math.cos on complex, imaginary part

Time bar (total: 11.8s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 13 to 12 computations (7.7% saved)

sample2.7s (23.4%)

Memory
23.7MiB live, 3 364.2MiB allocated
Samples
1.0s2 847×1valid
820.0ms1 048×2valid
460.0ms4 361×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.0s
ival-exp: 1.0s (52.3% of total)
ival-sin: 447.0ms (22.6% of total)
ival-sub: 189.0ms (9.6% of total)
ival-mult: 141.0ms (7.1% of total)
adjust: 113.0ms (5.7% of total)
ival-neg: 37.0ms (1.9% of total)
ival-true: 6.0ms (0.3% of total)
exact: 5.0ms (0.3% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

explain228.0ms (1.9%)

Memory
16.9MiB live, 335.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1250-0-(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
00-0-(exp.f64 im)
00-0-(neg.f64 im)
00-0-(exp.f64 (neg.f64 im))
00-0-(sin.f64 re)
00-0-im
00-0-(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
00-0-(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
00-0-re
00-0-#s(literal 1/2 binary64)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))cancellation1250
Confusion
Predicted +Predicted -
+970
-28131
Precision
0.776
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+9700
-280131
Precision?
0.776
Recall?
1.0
Freqs
test
numberfreq
0131
1125
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
54.0ms92×2valid
37.0ms154×1valid
28.0ms266×0valid
Compiler

Compiled 81 to 34 computations (58% saved)

Precisions
Click to see histograms. Total time spent on operations: 94.0ms
ival-exp: 40.0ms (42.4% of total)
adjust: 20.0ms (21.2% of total)
ival-sin: 13.0ms (13.8% of total)
ival-mult: 8.0ms (8.5% of total)
ival-neg: 8.0ms (8.5% of total)
ival-sub: 4.0ms (4.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess208.0ms (1.8%)

Memory
-26.2MiB live, 277.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
02561
17057
217755
372155
4399333
01011
01711
13011
25811
317911
476510
5797010
0803810
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))
Symmetry

(negabs im)

(negabs re)

Compiler

Compiled 11 to 10 computations (9.1% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.7%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify141.0ms (1.2%)

Memory
29.3MiB live, 170.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 4 (0.0ms)

IterNodesCost
01033
01733
13033
25833
317933
476531
5797031
0803831
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
#s(literal 1/2 binary64)
(sin.f64 re)
re
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(sin.f64 re)
re
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)

localize113.0ms (1%)

Memory
5.0MiB live, 141.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(exp.f64 (neg.f64 im))
accuracy0.0
(exp.f64 im)
accuracy0.08203125
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
accuracy29.30031650551215
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
Samples
44.0ms77×1valid
38.0ms133×0valid
23.0ms46×2valid
Compiler

Compiled 35 to 12 computations (65.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-exp: 51.0ms (75.3% of total)
ival-sin: 6.0ms (8.9% of total)
ival-mult: 4.0ms (5.9% of total)
adjust: 3.0ms (4.4% of total)
ival-sub: 2.0ms (3% of total)
ival-neg: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series13.0ms (0.1%)

Memory
-37.6MiB live, 15.7MiB allocated
Counts
6 → 36
Calls
Call 1
Inputs
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
(sin.f64 re)
(exp.f64 im)
(exp.f64 (neg.f64 im))
Outputs
(* 1/2 (* re (- (exp (neg im)) (exp im))))
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im))))))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp im)))))))))
(* 1/2 re)
(* re (+ 1/2 (* -1/12 (pow re 2))))
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))
re
(* re (+ 1 (* -1/6 (pow re 2))))
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (sin re))
(sin re)
(* -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 (sin re)))
(* im (+ (* -1 (sin re)) (* -1/6 (* (pow im 2) (sin re)))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* -1/120 (* (pow im 2) (sin re)))))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* (pow im 2) (+ (* -1/120 (sin re)) (* -1/5040 (* (pow im 2) (sin re)))))))))
1
(+ 1 im)
(+ 1 (* im (+ 1 (* 1/2 im))))
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))
(+ 1 (* -1 im))
(+ 1 (* im (- (* 1/2 im) 1)))
(+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1)))
(- (exp (neg im)) (exp im))
(exp im)
(exp (neg im))
(- (exp (* -1 im)) (exp im))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(exp (* -1 im))
Calls

6 calls:

TimeVariablePointExpression
7.0ms
im
@inf
((- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (exp im) (exp (neg im)))
2.0ms
im
@0
((- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (exp im) (exp (neg im)))
1.0ms
re
@inf
((- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (exp im) (exp (neg im)))
1.0ms
re
@0
((- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (exp im) (exp (neg im)))
1.0ms
im
@-inf
((- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (exp im) (exp (neg im)))

simplify186.0ms (1.6%)

Memory
46.5MiB live, 233.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0146434
1474401
21567388
34246378
08228351
Stop Event
iter limit
node limit
Counts
36 → 35
Calls
Call 1
Inputs
(* 1/2 (* re (- (exp (neg im)) (exp im))))
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im))))))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp im)))))))))
(* 1/2 re)
(* re (+ 1/2 (* -1/12 (pow re 2))))
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))
re
(* re (+ 1 (* -1/6 (pow re 2))))
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (sin re))
(sin re)
(* -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 (sin re)))
(* im (+ (* -1 (sin re)) (* -1/6 (* (pow im 2) (sin re)))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* -1/120 (* (pow im 2) (sin re)))))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* (pow im 2) (+ (* -1/120 (sin re)) (* -1/5040 (* (pow im 2) (sin re)))))))))
1
(+ 1 im)
(+ 1 (* im (+ 1 (* 1/2 im))))
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))
(+ 1 (* -1 im))
(+ 1 (* im (- (* 1/2 im) 1)))
(+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1)))
(- (exp (neg im)) (exp im))
(exp im)
(exp (neg im))
(- (exp (* -1 im)) (exp im))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(exp (* -1 im))
Outputs
(* 1/2 (* re (- (exp (neg im)) (exp im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im))))))))
(*.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) #s(literal 1/2 binary64))) re)
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp im)))))))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/10080 binary64) (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(* 1/2 re)
(*.f64 #s(literal 1/2 binary64) re)
(* re (+ 1/2 (* -1/12 (pow re 2))))
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/10080 binary64) (-.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64))) (*.f64 #s(literal 1/2 binary64) re))
re
(* re (+ 1 (* -1/6 (pow re 2))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re)
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 re re)) #s(literal 1/6 binary64)) re)
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 re re)) #s(literal 1/6 binary64))) re)
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (sin re))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
(sin re)
(sin.f64 re)
(* -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 (sin re)))
(*.f64 (neg.f64 (sin.f64 re)) im)
(* im (+ (* -1 (sin re)) (* -1/6 (* (pow im 2) (sin re)))))
(*.f64 (*.f64 (sin.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* -1/120 (* (pow im 2) (sin re)))))))
(*.f64 (*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im)
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* (pow im 2) (+ (* -1/120 (sin re)) (* -1/5040 (* (pow im 2) (sin re)))))))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)) #s(literal -1/6 binary64))) (*.f64 (neg.f64 (sin.f64 re)) im))
1
#s(literal 1 binary64)
(+ 1 im)
(+.f64 #s(literal 1 binary64) im)
(+ 1 (* im (+ 1 (* 1/2 im))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) im #s(literal 1 binary64))
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) im #s(literal 1/2 binary64)) im #s(literal 1 binary64)) im #s(literal 1 binary64))
(+ 1 (* -1 im))
(-.f64 #s(literal 1 binary64) im)
(+ 1 (* im (- (* 1/2 im) 1)))
(fma.f64 (-.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))
(- (exp (neg im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp im)
(exp.f64 im)
(exp (neg im))
(exp.f64 (neg.f64 im))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(exp (* -1 im))
(exp.f64 (neg.f64 im))

rewrite276.0ms (2.3%)

Memory
-34.5MiB live, 266.5MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01028
01728
14328
226826
3324326
0918726
Stop Event
iter limit
node limit
iter limit
Counts
6 → 351
Calls
Call 1
Inputs
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
(sin.f64 re)
(exp.f64 im)
(exp.f64 (neg.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 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal -3 binary64) im)))) (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) im))) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))))
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(fma.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 im)) (*.f64 #s(literal 1 binary64) (cosh.f64 im)))
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(fma.f64 (sinh.f64 (neg.f64 im)) #s(literal 1 binary64) (*.f64 (cosh.f64 im) #s(literal 1 binary64)))
(sqrt.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)))
(-.f64 (/.f64 (pow.f64 (cosh.f64 im) #s(literal 2 binary64)) (exp.f64 im)) (/.f64 (pow.f64 (sinh.f64 im) #s(literal 2 binary64)) (exp.f64 im)))
(-.f64 (/.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (fma.f64 (sinh.f64 im) (exp.f64 im) (pow.f64 (cosh.f64 im) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64)) (fma.f64 (sinh.f64 im) (exp.f64 im) (pow.f64 (cosh.f64 im) #s(literal 2 binary64)))))
(-.f64 (cosh.f64 im) (sinh.f64 im))
(fabs.f64 (-.f64 (/.f64 (pow.f64 (sinh.f64 im) #s(literal 2 binary64)) (exp.f64 im)) (/.f64 (pow.f64 (cosh.f64 im) #s(literal 2 binary64)) (exp.f64 im))))
(fabs.f64 (-.f64 (/.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64)) (fma.f64 (sinh.f64 im) (exp.f64 im) (pow.f64 (cosh.f64 im) #s(literal 2 binary64)))) (/.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (fma.f64 (sinh.f64 im) (exp.f64 im) (pow.f64 (cosh.f64 im) #s(literal 2 binary64))))))
(fabs.f64 (neg.f64 (-.f64 (sinh.f64 im) (cosh.f64 im))))
(fabs.f64 (*.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (neg.f64 (exp.f64 im))))
(fabs.f64 (-.f64 (sinh.f64 im) (cosh.f64 im)))
(fabs.f64 (/.f64 #s(literal -1 binary64) (exp.f64 im)))
(fabs.f64 (exp.f64 (neg.f64 im)))
(exp.f64 (fma.f64 #s(literal -3 binary64) im (*.f64 #s(literal 2 binary64) im)))
(exp.f64 (fma.f64 #s(literal -2 binary64) im im))
(exp.f64 (*.f64 (neg.f64 im) #s(literal 1 binary64)))
(exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) im) #s(literal 2 binary64)))
(exp.f64 (neg.f64 im))
(+.f64 (*.f64 (sinh.f64 (neg.f64 im)) #s(literal 1 binary64)) (*.f64 (cosh.f64 im) #s(literal 1 binary64)))
(+.f64 (*.f64 (cosh.f64 im) #s(literal 1 binary64)) (*.f64 (sinh.f64 (neg.f64 im)) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 im))) (*.f64 #s(literal 1 binary64) (cosh.f64 im)))
(+.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 im))))
(+.f64 (/.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (-.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) im)) (*.f64 (cosh.f64 im) (sinh.f64 (neg.f64 im))))) (/.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64)) (-.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) im)) (*.f64 (cosh.f64 im) (sinh.f64 (neg.f64 im))))))
(+.f64 (cosh.f64 im) (sinh.f64 (neg.f64 im)))
(+.f64 (sinh.f64 (neg.f64 im)) (cosh.f64 im))

eval92.0ms (0.8%)

Memory
-4.9MiB live, 97.8MiB allocated
Compiler

Compiled 9 878 to 1 597 computations (83.8% saved)

prune16.0ms (0.1%)

Memory
-0.5MiB live, 44.7MiB allocated
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New37112383
Fresh000
Picked101
Done000
Total37212384
Accuracy
99.9%
Counts
384 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.3%
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal -3 binary64) im))) (sin.f64 re)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) im)) #s(literal 1 binary64)))
49.3%
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal -3 binary64) im))) (sin.f64 re)) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -6 binary64)))) (+.f64 (-.f64 (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))) (pow.f64 (exp.f64 im) #s(literal -4 binary64))))
99.9%
(*.f64 (*.f64 (sin.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64))
49.3%
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal -3 binary64) im))) (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) im)) #s(literal 1 binary64))))
64.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im)))
91.7%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg 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)))
89.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg 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)))
84.4%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
51.2%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
87.9%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
81.5%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
51.0%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 (sin.f64 re)) im))
Compiler

Compiled 546 to 426 computations (22% saved)

simplify180.0ms (1.5%)

Memory
6.4MiB live, 150.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 1/2 binary64) re)
cost-diff0
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
cost-diff0
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
cost-diff1
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
cost-diff0
#s(approx (- (exp (neg 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
(sin.f64 re)
cost-diff0
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
cost-diff0
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
cost-diff0
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im))
cost-diff0
(sin.f64 re)
cost-diff0
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
cost-diff0
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
cost-diff0
(sin.f64 re)
cost-diff0
(neg.f64 (sin.f64 re))
cost-diff0
(*.f64 (neg.f64 (sin.f64 re)) im)
cost-diff0
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 (sin.f64 re)) im))
cost-diff0
(*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))
cost-diff0
(sin.f64 re)
cost-diff0
(*.f64 (sin.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))))
cost-diff4
(*.f64 (*.f64 (sin.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
044301
072300
1130298
2264296
3642286
43069286
08238286
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (sin.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64))
(*.f64 (sin.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))))
(sin.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 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 (sin.f64 re)) im))
(*.f64 (neg.f64 (sin.f64 re)) im)
(neg.f64 (sin.f64 re))
(sin.f64 re)
re
im
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
#s(literal 1/2 binary64)
(sin.f64 re)
re
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im))
(*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)
(-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64))
(*.f64 (*.f64 im im) #s(literal -1/3 binary64))
(*.f64 im im)
im
#s(literal -1/3 binary64)
#s(literal 2 binary64)
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg 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) (sin.f64 re))
#s(literal 1/2 binary64)
(sin.f64 re)
re
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im)
(*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im)
(-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64))
(*.f64 #s(literal -1/60 binary64) (*.f64 im im))
#s(literal -1/60 binary64)
(*.f64 im im)
im
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 #s(literal 1/2 binary64) re)
#s(literal 1/2 binary64)
re
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)
Outputs
(*.f64 (*.f64 (sin.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64))
(*.f64 (sinh.f64 (neg.f64 im)) (sin.f64 re))
(*.f64 (sin.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))))
(*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 re)) (sinh.f64 (neg.f64 im)))
(sin.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 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 (sin.f64 re)) im))
(*.f64 (neg.f64 (sin.f64 re)) im)
(neg.f64 (sin.f64 re))
(sin.f64 re)
re
im
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64)) im)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
#s(literal 1/2 binary64)
(sin.f64 re)
re
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im))
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64)) im))
(*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)
(*.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64)) im)
(-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64))
(-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))
(*.f64 (*.f64 im im) #s(literal -1/3 binary64))
(*.f64 #s(literal -1/3 binary64) (*.f64 im im))
(*.f64 im im)
im
#s(literal -1/3 binary64)
#s(literal 2 binary64)
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg 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 (neg 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) (sin.f64 re)))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
#s(literal 1/2 binary64)
(sin.f64 re)
re
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im)
(*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im)
(-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64))
(*.f64 #s(literal -1/60 binary64) (*.f64 im im))
#s(literal -1/60 binary64)
(*.f64 im im)
im
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (*.f64 (sinh.f64 (neg.f64 im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 #s(literal 1/2 binary64) re)
#s(literal 1/2 binary64)
re
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(*.f64 (sinh.f64 (neg.f64 im)) #s(literal 2 binary64))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)

localize231.0ms (2%)

Memory
16.8MiB live, 152.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(exp.f64 im)
accuracy0.08203125
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
accuracy29.30031650551215
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
accuracy32.498818504648874
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
accuracy0.08203125
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg 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)))
accuracy0.10546875
(*.f64 #s(literal -1/60 binary64) (*.f64 im im))
accuracy0.22265625
(*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im)
accuracy6.929247944412894
#s(approx (- (exp (neg 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))
accuracy0.015625
(*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)
accuracy0.08203125
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
accuracy0.23046875
(*.f64 (*.f64 im im) #s(literal -1/3 binary64))
accuracy9.847010633226317
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im))
accuracy0.0
(sin.f64 re)
accuracy0.0
(neg.f64 (sin.f64 re))
accuracy0.140625
(*.f64 (neg.f64 (sin.f64 re)) im)
accuracy31.26260047721557
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 (sin.f64 re)) im))
accuracy0.0
(sin.f64 re)
accuracy0.0
(neg.f64 im)
accuracy0.00390625
(sinh.f64 (neg.f64 im))
accuracy0.08203125
(*.f64 (sin.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))))
Samples
102.0ms77×1valid
35.0ms46×2valid
34.0ms133×0valid
Compiler

Compiled 237 to 33 computations (86.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 76.0ms
ival-mult: 23.0ms (30.4% of total)
ival-exp: 20.0ms (26.4% of total)
const: 10.0ms (13.2% of total)
adjust: 7.0ms (9.2% of total)
ival-sin: 6.0ms (7.9% of total)
ival-sub: 6.0ms (7.9% of total)
ival-neg: 2.0ms (2.6% of total)
ival-sinh: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series68.0ms (0.6%)

Memory
-24.9MiB live, 28.4MiB allocated
Counts
23 → 72
Calls
Call 1
Inputs
(*.f64 (*.f64 (sin.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64))
(*.f64 (sin.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))))
(sin.f64 re)
(*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 (sin.f64 re)) im))
(*.f64 (neg.f64 (sin.f64 re)) im)
(neg.f64 (sin.f64 re))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg 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 (neg 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 (exp.f64 (neg.f64 im)) (exp.f64 im))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 #s(literal 1/2 binary64) re)
(sinh.f64 (neg.f64 im))
(neg.f64 im)
(*.f64 (*.f64 im im) #s(literal -1/3 binary64))
(*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)
(*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im)
(*.f64 #s(literal -1/60 binary64) (*.f64 im im))
(exp.f64 im)
Outputs
(* 1/2 (* re (- (exp (neg im)) (/ 1 (exp (neg im))))))
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im)))))))
(* re (+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))))))
(* re (+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/240 (- (exp (neg im)) (/ 1 (exp (neg im)))))))))))
(* re (- (exp (neg im)) (/ 1 (exp (neg im)))))
(* re (- (+ (exp (neg im)) (* -1/6 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))) (/ 1 (exp (neg im)))))
(* re (- (+ (exp (neg im)) (* (pow re 2) (+ (* -1/6 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/120 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))))) (/ 1 (exp (neg im)))))
(* re (- (+ (exp (neg im)) (* (pow re 2) (+ (* -1/6 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/5040 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/120 (- (exp (neg im)) (/ 1 (exp (neg im)))))))))) (/ 1 (exp (neg im)))))
re
(* re (+ 1 (* -1/6 (pow re 2))))
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))
(* 1/2 (* re (- (exp (neg im)) (exp im))))
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im))))))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp im)))))))))
(* -1 (* im re))
(* re (+ (* -1 im) (* 1/6 (* im (pow re 2)))))
(* re (+ (* -1 im) (* (pow re 2) (+ (* -1/120 (* im (pow re 2))) (* 1/6 im)))))
(* re (+ (* -1 im) (* (pow re 2) (+ (* 1/6 im) (* (pow re 2) (+ (* -1/120 im) (* 1/5040 (* im (pow re 2)))))))))
(* -1 re)
(* re (- (* 1/6 (pow re 2)) 1))
(* re (- (* (pow re 2) (+ 1/6 (* -1/120 (pow re 2)))) 1))
(* re (- (* (pow re 2) (+ 1/6 (* (pow re 2) (- (* 1/5040 (pow re 2)) 1/120)))) 1))
(* 1/2 re)
(* re (+ 1/2 (* -1/12 (pow re 2))))
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))
(* 1/2 (* (sin re) (- (exp (neg im)) (/ 1 (exp (neg im))))))
(* (sin re) (- (exp (neg im)) (/ 1 (exp (neg im)))))
(sin re)
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* -1 (* im (sin re)))
(* -1 (sin re))
(* 1/2 (sin re))
(* im (+ (* -1 (sin re)) (* -1/6 (* (pow im 2) (sin re)))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* -1/120 (* (pow im 2) (sin re)))))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* (pow im 2) (+ (* -1/120 (sin re)) (* -1/5040 (* (pow im 2) (sin re)))))))))
(* -2 (* im (sin re)))
(* im (+ (* -2 (sin re)) (* -1/3 (* (pow im 2) (sin re)))))
(* im (+ (* -2 (sin re)) (* (pow im 2) (+ (* -1/3 (sin re)) (* -1/60 (* (pow im 2) (sin re)))))))
(* im (+ (* -2 (sin re)) (* (pow im 2) (+ (* -1/3 (sin re)) (* (pow im 2) (+ (* -1/60 (sin re)) (* -1/2520 (* (pow im 2) (sin re)))))))))
(* -2 im)
(* im (- (* -1/3 (pow im 2)) 2))
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
(* -1 im)
(* im (- (* -1/6 (pow im 2)) 1))
(* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) 1/6)) 1))
(* -1/3 (pow im 2))
(* -1/3 im)
(* im (- (* -1/60 (pow im 2)) 1/3))
(* -1/60 (pow im 2))
1
(+ 1 im)
(+ 1 (* im (+ 1 (* 1/2 im))))
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))
(- (exp (neg im)) (/ 1 (exp (neg im))))
(- (exp (neg im)) (exp im))
(* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im)))))
(* -1/3 (pow im 3))
(* -1 (* (pow im 3) (+ 1/3 (* 2 (/ 1 (pow im 2))))))
(* -1/60 (pow im 3))
(* -1 (* (pow im 3) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(exp im)
(* 1/2 (* (sin re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))))
(* (sin re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))
(- (exp (* -1 im)) (/ 1 (exp (* -1 im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(- (exp (* -1 im)) (exp im))
(* 1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))
Calls

6 calls:

TimeVariablePointExpression
46.0ms
re
@-inf
((* (* (sin re) (* 2 (sinh (neg im)))) 1/2) (* (sin re) (* 2 (sinh (neg im)))) (sin re) (* 2 (sinh (neg im))) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg (sin re)) im) (neg (sin re)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (- (exp (neg im)) (exp im)) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* 1/2 re) (sinh (neg im)) (neg im) (* (* im im) -1/3) (* (- (* (* im im) -1/3) 2) im) (* (- (* -1/60 (* im im)) 1/3) im) (* -1/60 (* im im)) (exp im))
7.0ms
im
@inf
((* (* (sin re) (* 2 (sinh (neg im)))) 1/2) (* (sin re) (* 2 (sinh (neg im)))) (sin re) (* 2 (sinh (neg im))) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg (sin re)) im) (neg (sin re)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (- (exp (neg im)) (exp im)) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* 1/2 re) (sinh (neg im)) (neg im) (* (* im im) -1/3) (* (- (* (* im im) -1/3) 2) im) (* (- (* -1/60 (* im im)) 1/3) im) (* -1/60 (* im im)) (exp im))
4.0ms
im
@-inf
((* (* (sin re) (* 2 (sinh (neg im)))) 1/2) (* (sin re) (* 2 (sinh (neg im)))) (sin re) (* 2 (sinh (neg im))) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg (sin re)) im) (neg (sin re)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (- (exp (neg im)) (exp im)) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* 1/2 re) (sinh (neg im)) (neg im) (* (* im im) -1/3) (* (- (* (* im im) -1/3) 2) im) (* (- (* -1/60 (* im im)) 1/3) im) (* -1/60 (* im im)) (exp im))
3.0ms
re
@0
((* (* (sin re) (* 2 (sinh (neg im)))) 1/2) (* (sin re) (* 2 (sinh (neg im)))) (sin re) (* 2 (sinh (neg im))) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg (sin re)) im) (neg (sin re)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (- (exp (neg im)) (exp im)) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* 1/2 re) (sinh (neg im)) (neg im) (* (* im im) -1/3) (* (- (* (* im im) -1/3) 2) im) (* (- (* -1/60 (* im im)) 1/3) im) (* -1/60 (* im im)) (exp im))
3.0ms
im
@0
((* (* (sin re) (* 2 (sinh (neg im)))) 1/2) (* (sin re) (* 2 (sinh (neg im)))) (sin re) (* 2 (sinh (neg im))) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg (sin re)) im) (neg (sin re)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (- (exp (neg im)) (exp im)) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* 1/2 re) (sinh (neg im)) (neg im) (* (* im im) -1/3) (* (- (* (* im im) -1/3) 2) im) (* (- (* -1/60 (* im im)) 1/3) im) (* -1/60 (* im im)) (exp im))

simplify264.0ms (2.2%)

Memory
9.2MiB live, 208.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02711069
1923911
23519875
37878875
08052826
Stop Event
iter limit
node limit
Counts
72 → 71
Calls
Call 1
Inputs
(* 1/2 (* re (- (exp (neg im)) (/ 1 (exp (neg im))))))
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im)))))))
(* re (+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))))))
(* re (+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/240 (- (exp (neg im)) (/ 1 (exp (neg im)))))))))))
(* re (- (exp (neg im)) (/ 1 (exp (neg im)))))
(* re (- (+ (exp (neg im)) (* -1/6 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))) (/ 1 (exp (neg im)))))
(* re (- (+ (exp (neg im)) (* (pow re 2) (+ (* -1/6 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/120 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))))) (/ 1 (exp (neg im)))))
(* re (- (+ (exp (neg im)) (* (pow re 2) (+ (* -1/6 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/5040 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/120 (- (exp (neg im)) (/ 1 (exp (neg im)))))))))) (/ 1 (exp (neg im)))))
re
(* re (+ 1 (* -1/6 (pow re 2))))
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))
(* 1/2 (* re (- (exp (neg im)) (exp im))))
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im))))))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp im)))))))))
(* -1 (* im re))
(* re (+ (* -1 im) (* 1/6 (* im (pow re 2)))))
(* re (+ (* -1 im) (* (pow re 2) (+ (* -1/120 (* im (pow re 2))) (* 1/6 im)))))
(* re (+ (* -1 im) (* (pow re 2) (+ (* 1/6 im) (* (pow re 2) (+ (* -1/120 im) (* 1/5040 (* im (pow re 2)))))))))
(* -1 re)
(* re (- (* 1/6 (pow re 2)) 1))
(* re (- (* (pow re 2) (+ 1/6 (* -1/120 (pow re 2)))) 1))
(* re (- (* (pow re 2) (+ 1/6 (* (pow re 2) (- (* 1/5040 (pow re 2)) 1/120)))) 1))
(* 1/2 re)
(* re (+ 1/2 (* -1/12 (pow re 2))))
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))
(* 1/2 (* (sin re) (- (exp (neg im)) (/ 1 (exp (neg im))))))
(* (sin re) (- (exp (neg im)) (/ 1 (exp (neg im)))))
(sin re)
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* -1 (* im (sin re)))
(* -1 (sin re))
(* 1/2 (sin re))
(* im (+ (* -1 (sin re)) (* -1/6 (* (pow im 2) (sin re)))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* -1/120 (* (pow im 2) (sin re)))))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* (pow im 2) (+ (* -1/120 (sin re)) (* -1/5040 (* (pow im 2) (sin re)))))))))
(* -2 (* im (sin re)))
(* im (+ (* -2 (sin re)) (* -1/3 (* (pow im 2) (sin re)))))
(* im (+ (* -2 (sin re)) (* (pow im 2) (+ (* -1/3 (sin re)) (* -1/60 (* (pow im 2) (sin re)))))))
(* im (+ (* -2 (sin re)) (* (pow im 2) (+ (* -1/3 (sin re)) (* (pow im 2) (+ (* -1/60 (sin re)) (* -1/2520 (* (pow im 2) (sin re)))))))))
(* -2 im)
(* im (- (* -1/3 (pow im 2)) 2))
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
(* -1 im)
(* im (- (* -1/6 (pow im 2)) 1))
(* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) 1/6)) 1))
(* -1/3 (pow im 2))
(* -1/3 im)
(* im (- (* -1/60 (pow im 2)) 1/3))
(* -1/60 (pow im 2))
1
(+ 1 im)
(+ 1 (* im (+ 1 (* 1/2 im))))
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))
(- (exp (neg im)) (/ 1 (exp (neg im))))
(- (exp (neg im)) (exp im))
(* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im)))))
(* -1/3 (pow im 3))
(* -1 (* (pow im 3) (+ 1/3 (* 2 (/ 1 (pow im 2))))))
(* -1/60 (pow im 3))
(* -1 (* (pow im 3) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(exp im)
(* 1/2 (* (sin re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))))
(* (sin re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))
(- (exp (* -1 im)) (/ 1 (exp (* -1 im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(- (exp (* -1 im)) (exp im))
(* 1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))
Outputs
(* 1/2 (* re (- (exp (neg im)) (/ 1 (exp (neg im))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* re (+ (* -1/12 (* (pow re 2) (- (exp (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)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re))
(* re (+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(* re (+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/240 (- (exp (neg im)) (/ 1 (exp (neg im)))))))))))
(*.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) re)
(* re (- (exp (neg im)) (/ 1 (exp (neg im)))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) re)
(* re (- (+ (exp (neg im)) (* -1/6 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))) (/ 1 (exp (neg im)))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) re)
(* re (- (+ (exp (neg im)) (* (pow re 2) (+ (* -1/6 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/120 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))))) (/ 1 (exp (neg im)))))
(*.f64 (fma.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64))) (*.f64 re re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) re)
(* re (- (+ (exp (neg im)) (* (pow re 2) (+ (* -1/6 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/5040 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/120 (- (exp (neg im)) (/ 1 (exp (neg im)))))))))) (/ 1 (exp (neg im)))))
(*.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) re)
re
(* re (+ 1 (* -1/6 (pow re 2))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re)
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 re re)) #s(literal 1/6 binary64)) re)
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 re re)) #s(literal 1/6 binary64))) re)
(* 1/2 (* re (- (exp (neg im)) (exp im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im))))))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp im)))))))))
(*.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) re)
(* -1 (* im re))
(*.f64 (neg.f64 re) im)
(* re (+ (* -1 im) (* 1/6 (* im (pow re 2)))))
(*.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re)
(* re (+ (* -1 im) (* (pow re 2) (+ (* -1/120 (* im (pow re 2))) (* 1/6 im)))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (*.f64 im (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))) (*.f64 (neg.f64 re) im))
(* re (+ (* -1 im) (* (pow re 2) (+ (* 1/6 im) (* (pow re 2) (+ (* -1/120 im) (* 1/5040 (* im (pow re 2)))))))))
(*.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 im (fma.f64 (*.f64 #s(literal 1/5040 binary64) re) re #s(literal -1/120 binary64))) (*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64)))) re)
(* -1 re)
(neg.f64 re)
(* re (- (* 1/6 (pow re 2)) 1))
(*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) #s(literal 1 binary64)) re)
(* re (- (* (pow re 2) (+ 1/6 (* -1/120 (pow re 2)))) 1))
(*.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/120 binary64) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) #s(literal 1 binary64))) re)
(* re (- (* (pow re 2) (+ 1/6 (* (pow re 2) (- (* 1/5040 (pow re 2)) 1/120)))) 1))
(*.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 re re)) #s(literal 1/120 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) #s(literal 1 binary64))) re)
(* 1/2 re)
(*.f64 #s(literal 1/2 binary64) re)
(* re (+ 1/2 (* -1/12 (pow re 2))))
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/10080 binary64) (-.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64))) (*.f64 #s(literal 1/2 binary64) re))
(* 1/2 (* (sin re) (- (exp (neg im)) (/ 1 (exp (neg im))))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))
(* (sin re) (- (exp (neg im)) (/ 1 (exp (neg im)))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (sin.f64 re))
(sin re)
(sin.f64 re)
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))
(* -1 (* im (sin re)))
(*.f64 (neg.f64 (sin.f64 re)) im)
(* -1 (sin re))
(neg.f64 (sin.f64 re))
(* 1/2 (sin re))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
(* im (+ (* -1 (sin re)) (* -1/6 (* (pow im 2) (sin re)))))
(*.f64 (*.f64 (sin.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* -1/120 (* (pow im 2) (sin re)))))))
(*.f64 (fma.f64 (*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64))) (*.f64 im im) (neg.f64 (sin.f64 re))) im)
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* (pow im 2) (+ (* -1/120 (sin re)) (* -1/5040 (* (pow im 2) (sin re)))))))))
(*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) (*.f64 (sin.f64 re) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) im)
(* -2 (* im (sin re)))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 re)) im)
(* im (+ (* -2 (sin re)) (* -1/3 (* (pow im 2) (sin re)))))
(*.f64 (*.f64 (sin.f64 re) (fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64))) im)
(* im (+ (* -2 (sin re)) (* (pow im 2) (+ (* -1/3 (sin re)) (* -1/60 (* (pow im 2) (sin re)))))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (sin.f64 re) (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 re)) im))
(* im (+ (* -2 (sin re)) (* (pow im 2) (+ (* -1/3 (sin re)) (* (pow im 2) (+ (* -1/60 (sin re)) (* -1/2520 (* (pow im 2) (sin re)))))))))
(*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) (*.f64 (sin.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)
(* -1 im)
(neg.f64 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 (*.f64 im im) #s(literal -1/120 binary64)) #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 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im)
(* -1/3 (pow im 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 im im))
(* -1/3 im)
(*.f64 #s(literal -1/3 binary64) im)
(* im (- (* -1/60 (pow im 2)) 1/3))
(*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im)
(* -1/60 (pow im 2))
(*.f64 #s(literal -1/60 binary64) (*.f64 im im))
1
#s(literal 1 binary64)
(+ 1 im)
(+.f64 #s(literal 1 binary64) im)
(+ 1 (* im (+ 1 (* 1/2 im))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) im #s(literal 1 binary64))
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) im #s(literal 1/2 binary64)) im #s(literal 1 binary64)) im #s(literal 1 binary64))
(- (exp (neg im)) (/ 1 (exp (neg im))))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(- (exp (neg im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im)))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(* -1/3 (pow im 3))
(*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/3 binary64))
(* -1 (* (pow im 3) (+ 1/3 (* 2 (/ 1 (pow im 2))))))
(*.f64 (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 im im)) #s(literal -1/3 binary64)) (pow.f64 im #s(literal 3 binary64)))
(* -1/60 (pow im 3))
(*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/60 binary64))
(* -1 (* (pow im 3) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(*.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal -1/60 binary64)) (pow.f64 im #s(literal 3 binary64)))
(exp im)
(exp.f64 im)
(* 1/2 (* (sin re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))
(* (sin re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (sin.f64 re))
(- (exp (* -1 im)) (/ 1 (exp (* -1 im))))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* 1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))

rewrite76.0ms (0.6%)

Memory
-3.4MiB live, 44.0MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
044207
072206
1183192
0973192
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
23 → 174
Calls
Call 1
Inputs
(*.f64 (*.f64 (sin.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64))
(*.f64 (sin.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))))
(sin.f64 re)
(*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 (sin.f64 re)) im))
(*.f64 (neg.f64 (sin.f64 re)) im)
(neg.f64 (sin.f64 re))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg 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 (neg 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 (exp.f64 (neg.f64 im)) (exp.f64 im))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 #s(literal 1/2 binary64) re)
(sinh.f64 (neg.f64 im))
(neg.f64 im)
(*.f64 (*.f64 im im) #s(literal -1/3 binary64))
(*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)
(*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im)
(*.f64 #s(literal -1/60 binary64) (*.f64 im im))
(exp.f64 im)
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sin.f64 re))) (sinh.f64 (neg.f64 im)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 re)) (sinh.f64 (neg.f64 im))) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 re)) (*.f64 (sinh.f64 (neg.f64 im)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))))
(*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 re)) (sinh.f64 (neg.f64 im))))
(*.f64 (sinh.f64 (neg.f64 im)) (sin.f64 re))
(*.f64 (sin.f64 re) (sinh.f64 (neg.f64 im)))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re))) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 3 binary64))) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re))) (+.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 3 binary64))) (pow.f64 (exp.f64 im) #s(literal 3 binary64)))) (+.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64)))))
(*.f64 (*.f64 (sinh.f64 (neg.f64 im)) (sin.f64 re)) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 re)) (sinh.f64 (neg.f64 im)))
(*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))) (sin.f64 re))
(*.f64 (sinh.f64 (neg.f64 im)) (*.f64 #s(literal 2 binary64) (sin.f64 re)))
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (neg.f64 im)) (sin.f64 re)))
(*.f64 (sin.f64 re) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))))
(/.f64 (*.f64 (sin.f64 re) (-.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(/.f64 (*.f64 (sin.f64 re) (-.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 3 binary64))) (pow.f64 (exp.f64 im) #s(literal 3 binary64)))) (+.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 re)) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)))) #s(literal 2 binary64))
(neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 re)) (sinh.f64 im)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sin.f64 re))) (sinh.f64 (neg.f64 im)) (*.f64 (sinh.f64 (neg.f64 im)) (sin.f64 re)))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 re)) (sinh.f64 (neg.f64 im))) #s(literal 1/2 binary64) (*.f64 (sinh.f64 (neg.f64 im)) (sin.f64 re)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sin.f64 re)) (*.f64 (sinh.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (*.f64 (sinh.f64 (neg.f64 im)) (sin.f64 re)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))) (*.f64 (sinh.f64 (neg.f64 im)) (sin.f64 re)))
(fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (*.f64 (sinh.f64 (neg.f64 im)) (sin.f64 re)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 re)) (sinh.f64 (neg.f64 im))) (*.f64 (sinh.f64 (neg.f64 im)) (sin.f64 re)))
(fma.f64 (sinh.f64 (neg.f64 im)) (sin.f64 re) (*.f64 (sinh.f64 (neg.f64 im)) (sin.f64 re)))
(fma.f64 (sin.f64 re) (sinh.f64 (neg.f64 im)) (*.f64 (sinh.f64 (neg.f64 im)) (sin.f64 re)))
(+.f64 (*.f64 (sinh.f64 (neg.f64 im)) (sin.f64 re)) (*.f64 (sinh.f64 (neg.f64 im)) (sin.f64 re)))
(sin.f64 re)
(*.f64 (sinh.f64 (neg.f64 im)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (+.f64 (neg.f64 im) (neg.f64 im)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 im) (neg.f64 im)) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))
(/.f64 (-.f64 (*.f64 (sinh.f64 (neg.f64 im)) (sinh.f64 (neg.f64 im))) (*.f64 (sinh.f64 (neg.f64 im)) (sinh.f64 (neg.f64 im)))) (-.f64 (sinh.f64 (neg.f64 im)) (sinh.f64 (neg.f64 im))))
(/.f64 (+.f64 (pow.f64 (sinh.f64 (neg.f64 im)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 im)) #s(literal 3 binary64))) (fma.f64 (sinh.f64 (neg.f64 im)) (sinh.f64 (neg.f64 im)) (-.f64 (*.f64 (sinh.f64 (neg.f64 im)) (sinh.f64 (neg.f64 im))) (*.f64 (sinh.f64 (neg.f64 im)) (sinh.f64 (neg.f64 im))))))
(/.f64 (fma.f64 (sinh.f64 (neg.f64 im)) #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (neg.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 3 binary64))) (pow.f64 (exp.f64 im) #s(literal 3 binary64)))) (neg.f64 (+.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))))) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)))) #s(literal 2 binary64))
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#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
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(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))
(-.f64 (cosh.f64 im) (sinh.f64 (neg.f64 im)))
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eval53.0ms (0.5%)

Memory
8.4MiB live, 55.2MiB allocated
Compiler

Compiled 5 395 to 917 computations (83% saved)

prune30.0ms (0.3%)

Memory
-5.1MiB live, 41.6MiB allocated
Pruning

22 alts after pruning (21 fresh and 1 done)

PrunedKeptTotal
New21617233
Fresh347
Picked415
Done000
Total22322245
Accuracy
100.0%
Counts
245 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.3%
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal -3 binary64) im))) (sin.f64 re)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) im)) #s(literal 1 binary64)))
49.3%
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal -3 binary64) im))) (sin.f64 re)) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -6 binary64)))) (+.f64 (-.f64 (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))) (pow.f64 (exp.f64 im) #s(literal -4 binary64))))
91.7%
(*.f64 (*.f64 (sin.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))
49.3%
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal -3 binary64) im))) (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) im)) #s(literal 1 binary64))))
56.4%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) #s(approx (* (- (* (* im im) -1/3) 2) im) (*.f64 (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 im im)) #s(literal -1/3 binary64)) (pow.f64 im #s(literal 3 binary64))))))
99.9%
(*.f64 (sinh.f64 (neg.f64 im)) (sin.f64 re))
62.8%
(*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)))
56.7%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg 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)))
53.7%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
56.2%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.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)))
53.6%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
55.8%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
52.0%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
81.5%
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (sin.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
28.3%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 (sin.f64 re) (cos.f64 (PI.f64)) (*.f64 (cos.f64 re) (sin.f64 (PI.f64)))) im))
28.4%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (-.f64 (*.f64 (cos.f64 re) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sin.f64 re) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) im))
87.9%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
51.0%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 (sin.f64 re)) im))
37.7%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 re re)) #s(literal 1/120 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) #s(literal 1 binary64))) re)) im))
36.1%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) #s(literal 1 binary64)) re)) im))
33.4%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
36.1%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re)))
Compiler

Compiled 1 187 to 900 computations (24.2% saved)

simplify161.0ms (1.4%)

Memory
-10.5MiB live, 225.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

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

Useful iterations: 3 (0.0ms)

IterNodesCost
056309
088309
1174307
2433303
31337292
45924292
08247292
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (sinh.f64 (neg.f64 im)) (sin.f64 re))
(sinh.f64 (neg.f64 im))
(neg.f64 im)
im
(sin.f64 re)
re
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
(*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im)
#s(approx (neg (sin re)) (neg.f64 re))
(neg.f64 re)
re
im
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg 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 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 #s(literal 1/2 binary64) re)
#s(literal 1/2 binary64)
re
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.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 (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (sin.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
(*.f64 (*.f64 (sin.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))
(*.f64 (sin.f64 re) im)
(sin.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 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal -3 binary64) im))) (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) im)) #s(literal 1 binary64))))
(*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal -3 binary64) im)))
#s(literal 2 binary64)
(sinh.f64 (*.f64 #s(literal -3 binary64) im))
(*.f64 #s(literal -3 binary64) im)
#s(literal -3 binary64)
im
(/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) im)) #s(literal 1 binary64)))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
(sin.f64 re)
re
#s(literal 1/2 binary64)
(fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) im)) #s(literal 1 binary64))
(cosh.f64 (*.f64 #s(literal -2 binary64) im))
(*.f64 #s(literal -2 binary64) im)
#s(literal -2 binary64)
#s(literal 1 binary64)
Outputs
(*.f64 (sinh.f64 (neg.f64 im)) (sin.f64 re))
(*.f64 (sin.f64 re) (sinh.f64 (neg.f64 im)))
(sinh.f64 (neg.f64 im))
(neg.f64 im)
im
(sin.f64 re)
re
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
(*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im)
#s(approx (neg (sin re)) (neg.f64 re))
(neg.f64 re)
re
im
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg 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 (neg 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)) #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)))
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 #s(literal 1/2 binary64) re)
#s(literal 1/2 binary64)
re
#s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.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 (neg 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 (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (sin.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im) (neg.f64 (sin.f64 re))))
(*.f64 (*.f64 (sin.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 (sin.f64 re)))
(*.f64 (sin.f64 re) im)
(sin.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 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal -3 binary64) im))) (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) im)) #s(literal 1 binary64))))
(*.f64 (/.f64 (sin.f64 re) (fma.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64) #s(literal 1 binary64))) (sinh.f64 (*.f64 #s(literal -3 binary64) im)))
(*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal -3 binary64) im)))
(*.f64 (sinh.f64 (*.f64 #s(literal -3 binary64) im)) #s(literal 2 binary64))
#s(literal 2 binary64)
(sinh.f64 (*.f64 #s(literal -3 binary64) im))
(*.f64 #s(literal -3 binary64) im)
#s(literal -3 binary64)
im
(/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) im)) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (fma.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64) #s(literal 1 binary64)))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
(sin.f64 re)
re
#s(literal 1/2 binary64)
(fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) im)) #s(literal 1 binary64))
(fma.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64) #s(literal 1 binary64))
(cosh.f64 (*.f64 #s(literal -2 binary64) im))
(cosh.f64 (*.f64 #s(literal 2 binary64) im))
(*.f64 #s(literal -2 binary64) im)
#s(literal -2 binary64)
#s(literal 1 binary64)

localize734.0ms (6.2%)

Memory
32.6MiB live, 313.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(cosh.f64 (*.f64 #s(literal -2 binary64) im))
accuracy0.05859375
(sinh.f64 (*.f64 #s(literal -3 binary64) im))
accuracy0.09765625
(/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) im)) #s(literal 1 binary64)))
accuracy0.37337669559864783
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal -3 binary64) im))) (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) im)) #s(literal 1 binary64))))
accuracy0.00390625
(*.f64 (*.f64 (sin.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))
accuracy0.08203125
(*.f64 (sin.f64 re) im)
accuracy0.1875
(*.f64 #s(literal -1/6 binary64) im)
accuracy0.5840308883741401
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (sin.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
accuracy0.08203125
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg 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)))
accuracy0.18359375
(*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im)
accuracy0.5258558909158646
#s(approx (- (exp (neg 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))
accuracy15.910154696237301
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
accuracy0.0
(neg.f64 re)
accuracy0.08203125
(*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im)
accuracy0.7338332825908024
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
accuracy15.910293007142002
#s(approx (neg (sin re)) (neg.f64 re))
accuracy0.0
(sin.f64 re)
accuracy0.0
(neg.f64 im)
accuracy0.00390625
(sinh.f64 (neg.f64 im))
accuracy0.08203125
(*.f64 (sinh.f64 (neg.f64 im)) (sin.f64 re))
Samples
452.0ms70×1valid
192.0ms128×5exit
42.0ms46×2valid
10.0ms3valid
2.0ms0valid
Compiler

Compiled 249 to 51 computations (79.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 622.0ms
ival-div: 415.0ms (66.7% of total)
ival-mult: 49.0ms (7.9% of total)
adjust: 46.0ms (7.4% of total)
ival-sin: 38.0ms (6.1% of total)
ival-exp: 25.0ms (4% of total)
const: 14.0ms (2.3% of total)
ival-cosh: 12.0ms (1.9% of total)
ival-sub: 9.0ms (1.4% of total)
ival-add: 6.0ms (1% of total)
ival-sinh: 5.0ms (0.8% of total)
ival-neg: 3.0ms (0.5% of total)
exact: 1.0ms (0.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series143.0ms (1.2%)

Memory
-13.9MiB live, 31.2MiB allocated
Counts
23 → 97
Calls
Call 1
Inputs
(*.f64 (sinh.f64 (neg.f64 im)) (sin.f64 re))
(sinh.f64 (neg.f64 im))
(neg.f64 im)
(sin.f64 re)
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
(*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im)
#s(approx (neg (sin re)) (neg.f64 re))
(neg.f64 re)
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg 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 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 #s(literal 1/2 binary64) re)
#s(approx (- (exp (neg 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 (sin.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (sin.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
(*.f64 (sin.f64 re) im)
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal -3 binary64) im))) (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) im)) #s(literal 1 binary64))))
(*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal -3 binary64) im)))
(sinh.f64 (*.f64 #s(literal -3 binary64) im))
(*.f64 #s(literal -3 binary64) im)
(*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im)
(*.f64 #s(literal -1/6 binary64) im)
(/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) im)) #s(literal 1 binary64)))
(cosh.f64 (*.f64 #s(literal -2 binary64) im))
Outputs
(* 1/2 (* re (- (exp (neg im)) (/ 1 (exp (neg im))))))
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im)))))))
(* re (+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))))))
(* re (+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/240 (- (exp (neg im)) (/ 1 (exp (neg im)))))))))))
re
(* re (+ 1 (* -1/6 (pow re 2))))
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))
(* 1/2 (* re (- (exp (neg im)) (exp im))))
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im))))))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp im)))))))))
(* -1 (* im re))
(* re (+ (* -1 im) (* 1/6 (* im (pow re 2)))))
(* re (+ (* -1 im) (* (pow re 2) (+ (* -1/120 (* im (pow re 2))) (* 1/6 im)))))
(* re (+ (* -1 im) (* (pow re 2) (+ (* 1/6 im) (* (pow re 2) (+ (* -1/120 im) (* 1/5040 (* im (pow re 2)))))))))
(* -1 re)
(* re (- (* 1/6 (pow re 2)) 1))
(* re (- (* (pow re 2) (+ 1/6 (* -1/120 (pow re 2)))) 1))
(* re (- (* (pow re 2) (+ 1/6 (* (pow re 2) (- (* 1/5040 (pow re 2)) 1/120)))) 1))
(* 1/2 re)
(* re (+ 1/2 (* -1/12 (pow re 2))))
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))
(* im (* re (- (* -1/6 (pow im 2)) 1)))
(* re (+ (* -1/6 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))) (* im (- (* -1/6 (pow im 2)) 1))))
(* re (+ (* im (- (* -1/6 (pow im 2)) 1)) (* (pow re 2) (+ (* -1/6 (* im (- (* -1/6 (pow im 2)) 1))) (* 1/120 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1))))))))
(* re (+ (* im (- (* -1/6 (pow im 2)) 1)) (* (pow re 2) (+ (* -1/6 (* im (- (* -1/6 (pow im 2)) 1))) (* (pow re 2) (+ (* -1/5040 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))) (* 1/120 (* im (- (* -1/6 (pow im 2)) 1)))))))))
(* im re)
(* re (+ im (* -1/6 (* im (pow re 2)))))
(* re (+ im (* (pow re 2) (+ (* -1/6 im) (* 1/120 (* im (pow re 2)))))))
(* re (+ im (* (pow re 2) (+ (* -1/6 im) (* (pow re 2) (+ (* -1/5040 (* im (pow re 2))) (* 1/120 im)))))))
(* 1/2 (/ (* re (- (exp (* -3 im)) (/ 1 (exp (* -3 im))))) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))))))
(* re (+ (* -1/12 (/ (* (pow re 2) (- (exp (* -3 im)) (/ 1 (exp (* -3 im))))) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im))))))) (* 1/2 (/ (- (exp (* -3 im)) (/ 1 (exp (* -3 im)))) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))))))))
(* re (+ (* 1/2 (/ (- (exp (* -3 im)) (/ 1 (exp (* -3 im)))) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im))))))) (* (pow re 2) (+ (* -1/12 (/ (- (exp (* -3 im)) (/ 1 (exp (* -3 im)))) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im))))))) (* 1/240 (/ (* (pow re 2) (- (exp (* -3 im)) (/ 1 (exp (* -3 im))))) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))))))))))
(* re (+ (* 1/2 (/ (- (exp (* -3 im)) (/ 1 (exp (* -3 im)))) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im))))))) (* (pow re 2) (+ (* -1/12 (/ (- (exp (* -3 im)) (/ 1 (exp (* -3 im)))) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im))))))) (* (pow re 2) (+ (* -1/10080 (/ (* (pow re 2) (- (exp (* -3 im)) (/ 1 (exp (* -3 im))))) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im))))))) (* 1/240 (/ (- (exp (* -3 im)) (/ 1 (exp (* -3 im)))) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))))))))))))
(* 1/2 (/ re (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))))))
(* re (+ (* -1/12 (/ (pow re 2) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im))))))) (* 1/2 (/ 1 (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))))))))
(* re (+ (* (pow re 2) (- (* 1/240 (/ (pow re 2) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im))))))) (* 1/12 (/ 1 (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im))))))))) (* 1/2 (/ 1 (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))))))))
(* re (+ (* (pow re 2) (- (* (pow re 2) (+ (* -1/10080 (/ (pow re 2) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im))))))) (* 1/240 (/ 1 (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im))))))))) (* 1/12 (/ 1 (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im))))))))) (* 1/2 (/ 1 (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))))))))
(* 1/2 (* (sin re) (- (exp (neg im)) (/ 1 (exp (neg im))))))
(sin re)
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* -1 (* im (sin re)))
(* -1 (sin re))
(* 1/2 (sin re))
(* im (* (sin re) (- (* -1/6 (pow im 2)) 1)))
(* im (sin re))
(* 1/2 (/ (* (sin re) (- (exp (* -3 im)) (/ 1 (exp (* -3 im))))) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))))))
(* 1/2 (/ (sin re) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))))))
(* im (+ (* -1 (sin re)) (* -1/6 (* (pow im 2) (sin re)))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* -1/120 (* (pow im 2) (sin re)))))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* (pow im 2) (+ (* -1/120 (sin re)) (* -1/5040 (* (pow im 2) (sin re)))))))))
(* -1 im)
(* 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))
(* -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 (sin re)) (* (pow im 2) (- (* -3/2 (sin re)) (* -4/3 (sin re))))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (- (+ (* -3/2 (sin re)) (* (pow im 2) (- (* -27/40 (sin re)) (+ (* -4/9 (sin re)) (* 4/3 (- (* -3/2 (sin re)) (* -4/3 (sin re)))))))) (* -4/3 (sin re))))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (- (+ (* -3/2 (sin re)) (* (pow im 2) (- (+ (* -27/40 (sin re)) (* (pow im 2) (- (* -81/560 (sin re)) (+ (* -8/135 (sin re)) (+ (* 4/9 (- (* -3/2 (sin re)) (* -4/3 (sin re)))) (* 4/3 (- (* -27/40 (sin re)) (+ (* -4/9 (sin re)) (* 4/3 (- (* -3/2 (sin re)) (* -4/3 (sin re)))))))))))) (+ (* -4/9 (sin re)) (* 4/3 (- (* -3/2 (sin re)) (* -4/3 (sin re)))))))) (* -4/3 (sin re))))))
(* -6 im)
(* im (- (* -9 (pow im 2)) 6))
(* im (- (* (pow im 2) (- (* -81/20 (pow im 2)) 9)) 6))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -243/280 (pow im 2)) 81/20)) 9)) 6))
(* -3 im)
(* im (- (* -9/2 (pow im 2)) 3))
(* im (- (* (pow im 2) (- (* -81/40 (pow im 2)) 9/2)) 3))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -243/560 (pow im 2)) 81/40)) 9/2)) 3))
(* -1/3 im)
(* im (- (* -1/60 (pow im 2)) 1/3))
(* -1/6 im)
(* 1/6 (sin re))
(+ (* -2/9 (* (pow im 2) (sin re))) (* 1/6 (sin re)))
(+ (* 1/6 (sin re)) (* (pow im 2) (+ (* -1/2 (* (pow im 2) (+ (* -16/27 (sin re)) (* 4/27 (sin re))))) (* -2/9 (sin re)))))
(+ (* 1/6 (sin re)) (* (pow im 2) (+ (* -2/9 (sin re)) (* (pow im 2) (+ (* -1/2 (* (pow im 2) (+ (* -4/3 (+ (* -16/27 (sin re)) (* 4/27 (sin re)))) (+ (* -16/81 (sin re)) (* 8/405 (sin re)))))) (* -1/2 (+ (* -16/27 (sin re)) (* 4/27 (sin re)))))))))
1
(+ 1 (* 2 (pow im 2)))
(+ 1 (* (pow im 2) (+ 2 (* 2/3 (pow im 2)))))
(+ 1 (* (pow im 2) (+ 2 (* (pow im 2) (+ 2/3 (* 4/45 (pow im 2)))))))
(* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im)))))
(- (exp (neg im)) (exp im))
(* -1/6 (* (pow im 3) (sin re)))
(* (pow im 3) (+ (* -1 (/ (sin re) (pow im 2))) (* -1/6 (sin re))))
(- (exp (* -3 im)) (/ 1 (exp (* -3 im))))
(* 1/2 (- (exp (* -3 im)) (/ 1 (exp (* -3 im)))))
(* -1/60 (pow im 3))
(* -1 (* (pow im 3) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(* 1/2 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))))
(* 1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(- (exp (* -1 im)) (exp im))
(* -1 (* (pow im 3) (+ (* 1/6 (sin re)) (/ (sin re) (pow im 2)))))
Calls

6 calls:

TimeVariablePointExpression
107.0ms
re
@inf
((* (sinh (neg im)) (sin re)) (sinh (neg im)) (neg im) (sin re) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg (sin re)) im) (neg (sin re)) (neg re) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* 1/2 re) (- (exp (neg im)) (exp im)) (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) (* (sin re) im) (* (* 2 (sinh (* -3 im))) (/ (* (sin re) 1/2) (+ (* 2 (cosh (* -2 im))) 1))) (* 2 (sinh (* -3 im))) (sinh (* -3 im)) (* -3 im) (* (- (* -1/60 (* im im)) 1/3) im) (* -1/6 im) (/ (* (sin re) 1/2) (+ (* 2 (cosh (* -2 im))) 1)) (cosh (* -2 im)))
10.0ms
im
@0
((* (sinh (neg im)) (sin re)) (sinh (neg im)) (neg im) (sin re) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg (sin re)) im) (neg (sin re)) (neg re) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* 1/2 re) (- (exp (neg im)) (exp im)) (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) (* (sin re) im) (* (* 2 (sinh (* -3 im))) (/ (* (sin re) 1/2) (+ (* 2 (cosh (* -2 im))) 1))) (* 2 (sinh (* -3 im))) (sinh (* -3 im)) (* -3 im) (* (- (* -1/60 (* im im)) 1/3) im) (* -1/6 im) (/ (* (sin re) 1/2) (+ (* 2 (cosh (* -2 im))) 1)) (cosh (* -2 im)))
8.0ms
im
@-inf
((* (sinh (neg im)) (sin re)) (sinh (neg im)) (neg im) (sin re) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg (sin re)) im) (neg (sin re)) (neg re) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* 1/2 re) (- (exp (neg im)) (exp im)) (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) (* (sin re) im) (* (* 2 (sinh (* -3 im))) (/ (* (sin re) 1/2) (+ (* 2 (cosh (* -2 im))) 1))) (* 2 (sinh (* -3 im))) (sinh (* -3 im)) (* -3 im) (* (- (* -1/60 (* im im)) 1/3) im) (* -1/6 im) (/ (* (sin re) 1/2) (+ (* 2 (cosh (* -2 im))) 1)) (cosh (* -2 im)))
7.0ms
im
@inf
((* (sinh (neg im)) (sin re)) (sinh (neg im)) (neg im) (sin re) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg (sin re)) im) (neg (sin re)) (neg re) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* 1/2 re) (- (exp (neg im)) (exp im)) (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) (* (sin re) im) (* (* 2 (sinh (* -3 im))) (/ (* (sin re) 1/2) (+ (* 2 (cosh (* -2 im))) 1))) (* 2 (sinh (* -3 im))) (sinh (* -3 im)) (* -3 im) (* (- (* -1/60 (* im im)) 1/3) im) (* -1/6 im) (/ (* (sin re) 1/2) (+ (* 2 (cosh (* -2 im))) 1)) (cosh (* -2 im)))
5.0ms
re
@-inf
((* (sinh (neg im)) (sin re)) (sinh (neg im)) (neg im) (sin re) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg (sin re)) im) (neg (sin re)) (neg re) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* 1/2 re) (- (exp (neg im)) (exp im)) (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) (* (sin re) im) (* (* 2 (sinh (* -3 im))) (/ (* (sin re) 1/2) (+ (* 2 (cosh (* -2 im))) 1))) (* 2 (sinh (* -3 im))) (sinh (* -3 im)) (* -3 im) (* (- (* -1/60 (* im im)) 1/3) im) (* -1/6 im) (/ (* (sin re) 1/2) (+ (* 2 (cosh (* -2 im))) 1)) (cosh (* -2 im)))

simplify224.0ms (1.9%)

Memory
-14.5MiB live, 83.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04571927
115141665
257521619
083511544
Stop Event
iter limit
node limit
Counts
97 → 96
Calls
Call 1
Inputs
(* 1/2 (* re (- (exp (neg im)) (/ 1 (exp (neg im))))))
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im)))))))
(* re (+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))))))
(* re (+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/240 (- (exp (neg im)) (/ 1 (exp (neg im)))))))))))
re
(* re (+ 1 (* -1/6 (pow re 2))))
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))
(* 1/2 (* re (- (exp (neg im)) (exp im))))
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im))))))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp im)))))))))
(* -1 (* im re))
(* re (+ (* -1 im) (* 1/6 (* im (pow re 2)))))
(* re (+ (* -1 im) (* (pow re 2) (+ (* -1/120 (* im (pow re 2))) (* 1/6 im)))))
(* re (+ (* -1 im) (* (pow re 2) (+ (* 1/6 im) (* (pow re 2) (+ (* -1/120 im) (* 1/5040 (* im (pow re 2)))))))))
(* -1 re)
(* re (- (* 1/6 (pow re 2)) 1))
(* re (- (* (pow re 2) (+ 1/6 (* -1/120 (pow re 2)))) 1))
(* re (- (* (pow re 2) (+ 1/6 (* (pow re 2) (- (* 1/5040 (pow re 2)) 1/120)))) 1))
(* 1/2 re)
(* re (+ 1/2 (* -1/12 (pow re 2))))
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))
(* im (* re (- (* -1/6 (pow im 2)) 1)))
(* re (+ (* -1/6 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))) (* im (- (* -1/6 (pow im 2)) 1))))
(* re (+ (* im (- (* -1/6 (pow im 2)) 1)) (* (pow re 2) (+ (* -1/6 (* im (- (* -1/6 (pow im 2)) 1))) (* 1/120 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1))))))))
(* re (+ (* im (- (* -1/6 (pow im 2)) 1)) (* (pow re 2) (+ (* -1/6 (* im (- (* -1/6 (pow im 2)) 1))) (* (pow re 2) (+ (* -1/5040 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))) (* 1/120 (* im (- (* -1/6 (pow im 2)) 1)))))))))
(* im re)
(* re (+ im (* -1/6 (* im (pow re 2)))))
(* re (+ im (* (pow re 2) (+ (* -1/6 im) (* 1/120 (* im (pow re 2)))))))
(* re (+ im (* (pow re 2) (+ (* -1/6 im) (* (pow re 2) (+ (* -1/5040 (* im (pow re 2))) (* 1/120 im)))))))
(* 1/2 (/ (* re (- (exp (* -3 im)) (/ 1 (exp (* -3 im))))) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))))))
(* re (+ (* -1/12 (/ (* (pow re 2) (- (exp (* -3 im)) (/ 1 (exp (* -3 im))))) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im))))))) (* 1/2 (/ (- (exp (* -3 im)) (/ 1 (exp (* -3 im)))) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))))))))
(* re (+ (* 1/2 (/ (- (exp (* -3 im)) (/ 1 (exp (* -3 im)))) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im))))))) (* (pow re 2) (+ (* -1/12 (/ (- (exp (* -3 im)) (/ 1 (exp (* -3 im)))) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im))))))) (* 1/240 (/ (* (pow re 2) (- (exp (* -3 im)) (/ 1 (exp (* -3 im))))) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))))))))))
(* re (+ (* 1/2 (/ (- (exp (* -3 im)) (/ 1 (exp (* -3 im)))) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im))))))) (* (pow re 2) (+ (* -1/12 (/ (- (exp (* -3 im)) (/ 1 (exp (* -3 im)))) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im))))))) (* (pow re 2) (+ (* -1/10080 (/ (* (pow re 2) (- (exp (* -3 im)) (/ 1 (exp (* -3 im))))) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im))))))) (* 1/240 (/ (- (exp (* -3 im)) (/ 1 (exp (* -3 im)))) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))))))))))))
(* 1/2 (/ re (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))))))
(* re (+ (* -1/12 (/ (pow re 2) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im))))))) (* 1/2 (/ 1 (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))))))))
(* re (+ (* (pow re 2) (- (* 1/240 (/ (pow re 2) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im))))))) (* 1/12 (/ 1 (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im))))))))) (* 1/2 (/ 1 (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))))))))
(* re (+ (* (pow re 2) (- (* (pow re 2) (+ (* -1/10080 (/ (pow re 2) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im))))))) (* 1/240 (/ 1 (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im))))))))) (* 1/12 (/ 1 (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im))))))))) (* 1/2 (/ 1 (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))))))))
(* 1/2 (* (sin re) (- (exp (neg im)) (/ 1 (exp (neg im))))))
(sin re)
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* -1 (* im (sin re)))
(* -1 (sin re))
(* 1/2 (sin re))
(* im (* (sin re) (- (* -1/6 (pow im 2)) 1)))
(* im (sin re))
(* 1/2 (/ (* (sin re) (- (exp (* -3 im)) (/ 1 (exp (* -3 im))))) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))))))
(* 1/2 (/ (sin re) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))))))
(* im (+ (* -1 (sin re)) (* -1/6 (* (pow im 2) (sin re)))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* -1/120 (* (pow im 2) (sin re)))))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* (pow im 2) (+ (* -1/120 (sin re)) (* -1/5040 (* (pow im 2) (sin re)))))))))
(* -1 im)
(* 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))
(* -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 (sin re)) (* (pow im 2) (- (* -3/2 (sin re)) (* -4/3 (sin re))))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (- (+ (* -3/2 (sin re)) (* (pow im 2) (- (* -27/40 (sin re)) (+ (* -4/9 (sin re)) (* 4/3 (- (* -3/2 (sin re)) (* -4/3 (sin re)))))))) (* -4/3 (sin re))))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (- (+ (* -3/2 (sin re)) (* (pow im 2) (- (+ (* -27/40 (sin re)) (* (pow im 2) (- (* -81/560 (sin re)) (+ (* -8/135 (sin re)) (+ (* 4/9 (- (* -3/2 (sin re)) (* -4/3 (sin re)))) (* 4/3 (- (* -27/40 (sin re)) (+ (* -4/9 (sin re)) (* 4/3 (- (* -3/2 (sin re)) (* -4/3 (sin re)))))))))))) (+ (* -4/9 (sin re)) (* 4/3 (- (* -3/2 (sin re)) (* -4/3 (sin re)))))))) (* -4/3 (sin re))))))
(* -6 im)
(* im (- (* -9 (pow im 2)) 6))
(* im (- (* (pow im 2) (- (* -81/20 (pow im 2)) 9)) 6))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -243/280 (pow im 2)) 81/20)) 9)) 6))
(* -3 im)
(* im (- (* -9/2 (pow im 2)) 3))
(* im (- (* (pow im 2) (- (* -81/40 (pow im 2)) 9/2)) 3))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -243/560 (pow im 2)) 81/40)) 9/2)) 3))
(* -1/3 im)
(* im (- (* -1/60 (pow im 2)) 1/3))
(* -1/6 im)
(* 1/6 (sin re))
(+ (* -2/9 (* (pow im 2) (sin re))) (* 1/6 (sin re)))
(+ (* 1/6 (sin re)) (* (pow im 2) (+ (* -1/2 (* (pow im 2) (+ (* -16/27 (sin re)) (* 4/27 (sin re))))) (* -2/9 (sin re)))))
(+ (* 1/6 (sin re)) (* (pow im 2) (+ (* -2/9 (sin re)) (* (pow im 2) (+ (* -1/2 (* (pow im 2) (+ (* -4/3 (+ (* -16/27 (sin re)) (* 4/27 (sin re)))) (+ (* -16/81 (sin re)) (* 8/405 (sin re)))))) (* -1/2 (+ (* -16/27 (sin re)) (* 4/27 (sin re)))))))))
1
(+ 1 (* 2 (pow im 2)))
(+ 1 (* (pow im 2) (+ 2 (* 2/3 (pow im 2)))))
(+ 1 (* (pow im 2) (+ 2 (* (pow im 2) (+ 2/3 (* 4/45 (pow im 2)))))))
(* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im)))))
(- (exp (neg im)) (exp im))
(* -1/6 (* (pow im 3) (sin re)))
(* (pow im 3) (+ (* -1 (/ (sin re) (pow im 2))) (* -1/6 (sin re))))
(- (exp (* -3 im)) (/ 1 (exp (* -3 im))))
(* 1/2 (- (exp (* -3 im)) (/ 1 (exp (* -3 im)))))
(* -1/60 (pow im 3))
(* -1 (* (pow im 3) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(* 1/2 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))))
(* 1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(- (exp (* -1 im)) (exp im))
(* -1 (* (pow im 3) (+ (* 1/6 (sin re)) (/ (sin re) (pow im 2)))))
Outputs
(* 1/2 (* re (- (exp (neg im)) (/ 1 (exp (neg im))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im)))))))
(*.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re)
(* re (+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(* re (+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/240 (- (exp (neg im)) (/ 1 (exp (neg im)))))))))))
(*.f64 (fma.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64))))) re)
re
(* re (+ 1 (* -1/6 (pow re 2))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re)
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 re re)) #s(literal 1/6 binary64)) re)
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) re) re) #s(literal 1/6 binary64)) re)
(* 1/2 (* re (- (exp (neg im)) (exp im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))))
(*.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re)
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im))))))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp im)))))))))
(*.f64 (fma.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64))))) re)
(* -1 (* im re))
(*.f64 (neg.f64 re) im)
(* re (+ (* -1 im) (* 1/6 (* im (pow re 2)))))
(*.f64 (fma.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64) (neg.f64 im)) re)
(* re (+ (* -1 im) (* (pow re 2) (+ (* -1/120 (* im (pow re 2))) (* 1/6 im)))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 re im) re) (*.f64 #s(literal 1/6 binary64) im)) (*.f64 (neg.f64 re) im))
(* re (+ (* -1 im) (* (pow re 2) (+ (* 1/6 im) (* (pow re 2) (+ (* -1/120 im) (* 1/5040 (* im (pow re 2)))))))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 re im) re) (*.f64 #s(literal -1/120 binary64) im)) re) re (*.f64 #s(literal 1/6 binary64) im)) (*.f64 (neg.f64 re) im))
(* -1 re)
(neg.f64 re)
(* re (- (* 1/6 (pow re 2)) 1))
(*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) #s(literal 1 binary64)) re)
(* re (- (* (pow re 2) (+ 1/6 (* -1/120 (pow re 2)))) 1))
(*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64)) re)
(* re (- (* (pow re 2) (+ 1/6 (* (pow re 2) (- (* 1/5040 (pow re 2)) 1/120)))) 1))
(*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 re re)) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64)) re)
(* 1/2 re)
(*.f64 #s(literal 1/2 binary64) re)
(* re (+ 1/2 (* -1/12 (pow re 2))))
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) re) re) #s(literal 1/12 binary64)) (*.f64 #s(literal 1/2 binary64) re))
(* im (* re (- (* -1/6 (pow im 2)) 1)))
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im) re)
(* re (+ (* -1/6 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))) (* im (- (* -1/6 (pow im 2)) 1))))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) re) re) im) #s(literal -1/6 binary64) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)) re)
(* re (+ (* im (- (* -1/6 (pow im 2)) 1)) (* (pow re 2) (+ (* -1/6 (* im (- (* -1/6 (pow im 2)) 1))) (* 1/120 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1))))))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im) #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) re) re) im) #s(literal 1/120 binary64))) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im) re))
(* re (+ (* im (- (* -1/6 (pow im 2)) 1)) (* (pow re 2) (+ (* -1/6 (* im (- (* -1/6 (pow im 2)) 1))) (* (pow re 2) (+ (* -1/5040 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))) (* 1/120 (* im (- (* -1/6 (pow im 2)) 1)))))))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64))) im (*.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im) #s(literal 1/120 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) re) re) im) #s(literal -1/5040 binary64))) re) re)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im) re))
(* im re)
(*.f64 re im)
(* re (+ im (* -1/6 (* im (pow re 2)))))
(*.f64 (fma.f64 (*.f64 (*.f64 re im) re) #s(literal -1/6 binary64) im) re)
(* re (+ im (* (pow re 2) (+ (* -1/6 im) (* 1/120 (* im (pow re 2)))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 re im) re) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) im)) (*.f64 re re) im) re)
(* re (+ im (* (pow re 2) (+ (* -1/6 im) (* (pow re 2) (+ (* -1/5040 (* im (pow re 2))) (* 1/120 im)))))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 re im) re) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) im)) re) re (*.f64 #s(literal -1/6 binary64) im)) (*.f64 re im))
(* 1/2 (/ (* re (- (exp (* -3 im)) (/ 1 (exp (* -3 im))))) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))))))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) re) (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64)))) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))))
(* re (+ (* -1/12 (/ (* (pow re 2) (- (exp (* -3 im)) (/ 1 (exp (* -3 im))))) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im))))))) (* 1/2 (/ (- (exp (* -3 im)) (/ 1 (exp (* -3 im)))) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))))))))
(*.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 re re) #s(literal -1/12 binary64)) (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))))) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64)))) re)
(* re (+ (* 1/2 (/ (- (exp (* -3 im)) (/ 1 (exp (* -3 im)))) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im))))))) (* (pow re 2) (+ (* -1/12 (/ (- (exp (* -3 im)) (/ 1 (exp (* -3 im)))) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im))))))) (* 1/240 (/ (* (pow re 2) (- (exp (* -3 im)) (/ 1 (exp (* -3 im))))) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))))))))))
(*.f64 (/.f64 (+.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 re re) #s(literal -1/12 binary64)) (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))))) (*.f64 (*.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64)))) (*.f64 re re))) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64)))) re)
(* re (+ (* 1/2 (/ (- (exp (* -3 im)) (/ 1 (exp (* -3 im)))) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im))))))) (* (pow re 2) (+ (* -1/12 (/ (- (exp (* -3 im)) (/ 1 (exp (* -3 im)))) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im))))))) (* (pow re 2) (+ (* -1/10080 (/ (* (pow re 2) (- (exp (* -3 im)) (/ 1 (exp (* -3 im))))) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im))))))) (* 1/240 (/ (- (exp (* -3 im)) (/ 1 (exp (* -3 im)))) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))))))))))))
(*.f64 (+.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 re re) #s(literal -1/12 binary64)) (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))))) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64)))) (*.f64 (pow.f64 re #s(literal 4 binary64)) (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) #s(literal 1/240 binary64) (*.f64 (*.f64 #s(literal -1/10080 binary64) (*.f64 re re)) (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))))) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64)))))) re)
(* 1/2 (/ re (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) re) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))))
(* re (+ (* -1/12 (/ (pow re 2) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im))))))) (* 1/2 (/ 1 (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))))))))
(/.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))))
(* re (+ (* (pow re 2) (- (* 1/240 (/ (pow re 2) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im))))))) (* 1/12 (/ 1 (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im))))))))) (* 1/2 (/ 1 (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))))))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (/.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) re) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(* re (+ (* (pow re 2) (- (* (pow re 2) (+ (* -1/10080 (/ (pow re 2) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im))))))) (* 1/240 (/ 1 (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im))))))))) (* 1/12 (/ 1 (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im))))))))) (* 1/2 (/ 1 (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64)))) re) re (/.f64 #s(literal -1/12 binary64) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))))) (*.f64 re re) (/.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))))) re)
(* 1/2 (* (sin re) (- (exp (neg im)) (/ 1 (exp (neg im))))))
(*.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (sin.f64 re)) #s(literal 1/2 binary64))
(sin re)
(sin.f64 re)
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(*.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (sin.f64 re)) #s(literal 1/2 binary64))
(* -1 (* im (sin re)))
(*.f64 (neg.f64 (sin.f64 re)) im)
(* -1 (sin re))
(neg.f64 (sin.f64 re))
(* 1/2 (sin re))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
(* im (* (sin re) (- (* -1/6 (pow im 2)) 1)))
(*.f64 (*.f64 (sin.f64 re) im) (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* im (sin re))
(*.f64 (sin.f64 re) im)
(* 1/2 (/ (* (sin re) (- (exp (* -3 im)) (/ 1 (exp (* -3 im))))) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))))))
(/.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64)))) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))))
(* 1/2 (/ (sin re) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))))))
(/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))))
(* im (+ (* -1 (sin re)) (* -1/6 (* (pow im 2) (sin re)))))
(*.f64 (*.f64 (sin.f64 re) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))) im)
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* -1/120 (* (pow im 2) (sin re)))))))
(*.f64 (fma.f64 (*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64))) (*.f64 im im) (neg.f64 (sin.f64 re))) im)
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* (pow im 2) (+ (* -1/120 (sin re)) (* -1/5040 (* (pow im 2) (sin re)))))))))
(*.f64 (fma.f64 (sin.f64 re) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (sin.f64 re) (fma.f64 (*.f64 #s(literal -1/5040 binary64) im) im #s(literal -1/120 binary64))))) im)
(* -1 im)
(neg.f64 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 (*.f64 im im) #s(literal -1/120 binary64)) #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 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 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 (sin re)) (* (pow im 2) (- (* -3/2 (sin re)) (* -4/3 (sin re))))))
(*.f64 (*.f64 (sin.f64 re) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))) im)
(* im (+ (* -1 (sin re)) (* (pow im 2) (- (+ (* -3/2 (sin re)) (* (pow im 2) (- (* -27/40 (sin re)) (+ (* -4/9 (sin re)) (* 4/3 (- (* -3/2 (sin re)) (* -4/3 (sin re)))))))) (* -4/3 (sin re))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (sin.f64 re) #s(literal -83/360 binary64) (*.f64 #s(literal 2/9 binary64) (sin.f64 re))) (*.f64 im im) (*.f64 #s(literal -1/6 binary64) (sin.f64 re))) (*.f64 im im) (neg.f64 (sin.f64 re))) im)
(* im (+ (* -1 (sin re)) (* (pow im 2) (- (+ (* -3/2 (sin re)) (* (pow im 2) (- (+ (* -27/40 (sin re)) (* (pow im 2) (- (* -81/560 (sin re)) (+ (* -8/135 (sin re)) (+ (* 4/9 (- (* -3/2 (sin re)) (* -4/3 (sin re)))) (* 4/3 (- (* -27/40 (sin re)) (+ (* -4/9 (sin re)) (* 4/3 (- (* -3/2 (sin re)) (* -4/3 (sin re)))))))))))) (+ (* -4/9 (sin re)) (* 4/3 (- (* -3/2 (sin re)) (* -4/3 (sin re)))))))) (* -4/3 (sin re))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (sin.f64 re) #s(literal -1291/15120 binary64)) (fma.f64 (fma.f64 (sin.f64 re) #s(literal -83/360 binary64) (*.f64 #s(literal 2/9 binary64) (sin.f64 re))) #s(literal 4/3 binary64) (*.f64 #s(literal -2/27 binary64) (sin.f64 re)))) (*.f64 im im) (fma.f64 (sin.f64 re) #s(literal -83/360 binary64) (*.f64 #s(literal 2/9 binary64) (sin.f64 re)))) (*.f64 im im) (*.f64 #s(literal -1/6 binary64) (sin.f64 re))) (*.f64 im im) (neg.f64 (sin.f64 re))) im)
(* -6 im)
(*.f64 #s(literal -6 binary64) im)
(* im (- (* -9 (pow im 2)) 6))
(*.f64 (-.f64 (*.f64 #s(literal -9 binary64) (*.f64 im im)) #s(literal 6 binary64)) im)
(* im (- (* (pow im 2) (- (* -81/20 (pow im 2)) 9)) 6))
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -81/20 binary64) (*.f64 im im)) #s(literal 9 binary64)) im) im) #s(literal 6 binary64)) im)
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -243/280 (pow im 2)) 81/20)) 9)) 6))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -243/280 binary64) (*.f64 im im)) #s(literal 81/20 binary64)) im) im) #s(literal 9 binary64)) (*.f64 im im)) #s(literal 6 binary64)) im)
(* -3 im)
(*.f64 #s(literal -3 binary64) im)
(* im (- (* -9/2 (pow im 2)) 3))
(*.f64 (-.f64 (*.f64 #s(literal -9/2 binary64) (*.f64 im im)) #s(literal 3 binary64)) im)
(* im (- (* (pow im 2) (- (* -81/40 (pow im 2)) 9/2)) 3))
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -81/40 binary64) (*.f64 im im)) #s(literal 9/2 binary64)) im) im) #s(literal 3 binary64)) im)
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -243/560 (pow im 2)) 81/40)) 9/2)) 3))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -243/560 binary64) (*.f64 im im)) #s(literal 81/40 binary64)) im) im) #s(literal 9/2 binary64)) (*.f64 im im)) #s(literal 3 binary64)) im)
(* -1/3 im)
(*.f64 #s(literal -1/3 binary64) im)
(* im (- (* -1/60 (pow im 2)) 1/3))
(*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im)
(* -1/6 im)
(*.f64 #s(literal -1/6 binary64) im)
(* 1/6 (sin re))
(*.f64 #s(literal 1/6 binary64) (sin.f64 re))
(+ (* -2/9 (* (pow im 2) (sin re))) (* 1/6 (sin re)))
(*.f64 (sin.f64 re) (fma.f64 #s(literal -2/9 binary64) (*.f64 im im) #s(literal 1/6 binary64)))
(+ (* 1/6 (sin re)) (* (pow im 2) (+ (* -1/2 (* (pow im 2) (+ (* -16/27 (sin re)) (* 4/27 (sin re))))) (* -2/9 (sin re)))))
(fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2/9 binary64) (sin.f64 re)) im) im (*.f64 #s(literal -2/9 binary64) (sin.f64 re))) (*.f64 im im) (*.f64 #s(literal 1/6 binary64) (sin.f64 re)))
(+ (* 1/6 (sin re)) (* (pow im 2) (+ (* -2/9 (sin re)) (* (pow im 2) (+ (* -1/2 (* (pow im 2) (+ (* -4/3 (+ (* -16/27 (sin re)) (* 4/27 (sin re)))) (+ (* -16/81 (sin re)) (* 8/405 (sin re)))))) (* -1/2 (+ (* -16/27 (sin re)) (* 4/27 (sin re)))))))))
(fma.f64 (sin.f64 re) (fma.f64 #s(literal -2/9 binary64) (*.f64 im im) #s(literal 1/6 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 16/27 binary64) (sin.f64 re) (*.f64 #s(literal -8/45 binary64) (sin.f64 re)))) (*.f64 im im) (*.f64 #s(literal 2/9 binary64) (sin.f64 re)))))
1
#s(literal 1 binary64)
(+ 1 (* 2 (pow im 2)))
(fma.f64 (*.f64 im im) #s(literal 2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow im 2) (+ 2 (* 2/3 (pow im 2)))))
(fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 im im) #s(literal 2 binary64)) (*.f64 im im) #s(literal 1 binary64))
(+ 1 (* (pow im 2) (+ 2 (* (pow im 2) (+ 2/3 (* 4/45 (pow im 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 im im) #s(literal 2/3 binary64)) (*.f64 im im) #s(literal 2 binary64)) (*.f64 im im) #s(literal 1 binary64))
(* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im)))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(- (exp (neg im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* -1/6 (* (pow im 3) (sin re)))
(*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) (sin.f64 re))
(* (pow im 3) (+ (* -1 (/ (sin re) (pow im 2))) (* -1/6 (sin re))))
(*.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (sin.f64 re) (/.f64 (/.f64 (sin.f64 re) im) im)))
(- (exp (* -3 im)) (/ 1 (exp (* -3 im))))
(-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64)))
(* 1/2 (- (exp (* -3 im)) (/ 1 (exp (* -3 im)))))
(*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) #s(literal 1/2 binary64))
(* -1/60 (pow im 3))
(*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/60 binary64))
(* -1 (* (pow im 3) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(*.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 im im)) #s(literal 1/60 binary64)))
(* 1/2 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))))
(*.f64 (fma.f64 (exp.f64 im) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(literal 1/2 binary64))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))))
(*.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (sin.f64 re)) #s(literal 1/2 binary64))
(* 1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(*.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (sin.f64 re)) #s(literal 1/2 binary64))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* -1 (* (pow im 3) (+ (* 1/6 (sin re)) (/ (sin re) (pow im 2)))))
(*.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (sin.f64 re) (/.f64 (/.f64 (sin.f64 re) im) im)))

rewrite404.0ms (3.4%)

Memory
7.8MiB live, 198.0MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
056210
088197
1246186
21467186
08890186
Stop Event
iter limit
node limit
iter limit
Counts
23 → 452
Calls
Call 1
Inputs
(*.f64 (sinh.f64 (neg.f64 im)) (sin.f64 re))
(sinh.f64 (neg.f64 im))
(neg.f64 im)
(sin.f64 re)
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
(*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im)
#s(approx (neg (sin re)) (neg.f64 re))
(neg.f64 re)
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg 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 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 #s(literal 1/2 binary64) re)
#s(approx (- (exp (neg 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 (sin.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (sin.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
(*.f64 (sin.f64 re) im)
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal -3 binary64) im))) (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) im)) #s(literal 1 binary64))))
(*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal -3 binary64) im)))
(sinh.f64 (*.f64 #s(literal -3 binary64) im))
(*.f64 #s(literal -3 binary64) im)
(*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im)
(*.f64 #s(literal -1/6 binary64) im)
(/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) im)) #s(literal 1 binary64)))
(cosh.f64 (*.f64 #s(literal -2 binary64) im))
Outputs
(*.f64 (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (*.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) #s(literal 1 binary64)))) (-.f64 (*.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (sinh.f64 (*.f64 #s(literal -3 binary64) im)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))) (fma.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sin.f64 re))) (sinh.f64 (neg.f64 im)))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64) #s(literal 1 binary64))) (sin.f64 re)) #s(literal 2 binary64)) (sinh.f64 (*.f64 #s(literal -3 binary64) im)))
(*.f64 (*.f64 (*.f64 (sinh.f64 (*.f64 #s(literal -3 binary64) im)) #s(literal 2 binary64)) (sin.f64 re)) (/.f64 #s(literal 1/2 binary64) (fma.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 (sin.f64 re) (sinh.f64 (neg.f64 im))) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 re)) (*.f64 (sinh.f64 (neg.f64 im)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64) #s(literal 1 binary64))) (sin.f64 re)) (*.f64 (sinh.f64 (*.f64 #s(literal -3 binary64) im)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))))
(*.f64 (*.f64 (sinh.f64 (*.f64 #s(literal -3 binary64) im)) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64) #s(literal 1 binary64))) (sin.f64 re)))
(*.f64 (sinh.f64 (*.f64 #s(literal -3 binary64) im)) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64) #s(literal 1 binary64))) (sin.f64 re))))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sin.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) (sin.f64 re)))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sin.f64 re) (sinh.f64 (neg.f64 im))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 re)) (sinh.f64 (neg.f64 im))))
(*.f64 (sin.f64 re) (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64) #s(literal 1 binary64))) (*.f64 (sinh.f64 (*.f64 #s(literal -3 binary64) im)) #s(literal 2 binary64))))
(*.f64 (sin.f64 re) (sinh.f64 (neg.f64 im)))
(*.f64 (sinh.f64 (neg.f64 im)) (sin.f64 re))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 re) (sinh.f64 (neg.f64 im))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (sin.f64 re) (sinh.f64 (neg.f64 im))) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (sin.f64 re) (sinh.f64 (neg.f64 im))) #s(literal 2 binary64)) (/.f64 (*.f64 (sin.f64 re) (sinh.f64 (neg.f64 im))) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 (sin.f64 re) (sinh.f64 (neg.f64 im))) #s(literal 2 binary64)) (/.f64 (*.f64 (sin.f64 re) (sinh.f64 (neg.f64 im))) #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 (sin.f64 re) (sinh.f64 (neg.f64 im))) #s(literal 2 binary64)) (/.f64 (*.f64 (sin.f64 re) (sinh.f64 (neg.f64 im))) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sin.f64 re)) (sinh.f64 (neg.f64 im)) (*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 re)) (sinh.f64 (neg.f64 im)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (sinh.f64 (*.f64 #s(literal -3 binary64) im)) (*.f64 #s(literal -1/2 binary64) (sin.f64 re)) (*.f64 (sinh.f64 (*.f64 #s(literal -3 binary64) im)) (*.f64 #s(literal -1/2 binary64) (sin.f64 re)))) (neg.f64 (fma.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64) #s(literal 1 binary64))))
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(*.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) (/.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) (/.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64))) (*.f64 (/.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) (/.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64) (*.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (neg.f64 (*.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (*.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) #s(literal 2 binary64))
(fma.f64 (fabs.f64 (sinh.f64 (neg.f64 im))) (fabs.f64 (sinh.f64 (neg.f64 im))) (pow.f64 (cosh.f64 im) #s(literal 2 binary64)))
(fma.f64 (fabs.f64 (sinh.f64 im)) (fabs.f64 (sinh.f64 im)) (pow.f64 (cosh.f64 im) #s(literal 2 binary64)))
(fma.f64 (sinh.f64 im) (sinh.f64 im) (pow.f64 (cosh.f64 im) #s(literal 2 binary64)))
(fma.f64 (sinh.f64 (neg.f64 im)) (sinh.f64 (neg.f64 im)) (pow.f64 (cosh.f64 im) #s(literal 2 binary64)))
(cosh.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) im))))
(cosh.f64 (neg.f64 (*.f64 #s(literal 2 binary64) im)))
(cosh.f64 (*.f64 #s(literal 2 binary64) im))
(cosh.f64 (*.f64 #s(literal -2 binary64) im))
(+.f64 (pow.f64 (sinh.f64 im) #s(literal 2 binary64)) (pow.f64 (cosh.f64 im) #s(literal 2 binary64)))
(+.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 2 binary64)))
(+.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64)))
(+.f64 (/.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) (/.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)))

eval84.0ms (0.7%)

Memory
-11.3MiB live, 79.7MiB allocated
Compiler

Compiled 14 057 to 1 766 computations (87.4% saved)

prune54.0ms (0.5%)

Memory
37.7MiB live, 87.3MiB allocated
Pruning

32 alts after pruning (27 fresh and 5 done)

PrunedKeptTotal
New41017427
Fresh61016
Picked145
Done011
Total41732449
Accuracy
100.0%
Counts
449 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.3%
(/.f64 (*.f64 (*.f64 (sinh.f64 (*.f64 #s(literal -3 binary64) im)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))) (-.f64 (pow.f64 (*.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 (fma.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64))))))
49.3%
(/.f64 (*.f64 (*.f64 (sinh.f64 (*.f64 #s(literal -3 binary64) im)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))) (-.f64 (pow.f64 (*.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (pow.f64 (*.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64) #s(literal 1 binary64)))))
49.3%
(*.f64 (/.f64 (*.f64 (sinh.f64 (*.f64 #s(literal -3 binary64) im)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))) (fma.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)))))
49.3%
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal -3 binary64) im))) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (pow.f64 (*.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (pow.f64 (*.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64) #s(literal 1 binary64)))))
98.9%
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal -3 binary64) im))) (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) #s(approx (cosh (* -2 im)) #s(literal 1 binary64)) #s(literal 1 binary64))))
98.9%
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal -3 binary64) im))) #s(approx (/ (* (sin re) 1/2) (+ (* 2 (cosh (* -2 im))) 1)) (*.f64 #s(literal 1/6 binary64) (sin.f64 re))))
56.4%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) #s(approx (* (- (* (* im im) -1/3) 2) im) (*.f64 (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 im im)) #s(literal -1/3 binary64)) (pow.f64 im #s(literal 3 binary64))))))
99.9%
(*.f64 (sinh.f64 (neg.f64 im)) (sin.f64 re))
62.8%
(*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)))
56.7%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg 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)))
53.7%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
53.6%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
58.3%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
55.8%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
52.0%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* -1/60 (* im im)) 1/3) im) (*.f64 #s(literal -1/3 binary64) im)) im) #s(literal 2 binary64)) im)))
91.7%
(*.f64 #s(approx (sinh (neg im)) (*.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)) (*.f64 im im)) #s(literal 1 binary64)) im)) (sin.f64 re))
81.5%
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (sin.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
51.0%
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) (*.f64 #s(approx (* (sin re) im) (*.f64 (fma.f64 (*.f64 (*.f64 re im) re) #s(literal -1/6 binary64) im) re)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
49.4%
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
31.3%
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) re) re) im) #s(literal -1/6 binary64) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)) re)))
61.5%
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (sin.f64 re) (/.f64 (/.f64 (sin.f64 re) im) im)))))
52.0%
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im) re)))
28.3%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 (sin.f64 re) (cos.f64 (PI.f64)) (*.f64 (cos.f64 re) (sin.f64 (PI.f64)))) im))
28.4%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (-.f64 (*.f64 (cos.f64 re) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sin.f64 re) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) im))
87.9%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
51.0%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 (sin.f64 re)) im))
37.7%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 re re)) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64)) re)) im))
38.0%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64)) re)) im))
36.1%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) #s(literal 1 binary64)) re)) im))
33.4%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
36.2%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (fma.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64) (neg.f64 im)) re)))
36.1%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re)))
Compiler

Compiled 1 908 to 1 337 computations (29.9% saved)

simplify155.0ms (1.3%)

Memory
-12.1MiB live, 74.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (- (exp (neg im)) (exp im)) #s(approx (* (- (* (* im im) -1/3) 2) im) (*.f64 (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 im im)) #s(literal -1/3 binary64)) (pow.f64 im #s(literal 3 binary64)))))
cost-diff0
(sin.f64 re)
cost-diff0
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
cost-diff0
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) #s(approx (* (- (* (* im im) -1/3) 2) im) (*.f64 (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 im im)) #s(literal -1/3 binary64)) (pow.f64 im #s(literal 3 binary64))))))
cost-diff0
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) re) re) im) #s(literal -1/6 binary64) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)) re)))
cost-diff2
(*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)
cost-diff2
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) re) re) im)
cost-diff4
(fma.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) re) re) im) #s(literal -1/6 binary64) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im))
cost-diff0
(*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64)) re)
cost-diff0
#s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64)) re))
cost-diff0
(*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64)) re)) im)
cost-diff0
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64)) re)) im))
cost-diff0
(*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64)))
cost-diff0
(*.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re)
cost-diff0
#s(approx (* (neg (sin re)) im) (*.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re))
cost-diff0
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re)))
cost-diff0
(*.f64 #s(literal -3 binary64) im)
cost-diff0
(sinh.f64 (*.f64 #s(literal -3 binary64) im))
cost-diff0
(*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal -3 binary64) im)))
cost-diff4
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal -3 binary64) im))) (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) #s(approx (cosh (* -2 im)) #s(literal 1 binary64)) #s(literal 1 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
080601
0121601
1257599
2704563
32421545
08004541
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal -3 binary64) im))) (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) #s(approx (cosh (* -2 im)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal -3 binary64) im)))
#s(literal 2 binary64)
(sinh.f64 (*.f64 #s(literal -3 binary64) im))
(*.f64 #s(literal -3 binary64) im)
#s(literal -3 binary64)
im
(/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) #s(approx (cosh (* -2 im)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
(sin.f64 re)
re
#s(literal 1/2 binary64)
(fma.f64 #s(literal 2 binary64) #s(approx (cosh (* -2 im)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (cosh (* -2 im)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re)))
#s(approx (* (neg (sin re)) im) (*.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re))
(*.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re)
(*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64)))
im
(fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))
(*.f64 #s(literal 1/6 binary64) re)
#s(literal 1/6 binary64)
re
#s(literal -1 binary64)
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64)) re)) im))
(*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64)) re)) im)
#s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64)) re))
(*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64)) re)
(-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64))
(*.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) re) re)
(*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) re)
(fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))
#s(literal -1/120 binary64)
(*.f64 re re)
re
#s(literal 1/6 binary64)
#s(literal 1 binary64)
im
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) re) re) im) #s(literal -1/6 binary64) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)) re)))
#s(approx (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) re) re) im) #s(literal -1/6 binary64) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)) re))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) re) re) im) #s(literal -1/6 binary64) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)) re)
(fma.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) re) re) im) #s(literal -1/6 binary64) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im))
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) re) re) im)
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) re) re)
(*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) re)
(-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 im im) #s(literal -1/6 binary64))
(*.f64 im im)
im
#s(literal -1/6 binary64)
#s(literal 1 binary64)
re
(*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) #s(approx (* (- (* (* im im) -1/3) 2) im) (*.f64 (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 im im)) #s(literal -1/3 binary64)) (pow.f64 im #s(literal 3 binary64))))))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
#s(literal 1/2 binary64)
(sin.f64 re)
re
#s(approx (- (exp (neg im)) (exp im)) #s(approx (* (- (* (* im im) -1/3) 2) im) (*.f64 (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 im im)) #s(literal -1/3 binary64)) (pow.f64 im #s(literal 3 binary64)))))
#s(approx (* (- (* (* im im) -1/3) 2) im) (*.f64 (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 im im)) #s(literal -1/3 binary64)) (pow.f64 im #s(literal 3 binary64))))
(*.f64 (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 im im)) #s(literal -1/3 binary64)) (pow.f64 im #s(literal 3 binary64)))
(+.f64 (/.f64 #s(literal -2 binary64) (*.f64 im im)) #s(literal -1/3 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 im im))
#s(literal -2 binary64)
(*.f64 im im)
im
#s(literal -1/3 binary64)
(pow.f64 im #s(literal 3 binary64))
#s(literal 3 binary64)
Outputs
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal -3 binary64) im))) (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) #s(approx (cosh (* -2 im)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (sin.f64 re) (sinh.f64 (*.f64 im #s(literal -3 binary64)))) (fma.f64 #s(approx (cosh (* -2 im)) #s(literal 1 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal -3 binary64) im)))
(*.f64 (sinh.f64 (*.f64 im #s(literal -3 binary64))) #s(literal 2 binary64))
#s(literal 2 binary64)
(sinh.f64 (*.f64 #s(literal -3 binary64) im))
(sinh.f64 (*.f64 im #s(literal -3 binary64)))
(*.f64 #s(literal -3 binary64) im)
(*.f64 im #s(literal -3 binary64))
#s(literal -3 binary64)
im
(/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) #s(approx (cosh (* -2 im)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(approx (cosh (* -2 im)) #s(literal 1 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) (sin.f64 re))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
(sin.f64 re)
re
#s(literal 1/2 binary64)
(fma.f64 #s(literal 2 binary64) #s(approx (cosh (* -2 im)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(approx (cosh (* -2 im)) #s(literal 1 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))
#s(approx (cosh (* -2 im)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64)) im) re)))
#s(approx (* (neg (sin re)) im) (*.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re))
#s(approx (* (neg (sin re)) im) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64)) im) re))
(*.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re)
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64)) im) re)
(*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64)) im)
im
(fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))
(*.f64 #s(literal 1/6 binary64) re)
#s(literal 1/6 binary64)
re
#s(literal -1 binary64)
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64)) re)) im))
(*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64)) re)) im)
(*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64)) re)) im)
#s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64)) re))
#s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64)) re))
(*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64)) re)
(*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64)) re)
(-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64))
(-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64))
(*.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) re) re)
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) re) re)
(*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) re)
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) re)
(fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))
(fma.f64 (*.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64))
#s(literal -1/120 binary64)
(*.f64 re re)
re
#s(literal 1/6 binary64)
#s(literal 1 binary64)
im
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) re) re) im) #s(literal -1/6 binary64) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) im) im) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 re im) re) #s(literal -1/6 binary64) im)) re)))
#s(approx (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) re) re) im) #s(literal -1/6 binary64) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)) re))
#s(approx (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) im) im) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 re im) re) #s(literal -1/6 binary64) im)) re))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) re) re) im) #s(literal -1/6 binary64) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)) re)
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) im) im) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 re im) re) #s(literal -1/6 binary64) im)) re)
(fma.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) re) re) im) #s(literal -1/6 binary64) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im))
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) im) im) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 re im) re) #s(literal -1/6 binary64) im))
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) re) re) im)
(*.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im) re) (neg.f64 re))
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) re) re)
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) im) im) #s(literal 1 binary64)) re) re)
(*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) re)
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) im) im) #s(literal 1 binary64)) re)
(-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(-.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) im) im) #s(literal 1 binary64))
(*.f64 (*.f64 im im) #s(literal -1/6 binary64))
(*.f64 (*.f64 #s(literal -1/6 binary64) im) im)
(*.f64 im im)
im
#s(literal -1/6 binary64)
#s(literal 1 binary64)
re
(*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)
(neg.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) #s(approx (* (- (* (* im im) -1/3) 2) im) (*.f64 (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 im im)) #s(literal -1/3 binary64)) (pow.f64 im #s(literal 3 binary64))))))
(*.f64 #s(approx (- (exp (neg im)) (exp im)) #s(approx (* (- (* (* im im) -1/3) 2) im) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 im im)) #s(literal 1/3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
#s(literal 1/2 binary64)
(sin.f64 re)
re
#s(approx (- (exp (neg im)) (exp im)) #s(approx (* (- (* (* im im) -1/3) 2) im) (*.f64 (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 im im)) #s(literal -1/3 binary64)) (pow.f64 im #s(literal 3 binary64)))))
#s(approx (- (exp (neg im)) (exp im)) #s(approx (* (- (* (* im im) -1/3) 2) im) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 im im)) #s(literal 1/3 binary64)))))
#s(approx (* (- (* (* im im) -1/3) 2) im) (*.f64 (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 im im)) #s(literal -1/3 binary64)) (pow.f64 im #s(literal 3 binary64))))
#s(approx (* (- (* (* im im) -1/3) 2) im) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 im im)) #s(literal 1/3 binary64))))
(*.f64 (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 im im)) #s(literal -1/3 binary64)) (pow.f64 im #s(literal 3 binary64)))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 im im)) #s(literal 1/3 binary64)))
(+.f64 (/.f64 #s(literal -2 binary64) (*.f64 im im)) #s(literal -1/3 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 im im))
#s(literal -2 binary64)
(*.f64 im im)
im
#s(literal -1/3 binary64)
(pow.f64 im #s(literal 3 binary64))
#s(literal 3 binary64)

localize580.0ms (4.9%)

Memory
-3.1MiB live, 517.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.05859375
(/.f64 #s(literal -2 binary64) (*.f64 im im))
accuracy0.08203125
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) #s(approx (* (- (* (* im im) -1/3) 2) im) (*.f64 (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 im im)) #s(literal -1/3 binary64)) (pow.f64 im #s(literal 3 binary64))))))
accuracy0.5841653847730817
#s(approx (- (exp (neg im)) (exp im)) #s(approx (* (- (* (* im im) -1/3) 2) im) (*.f64 (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 im im)) #s(literal -1/3 binary64)) (pow.f64 im #s(literal 3 binary64)))))
accuracy18.724391536565363
(*.f64 (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 im im)) #s(literal -1/3 binary64)) (pow.f64 im #s(literal 3 binary64)))
accuracy0.11328125
(*.f64 (*.f64 im im) #s(literal -1/6 binary64))
accuracy0.5840308883741401
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) re) re) im) #s(literal -1/6 binary64) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)) re)))
accuracy3.5815139956913735
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) re) re) im)
accuracy15.916665129103723
#s(approx (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) re) re) im) #s(literal -1/6 binary64) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)) re))
accuracy0.09375
(*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) re)
accuracy0.2405542076166401
(fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))
accuracy0.7338332825908024
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64)) re)) im))
accuracy15.901718831046326
#s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64)) re))
accuracy0.171875
(*.f64 #s(literal 1/6 binary64) re)
accuracy0.7338332825908024
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re)))
accuracy3.578644393564445
(*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64)))
accuracy15.916581037275911
#s(approx (* (neg (sin re)) im) (*.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re))
accuracy0.05859375
(sinh.f64 (*.f64 #s(literal -3 binary64) im))
accuracy0.09765625
(/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) #s(approx (cosh (* -2 im)) #s(literal 1 binary64)) #s(literal 1 binary64)))
accuracy0.37337669559864783
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal -3 binary64) im))) (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) #s(approx (cosh (* -2 im)) #s(literal 1 binary64)) #s(literal 1 binary64))))
accuracy0.7629117184849151
#s(approx (cosh (* -2 im)) #s(literal 1 binary64))
Samples
281.0ms128×5exit
120.0ms46×2valid
67.0ms70×1valid
47.0ms3valid
3.0ms0valid
Compiler

Compiled 406 to 72 computations (82.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 406.0ms
ival-mult: 99.0ms (24.4% of total)
adjust: 74.0ms (18.2% of total)
ival-exp: 71.0ms (17.5% of total)
ival-sub: 50.0ms (12.3% of total)
const: 45.0ms (11.1% of total)
ival-cosh: 30.0ms (7.4% of total)
ival-add: 14.0ms (3.4% of total)
ival-div: 8.0ms (2% of total)
ival-sin: 6.0ms (1.5% of total)
ival-sinh: 5.0ms (1.2% of total)
ival-pow: 3.0ms (0.7% of total)
ival-neg: 2.0ms (0.5% of total)
exact: 1.0ms (0.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series41.0ms (0.3%)

Memory
0.1MiB live, 88.7MiB allocated
Counts
29 → 125
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal -3 binary64) im))) (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) #s(approx (cosh (* -2 im)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal -3 binary64) im)))
(sinh.f64 (*.f64 #s(literal -3 binary64) im))
(*.f64 #s(literal -3 binary64) im)
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re)))
#s(approx (* (neg (sin re)) im) (*.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re))
(*.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re)
(*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64)) re)) im))
(*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64)) re)) im)
#s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64)) re))
(*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64)) re)
(fma.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) re) re) im) #s(literal -1/6 binary64) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im))
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) re) re) im)
(*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) re) re) im) #s(literal -1/6 binary64) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)) re)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) #s(approx (* (- (* (* im im) -1/3) 2) im) (*.f64 (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 im im)) #s(literal -1/3 binary64)) (pow.f64 im #s(literal 3 binary64))))))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
(sin.f64 re)
#s(approx (- (exp (neg im)) (exp im)) #s(approx (* (- (* (* im im) -1/3) 2) im) (*.f64 (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 im im)) #s(literal -1/3 binary64)) (pow.f64 im #s(literal 3 binary64)))))
#s(approx (cosh (* -2 im)) #s(literal 1 binary64))
(/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) #s(approx (cosh (* -2 im)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/6 binary64) re)
(fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))
(*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) re)
#s(approx (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) re) re) im) #s(literal -1/6 binary64) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)) re))
(*.f64 (*.f64 im im) #s(literal -1/6 binary64))
(*.f64 (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 im im)) #s(literal -1/3 binary64)) (pow.f64 im #s(literal 3 binary64)))
(/.f64 #s(literal -2 binary64) (*.f64 im im))
Outputs
(* 1/2 (/ (* re (- (exp (* -3 im)) (/ 1 (exp (* -3 im))))) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))))))
(* re (+ (* -1/12 (/ (* (pow re 2) (- (exp (* -3 im)) (/ 1 (exp (* -3 im))))) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im))))))) (* 1/2 (/ (- (exp (* -3 im)) (/ 1 (exp (* -3 im)))) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))))))))
(* re (+ (* 1/2 (/ (- (exp (* -3 im)) (/ 1 (exp (* -3 im)))) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im))))))) (* (pow re 2) (+ (* -1/12 (/ (- (exp (* -3 im)) (/ 1 (exp (* -3 im)))) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im))))))) (* 1/240 (/ (* (pow re 2) (- (exp (* -3 im)) (/ 1 (exp (* -3 im))))) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))))))))))
(* re (+ (* 1/2 (/ (- (exp (* -3 im)) (/ 1 (exp (* -3 im)))) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im))))))) (* (pow re 2) (+ (* -1/12 (/ (- (exp (* -3 im)) (/ 1 (exp (* -3 im)))) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im))))))) (* (pow re 2) (+ (* -1/10080 (/ (* (pow re 2) (- (exp (* -3 im)) (/ 1 (exp (* -3 im))))) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im))))))) (* 1/240 (/ (- (exp (* -3 im)) (/ 1 (exp (* -3 im)))) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))))))))))))
(* 1/2 (* re (- (exp (neg im)) (exp im))))
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im))))))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp im)))))))))
(* -1 (* im re))
(* re (+ (* -1 im) (* 1/6 (* im (pow re 2)))))
(* re (+ (* -1 im) (* (pow re 2) (+ (* -1/120 (* im (pow re 2))) (* 1/6 im)))))
(* re (+ (* -1 im) (* (pow re 2) (+ (* 1/6 im) (* (pow re 2) (+ (* -1/120 im) (* 1/5040 (* im (pow re 2)))))))))
(* -1 im)
(+ (* -1 im) (* 1/6 (* im (pow re 2))))
(* -1 re)
(* re (- (* 1/6 (pow re 2)) 1))
(* re (- (* (pow re 2) (+ 1/6 (* -1/120 (pow re 2)))) 1))
(* re (- (* (pow re 2) (+ 1/6 (* (pow re 2) (- (* 1/5040 (pow re 2)) 1/120)))) 1))
(* im (- (* -1/6 (pow im 2)) 1))
(+ (* -1/6 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))) (* im (- (* -1/6 (pow im 2)) 1)))
(* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))
(* 1/2 (* re (- (exp (neg im)) (/ 1 (exp (neg im))))))
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im)))))))
(* re (+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))))))
(* re (+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/240 (- (exp (neg im)) (/ 1 (exp (neg im)))))))))))
(* 1/2 re)
(* re (+ 1/2 (* -1/12 (pow re 2))))
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))
re
(* re (+ 1 (* -1/6 (pow re 2))))
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))
(* 1/2 (/ re (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))))))
(* re (+ (* -1/12 (/ (pow re 2) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im))))))) (* 1/2 (/ 1 (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))))))))
(* re (+ (* (pow re 2) (- (* 1/240 (/ (pow re 2) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im))))))) (* 1/12 (/ 1 (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im))))))))) (* 1/2 (/ 1 (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))))))))
(* re (+ (* (pow re 2) (- (* (pow re 2) (+ (* -1/10080 (/ (pow re 2) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im))))))) (* 1/240 (/ 1 (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im))))))))) (* 1/12 (/ 1 (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im))))))))) (* 1/2 (/ 1 (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))))))))
(* 1/6 re)
1/6
(+ 1/6 (* -1/120 (pow re 2)))
(* re (+ 1/6 (* -1/120 (pow re 2))))
(* im (* re (- (* -1/6 (pow im 2)) 1)))
(* re (+ (* -1/6 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))) (* im (- (* -1/6 (pow im 2)) 1))))
(* re (+ (* im (- (* -1/6 (pow im 2)) 1)) (* (pow re 2) (+ (* -1/6 (* im (- (* -1/6 (pow im 2)) 1))) (* 1/120 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1))))))))
(* re (+ (* im (- (* -1/6 (pow im 2)) 1)) (* (pow re 2) (+ (* -1/6 (* im (- (* -1/6 (pow im 2)) 1))) (* (pow re 2) (+ (* -1/5040 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))) (* 1/120 (* im (- (* -1/6 (pow im 2)) 1)))))))))
(* 1/2 (/ (* (sin re) (- (exp (* -3 im)) (/ 1 (exp (* -3 im))))) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* -1 (* im (sin re)))
(* 1/6 (* im (pow re 3)))
(* (pow re 3) (+ (* -1 (/ im (pow re 2))) (* 1/6 im)))
(* 1/6 (* im (pow re 2)))
(* (pow re 2) (+ (* -1 (/ im (pow re 2))) (* 1/6 im)))
(* -1 (sin re))
(* -1/120 (pow re 5))
(* (pow re 5) (- (* 1/6 (/ 1 (pow re 2))) 1/120))
(* (pow re 5) (- (* 1/6 (/ 1 (pow re 2))) (+ 1/120 (/ 1 (pow re 4)))))
(* -1/6 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1))))
(* (pow re 2) (+ (* -1/6 (* im (- (* -1/6 (pow im 2)) 1))) (/ (* im (- (* -1/6 (pow im 2)) 1)) (pow re 2))))
(* 1/2 (* (sin re) (- (exp (neg im)) (/ 1 (exp (neg im))))))
(* 1/2 (sin re))
(sin re)
(* 1/2 (/ (sin re) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))))))
(* -1/120 (pow re 2))
(* (pow re 2) (- (* 1/6 (/ 1 (pow re 2))) 1/120))
(* -1/120 (pow re 3))
(* (pow re 3) (- (* 1/6 (/ 1 (pow re 2))) 1/120))
(* im (* (sin re) (- (* -1/6 (pow im 2)) 1)))
(* -1 (* (pow re 3) (+ (* -1/6 im) (/ im (pow re 2)))))
(* -1 (* (pow re 5) (- 1/120 (* 1/6 (/ 1 (pow re 2))))))
(* -1 (* (pow re 5) (- (+ 1/120 (/ 1 (pow re 4))) (* 1/6 (/ 1 (pow re 2))))))
(* -1 (* (pow re 3) (- 1/120 (* 1/6 (/ 1 (pow re 2))))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (- (* -3/2 (sin re)) (* -4/3 (sin re))))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (- (+ (* -3/2 (sin re)) (* (pow im 2) (- (* -27/40 (sin re)) (+ (* -4/9 (sin re)) (* 4/3 (- (* -3/2 (sin re)) (* -4/3 (sin re)))))))) (* -4/3 (sin re))))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (- (+ (* -3/2 (sin re)) (* (pow im 2) (- (+ (* -27/40 (sin re)) (* (pow im 2) (- (* -81/560 (sin re)) (+ (* -8/135 (sin re)) (+ (* 4/9 (- (* -3/2 (sin re)) (* -4/3 (sin re)))) (* 4/3 (- (* -27/40 (sin re)) (+ (* -4/9 (sin re)) (* 4/3 (- (* -3/2 (sin re)) (* -4/3 (sin re)))))))))))) (+ (* -4/9 (sin re)) (* 4/3 (- (* -3/2 (sin re)) (* -4/3 (sin re)))))))) (* -4/3 (sin re))))))
(* -6 im)
(* im (- (* -9 (pow im 2)) 6))
(* im (- (* (pow im 2) (- (* -81/20 (pow im 2)) 9)) 6))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -243/280 (pow im 2)) 81/20)) 9)) 6))
(* -3 im)
(* im (- (* -9/2 (pow im 2)) 3))
(* im (- (* (pow im 2) (- (* -81/40 (pow im 2)) 9/2)) 3))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -243/560 (pow im 2)) 81/40)) 9/2)) 3))
(* im (+ (* -1 (sin re)) (* -1/6 (* (pow im 2) (sin re)))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* -1/120 (* (pow im 2) (sin re)))))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* (pow im 2) (+ (* -1/120 (sin re)) (* -1/5040 (* (pow im 2) (sin re)))))))))
(* im (* re (- (* 1/6 (pow re 2)) 1)))
(* im (- (* 1/6 (pow re 2)) 1))
(* im (- (+ (* 1/6 (pow re 2)) (* (pow im 2) (- (* 1/36 (pow re 2)) 1/6))) 1))
(* -1 (* im (pow re 2)))
(* im (+ (* -1 (pow re 2)) (* -1/6 (* (pow im 2) (pow re 2)))))
(* -2 im)
(* im (- (* -1/3 (pow im 2)) 2))
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
1
(+ 1 (* 2 (pow im 2)))
(+ 1 (* (pow im 2) (+ 2 (* 2/3 (pow im 2)))))
(+ 1 (* (pow im 2) (+ 2 (* (pow im 2) (+ 2/3 (* 4/45 (pow im 2)))))))
(* 1/6 (sin re))
(+ (* -2/9 (* (pow im 2) (sin re))) (* 1/6 (sin re)))
(+ (* 1/6 (sin re)) (* (pow im 2) (+ (* -1/2 (* (pow im 2) (+ (* -16/27 (sin re)) (* 4/27 (sin re))))) (* -2/9 (sin re)))))
(+ (* 1/6 (sin re)) (* (pow im 2) (+ (* -2/9 (sin re)) (* (pow im 2) (+ (* -1/2 (* (pow im 2) (+ (* -4/3 (+ (* -16/27 (sin re)) (* 4/27 (sin re)))) (+ (* -16/81 (sin re)) (* 8/405 (sin re)))))) (* -1/2 (+ (* -16/27 (sin re)) (* 4/27 (sin re)))))))))
(* -1/6 (pow im 2))
(/ -2 (pow im 2))
(- (exp (* -3 im)) (/ 1 (exp (* -3 im))))
(* 1/2 (- (exp (* -3 im)) (/ 1 (exp (* -3 im)))))
(* (pow im 3) (- (* 1/36 (pow re 2)) 1/6))
(* (pow im 3) (- (+ (* 1/36 (pow re 2)) (* 1/6 (/ (pow re 2) (pow im 2)))) (+ 1/6 (/ 1 (pow im 2)))))
(* -1/6 (* (pow im 3) (pow re 2)))
(* (pow im 3) (+ (* -1 (/ (pow re 2) (pow im 2))) (* -1/6 (pow re 2))))
(* -1/6 (pow im 3))
(* -1 (* (pow im 3) (+ 1/6 (/ 1 (pow im 2)))))
(- (exp (neg im)) (exp im))
(* 1/2 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))))
(* -1/6 (* (pow im 3) (sin re)))
(* (pow im 3) (+ (* -1 (/ (sin re) (pow im 2))) (* -1/6 (sin re))))
(* -1/3 (pow im 3))
(* -1 (* (pow im 3) (+ 1/3 (* 2 (/ 1 (pow im 2))))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(* -1 (* (pow im 3) (+ 1/6 (* -1/36 (pow re 2)))))
(* -1 (* (pow im 3) (+ 1/6 (+ (* -1/6 (/ (pow re 2) (pow im 2))) (+ (* -1/36 (pow re 2)) (/ 1 (pow im 2)))))))
(* -1 (* (pow im 3) (+ (* 1/6 (pow re 2)) (/ (pow re 2) (pow im 2)))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))))
(- (exp (* -1 im)) (exp im))
(* -1 (* (pow im 3) (+ (* 1/6 (sin re)) (/ (sin re) (pow im 2)))))
Calls

6 calls:

TimeVariablePointExpression
7.0ms
im
@0
((* (* 2 (sinh (* -3 im))) (/ (* (sin re) 1/2) (+ (* 2 (cosh (* -2 im))) 1))) (* 2 (sinh (* -3 im))) (sinh (* -3 im)) (* -3 im) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg (sin re)) im) (* (* im (+ (* (* 1/6 re) re) -1)) re) (* im (+ (* (* 1/6 re) re) -1)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg (sin re)) im) (neg (sin re)) (* (- (* (* (+ (* -1/120 (* re re)) 1/6) re) re) 1) re) (+ (* (* (* (* (- (* (* im im) -1/6) 1) re) re) im) -1/6) (* (- (* (* im im) -1/6) 1) im)) (* (* (* (- (* (* im im) -1/6) 1) re) re) im) (* (- (* (* im im) -1/6) 1) im) (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (- (exp (neg im)) (exp im)) (cosh (* -2 im)) (/ (* (sin re) 1/2) (+ (* 2 (cosh (* -2 im))) 1)) (* 1/6 re) (+ (* -1/120 (* re re)) 1/6) (* (+ (* -1/120 (* re re)) 1/6) re) (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (* (* im im) -1/6) (* (+ (/ -2 (* im im)) -1/3) (pow im 3)) (/ -2 (* im im)))
7.0ms
im
@inf
((* (* 2 (sinh (* -3 im))) (/ (* (sin re) 1/2) (+ (* 2 (cosh (* -2 im))) 1))) (* 2 (sinh (* -3 im))) (sinh (* -3 im)) (* -3 im) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg (sin re)) im) (* (* im (+ (* (* 1/6 re) re) -1)) re) (* im (+ (* (* 1/6 re) re) -1)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg (sin re)) im) (neg (sin re)) (* (- (* (* (+ (* -1/120 (* re re)) 1/6) re) re) 1) re) (+ (* (* (* (* (- (* (* im im) -1/6) 1) re) re) im) -1/6) (* (- (* (* im im) -1/6) 1) im)) (* (* (* (- (* (* im im) -1/6) 1) re) re) im) (* (- (* (* im im) -1/6) 1) im) (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (- (exp (neg im)) (exp im)) (cosh (* -2 im)) (/ (* (sin re) 1/2) (+ (* 2 (cosh (* -2 im))) 1)) (* 1/6 re) (+ (* -1/120 (* re re)) 1/6) (* (+ (* -1/120 (* re re)) 1/6) re) (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (* (* im im) -1/6) (* (+ (/ -2 (* im im)) -1/3) (pow im 3)) (/ -2 (* im im)))
6.0ms
im
@-inf
((* (* 2 (sinh (* -3 im))) (/ (* (sin re) 1/2) (+ (* 2 (cosh (* -2 im))) 1))) (* 2 (sinh (* -3 im))) (sinh (* -3 im)) (* -3 im) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg (sin re)) im) (* (* im (+ (* (* 1/6 re) re) -1)) re) (* im (+ (* (* 1/6 re) re) -1)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg (sin re)) im) (neg (sin re)) (* (- (* (* (+ (* -1/120 (* re re)) 1/6) re) re) 1) re) (+ (* (* (* (* (- (* (* im im) -1/6) 1) re) re) im) -1/6) (* (- (* (* im im) -1/6) 1) im)) (* (* (* (- (* (* im im) -1/6) 1) re) re) im) (* (- (* (* im im) -1/6) 1) im) (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (- (exp (neg im)) (exp im)) (cosh (* -2 im)) (/ (* (sin re) 1/2) (+ (* 2 (cosh (* -2 im))) 1)) (* 1/6 re) (+ (* -1/120 (* re re)) 1/6) (* (+ (* -1/120 (* re re)) 1/6) re) (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (* (* im im) -1/6) (* (+ (/ -2 (* im im)) -1/3) (pow im 3)) (/ -2 (* im im)))
6.0ms
re
@inf
((* (* 2 (sinh (* -3 im))) (/ (* (sin re) 1/2) (+ (* 2 (cosh (* -2 im))) 1))) (* 2 (sinh (* -3 im))) (sinh (* -3 im)) (* -3 im) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg (sin re)) im) (* (* im (+ (* (* 1/6 re) re) -1)) re) (* im (+ (* (* 1/6 re) re) -1)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg (sin re)) im) (neg (sin re)) (* (- (* (* (+ (* -1/120 (* re re)) 1/6) re) re) 1) re) (+ (* (* (* (* (- (* (* im im) -1/6) 1) re) re) im) -1/6) (* (- (* (* im im) -1/6) 1) im)) (* (* (* (- (* (* im im) -1/6) 1) re) re) im) (* (- (* (* im im) -1/6) 1) im) (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (- (exp (neg im)) (exp im)) (cosh (* -2 im)) (/ (* (sin re) 1/2) (+ (* 2 (cosh (* -2 im))) 1)) (* 1/6 re) (+ (* -1/120 (* re re)) 1/6) (* (+ (* -1/120 (* re re)) 1/6) re) (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (* (* im im) -1/6) (* (+ (/ -2 (* im im)) -1/3) (pow im 3)) (/ -2 (* im im)))
6.0ms
re
@-inf
((* (* 2 (sinh (* -3 im))) (/ (* (sin re) 1/2) (+ (* 2 (cosh (* -2 im))) 1))) (* 2 (sinh (* -3 im))) (sinh (* -3 im)) (* -3 im) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg (sin re)) im) (* (* im (+ (* (* 1/6 re) re) -1)) re) (* im (+ (* (* 1/6 re) re) -1)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg (sin re)) im) (neg (sin re)) (* (- (* (* (+ (* -1/120 (* re re)) 1/6) re) re) 1) re) (+ (* (* (* (* (- (* (* im im) -1/6) 1) re) re) im) -1/6) (* (- (* (* im im) -1/6) 1) im)) (* (* (* (- (* (* im im) -1/6) 1) re) re) im) (* (- (* (* im im) -1/6) 1) im) (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (- (exp (neg im)) (exp im)) (cosh (* -2 im)) (/ (* (sin re) 1/2) (+ (* 2 (cosh (* -2 im))) 1)) (* 1/6 re) (+ (* -1/120 (* re re)) 1/6) (* (+ (* -1/120 (* re re)) 1/6) re) (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (* (* im im) -1/6) (* (+ (/ -2 (* im im)) -1/3) (pow im 3)) (/ -2 (* im im)))

simplify204.0ms (1.7%)

Memory
47.3MiB live, 235.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05112232
116892012
265941971
086711884
Stop Event
iter limit
node limit
Counts
125 → 124
Calls
Call 1
Inputs
(* 1/2 (/ (* re (- (exp (* -3 im)) (/ 1 (exp (* -3 im))))) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))))))
(* re (+ (* -1/12 (/ (* (pow re 2) (- (exp (* -3 im)) (/ 1 (exp (* -3 im))))) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im))))))) (* 1/2 (/ (- (exp (* -3 im)) (/ 1 (exp (* -3 im)))) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))))))))
(* re (+ (* 1/2 (/ (- (exp (* -3 im)) (/ 1 (exp (* -3 im)))) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im))))))) (* (pow re 2) (+ (* -1/12 (/ (- (exp (* -3 im)) (/ 1 (exp (* -3 im)))) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im))))))) (* 1/240 (/ (* (pow re 2) (- (exp (* -3 im)) (/ 1 (exp (* -3 im))))) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))))))))))
(* re (+ (* 1/2 (/ (- (exp (* -3 im)) (/ 1 (exp (* -3 im)))) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im))))))) (* (pow re 2) (+ (* -1/12 (/ (- (exp (* -3 im)) (/ 1 (exp (* -3 im)))) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im))))))) (* (pow re 2) (+ (* -1/10080 (/ (* (pow re 2) (- (exp (* -3 im)) (/ 1 (exp (* -3 im))))) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im))))))) (* 1/240 (/ (- (exp (* -3 im)) (/ 1 (exp (* -3 im)))) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))))))))))))
(* 1/2 (* re (- (exp (neg im)) (exp im))))
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im))))))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp im)))))))))
(* -1 (* im re))
(* re (+ (* -1 im) (* 1/6 (* im (pow re 2)))))
(* re (+ (* -1 im) (* (pow re 2) (+ (* -1/120 (* im (pow re 2))) (* 1/6 im)))))
(* re (+ (* -1 im) (* (pow re 2) (+ (* 1/6 im) (* (pow re 2) (+ (* -1/120 im) (* 1/5040 (* im (pow re 2)))))))))
(* -1 im)
(+ (* -1 im) (* 1/6 (* im (pow re 2))))
(* -1 re)
(* re (- (* 1/6 (pow re 2)) 1))
(* re (- (* (pow re 2) (+ 1/6 (* -1/120 (pow re 2)))) 1))
(* re (- (* (pow re 2) (+ 1/6 (* (pow re 2) (- (* 1/5040 (pow re 2)) 1/120)))) 1))
(* im (- (* -1/6 (pow im 2)) 1))
(+ (* -1/6 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))) (* im (- (* -1/6 (pow im 2)) 1)))
(* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))
(* 1/2 (* re (- (exp (neg im)) (/ 1 (exp (neg im))))))
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im)))))))
(* re (+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))))))
(* re (+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/240 (- (exp (neg im)) (/ 1 (exp (neg im)))))))))))
(* 1/2 re)
(* re (+ 1/2 (* -1/12 (pow re 2))))
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))
re
(* re (+ 1 (* -1/6 (pow re 2))))
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))
(* 1/2 (/ re (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))))))
(* re (+ (* -1/12 (/ (pow re 2) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im))))))) (* 1/2 (/ 1 (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))))))))
(* re (+ (* (pow re 2) (- (* 1/240 (/ (pow re 2) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im))))))) (* 1/12 (/ 1 (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im))))))))) (* 1/2 (/ 1 (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))))))))
(* re (+ (* (pow re 2) (- (* (pow re 2) (+ (* -1/10080 (/ (pow re 2) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im))))))) (* 1/240 (/ 1 (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im))))))))) (* 1/12 (/ 1 (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im))))))))) (* 1/2 (/ 1 (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))))))))
(* 1/6 re)
1/6
(+ 1/6 (* -1/120 (pow re 2)))
(* re (+ 1/6 (* -1/120 (pow re 2))))
(* im (* re (- (* -1/6 (pow im 2)) 1)))
(* re (+ (* -1/6 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))) (* im (- (* -1/6 (pow im 2)) 1))))
(* re (+ (* im (- (* -1/6 (pow im 2)) 1)) (* (pow re 2) (+ (* -1/6 (* im (- (* -1/6 (pow im 2)) 1))) (* 1/120 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1))))))))
(* re (+ (* im (- (* -1/6 (pow im 2)) 1)) (* (pow re 2) (+ (* -1/6 (* im (- (* -1/6 (pow im 2)) 1))) (* (pow re 2) (+ (* -1/5040 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))) (* 1/120 (* im (- (* -1/6 (pow im 2)) 1)))))))))
(* 1/2 (/ (* (sin re) (- (exp (* -3 im)) (/ 1 (exp (* -3 im))))) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* -1 (* im (sin re)))
(* 1/6 (* im (pow re 3)))
(* (pow re 3) (+ (* -1 (/ im (pow re 2))) (* 1/6 im)))
(* 1/6 (* im (pow re 2)))
(* (pow re 2) (+ (* -1 (/ im (pow re 2))) (* 1/6 im)))
(* -1 (sin re))
(* -1/120 (pow re 5))
(* (pow re 5) (- (* 1/6 (/ 1 (pow re 2))) 1/120))
(* (pow re 5) (- (* 1/6 (/ 1 (pow re 2))) (+ 1/120 (/ 1 (pow re 4)))))
(* -1/6 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1))))
(* (pow re 2) (+ (* -1/6 (* im (- (* -1/6 (pow im 2)) 1))) (/ (* im (- (* -1/6 (pow im 2)) 1)) (pow re 2))))
(* 1/2 (* (sin re) (- (exp (neg im)) (/ 1 (exp (neg im))))))
(* 1/2 (sin re))
(sin re)
(* 1/2 (/ (sin re) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))))))
(* -1/120 (pow re 2))
(* (pow re 2) (- (* 1/6 (/ 1 (pow re 2))) 1/120))
(* -1/120 (pow re 3))
(* (pow re 3) (- (* 1/6 (/ 1 (pow re 2))) 1/120))
(* im (* (sin re) (- (* -1/6 (pow im 2)) 1)))
(* -1 (* (pow re 3) (+ (* -1/6 im) (/ im (pow re 2)))))
(* -1 (* (pow re 5) (- 1/120 (* 1/6 (/ 1 (pow re 2))))))
(* -1 (* (pow re 5) (- (+ 1/120 (/ 1 (pow re 4))) (* 1/6 (/ 1 (pow re 2))))))
(* -1 (* (pow re 3) (- 1/120 (* 1/6 (/ 1 (pow re 2))))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (- (* -3/2 (sin re)) (* -4/3 (sin re))))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (- (+ (* -3/2 (sin re)) (* (pow im 2) (- (* -27/40 (sin re)) (+ (* -4/9 (sin re)) (* 4/3 (- (* -3/2 (sin re)) (* -4/3 (sin re)))))))) (* -4/3 (sin re))))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (- (+ (* -3/2 (sin re)) (* (pow im 2) (- (+ (* -27/40 (sin re)) (* (pow im 2) (- (* -81/560 (sin re)) (+ (* -8/135 (sin re)) (+ (* 4/9 (- (* -3/2 (sin re)) (* -4/3 (sin re)))) (* 4/3 (- (* -27/40 (sin re)) (+ (* -4/9 (sin re)) (* 4/3 (- (* -3/2 (sin re)) (* -4/3 (sin re)))))))))))) (+ (* -4/9 (sin re)) (* 4/3 (- (* -3/2 (sin re)) (* -4/3 (sin re)))))))) (* -4/3 (sin re))))))
(* -6 im)
(* im (- (* -9 (pow im 2)) 6))
(* im (- (* (pow im 2) (- (* -81/20 (pow im 2)) 9)) 6))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -243/280 (pow im 2)) 81/20)) 9)) 6))
(* -3 im)
(* im (- (* -9/2 (pow im 2)) 3))
(* im (- (* (pow im 2) (- (* -81/40 (pow im 2)) 9/2)) 3))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -243/560 (pow im 2)) 81/40)) 9/2)) 3))
(* im (+ (* -1 (sin re)) (* -1/6 (* (pow im 2) (sin re)))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* -1/120 (* (pow im 2) (sin re)))))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* (pow im 2) (+ (* -1/120 (sin re)) (* -1/5040 (* (pow im 2) (sin re)))))))))
(* im (* re (- (* 1/6 (pow re 2)) 1)))
(* im (- (* 1/6 (pow re 2)) 1))
(* im (- (+ (* 1/6 (pow re 2)) (* (pow im 2) (- (* 1/36 (pow re 2)) 1/6))) 1))
(* -1 (* im (pow re 2)))
(* im (+ (* -1 (pow re 2)) (* -1/6 (* (pow im 2) (pow re 2)))))
(* -2 im)
(* im (- (* -1/3 (pow im 2)) 2))
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
1
(+ 1 (* 2 (pow im 2)))
(+ 1 (* (pow im 2) (+ 2 (* 2/3 (pow im 2)))))
(+ 1 (* (pow im 2) (+ 2 (* (pow im 2) (+ 2/3 (* 4/45 (pow im 2)))))))
(* 1/6 (sin re))
(+ (* -2/9 (* (pow im 2) (sin re))) (* 1/6 (sin re)))
(+ (* 1/6 (sin re)) (* (pow im 2) (+ (* -1/2 (* (pow im 2) (+ (* -16/27 (sin re)) (* 4/27 (sin re))))) (* -2/9 (sin re)))))
(+ (* 1/6 (sin re)) (* (pow im 2) (+ (* -2/9 (sin re)) (* (pow im 2) (+ (* -1/2 (* (pow im 2) (+ (* -4/3 (+ (* -16/27 (sin re)) (* 4/27 (sin re)))) (+ (* -16/81 (sin re)) (* 8/405 (sin re)))))) (* -1/2 (+ (* -16/27 (sin re)) (* 4/27 (sin re)))))))))
(* -1/6 (pow im 2))
(/ -2 (pow im 2))
(- (exp (* -3 im)) (/ 1 (exp (* -3 im))))
(* 1/2 (- (exp (* -3 im)) (/ 1 (exp (* -3 im)))))
(* (pow im 3) (- (* 1/36 (pow re 2)) 1/6))
(* (pow im 3) (- (+ (* 1/36 (pow re 2)) (* 1/6 (/ (pow re 2) (pow im 2)))) (+ 1/6 (/ 1 (pow im 2)))))
(* -1/6 (* (pow im 3) (pow re 2)))
(* (pow im 3) (+ (* -1 (/ (pow re 2) (pow im 2))) (* -1/6 (pow re 2))))
(* -1/6 (pow im 3))
(* -1 (* (pow im 3) (+ 1/6 (/ 1 (pow im 2)))))
(- (exp (neg im)) (exp im))
(* 1/2 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))))
(* -1/6 (* (pow im 3) (sin re)))
(* (pow im 3) (+ (* -1 (/ (sin re) (pow im 2))) (* -1/6 (sin re))))
(* -1/3 (pow im 3))
(* -1 (* (pow im 3) (+ 1/3 (* 2 (/ 1 (pow im 2))))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(* -1 (* (pow im 3) (+ 1/6 (* -1/36 (pow re 2)))))
(* -1 (* (pow im 3) (+ 1/6 (+ (* -1/6 (/ (pow re 2) (pow im 2))) (+ (* -1/36 (pow re 2)) (/ 1 (pow im 2)))))))
(* -1 (* (pow im 3) (+ (* 1/6 (pow re 2)) (/ (pow re 2) (pow im 2)))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))))
(- (exp (* -1 im)) (exp im))
(* -1 (* (pow im 3) (+ (* 1/6 (sin re)) (/ (sin re) (pow im 2)))))
Outputs
(* 1/2 (/ (* re (- (exp (* -3 im)) (/ 1 (exp (* -3 im))))) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))))))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) re) (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64)))) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))))
(* re (+ (* -1/12 (/ (* (pow re 2) (- (exp (* -3 im)) (/ 1 (exp (* -3 im))))) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im))))))) (* 1/2 (/ (- (exp (* -3 im)) (/ 1 (exp (* -3 im)))) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))))))))
(*.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 re re) #s(literal -1/12 binary64)) (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))))) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64)))) re)
(* re (+ (* 1/2 (/ (- (exp (* -3 im)) (/ 1 (exp (* -3 im)))) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im))))))) (* (pow re 2) (+ (* -1/12 (/ (- (exp (* -3 im)) (/ 1 (exp (* -3 im)))) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im))))))) (* 1/240 (/ (* (pow re 2) (- (exp (* -3 im)) (/ 1 (exp (* -3 im))))) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))))))))))
(*.f64 (/.f64 (+.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 re re) #s(literal -1/12 binary64)) (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))))) (*.f64 (*.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64)))) (*.f64 re re))) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64)))) re)
(* re (+ (* 1/2 (/ (- (exp (* -3 im)) (/ 1 (exp (* -3 im)))) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im))))))) (* (pow re 2) (+ (* -1/12 (/ (- (exp (* -3 im)) (/ 1 (exp (* -3 im)))) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im))))))) (* (pow re 2) (+ (* -1/10080 (/ (* (pow re 2) (- (exp (* -3 im)) (/ 1 (exp (* -3 im))))) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im))))))) (* 1/240 (/ (- (exp (* -3 im)) (/ 1 (exp (* -3 im)))) (+ 1 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))))))))))))
(*.f64 (+.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 re re) #s(literal -1/12 binary64)) (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))))) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64)))) (*.f64 (pow.f64 re #s(literal 4 binary64)) (/.f64 (fma.f64 #s(literal 1/240 binary64) (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/10080 binary64) (*.f64 re re)) (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))))) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64)))))) re)
(* 1/2 (* re (- (exp (neg im)) (exp im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))))
(*.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re)
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im))))))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp im)))))))))
(*.f64 (fma.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64))))) re)
(* -1 (* im re))
(*.f64 (neg.f64 re) im)
(* re (+ (* -1 im) (* 1/6 (* im (pow re 2)))))
(*.f64 (fma.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64) (neg.f64 im)) re)
(* re (+ (* -1 im) (* (pow re 2) (+ (* -1/120 (* im (pow re 2))) (* 1/6 im)))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 re im) re) (*.f64 #s(literal 1/6 binary64) im)) (*.f64 (neg.f64 re) im))
(* re (+ (* -1 im) (* (pow re 2) (+ (* 1/6 im) (* (pow re 2) (+ (* -1/120 im) (* 1/5040 (* im (pow re 2)))))))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 re im) re) (*.f64 #s(literal -1/120 binary64) im)) re) re (*.f64 #s(literal 1/6 binary64) im)) (*.f64 (neg.f64 re) im))
(* -1 im)
(neg.f64 im)
(+ (* -1 im) (* 1/6 (* im (pow re 2))))
(fma.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64) (neg.f64 im))
(* -1 re)
(neg.f64 re)
(* re (- (* 1/6 (pow re 2)) 1))
(*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) #s(literal 1 binary64)) re)
(* re (- (* (pow re 2) (+ 1/6 (* -1/120 (pow re 2)))) 1))
(*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64)) re)
(* re (- (* (pow re 2) (+ 1/6 (* (pow re 2) (- (* 1/5040 (pow re 2)) 1/120)))) 1))
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(+ 1 (* (pow im 2) (+ 2 (* 2/3 (pow im 2)))))
(fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 im im) #s(literal 2 binary64)) (*.f64 im im) #s(literal 1 binary64))
(+ 1 (* (pow im 2) (+ 2 (* (pow im 2) (+ 2/3 (* 4/45 (pow im 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 im im) #s(literal 2/3 binary64)) (*.f64 im im) #s(literal 2 binary64)) (*.f64 im im) #s(literal 1 binary64))
(* 1/6 (sin re))
(*.f64 #s(literal 1/6 binary64) (sin.f64 re))
(+ (* -2/9 (* (pow im 2) (sin re))) (* 1/6 (sin re)))
(*.f64 (sin.f64 re) (fma.f64 #s(literal -2/9 binary64) (*.f64 im im) #s(literal 1/6 binary64)))
(+ (* 1/6 (sin re)) (* (pow im 2) (+ (* -1/2 (* (pow im 2) (+ (* -16/27 (sin re)) (* 4/27 (sin re))))) (* -2/9 (sin re)))))
(fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2/9 binary64) (sin.f64 re)) im) im (*.f64 #s(literal -2/9 binary64) (sin.f64 re))) (*.f64 im im) (*.f64 #s(literal 1/6 binary64) (sin.f64 re)))
(+ (* 1/6 (sin re)) (* (pow im 2) (+ (* -2/9 (sin re)) (* (pow im 2) (+ (* -1/2 (* (pow im 2) (+ (* -4/3 (+ (* -16/27 (sin re)) (* 4/27 (sin re)))) (+ (* -16/81 (sin re)) (* 8/405 (sin re)))))) (* -1/2 (+ (* -16/27 (sin re)) (* 4/27 (sin re)))))))))
(fma.f64 (sin.f64 re) (fma.f64 #s(literal -2/9 binary64) (*.f64 im im) #s(literal 1/6 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 16/27 binary64) (sin.f64 re) (*.f64 #s(literal -8/45 binary64) (sin.f64 re)))) (*.f64 im im) (*.f64 #s(literal 2/9 binary64) (sin.f64 re)))))
(* -1/6 (pow im 2))
(*.f64 (*.f64 im im) #s(literal -1/6 binary64))
(/ -2 (pow im 2))
(/.f64 #s(literal -2 binary64) (*.f64 im im))
(- (exp (* -3 im)) (/ 1 (exp (* -3 im))))
(-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64)))
(* 1/2 (- (exp (* -3 im)) (/ 1 (exp (* -3 im)))))
(*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) #s(literal 1/2 binary64))
(* (pow im 3) (- (* 1/36 (pow re 2)) 1/6))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) #s(literal 1/6 binary64)))
(* (pow im 3) (- (+ (* 1/36 (pow re 2)) (* 1/6 (/ (pow re 2) (pow im 2)))) (+ 1/6 (/ 1 (pow im 2)))))
(*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) re) im) (/.f64 re im) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/6 binary64))) (pow.f64 im #s(literal 3 binary64)))
(* -1/6 (* (pow im 3) (pow re 2)))
(*.f64 (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) re) re)
(* (pow im 3) (+ (* -1 (/ (pow re 2) (pow im 2))) (* -1/6 (pow re 2))))
(*.f64 (fma.f64 (/.f64 re (neg.f64 im)) (/.f64 re im) (*.f64 (*.f64 re re) #s(literal -1/6 binary64))) (pow.f64 im #s(literal 3 binary64)))
(* -1/6 (pow im 3))
(*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* -1 (* (pow im 3) (+ 1/6 (/ 1 (pow im 2)))))
(*.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/6 binary64)))
(- (exp (neg im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* 1/2 (+ (exp (* -2 im)) (/ 1 (exp (* -2 im)))))
(*.f64 (fma.f64 (exp.f64 im) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(literal 1/2 binary64))
(* -1/6 (* (pow im 3) (sin re)))
(*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sin.f64 re)) #s(literal -1/6 binary64))
(* (pow im 3) (+ (* -1 (/ (sin re) (pow im 2))) (* -1/6 (sin re))))
(*.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 re) (/.f64 (neg.f64 (sin.f64 re)) (*.f64 im im))) (pow.f64 im #s(literal 3 binary64)))
(* -1/3 (pow im 3))
(*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/3 binary64))
(* -1 (* (pow im 3) (+ 1/3 (* 2 (/ 1 (pow im 2))))))
(*.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal 1/3 binary64)))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(*.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (sin.f64 re)) #s(literal 1/2 binary64))
(* -1 (* (pow im 3) (+ 1/6 (* -1/36 (pow re 2)))))
(*.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (fma.f64 #s(literal -1/36 binary64) (*.f64 re re) #s(literal 1/6 binary64)))
(* -1 (* (pow im 3) (+ 1/6 (+ (* -1/6 (/ (pow re 2) (pow im 2))) (+ (* -1/36 (pow re 2)) (/ 1 (pow im 2)))))))
(*.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (+.f64 (fma.f64 (*.f64 #s(literal -1/36 binary64) re) re (/.f64 (fma.f64 (*.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64)) (*.f64 im im))) #s(literal 1/6 binary64)))
(* -1 (* (pow im 3) (+ (* 1/6 (pow re 2)) (/ (pow re 2) (pow im 2)))))
(*.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 1/6 binary64) (*.f64 re re))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))))
(*.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (sin.f64 re)) #s(literal 1/2 binary64))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* -1 (* (pow im 3) (+ (* 1/6 (sin re)) (/ (sin re) (pow im 2)))))
(*.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (sin.f64 re) (/.f64 (/.f64 (sin.f64 re) im) im)))

rewrite255.0ms (2.2%)

Memory
-6.8MiB live, 240.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
080440
0121440
1399424
22492424
08361422
Stop Event
iter limit
node limit
iter limit
Counts
29 → 335
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal -3 binary64) im))) (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) #s(approx (cosh (* -2 im)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal -3 binary64) im)))
(sinh.f64 (*.f64 #s(literal -3 binary64) im))
(*.f64 #s(literal -3 binary64) im)
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re)))
#s(approx (* (neg (sin re)) im) (*.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re))
(*.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re)
(*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64)) re)) im))
(*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64)) re)) im)
#s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64)) re))
(*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64)) re)
(fma.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) re) re) im) #s(literal -1/6 binary64) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im))
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) re) re) im)
(*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) re) re) im) #s(literal -1/6 binary64) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)) re)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) #s(approx (* (- (* (* im im) -1/3) 2) im) (*.f64 (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 im im)) #s(literal -1/3 binary64)) (pow.f64 im #s(literal 3 binary64))))))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
(sin.f64 re)
#s(approx (- (exp (neg im)) (exp im)) #s(approx (* (- (* (* im im) -1/3) 2) im) (*.f64 (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 im im)) #s(literal -1/3 binary64)) (pow.f64 im #s(literal 3 binary64)))))
#s(approx (cosh (* -2 im)) #s(literal 1 binary64))
(/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) #s(approx (cosh (* -2 im)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/6 binary64) re)
(fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64))
(*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) re)
#s(approx (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) re) re) im) #s(literal -1/6 binary64) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)) re))
(*.f64 (*.f64 im im) #s(literal -1/6 binary64))
(*.f64 (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 im im)) #s(literal -1/3 binary64)) (pow.f64 im #s(literal 3 binary64)))
(/.f64 #s(literal -2 binary64) (*.f64 im im))
Outputs
(*.f64 (/.f64 (*.f64 (sinh.f64 (*.f64 im #s(literal -3 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))) (-.f64 (pow.f64 (*.f64 #s(approx (cosh (* -2 im)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 #s(approx (cosh (* -2 im)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (sinh.f64 (*.f64 im #s(literal -3 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))) (fma.f64 (pow.f64 #s(approx (cosh (* -2 im)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 #s(approx (cosh (* -2 im)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (cosh (* -2 im)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(approx (cosh (* -2 im)) #s(literal 1 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) (sin.f64 re)) #s(literal 2 binary64)) (sinh.f64 (*.f64 im #s(literal -3 binary64))))
(*.f64 (*.f64 (*.f64 (sinh.f64 (*.f64 im #s(literal -3 binary64))) #s(literal 2 binary64)) (sin.f64 re)) (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(approx (cosh (* -2 im)) #s(literal 1 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 (sinh.f64 (*.f64 im #s(literal -3 binary64))) (sin.f64 re)) (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(approx (cosh (* -2 im)) #s(literal 1 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64))
(*.f64 (*.f64 (sinh.f64 (*.f64 im #s(literal -3 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(approx (cosh (* -2 im)) #s(literal 1 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) (sin.f64 re)))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(approx (cosh (* -2 im)) #s(literal 1 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) (sin.f64 re)) (*.f64 (sinh.f64 (*.f64 im #s(literal -3 binary64))) #s(literal 2 binary64)))
(*.f64 (sin.f64 re) (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(approx (cosh (* -2 im)) #s(literal 1 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) (*.f64 (sinh.f64 (*.f64 im #s(literal -3 binary64))) #s(literal 2 binary64))))
(*.f64 (sinh.f64 (*.f64 im #s(literal -3 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(approx (cosh (* -2 im)) #s(literal 1 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) (sin.f64 re))))
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sinh.f64 (*.f64 im #s(literal -3 binary64))) (sin.f64 re)) (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(approx (cosh (* -2 im)) #s(literal 1 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (sinh.f64 (*.f64 im #s(literal -3 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 re)) (*.f64 (sinh.f64 (*.f64 im #s(literal -3 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 re)))) (neg.f64 (fma.f64 #s(approx (cosh (* -2 im)) #s(literal 1 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))
(/.f64 (fma.f64 (sinh.f64 (*.f64 im #s(literal -3 binary64))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (*.f64 (sinh.f64 (*.f64 im #s(literal -3 binary64))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))) (fma.f64 #s(approx (cosh (* -2 im)) #s(literal 1 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 (sinh.f64 (*.f64 im #s(literal -3 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (sin.f64 re)) (*.f64 (*.f64 (sinh.f64 (*.f64 im #s(literal -3 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (sin.f64 re)))) (*.f64 #s(literal 2 binary64) (neg.f64 (fma.f64 #s(approx (cosh (* -2 im)) #s(literal 1 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (sinh.f64 (*.f64 im #s(literal -3 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 re))) (*.f64 (sinh.f64 (*.f64 im #s(literal -3 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 re))))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(approx (cosh (* -2 im)) #s(literal 1 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(approx (cosh (* -2 im)) #s(literal 1 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) (sin.f64 re)) #s(literal 2 binary64)) (sinh.f64 (*.f64 im #s(literal -3 binary64))) (/.f64 (*.f64 (sinh.f64 (*.f64 im #s(literal -3 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))) (fma.f64 #s(approx (cosh (* -2 im)) #s(literal 1 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 re)) (*.f64 (sinh.f64 (*.f64 im #s(literal -3 binary64))) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(approx (cosh (* -2 im)) #s(literal 1 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sinh.f64 (*.f64 im #s(literal -3 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))))) (neg.f64 (neg.f64 (fma.f64 #s(approx (cosh (* -2 im)) #s(literal 1 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (sinh.f64 (*.f64 im #s(literal -3 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (sin.f64 re)))) (neg.f64 (neg.f64 (fma.f64 #s(approx (cosh (* -2 im)) #s(literal 1 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (*.f64 (sinh.f64 (*.f64 im #s(literal -3 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 re))) (neg.f64 (fma.f64 #s(approx (cosh (* -2 im)) #s(literal 1 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) (*.f64 (neg.f64 (fma.f64 #s(approx (cosh (* -2 im)) #s(literal 1 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) (*.f64 (sinh.f64 (*.f64 im #s(literal -3 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 re))))) (*.f64 (neg.f64 (fma.f64 #s(approx (cosh (* -2 im)) #s(literal 1 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(approx (cosh (* -2 im)) #s(literal 1 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (*.f64 (sinh.f64 (*.f64 im #s(literal -3 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 re))) (fma.f64 #s(approx (cosh (* -2 im)) #s(literal 1 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) (*.f64 (neg.f64 (fma.f64 #s(approx (cosh (* -2 im)) #s(literal 1 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) (*.f64 (sinh.f64 (*.f64 im #s(literal -3 binary64))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re))))) (*.f64 (neg.f64 (fma.f64 #s(approx (cosh (* -2 im)) #s(literal 1 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) (fma.f64 #s(approx (cosh (* -2 im)) #s(literal 1 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))
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(/.f64 (/.f64 #s(literal -2 binary64) im) im)
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eval62.0ms (0.5%)

Memory
3.6MiB live, 143.0MiB allocated
Compiler

Compiled 20 786 to 2 539 computations (87.8% saved)

prune81.0ms (0.7%)

Memory
-7.0MiB live, 95.4MiB allocated
Pruning

37 alts after pruning (31 fresh and 6 done)

PrunedKeptTotal
New45316469
Fresh71522
Picked415
Done055
Total46437501
Accuracy
100.0%
Counts
501 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.3%
(/.f64 (*.f64 (*.f64 (sinh.f64 (*.f64 #s(literal -3 binary64) im)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))) (-.f64 (pow.f64 (*.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (pow.f64 (*.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64) #s(literal 1 binary64)))))
98.9%
(/.f64 (*.f64 (sinh.f64 (*.f64 im #s(literal -3 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))) (fma.f64 #s(approx (cosh (* -2 im)) #s(literal 1 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))
20.7%
(*.f64 (/.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 im #s(literal -3 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 im #s(literal -3 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (sinh.f64 (*.f64 im #s(literal -3 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 im #s(literal -3 binary64))) #s(literal 2 binary64)) (pow.f64 (sinh.f64 (*.f64 im #s(literal -3 binary64))) #s(literal 2 binary64))))) (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) #s(approx (cosh (* -2 im)) #s(literal 1 binary64)) #s(literal 1 binary64))))
98.9%
(*.f64 (/.f64 (*.f64 (sinh.f64 (*.f64 im #s(literal -3 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))) (fma.f64 (pow.f64 #s(approx (cosh (* -2 im)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 #s(approx (cosh (* -2 im)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (cosh (* -2 im)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
49.3%
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal -3 binary64) im))) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (pow.f64 (*.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (pow.f64 (*.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64) #s(literal 1 binary64)))))
98.9%
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal -3 binary64) im))) #s(approx (/ (* (sin re) 1/2) (+ (* 2 (cosh (* -2 im))) 1)) (*.f64 #s(literal 1/6 binary64) (sin.f64 re))))
59.5%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) #s(approx (* (- (* (* im im) -1/3) 2) im) (*.f64 (pow.f64 im #s(literal 3/2 binary64)) (*.f64 (pow.f64 im #s(literal 3/2 binary64)) (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 im im)) #s(literal -1/3 binary64)))))))
56.4%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) #s(approx (* (- (* (* im im) -1/3) 2) im) (*.f64 (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 im im)) #s(literal -1/3 binary64)) (pow.f64 im #s(literal 3 binary64))))))
59.4%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) #s(approx (* (- (* (* im im) -1/3) 2) im) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 im im)) #s(literal -1/3 binary64)) (*.f64 im im)) im))))
59.4%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) #s(approx (* (- (* (* im im) -1/3) 2) im) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 im im)) #s(literal -1/3 binary64)) im) (*.f64 im im)))))
99.9%
(*.f64 (sinh.f64 (neg.f64 im)) (sin.f64 re))
62.8%
(*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)))
51.3%
(*.f64 #s(approx (* 2 (sinh (* -3 im))) (*.f64 #s(literal -6 binary64) im)) (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) #s(approx (cosh (* -2 im)) #s(literal 1 binary64)) #s(literal 1 binary64))))
56.7%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg 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)))
53.7%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
58.3%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
55.8%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
52.0%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* -1/60 (* im im)) 1/3) im) (*.f64 #s(literal -1/3 binary64) im)) im) #s(literal 2 binary64)) im)))
91.7%
(*.f64 #s(approx (sinh (neg im)) (*.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)) (*.f64 im im)) #s(literal 1 binary64)) im)) (sin.f64 re))
81.5%
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (sin.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
51.0%
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) (*.f64 #s(approx (* (sin re) im) (*.f64 (fma.f64 (*.f64 (*.f64 re im) re) #s(literal -1/6 binary64) im) re)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
49.4%
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
49.4%
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) re) im)))
52.0%
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im) re)))
24.9%
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 #s(approx (+ (* (* (* (* (- (* (* im im) -1/6) 1) re) re) im) -1/6) (* (- (* (* im im) -1/6) 1) im)) (*.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im) #s(literal -1/6 binary64)) re) re)) re)))
28.3%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 (sin.f64 re) (cos.f64 (PI.f64)) (*.f64 (cos.f64 re) (sin.f64 (PI.f64)))) im))
87.9%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
51.0%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 (sin.f64 re)) im))
37.7%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 re re)) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64)) re)) im))
38.0%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/120 binary64) re) re #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64)) re)) im))
37.7%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/120 (* re re)) 1/6) (*.f64 #s(literal -1/120 binary64) (*.f64 re re))) re) re) #s(literal 1 binary64)) re)) im))
33.4%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
36.1%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (fma.f64 (*.f64 (*.f64 re re) #s(literal 1/6 binary64)) im (neg.f64 im)) re)))
36.1%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (fma.f64 (*.f64 im #s(literal 1/6 binary64)) (*.f64 re re) (neg.f64 im)) re)))
36.1%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64)) (*.f64 re im))))
36.1%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64)) re) im)))
23.3%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 #s(approx (* im (+ (* (* 1/6 re) re) -1)) (*.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64))) re)))
Compiler

Compiled 3 132 to 1 275 computations (59.3% saved)

regimes138.0ms (1.2%)

Memory
1.5MiB live, 144.6MiB allocated
Counts
63 → 1
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 #s(approx (* im (+ (* (* 1/6 re) re) -1)) (*.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64)) re) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64)) (*.f64 re im))))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (fma.f64 (*.f64 im #s(literal 1/6 binary64)) (*.f64 re re) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (fma.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (fma.f64 (*.f64 (*.f64 re re) #s(literal 1/6 binary64)) im (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) #s(literal 1 binary64)) re)) im))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im) re)))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) re) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* -1/60 (* im im)) 1/3) im) (*.f64 #s(literal -1/3 binary64) im)) im) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/120 (* re re)) 1/6) (*.f64 #s(literal -1/120 binary64) (*.f64 re re))) re) re) #s(literal 1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/120 binary64) re) re #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64)) re)) im))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) (*.f64 #s(approx (* (sin re) im) (*.f64 (fma.f64 (*.f64 (*.f64 re im) re) #s(literal -1/6 binary64) im) re)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 #s(approx (+ (* (* (* (* (- (* (* im im) -1/6) 1) re) re) im) -1/6) (* (- (* (* im im) -1/6) 1) im)) (*.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im) #s(literal -1/6 binary64)) re) re)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.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 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 re re)) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64)) re)) im))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.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 (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) re) re) im) #s(literal -1/6 binary64) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg 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 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 (sin.f64 re)) im))
(*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (sin.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
(*.f64 #s(approx (* 2 (sinh (* -3 im))) (*.f64 #s(literal -6 binary64) im)) (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) #s(approx (cosh (* -2 im)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg 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 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 re re)) #s(literal 1/120 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) #s(literal 1 binary64))) re)) im))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) #s(approx (* (- (* (* im im) -1/3) 2) im) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 im im)) #s(literal -1/3 binary64)) im) (*.f64 im im)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) #s(approx (* (- (* (* im im) -1/3) 2) im) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 im im)) #s(literal -1/3 binary64)) (*.f64 im im)) im))))
(*.f64 #s(approx (sinh (neg im)) (*.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)) (*.f64 im im)) #s(literal 1 binary64)) im)) (sin.f64 re))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg 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 (sin.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)) (sin.f64 re))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im)))
(*.f64 (*.f64 (sin.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal -3 binary64) im))) #s(approx (/ (* (sin re) 1/2) (+ (* 2 (cosh (* -2 im))) 1)) (*.f64 #s(literal 1/6 binary64) (sin.f64 re))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) #s(approx (* (- (* (* im im) -1/3) 2) im) (*.f64 (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 im im)) #s(literal -1/3 binary64)) (pow.f64 im #s(literal 3 binary64))))))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal -3 binary64) im))) (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) #s(approx (cosh (* -2 im)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (sinh.f64 (*.f64 im #s(literal -3 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))) (fma.f64 #s(approx (cosh (* -2 im)) #s(literal 1 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (sin.f64 re) (/.f64 (/.f64 (sin.f64 re) im) im)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) #s(approx (* (- (* (* im im) -1/3) 2) im) (*.f64 (pow.f64 im #s(literal 3/2 binary64)) (*.f64 (pow.f64 im #s(literal 3/2 binary64)) (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 im im)) #s(literal -1/3 binary64)))))))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal -3 binary64) im))) (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) im)) #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal -3 binary64) im))) (sin.f64 re)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) im)) #s(literal 1 binary64)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 (sin.f64 re) (cos.f64 (PI.f64)) (*.f64 (cos.f64 re) (sin.f64 (PI.f64)))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (-.f64 (*.f64 (cos.f64 re) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sin.f64 re) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) im))
(*.f64 (/.f64 (*.f64 (sinh.f64 (*.f64 im #s(literal -3 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))) (fma.f64 (pow.f64 #s(approx (cosh (* -2 im)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 #s(approx (cosh (* -2 im)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (cosh (* -2 im)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(*.f64 (/.f64 (*.f64 (sinh.f64 (*.f64 #s(literal -3 binary64) im)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))) (fma.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal -3 binary64) im))) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (pow.f64 (*.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (pow.f64 (*.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64) #s(literal 1 binary64)))))
(/.f64 (*.f64 (*.f64 (sinh.f64 (*.f64 #s(literal -3 binary64) im)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))) (-.f64 (pow.f64 (*.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (pow.f64 (*.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64) #s(literal 1 binary64)))))
(*.f64 (/.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 im #s(literal -3 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 im #s(literal -3 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (sinh.f64 (*.f64 im #s(literal -3 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 im #s(literal -3 binary64))) #s(literal 2 binary64)) (pow.f64 (sinh.f64 (*.f64 im #s(literal -3 binary64))) #s(literal 2 binary64))))) (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) #s(approx (cosh (* -2 im)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 (sinh.f64 (*.f64 #s(literal -3 binary64) im)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))) (-.f64 (pow.f64 (*.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 (fma.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64))))))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal -3 binary64) im))) (sin.f64 re)) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -6 binary64)))) (+.f64 (-.f64 (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))) (pow.f64 (exp.f64 im) #s(literal -4 binary64))))
Outputs
(*.f64 (sinh.f64 (neg.f64 im)) (sin.f64 re))
Calls

6 calls:

44.0ms
im
27.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
20.0ms
(sin.f64 re)
16.0ms
re
15.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
Results
AccuracySegmentsBranch
99.9%1(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
99.9%1(sin.f64 re)
99.9%1(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
99.9%1(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
99.9%1re
99.9%1im
Compiler

Compiled 25 to 28 computations (-12% saved)

regimes90.0ms (0.8%)

Memory
-0.4MiB live, 134.8MiB allocated
Counts
41 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 #s(approx (* im (+ (* (* 1/6 re) re) -1)) (*.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64)) re) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64)) (*.f64 re im))))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (fma.f64 (*.f64 im #s(literal 1/6 binary64)) (*.f64 re re) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (fma.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (fma.f64 (*.f64 (*.f64 re re) #s(literal 1/6 binary64)) im (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) #s(literal 1 binary64)) re)) im))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im) re)))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) re) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* -1/60 (* im im)) 1/3) im) (*.f64 #s(literal -1/3 binary64) im)) im) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/120 (* re re)) 1/6) (*.f64 #s(literal -1/120 binary64) (*.f64 re re))) re) re) #s(literal 1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/120 binary64) re) re #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64)) re)) im))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) (*.f64 #s(approx (* (sin re) im) (*.f64 (fma.f64 (*.f64 (*.f64 re im) re) #s(literal -1/6 binary64) im) re)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 #s(approx (+ (* (* (* (* (- (* (* im im) -1/6) 1) re) re) im) -1/6) (* (- (* (* im im) -1/6) 1) im)) (*.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im) #s(literal -1/6 binary64)) re) re)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.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 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 re re)) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64)) re)) im))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.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 (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) re) re) im) #s(literal -1/6 binary64) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg 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 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 (sin.f64 re)) im))
(*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (sin.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
(*.f64 #s(approx (* 2 (sinh (* -3 im))) (*.f64 #s(literal -6 binary64) im)) (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) #s(approx (cosh (* -2 im)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg 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 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 re re)) #s(literal 1/120 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) #s(literal 1 binary64))) re)) im))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) #s(approx (* (- (* (* im im) -1/3) 2) im) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 im im)) #s(literal -1/3 binary64)) im) (*.f64 im im)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) #s(approx (* (- (* (* im im) -1/3) 2) im) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 im im)) #s(literal -1/3 binary64)) (*.f64 im im)) im))))
(*.f64 #s(approx (sinh (neg im)) (*.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)) (*.f64 im im)) #s(literal 1 binary64)) im)) (sin.f64 re))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg 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 (sin.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
(*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)))
(*.f64 #s(approx (sinh (neg im)) (*.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)) (*.f64 im im)) #s(literal 1 binary64)) im)) (sin.f64 re))
Calls

6 calls:

23.0ms
im
21.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
13.0ms
(sin.f64 re)
11.0ms
re
11.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
Results
AccuracySegmentsBranch
91.7%1(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
95.4%3(sin.f64 re)
95.4%3(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
98.0%2(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
95.4%2re
98.3%3im
Compiler

Compiled 25 to 28 computations (-12% saved)

regimes13.0ms (0.1%)

Memory
-33.1MiB live, 23.8MiB allocated
Counts
38 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 #s(approx (* im (+ (* (* 1/6 re) re) -1)) (*.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64)) re) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64)) (*.f64 re im))))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (fma.f64 (*.f64 im #s(literal 1/6 binary64)) (*.f64 re re) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (fma.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (fma.f64 (*.f64 (*.f64 re re) #s(literal 1/6 binary64)) im (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) #s(literal 1 binary64)) re)) im))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im) re)))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) re) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* -1/60 (* im im)) 1/3) im) (*.f64 #s(literal -1/3 binary64) im)) im) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/120 (* re re)) 1/6) (*.f64 #s(literal -1/120 binary64) (*.f64 re re))) re) re) #s(literal 1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/120 binary64) re) re #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64)) re)) im))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) (*.f64 #s(approx (* (sin re) im) (*.f64 (fma.f64 (*.f64 (*.f64 re im) re) #s(literal -1/6 binary64) im) re)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 #s(approx (+ (* (* (* (* (- (* (* im im) -1/6) 1) re) re) im) -1/6) (* (- (* (* im im) -1/6) 1) im)) (*.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im) #s(literal -1/6 binary64)) re) re)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.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 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 re re)) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64)) re)) im))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.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 (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) re) re) im) #s(literal -1/6 binary64) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg 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 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 (sin.f64 re)) im))
(*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (sin.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
(*.f64 #s(approx (* 2 (sinh (* -3 im))) (*.f64 #s(literal -6 binary64) im)) (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) #s(approx (cosh (* -2 im)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg 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 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 re re)) #s(literal 1/120 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) #s(literal 1 binary64))) re)) im))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) #s(approx (* (- (* (* im im) -1/3) 2) im) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 im im)) #s(literal -1/3 binary64)) im) (*.f64 im im)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) #s(approx (* (- (* (* im im) -1/3) 2) im) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 im im)) #s(literal -1/3 binary64)) (*.f64 im im)) im))))
Outputs
(*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
Calls

1 calls:

11.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
97.6%2(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Compiler

Compiled 11 to 10 computations (9.1% saved)

regimes8.0ms (0.1%)

Memory
22.6MiB live, 22.5MiB allocated
Counts
32 → 3
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 #s(approx (* im (+ (* (* 1/6 re) re) -1)) (*.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64)) re) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64)) (*.f64 re im))))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (fma.f64 (*.f64 im #s(literal 1/6 binary64)) (*.f64 re re) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (fma.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (fma.f64 (*.f64 (*.f64 re re) #s(literal 1/6 binary64)) im (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) #s(literal 1 binary64)) re)) im))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im) re)))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) re) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* -1/60 (* im im)) 1/3) im) (*.f64 #s(literal -1/3 binary64) im)) im) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/120 (* re re)) 1/6) (*.f64 #s(literal -1/120 binary64) (*.f64 re re))) re) re) #s(literal 1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/120 binary64) re) re #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64)) re)) im))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) (*.f64 #s(approx (* (sin re) im) (*.f64 (fma.f64 (*.f64 (*.f64 re im) re) #s(literal -1/6 binary64) im) re)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 #s(approx (+ (* (* (* (* (- (* (* im im) -1/6) 1) re) re) im) -1/6) (* (- (* (* im im) -1/6) 1) im)) (*.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im) #s(literal -1/6 binary64)) re) re)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.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 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 re re)) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64)) re)) im))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.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 (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) re) re) im) #s(literal -1/6 binary64) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg 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 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 (sin.f64 re)) im))
(*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (sin.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
Outputs
(*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
Calls

1 calls:

6.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
99.0%3(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Compiler

Compiled 11 to 10 computations (9.1% saved)

regimes38.0ms (0.3%)

Memory
-27.1MiB live, 18.5MiB allocated
Counts
29 → 3
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 #s(approx (* im (+ (* (* 1/6 re) re) -1)) (*.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64)) re) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64)) (*.f64 re im))))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (fma.f64 (*.f64 im #s(literal 1/6 binary64)) (*.f64 re re) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (fma.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (fma.f64 (*.f64 (*.f64 re re) #s(literal 1/6 binary64)) im (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) #s(literal 1 binary64)) re)) im))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im) re)))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) re) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* -1/60 (* im im)) 1/3) im) (*.f64 #s(literal -1/3 binary64) im)) im) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/120 (* re re)) 1/6) (*.f64 #s(literal -1/120 binary64) (*.f64 re re))) re) re) #s(literal 1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/120 binary64) re) re #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64)) re)) im))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) (*.f64 #s(approx (* (sin re) im) (*.f64 (fma.f64 (*.f64 (*.f64 re im) re) #s(literal -1/6 binary64) im) re)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 #s(approx (+ (* (* (* (* (- (* (* im im) -1/6) 1) re) re) im) -1/6) (* (- (* (* im im) -1/6) 1) im)) (*.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im) #s(literal -1/6 binary64)) re) re)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.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 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 re re)) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64)) re)) im))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.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 (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) re) re) im) #s(literal -1/6 binary64) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg 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 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 (sin.f64 re)) im))
(*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)))
Outputs
(*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 (sin.f64 re)) im))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
Calls

1 calls:

6.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
98.9%3(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Compiler

Compiled 11 to 10 computations (9.1% saved)

regimes64.0ms (0.5%)

Memory
12.5MiB live, 59.2MiB allocated
Counts
28 → 3
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 #s(approx (* im (+ (* (* 1/6 re) re) -1)) (*.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64)) re) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64)) (*.f64 re im))))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (fma.f64 (*.f64 im #s(literal 1/6 binary64)) (*.f64 re re) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (fma.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (fma.f64 (*.f64 (*.f64 re re) #s(literal 1/6 binary64)) im (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) #s(literal 1 binary64)) re)) im))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im) re)))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) re) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* -1/60 (* im im)) 1/3) im) (*.f64 #s(literal -1/3 binary64) im)) im) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/120 (* re re)) 1/6) (*.f64 #s(literal -1/120 binary64) (*.f64 re re))) re) re) #s(literal 1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/120 binary64) re) re #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64)) re)) im))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) (*.f64 #s(approx (* (sin re) im) (*.f64 (fma.f64 (*.f64 (*.f64 re im) re) #s(literal -1/6 binary64) im) re)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 #s(approx (+ (* (* (* (* (- (* (* im im) -1/6) 1) re) re) im) -1/6) (* (- (* (* im im) -1/6) 1) im)) (*.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im) #s(literal -1/6 binary64)) re) re)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.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 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 re re)) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64)) re)) im))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.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 (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) re) re) im) #s(literal -1/6 binary64) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg 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 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 (sin.f64 re)) im))
Outputs
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 (sin.f64 re)) im))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
Calls

6 calls:

27.0ms
(sin.f64 re)
8.0ms
im
8.0ms
re
8.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
6.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
82.1%2(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
74.8%3(sin.f64 re)
74.8%3(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
70.7%2re
82.1%2im
94.6%3(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Compiler

Compiled 25 to 28 computations (-12% saved)

regimes67.0ms (0.6%)

Memory
18.0MiB live, 63.4MiB allocated
Counts
27 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 #s(approx (* im (+ (* (* 1/6 re) re) -1)) (*.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64)) re) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64)) (*.f64 re im))))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (fma.f64 (*.f64 im #s(literal 1/6 binary64)) (*.f64 re re) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (fma.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (fma.f64 (*.f64 (*.f64 re re) #s(literal 1/6 binary64)) im (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) #s(literal 1 binary64)) re)) im))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im) re)))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) re) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* -1/60 (* im im)) 1/3) im) (*.f64 #s(literal -1/3 binary64) im)) im) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/120 (* re re)) 1/6) (*.f64 #s(literal -1/120 binary64) (*.f64 re re))) re) re) #s(literal 1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/120 binary64) re) re #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64)) re)) im))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) (*.f64 #s(approx (* (sin re) im) (*.f64 (fma.f64 (*.f64 (*.f64 re im) re) #s(literal -1/6 binary64) im) re)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 #s(approx (+ (* (* (* (* (- (* (* im im) -1/6) 1) re) re) im) -1/6) (* (- (* (* im im) -1/6) 1) im)) (*.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im) #s(literal -1/6 binary64)) re) re)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.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 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 re re)) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64)) re)) im))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.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 (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) re) re) im) #s(literal -1/6 binary64) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg 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 (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) (*.f64 #s(approx (* (sin re) im) (*.f64 (fma.f64 (*.f64 (*.f64 re im) re) #s(literal -1/6 binary64) im) re)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
Calls

5 calls:

40.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
7.0ms
(sin.f64 re)
7.0ms
im
5.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
5.0ms
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
Results
AccuracySegmentsBranch
71.0%2(sin.f64 re)
71.0%2(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
58.3%1(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
58.3%1im
70.9%2(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Compiler

Compiled 24 to 26 computations (-8.3% saved)

regimes44.0ms (0.4%)

Memory
-21.5MiB live, 37.0MiB allocated
Counts
24 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 #s(approx (* im (+ (* (* 1/6 re) re) -1)) (*.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64)) re) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64)) (*.f64 re im))))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (fma.f64 (*.f64 im #s(literal 1/6 binary64)) (*.f64 re re) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (fma.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (fma.f64 (*.f64 (*.f64 re re) #s(literal 1/6 binary64)) im (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) #s(literal 1 binary64)) re)) im))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im) re)))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) re) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* -1/60 (* im im)) 1/3) im) (*.f64 #s(literal -1/3 binary64) im)) im) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/120 (* re re)) 1/6) (*.f64 #s(literal -1/120 binary64) (*.f64 re re))) re) re) #s(literal 1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/120 binary64) re) re #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64)) re)) im))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) (*.f64 #s(approx (* (sin re) im) (*.f64 (fma.f64 (*.f64 (*.f64 re im) re) #s(literal -1/6 binary64) im) re)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 #s(approx (+ (* (* (* (* (- (* (* im im) -1/6) 1) re) re) im) -1/6) (* (- (* (* im im) -1/6) 1) im)) (*.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im) #s(literal -1/6 binary64)) re) re)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.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 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 re re)) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64)) re)) im))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
Outputs
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
Calls

4 calls:

24.0ms
(sin.f64 re)
7.0ms
re
7.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
5.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
59.1%2re
68.3%2(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
69.1%2(sin.f64 re)
69.1%2(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
Compiler

Compiled 18 to 20 computations (-11.1% saved)

regimes15.0ms (0.1%)

Memory
19.3MiB live, 19.3MiB allocated
Counts
23 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 #s(approx (* im (+ (* (* 1/6 re) re) -1)) (*.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64)) re) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64)) (*.f64 re im))))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (fma.f64 (*.f64 im #s(literal 1/6 binary64)) (*.f64 re re) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (fma.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (fma.f64 (*.f64 (*.f64 re re) #s(literal 1/6 binary64)) im (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) #s(literal 1 binary64)) re)) im))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im) re)))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) re) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* -1/60 (* im im)) 1/3) im) (*.f64 #s(literal -1/3 binary64) im)) im) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/120 (* re re)) 1/6) (*.f64 #s(literal -1/120 binary64) (*.f64 re re))) re) re) #s(literal 1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/120 binary64) re) re #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64)) re)) im))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) (*.f64 #s(approx (* (sin re) im) (*.f64 (fma.f64 (*.f64 (*.f64 re im) re) #s(literal -1/6 binary64) im) re)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 #s(approx (+ (* (* (* (* (- (* (* im im) -1/6) 1) re) re) im) -1/6) (* (- (* (* im im) -1/6) 1) im)) (*.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im) #s(literal -1/6 binary64)) re) re)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.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 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 re re)) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64)) re)) im))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.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 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.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 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64)) re)) im))
Calls

2 calls:

7.0ms
(sin.f64 re)
6.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
Results
AccuracySegmentsBranch
69.1%2(sin.f64 re)
69.1%2(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
Compiler

Compiled 6 to 8 computations (-33.3% saved)

regimes18.0ms (0.2%)

Memory
-20.5MiB live, 26.3MiB allocated
Counts
22 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 #s(approx (* im (+ (* (* 1/6 re) re) -1)) (*.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64)) re) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64)) (*.f64 re im))))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (fma.f64 (*.f64 im #s(literal 1/6 binary64)) (*.f64 re re) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (fma.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (fma.f64 (*.f64 (*.f64 re re) #s(literal 1/6 binary64)) im (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) #s(literal 1 binary64)) re)) im))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im) re)))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) re) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* -1/60 (* im im)) 1/3) im) (*.f64 #s(literal -1/3 binary64) im)) im) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/120 (* re re)) 1/6) (*.f64 #s(literal -1/120 binary64) (*.f64 re re))) re) re) #s(literal 1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/120 binary64) re) re #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64)) re)) im))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) (*.f64 #s(approx (* (sin re) im) (*.f64 (fma.f64 (*.f64 (*.f64 re im) re) #s(literal -1/6 binary64) im) re)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 #s(approx (+ (* (* (* (* (- (* (* im im) -1/6) 1) re) re) im) -1/6) (* (- (* (* im im) -1/6) 1) im)) (*.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im) #s(literal -1/6 binary64)) re) re)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.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 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 re re)) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64)) re)) im))
Outputs
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) (*.f64 #s(approx (* (sin re) im) (*.f64 (fma.f64 (*.f64 (*.f64 re im) re) #s(literal -1/6 binary64) im) re)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
Calls

2 calls:

10.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
6.0ms
(sin.f64 re)
Results
AccuracySegmentsBranch
68.4%2(sin.f64 re)
68.4%2(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
Compiler

Compiled 6 to 8 computations (-33.3% saved)

regimes47.0ms (0.4%)

Memory
-3.4MiB live, 43.0MiB allocated
Counts
20 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 #s(approx (* im (+ (* (* 1/6 re) re) -1)) (*.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64)) re) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64)) (*.f64 re im))))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (fma.f64 (*.f64 im #s(literal 1/6 binary64)) (*.f64 re re) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (fma.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (fma.f64 (*.f64 (*.f64 re re) #s(literal 1/6 binary64)) im (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) #s(literal 1 binary64)) re)) im))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im) re)))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) re) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* -1/60 (* im im)) 1/3) im) (*.f64 #s(literal -1/3 binary64) im)) im) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/120 (* re re)) 1/6) (*.f64 #s(literal -1/120 binary64) (*.f64 re re))) re) re) #s(literal 1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/120 binary64) re) re #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64)) re)) im))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) (*.f64 #s(approx (* (sin re) im) (*.f64 (fma.f64 (*.f64 (*.f64 re im) re) #s(literal -1/6 binary64) im) re)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 #s(approx (+ (* (* (* (* (- (* (* im im) -1/6) 1) re) re) im) -1/6) (* (- (* (* im im) -1/6) 1) im)) (*.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im) #s(literal -1/6 binary64)) re) re)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
Outputs
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64)) re)) im))
Calls

3 calls:

34.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
6.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
5.0ms
(sin.f64 re)
Results
AccuracySegmentsBranch
64.5%2(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
66.4%2(sin.f64 re)
66.4%2(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes12.0ms (0.1%)

Memory
23.2MiB live, 23.2MiB allocated
Counts
19 → 3
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 #s(approx (* im (+ (* (* 1/6 re) re) -1)) (*.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64)) re) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64)) (*.f64 re im))))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (fma.f64 (*.f64 im #s(literal 1/6 binary64)) (*.f64 re re) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (fma.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (fma.f64 (*.f64 (*.f64 re re) #s(literal 1/6 binary64)) im (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) #s(literal 1 binary64)) re)) im))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im) re)))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) re) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* -1/60 (* im im)) 1/3) im) (*.f64 #s(literal -1/3 binary64) im)) im) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/120 (* re re)) 1/6) (*.f64 #s(literal -1/120 binary64) (*.f64 re re))) re) re) #s(literal 1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/120 binary64) re) re #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64)) re)) im))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) (*.f64 #s(approx (* (sin re) im) (*.f64 (fma.f64 (*.f64 (*.f64 re im) re) #s(literal -1/6 binary64) im) re)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 #s(approx (+ (* (* (* (* (- (* (* im im) -1/6) 1) re) re) im) -1/6) (* (- (* (* im im) -1/6) 1) im)) (*.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im) #s(literal -1/6 binary64)) re) re)) re)))
Outputs
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) (*.f64 #s(approx (* (sin re) im) (*.f64 (fma.f64 (*.f64 (*.f64 re im) re) #s(literal -1/6 binary64) im) re)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64)) re)) im))
Calls

2 calls:

5.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
5.0ms
(sin.f64 re)
Results
AccuracySegmentsBranch
66.3%3(sin.f64 re)
66.3%3(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
Compiler

Compiled 6 to 8 computations (-33.3% saved)

regimes70.0ms (0.6%)

Memory
-28.5MiB live, 18.9MiB allocated
Counts
17 → 3
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 #s(approx (* im (+ (* (* 1/6 re) re) -1)) (*.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64)) re) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64)) (*.f64 re im))))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (fma.f64 (*.f64 im #s(literal 1/6 binary64)) (*.f64 re re) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (fma.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (fma.f64 (*.f64 (*.f64 re re) #s(literal 1/6 binary64)) im (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) #s(literal 1 binary64)) re)) im))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im) re)))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) re) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* -1/60 (* im im)) 1/3) im) (*.f64 #s(literal -1/3 binary64) im)) im) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/120 (* re re)) 1/6) (*.f64 #s(literal -1/120 binary64) (*.f64 re re))) re) re) #s(literal 1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/120 binary64) re) re #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64)) re)) im))
Outputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (fma.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64) (neg.f64 im)) re)))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64)) re)) im))
Calls

3 calls:

59.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
5.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
5.0ms
(sin.f64 re)
Results
AccuracySegmentsBranch
62.7%2(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
64.5%3(sin.f64 re)
64.5%3(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes10.0ms (0.1%)

Memory
11.5MiB live, 11.5MiB allocated
Counts
15 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 #s(approx (* im (+ (* (* 1/6 re) re) -1)) (*.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64)) re) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64)) (*.f64 re im))))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (fma.f64 (*.f64 im #s(literal 1/6 binary64)) (*.f64 re re) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (fma.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (fma.f64 (*.f64 (*.f64 re re) #s(literal 1/6 binary64)) im (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) #s(literal 1 binary64)) re)) im))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im) re)))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) re) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 #s(approx (* (- (* -1/60 (* im im)) 1/3) im) (*.f64 #s(literal -1/3 binary64) im)) im) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/120 (* re re)) 1/6) (*.f64 #s(literal -1/120 binary64) (*.f64 re re))) re) re) #s(literal 1 binary64)) re)) im))
Outputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (fma.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64) (neg.f64 im)) re)))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im) re)))
Calls

2 calls:

5.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
4.0ms
(sin.f64 re)
Results
AccuracySegmentsBranch
62.8%2(sin.f64 re)
62.8%2(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
Compiler

Compiled 6 to 8 computations (-33.3% saved)

regimes10.0ms (0.1%)

Memory
16.1MiB live, 16.1MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 #s(approx (* im (+ (* (* 1/6 re) re) -1)) (*.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64)) re) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64)) (*.f64 re im))))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (fma.f64 (*.f64 im #s(literal 1/6 binary64)) (*.f64 re re) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (fma.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (fma.f64 (*.f64 (*.f64 re re) #s(literal 1/6 binary64)) im (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) #s(literal 1 binary64)) re)) im))
Outputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (fma.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64) (neg.f64 im)) re)))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
Calls

3 calls:

3.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
3.0ms
(sin.f64 re)
2.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
60.1%2(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
60.2%2(sin.f64 re)
60.2%2(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes6.0ms (0%)

Memory
11.6MiB live, 11.6MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 #s(approx (* im (+ (* (* 1/6 re) re) -1)) (*.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64)) re) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64)) (*.f64 re im))))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (fma.f64 (*.f64 im #s(literal 1/6 binary64)) (*.f64 re re) (neg.f64 im)) re)))
Outputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 #s(approx (* im (+ (* (* 1/6 re) re) -1)) (*.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64))) re)))
#s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
Calls

2 calls:

3.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
3.0ms
(sin.f64 re)
Results
AccuracySegmentsBranch
60.2%2(sin.f64 re)
60.2%2(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
Compiler

Compiled 6 to 8 computations (-33.3% saved)

regimes296.0ms (2.5%)

Memory
-26.4MiB live, 23.9MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 #s(approx (* im (+ (* (* 1/6 re) re) -1)) (*.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64)) re) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64)) (*.f64 re im))))
Outputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
Calls

6 calls:

285.0ms
(sin.f64 re)
2.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
2.0ms
re
2.0ms
im
2.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
38.3%2re
36.1%1(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
37.7%2im
44.1%2(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
44.3%2(sin.f64 re)
44.3%2(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
Compiler

Compiled 25 to 28 computations (-12% saved)

regimes3.0ms (0%)

Memory
7.2MiB live, 7.2MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 #s(approx (* im (+ (* (* 1/6 re) re) -1)) (*.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64))) re)))
Outputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 #s(approx (* im (+ (* (* 1/6 re) re) -1)) (*.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
Calls

2 calls:

1.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
1.0ms
(sin.f64 re)
Results
AccuracySegmentsBranch
44.2%2(sin.f64 re)
44.2%2(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
Compiler

Compiled 6 to 8 computations (-33.3% saved)

regimes6.0ms (0.1%)

Memory
14.0MiB live, 14.0MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

6 calls:

1.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
1.0ms
(sin.f64 re)
1.0ms
im
1.0ms
re
1.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
33.4%1(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
33.4%1im
33.4%1re
33.4%1(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
33.4%1(sin.f64 re)
33.4%1(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
Compiler

Compiled 25 to 28 computations (-12% saved)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-inf
-3.4222991495590145e-10
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-inf
-3.4222991495590145e-10
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.08036185785874045
+inf
0.0ms
-inf
-3.4222991495590145e-10
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.08036185785874045
+inf
0.0ms
-2.331604495286347e-214
0.0
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.08036185785874045
+inf
0.0ms
-inf
-3.4222991495590145e-10
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.010472087550463331
8.531343609730452e-308
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.021318511890741604
0.028961270366954363
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.021318511890741604
0.028961270366954363
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.010472087550463331
8.531343609730452e-308
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0008873970974596035
0.011559266950948374
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.021318511890741604
0.028961270366954363
0.0ms
8.933412815226003e-304
1.4659438783286595e-303
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch13.0ms (0.1%)

Memory
-46.4MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.021318511890741604
0.028961270366954363
0.0ms
-0.010472087550463331
8.531343609730452e-308
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.010472087550463331
8.531343609730452e-308
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.010472087550463331
8.531343609730452e-308
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.010472087550463331
8.531343609730452e-308
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.158292905215201e-5
5.537209203786043e-5
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.010472087550463331
8.531343609730452e-308
Compiler

Compiled 14 to 15 computations (-7.1% saved)

simplify70.0ms (0.6%)

Memory
30.6MiB live, 77.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01931369
12971369
25091369
311701336
441541336
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (sinh.f64 (neg.f64 im)) (sin.f64 re))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))) (*.f64 #s(approx (sinh (neg im)) (*.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)) (*.f64 im im)) #s(literal 1 binary64)) im)) (sin.f64 re)))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im)))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -4851619038439715/24258095192198577111702804507226602425888844017448384549047688094157046135724638848919975137947601217976370792142673018846430938189293974866316988672518455300069609000325779774222895087993725700394734362401819824232700732090875904 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 (sin.f64 re)) im)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 (sin.f64 re)) im)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))))
(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(literal -5764607523034235/576460752303423488 binary64)) #s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) (*.f64 #s(approx (* (sin re) im) (*.f64 (fma.f64 (*.f64 (*.f64 re im) re) #s(literal -1/6 binary64) im) re)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))))
(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(literal 3602879701896397/144115188075855872 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im))))
(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(literal 3602879701896397/144115188075855872 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.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 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64)) re)) im)))
(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(literal -5764607523034235/576460752303423488 binary64)) #s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) (*.f64 #s(approx (* (sin re) im) (*.f64 (fma.f64 (*.f64 (*.f64 re im) re) #s(literal -1/6 binary64) im) re)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))))
(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(literal 1152921504606847/1152921504606846976 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im))) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64)) re)) im)))
(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(literal 6176826577981891/6176826577981891429214335532193521333299458305790469920559733826520701280761576748411876944013584121557222835214746457256769065471978560695404461668113357846725995613908885539687100455996497080726311269484641878313049544782247701984195048695347886851221010025401573777842206256568313675909006576801941109109732291903488 binary64)) #s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) (*.f64 #s(approx (* (sin re) im) (*.f64 (fma.f64 (*.f64 (*.f64 re im) re) #s(literal -1/6 binary64) im) re)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) (if (<=.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(literal 3602879701896397/144115188075855872 binary64)) #s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im) re))) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64)) re)) im))))
(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(literal -5764607523034235/576460752303423488 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (fma.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64) (neg.f64 im)) re))) (if (<=.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(literal 3602879701896397/144115188075855872 binary64)) #s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im) re))) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) re) re) #s(literal 1 binary64)) re)) im))))
(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(literal -5764607523034235/576460752303423488 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (fma.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64) (neg.f64 im)) re))) #s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im) re))))
(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(literal -5764607523034235/576460752303423488 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (fma.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64) (neg.f64 im)) re))) #s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))))
(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(literal -5764607523034235/576460752303423488 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 #s(approx (* im (+ (* (* 1/6 re) re) -1)) (*.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64))) re))) #s(approx (* (* (sin re) (* 2 (sinh (neg im)))) 1/2) (*.f64 #s(approx (* (sin re) im) (*.f64 re im)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))))
(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(literal 5902958103587057/295147905179352825856 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re))) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im)))
(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(literal -5764607523034235/576460752303423488 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (*.f64 #s(approx (* im (+ (* (* 1/6 re) re) -1)) (*.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64))) re))) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
Outputs
(*.f64 (sinh.f64 (neg.f64 im)) (sin.f64 re))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))) (*.f64 #s(approx (sinh (neg im)) (*.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)) (*.f64 im im)) #s(literal 1 binary64)) im)) (sin.f64 re)))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (*.f64 (*.f64 (neg.f64 #s(literal 2 binary64)) (sinh.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))) (*.f64 #s(approx (sinh (neg im)) (*.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)) (*.f64 im im)) #s(literal 1 binary64)) im)) (sin.f64 re)))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im)))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (*.f64 (*.f64 (neg.f64 #s(literal 2 binary64)) (sinh.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) (fma.f64 (*.f64 im im) (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im)))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (*.f64 (sin.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (-.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)))))
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#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))

soundness2.5s (20.9%)

Memory
-37.0MiB live, 1 596.0MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0146434
1474401
21567388
34246378
08228351
01028
01728
14328
226826
3324326
0918726
044207
072206
1183192
0973192
05112232
116892012
265941971
086711884
02711069
1923911
23519875
37878875
08052826
04571927
115141665
257521619
083511544
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 2 437 to 1 023 computations (58% saved)

preprocess160.0ms (1.4%)

Memory
-10.4MiB live, 322.0MiB allocated
Remove

(negabs re)

(negabs im)

Compiler

Compiled 2 882 to 488 computations (83.1% saved)

end0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

Profiling

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