math.sin on complex, imaginary part

Time bar (total: 9.1s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB 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 14 to 13 computations (7.1% saved)

sample2.3s (24.9%)

Memory
87.6MiB live, 3 092.4MiB allocated
Samples
834.0ms1 541×2valid
603.0ms2 454×1valid
471.0ms4 261×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.6s
ival-exp: 916.0ms (57.9% of total)
ival-cos: 197.0ms (12.4% of total)
ival-mult: 184.0ms (11.6% of total)
adjust: 146.0ms (9.2% of total)
ival-sub: 120.0ms (7.6% of total)
exact: 9.0ms (0.6% of total)
ival-true: 6.0ms (0.4% of total)
ival-assert: 4.0ms (0.3% of total)
Bogosity

explain229.0ms (2.5%)

Memory
-4.4MiB live, 232.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1230-0-(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
00-0-(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
00-0-(exp.f64 im)
00-0-#s(literal 0 binary64)
00-0-(cos.f64 re)
00-0-im
00-0-(-.f64 #s(literal 0 binary64) im)
00-0-re
00-0-(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
00-0-#s(literal 1/2 binary64)
00-0-(exp.f64 (-.f64 #s(literal 0 binary64) im))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))cancellation1230
Confusion
Predicted +Predicted -
+1230
-0133
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+12300
-00133
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0133
1123
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
83.0ms272×0valid
45.0ms108×2valid
33.0ms132×1valid
Compiler

Compiled 92 to 37 computations (59.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 121.0ms
ival-cos: 50.0ms (41.4% of total)
ival-exp: 47.0ms (38.9% of total)
adjust: 8.0ms (6.6% of total)
ival-mult: 8.0ms (6.6% of total)
ival-sub: 6.0ms (5% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess167.0ms (1.8%)

Memory
-1.8MiB live, 143.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 4 (0.0ms)

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

(abs re)

(negabs im)

Compiler

Compiled 12 to 11 computations (8.3% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.5%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify89.0ms (1%)

Memory
11.6MiB live, 104.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 4 (0.0ms)

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

localize110.0ms (1.2%)

Memory
-29.1MiB live, 77.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(exp.f64 im)
accuracy0.00390625
(cos.f64 re)
accuracy0.03515625
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
accuracy28.476766315624605
(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
Samples
33.0ms54×2valid
14.0ms66×1valid
12.0ms136×0valid
Compiler

Compiled 40 to 13 computations (67.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-exp: 31.0ms (65.2% of total)
ival-cos: 5.0ms (10.5% of total)
adjust: 4.0ms (8.4% of total)
ival-mult: 4.0ms (8.4% of total)
ival-sub: 3.0ms (6.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
7.7MiB live, 7.7MiB allocated
Counts
6 → 31
Calls
Call 1
Inputs
(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
(-.f64 #s(literal 0 binary64) im)
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(cos.f64 re)
(exp.f64 im)
Outputs
(* 1/2 (- (exp (neg im)) (exp im)))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im)))))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im))))))))
1/2
(+ 1/2 (* -1/4 (pow re 2)))
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))
1
(+ 1 (* -1/2 (pow re 2)))
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* 1/2 (cos re))
(cos re)
(* -2 im)
(* im (- (* -1/3 (pow im 2)) 2))
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
(* -1 im)
(* -1 (* im (cos re)))
(* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re)))))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re)))))))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re)))))))))
(+ 1 im)
(+ 1 (* im (+ 1 (* 1/2 im))))
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))
(- (exp (neg im)) (exp im))
(exp im)
(- (exp (* -1 im)) (exp im))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
Calls

6 calls:

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

simplify235.0ms (2.6%)

Memory
37.5MiB live, 215.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite248.0ms (2.7%)

Memory
-13.0MiB live, 205.8MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

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

eval44.0ms (0.5%)

Memory
37.2MiB live, 79.8MiB allocated
Compiler

Compiled 5 110 to 871 computations (83% saved)

prune24.0ms (0.3%)

Memory
-12.1MiB live, 31.9MiB allocated
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1987205
Fresh000
Picked101
Done000
Total1997206
Accuracy
100.0%
Counts
206 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(*.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64))
48.3%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))))
92.7%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
90.1%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
83.7%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
43.8%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)))
50.6%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
Compiler

Compiled 334 to 252 computations (24.6% saved)

simplify223.0ms (2.5%)

Memory
-11.6MiB live, 185.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

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

Useful iterations: 3 (0.0ms)

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

localize265.0ms (2.9%)

Memory
-17.8MiB live, 415.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0859375
(*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im)
accuracy0.1015625
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im))
accuracy0.3334853787704472
(*.f64 #s(literal -1/2520 binary64) (*.f64 im im))
accuracy4.618888308443957
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))
accuracy0.09765625
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im)
accuracy0.1171875
(*.f64 #s(literal -1/60 binary64) (*.f64 im im))
accuracy0.23046875
(*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im)
accuracy6.323384354435895
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))
accuracy0.03515625
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
accuracy0.05078125
(*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)
accuracy0.17578125
(*.f64 (*.f64 im im) #s(literal -1/3 binary64))
accuracy10.368073208400773
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im))
accuracy0.0
(neg.f64 (cos.f64 re))
accuracy0.00390625
(cos.f64 re)
accuracy0.0859375
(*.f64 (neg.f64 (cos.f64 re)) im)
accuracy31.583476429980664
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
accuracy0.0
(sinh.f64 (neg.f64 im))
accuracy0.0
(neg.f64 im)
accuracy0.00390625
(cos.f64 re)
accuracy0.03515625
(*.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))))
Samples
114.0ms66×1valid
60.0ms136×0valid
54.0ms54×2valid
Compiler

Compiled 345 to 44 computations (87.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 151.0ms
adjust: 53.0ms (35.1% of total)
ival-mult: 32.0ms (21.2% of total)
ival-exp: 23.0ms (15.2% of total)
const: 17.0ms (11.3% of total)
ival-sub: 13.0ms (8.6% of total)
ival-cos: 8.0ms (5.3% of total)
ival-neg: 2.0ms (1.3% of total)
ival-sinh: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series28.0ms (0.3%)

Memory
20.1MiB live, 66.4MiB allocated
Counts
24 → 76
Calls
Call 1
Inputs
(*.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64))
(*.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))))
(cos.f64 re)
(*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
(*.f64 (neg.f64 (cos.f64 re)) im)
(neg.f64 (cos.f64 re))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))
(neg.f64 im)
(sinh.f64 (neg.f64 im))
(*.f64 (*.f64 im im) #s(literal -1/3 binary64))
(*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)
(*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im)
(*.f64 #s(literal -1/60 binary64) (*.f64 im im))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im)
(*.f64 #s(literal -1/2520 binary64) (*.f64 im im))
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im))
(*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im)
Outputs
(* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im)))))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))))
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))))))
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/48 (- (exp (neg im)) (/ 1 (exp (neg im))))))))))
(- (exp (neg im)) (/ 1 (exp (neg im))))
(- (+ (exp (neg im)) (* -1/2 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))) (/ 1 (exp (neg im))))
(- (+ (exp (neg im)) (* (pow re 2) (+ (* -1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/24 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))))) (/ 1 (exp (neg im))))
(- (+ (exp (neg im)) (* (pow re 2) (+ (* -1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/720 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/24 (- (exp (neg im)) (/ 1 (exp (neg im)))))))))) (/ 1 (exp (neg im))))
1
(+ 1 (* -1/2 (pow re 2)))
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))
(* 1/2 (- (exp (neg im)) (exp im)))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im)))))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im))))))))
(* -1 im)
(+ (* -1 im) (* 1/2 (* im (pow re 2))))
(+ (* -1 im) (* (pow re 2) (+ (* -1/24 (* im (pow re 2))) (* 1/2 im))))
(+ (* -1 im) (* (pow re 2) (+ (* 1/2 im) (* (pow re 2) (+ (* -1/24 im) (* 1/720 (* im (pow re 2))))))))
-1
(- (* 1/2 (pow re 2)) 1)
(- (* (pow re 2) (+ 1/2 (* -1/24 (pow re 2)))) 1)
(- (* (pow re 2) (+ 1/2 (* (pow re 2) (- (* 1/720 (pow re 2)) 1/24)))) 1)
1/2
(+ 1/2 (* -1/4 (pow re 2)))
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))
(* 1/2 (* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im))))))
(* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im)))))
(cos re)
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* -1 (* im (cos re)))
(* -1 (cos re))
(* 1/2 (cos re))
(* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re)))))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re)))))))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re)))))))))
(* -2 (* im (cos re)))
(* im (+ (* -2 (cos re)) (* -1/3 (* (pow im 2) (cos re)))))
(* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -1/3 (cos re)) (* -1/60 (* (pow im 2) (cos re)))))))
(* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -1/3 (cos re)) (* (pow im 2) (+ (* -1/60 (cos re)) (* -1/2520 (* (pow im 2) (cos re)))))))))
(* -2 im)
(* im (- (* -1/3 (pow im 2)) 2))
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
(* im (- (* -1/6 (pow im 2)) 1))
(* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) 1/6)) 1))
(* -1/3 (pow im 2))
(* -1/3 im)
(* im (- (* -1/60 (pow im 2)) 1/3))
(* -1/60 (pow im 2))
(* (pow im 2) (- (* -1/60 (pow im 2)) 1/3))
(* -1/2520 (pow im 2))
(* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3))
(* -1/60 im)
(* im (- (* -1/2520 (pow im 2)) 1/60))
(- (exp (neg im)) (exp im))
(* -1/3 (pow im 3))
(* -1 (* (pow im 3) (+ 1/3 (* 2 (/ 1 (pow im 2))))))
(* -1/60 (pow im 3))
(* -1 (* (pow im 3) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(* -1/60 (pow im 4))
(* -1 (* (pow im 4) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(* -1/2520 (pow im 6))
(* -1 (* (pow im 6) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* (pow im 6) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(* -1/2520 (pow im 3))
(* -1 (* (pow im 3) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))))
(* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))
(- (exp (* -1 im)) (/ 1 (exp (* -1 im))))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(- (exp (* -1 im)) (exp im))
(* 1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))
Calls

6 calls:

TimeVariablePointExpression
11.0ms
im
@inf
((* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) (* 2 (sinh (neg im)))) (cos re) (* 2 (sinh (neg im))) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (cos re)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (- (exp (- 0 im)) (exp im)) (neg im) (sinh (neg im)) (* (* im im) -1/3) (* (- (* (* im im) -1/3) 2) im) (* (- (* -1/60 (* im im)) 1/3) im) (* -1/60 (* im im)) (* (* (- (* -1/60 (* im im)) 1/3) im) im) (* -1/2520 (* im im)) (* (- (* (* (- (* -1/2520 (* im im)) 1/60) im) im) 1/3) (* im im)) (* (- (* -1/2520 (* im im)) 1/60) im))
5.0ms
im
@-inf
((* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) (* 2 (sinh (neg im)))) (cos re) (* 2 (sinh (neg im))) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (cos re)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (- (exp (- 0 im)) (exp im)) (neg im) (sinh (neg im)) (* (* im im) -1/3) (* (- (* (* im im) -1/3) 2) im) (* (- (* -1/60 (* im im)) 1/3) im) (* -1/60 (* im im)) (* (* (- (* -1/60 (* im im)) 1/3) im) im) (* -1/2520 (* im im)) (* (- (* (* (- (* -1/2520 (* im im)) 1/60) im) im) 1/3) (* im im)) (* (- (* -1/2520 (* im im)) 1/60) im))
4.0ms
im
@0
((* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) (* 2 (sinh (neg im)))) (cos re) (* 2 (sinh (neg im))) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (cos re)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (- (exp (- 0 im)) (exp im)) (neg im) (sinh (neg im)) (* (* im im) -1/3) (* (- (* (* im im) -1/3) 2) im) (* (- (* -1/60 (* im im)) 1/3) im) (* -1/60 (* im im)) (* (* (- (* -1/60 (* im im)) 1/3) im) im) (* -1/2520 (* im im)) (* (- (* (* (- (* -1/2520 (* im im)) 1/60) im) im) 1/3) (* im im)) (* (- (* -1/2520 (* im im)) 1/60) im))
3.0ms
re
@0
((* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) (* 2 (sinh (neg im)))) (cos re) (* 2 (sinh (neg im))) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (cos re)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (- (exp (- 0 im)) (exp im)) (neg im) (sinh (neg im)) (* (* im im) -1/3) (* (- (* (* im im) -1/3) 2) im) (* (- (* -1/60 (* im im)) 1/3) im) (* -1/60 (* im im)) (* (* (- (* -1/60 (* im im)) 1/3) im) im) (* -1/2520 (* im im)) (* (- (* (* (- (* -1/2520 (* im im)) 1/60) im) im) 1/3) (* im im)) (* (- (* -1/2520 (* im im)) 1/60) im))
2.0ms
re
@inf
((* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) (* 2 (sinh (neg im)))) (cos re) (* 2 (sinh (neg im))) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (cos re)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (- (exp (- 0 im)) (exp im)) (neg im) (sinh (neg im)) (* (* im im) -1/3) (* (- (* (* im im) -1/3) 2) im) (* (- (* -1/60 (* im im)) 1/3) im) (* -1/60 (* im im)) (* (* (- (* -1/60 (* im im)) 1/3) im) im) (* -1/2520 (* im im)) (* (- (* (* (- (* -1/2520 (* im im)) 1/60) im) im) 1/3) (* im im)) (* (- (* -1/2520 (* im im)) 1/60) im))

simplify151.0ms (1.7%)

Memory
-4.2MiB live, 223.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02581090
1826928
23212894
37672894
08029850
Stop Event
iter limit
node limit
Counts
76 → 76
Calls
Call 1
Inputs
(* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im)))))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))))
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))))))
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/48 (- (exp (neg im)) (/ 1 (exp (neg im))))))))))
(- (exp (neg im)) (/ 1 (exp (neg im))))
(- (+ (exp (neg im)) (* -1/2 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))) (/ 1 (exp (neg im))))
(- (+ (exp (neg im)) (* (pow re 2) (+ (* -1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/24 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))))) (/ 1 (exp (neg im))))
(- (+ (exp (neg im)) (* (pow re 2) (+ (* -1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/720 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/24 (- (exp (neg im)) (/ 1 (exp (neg im)))))))))) (/ 1 (exp (neg im))))
1
(+ 1 (* -1/2 (pow re 2)))
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))
(* 1/2 (- (exp (neg im)) (exp im)))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im)))))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im))))))))
(* -1 im)
(+ (* -1 im) (* 1/2 (* im (pow re 2))))
(+ (* -1 im) (* (pow re 2) (+ (* -1/24 (* im (pow re 2))) (* 1/2 im))))
(+ (* -1 im) (* (pow re 2) (+ (* 1/2 im) (* (pow re 2) (+ (* -1/24 im) (* 1/720 (* im (pow re 2))))))))
-1
(- (* 1/2 (pow re 2)) 1)
(- (* (pow re 2) (+ 1/2 (* -1/24 (pow re 2)))) 1)
(- (* (pow re 2) (+ 1/2 (* (pow re 2) (- (* 1/720 (pow re 2)) 1/24)))) 1)
1/2
(+ 1/2 (* -1/4 (pow re 2)))
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))
(* 1/2 (* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im))))))
(* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im)))))
(cos re)
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* -1 (* im (cos re)))
(* -1 (cos re))
(* 1/2 (cos re))
(* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re)))))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re)))))))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re)))))))))
(* -2 (* im (cos re)))
(* im (+ (* -2 (cos re)) (* -1/3 (* (pow im 2) (cos re)))))
(* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -1/3 (cos re)) (* -1/60 (* (pow im 2) (cos re)))))))
(* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -1/3 (cos re)) (* (pow im 2) (+ (* -1/60 (cos re)) (* -1/2520 (* (pow im 2) (cos re)))))))))
(* -2 im)
(* im (- (* -1/3 (pow im 2)) 2))
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
(* im (- (* -1/6 (pow im 2)) 1))
(* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) 1/6)) 1))
(* -1/3 (pow im 2))
(* -1/3 im)
(* im (- (* -1/60 (pow im 2)) 1/3))
(* -1/60 (pow im 2))
(* (pow im 2) (- (* -1/60 (pow im 2)) 1/3))
(* -1/2520 (pow im 2))
(* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3))
(* -1/60 im)
(* im (- (* -1/2520 (pow im 2)) 1/60))
(- (exp (neg im)) (exp im))
(* -1/3 (pow im 3))
(* -1 (* (pow im 3) (+ 1/3 (* 2 (/ 1 (pow im 2))))))
(* -1/60 (pow im 3))
(* -1 (* (pow im 3) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(* -1/60 (pow im 4))
(* -1 (* (pow im 4) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(* -1/2520 (pow im 6))
(* -1 (* (pow im 6) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* (pow im 6) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(* -1/2520 (pow im 3))
(* -1 (* (pow im 3) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))))
(* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))
(- (exp (* -1 im)) (/ 1 (exp (* -1 im))))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(- (exp (* -1 im)) (exp im))
(* 1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))
Outputs
(* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im)))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64))) (*.f64 re re) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/48 (- (exp (neg im)) (/ 1 (exp (neg im))))))))))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
(- (exp (neg im)) (/ 1 (exp (neg im))))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(- (+ (exp (neg im)) (* -1/2 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))) (/ 1 (exp (neg im))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(- (+ (exp (neg im)) (* (pow re 2) (+ (* -1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/24 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))))) (/ 1 (exp (neg im))))
(fma.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64))) (*.f64 re re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(- (+ (exp (neg im)) (* (pow re 2) (+ (* -1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/720 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/24 (- (exp (neg im)) (/ 1 (exp (neg im)))))))))) (/ 1 (exp (neg im))))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow re 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))
(fma.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64))) (*.f64 re re) #s(literal 1 binary64))
(* 1/2 (- (exp (neg im)) (exp im)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im)))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64))) (*.f64 re re) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im))))))))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
(* -1 im)
(neg.f64 im)
(+ (* -1 im) (* 1/2 (* im (pow re 2))))
(*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))
(+ (* -1 im) (* (pow re 2) (+ (* -1/24 (* im (pow re 2))) (* 1/2 im))))
(fma.f64 (*.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im))
(+ (* -1 im) (* (pow re 2) (+ (* 1/2 im) (* (pow re 2) (+ (* -1/24 im) (* 1/720 (* im (pow re 2))))))))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 im (fma.f64 (*.f64 #s(literal 1/720 binary64) re) re #s(literal -1/24 binary64))) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))
-1
#s(literal -1 binary64)
(- (* 1/2 (pow re 2)) 1)
(-.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(- (* (pow re 2) (+ 1/2 (* -1/24 (pow re 2)))) 1)
(fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/24 binary64) (-.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(- (* (pow re 2) (+ 1/2 (* (pow re 2) (- (* 1/720 (pow re 2)) 1/24)))) 1)
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 re re)) #s(literal 1/24 binary64)) (-.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (pow re 2)))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))
(fma.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/1440 binary64) (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64))) (*.f64 re re) #s(literal 1/2 binary64))
(* 1/2 (* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im))))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im)))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re))
(cos re)
(cos.f64 re)
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(* -1 (* im (cos re)))
(*.f64 (neg.f64 (cos.f64 re)) im)
(* -1 (cos re))
(neg.f64 (cos.f64 re))
(* 1/2 (cos re))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re)))))
(*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re)))))))
(*.f64 (fma.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64))) (*.f64 im im) (neg.f64 (cos.f64 re))) im)
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re)))))))))
(*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal -1/120 binary64))) (*.f64 (cos.f64 re) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) im)
(* -2 (* im (cos re)))
(*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) im)
(* im (+ (* -2 (cos re)) (* -1/3 (* (pow im 2) (cos re)))))
(*.f64 (*.f64 (cos.f64 re) (fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64))) im)
(* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -1/3 (cos re)) (* -1/60 (* (pow im 2) (cos re)))))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) im))
(* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -1/3 (cos re)) (* (pow im 2) (+ (* -1/60 (cos re)) (* -1/2520 (* (pow im 2) (cos re)))))))))
(*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) (*.f64 (cos.f64 re) (fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64)))) im)
(* -2 im)
(*.f64 #s(literal -2 binary64) im)
(* im (- (* -1/3 (pow im 2)) 2))
(*.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64)) im)
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)
(* im (- (* -1/6 (pow im 2)) 1))
(*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)
(* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) 1/6)) 1))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im)
(* -1/3 (pow im 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 im im))
(* -1/3 im)
(*.f64 #s(literal -1/3 binary64) im)
(* im (- (* -1/60 (pow im 2)) 1/3))
(*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im)
(* -1/60 (pow im 2))
(*.f64 #s(literal -1/60 binary64) (*.f64 im im))
(* (pow im 2) (- (* -1/60 (pow im 2)) 1/3))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im)
(* -1/2520 (pow im 2))
(*.f64 #s(literal -1/2520 binary64) (*.f64 im im))
(* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3))
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im))
(* -1/60 im)
(*.f64 #s(literal -1/60 binary64) im)
(* im (- (* -1/2520 (pow im 2)) 1/60))
(*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im)
(- (exp (neg im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* -1/3 (pow im 3))
(*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/3 binary64))
(* -1 (* (pow im 3) (+ 1/3 (* 2 (/ 1 (pow im 2))))))
(*.f64 (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 im im)) #s(literal -1/3 binary64)) (pow.f64 im #s(literal 3 binary64)))
(* -1/60 (pow im 3))
(*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/60 binary64))
(* -1 (* (pow im 3) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(*.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal -1/60 binary64)) (pow.f64 im #s(literal 3 binary64)))
(* -1/60 (pow im 4))
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/60 binary64))
(* -1 (* (pow im 4) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(*.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal -1/60 binary64)) (pow.f64 im #s(literal 4 binary64)))
(* -1/2520 (pow im 6))
(*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/2520 binary64))
(* -1 (* (pow im 6) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(*.f64 (+.f64 (/.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal -1/2520 binary64)) (pow.f64 im #s(literal 6 binary64)))
(* (pow im 6) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(*.f64 (+.f64 (/.f64 #s(literal -1/60 binary64) (*.f64 im im)) (-.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/2520 binary64))) (pow.f64 im #s(literal 6 binary64)))
(* -1/2520 (pow im 3))
(*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/2520 binary64))
(* -1 (* (pow im 3) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(*.f64 (+.f64 (/.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal -1/2520 binary64)) (pow.f64 im #s(literal 3 binary64)))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re))
(- (exp (* -1 im)) (/ 1 (exp (* -1 im))))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* 1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))

rewrite327.0ms (3.6%)

Memory
0.8MiB live, 304.5MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
051283
081276
1254261
21544261
08292261
Stop Event
iter limit
node limit
iter limit
Counts
24 → 315
Calls
Call 1
Inputs
(*.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64))
(*.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))))
(cos.f64 re)
(*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
(*.f64 (neg.f64 (cos.f64 re)) im)
(neg.f64 (cos.f64 re))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))
(neg.f64 im)
(sinh.f64 (neg.f64 im))
(*.f64 (*.f64 im im) #s(literal -1/3 binary64))
(*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)
(*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im)
(*.f64 #s(literal -1/60 binary64) (*.f64 im im))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im)
(*.f64 #s(literal -1/2520 binary64) (*.f64 im im))
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im))
(*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im)
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cos.f64 re))) (sinh.f64 (neg.f64 im)))
(*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)) (*.f64 (sinh.f64 (neg.f64 im)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)) (sinh.f64 (neg.f64 im))))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)) (sinh.f64 (neg.f64 im))) #s(literal 1/2 binary64))
(*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re))
(*.f64 (cos.f64 re) (sinh.f64 (neg.f64 im)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))) (neg.f64 (fma.f64 (exp.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (exp.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (fma.f64 (exp.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64)))) (fma.f64 (exp.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))
(*.f64 (*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re)) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)) (sinh.f64 (neg.f64 im)))
(*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))) (cos.f64 re))
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(/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/27 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 8 binary64)) im) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (*.f64 im im) #s(literal -2/3 binary64) #s(literal 4 binary64))))
(/.f64 (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64)) #s(literal 4 binary64))) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal 2 binary64)))
(/.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/27 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 8 binary64))) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (*.f64 im im) #s(literal -2/3 binary64) #s(literal 4 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im)
(*.f64 im (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64)) #s(literal 1/9 binary64)) im)) (neg.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/216000 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/27 binary64)) im)) (neg.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64) (fma.f64 (*.f64 im im) #s(literal -1/180 binary64) #s(literal 1/9 binary64)))))
(/.f64 (neg.f64 (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64)) #s(literal 1/9 binary64)))) (neg.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/216000 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/27 binary64)))) (neg.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64) (fma.f64 (*.f64 im im) #s(literal -1/180 binary64) #s(literal 1/9 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64)) #s(literal 1/9 binary64)) im) (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal 1/3 binary64)))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/216000 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/27 binary64)) im) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64) (fma.f64 (*.f64 im im) #s(literal -1/180 binary64) #s(literal 1/9 binary64))))
(/.f64 (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64)) #s(literal 1/9 binary64))) (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal 1/3 binary64)))
(/.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/216000 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/27 binary64))) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64) (fma.f64 (*.f64 im im) #s(literal -1/180 binary64) #s(literal 1/9 binary64))))
(*.f64 (*.f64 #s(literal -1/60 binary64) (neg.f64 im)) (neg.f64 im))
(*.f64 (*.f64 #s(literal -1/60 binary64) im) im)
(*.f64 #s(literal -1/60 binary64) (*.f64 im im))
(*.f64 (*.f64 im im) #s(literal -1/60 binary64))
(*.f64 (neg.f64 im) (*.f64 (neg.f64 im) #s(literal -1/60 binary64)))
(*.f64 im (*.f64 #s(literal -1/60 binary64) im))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) (neg.f64 im)) (neg.f64 im))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im)
(*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) (*.f64 im im))
(*.f64 (*.f64 im im) (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)))
(*.f64 im (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64)) #s(literal 1/9 binary64)) (*.f64 im im))) (neg.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/216000 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/27 binary64)) (*.f64 im im))) (neg.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64) (fma.f64 (*.f64 im im) #s(literal -1/180 binary64) #s(literal 1/9 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64)) #s(literal 1/9 binary64)) (*.f64 im im)) (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal 1/3 binary64)))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/216000 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/27 binary64)) (*.f64 im im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64) (fma.f64 (*.f64 im im) #s(literal -1/180 binary64) #s(literal 1/9 binary64))))
(*.f64 (*.f64 #s(literal -1/2520 binary64) (neg.f64 im)) (neg.f64 im))
(*.f64 (*.f64 #s(literal -1/2520 binary64) im) im)
(*.f64 #s(literal -1/2520 binary64) (*.f64 im im))
(*.f64 (*.f64 im im) #s(literal -1/2520 binary64))
(*.f64 (neg.f64 im) (*.f64 (neg.f64 im) #s(literal -1/2520 binary64)))
(*.f64 im (*.f64 #s(literal -1/2520 binary64) im))
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (neg.f64 im)) (neg.f64 im))
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) im) im)
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im))
(*.f64 (*.f64 im im) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)))
(*.f64 (neg.f64 im) (*.f64 (neg.f64 im) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64))))
(*.f64 im (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) im))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (*.f64 im im))) (neg.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 3 binary64)) #s(literal 1/27 binary64)) (*.f64 im im))) (neg.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64) #s(literal 1/9 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 im im) (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 2 binary64)) #s(literal 1/9 binary64)))) (neg.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 im im) (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (neg.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64) #s(literal 1/9 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (*.f64 im im)) (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im #s(literal 1/3 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 3 binary64)) #s(literal 1/27 binary64)) (*.f64 im im)) (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64) #s(literal 1/9 binary64))))
(/.f64 (*.f64 (*.f64 im im) (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 2 binary64)) #s(literal 1/9 binary64))) (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im #s(literal 1/3 binary64)))
(/.f64 (*.f64 (*.f64 im im) (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 3 binary64)) #s(literal 1/27 binary64))) (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64) #s(literal 1/9 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im)
(*.f64 im (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/3600 binary64)) im)) (neg.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal 1/60 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/16003008000 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/216000 binary64)) im)) (neg.f64 (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/151200 binary64) #s(literal 1/3600 binary64)))))
(/.f64 (neg.f64 (*.f64 im (-.f64 (*.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/3600 binary64)))) (neg.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal 1/60 binary64))))
(/.f64 (neg.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/16003008000 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/216000 binary64)))) (neg.f64 (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/151200 binary64) #s(literal 1/3600 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/3600 binary64)) im) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal 1/60 binary64)))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/16003008000 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/216000 binary64)) im) (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/151200 binary64) #s(literal 1/3600 binary64))))
(/.f64 (*.f64 im (-.f64 (*.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/3600 binary64))) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal 1/60 binary64)))
(/.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/16003008000 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/216000 binary64))) (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/151200 binary64) #s(literal 1/3600 binary64))))

eval68.0ms (0.8%)

Memory
16.8MiB live, 145.3MiB allocated
Compiler

Compiled 14 601 to 2 057 computations (85.9% saved)

prune25.0ms (0.3%)

Memory
-0.6MiB live, 56.4MiB allocated
Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New46615481
Fresh112
Picked415
Done000
Total47117488
Accuracy
100.0%
Counts
488 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
13.6%
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re)) (*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re)) (-.f64 (*.f64 (*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re)) (*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re))) (*.f64 (*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re)) (*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re)))))) #s(literal 1/2 binary64))
71.5%
(*.f64 (*.f64 #s(approx (cos re) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64))
48.3%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))))
65.7%
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
63.8%
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
60.4%
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
59.7%
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
66.1%
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
63.8%
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
57.5%
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
83.7%
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
50.6%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 re) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 re) #s(literal -1 binary64)) (*.f64 (cos.f64 re) #s(literal -1 binary64)) (fma.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (*.f64 (cos.f64 re) #s(literal -1 binary64)) (*.f64 (sin.f64 re) #s(literal 0 binary64)))))) im))
50.6%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
42.6%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im))
42.7%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im))))
40.8%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))
33.0%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
Compiler

Compiled 1 094 to 723 computations (33.9% saved)

simplify147.0ms (1.6%)

Memory
5.4MiB live, 192.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 re)
cost-diff0
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
cost-diff4
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))))
cost-diff24
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
cost-diff0
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)
cost-diff0
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))
cost-diff0
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
cost-diff0
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
cost-diff0
#s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
cost-diff0
(neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
cost-diff0
(*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im)
cost-diff0
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im))
cost-diff0
(neg.f64 im)
cost-diff0
#s(approx (* (neg (cos re)) im) (neg.f64 im))
cost-diff0
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
cost-diff0
(cos.f64 re)
cost-diff0
(*.f64 (cos.f64 re) im)
cost-diff0
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
cost-diff1
(*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
066502
0105474
1203472
2558466
32141428
09236428
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))
(*.f64 (cos.f64 re) im)
(cos.f64 re)
re
im
(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))
(*.f64 im im)
#s(literal -1/6 binary64)
#s(literal -1 binary64)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (neg (cos re)) im) (neg.f64 im))
(neg.f64 im)
im
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im))
(*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im)
(neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/24 binary64) (*.f64 re re))
#s(literal 1/24 binary64)
(*.f64 re re)
re
#s(literal 1/2 binary64)
#s(literal 1 binary64)
im
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)
(-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64))
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im))
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im)
(*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im)
(-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64))
(*.f64 #s(literal -1/2520 binary64) (*.f64 im im))
#s(literal -1/2520 binary64)
(*.f64 im im)
im
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(cos.f64 re)
re
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))
(*.f64 #s(literal 2 binary64) (cosh.f64 im))
#s(literal 2 binary64)
(cosh.f64 im)
im
(exp.f64 im)
(pow.f64 (exp.f64 im) #s(literal -2 binary64))
#s(literal -2 binary64)
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))
(*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))
(sinh.f64 (neg.f64 im))
(neg.f64 im)
Outputs
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (neg.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im)) (cos.f64 re)))
(*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))
(*.f64 (neg.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im)) (cos.f64 re))
(*.f64 (cos.f64 re) im)
(cos.f64 re)
re
im
(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal -1 binary64))
(*.f64 im im)
#s(literal -1/6 binary64)
#s(literal -1 binary64)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (neg (cos re)) im) (neg.f64 im))
(neg.f64 im)
im
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 re re) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) (neg.f64 im)))
(*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im)
(*.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 re re) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) (neg.f64 im))
(neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
(neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 re re) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
#s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 re re) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))
(fma.f64 (-.f64 (*.f64 (*.f64 re re) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64))
(-.f64 (*.f64 (*.f64 re re) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/24 binary64) (*.f64 re re))
(*.f64 (*.f64 re re) #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
(*.f64 re re)
re
#s(literal 1/2 binary64)
#s(literal 1 binary64)
im
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)
(-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64))
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64))
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im))
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) im) im)
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im)
(*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im)
(-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64))
(*.f64 #s(literal -1/2520 binary64) (*.f64 im im))
#s(literal -1/2520 binary64)
(*.f64 im im)
im
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))))
(*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(cos.f64 re)
re
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
(*.f64 (sinh.f64 (neg.f64 im)) #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))
(fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))
(*.f64 #s(literal 2 binary64) (cosh.f64 im))
(*.f64 (cosh.f64 im) #s(literal 2 binary64))
#s(literal 2 binary64)
(cosh.f64 im)
im
(exp.f64 im)
(pow.f64 (exp.f64 im) #s(literal -2 binary64))
#s(literal -2 binary64)
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))
(/.f64 (*.f64 (sinh.f64 (neg.f64 im)) #s(literal 2 binary64)) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))
(*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))
(*.f64 (sinh.f64 (neg.f64 im)) #s(literal 2 binary64))
(sinh.f64 (neg.f64 im))
(neg.f64 im)

localize289.0ms (3.2%)

Memory
-14.8MiB live, 563.1MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.014003759768442016
(pow.f64 (exp.f64 im) #s(literal -2 binary64))
accuracy0.03515625
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))))
accuracy0.7421833719124419
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))
accuracy0.8437438074906174
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
accuracy0.046875
(*.f64 #s(literal -1/2520 binary64) (*.f64 im im))
accuracy0.07421875
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im))
accuracy0.8695933443068138
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))
accuracy11.3400779064489
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
accuracy0.03515625
(*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im)
accuracy0.0859375
(*.f64 #s(literal 1/24 binary64) (*.f64 re re))
accuracy1.0569775435491737
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im))
accuracy12.016128016441305
#s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
accuracy0.0
(neg.f64 im)
accuracy1.0569775435491737
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
accuracy11.139755326427917
#s(approx (* (neg (cos re)) im) (neg.f64 im))
accuracy0.0
(cos.f64 re)
accuracy0.0078125
(*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))
accuracy0.03515625
(*.f64 (cos.f64 re) im)
accuracy0.9098046788699667
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
Samples
102.0ms66×1valid
80.0ms54×2valid
63.0ms129×0exit
3.0ms0valid
Compiler

Compiled 383 to 55 computations (85.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 208.0ms
ival-exp: 50.0ms (24% of total)
ival-mult: 44.0ms (21.1% of total)
const: 41.0ms (19.7% of total)
adjust: 29.0ms (13.9% of total)
ival-sub: 10.0ms (4.8% of total)
ival-pow: 9.0ms (4.3% of total)
ival-add: 8.0ms (3.8% of total)
ival-cos: 6.0ms (2.9% of total)
ival-cosh: 4.0ms (1.9% of total)
ival-div: 3.0ms (1.4% of total)
ival-neg: 2.0ms (1% of total)
exact: 1.0ms (0.5% of total)
ival-sinh: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series34.0ms (0.4%)

Memory
12.8MiB live, 105.2MiB allocated
Counts
23 → 80
Calls
Call 1
Inputs
(*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(*.f64 (cos.f64 re) im)
(cos.f64 re)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (neg (cos re)) im) (neg.f64 im))
(neg.f64 im)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im))
(*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im)
(neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/24 binary64) (*.f64 re re))
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im))
(*.f64 #s(literal -1/2520 binary64) (*.f64 im im))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))
(pow.f64 (exp.f64 im) #s(literal -2 binary64))
Outputs
(* im (- (* -1/6 (pow im 2)) 1))
(+ (* -1/2 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))) (* im (- (* -1/6 (pow im 2)) 1)))
(+ (* im (- (* -1/6 (pow im 2)) 1)) (* (pow re 2) (+ (* -1/2 (* im (- (* -1/6 (pow im 2)) 1))) (* 1/24 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))))))
(+ (* im (- (* -1/6 (pow im 2)) 1)) (* (pow re 2) (+ (* -1/2 (* im (- (* -1/6 (pow im 2)) 1))) (* (pow re 2) (+ (* -1/720 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))) (* 1/24 (* im (- (* -1/6 (pow im 2)) 1))))))))
(* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im)))))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))))
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))))))
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/48 (- (exp (neg im)) (/ 1 (exp (neg im))))))))))
im
(+ im (* -1/2 (* im (pow re 2))))
(+ im (* (pow re 2) (+ (* -1/2 im) (* 1/24 (* im (pow re 2))))))
(+ im (* (pow re 2) (+ (* -1/2 im) (* (pow re 2) (+ (* -1/720 (* im (pow re 2))) (* 1/24 im))))))
1
(+ 1 (* -1/2 (pow re 2)))
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))
(* 1/2 (- (exp (neg im)) (exp im)))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im)))))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im))))))))
(* -1 im)
(+ (* -1 im) (* 1/2 (* im (pow re 2))))
(+ (* -1 im) (* (pow re 2) (+ (* -1/24 (* im (pow re 2))) (* 1/2 im))))
(+ (* -1 im) (* (pow re 2) (+ (* 1/2 im) (* (pow re 2) (+ (* -1/24 im) (* 1/720 (* im (pow re 2))))))))
-1
(- (* 1/2 (pow re 2)) 1)
(- (* (pow re 2) (+ 1/2 (* -1/24 (pow re 2)))) 1)
(- (* (pow re 2) (+ 1/2 (* (pow re 2) (- (* 1/720 (pow re 2)) 1/24)))) 1)
1/2
(+ 1/2 (* -1/4 (pow re 2)))
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))
(* 1/24 (pow re 2))
(* im (* (cos re) (- (* -1/6 (pow im 2)) 1)))
(* 1/2 (* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im))))))
(* im (cos re))
(cos re)
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* -1 (* im (cos re)))
(* -1 (cos re))
(* 1/2 (cos re))
(* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re)))))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re)))))))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re)))))))))
(* -2 im)
(* im (- (* -1/3 (pow im 2)) 2))
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
(* -1/3 (pow im 2))
(* (pow im 2) (- (* -1/60 (pow im 2)) 1/3))
(* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3))
(* -1/2520 (pow im 2))
(* -2/3 im)
(* im (- (* 7/9 (pow im 2)) 2/3))
(* im (- (* (pow im 2) (+ 7/9 (* -403/540 (pow im 2)))) 2/3))
(* im (- (* (pow im 2) (+ 7/9 (* (pow im 2) (- (* 5207/7560 (pow im 2)) 403/540)))) 2/3))
(+ 1 (* -2 im))
(+ 1 (* im (- (* 2 im) 2)))
(+ 1 (* im (- (* im (+ 2 (* -4/3 im))) 2)))
(* -1/6 (* (pow im 3) (cos re)))
(* (pow im 3) (+ (* -1 (/ (cos re) (pow im 2))) (* -1/6 (cos re))))
(- (exp (neg im)) (exp im))
(* -1/2520 (pow im 7))
(* -1 (* (pow im 7) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* (pow im 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(* (pow im 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow im 2)))) (pow im 4))) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(- (exp (neg im)) (/ 1 (exp (neg im))))
(* -1/2520 (pow im 6))
(* -1 (* (pow im 6) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* (pow im 6) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(/ (- (exp (neg im)) (/ 1 (exp (neg im)))) (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2))))
(/ 1 (pow (exp im) 2))
(* -1 (* (pow im 3) (+ (* 1/6 (cos re)) (/ (cos re) (pow im 2)))))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(- (exp (* -1 im)) (exp im))
(* -1 (* (pow im 7) (+ 1/2520 (+ (/ 1/3 (pow im 4)) (* 1/60 (/ 1 (pow im 2)))))))
(* -1 (* (pow im 7) (+ 1/2520 (+ (/ 1/3 (pow im 4)) (+ (* 1/60 (/ 1 (pow im 2))) (* 2 (/ 1 (pow im 6))))))))
(- (exp (* -1 im)) (/ 1 (exp (* -1 im))))
(/ (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))) (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2))))
Calls

6 calls:

TimeVariablePointExpression
13.0ms
im
@-inf
((* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) im) (cos re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (cos re)) (cos re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (- (* (- (* (* (- (* -1/2520 (* im im)) 1/60) im) im) 1/3) (* im im)) 2) im) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)))) (* (* 1/2 (cos re)) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))))) (* 1/2 (cos re)) (* 1/24 (* re re)) (* (- (* (* (- (* -1/2520 (* im im)) 1/60) im) im) 1/3) (* im im)) (* -1/2520 (* im im)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (pow (exp im) -2))
7.0ms
im
@inf
((* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) im) (cos re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (cos re)) (cos re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (- (* (- (* (* (- (* -1/2520 (* im im)) 1/60) im) im) 1/3) (* im im)) 2) im) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)))) (* (* 1/2 (cos re)) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))))) (* 1/2 (cos re)) (* 1/24 (* re re)) (* (- (* (* (- (* -1/2520 (* im im)) 1/60) im) im) 1/3) (* im im)) (* -1/2520 (* im im)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (pow (exp im) -2))
5.0ms
im
@0
((* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) im) (cos re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (cos re)) (cos re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (- (* (- (* (* (- (* -1/2520 (* im im)) 1/60) im) im) 1/3) (* im im)) 2) im) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)))) (* (* 1/2 (cos re)) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))))) (* 1/2 (cos re)) (* 1/24 (* re re)) (* (- (* (* (- (* -1/2520 (* im im)) 1/60) im) im) 1/3) (* im im)) (* -1/2520 (* im im)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (pow (exp im) -2))
3.0ms
re
@inf
((* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) im) (cos re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (cos re)) (cos re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (- (* (- (* (* (- (* -1/2520 (* im im)) 1/60) im) im) 1/3) (* im im)) 2) im) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)))) (* (* 1/2 (cos re)) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))))) (* 1/2 (cos re)) (* 1/24 (* re re)) (* (- (* (* (- (* -1/2520 (* im im)) 1/60) im) im) 1/3) (* im im)) (* -1/2520 (* im im)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (pow (exp im) -2))
3.0ms
re
@-inf
((* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) im) (cos re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (cos re)) (cos re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (- (* (- (* (* (- (* -1/2520 (* im im)) 1/60) im) im) 1/3) (* im im)) 2) im) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)))) (* (* 1/2 (cos re)) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))))) (* 1/2 (cos re)) (* 1/24 (* re re)) (* (- (* (* (- (* -1/2520 (* im im)) 1/60) im) im) 1/3) (* im im)) (* -1/2520 (* im im)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (pow (exp im) -2))

simplify183.0ms (2%)

Memory
6.7MiB live, 343.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02981199
19411076
235151003
08334952
Stop Event
iter limit
node limit
Counts
80 → 79
Calls
Call 1
Inputs
(* im (- (* -1/6 (pow im 2)) 1))
(+ (* -1/2 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))) (* im (- (* -1/6 (pow im 2)) 1)))
(+ (* im (- (* -1/6 (pow im 2)) 1)) (* (pow re 2) (+ (* -1/2 (* im (- (* -1/6 (pow im 2)) 1))) (* 1/24 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))))))
(+ (* im (- (* -1/6 (pow im 2)) 1)) (* (pow re 2) (+ (* -1/2 (* im (- (* -1/6 (pow im 2)) 1))) (* (pow re 2) (+ (* -1/720 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))) (* 1/24 (* im (- (* -1/6 (pow im 2)) 1))))))))
(* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im)))))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))))
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))))))
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/48 (- (exp (neg im)) (/ 1 (exp (neg im))))))))))
im
(+ im (* -1/2 (* im (pow re 2))))
(+ im (* (pow re 2) (+ (* -1/2 im) (* 1/24 (* im (pow re 2))))))
(+ im (* (pow re 2) (+ (* -1/2 im) (* (pow re 2) (+ (* -1/720 (* im (pow re 2))) (* 1/24 im))))))
1
(+ 1 (* -1/2 (pow re 2)))
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))
(* 1/2 (- (exp (neg im)) (exp im)))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im)))))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im))))))))
(* -1 im)
(+ (* -1 im) (* 1/2 (* im (pow re 2))))
(+ (* -1 im) (* (pow re 2) (+ (* -1/24 (* im (pow re 2))) (* 1/2 im))))
(+ (* -1 im) (* (pow re 2) (+ (* 1/2 im) (* (pow re 2) (+ (* -1/24 im) (* 1/720 (* im (pow re 2))))))))
-1
(- (* 1/2 (pow re 2)) 1)
(- (* (pow re 2) (+ 1/2 (* -1/24 (pow re 2)))) 1)
(- (* (pow re 2) (+ 1/2 (* (pow re 2) (- (* 1/720 (pow re 2)) 1/24)))) 1)
1/2
(+ 1/2 (* -1/4 (pow re 2)))
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))
(* 1/24 (pow re 2))
(* im (* (cos re) (- (* -1/6 (pow im 2)) 1)))
(* 1/2 (* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im))))))
(* im (cos re))
(cos re)
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* -1 (* im (cos re)))
(* -1 (cos re))
(* 1/2 (cos re))
(* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re)))))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re)))))))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re)))))))))
(* -2 im)
(* im (- (* -1/3 (pow im 2)) 2))
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
(* -1/3 (pow im 2))
(* (pow im 2) (- (* -1/60 (pow im 2)) 1/3))
(* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3))
(* -1/2520 (pow im 2))
(* -2/3 im)
(* im (- (* 7/9 (pow im 2)) 2/3))
(* im (- (* (pow im 2) (+ 7/9 (* -403/540 (pow im 2)))) 2/3))
(* im (- (* (pow im 2) (+ 7/9 (* (pow im 2) (- (* 5207/7560 (pow im 2)) 403/540)))) 2/3))
(+ 1 (* -2 im))
(+ 1 (* im (- (* 2 im) 2)))
(+ 1 (* im (- (* im (+ 2 (* -4/3 im))) 2)))
(* -1/6 (* (pow im 3) (cos re)))
(* (pow im 3) (+ (* -1 (/ (cos re) (pow im 2))) (* -1/6 (cos re))))
(- (exp (neg im)) (exp im))
(* -1/2520 (pow im 7))
(* -1 (* (pow im 7) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* (pow im 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(* (pow im 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow im 2)))) (pow im 4))) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(- (exp (neg im)) (/ 1 (exp (neg im))))
(* -1/2520 (pow im 6))
(* -1 (* (pow im 6) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* (pow im 6) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(/ (- (exp (neg im)) (/ 1 (exp (neg im)))) (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2))))
(/ 1 (pow (exp im) 2))
(* -1 (* (pow im 3) (+ (* 1/6 (cos re)) (/ (cos re) (pow im 2)))))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(- (exp (* -1 im)) (exp im))
(* -1 (* (pow im 7) (+ 1/2520 (+ (/ 1/3 (pow im 4)) (* 1/60 (/ 1 (pow im 2)))))))
(* -1 (* (pow im 7) (+ 1/2520 (+ (/ 1/3 (pow im 4)) (+ (* 1/60 (/ 1 (pow im 2))) (* 2 (/ 1 (pow im 6))))))))
(- (exp (* -1 im)) (/ 1 (exp (* -1 im))))
(/ (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))) (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2))))
Outputs
(* im (- (* -1/6 (pow im 2)) 1))
(*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)
(+ (* -1/2 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))) (* im (- (* -1/6 (pow im 2)) 1)))
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im))
(+ (* im (- (* -1/6 (pow im 2)) 1)) (* (pow re 2) (+ (* -1/2 (* im (- (* -1/6 (pow im 2)) 1))) (* 1/24 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))))))
(fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im) (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64))) (*.f64 re re) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im))
(+ (* im (- (* -1/6 (pow im 2)) 1)) (* (pow re 2) (+ (* -1/2 (* im (- (* -1/6 (pow im 2)) 1))) (* (pow re 2) (+ (* -1/720 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))) (* 1/24 (* im (- (* -1/6 (pow im 2)) 1))))))))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 im (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)))) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) 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))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64))) (*.f64 re re) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/48 (- (exp (neg im)) (/ 1 (exp (neg im))))))))))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64))))
im
(+ im (* -1/2 (* im (pow re 2))))
(fma.f64 (*.f64 (*.f64 re re) im) #s(literal -1/2 binary64) im)
(+ im (* (pow re 2) (+ (* -1/2 im) (* 1/24 (* im (pow re 2))))))
(fma.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64))) (*.f64 re re) im)
(+ im (* (pow re 2) (+ (* -1/2 im) (* (pow re 2) (+ (* -1/720 (* im (pow re 2))) (* 1/24 im))))))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 im (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64))) (fma.f64 (*.f64 (*.f64 re re) im) #s(literal -1/2 binary64) im))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow re 2)))
(fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))
(fma.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64))) (*.f64 re re) #s(literal 1 binary64))
(* 1/2 (- (exp (neg im)) (exp im)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im)))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64))) (*.f64 re re) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im))))))))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64))))
(* -1 im)
(neg.f64 im)
(+ (* -1 im) (* 1/2 (* im (pow re 2))))
(*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))
(+ (* -1 im) (* (pow re 2) (+ (* -1/24 (* im (pow re 2))) (* 1/2 im))))
(fma.f64 (*.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im))
(+ (* -1 im) (* (pow re 2) (+ (* 1/2 im) (* (pow re 2) (+ (* -1/24 im) (* 1/720 (* im (pow re 2))))))))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 im (fma.f64 (*.f64 #s(literal 1/720 binary64) re) re #s(literal -1/24 binary64))) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))
-1
#s(literal -1 binary64)
(- (* 1/2 (pow re 2)) 1)
(-.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(- (* (pow re 2) (+ 1/2 (* -1/24 (pow re 2)))) 1)
(fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/24 binary64) (-.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(- (* (pow re 2) (+ 1/2 (* (pow re 2) (- (* 1/720 (pow re 2)) 1/24)))) 1)
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 re re)) #s(literal 1/24 binary64)) (-.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (pow re 2)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64))
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))
(fma.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/1440 binary64) (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64))) (*.f64 re re) #s(literal 1/2 binary64))
(* 1/24 (pow re 2))
(*.f64 #s(literal 1/24 binary64) (*.f64 re re))
(* im (* (cos re) (- (* -1/6 (pow im 2)) 1)))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im)))
(* 1/2 (* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im))))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(* im (cos re))
(*.f64 (cos.f64 re) im)
(cos re)
(cos.f64 re)
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(* -1 (* im (cos re)))
(*.f64 (neg.f64 (cos.f64 re)) im)
(* -1 (cos re))
(neg.f64 (cos.f64 re))
(* 1/2 (cos re))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re)))))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im)))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re)))))))
(*.f64 (fma.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64))) (*.f64 im im) (neg.f64 (cos.f64 re))) im)
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re)))))))))
(*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal -1/120 binary64))) (*.f64 (cos.f64 re) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) im)
(* -2 im)
(*.f64 #s(literal -2 binary64) im)
(* im (- (* -1/3 (pow im 2)) 2))
(*.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64)) im)
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)
(* -1/3 (pow im 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 im im))
(* (pow im 2) (- (* -1/60 (pow im 2)) 1/3))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im)
(* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3))
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im))
(* -1/2520 (pow im 2))
(*.f64 #s(literal -1/2520 binary64) (*.f64 im im))
(* -2/3 im)
(*.f64 #s(literal -2/3 binary64) im)
(* im (- (* 7/9 (pow im 2)) 2/3))
(*.f64 (-.f64 (*.f64 #s(literal 7/9 binary64) (*.f64 im im)) #s(literal 2/3 binary64)) im)
(* im (- (* (pow im 2) (+ 7/9 (* -403/540 (pow im 2)))) 2/3))
(*.f64 (fma.f64 (*.f64 #s(literal 7/9 binary64) im) im (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -403/540 binary64)) #s(literal 2/3 binary64))) im)
(* im (- (* (pow im 2) (+ 7/9 (* (pow im 2) (- (* 5207/7560 (pow im 2)) 403/540)))) 2/3))
(*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 5207/7560 binary64) (*.f64 im im)) #s(literal 403/540 binary64)) (-.f64 (*.f64 #s(literal 7/9 binary64) (*.f64 im im)) #s(literal 2/3 binary64))) im)
(+ 1 (* -2 im))
(fma.f64 #s(literal -2 binary64) im #s(literal 1 binary64))
(+ 1 (* im (- (* 2 im) 2)))
(fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 2 binary64)) im #s(literal 1 binary64))
(+ 1 (* im (- (* im (+ 2 (* -4/3 im))) 2)))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) im #s(literal 2 binary64)) im) #s(literal 2 binary64)) im #s(literal 1 binary64))
(* -1/6 (* (pow im 3) (cos re)))
(*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) (cos.f64 re))
(* (pow im 3) (+ (* -1 (/ (cos re) (pow im 2))) (* -1/6 (cos re))))
(*.f64 (*.f64 (cos.f64 re) (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) im) im) #s(literal 1/6 binary64))) (pow.f64 im #s(literal 3 binary64)))
(- (exp (neg im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* -1/2520 (pow im 7))
(*.f64 (pow.f64 im #s(literal 7 binary64)) #s(literal -1/2520 binary64))
(* -1 (* (pow im 7) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(*.f64 (+.f64 (/.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal -1/2520 binary64)) (pow.f64 im #s(literal 7 binary64)))
(* (pow im 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(*.f64 (+.f64 (/.f64 #s(literal -1/60 binary64) (*.f64 im im)) (-.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/2520 binary64))) (pow.f64 im #s(literal 7 binary64)))
(* (pow im 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow im 2)))) (pow im 4))) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 im im)) #s(literal -1/3 binary64)) (pow.f64 im #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 im im)) #s(literal 1/2520 binary64))) (pow.f64 im #s(literal 7 binary64)))
(- (exp (neg im)) (/ 1 (exp (neg im))))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* -1/2520 (pow im 6))
(*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/2520 binary64))
(* -1 (* (pow im 6) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(*.f64 (+.f64 (/.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal -1/2520 binary64)) (pow.f64 im #s(literal 6 binary64)))
(* (pow im 6) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(*.f64 (pow.f64 im #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal -1/60 binary64) (*.f64 im im)) (-.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/2520 binary64))))
(/ (- (exp (neg im)) (/ 1 (exp (neg im)))) (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2))))
(/.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (+.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) (exp.f64 (*.f64 #s(literal -2 binary64) im))))
(/ 1 (pow (exp im) 2))
(exp.f64 (*.f64 #s(literal -2 binary64) im))
(* -1 (* (pow im 3) (+ (* 1/6 (cos re)) (/ (cos re) (pow im 2)))))
(*.f64 (*.f64 (cos.f64 re) (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) im) im) #s(literal 1/6 binary64))) (pow.f64 im #s(literal 3 binary64)))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* -1 (* (pow im 7) (+ 1/2520 (+ (/ 1/3 (pow im 4)) (* 1/60 (/ 1 (pow im 2)))))))
(*.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal -1/2520 binary64))) (pow.f64 im #s(literal 7 binary64)))
(* -1 (* (pow im 7) (+ 1/2520 (+ (/ 1/3 (pow im 4)) (+ (* 1/60 (/ 1 (pow im 2))) (* 2 (/ 1 (pow im 6))))))))
(*.f64 (neg.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (*.f64 im im))) (/.f64 #s(literal -2 binary64) (pow.f64 im #s(literal 6 binary64))))) (pow.f64 im #s(literal 7 binary64)))
(- (exp (* -1 im)) (/ 1 (exp (* -1 im))))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(/ (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))) (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2))))
(/.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (+.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) (exp.f64 (*.f64 #s(literal -2 binary64) im))))

rewrite174.0ms (1.9%)

Memory
-3.6MiB live, 327.7MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
066357
0105353
1337285
22201285
08930285
Stop Event
iter limit
node limit
iter limit
Counts
23 → 372
Calls
Call 1
Inputs
(*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(*.f64 (cos.f64 re) im)
(cos.f64 re)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (neg (cos re)) im) (neg.f64 im))
(neg.f64 im)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im))
(*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im)
(neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/24 binary64) (*.f64 re re))
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im))
(*.f64 #s(literal -1/2520 binary64) (*.f64 im im))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))
(pow.f64 (exp.f64 im) #s(literal -2 binary64))
Outputs
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal -1 binary64)) (cos.f64 re)) im)
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal -1 binary64)) im) (cos.f64 re))
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal -1 binary64)) (*.f64 im (cos.f64 re)))
(*.f64 (*.f64 im (cos.f64 re)) (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal -1 binary64)))
(*.f64 im (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal -1 binary64))))
(*.f64 (cos.f64 re) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal -1 binary64)) im))
(/.f64 (fma.f64 (pow.f64 (*.f64 im (cos.f64 re)) #s(literal 3 binary64)) #s(literal -1 binary64) (*.f64 (pow.f64 (*.f64 (*.f64 im (cos.f64 re)) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)))) (+.f64 (pow.f64 (*.f64 (neg.f64 im) (cos.f64 re)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 im (cos.f64 re)) #s(literal -1/6 binary64)) (*.f64 im im)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 im) (cos.f64 re)) (*.f64 (*.f64 (*.f64 im (cos.f64 re)) #s(literal -1/6 binary64)) (*.f64 im im))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 im (cos.f64 re)))) (neg.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1 binary64)) (*.f64 im (cos.f64 re)))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 im im))))))
(/.f64 (neg.f64 (*.f64 (*.f64 im (cos.f64 re)) (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 im (cos.f64 re)) (fma.f64 #s(literal -1/216 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 im im))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 im (cos.f64 re)) #s(literal -1/6 binary64)) (*.f64 im im)) #s(literal 2 binary64)) (pow.f64 (*.f64 (neg.f64 im) (cos.f64 re)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 im (cos.f64 re)) #s(literal -1/6 binary64)) (*.f64 im im)) (*.f64 (neg.f64 im) (cos.f64 re)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 im (cos.f64 re)) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) (pow.f64 (*.f64 (neg.f64 im) (cos.f64 re)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 im (cos.f64 re)) #s(literal -1/6 binary64)) (*.f64 im im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (neg.f64 im) (cos.f64 re)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 im (cos.f64 re)) #s(literal -1/6 binary64)) (*.f64 im im)) (*.f64 (neg.f64 im) (cos.f64 re)))))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 im (cos.f64 re))) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1 binary64)) (*.f64 im (cos.f64 re))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 im im)))))
(/.f64 (*.f64 (*.f64 im (cos.f64 re)) (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 im (cos.f64 re)) (fma.f64 #s(literal -1/216 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 im im)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 im (cos.f64 re)) #s(literal -1/6 binary64)) (*.f64 im im)) #s(literal 2 binary64)) (pow.f64 (*.f64 (neg.f64 im) (cos.f64 re)) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 im (cos.f64 re)) #s(literal -1/6 binary64)) (*.f64 im im)) (*.f64 (neg.f64 im) (cos.f64 re))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 im (cos.f64 re)) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) (pow.f64 (*.f64 (neg.f64 im) (cos.f64 re)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 im (cos.f64 re)) #s(literal -1/6 binary64)) (*.f64 im im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (neg.f64 im) (cos.f64 re)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 im (cos.f64 re)) #s(literal -1/6 binary64)) (*.f64 im im)) (*.f64 (neg.f64 im) (cos.f64 re))))))
(fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (cos.f64 re)) im (*.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 (*.f64 (*.f64 im (cos.f64 re)) #s(literal -1/6 binary64)) (*.f64 im im) (*.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 (*.f64 (*.f64 im (cos.f64 re)) (*.f64 im im)) #s(literal -1/6 binary64) (*.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 (*.f64 (*.f64 im (cos.f64 re)) im) (*.f64 #s(literal -1/6 binary64) im) (*.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 (*.f64 #s(literal -1 binary64) (cos.f64 re)) im (*.f64 (*.f64 (*.f64 im (cos.f64 re)) #s(literal -1/6 binary64)) (*.f64 im im)))
(fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (cos.f64 re) (*.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (*.f64 im (cos.f64 re)) (*.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 (neg.f64 im) (cos.f64 re) (*.f64 (*.f64 (*.f64 im (cos.f64 re)) #s(literal -1/6 binary64)) (*.f64 im im)))
(fma.f64 (neg.f64 (cos.f64 re)) im (*.f64 (*.f64 (*.f64 im (cos.f64 re)) #s(literal -1/6 binary64)) (*.f64 im im)))
(fma.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)) (*.f64 (*.f64 (*.f64 im (cos.f64 re)) #s(literal -1/6 binary64)) (*.f64 im im)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 im im) (*.f64 im (cos.f64 re))) (*.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 (*.f64 im im) (*.f64 #s(literal -1/6 binary64) (*.f64 im (cos.f64 re))) (*.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 (*.f64 im (cos.f64 re)) (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (*.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 (*.f64 im (cos.f64 re)) #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 im (cos.f64 re)) #s(literal -1/6 binary64)) (*.f64 im im)))
(fma.f64 im (*.f64 (*.f64 #s(literal -1/6 binary64) im) (*.f64 im (cos.f64 re))) (*.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 im (*.f64 (cos.f64 re) (*.f64 #s(literal -1/6 binary64) (*.f64 im im))) (*.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 im (*.f64 (cos.f64 re) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 im (cos.f64 re)) #s(literal -1/6 binary64)) (*.f64 im im)))
(fma.f64 im (neg.f64 (cos.f64 re)) (*.f64 (*.f64 (*.f64 im (cos.f64 re)) #s(literal -1/6 binary64)) (*.f64 im im)))
(fma.f64 (cos.f64 re) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))) (*.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 (cos.f64 re) (neg.f64 im) (*.f64 (*.f64 (*.f64 im (cos.f64 re)) #s(literal -1/6 binary64)) (*.f64 im im)))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 im (cos.f64 re)) #s(literal -1/6 binary64)) (*.f64 im im)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 im (cos.f64 re)) #s(literal -1/6 binary64)) (*.f64 im im)) (*.f64 (neg.f64 im) (cos.f64 re)))) (/.f64 (pow.f64 (*.f64 (neg.f64 im) (cos.f64 re)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 im (cos.f64 re)) #s(literal -1/6 binary64)) (*.f64 im im)) (*.f64 (neg.f64 im) (cos.f64 re)))))
(-.f64 (*.f64 (*.f64 (*.f64 im (cos.f64 re)) #s(literal -1/6 binary64)) (*.f64 im im)) (*.f64 #s(literal 1 binary64) (*.f64 im (cos.f64 re))))
(-.f64 (*.f64 (*.f64 (*.f64 im (cos.f64 re)) #s(literal -1/6 binary64)) (*.f64 im im)) (*.f64 (*.f64 (neg.f64 im) (cos.f64 re)) #s(literal -1 binary64)))
(+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 im (cos.f64 re)) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 im (cos.f64 re)) #s(literal -1/6 binary64)) (*.f64 im im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (neg.f64 im) (cos.f64 re)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 im (cos.f64 re)) #s(literal -1/6 binary64)) (*.f64 im im)) (*.f64 (neg.f64 im) (cos.f64 re)))))) (/.f64 (pow.f64 (*.f64 (neg.f64 im) (cos.f64 re)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 im (cos.f64 re)) #s(literal -1/6 binary64)) (*.f64 im im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (neg.f64 im) (cos.f64 re)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 im (cos.f64 re)) #s(literal -1/6 binary64)) (*.f64 im im)) (*.f64 (neg.f64 im) (cos.f64 re)))))))
(+.f64 (*.f64 (neg.f64 im) (cos.f64 re)) (*.f64 (*.f64 (*.f64 im (cos.f64 re)) #s(literal -1/6 binary64)) (*.f64 im im)))
(+.f64 (*.f64 (*.f64 (*.f64 im (cos.f64 re)) #s(literal -1/6 binary64)) (*.f64 im im)) (*.f64 (neg.f64 im) (cos.f64 re)))
(log.f64 (pow.f64 (exp.f64 im) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal -1 binary64)) (cos.f64 re))))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal -1 binary64)) im) (cos.f64 re)))
(*.f64 im (cos.f64 re))
(*.f64 (cos.f64 re) im)
(log.f64 (pow.f64 (exp.f64 im) (cos.f64 re)))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 re) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (sin.f64 re) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1 binary64)) (*.f64 (cos.f64 re) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (cos.f64 re) #s(literal 1 binary64))))))
(fma.f64 (sin.f64 (neg.f64 re)) #s(literal 0 binary64) (*.f64 (cos.f64 re) #s(literal 1 binary64)))
(fma.f64 (sin.f64 re) #s(literal 0 binary64) (*.f64 (cos.f64 re) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 re) (*.f64 #s(literal 0 binary64) (sin.f64 re)))
(sin.f64 (+.f64 (neg.f64 (neg.f64 re)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (neg.f64 re) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) re))
(cos.f64 (neg.f64 (neg.f64 (neg.f64 re))))
(cos.f64 (neg.f64 (neg.f64 re)))
(cos.f64 (neg.f64 re))
(cos.f64 re)
(+.f64 (*.f64 (sin.f64 (neg.f64 re)) #s(literal 0 binary64)) (*.f64 (cos.f64 re) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) (*.f64 #s(literal 0 binary64) (sin.f64 re)))
(+.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (cos.f64 re) #s(literal 1 binary64)))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (neg (cos re)) im) (neg.f64 im))
(*.f64 #s(literal -1 binary64) im)
(*.f64 im #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 im im)))) im)
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 im im)) (*.f64 (*.f64 im im) (pow.f64 im #s(literal 3 binary64)))) (pow.f64 im #s(literal 4 binary64)))
(/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (neg.f64 (neg.f64 (*.f64 im im))))
(/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (*.f64 im im))
(/.f64 (neg.f64 (neg.f64 (*.f64 im im))) (neg.f64 im))
(/.f64 (neg.f64 (*.f64 im im)) im)
(/.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 im (neg.f64 im)))
(/.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (neg.f64 im) im))
(/.f64 (pow.f64 im #s(literal 3 binary64)) (neg.f64 (*.f64 im im)))
(/.f64 (*.f64 im im) (neg.f64 im))
(neg.f64 im)
(-.f64 (log.f64 (+.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (neg.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64))))) (log.f64 (fma.f64 (cosh.f64 im) (cosh.f64 im) (-.f64 (pow.f64 (sinh.f64 im) #s(literal 2 binary64)) (*.f64 (cosh.f64 im) (sinh.f64 (neg.f64 im)))))))
(-.f64 (log.f64 (fma.f64 (cosh.f64 im) #s(literal 2 binary64) (neg.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64))))) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 (fma.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64)))))) (log.f64 #s(literal 4 binary64)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (exp.f64 im))))
(-.f64 (/.f64 #s(literal 0 binary64) im) im)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 im im)) im)
(-.f64 #s(literal 0 binary64) im)
(+.f64 (log.f64 (pow.f64 (exp.f64 im) #s(literal -1/2 binary64))) (log.f64 (pow.f64 (exp.f64 im) #s(literal -1/2 binary64))))
(+.f64 (/.f64 #s(literal 0 binary64) im) (/.f64 (*.f64 im (neg.f64 im)) im))
(+.f64 (/.f64 #s(literal 0 binary64) im) (/.f64 (*.f64 (neg.f64 im) im) im))
(log.f64 (exp.f64 (neg.f64 im)))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 re re) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) (neg.f64 im)))
(*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 re re) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im)
(*.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 re re) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) (neg.f64 im))
(*.f64 im (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 re re) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))))
(neg.f64 (*.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 re re) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) im))
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(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (/.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
(-.f64 (/.f64 (exp.f64 (neg.f64 im)) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (/.f64 (exp.f64 im) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
(+.f64 (/.f64 (*.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) (/.f64 (neg.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (/.f64 (*.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (/.f64 (neg.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
(+.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (/.f64 (neg.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (/.f64 (*.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) (/.f64 (neg.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
(+.f64 (/.f64 (*.f64 (/.f64 (neg.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (/.f64 (*.f64 (/.f64 (neg.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
(+.f64 (/.f64 (*.f64 (/.f64 (neg.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (/.f64 (*.f64 (/.f64 (neg.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
(+.f64 (/.f64 (cosh.f64 im) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (/.f64 (-.f64 (sinh.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
(+.f64 (/.f64 (sinh.f64 (neg.f64 im)) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (/.f64 (sinh.f64 (neg.f64 im)) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
(*.f64 (neg.f64 (neg.f64 (exp.f64 (neg.f64 im)))) (neg.f64 (neg.f64 (exp.f64 (neg.f64 im)))))
(*.f64 (pow.f64 (neg.f64 (exp.f64 im)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (exp.f64 im)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (exp.f64 (neg.f64 im))) (neg.f64 (exp.f64 (neg.f64 im))))
(*.f64 (exp.f64 (neg.f64 im)) (exp.f64 (neg.f64 im)))
(pow.f64 (exp.f64 #s(literal -2 binary64)) im)
(pow.f64 (neg.f64 (exp.f64 (neg.f64 im))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 im) #s(literal -2 binary64))
(pow.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 (cosh.f64 im) (exp.f64 (neg.f64 im))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sinh.f64 (neg.f64 im)) (exp.f64 (neg.f64 im))) #s(literal 3 binary64))) (fma.f64 (*.f64 (cosh.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (cosh.f64 im) (exp.f64 (neg.f64 im))) (-.f64 (*.f64 (*.f64 (sinh.f64 (neg.f64 im)) (exp.f64 (neg.f64 im))) (*.f64 (sinh.f64 (neg.f64 im)) (exp.f64 (neg.f64 im)))) (*.f64 (*.f64 (cosh.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (sinh.f64 (neg.f64 im)) (exp.f64 (neg.f64 im)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 (neg.f64 im)) (cosh.f64 im)) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 (neg.f64 im)) (sinh.f64 (neg.f64 im))) #s(literal 3 binary64))) (fma.f64 (*.f64 (exp.f64 (neg.f64 im)) (cosh.f64 im)) (*.f64 (exp.f64 (neg.f64 im)) (cosh.f64 im)) (-.f64 (*.f64 (*.f64 (exp.f64 (neg.f64 im)) (sinh.f64 (neg.f64 im))) (*.f64 (exp.f64 (neg.f64 im)) (sinh.f64 (neg.f64 im)))) (*.f64 (*.f64 (exp.f64 (neg.f64 im)) (cosh.f64 im)) (*.f64 (exp.f64 (neg.f64 im)) (sinh.f64 (neg.f64 im)))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) im)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 #s(literal -2 binary64) im)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) im)) (cosh.f64 (*.f64 #s(literal -2 binary64) im)) (-.f64 (*.f64 (sinh.f64 (*.f64 #s(literal -2 binary64) im)) (sinh.f64 (*.f64 #s(literal -2 binary64) im))) (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) im)) (sinh.f64 (*.f64 #s(literal -2 binary64) im))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))) (neg.f64 (exp.f64 im)))
(/.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1 binary64))) (neg.f64 (exp.f64 im)))
(/.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))) (exp.f64 im))
(/.f64 (fabs.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1 binary64))) (exp.f64 im))
(/.f64 (*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im))) (exp.f64 im))
(/.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1 binary64)) (exp.f64 im))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64))))
(fma.f64 (cosh.f64 im) (exp.f64 (neg.f64 im)) (*.f64 (sinh.f64 (neg.f64 im)) (exp.f64 (neg.f64 im))))
(fma.f64 (exp.f64 (neg.f64 im)) (cosh.f64 im) (*.f64 (exp.f64 (neg.f64 im)) (sinh.f64 (neg.f64 im))))
(sqrt.f64 (pow.f64 (exp.f64 im) #s(literal -4 binary64)))
(fabs.f64 (neg.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64))))
(fabs.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)))
(exp.f64 (neg.f64 (*.f64 im #s(literal 2 binary64))))
(exp.f64 (*.f64 (*.f64 im #s(literal 2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (+.f64 im im) #s(literal -1 binary64)))
(exp.f64 (*.f64 #s(literal -2 binary64) im))
(+.f64 (*.f64 (cosh.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (sinh.f64 (neg.f64 im)) (exp.f64 (neg.f64 im))))
(+.f64 (*.f64 (exp.f64 (neg.f64 im)) (cosh.f64 im)) (*.f64 (exp.f64 (neg.f64 im)) (sinh.f64 (neg.f64 im))))
(+.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) im)) (sinh.f64 (*.f64 #s(literal -2 binary64) im)))

eval486.0ms (5.4%)

Memory
-81.0MiB live, 254.2MiB allocated
Compiler

Compiled 20 454 to 2 221 computations (89.1% saved)

prune37.0ms (0.4%)

Memory
-10.4MiB live, 78.2MiB allocated
Pruning

23 alts after pruning (19 fresh and 4 done)

PrunedKeptTotal
New50912521
Fresh4711
Picked235
Done011
Total51523538
Accuracy
100.0%
Counts
538 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.3%
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (*.f64 (sinh.f64 im) #s(literal 2 binary64))) (neg.f64 (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
48.2%
(*.f64 (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (*.f64 (/.f64 (neg.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
48.2%
(*.f64 (/.f64 (neg.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
71.5%
(*.f64 (*.f64 #s(approx (cos re) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64))
47.7%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) #s(approx (pow (exp im) -2) (fma.f64 #s(literal -2 binary64) im #s(literal 1 binary64)))))))
99.1%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im))))
66.1%
(*.f64 #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)))
65.7%
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
63.8%
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
66.1%
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
66.1%
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
63.8%
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
83.7%
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
59.7%
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
60.4%
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 #s(approx (* (cos re) im) (fma.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64))) (*.f64 re re) im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
57.5%
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)))
50.6%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 re) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 re) #s(literal -1 binary64)) (*.f64 (cos.f64 re) #s(literal -1 binary64)) (fma.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (*.f64 (cos.f64 re) #s(literal -1 binary64)) (*.f64 (sin.f64 re) #s(literal 0 binary64)))))) im))
50.6%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
42.6%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im))
42.7%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im))))
33.0%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 im im) (neg.f64 im))))
40.8%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))
33.0%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
Compiler

Compiled 1 401 to 968 computations (30.9% saved)

simplify177.0ms (1.9%)

Memory
-0.7MiB live, 195.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))
cost-diff0
#s(approx (cos re) #s(literal 1 binary64))
cost-diff0
(*.f64 #s(approx (cos re) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))))
cost-diff4
(*.f64 (*.f64 #s(approx (cos re) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64))
cost-diff0
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)
cost-diff0
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))
cost-diff0
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
cost-diff0
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
cost-diff0
#s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
cost-diff0
(neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
cost-diff0
(*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im)
cost-diff0
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im))
cost-diff0
(fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))
cost-diff0
(*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))
cost-diff0
#s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))
cost-diff0
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))
cost-diff0
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)))
cost-diff0
(cos.f64 re)
cost-diff0
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
cost-diff0
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im))))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
075532
0117528
1212526
2501524
31762512
08710512
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(cos.f64 re)
re
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))
(*.f64 #s(literal 2 binary64) (cosh.f64 im))
#s(literal 2 binary64)
(cosh.f64 im)
im
(exp.f64 im)
(pow.f64 (exp.f64 im) #s(literal -2 binary64))
#s(literal -2 binary64)
#s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im))
(*.f64 #s(literal -2/3 binary64) im)
#s(literal -2/3 binary64)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))
#s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))
(*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))
im
(fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) re)
#s(literal 1/2 binary64)
re
#s(literal -1 binary64)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im))
(*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im)
(neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))
(-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/24 binary64) re) re)
(*.f64 #s(literal 1/24 binary64) re)
#s(literal 1/24 binary64)
re
#s(literal 1/2 binary64)
(*.f64 re re)
#s(literal 1 binary64)
im
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)
(-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64))
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im))
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im)
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im)
(-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64))
(*.f64 (*.f64 #s(literal -1/2520 binary64) im) im)
(*.f64 #s(literal -1/2520 binary64) im)
#s(literal -1/2520 binary64)
im
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
(*.f64 im im)
#s(literal 2 binary64)
(*.f64 (*.f64 #s(approx (cos re) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64))
(*.f64 #s(approx (cos re) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))))
#s(approx (cos re) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))
#s(literal 2 binary64)
(sinh.f64 (neg.f64 im))
(neg.f64 im)
im
#s(literal 1/2 binary64)
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im))))
(*.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(cos.f64 re)
re
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)))
(*.f64 #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))
(fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))
(*.f64 #s(literal 2 binary64) (cosh.f64 im))
(*.f64 (cosh.f64 im) #s(literal 2 binary64))
#s(literal 2 binary64)
(cosh.f64 im)
im
(exp.f64 im)
(pow.f64 (exp.f64 im) #s(literal -2 binary64))
#s(literal -2 binary64)
#s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im))
(*.f64 #s(literal -2/3 binary64) im)
#s(literal -2/3 binary64)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 (fma.f64 (*.f64 re #s(literal 1/2 binary64)) re #s(literal -1 binary64)) im)))
#s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))
#s(approx (* (neg (cos re)) im) (*.f64 (fma.f64 (*.f64 re #s(literal 1/2 binary64)) re #s(literal -1 binary64)) im))
(*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 re #s(literal 1/2 binary64)) re #s(literal -1 binary64)) im)
im
(fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))
(fma.f64 (*.f64 re #s(literal 1/2 binary64)) re #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) re)
(*.f64 re #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
re
#s(literal -1 binary64)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 im) #s(approx (cos re) (fma.f64 (*.f64 re re) (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im)
(*.f64 (neg.f64 im) #s(approx (cos re) (fma.f64 (*.f64 re re) (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
(neg.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
#s(approx (cos re) (fma.f64 (*.f64 re re) (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))
(fma.f64 (*.f64 re re) (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/24 binary64) re) re)
(*.f64 #s(literal 1/24 binary64) re)
#s(literal 1/24 binary64)
re
#s(literal 1/2 binary64)
(*.f64 re re)
#s(literal 1 binary64)
im
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)
(-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64))
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64))
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im))
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) im) im)
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im)
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im)
(-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64))
(*.f64 (*.f64 #s(literal -1/2520 binary64) im) im)
(*.f64 #s(literal -1/2520 binary64) im)
#s(literal -1/2520 binary64)
im
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
(*.f64 im im)
#s(literal 2 binary64)
(*.f64 (*.f64 #s(approx (cos re) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64))
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) #s(literal 1 binary64)))
(*.f64 #s(approx (cos re) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))))
(*.f64 (*.f64 #s(approx (cos re) #s(literal 1 binary64)) #s(literal 2 binary64)) (sinh.f64 (neg.f64 im)))
#s(approx (cos re) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))
(*.f64 (sinh.f64 (neg.f64 im)) #s(literal 2 binary64))
#s(literal 2 binary64)
(sinh.f64 (neg.f64 im))
(neg.f64 im)
im
#s(literal 1/2 binary64)

localize277.0ms (3.1%)

Memory
20.1MiB live, 491.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(sinh.f64 (neg.f64 im))
accuracy0.0
(neg.f64 im)
accuracy0.03515625
(*.f64 #s(approx (cos re) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))))
accuracy11.340237830301607
#s(approx (cos re) #s(literal 1 binary64))
accuracy0.046875
(*.f64 (*.f64 #s(literal -1/2520 binary64) im) im)
accuracy0.07421875
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im))
accuracy0.8695933443068138
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))
accuracy11.3400779064489
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
accuracy0.0625
(*.f64 (*.f64 #s(literal 1/24 binary64) re) re)
accuracy0.18359375
(*.f64 #s(literal 1/24 binary64) re)
accuracy1.0569775435491737
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im))
accuracy12.016128016441305
#s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
accuracy0.0
(*.f64 #s(literal 1/2 binary64) re)
accuracy1.0569775435491737
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))
accuracy4.011197904708927
(*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))
accuracy11.890847860563056
#s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))
accuracy0.03515625
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im))))
accuracy0.17578125
(*.f64 #s(literal -2/3 binary64) im)
accuracy0.8437438074906174
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)))
accuracy1.0827174939229316
#s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im))
Samples
73.0ms54×2valid
61.0ms129×0exit
61.0ms66×1valid
22.0ms0valid
Compiler

Compiled 395 to 58 computations (85.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 162.0ms
ival-mult: 51.0ms (31.5% of total)
ival-exp: 29.0ms (17.9% of total)
const: 20.0ms (12.4% of total)
adjust: 19.0ms (11.7% of total)
ival-sub: 14.0ms (8.6% of total)
ival-pow: 7.0ms (4.3% of total)
ival-cos: 6.0ms (3.7% of total)
ival-add: 5.0ms (3.1% of total)
ival-cosh: 4.0ms (2.5% of total)
ival-div: 3.0ms (1.9% of total)
ival-neg: 2.0ms (1.2% of total)
exact: 1.0ms (0.6% of total)
ival-sinh: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series159.0ms (1.8%)

Memory
-3.1MiB live, 40.8MiB allocated
Counts
29 → 83
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(cos.f64 re)
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))
#s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))
(*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im))
(*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im)
(neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)
(*.f64 (*.f64 #s(approx (cos re) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64))
(*.f64 #s(approx (cos re) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))))
#s(approx (cos re) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))
#s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im))
(*.f64 #s(literal -2/3 binary64) im)
(*.f64 #s(literal 1/2 binary64) re)
(*.f64 #s(literal 1/24 binary64) re)
(*.f64 (*.f64 #s(literal 1/24 binary64) re) re)
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im))
(*.f64 (*.f64 #s(literal -1/2520 binary64) im) im)
(neg.f64 im)
(sinh.f64 (neg.f64 im))
Outputs
(* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im)))))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))))
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))))))
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/48 (- (exp (neg im)) (/ 1 (exp (neg im))))))))))
1/2
(+ 1/2 (* -1/4 (pow re 2)))
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))
1
(+ 1 (* -1/2 (pow re 2)))
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))
(* 1/2 (- (exp (neg im)) (exp im)))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im)))))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im))))))))
(* -1 im)
(+ (* -1 im) (* 1/2 (* im (pow re 2))))
(+ (* -1 im) (* (pow re 2) (+ (* -1/24 (* im (pow re 2))) (* 1/2 im))))
(+ (* -1 im) (* (pow re 2) (+ (* 1/2 im) (* (pow re 2) (+ (* -1/24 im) (* 1/720 (* im (pow re 2))))))))
-1
(- (* 1/2 (pow re 2)) 1)
(- (* (pow re 2) (+ 1/2 (* -1/24 (pow re 2)))) 1)
(- (* (pow re 2) (+ 1/2 (* (pow re 2) (- (* 1/720 (pow re 2)) 1/24)))) 1)
(- (exp (neg im)) (/ 1 (exp (neg im))))
(- (+ (exp (neg im)) (* -1/2 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))) (/ 1 (exp (neg im))))
(- (+ (exp (neg im)) (* (pow re 2) (+ (* -1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/24 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))))) (/ 1 (exp (neg im))))
(- (+ (exp (neg im)) (* (pow re 2) (+ (* -1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/720 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/24 (- (exp (neg im)) (/ 1 (exp (neg im)))))))))) (/ 1 (exp (neg im))))
(* 1/2 re)
(* 1/24 re)
(* 1/24 (pow re 2))
(* 1/2 (* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im))))))
(* 1/2 (cos re))
(cos re)
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* -1 (* im (cos re)))
(* 1/2 (* im (pow re 2)))
(* (pow re 2) (+ (* -1 (/ im (pow re 2))) (* 1/2 im)))
(* 1/2 (pow re 2))
(* (pow re 2) (- 1/2 (/ 1 (pow re 2))))
(* -1 (cos re))
(* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im)))))
(* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re)))))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re)))))))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re)))))))))
(* -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 (- (* 1/2 (pow re 2)) 1))
(* -2 (* im (cos re)))
(* im (+ (* -2 (cos re)) (* -1/3 (* (pow im 2) (cos re)))))
(* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -1/3 (cos re)) (* -1/60 (* (pow im 2) (cos re)))))))
(* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -1/3 (cos re)) (* (pow im 2) (+ (* -1/60 (cos re)) (* -1/2520 (* (pow im 2) (cos re)))))))))
(* -2/3 im)
(* im (- (* 7/9 (pow im 2)) 2/3))
(* im (- (* (pow im 2) (+ 7/9 (* -403/540 (pow im 2)))) 2/3))
(* im (- (* (pow im 2) (+ 7/9 (* (pow im 2) (- (* 5207/7560 (pow im 2)) 403/540)))) 2/3))
(* -1/3 (pow im 2))
(* (pow im 2) (- (* -1/60 (pow im 2)) 1/3))
(* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3))
(* -1/2520 (pow im 2))
(* im (- (* -1/6 (pow im 2)) 1))
(* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) 1/6)) 1))
(- (exp (neg im)) (exp im))
(* -1/2520 (pow im 7))
(* -1 (* (pow im 7) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* (pow im 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(* (pow im 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow im 2)))) (pow im 4))) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(/ (- (exp (neg im)) (/ 1 (exp (neg im)))) (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2))))
(* -1/2520 (pow im 6))
(* -1 (* (pow im 6) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* (pow im 6) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))))
(- (exp (* -1 im)) (/ 1 (exp (* -1 im))))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(- (exp (* -1 im)) (exp im))
(* -1 (* (pow im 7) (+ 1/2520 (+ (/ 1/3 (pow im 4)) (* 1/60 (/ 1 (pow im 2)))))))
(* -1 (* (pow im 7) (+ 1/2520 (+ (/ 1/3 (pow im 4)) (+ (* 1/60 (/ 1 (pow im 2))) (* 2 (/ 1 (pow im 6))))))))
(* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))
(/ (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))) (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2))))
(* 1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))
Calls

6 calls:

TimeVariablePointExpression
140.0ms
im
@0
((* (* 1/2 (cos re)) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))))) (* 1/2 (cos re)) (cos re) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)))) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (* im (+ (* (* 1/2 re) re) -1)) (+ (* (* 1/2 re) re) -1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (cos re)) (cos re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (- (* (- (* (* (- (* (* -1/2520 im) im) 1/60) im) im) 1/3) (* im im)) 2) im) (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) (* 2 (sinh (neg im)))) (cos re) (* 2 (sinh (neg im))) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (* -2/3 im) (* 1/2 re) (* 1/24 re) (* (* 1/24 re) re) (* (- (* (* (- (* (* -1/2520 im) im) 1/60) im) im) 1/3) (* im im)) (* (* -1/2520 im) im) (neg im) (sinh (neg im)))
5.0ms
im
@inf
((* (* 1/2 (cos re)) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))))) (* 1/2 (cos re)) (cos re) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)))) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (* im (+ (* (* 1/2 re) re) -1)) (+ (* (* 1/2 re) re) -1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (cos re)) (cos re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (- (* (- (* (* (- (* (* -1/2520 im) im) 1/60) im) im) 1/3) (* im im)) 2) im) (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) (* 2 (sinh (neg im)))) (cos re) (* 2 (sinh (neg im))) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (* -2/3 im) (* 1/2 re) (* 1/24 re) (* (* 1/24 re) re) (* (- (* (* (- (* (* -1/2520 im) im) 1/60) im) im) 1/3) (* im im)) (* (* -1/2520 im) im) (neg im) (sinh (neg im)))
5.0ms
im
@-inf
((* (* 1/2 (cos re)) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))))) (* 1/2 (cos re)) (cos re) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)))) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (* im (+ (* (* 1/2 re) re) -1)) (+ (* (* 1/2 re) re) -1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (cos re)) (cos re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (- (* (- (* (* (- (* (* -1/2520 im) im) 1/60) im) im) 1/3) (* im im)) 2) im) (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) (* 2 (sinh (neg im)))) (cos re) (* 2 (sinh (neg im))) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (* -2/3 im) (* 1/2 re) (* 1/24 re) (* (* 1/24 re) re) (* (- (* (* (- (* (* -1/2520 im) im) 1/60) im) im) 1/3) (* im im)) (* (* -1/2520 im) im) (neg im) (sinh (neg im)))
3.0ms
re
@-inf
((* (* 1/2 (cos re)) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))))) (* 1/2 (cos re)) (cos re) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)))) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (* im (+ (* (* 1/2 re) re) -1)) (+ (* (* 1/2 re) re) -1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (cos re)) (cos re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (- (* (- (* (* (- (* (* -1/2520 im) im) 1/60) im) im) 1/3) (* im im)) 2) im) (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) (* 2 (sinh (neg im)))) (cos re) (* 2 (sinh (neg im))) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (* -2/3 im) (* 1/2 re) (* 1/24 re) (* (* 1/24 re) re) (* (- (* (* (- (* (* -1/2520 im) im) 1/60) im) im) 1/3) (* im im)) (* (* -1/2520 im) im) (neg im) (sinh (neg im)))
3.0ms
re
@inf
((* (* 1/2 (cos re)) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))))) (* 1/2 (cos re)) (cos re) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)))) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (* im (+ (* (* 1/2 re) re) -1)) (+ (* (* 1/2 re) re) -1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (cos re)) (cos re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (- (* (- (* (* (- (* (* -1/2520 im) im) 1/60) im) im) 1/3) (* im im)) 2) im) (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) (* 2 (sinh (neg im)))) (cos re) (* 2 (sinh (neg im))) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (* -2/3 im) (* 1/2 re) (* 1/24 re) (* (* 1/24 re) re) (* (- (* (* (- (* (* -1/2520 im) im) 1/60) im) im) 1/3) (* im im)) (* (* -1/2520 im) im) (neg im) (sinh (neg im)))

simplify197.0ms (2.2%)

Memory
31.5MiB live, 204.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03021250
19281077
235121038
08153991
Stop Event
iter limit
node limit
Counts
83 → 83
Calls
Call 1
Inputs
(* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im)))))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))))
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))))))
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/48 (- (exp (neg im)) (/ 1 (exp (neg im))))))))))
1/2
(+ 1/2 (* -1/4 (pow re 2)))
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))
1
(+ 1 (* -1/2 (pow re 2)))
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))
(* 1/2 (- (exp (neg im)) (exp im)))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im)))))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im))))))))
(* -1 im)
(+ (* -1 im) (* 1/2 (* im (pow re 2))))
(+ (* -1 im) (* (pow re 2) (+ (* -1/24 (* im (pow re 2))) (* 1/2 im))))
(+ (* -1 im) (* (pow re 2) (+ (* 1/2 im) (* (pow re 2) (+ (* -1/24 im) (* 1/720 (* im (pow re 2))))))))
-1
(- (* 1/2 (pow re 2)) 1)
(- (* (pow re 2) (+ 1/2 (* -1/24 (pow re 2)))) 1)
(- (* (pow re 2) (+ 1/2 (* (pow re 2) (- (* 1/720 (pow re 2)) 1/24)))) 1)
(- (exp (neg im)) (/ 1 (exp (neg im))))
(- (+ (exp (neg im)) (* -1/2 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))) (/ 1 (exp (neg im))))
(- (+ (exp (neg im)) (* (pow re 2) (+ (* -1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/24 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))))) (/ 1 (exp (neg im))))
(- (+ (exp (neg im)) (* (pow re 2) (+ (* -1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/720 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/24 (- (exp (neg im)) (/ 1 (exp (neg im)))))))))) (/ 1 (exp (neg im))))
(* 1/2 re)
(* 1/24 re)
(* 1/24 (pow re 2))
(* 1/2 (* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im))))))
(* 1/2 (cos re))
(cos re)
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* -1 (* im (cos re)))
(* 1/2 (* im (pow re 2)))
(* (pow re 2) (+ (* -1 (/ im (pow re 2))) (* 1/2 im)))
(* 1/2 (pow re 2))
(* (pow re 2) (- 1/2 (/ 1 (pow re 2))))
(* -1 (cos re))
(* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im)))))
(* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re)))))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re)))))))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re)))))))))
(* -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 (- (* 1/2 (pow re 2)) 1))
(* -2 (* im (cos re)))
(* im (+ (* -2 (cos re)) (* -1/3 (* (pow im 2) (cos re)))))
(* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -1/3 (cos re)) (* -1/60 (* (pow im 2) (cos re)))))))
(* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -1/3 (cos re)) (* (pow im 2) (+ (* -1/60 (cos re)) (* -1/2520 (* (pow im 2) (cos re)))))))))
(* -2/3 im)
(* im (- (* 7/9 (pow im 2)) 2/3))
(* im (- (* (pow im 2) (+ 7/9 (* -403/540 (pow im 2)))) 2/3))
(* im (- (* (pow im 2) (+ 7/9 (* (pow im 2) (- (* 5207/7560 (pow im 2)) 403/540)))) 2/3))
(* -1/3 (pow im 2))
(* (pow im 2) (- (* -1/60 (pow im 2)) 1/3))
(* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3))
(* -1/2520 (pow im 2))
(* im (- (* -1/6 (pow im 2)) 1))
(* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) 1/6)) 1))
(- (exp (neg im)) (exp im))
(* -1/2520 (pow im 7))
(* -1 (* (pow im 7) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* (pow im 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(* (pow im 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow im 2)))) (pow im 4))) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(/ (- (exp (neg im)) (/ 1 (exp (neg im)))) (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2))))
(* -1/2520 (pow im 6))
(* -1 (* (pow im 6) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* (pow im 6) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))))
(- (exp (* -1 im)) (/ 1 (exp (* -1 im))))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(- (exp (* -1 im)) (exp im))
(* -1 (* (pow im 7) (+ 1/2520 (+ (/ 1/3 (pow im 4)) (* 1/60 (/ 1 (pow im 2)))))))
(* -1 (* (pow im 7) (+ 1/2520 (+ (/ 1/3 (pow im 4)) (+ (* 1/60 (/ 1 (pow im 2))) (* 2 (/ 1 (pow im 6))))))))
(* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))
(/ (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))) (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2))))
(* 1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))
Outputs
(* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im)))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64))) (*.f64 re re) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/48 (- (exp (neg im)) (/ 1 (exp (neg im))))))))))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (pow re 2)))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))
(fma.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/1440 binary64) (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64))) (*.f64 re re) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow re 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))
(fma.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64))) (*.f64 re re) #s(literal 1 binary64))
(* 1/2 (- (exp (neg im)) (exp im)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im)))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64))) (*.f64 re re) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im))))))))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
(* -1 im)
(neg.f64 im)
(+ (* -1 im) (* 1/2 (* im (pow re 2))))
(*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))
(+ (* -1 im) (* (pow re 2) (+ (* -1/24 (* im (pow re 2))) (* 1/2 im))))
(fma.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) (*.f64 re re) (neg.f64 im))
(+ (* -1 im) (* (pow re 2) (+ (* 1/2 im) (* (pow re 2) (+ (* -1/24 im) (* 1/720 (* im (pow re 2))))))))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 im (fma.f64 (*.f64 #s(literal 1/720 binary64) re) re #s(literal -1/24 binary64))) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))
-1
#s(literal -1 binary64)
(- (* 1/2 (pow re 2)) 1)
(-.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(- (* (pow re 2) (+ 1/2 (* -1/24 (pow re 2)))) 1)
(fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/24 binary64) (-.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(- (* (pow re 2) (+ 1/2 (* (pow re 2) (- (* 1/720 (pow re 2)) 1/24)))) 1)
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 re re)) #s(literal 1/24 binary64)) (-.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(- (exp (neg im)) (/ 1 (exp (neg im))))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(- (+ (exp (neg im)) (* -1/2 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))) (/ 1 (exp (neg im))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(- (+ (exp (neg im)) (* (pow re 2) (+ (* -1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/24 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))))) (/ 1 (exp (neg im))))
(fma.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64))) (*.f64 re re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(- (+ (exp (neg im)) (* (pow re 2) (+ (* -1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/720 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/24 (- (exp (neg im)) (/ 1 (exp (neg im)))))))))) (/ 1 (exp (neg im))))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(* 1/2 re)
(*.f64 #s(literal 1/2 binary64) re)
(* 1/24 re)
(*.f64 #s(literal 1/24 binary64) re)
(* 1/24 (pow re 2))
(*.f64 #s(literal 1/24 binary64) (*.f64 re re))
(* 1/2 (* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im))))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(* 1/2 (cos re))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(cos re)
(cos.f64 re)
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(* -1 (* im (cos re)))
(*.f64 (neg.f64 (cos.f64 re)) im)
(* 1/2 (* im (pow re 2)))
(*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im)
(* (pow re 2) (+ (* -1 (/ im (pow re 2))) (* 1/2 im)))
(*.f64 (*.f64 (*.f64 im (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 re re)) #s(literal -1/2 binary64))) re) re)
(* 1/2 (pow re 2))
(*.f64 (*.f64 re re) #s(literal 1/2 binary64))
(* (pow re 2) (- 1/2 (/ 1 (pow re 2))))
(*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re)
(* -1 (cos re))
(neg.f64 (cos.f64 re))
(* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im)))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re))
(* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re)))))
(*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re)))))))
(*.f64 (fma.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64))) (*.f64 im im) (neg.f64 (cos.f64 re))) im)
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re)))))))))
(*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal -1/120 binary64))) (*.f64 (cos.f64 re) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) im)
(* -2 im)
(*.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 (- (* 1/2 (pow re 2)) 1))
(*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))
(* -2 (* im (cos re)))
(*.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) im)
(* im (+ (* -2 (cos re)) (* -1/3 (* (pow im 2) (cos re)))))
(*.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im)
(* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -1/3 (cos re)) (* -1/60 (* (pow im 2) (cos re)))))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64))) (*.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) im))
(* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -1/3 (cos re)) (* (pow im 2) (+ (* -1/60 (cos re)) (* -1/2520 (* (pow im 2) (cos re)))))))))
(*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im)
(* -2/3 im)
(*.f64 #s(literal -2/3 binary64) im)
(* im (- (* 7/9 (pow im 2)) 2/3))
(*.f64 (-.f64 (*.f64 #s(literal 7/9 binary64) (*.f64 im im)) #s(literal 2/3 binary64)) im)
(* im (- (* (pow im 2) (+ 7/9 (* -403/540 (pow im 2)))) 2/3))
(*.f64 (fma.f64 (*.f64 #s(literal 7/9 binary64) im) im (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -403/540 binary64)) #s(literal 2/3 binary64))) im)
(* im (- (* (pow im 2) (+ 7/9 (* (pow im 2) (- (* 5207/7560 (pow im 2)) 403/540)))) 2/3))
(*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 5207/7560 binary64) (*.f64 im im)) #s(literal 403/540 binary64)) (-.f64 (*.f64 #s(literal 7/9 binary64) (*.f64 im im)) #s(literal 2/3 binary64))) im)
(* -1/3 (pow im 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 im im))
(* (pow im 2) (- (* -1/60 (pow im 2)) 1/3))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im)
(* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3))
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im))
(* -1/2520 (pow im 2))
(*.f64 #s(literal -1/2520 binary64) (*.f64 im im))
(* im (- (* -1/6 (pow im 2)) 1))
(*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)
(* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im)
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) 1/6)) 1))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im)
(- (exp (neg im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* -1/2520 (pow im 7))
(*.f64 (pow.f64 im #s(literal 7 binary64)) #s(literal -1/2520 binary64))
(* -1 (* (pow im 7) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(*.f64 (+.f64 (/.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal -1/2520 binary64)) (pow.f64 im #s(literal 7 binary64)))
(* (pow im 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(*.f64 (+.f64 (/.f64 #s(literal -1/60 binary64) (*.f64 im im)) (-.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/2520 binary64))) (pow.f64 im #s(literal 7 binary64)))
(* (pow im 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow im 2)))) (pow im 4))) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 im im)) #s(literal -1/3 binary64)) (pow.f64 im #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 im im)) #s(literal 1/2520 binary64))) (pow.f64 im #s(literal 7 binary64)))
(/ (- (exp (neg im)) (/ 1 (exp (neg im)))) (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2))))
(/.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (+.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) (exp.f64 (*.f64 #s(literal -2 binary64) im))))
(* -1/2520 (pow im 6))
(*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/2520 binary64))
(* -1 (* (pow im 6) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(*.f64 (+.f64 (/.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal -1/2520 binary64)) (pow.f64 im #s(literal 6 binary64)))
(* (pow im 6) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(*.f64 (pow.f64 im #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal -1/60 binary64) (*.f64 im im)) (-.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/2520 binary64))))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(- (exp (* -1 im)) (/ 1 (exp (* -1 im))))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* -1 (* (pow im 7) (+ 1/2520 (+ (/ 1/3 (pow im 4)) (* 1/60 (/ 1 (pow im 2)))))))
(*.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal -1/2520 binary64))) (pow.f64 im #s(literal 7 binary64)))
(* -1 (* (pow im 7) (+ 1/2520 (+ (/ 1/3 (pow im 4)) (+ (* 1/60 (/ 1 (pow im 2))) (* 2 (/ 1 (pow im 6))))))))
(*.f64 (neg.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (*.f64 im im))) (/.f64 #s(literal -2 binary64) (pow.f64 im #s(literal 6 binary64))))) (pow.f64 im #s(literal 7 binary64)))
(* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re))
(/ (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))) (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2))))
(/.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (+.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) (exp.f64 (*.f64 #s(literal -2 binary64) im))))
(* 1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))

rewrite183.0ms (2%)

Memory
-23.7MiB live, 274.8MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
075397
0117393
1346377
22098377
08224377
Stop Event
iter limit
node limit
iter limit
Counts
29 → 286
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(cos.f64 re)
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))
#s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))
(*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im))
(*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im)
(neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)
(*.f64 (*.f64 #s(approx (cos re) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64))
(*.f64 #s(approx (cos re) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))))
#s(approx (cos re) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))
#s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im))
(*.f64 #s(literal -2/3 binary64) im)
(*.f64 #s(literal 1/2 binary64) re)
(*.f64 #s(literal 1/24 binary64) re)
(*.f64 (*.f64 #s(literal 1/24 binary64) re) re)
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im))
(*.f64 (*.f64 #s(literal -1/2520 binary64) im) im)
(neg.f64 im)
(sinh.f64 (neg.f64 im))
Outputs
(*.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 #s(literal -2 binary64)) im)))
(*.f64 (*.f64 (*.f64 #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 #s(literal -2 binary64)) im))) #s(literal 1/2 binary64)) (cos.f64 re))
(*.f64 (*.f64 (*.f64 (cos.f64 re) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 #s(literal -2 binary64)) im))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 #s(literal -2 binary64)) im))) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)))
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 #s(literal -2 binary64)) im))))
(*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 #s(literal -2 binary64)) im)))))
(*.f64 (*.f64 #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 #s(literal -2 binary64)) im))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(*.f64 #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 #s(literal -2 binary64)) im))))
(*.f64 (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 #s(literal -2 binary64)) im)) (*.f64 #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (cos.f64 re) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 #s(literal -2 binary64)) im))))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(fma.f64 (sin.f64 (neg.f64 re)) #s(literal 0 binary64) (*.f64 (cos.f64 re) #s(literal 1 binary64)))
(fma.f64 (sin.f64 re) #s(literal 0 binary64) (*.f64 (cos.f64 re) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 re) (*.f64 #s(literal 0 binary64) (sin.f64 re)))
(sin.f64 (+.f64 (neg.f64 (neg.f64 re)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (neg.f64 re) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) re))
(cos.f64 (neg.f64 (neg.f64 (neg.f64 re))))
(cos.f64 (neg.f64 (neg.f64 re)))
(cos.f64 (neg.f64 re))
(cos.f64 re)
(+.f64 (*.f64 (sin.f64 (neg.f64 re)) #s(literal 0 binary64)) (*.f64 (cos.f64 re) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) (*.f64 #s(literal 0 binary64) (sin.f64 re)))
(+.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (cos.f64 re) #s(literal 1 binary64)))
(*.f64 #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 #s(literal -2 binary64)) im)))
(*.f64 (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 #s(literal -2 binary64)) im)) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal -4 binary64))) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)))) (neg.f64 (-.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) (pow.f64 (exp.f64 #s(literal -2 binary64)) im))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal -6 binary64)) (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)))) (neg.f64 (fma.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) im) (-.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) im) (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64))) (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)) (-.f64 (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal -4 binary64))))) (neg.f64 (-.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) (pow.f64 (exp.f64 #s(literal -2 binary64)) im))))
(/.f64 (neg.f64 (*.f64 #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)) (+.f64 (pow.f64 (exp.f64 im) #s(literal -6 binary64)) (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) im) (-.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) im) (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64))) (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal -4 binary64))) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im))) (-.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) (pow.f64 (exp.f64 #s(literal -2 binary64)) im)))
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal -6 binary64)) (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im))) (fma.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) im) (-.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) im) (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64))) (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)) (-.f64 (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal -4 binary64)))) (-.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) (pow.f64 (exp.f64 #s(literal -2 binary64)) im)))
(/.f64 (*.f64 #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)) (+.f64 (pow.f64 (exp.f64 im) #s(literal -6 binary64)) (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) im) (-.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) im) (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64))) (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64))))
(fma.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)) (*.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) im) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im))))
(fma.f64 #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)) (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) (*.f64 #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)) (pow.f64 (exp.f64 #s(literal -2 binary64)) im)))
(fma.f64 #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)) (pow.f64 (exp.f64 #s(literal -2 binary64)) im) (*.f64 #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)) (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64))))
(fma.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) im) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)) (*.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im))))
(+.f64 (*.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im))) (*.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) im) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im))))
(+.f64 (*.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) im) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im))) (*.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im))))
(+.f64 (*.f64 #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)) (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64))) (*.f64 #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)) (pow.f64 (exp.f64 #s(literal -2 binary64)) im)))
(+.f64 (*.f64 #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)) (pow.f64 (exp.f64 #s(literal -2 binary64)) im)) (*.f64 #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)) (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 (fma.f64 (*.f64 re #s(literal 1/2 binary64)) re #s(literal -1 binary64)) im)))
#s(approx (* (neg (cos re)) im) (*.f64 (fma.f64 (*.f64 re #s(literal 1/2 binary64)) re #s(literal -1 binary64)) im))
(*.f64 (fma.f64 (*.f64 re #s(literal 1/2 binary64)) re #s(literal -1 binary64)) im)
(*.f64 im (fma.f64 (*.f64 re #s(literal 1/2 binary64)) re #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) im)) (neg.f64 (-.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64)) im)) (neg.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (*.f64 im (-.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 im (fma.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im) #s(literal 2 binary64)) (*.f64 im im))) (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im) (neg.f64 im))))
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(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 3 binary64)) #s(literal 1/27 binary64)) (*.f64 im im))) (neg.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/9 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 im im) (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 2 binary64)) #s(literal 1/9 binary64)))) (neg.f64 (fma.f64 (*.f64 im im) (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 im im) (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (neg.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/9 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (*.f64 im im)) (fma.f64 (*.f64 im im) (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 3 binary64)) #s(literal 1/27 binary64)) (*.f64 im im)) (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/9 binary64))))
(/.f64 (*.f64 (*.f64 im im) (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 2 binary64)) #s(literal 1/9 binary64))) (fma.f64 (*.f64 im im) (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))
(/.f64 (*.f64 (*.f64 im im) (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 3 binary64)) #s(literal 1/27 binary64))) (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/9 binary64))))
(log.f64 (pow.f64 (exp.f64 im) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) im)))
(*.f64 (*.f64 #s(literal -1/2520 binary64) (neg.f64 im)) (neg.f64 im))
(*.f64 (*.f64 im im) #s(literal -1/2520 binary64))
(*.f64 (*.f64 #s(literal -1/2520 binary64) im) im)
(*.f64 #s(literal -1/2520 binary64) (*.f64 im im))
(*.f64 im (*.f64 #s(literal -1/2520 binary64) im))
(log.f64 (pow.f64 (exp.f64 im) (*.f64 #s(literal -1/2520 binary64) im)))
(*.f64 #s(literal -1 binary64) im)
(*.f64 im #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 im im)))) im)
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 im im)) (*.f64 (*.f64 im im) (pow.f64 im #s(literal 3 binary64)))) (pow.f64 im #s(literal 4 binary64)))
(/.f64 (neg.f64 (neg.f64 (*.f64 im im))) (neg.f64 im))
(/.f64 (neg.f64 (*.f64 im im)) im)
(/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (neg.f64 (neg.f64 (*.f64 im im))))
(/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (*.f64 im im))
(/.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 im (neg.f64 im)))
(/.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (neg.f64 im) im))
(/.f64 (pow.f64 im #s(literal 3 binary64)) (neg.f64 (*.f64 im im)))
(/.f64 (*.f64 im im) (neg.f64 im))
(neg.f64 im)
(-.f64 (log.f64 (+.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (neg.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64))))) (log.f64 (fma.f64 (cosh.f64 im) (cosh.f64 im) (-.f64 (pow.f64 (sinh.f64 im) #s(literal 2 binary64)) (*.f64 (cosh.f64 im) (sinh.f64 (neg.f64 im)))))))
(-.f64 (log.f64 (fma.f64 (cosh.f64 im) #s(literal 2 binary64) (neg.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64))))) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 (fma.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64)))))) (log.f64 #s(literal 4 binary64)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (exp.f64 im))))
(-.f64 (/.f64 #s(literal 0 binary64) im) im)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 im im)) im)
(-.f64 #s(literal 0 binary64) im)
(+.f64 (log.f64 (pow.f64 (exp.f64 im) #s(literal -1/2 binary64))) (log.f64 (pow.f64 (exp.f64 im) #s(literal -1/2 binary64))))
(log.f64 (exp.f64 (neg.f64 im)))
(*.f64 (neg.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (sinh.f64 (neg.f64 im)) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (neg.f64 im)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 im) #s(literal -2 binary64)))
(*.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 im))) #s(literal 4 binary64))
(/.f64 (fma.f64 (sinh.f64 (neg.f64 im)) #s(literal 2 binary64) (neg.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64)))) #s(literal 4 binary64))
(/.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64)) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64))) #s(literal 2 binary64))
(sinh.f64 (neg.f64 im))
(neg.f64 (sinh.f64 im))
(-.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 im)) (cosh.f64 im)) #s(literal 2 binary64)) (/.f64 (sinh.f64 im) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) im) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 #s(literal -2 binary64)) im))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 #s(literal -2 binary64)) im))) #s(literal 2 binary64)))
(-.f64 (*.f64 (sinh.f64 (/.f64 #s(literal 0 binary64) im)) (cosh.f64 im)) (*.f64 (cosh.f64 (/.f64 #s(literal 0 binary64) im)) (sinh.f64 im)))
(-.f64 (*.f64 (sinh.f64 (/.f64 #s(literal 0 binary64) (*.f64 im im))) (cosh.f64 im)) (*.f64 (cosh.f64 (/.f64 #s(literal 0 binary64) (*.f64 im im))) (sinh.f64 im)))
(-.f64 (/.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)) (/.f64 (exp.f64 im) #s(literal 2 binary64)))
(-.f64 (*.f64 #s(literal 0 binary64) (cosh.f64 im)) (*.f64 #s(literal 1 binary64) (sinh.f64 im)))
(+.f64 (/.f64 (sinh.f64 im) #s(literal -2 binary64)) (/.f64 (sinh.f64 im) #s(literal -2 binary64)))

eval48.0ms (0.5%)

Memory
-9.7MiB live, 125.4MiB allocated
Compiler

Compiled 12 601 to 1 740 computations (86.2% saved)

prune28.0ms (0.3%)

Memory
35.2MiB live, 86.4MiB allocated
Pruning

24 alts after pruning (17 fresh and 7 done)

PrunedKeptTotal
New3556361
Fresh31114
Picked235
Done044
Total36024384
Accuracy
100.0%
Counts
384 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.3%
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (*.f64 (sinh.f64 im) #s(literal 2 binary64))) (neg.f64 (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
99.1%
(*.f64 (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 #s(literal -2 binary64)) im)) (*.f64 #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
48.2%
(*.f64 (/.f64 (neg.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
47.7%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) #s(approx (pow (exp im) -2) (fma.f64 #s(literal -2 binary64) im #s(literal 1 binary64)))))))
99.1%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im))))
71.5%
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) #s(literal 1 binary64)))
65.7%
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
63.8%
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
66.1%
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
63.8%
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
83.7%
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
59.7%
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
60.4%
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 #s(approx (* (cos re) im) (fma.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64))) (*.f64 re re) im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
57.5%
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)))
50.6%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 re) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 re) #s(literal -1 binary64)) (*.f64 (cos.f64 re) #s(literal -1 binary64)) (fma.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (*.f64 (cos.f64 re) #s(literal -1 binary64)) (*.f64 (sin.f64 re) #s(literal 0 binary64)))))) im))
50.6%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
42.6%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im))
40.8%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) (*.f64 re im) (neg.f64 im))))
42.7%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) (*.f64 re re) (neg.f64 im))))
33.0%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 im im) (neg.f64 im))))
40.8%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))
12.0%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64))))))
33.0%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
48.4%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) #s(approx (* im (+ (* (* 1/2 re) re) -1)) (*.f64 (*.f64 (*.f64 im (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 re re)) #s(literal -1/2 binary64))) re) re))))
Compiler

Compiled 2 055 to 810 computations (60.6% saved)

regimes75.0ms (0.8%)

Memory
-53.2MiB live, 150.5MiB allocated
Counts
41 → 1
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 im im) (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) (*.f64 re im) (neg.f64 im))))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) (*.f64 re re) (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) #s(approx (* im (+ (* (* 1/2 re) re) -1)) (*.f64 (*.f64 (*.f64 im (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 re re)) #s(literal -1/2 binary64))) re) re))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 #s(approx (* (cos re) im) (fma.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64))) (*.f64 re re) im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (cos re) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im))))
(*.f64 (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 #s(literal -2 binary64)) im)) (*.f64 #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) #s(approx (pow (exp im) -2) (fma.f64 #s(literal -2 binary64) im #s(literal 1 binary64)))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))))
(*.f64 (/.f64 (neg.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
(*.f64 (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (*.f64 (/.f64 (neg.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (*.f64 (sinh.f64 im) #s(literal 2 binary64))) (neg.f64 (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 re) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 re) #s(literal -1 binary64)) (*.f64 (cos.f64 re) #s(literal -1 binary64)) (fma.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (*.f64 (cos.f64 re) #s(literal -1 binary64)) (*.f64 (sin.f64 re) #s(literal 0 binary64)))))) im))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re)) (*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re)) (-.f64 (*.f64 (*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re)) (*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re))) (*.f64 (*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re)) (*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re)))))) #s(literal 1/2 binary64))
Outputs
(*.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64))
Calls

6 calls:

14.0ms
im
12.0ms
(cos.f64 re)
11.0ms
re
10.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
8.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
99.9%1re
99.9%1im
99.9%1(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
99.9%1(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
99.9%1(cos.f64 re)
99.9%1(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes100.0ms (1.1%)

Memory
32.5MiB live, 76.6MiB allocated
Counts
30 → 3
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 im im) (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) (*.f64 re im) (neg.f64 im))))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) (*.f64 re re) (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) #s(approx (* im (+ (* (* 1/2 re) re) -1)) (*.f64 (*.f64 (*.f64 im (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 re re)) #s(literal -1/2 binary64))) re) re))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 #s(approx (* (cos re) im) (fma.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64))) (*.f64 re re) im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (cos re) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)))
Outputs
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) #s(literal 1 binary64)))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
Calls

6 calls:

62.0ms
im
8.0ms
re
8.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
8.0ms
(cos.f64 re)
6.0ms
(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
Results
AccuracySegmentsBranch
97.0%2re
98.0%3im
99.9%3(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
97.0%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
97.0%2(cos.f64 re)
92.7%1(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes7.0ms (0.1%)

Memory
15.1MiB live, 15.1MiB allocated
Counts
25 → 3
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 im im) (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) (*.f64 re im) (neg.f64 im))))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) (*.f64 re re) (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) #s(approx (* im (+ (* (* 1/2 re) re) -1)) (*.f64 (*.f64 (*.f64 im (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 re re)) #s(literal -1/2 binary64))) re) re))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 #s(approx (* (cos re) im) (fma.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64))) (*.f64 re re) im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (cos re) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64))
Outputs
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) #s(literal 1 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
Calls

1 calls:

5.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
99.8%3(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes43.0ms (0.5%)

Memory
-9.9MiB live, 81.1MiB allocated
Counts
23 → 3
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 im im) (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) (*.f64 re im) (neg.f64 im))))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) (*.f64 re re) (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) #s(approx (* im (+ (* (* 1/2 re) re) -1)) (*.f64 (*.f64 (*.f64 im (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 re re)) #s(literal -1/2 binary64))) re) re))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 #s(approx (* (cos re) im) (fma.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64))) (*.f64 re re) im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
Outputs
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
Calls

6 calls:

10.0ms
re
7.0ms
im
6.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
6.0ms
(cos.f64 re)
5.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
83.8%2(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
90.1%4im
74.2%3re
79.5%3(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
79.5%3(cos.f64 re)
95.2%3(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes35.0ms (0.4%)

Memory
-31.8MiB live, 63.8MiB allocated
Counts
22 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 im im) (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) (*.f64 re im) (neg.f64 im))))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) (*.f64 re re) (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) #s(approx (* im (+ (* (* 1/2 re) re) -1)) (*.f64 (*.f64 (*.f64 im (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 re re)) #s(literal -1/2 binary64))) re) re))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 #s(approx (* (cos re) im) (fma.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64))) (*.f64 re re) im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))
Outputs
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.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:

10.0ms
im
6.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
6.0ms
(cos.f64 re)
5.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
5.0ms
(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
Results
AccuracySegmentsBranch
77.5%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
77.5%2(cos.f64 re)
66.1%1(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
73.2%4im
77.4%2(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Compiler

Compiled 26 to 28 computations (-7.7% saved)

regimes15.0ms (0.2%)

Memory
33.5MiB live, 33.5MiB allocated
Counts
17 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 im im) (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) (*.f64 re im) (neg.f64 im))))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) (*.f64 re re) (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) #s(approx (* im (+ (* (* 1/2 re) re) -1)) (*.f64 (*.f64 (*.f64 im (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 re re)) #s(literal -1/2 binary64))) re) re))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 #s(approx (* (cos re) im) (fma.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64))) (*.f64 re re) im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
Outputs
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))
Calls

3 calls:

5.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
5.0ms
(cos.f64 re)
4.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
75.2%2(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
75.2%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
75.2%2(cos.f64 re)
Compiler

Compiled 18 to 19 computations (-5.6% saved)

regimes25.0ms (0.3%)

Memory
4.2MiB live, 49.5MiB allocated
Counts
14 → 3
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 im im) (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) (*.f64 re im) (neg.f64 im))))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) (*.f64 re re) (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) #s(approx (* im (+ (* (* 1/2 re) re) -1)) (*.f64 (*.f64 (*.f64 im (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 re re)) #s(literal -1/2 binary64))) re) re))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
Outputs
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) (*.f64 re re) (neg.f64 im))))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
Calls

5 calls:

7.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
4.0ms
im
4.0ms
re
4.0ms
(cos.f64 re)
4.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
68.6%4im
63.2%2re
68.9%2(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
71.3%3(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
71.3%3(cos.f64 re)
Compiler

Compiled 20 to 23 computations (-15% saved)

regimes13.0ms (0.1%)

Memory
-24.3MiB live, 21.5MiB allocated
Counts
11 → 3
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 im im) (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) (*.f64 re im) (neg.f64 im))))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) (*.f64 re re) (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im))
Outputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) (*.f64 re im) (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) (*.f64 re re) (neg.f64 im))))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)))
Calls

3 calls:

6.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
3.0ms
(cos.f64 re)
3.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
67.0%2(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
69.4%3(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
69.4%3(cos.f64 re)
Compiler

Compiled 18 to 19 computations (-5.6% saved)

regimes8.0ms (0.1%)

Memory
14.3MiB live, 14.3MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 im im) (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) (*.f64 re im) (neg.f64 im))))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)))
Outputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) (*.f64 re im) (neg.f64 im))))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)))
Calls

3 calls:

2.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
2.0ms
(cos.f64 re)
2.0ms
(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
Results
AccuracySegmentsBranch
57.5%1(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
67.1%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
67.1%2(cos.f64 re)
Compiler

Compiled 13 to 15 computations (-15.4% saved)

regimes17.0ms (0.2%)

Memory
-22.5MiB live, 29.3MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 im im) (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) (*.f64 re im) (neg.f64 im))))
Outputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 im im) (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) (*.f64 re im) (neg.f64 im))))
Calls

6 calls:

6.0ms
(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
2.0ms
im
2.0ms
re
2.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
2.0ms
(cos.f64 re)
Results
AccuracySegmentsBranch
48.6%2(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
40.8%1re
50.5%2im
57.1%2(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
46.8%3(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
46.8%3(cos.f64 re)
Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes2.0ms (0%)

Memory
5.0MiB live, 5.0MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 im im) (neg.f64 im))))
Outputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 im im) (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))
Calls

1 calls:

2.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
57.1%2(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes8.0ms (0.1%)

Memory
26.5MiB live, 26.5MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))
Outputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
Calls

5 calls:

2.0ms
im
2.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
1.0ms
(cos.f64 re)
1.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
1.0ms
(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
Results
AccuracySegmentsBranch
42.5%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
42.5%2(cos.f64 re)
40.8%1(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
40.8%1im
42.5%2(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Compiler

Compiled 26 to 28 computations (-7.7% saved)

regimes40.0ms (0.4%)

Memory
-25.3MiB live, 21.9MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

6 calls:

34.0ms
re
1.0ms
im
1.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
1.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
1.0ms
(cos.f64 re)
Results
AccuracySegmentsBranch
33.0%1im
33.0%1(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
33.0%1re
33.0%1(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
33.0%1(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
33.0%1(cos.f64 re)
Compiler

Compiled 27 to 30 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.433747213824207e-5
+inf
0.0ms
-1.7227156123059557
-4.762309029904266e-7
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.433747213824207e-5
+inf
0.0ms
-4.762309029904266e-7
-1.1349673978422459e-9
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.433747213824207e-5
+inf
0.0ms
-4.762309029904266e-7
-1.1349673978422459e-9
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.09111868028157954
-0.02571319812505048
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.09111868028157954
-0.02571319812505048
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.999999809546535
0.9999999993548113
0.0ms
-0.02571319812505048
0.017656883527654425
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999993548113
0.9999999999971865
0.0ms
-0.02571319812505048
0.017656883527654425
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.09111868028157954
-0.02571319812505048
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.7227156123059557
-4.762309029904266e-7
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.7227156123059557
-4.762309029904266e-7
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.09111868028157954
-0.02571319812505048
Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify59.0ms (0.6%)

Memory
-12.3MiB live, 78.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0148877
1237877
2444877
31146857
43941857
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -1 binary64)) (*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) #s(literal 1 binary64))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -944473296573929/2361183241434822606848 binary64)) (*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) #s(literal 1 binary64))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -944473296573929/2361183241434822606848 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))))
(if (<=.f64 (cos.f64 re) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.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 (cos.f64 re) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))))
(if (<=.f64 (cos.f64 re) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) (if (<=.f64 (cos.f64 re) #s(literal 9007198354021067/9007199254740992 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) (*.f64 re re) (neg.f64 im)))) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))))
(if (<=.f64 (cos.f64 re) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) (*.f64 re im) (neg.f64 im)))) (if (<=.f64 (cos.f64 re) #s(literal 562949953139837/562949953421312 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) (*.f64 re re) (neg.f64 im)))) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)))))
(if (<=.f64 (cos.f64 re) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) (*.f64 re im) (neg.f64 im)))) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -1 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 im im) (neg.f64 im)))) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) (*.f64 re im) (neg.f64 im)))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -1 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 im im) (neg.f64 im)))) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))))
(if (<=.f64 (cos.f64 re) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
Outputs
(*.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -1 binary64)) (*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) #s(literal 1 binary64))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -1 binary64)) (*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) #s(literal 1 binary64))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -944473296573929/2361183241434822606848 binary64)) (*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) #s(literal 1 binary64))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -944473296573929/2361183241434822606848 binary64)) (*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) #s(literal 1 binary64))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (neg.f64 (cos.f64 re)) im)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -944473296573929/2361183241434822606848 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -944473296573929/2361183241434822606848 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (neg.f64 (cos.f64 re)) im)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))))
(if (<=.f64 (cos.f64 re) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.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 (cos.f64 re) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))))
(if (<=.f64 (cos.f64 re) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) (if (<=.f64 (cos.f64 re) #s(literal 9007198354021067/9007199254740992 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) (*.f64 re re) (neg.f64 im)))) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))))
(if (or (<=.f64 (cos.f64 re) #s(literal -5764607523034235/288230376151711744 binary64)) (not (<=.f64 (cos.f64 re) #s(literal 9007198354021067/9007199254740992 binary64)))) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) (*.f64 re re) (neg.f64 im)))))
(if (<=.f64 (cos.f64 re) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) (*.f64 re im) (neg.f64 im)))) (if (<=.f64 (cos.f64 re) #s(literal 562949953139837/562949953421312 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) (*.f64 re re) (neg.f64 im)))) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)))))
(if (<=.f64 (cos.f64 re) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) (*.f64 re im) (neg.f64 im)))) (if (<=.f64 (cos.f64 re) #s(literal 562949953139837/562949953421312 binary64)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) (*.f64 re re) (neg.f64 im)))) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)))))
(if (<=.f64 (cos.f64 re) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) (*.f64 re im) (neg.f64 im)))) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im))))
(if (<=.f64 (cos.f64 re) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) (*.f64 re im) (neg.f64 im)))) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -1 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 im im) (neg.f64 im)))) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) (*.f64 re im) (neg.f64 im)))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -1 binary64)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 (neg.f64 im) im) im))) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) (*.f64 re im) (neg.f64 im)))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -1 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 im im) (neg.f64 im)))) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -1 binary64)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 (neg.f64 im) im) im))) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))))
(if (<=.f64 (cos.f64 re) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))))
(if (<=.f64 (cos.f64 re) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (neg (cos re)) im) (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (neg (cos re)) im) (neg.f64 im)))

soundness1.5s (16.7%)

Memory
40.1MiB live, 1 436.4MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0126381
1387349
21286341
35237320
08363297
02981199
19411076
235151003
08334952
066357
0105353
1337285
22201285
08930285
075397
0117393
1346377
22098377
08224377
02581090
1826928
23212894
37672894
08029850
03021250
19281077
235121038
08153991
01130
01827
16427
242025
0500125
Stop Event
fuel
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 1 375 to 641 computations (53.4% saved)

preprocess183.0ms (2%)

Memory
5.5MiB live, 190.2MiB allocated
Remove

(negabs im)

(abs re)

Compiler

Compiled 1 922 to 464 computations (75.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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