* (- (* (* (- (* (* -1/120 im) im) 1/6) im) im) 1) im) (- (* (* (- (* (* -1/120 im) im) 1/6) im) im) 1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh (neg im)) (neg im) (/ (* im im) (neg im)) (* (sinh (/ (* im im) (neg im))) (cos re)) (sinh (/ (* im im) (neg im))) (* im im) (* -1/5040 (* im im)) (* (- (* (* (- (* -1/5040 (* im im)) 1/120) im) im) 1/6) (* im im)) (* (* (- (* -1/5040 (* im im)) 1/120) im) im) (* 1/2 re) (* (- (* (* -1/120 im) im) 1/6) im) (* (* -1/120 im) im) (cos re))
6.0ms
im
@0
((* (sinh (neg im)) (cos re)) (sinh (neg im)) (* (- (* (- (* (* (- (* -1/5040 (* im im)) 1/120) im) im) 1/6) (* im im)) 1) im) (- (* (- (* (* (- (* -1/5040 (* im im)) 1/120) im) im) 1/6) (* im im)) 1) (* (* 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))) (* (- (exp (neg im)) (exp im)) 1/2) (* (- (* (* (- (* (* -1/120 im) im) 1/6) im) im) 1) im) (- (* (* (- (* (* -1/120 im) im) 1/6) im) im) 1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh (neg im)) (neg im) (/ (* im im) (neg im)) (* (sinh (/ (* im im) (neg im))) (cos re)) (sinh (/ (* im im) (neg im))) (* im im) (* -1/5040 (* im im)) (* (- (* (* (- (* -1/5040 (* im im)) 1/120) im) im) 1/6) (* im im)) (* (* (- (* -1/5040 (* im im)) 1/120) im) im) (* 1/2 re) (* (- (* (* -1/120 im) im) 1/6) im) (* (* -1/120 im) im) (cos re))
5.0ms
im
@-inf
((* (sinh (neg im)) (cos re)) (sinh (neg im)) (* (- (* (- (* (* (- (* -1/5040 (* im im)) 1/120) im) im) 1/6) (* im im)) 1) im) (- (* (- (* (* (- (* -1/5040 (* im im)) 1/120) im) im) 1/6) (* im im)) 1) (* (* 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))) (* (- (exp (neg im)) (exp im)) 1/2) (* (- (* (* (- (* (* -1/120 im) im) 1/6) im) im) 1) im) (- (* (* (- (* (* -1/120 im) im) 1/6) im) im) 1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh (neg im)) (neg im) (/ (* im im) (neg im)) (* (sinh (/ (* im im) (neg im))) (cos re)) (sinh (/ (* im im) (neg im))) (* im im) (* -1/5040 (* im im)) (* (- (* (* (- (* -1/5040 (* im im)) 1/120) im) im) 1/6) (* im im)) (* (* (- (* -1/5040 (* im im)) 1/120) im) im) (* 1/2 re) (* (- (* (* -1/120 im) im) 1/6) im) (* (* -1/120 im) im) (cos re))
3.0ms
re
@inf
((* (sinh (neg im)) (cos re)) (sinh (neg im)) (* (- (* (- (* (* (- (* -1/5040 (* im im)) 1/120) im) im) 1/6) (* im im)) 1) im) (- (* (- (* (* (- (* -1/5040 (* im im)) 1/120) im) im) 1/6) (* im im)) 1) (* (* 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))) (* (- (exp (neg im)) (exp im)) 1/2) (* (- (* (* (- (* (* -1/120 im) im) 1/6) im) im) 1) im) (- (* (* (- (* (* -1/120 im) im) 1/6) im) im) 1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh (neg im)) (neg im) (/ (* im im) (neg im)) (* (sinh (/ (* im im) (neg im))) (cos re)) (sinh (/ (* im im) (neg im))) (* im im) (* -1/5040 (* im im)) (* (- (* (* (- (* -1/5040 (* im im)) 1/120) im) im) 1/6) (* im im)) (* (* (- (* -1/5040 (* im im)) 1/120) im) im) (* 1/2 re) (* (- (* (* -1/120 im) im) 1/6) im) (* (* -1/120 im) im) (cos re))
3.0ms
re
@-inf
((* (sinh (neg im)) (cos re)) (sinh (neg im)) (* (- (* (- (* (* (- (* -1/5040 (* im im)) 1/120) im) im) 1/6) (* im im)) 1) im) (- (* (- (* (* (- (* -1/5040 (* im im)) 1/120) im) im) 1/6) (* im im)) 1) (* (* 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))) (* (- (exp (neg im)) (exp im)) 1/2) (* (- (* (* (- (* (* -1/120 im) im) 1/6) im) im) 1) im) (- (* (* (- (* (* -1/120 im) im) 1/6) im) im) 1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh (neg im)) (neg im) (/ (* im im) (neg im)) (* (sinh (/ (* im im) (neg im))) (cos re)) (sinh (/ (* im im) (neg im))) (* im im) (* -1/5040 (* im im)) (* (- (* (* (- (* -1/5040 (* im im)) 1/120) im) im) 1/6) (* im im)) (* (* (- (* -1/5040 (* im im)) 1/120) im) im) (* 1/2 re) (* (- (* (* -1/120 im) im) 1/6) im) (* (* -1/120 im) im) (cos re))

simplify221.0ms (2.1%)

Memory
-7.6MiB live, 234.8MiB allocated; 48ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02321117
1771963
22767929
37252929
08620896
Stop Event
iter limit
node limit
Counts
74 → 74
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))))))))))
(* 1/2 (- (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 (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))
(+ (* -1/4 (* (pow re 2) (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))) (* 1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))))
(+ (* 1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))) (* (pow re 2) (+ (* -1/4 (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))) (* 1/48 (* (pow re 2) (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))))))
(+ (* 1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))) (* (pow re 2) (+ (* -1/4 (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))) (* 1/48 (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))))))))
(* 1/2 re)
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)) (/ 1 (exp (neg im))))))
(* 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) (- (exp (* -1 im)) (/ 1 (exp (* -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)))))))))
(* 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))
(- (* -1/6 (pow im 2)) 1)
(- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)
(- (* (pow im 2) (- (* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) 1/6)) 1)
(* im (- (* 1/2 (pow re 2)) 1))
(pow im 2)
(* -1/5040 (pow im 2))
(* -1/6 (pow im 2))
(* (pow im 2) (- (* -1/120 (pow im 2)) 1/6))
(* (pow im 2) (- (* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) 1/6))
(* -1/120 (pow im 2))
(* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120))
(* -1/6 im)
(* im (- (* -1/120 (pow im 2)) 1/6))
(* -1/5040 (pow im 7))
(* -1 (* (pow im 7) (+ 1/5040 (* 1/120 (/ 1 (pow im 2))))))
(* (pow im 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow im 2)))) (pow im 2))) 1/5040))
(* (pow im 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow im 2))) (pow im 4))) (+ 1/5040 (* 1/120 (/ 1 (pow im 2))))))
(* -1/5040 (pow im 6))
(* -1 (* (pow im 6) (+ 1/5040 (* 1/120 (/ 1 (pow im 2))))))
(* (pow im 6) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow im 2)))) (pow im 2))) 1/5040))
(* (pow im 6) (- (* -1 (/ (+ 1/6 (/ 1 (pow im 2))) (pow im 4))) (+ 1/5040 (* 1/120 (/ 1 (pow im 2))))))
(* -1/120 (pow im 5))
(* -1 (* (pow im 5) (+ 1/120 (* 1/6 (/ 1 (pow im 2))))))
(* (pow im 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow im 2))) (pow im 2))) 1/120))
(* -1/120 (pow im 4))
(* -1 (* (pow im 4) (+ 1/120 (* 1/6 (/ 1 (pow im 2))))))
(* (pow im 4) (- (* -1 (/ (+ 1/6 (/ 1 (pow im 2))) (pow im 2))) 1/120))
(* -1/5040 (pow im 4))
(* -1 (* (pow im 4) (+ 1/5040 (* 1/120 (/ 1 (pow im 2))))))
(* -1/120 (pow im 3))
(* -1 (* (pow im 3) (+ 1/120 (* 1/6 (/ 1 (pow im 2))))))
(* -1 (* (pow im 7) (+ 1/5040 (+ (/ 1/6 (pow im 4)) (* 1/120 (/ 1 (pow im 2)))))))
(* -1 (* (pow im 7) (+ 1/5040 (+ (/ 1/6 (pow im 4)) (+ (* 1/120 (/ 1 (pow im 2))) (/ 1 (pow im 6)))))))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(* 1/2 (- (exp (* -1 im)) (exp im)))
(* -1 (* (pow im 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow im 2))) (/ 1 (pow im 4))))))
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))))
(* 1/2 (- (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 (*.f64 re re) #s(literal -1/24 binary64) #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))
(* 1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(+ (* -1/4 (* (pow re 2) (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))) (* 1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 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 (* -1 im)) (/ 1 (exp (* -1 im))))) (* (pow re 2) (+ (* -1/4 (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))) (* 1/48 (* (pow re 2) (- (exp (* -1 im)) (/ 1 (exp (* -1 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 (* -1 im)) (/ 1 (exp (* -1 im))))) (* (pow re 2) (+ (* -1/4 (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))) (* 1/48 (- (exp (* -1 im)) (/ 1 (exp (* -1 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))))
(* 1/2 re)
(*.f64 #s(literal 1/2 binary64) re)
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)) (/ 1 (exp (neg im))))))
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 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 (* 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) (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))))
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(cos re)
(cos.f64 re)
(* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re)))))
(*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #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 #s(literal -1/6 binary64) im) im #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)
(- (* -1/6 (pow im 2)) 1)
(-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64))
(- (* (pow im 2) (- (* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) 1/6)) 1)
(-.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 (- (* 1/2 (pow re 2)) 1))
(*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))
(pow im 2)
(*.f64 im im)
(* -1/5040 (pow im 2))
(*.f64 #s(literal -1/5040 binary64) (*.f64 im im))
(* -1/6 (pow im 2))
(*.f64 (*.f64 im im) #s(literal -1/6 binary64))
(* (pow im 2) (- (* -1/120 (pow im 2)) 1/6))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im)
(* (pow im 2) (- (* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) 1/6))
(*.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))
(* -1/120 (pow im 2))
(*.f64 #s(literal -1/120 binary64) (*.f64 im im))
(* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im)
(* -1/6 im)
(*.f64 #s(literal -1/6 binary64) im)
(* im (- (* -1/120 (pow im 2)) 1/6))
(*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im)
(* -1/5040 (pow im 7))
(*.f64 (pow.f64 im #s(literal 7 binary64)) #s(literal -1/5040 binary64))
(* -1 (* (pow im 7) (+ 1/5040 (* 1/120 (/ 1 (pow im 2))))))
(*.f64 (+.f64 (/.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal -1/5040 binary64)) (pow.f64 im #s(literal 7 binary64)))
(* (pow im 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow im 2)))) (pow im 2))) 1/5040))
(*.f64 (+.f64 (/.f64 #s(literal -1/120 binary64) (*.f64 im im)) (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/5040 binary64))) (pow.f64 im #s(literal 7 binary64)))
(* (pow im 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow im 2))) (pow im 4))) (+ 1/5040 (* 1/120 (/ 1 (pow im 2))))))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) im) im) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 im im)) #s(literal 1/5040 binary64))) (pow.f64 im #s(literal 7 binary64)))
(* -1/5040 (pow im 6))
(*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/5040 binary64))
(* -1 (* (pow im 6) (+ 1/5040 (* 1/120 (/ 1 (pow im 2))))))
(*.f64 (+.f64 (/.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal -1/5040 binary64)) (pow.f64 im #s(literal 6 binary64)))
(* (pow im 6) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow im 2)))) (pow im 2))) 1/5040))
(*.f64 (pow.f64 im #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal -1/120 binary64) (*.f64 im im)) (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/5040 binary64))))
(* (pow im 6) (- (* -1 (/ (+ 1/6 (/ 1 (pow im 2))) (pow im 4))) (+ 1/5040 (* 1/120 (/ 1 (pow im 2))))))
(*.f64 (pow.f64 im #s(literal 6 binary64)) (-.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) im) im) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 im im)) #s(literal 1/5040 binary64))))
(* -1/120 (pow im 5))
(*.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal -1/120 binary64))
(* -1 (* (pow im 5) (+ 1/120 (* 1/6 (/ 1 (pow im 2))))))
(*.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 im im)) #s(literal -1/120 binary64)) (pow.f64 im #s(literal 5 binary64)))
(* (pow im 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow im 2))) (pow im 2))) 1/120))
(*.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 im im)) (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/120 binary64))) (pow.f64 im #s(literal 5 binary64)))
(* -1/120 (pow im 4))
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/120 binary64))
(* -1 (* (pow im 4) (+ 1/120 (* 1/6 (/ 1 (pow im 2))))))
(*.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 im im)) #s(literal -1/120 binary64)) (pow.f64 im #s(literal 4 binary64)))
(* (pow im 4) (- (* -1 (/ (+ 1/6 (/ 1 (pow im 2))) (pow im 2))) 1/120))
(*.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 im im)) (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/120 binary64))) (pow.f64 im #s(literal 4 binary64)))
(* -1/5040 (pow im 4))
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/5040 binary64))
(* -1 (* (pow im 4) (+ 1/5040 (* 1/120 (/ 1 (pow im 2))))))
(*.f64 (+.f64 (/.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal -1/5040 binary64)) (pow.f64 im #s(literal 4 binary64)))
(* -1/120 (pow im 3))
(*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/120 binary64))
(* -1 (* (pow im 3) (+ 1/120 (* 1/6 (/ 1 (pow im 2))))))
(*.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 im im)) #s(literal -1/120 binary64)) (pow.f64 im #s(literal 3 binary64)))
(* -1 (* (pow im 7) (+ 1/5040 (+ (/ 1/6 (pow im 4)) (* 1/120 (/ 1 (pow im 2)))))))
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/5040 binary64)) (/.f64 #s(literal -1/120 binary64) (*.f64 im im))) (pow.f64 im #s(literal 7 binary64)))
(* -1 (* (pow im 7) (+ 1/5040 (+ (/ 1/6 (pow im 4)) (+ (* 1/120 (/ 1 (pow im 2))) (/ 1 (pow im 6)))))))
(*.f64 (neg.f64 (pow.f64 im #s(literal 7 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/5040 binary64)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) 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)))
(* 1/2 (- (exp (* -1 im)) (exp im)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(* -1 (* (pow im 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow im 2))) (/ 1 (pow im 4))))))
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/120 binary64)) (/.f64 #s(literal -1/6 binary64) (*.f64 im im))) (pow.f64 im #s(literal 5 binary64)))

rewrite484.0ms (4.5%)

Memory
29.6MiB live, 374.9MiB allocated; 199ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
056336
085325
1279316
21683316
08351316
Stop Event
iter limit
node limit
iter limit
Counts
26 → 508
Calls
Call 1
Inputs
(*.f64 #s(approx (sinh (neg im)) (*.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)) (cos.f64 re))
#s(approx (sinh (neg im)) (*.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))
(*.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)
(-.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))
#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))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)))
#s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im))
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
(sinh.f64 (neg.f64 im))
(neg.f64 im)
(/.f64 (*.f64 im im) (neg.f64 im))
(*.f64 (sinh.f64 (/.f64 (*.f64 im im) (neg.f64 im))) (cos.f64 re))
(sinh.f64 (/.f64 (*.f64 im im) (neg.f64 im)))
(*.f64 im im)
(*.f64 #s(literal -1/5040 binary64) (*.f64 im im))
(*.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))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im)
(*.f64 #s(literal 1/2 binary64) re)
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im)
(*.f64 (*.f64 #s(literal -1/120 binary64) im) im)
(cos.f64 re)
Outputs
(*.f64 (cos.f64 re) #s(approx (sinh (neg im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (sinh (neg im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)) (cos.f64 re))
#s(approx (sinh (neg im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im))
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(*.f64 (*.f64 im im) (-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))
(*.f64 im (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/14400 binary64)) (*.f64 im im))) (neg.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/128024064000 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/1728000 binary64)) (*.f64 im im))) (neg.f64 (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/604800 binary64) #s(literal 1/14400 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/14400 binary64)) (*.f64 im im)) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/128024064000 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/1728000 binary64)) (*.f64 im im)) (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/604800 binary64) #s(literal 1/14400 binary64))))
(*.f64 #s(literal 1/2 binary64) re)
(*.f64 re #s(literal 1/2 binary64))
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im)
(*.f64 im (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/14400 binary64)) #s(literal 1/36 binary64)) im)) (neg.f64 (fma.f64 (*.f64 #s(literal -1/120 binary64) im) im #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/1728000 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/216 binary64)) im)) (neg.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/14400 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64) #s(literal 1/36 binary64)))))
(/.f64 (neg.f64 (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/14400 binary64)) #s(literal 1/36 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal -1/120 binary64) im) im #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/1728000 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/216 binary64)))) (neg.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/14400 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64) #s(literal 1/36 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/14400 binary64)) #s(literal 1/36 binary64)) im) (fma.f64 (*.f64 #s(literal -1/120 binary64) im) im #s(literal 1/6 binary64)))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/1728000 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/216 binary64)) im) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/14400 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64) #s(literal 1/36 binary64))))
(/.f64 (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/14400 binary64)) #s(literal 1/36 binary64))) (fma.f64 (*.f64 #s(literal -1/120 binary64) im) im #s(literal 1/6 binary64)))
(/.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/1728000 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/216 binary64))) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/14400 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64) #s(literal 1/36 binary64))))
(*.f64 (*.f64 #s(literal -1/120 binary64) (neg.f64 im)) (neg.f64 im))
(*.f64 (*.f64 #s(literal -1/120 binary64) im) im)
(*.f64 #s(literal -1/120 binary64) (*.f64 im im))
(*.f64 (*.f64 im im) #s(literal -1/120 binary64))
(*.f64 im (*.f64 #s(literal -1/120 binary64) im))
(/.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)))

eval306.0ms (2.8%)

Memory
26.0MiB live, 345.5MiB allocated; 58ms collecting garbage
Compiler

Compiled 28 051 to 4 246 computations (84.9% saved)

prune257.0ms (2.4%)

Memory
-26.8MiB live, 236.6MiB allocated; 137ms collecting garbage
Pruning

34 alts after pruning (25 fresh and 9 done)

PrunedKeptTotal
New7839792
Fresh41620
Picked055
Done044
Total78734821
Accuracy
100.0%
Counts
821 → 34
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.3%
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 (sinh.f64 im) #s(literal 2 binary64))) (neg.f64 (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
46.6%
(*.f64 (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (*.f64 (/.f64 (neg.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
57.7%
(*.f64 (*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 1/2 binary64))
59.9%
(*.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))) #s(approx (* 2 (sinh (neg 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(literal 1/2 binary64))
45.8%
(*.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) #s(approx (pow (exp im) -2) (fma.f64 #s(literal -2 binary64) im #s(literal 1 binary64)))))))
81.5%
(*.f64 (sinh.f64 (/.f64 (*.f64 im im) (neg.f64 im))) (cos.f64 re))
99.9%
(*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re))
65.2%
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
56.3%
(*.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)))
92.7%
(*.f64 #s(approx (sinh (neg im)) (*.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)) (cos.f64 re))
87.6%
(*.f64 #s(approx (sinh (neg im)) (*.f64 (-.f64 (*.f64 (-.f64 #s(approx (* (* (- (* -1/5040 (* im im)) 1/120) im) im) (*.f64 #s(literal -1/120 binary64) (*.f64 im im))) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im)) (cos.f64 re))
79.8%
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) (cos.f64 re)) im))
79.8%
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) im) (cos.f64 re)))
51.9%
#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 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
51.3%
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) im))))
50.7%
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im)))
50.4%
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* -1/6 im) im) -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)))))
48.1%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
64.5%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
60.4%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.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)))
56.7%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)))
56.7%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.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)))
50.7%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)))
50.7%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* (* -1/120 im) im) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im)))
33.9%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) #s(approx (* (- (* (* (- (* (* -1/120 im) im) 1/6) im) im) 1) im) (*.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal -1/120 binary64)))))
34.2%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) re) re (neg.f64 im))))
35.0%
#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))))
34.9%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 re re) im) (neg.f64 im))))
33.4%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 im im) (neg.f64 im))))
34.9%
#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)))))
28.4%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 re re)) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))))))
35.5%
#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)))))
12.9%
#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))))))
27.3%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
Compiler

Compiled 2 516 to 1 081 computations (57% saved)

regimes103.0ms (1%)

Memory
16.4MiB live, 205.8MiB allocated; 14ms collecting garbage
Counts
53 → 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) (+ (* (* -1/6 im) im) -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 #s(literal 1/2 binary64) (*.f64 (*.f64 re re) 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))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* -1/120 (* im im)) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* (* -1/120 im) im) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.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) (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 (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) re) re (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.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)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) 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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.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)))
(*.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)))
#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 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 re re)) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))))))
(*.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))) #s(approx (* 2 (sinh (neg 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(literal 1/2 binary64))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) #s(approx (* (- (* (* (- (* -1/120 (* im im)) 1/6) im) im) 1) im) (*.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal -1/120 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) #s(approx (* (- (* (* (- (* (* -1/120 im) im) 1/6) im) im) 1) im) (*.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal -1/120 binary64)))))
#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) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) im) (cos.f64 re)))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) (cos.f64 re)) im))
(*.f64 #s(approx (* (cos re) (* 2 (sinh (neg im)))) (*.f64 (*.f64 (cos.f64 re) (fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64))) 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 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 (cos.f64 re) #s(approx (* 2 (sinh (neg im))) (*.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64)) im))) #s(literal 1/2 binary64))
(*.f64 #s(approx (sinh (neg im)) (*.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)) (cos.f64 re))
(*.f64 #s(approx (sinh (neg im)) (*.f64 (-.f64 (*.f64 (-.f64 #s(approx (* (* (- (* -1/5040 (* im im)) 1/120) im) im) (*.f64 #s(literal -1/120 binary64) (*.f64 im im))) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im)) (cos.f64 re))
(*.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 (sinh (neg im)) (*.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)) (cos.f64 re))
(*.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 (*.f64 (cos.f64 re) #s(approx (* 2 (sinh (neg 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(literal 1/2 binary64))
(*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re))
#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))
(*.f64 (sinh.f64 (/.f64 (*.f64 im im) (neg.f64 im))) (cos.f64 re))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* -1/6 im) im) -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 (cos.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (*.f64 im (neg.f64 im)) im)))) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 1/2 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 (cos.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (*.f64 im im))))) #s(literal 1/2 binary64))
(*.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) #s(approx (pow (exp im) -2) (fma.f64 #s(literal -2 binary64) im #s(literal 1 binary64)))))))
(*.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))))))
(*.f64 (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (*.f64 (/.f64 (neg.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 (sinh.f64 im) #s(literal 2 binary64))) (neg.f64 (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
Outputs
(*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re))
Calls

6 calls:

33.0ms
im
16.0ms
re
15.0ms
(cos.f64 re)
15.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
10.0ms
(*.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)

regimes80.0ms (0.7%)

Memory
-3.4MiB live, 175.3MiB allocated; 28ms collecting garbage
Counts
39 → 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) (+ (* (* -1/6 im) im) -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 #s(literal 1/2 binary64) (*.f64 (*.f64 re re) 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))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* -1/120 (* im im)) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* (* -1/120 im) im) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.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) (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 (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) re) re (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.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)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) 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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.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)))
(*.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)))
#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 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 re re)) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))))))
(*.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))) #s(approx (* 2 (sinh (neg 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(literal 1/2 binary64))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) #s(approx (* (- (* (* (- (* -1/120 (* im im)) 1/6) im) im) 1) im) (*.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal -1/120 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) #s(approx (* (- (* (* (- (* (* -1/120 im) im) 1/6) im) im) 1) im) (*.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal -1/120 binary64)))))
#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) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) im) (cos.f64 re)))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) (cos.f64 re)) im))
(*.f64 #s(approx (* (cos re) (* 2 (sinh (neg im)))) (*.f64 (*.f64 (cos.f64 re) (fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64))) 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 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 (cos.f64 re) #s(approx (* 2 (sinh (neg im))) (*.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64)) im))) #s(literal 1/2 binary64))
(*.f64 #s(approx (sinh (neg im)) (*.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)) (cos.f64 re))
(*.f64 #s(approx (sinh (neg im)) (*.f64 (-.f64 (*.f64 (-.f64 #s(approx (* (* (- (* -1/5040 (* im im)) 1/120) im) im) (*.f64 #s(literal -1/120 binary64) (*.f64 im im))) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im)) (cos.f64 re))
(*.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 (sinh (neg im)) (*.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)) (cos.f64 re))
(*.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 (*.f64 (cos.f64 re) #s(approx (* 2 (sinh (neg 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(literal 1/2 binary64))
Outputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
(*.f64 #s(approx (sinh (neg im)) (*.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)) (cos.f64 re))
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
Calls

6 calls:

21.0ms
(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
16.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
12.0ms
re
11.0ms
im
10.0ms
(cos.f64 re)
Results
AccuracySegmentsBranch
92.7%1(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
96.8%2(cos.f64 re)
96.8%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
99.5%3(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
96.8%2re
99.4%3im
Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes24.0ms (0.2%)

Memory
-4.9MiB live, 40.9MiB allocated; 6ms collecting garbage
Counts
36 → 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) (+ (* (* -1/6 im) im) -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 #s(literal 1/2 binary64) (*.f64 (*.f64 re re) 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))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* -1/120 (* im im)) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* (* -1/120 im) im) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.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) (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 (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) re) re (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.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)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) 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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.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)))
(*.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)))
#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 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 re re)) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))))))
(*.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))) #s(approx (* 2 (sinh (neg 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(literal 1/2 binary64))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) #s(approx (* (- (* (* (- (* -1/120 (* im im)) 1/6) im) im) 1) im) (*.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal -1/120 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) #s(approx (* (- (* (* (- (* (* -1/120 im) im) 1/6) im) im) 1) im) (*.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal -1/120 binary64)))))
#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) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) im) (cos.f64 re)))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) (cos.f64 re)) im))
(*.f64 #s(approx (* (cos re) (* 2 (sinh (neg im)))) (*.f64 (*.f64 (cos.f64 re) (fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64))) 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 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 (cos.f64 re) #s(approx (* 2 (sinh (neg im))) (*.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64)) im))) #s(literal 1/2 binary64))
(*.f64 #s(approx (sinh (neg im)) (*.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)) (cos.f64 re))
(*.f64 #s(approx (sinh (neg im)) (*.f64 (-.f64 (*.f64 (-.f64 #s(approx (* (* (- (* -1/5040 (* im im)) 1/120) im) im) (*.f64 #s(literal -1/120 binary64) (*.f64 im im))) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im)) (cos.f64 re))
(*.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)))
Outputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
(*.f64 #s(approx (sinh (neg im)) (*.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)) (cos.f64 re))
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
Calls

2 calls:

15.0ms
im
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
98.9%3im
99.3%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 13 to 13 computations (0% saved)

regimes8.0ms (0.1%)

Memory
19.8MiB live, 19.8MiB allocated; 0ms collecting garbage
Counts
33 → 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) (+ (* (* -1/6 im) im) -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 #s(literal 1/2 binary64) (*.f64 (*.f64 re re) 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))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* -1/120 (* im im)) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* (* -1/120 im) im) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.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) (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 (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) re) re (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.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)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) 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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.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)))
(*.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)))
#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 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 re re)) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))))))
(*.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))) #s(approx (* 2 (sinh (neg 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(literal 1/2 binary64))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) #s(approx (* (- (* (* (- (* -1/120 (* im im)) 1/6) im) im) 1) im) (*.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal -1/120 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) #s(approx (* (- (* (* (- (* (* -1/120 im) im) 1/6) im) im) 1) im) (*.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal -1/120 binary64)))))
#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) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) im) (cos.f64 re)))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) (cos.f64 re)) im))
(*.f64 #s(approx (* (cos re) (* 2 (sinh (neg im)))) (*.f64 (*.f64 (cos.f64 re) (fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64))) 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 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 (cos.f64 re) #s(approx (* 2 (sinh (neg im))) (*.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64)) im))) #s(literal 1/2 binary64))
Outputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) im) (cos.f64 re)))
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #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
99.2%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
-29.8MiB live, 17.1MiB allocated; 2ms collecting garbage
Counts
27 → 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) (+ (* (* -1/6 im) im) -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 #s(literal 1/2 binary64) (*.f64 (*.f64 re re) 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))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* -1/120 (* im im)) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* (* -1/120 im) im) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.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) (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 (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) re) re (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.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)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) 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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.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)))
(*.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)))
#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 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 re re)) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))))))
(*.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))) #s(approx (* 2 (sinh (neg 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(literal 1/2 binary64))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) #s(approx (* (- (* (* (- (* -1/120 (* im im)) 1/6) im) im) 1) im) (*.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal -1/120 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) #s(approx (* (- (* (* (- (* (* -1/120 im) im) 1/6) im) im) 1) im) (*.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal -1/120 binary64)))))
#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) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
Outputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #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
99.2%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)

regimes7.0ms (0.1%)

Memory
25.2MiB live, 25.2MiB allocated; 0ms collecting garbage
Counts
26 → 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) (+ (* (* -1/6 im) im) -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 #s(literal 1/2 binary64) (*.f64 (*.f64 re re) 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))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* -1/120 (* im im)) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* (* -1/120 im) im) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.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) (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 (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) re) re (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.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)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) 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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.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)))
(*.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)))
#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 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 re re)) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))))))
(*.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))) #s(approx (* 2 (sinh (neg 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(literal 1/2 binary64))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) #s(approx (* (- (* (* (- (* -1/120 (* im im)) 1/6) im) im) 1) im) (*.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal -1/120 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) #s(approx (* (- (* (* (- (* (* -1/120 im) im) 1/6) im) im) 1) im) (*.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal -1/120 binary64)))))
#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) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
Outputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 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) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
Calls

1 calls:

5.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
99.1%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 12 to 11 computations (8.3% saved)

regimes52.0ms (0.5%)

Memory
-27.8MiB live, 74.8MiB allocated; 27ms collecting garbage
Counts
25 → 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) (+ (* (* -1/6 im) im) -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 #s(literal 1/2 binary64) (*.f64 (*.f64 re re) 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))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* -1/120 (* im im)) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* (* -1/120 im) im) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.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) (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 (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) re) re (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.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)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) 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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.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)))
(*.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)))
#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 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 re re)) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))))))
(*.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))) #s(approx (* 2 (sinh (neg 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(literal 1/2 binary64))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) #s(approx (* (- (* (* (- (* -1/120 (* im im)) 1/6) im) im) 1) im) (*.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal -1/120 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) #s(approx (* (- (* (* (- (* (* -1/120 im) im) 1/6) im) im) 1) im) (*.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal -1/120 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
Outputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
(*.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))) #s(approx (* 2 (sinh (neg 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(literal 1/2 binary64))
Calls

5 calls:

22.0ms
(cos.f64 re)
9.0ms
im
7.0ms
re
7.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
5.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
81.6%4(cos.f64 re)
81.6%4(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
74.7%2re
84.6%2im
98.0%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)

regimes34.0ms (0.3%)

Memory
24.8MiB live, 72.2MiB allocated; 4ms collecting garbage
Counts
24 → 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) (+ (* (* -1/6 im) im) -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 #s(literal 1/2 binary64) (*.f64 (*.f64 re re) 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))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* -1/120 (* im im)) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* (* -1/120 im) im) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.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) (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 (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) re) re (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.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)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) 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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.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)))
(*.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)))
#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 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 re re)) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))))))
(*.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))) #s(approx (* 2 (sinh (neg 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(literal 1/2 binary64))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) #s(approx (* (- (* (* (- (* -1/120 (* im im)) 1/6) im) im) 1) im) (*.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal -1/120 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) #s(approx (* (- (* (* (- (* (* -1/120 im) im) 1/6) im) im) 1) im) (*.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal -1/120 binary64)))))
Outputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
(*.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))) #s(approx (* 2 (sinh (neg 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(literal 1/2 binary64))
Calls

5 calls:

7.0ms
im
6.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
6.0ms
(cos.f64 re)
5.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
5.0ms
(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
Results
AccuracySegmentsBranch
77.9%2(cos.f64 re)
77.9%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
64.5%1im
64.5%1(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
78.0%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 26 to 28 computations (-7.7% saved)

regimes24.0ms (0.2%)

Memory
12.3MiB live, 59.2MiB allocated; 2ms 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) (+ (* (* -1/6 im) im) -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 #s(literal 1/2 binary64) (*.f64 (*.f64 re re) 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))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* -1/120 (* im im)) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* (* -1/120 im) im) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.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) (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 (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) re) re (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.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)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) 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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.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)))
(*.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)))
#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 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 re re)) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))))))
(*.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))) #s(approx (* 2 (sinh (neg 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(literal 1/2 binary64))
Outputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.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)))
(*.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))) #s(approx (* 2 (sinh (neg 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(literal 1/2 binary64))
Calls

4 calls:

6.0ms
re
6.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
6.0ms
(cos.f64 re)
5.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
63.1%2re
73.8%2(cos.f64 re)
73.8%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
73.8%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 19 to 21 computations (-10.5% saved)

regimes7.0ms (0.1%)

Memory
-32.7MiB live, 14.4MiB allocated; 1ms collecting garbage
Counts
20 → 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) (+ (* (* -1/6 im) im) -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 #s(literal 1/2 binary64) (*.f64 (*.f64 re re) 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))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* -1/120 (* im im)) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* (* -1/120 im) im) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.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) (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 (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) re) re (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.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)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) 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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.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)))
(*.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)))
#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 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 re re)) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))))))
Outputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.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)))
#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 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
Calls

1 calls:

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
73.8%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)

regimes15.0ms (0.1%)

Memory
34.1MiB live, 34.1MiB allocated; 0ms collecting garbage
Counts
18 → 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) (+ (* (* -1/6 im) im) -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 #s(literal 1/2 binary64) (*.f64 (*.f64 re re) 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))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* -1/120 (* im im)) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* (* -1/120 im) im) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.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) (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 (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) re) re (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.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)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) 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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.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)))
(*.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)))
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)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.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)))
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
73.5%2(cos.f64 re)
73.5%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
73.4%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)

regimes20.0ms (0.2%)

Memory
-11.5MiB live, 35.5MiB allocated; 9ms collecting garbage
Counts
17 → 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) (+ (* (* -1/6 im) im) -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 #s(literal 1/2 binary64) (*.f64 (*.f64 re re) 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))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* -1/120 (* im im)) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* (* -1/120 im) im) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.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) (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 (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) re) re (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.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)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) 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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.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)))
Outputs
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.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)))
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
73.1%2(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
73.2%2(cos.f64 re)
73.2%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
Compiler

Compiled 18 to 19 computations (-5.6% saved)

regimes15.0ms (0.1%)

Memory
-11.9MiB live, 34.2MiB allocated; 2ms collecting garbage
Counts
16 → 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) (+ (* (* -1/6 im) im) -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 #s(literal 1/2 binary64) (*.f64 (*.f64 re re) 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))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* -1/120 (* im im)) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* (* -1/120 im) im) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.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) (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 (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) re) re (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.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)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) 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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re)))))
Outputs
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.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)))
Calls

3 calls:

6.0ms
(cos.f64 re)
5.0ms
(*.f64 #s(literal 1/2 binary64) (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
69.4%2(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
69.5%2(cos.f64 re)
69.5%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
Compiler

Compiled 18 to 19 computations (-5.6% saved)

regimes14.0ms (0.1%)

Memory
-14.9MiB live, 31.5MiB allocated; 3ms 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) (+ (* (* -1/6 im) im) -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 #s(literal 1/2 binary64) (*.f64 (*.f64 re re) 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))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* -1/120 (* im im)) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* (* -1/120 im) im) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.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) (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 (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) re) re (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.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)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) im) im) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) 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 (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.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)))
Calls

3 calls:

5.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
4.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
4.0ms
(cos.f64 re)
Results
AccuracySegmentsBranch
67.6%2(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
67.7%2(cos.f64 re)
67.7%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
Compiler

Compiled 18 to 19 computations (-5.6% saved)

regimes49.0ms (0.5%)

Memory
3.5MiB live, 49.7MiB allocated; 3ms collecting garbage
Counts
12 → 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) (+ (* (* -1/6 im) im) -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 #s(literal 1/2 binary64) (*.f64 (*.f64 re re) 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))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* -1/120 (* im im)) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* (* -1/120 im) im) 1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im) #s(literal 1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (-.f64 (*.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) (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 (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 (*.f64 re re) #s(literal -1/24 binary64) #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) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im)))
Calls

6 calls:

32.0ms
re
4.0ms
im
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
50.7%1re
50.7%1(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
54.3%3im
61.5%2(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
61.6%2(cos.f64 re)
61.6%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes5.0ms (0%)

Memory
9.1MiB live, 9.1MiB allocated; 0ms collecting garbage
Counts
6 → 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) (+ (* (* -1/6 im) im) -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 #s(literal 1/2 binary64) (*.f64 (*.f64 re re) 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) (+ (* (* -1/6 im) im) -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
61.6%2(cos.f64 re)
61.6%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
Compiler

Compiled 6 to 8 computations (-33.3% saved)

regimes10.0ms (0.1%)

Memory
17.0MiB live, 17.0MiB 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
re
2.0ms
im
2.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
2.0ms
(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
37.3%2(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
34.9%1re
37.3%2im
38.0%2(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
38.1%2(cos.f64 re)
38.1%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes3.0ms (0%)

Memory
5.5MiB live, 5.5MiB 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
(cos.f64 re)
1.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
Results
AccuracySegmentsBranch
38.1%2(cos.f64 re)
38.1%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
Compiler

Compiled 6 to 8 computations (-33.3% saved)

regimes40.0ms (0.4%)

Memory
-35.5MiB live, 14.2MiB allocated; 7ms 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:

34.0ms
im
1.0ms
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
27.3%1re
27.3%1im
27.3%1(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
27.3%1(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
27.3%1(cos.f64 re)
27.3%1(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
Compiler

Compiled 27 to 30 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0060883748971120874
+inf
0.0ms
-1157909.419587631
-0.2187865618179776
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0060883748971120874
+inf
0.0ms
-1157909.419587631
-0.2187865618179776
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0060883748971120874
+inf
0.0ms
-0.042609072908311785
-0.0
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0060883748971120874
+inf
0.0ms
-0.042609072908311785
-0.0
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0060883748971120874
+inf
0.0ms
-0.042609072908311785
-0.0
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0060883748971120874
+inf
0.0ms
-0.042609072908311785
-0.0
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
-0.0
4.418495121248374e-15
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.0
4.418495121248374e-15
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.0
4.418495121248374e-15
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.0006864879969911393
0.006504026347240143
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.0006864879969911393
0.006504026347240143
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.0006864879969911393
0.006504026347240143
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.0006864879969911393
0.006504026347240143
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.0006864879969911393
0.006504026347240143
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.0006864879969911393
0.006504026347240143
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
-0.0006864879969911393
0.006504026347240143
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.0006864879969911393
0.006504026347240143
Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify65.0ms (0.6%)

Memory
21.7MiB live, 64.5MiB allocated; 10ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01801375
12741375
24631375
310811337
436641337
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re))
(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 -1000000 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 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 5764607523034235/576460752303423488 binary64)) (*.f64 #s(approx (sinh (neg im)) (*.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)) (cos.f64 re)) (*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re 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 -1000000 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 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 5764607523034235/576460752303423488 binary64)) (*.f64 #s(approx (sinh (neg im)) (*.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)) (cos.f64 re)) (*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re 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 -5764607523034235/144115188075855872 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 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 5764607523034235/576460752303423488 binary64)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) im) (cos.f64 re))) (*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re 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 -5764607523034235/144115188075855872 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 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 5764607523034235/576460752303423488 binary64)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) (*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re 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 -5764607523034235/144115188075855872 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 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 5764607523034235/576460752303423488 binary64)) #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) (fma.f64 #s(literal -1/2 binary64) (*.f64 re 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 -5764607523034235/144115188075855872 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 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 5764607523034235/576460752303423488 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im)) (*.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))) #s(approx (* 2 (sinh (neg 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(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 0 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im))) (*.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))) #s(approx (* 2 (sinh (neg 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(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 0 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.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))) (*.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))) #s(approx (* 2 (sinh (neg 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(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 0 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.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))) #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 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))))
(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -1152921504606847/2305843009213693952 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))) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.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))))
(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -1152921504606847/2305843009213693952 binary64)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) im)))) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.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))))
(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -1152921504606847/2305843009213693952 binary64)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) im)))) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.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))))
(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -1152921504606847/2305843009213693952 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 (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.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))))
(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -1152921504606847/2305843009213693952 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) (+ (* (* -1/6 im) im) -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 -1152921504606847/2305843009213693952 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) (+ (* (* -1/6 im) im) -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 -1152921504606847/2305843009213693952 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 -1152921504606847/2305843009213693952 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 (sinh.f64 (neg.f64 im)) (cos.f64 re))
(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 -1000000 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 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 5764607523034235/576460752303423488 binary64)) (*.f64 #s(approx (sinh (neg im)) (*.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)) (cos.f64 re)) (*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re 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 -1000000 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 5764607523034235/576460752303423488 binary64)) (*.f64 #s(approx (sinh (neg im)) (*.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)) (cos.f64 re)) (*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re 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 -1000000 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 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 5764607523034235/576460752303423488 binary64)) (*.f64 #s(approx (sinh (neg im)) (*.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)) (cos.f64 re)) (*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re 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 -1000000 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 5764607523034235/576460752303423488 binary64)) (*.f64 #s(approx (sinh (neg im)) (*.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)) (cos.f64 re)) (*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re 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 -5764607523034235/144115188075855872 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 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 5764607523034235/576460752303423488 binary64)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) im) (cos.f64 re))) (*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re 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 -5764607523034235/144115188075855872 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 5764607523034235/576460752303423488 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) im) (cos.f64 re))) (*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re 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 -5764607523034235/144115188075855872 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 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 5764607523034235/576460752303423488 binary64)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) (*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re 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 -5764607523034235/144115188075855872 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 5764607523034235/576460752303423488 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) (*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))))
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(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)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.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))) #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 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))))
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(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -1152921504606847/2305843009213693952 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))) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.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))))
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(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -1152921504606847/2305843009213693952 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) im)))) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.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))))
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(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -1152921504606847/2305843009213693952 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (* (cos re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) im)))) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.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))))
(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -1152921504606847/2305843009213693952 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 (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.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))))
(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -1152921504606847/2305843009213693952 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) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im))))
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(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -1152921504606847/2305843009213693952 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) (+ (* (* -1/6 im) im) -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 -1152921504606847/2305843009213693952 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 (* (* (cos re) im) (+ (* (* -1/6 im) im) -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 -1152921504606847/2305843009213693952 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 -1152921504606847/2305843009213693952 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)))

derivations1.7s (15.7%)

Memory
5.8MiB live, 1 385.3MiB allocated; 226ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02991187
19391012
23446976
37902976
08001918
0126381
1387349
21286341
35237320
08363297
046260
075202
1243177
21508177
08571177
02321117
1771963
22767929
37252929
08620896
01130
01827
16427
242025
0500125
061313
090311
1293287
21702287
08367287
056336
085325
1279316
21683316
08351316
02881317
19681159
239941076
082021017
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter 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
iter limit
node limit
iter limit
node limit
Compiler

Compiled 1 419 to 180 computations (87.3% saved)

preprocess166.0ms (1.5%)

Memory
16.8MiB live, 251.1MiB allocated; 28ms collecting garbage
Remove

(negabs im)

(abs re)

Compiler

Compiled 2 970 to 464 computations (84.4% saved)

end0.0ms (0%)

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

Profiling

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