Linear.Quaternion:$csin from linear-1.19.1.3

Time bar (total: 3.9s)

start0.0ms (0%)

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

analyze15.0ms (0.4%)

Memory
31.0MiB live, 31.0MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
93.8%93.7%6.2%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
96.9%96.8%3.1%0.1%0%0%0%12
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.0s (25.8%)

Memory
20.8MiB live, 1 183.0MiB allocated; 325ms collecting garbage
Samples
755.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 481.0ms
ival-cos: 281.0ms (58.4% of total)
ival-sinh: 119.0ms (24.7% of total)
ival-div!: 45.0ms (9.3% of total)
ival-mult!: 35.0ms (7.3% of total)
adjust: 1.0ms (0.2% of total)
Bogosity

explain108.0ms (2.8%)

Memory
5.1MiB live, 103.6MiB allocated; 13ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(sinh.f64 y)
00-0-(/.f64 (sinh.f64 y) y)
00-0-y
00-0-(cos.f64 x)
00-0-(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
54.0ms512×0valid
Compiler

Compiled 45 to 22 computations (51.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-cos: 12.0ms (58.5% of total)
ival-sinh: 4.0ms (19.5% of total)
ival-div!: 3.0ms (14.6% of total)
ival-mult!: 2.0ms (9.8% of total)
adjust: 0.0ms (0% of total)

preprocess27.0ms (0.7%)

Memory
-28.6MiB live, 16.0MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01948
16246
216946
339846
4164446
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Symmetry

(abs x)

Compiler

Compiled 14 to 12 computations (14.3% saved)

series13.0ms (0.3%)

Memory
20.6MiB live, 20.5MiB allocated; 0ms collecting garbage
Counts
6 → 26
Calls
Call 1
Inputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(cos.f64 x)
x
(/.f64 (sinh.f64 y) y)
(sinh.f64 y)
y
Outputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (cos x)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (cos x) (* 1/6 (* (pow y 2) (cos x))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))))
#s(approx (/ (sinh y) y) #s(hole binary64 1))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))
#s(approx (sinh y) #s(hole binary64 y))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2))))))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))))
#s(approx y #s(hole binary64 y))
#s(approx (/ (sinh y) y) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
#s(approx (sinh y) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
Calls

6 calls:

TimeVariablePointExpression
4.0ms
y
@-inf
((* (cos x) (/ (sinh y) y)) (cos x) x (/ (sinh y) y) (sinh y) y)
2.0ms
y
@inf
((* (cos x) (/ (sinh y) y)) (cos x) x (/ (sinh y) y) (sinh y) y)
2.0ms
x
@inf
((* (cos x) (/ (sinh y) y)) (cos x) x (/ (sinh y) y) (sinh y) y)
2.0ms
y
@0
((* (cos x) (/ (sinh y) y)) (cos x) x (/ (sinh y) y) (sinh y) y)
1.0ms
x
@-inf
((* (cos x) (/ (sinh y) y)) (cos x) x (/ (sinh y) y) (sinh y) y)

rewrite186.0ms (4.8%)

Memory
4.8MiB live, 145.7MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0117514
0121501
1654462
06122434
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
32 → 53
Calls
Call 1
Inputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(cos.f64 x)
x
(/.f64 (sinh.f64 y) y)
(sinh.f64 y)
y
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (cos x)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (cos x) (* 1/6 (* (pow y 2) (cos x))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))))
#s(approx (/ (sinh y) y) #s(hole binary64 1))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))
#s(approx (sinh y) #s(hole binary64 y))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2))))))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))))
#s(approx y #s(hole binary64 y))
#s(approx (/ (sinh y) y) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
#s(approx (sinh y) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
Outputs
(*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (*.f64 (sinh.f64 (neg.f64 y)) (cos.f64 x)) (neg.f64 y))
(/.f64 (*.f64 (cos.f64 x) (sinh.f64 (neg.f64 y))) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (sinh.f64 y) (cos.f64 x))) (neg.f64 y))
(/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) y)
(fma.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(cos.f64 (neg.f64 (neg.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (*.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
x
(/.f64 (neg.f64 (sinh.f64 (neg.f64 y))) (neg.f64 (neg.f64 y)))
(/.f64 (sinh.f64 (neg.f64 y)) (neg.f64 y))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 #s(literal 2 binary64) y))
(/.f64 (sinh.f64 y) y)
(neg.f64 (/.f64 (sinh.f64 (neg.f64 y)) y))
(neg.f64 (/.f64 (sinh.f64 y) (neg.f64 y)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64))) (*.f64 (fma.f64 (exp.f64 y) (exp.f64 y) (+.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 2 binary64))
(sinh.f64 y)
(-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64)))
y
#s(approx (* (cos x) (/ (sinh y) y)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))) y))
#s(approx (* (cos x) (/ (sinh y) y)) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) y) (*.f64 x x) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) y) (*.f64 x x) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y))) (*.f64 x x) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64))))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx x x)
#s(approx (* (cos x) (/ (sinh y) y)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y)))
#s(approx (cos x) (cos.f64 x))
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
#s(approx (* (cos x) (/ (sinh y) y)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (cos.f64 x)))
#s(approx (* (cos x) (/ (sinh y) y)) (fma.f64 (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (cos.f64 x)))
#s(approx (* (cos x) (/ (sinh y) y)) (fma.f64 (fma.f64 (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) (*.f64 #s(literal 1/6 binary64) (cos.f64 x))) (*.f64 y y) (cos.f64 x)))
#s(approx (/ (sinh y) y) #s(literal 1 binary64))
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (sinh y) y)
#s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))
#s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))
#s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))
#s(approx y y)
#s(approx (/ (sinh y) y) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64)))
#s(approx (sinh y) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))

eval6.0ms (0.2%)

Memory
8.5MiB live, 8.5MiB allocated; 0ms collecting garbage
Compiler

Compiled 808 to 206 computations (74.5% saved)

prune4.0ms (0.1%)

Memory
5.9MiB live, 5.9MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New50555
Fresh000
Picked011
Done000
Total50656
Accuracy
100.0%
Counts
56 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.1%
(*.f64 (cos.f64 x) (/.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))) y))
100.0%
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
79.9%
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
62.4%
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y))
65.2%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
54.3%
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
Compiler

Compiled 131 to 106 computations (19.1% saved)

series41.0ms (1%)

Memory
-13.5MiB live, 32.6MiB allocated; 3ms collecting garbage
Counts
28 → 81
Calls
Call 1
Inputs
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(cos.f64 x)
x
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
#s(approx (cos x) #s(literal 1 binary64))
(/.f64 (sinh.f64 y) y)
(sinh.f64 y)
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 x x)
(*.f64 (cos.f64 x) (/.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))) y))
(/.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))) y)
(-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64)))
(/.f64 (exp.f64 y) #s(literal 2 binary64))
(exp.f64 y)
#s(literal 2 binary64)
(/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))
(exp.f64 (neg.f64 y))
(neg.f64 y)
Outputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y)))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (- (+ (* -1/2 (/ (* (pow x 2) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y)) (* 1/2 (/ (exp y) y))) (* 1/2 (/ (exp (neg y)) y)))))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (- (+ (* 1/2 (/ (exp y) y)) (* (pow x 2) (+ (* -1/2 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y)) (* 1/24 (/ (* (pow x 2) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y))))) (* 1/2 (/ (exp (neg y)) y)))))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (- (+ (* 1/2 (/ (exp y) y)) (* (pow x 2) (+ (* -1/2 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y)) (* (pow x 2) (+ (* -1/720 (/ (* (pow x 2) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y)) (* 1/24 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y))))))) (* 1/2 (/ (exp (neg y)) y)))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (/ (* (cos x) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (cos x)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (cos x) (* 1/6 (* (pow y 2) (cos x))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))))
#s(approx (/ (sinh y) y) #s(hole binary64 1))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx y #s(hole binary64 y))
#s(approx (sinh y) #s(hole binary64 y))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2))))))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (cos x)))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (+ (cos x) (* 1/6 (* (pow y 2) (cos x))))))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 1))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 y))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2))))))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))))
#s(approx (/ (exp y) 2) #s(hole binary64 1/2))
#s(approx (/ (exp y) 2) #s(hole binary64 (+ 1/2 (* 1/2 y))))
#s(approx (/ (exp y) 2) #s(hole binary64 (+ 1/2 (* y (+ 1/2 (* 1/4 y))))))
#s(approx (/ (exp y) 2) #s(hole binary64 (+ 1/2 (* y (+ 1/2 (* y (+ 1/4 (* 1/12 y))))))))
#s(approx (exp y) #s(hole binary64 1))
#s(approx (exp y) #s(hole binary64 (+ 1 y)))
#s(approx (exp y) #s(hole binary64 (+ 1 (* y (+ 1 (* 1/2 y))))))
#s(approx (exp y) #s(hole binary64 (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))))
#s(approx (/ (exp (neg y)) 2) #s(hole binary64 1/2))
#s(approx (/ (exp (neg y)) 2) #s(hole binary64 (+ 1/2 (* -1/2 y))))
#s(approx (/ (exp (neg y)) 2) #s(hole binary64 (+ 1/2 (* y (- (* 1/4 y) 1/2)))))
#s(approx (/ (exp (neg y)) 2) #s(hole binary64 (+ 1/2 (* y (- (* y (+ 1/4 (* -1/12 y))) 1/2)))))
#s(approx (exp (neg y)) #s(hole binary64 1))
#s(approx (exp (neg y)) #s(hole binary64 (+ 1 (* -1 y))))
#s(approx (exp (neg y)) #s(hole binary64 (+ 1 (* y (- (* 1/2 y) 1)))))
#s(approx (exp (neg y)) #s(hole binary64 (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))))
#s(approx (neg y) #s(hole binary64 (* -1 y)))
#s(approx (/ (sinh y) y) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (* 1/6 (pow y 2))))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))))
#s(approx (sinh y) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y)))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))))
#s(approx (/ (exp y) 2) #s(hole binary64 (* 1/2 (exp y))))
#s(approx (exp y) #s(hole binary64 (exp y)))
#s(approx (/ (exp (neg y)) 2) #s(hole binary64 (* 1/2 (exp (neg y)))))
#s(approx (exp (neg y)) #s(hole binary64 (exp (neg y))))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (/ (* (cos x) (- (* 1/2 (exp y)) (* 1/2 (exp (* -1 y))))) y)))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (* -1 y)))) y)))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (- (* 1/2 (exp y)) (* 1/2 (exp (* -1 y))))))
#s(approx (/ (exp (neg y)) 2) #s(hole binary64 (* 1/2 (exp (* -1 y)))))
#s(approx (exp (neg y)) #s(hole binary64 (exp (* -1 y))))
Calls

6 calls:

TimeVariablePointExpression
21.0ms
y
@0
((* (cos x) (/ (sinh y) y)) (cos x) x (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (* y y) y 1/6 1 (* (cos x) (/ (sinh y) y)) (* (cos x) (/ (sinh y) y)) (cos x) (/ (sinh y) y) (sinh y) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* -1/2 (* x x)) 1) -1/2 (* x x) (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (/ (exp y) 2) (exp y) 2 (/ (exp (neg y)) 2) (exp (neg y)) (neg y))
6.0ms
y
@inf
((* (cos x) (/ (sinh y) y)) (cos x) x (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (* y y) y 1/6 1 (* (cos x) (/ (sinh y) y)) (* (cos x) (/ (sinh y) y)) (cos x) (/ (sinh y) y) (sinh y) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* -1/2 (* x x)) 1) -1/2 (* x x) (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (/ (exp y) 2) (exp y) 2 (/ (exp (neg y)) 2) (exp (neg y)) (neg y))
4.0ms
y
@-inf
((* (cos x) (/ (sinh y) y)) (cos x) x (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (* y y) y 1/6 1 (* (cos x) (/ (sinh y) y)) (* (cos x) (/ (sinh y) y)) (cos x) (/ (sinh y) y) (sinh y) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* -1/2 (* x x)) 1) -1/2 (* x x) (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (/ (exp y) 2) (exp y) 2 (/ (exp (neg y)) 2) (exp (neg y)) (neg y))
3.0ms
x
@inf
((* (cos x) (/ (sinh y) y)) (cos x) x (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (* y y) y 1/6 1 (* (cos x) (/ (sinh y) y)) (* (cos x) (/ (sinh y) y)) (cos x) (/ (sinh y) y) (sinh y) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* -1/2 (* x x)) 1) -1/2 (* x x) (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (/ (exp y) 2) (exp y) 2 (/ (exp (neg y)) 2) (exp (neg y)) (neg y))
2.0ms
x
@-inf
((* (cos x) (/ (sinh y) y)) (cos x) x (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (* y y) y 1/6 1 (* (cos x) (/ (sinh y) y)) (* (cos x) (/ (sinh y) y)) (cos x) (/ (sinh y) y) (sinh y) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* -1/2 (* x x)) 1) -1/2 (* x x) (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (/ (exp y) 2) (exp y) 2 (/ (exp (neg y)) 2) (exp (neg y)) (neg y))

rewrite190.0ms (4.9%)

Memory
-9.5MiB live, 218.6MiB allocated; 32ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02921708
03221444
115731378
083341313
Stop Event
iter-limit
node-limit
iter-limit
Counts
109 → 264
Calls
Call 1
Inputs
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(cos.f64 x)
x
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
#s(approx (cos x) #s(literal 1 binary64))
(/.f64 (sinh.f64 y) y)
(sinh.f64 y)
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 x x)
(*.f64 (cos.f64 x) (/.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))) y))
(/.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))) y)
(-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64)))
(/.f64 (exp.f64 y) #s(literal 2 binary64))
(exp.f64 y)
#s(literal 2 binary64)
(/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))
(exp.f64 (neg.f64 y))
(neg.f64 y)
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y)))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (- (+ (* -1/2 (/ (* (pow x 2) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y)) (* 1/2 (/ (exp y) y))) (* 1/2 (/ (exp (neg y)) y)))))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (- (+ (* 1/2 (/ (exp y) y)) (* (pow x 2) (+ (* -1/2 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y)) (* 1/24 (/ (* (pow x 2) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y))))) (* 1/2 (/ (exp (neg y)) y)))))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (- (+ (* 1/2 (/ (exp y) y)) (* (pow x 2) (+ (* -1/2 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y)) (* (pow x 2) (+ (* -1/720 (/ (* (pow x 2) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y)) (* 1/24 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y))))))) (* 1/2 (/ (exp (neg y)) y)))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (/ (* (cos x) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (cos x)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (cos x) (* 1/6 (* (pow y 2) (cos x))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))))
#s(approx (/ (sinh y) y) #s(hole binary64 1))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx y #s(hole binary64 y))
#s(approx (sinh y) #s(hole binary64 y))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2))))))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (cos x)))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (+ (cos x) (* 1/6 (* (pow y 2) (cos x))))))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 1))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 y))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2))))))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))))
#s(approx (/ (exp y) 2) #s(hole binary64 1/2))
#s(approx (/ (exp y) 2) #s(hole binary64 (+ 1/2 (* 1/2 y))))
#s(approx (/ (exp y) 2) #s(hole binary64 (+ 1/2 (* y (+ 1/2 (* 1/4 y))))))
#s(approx (/ (exp y) 2) #s(hole binary64 (+ 1/2 (* y (+ 1/2 (* y (+ 1/4 (* 1/12 y))))))))
#s(approx (exp y) #s(hole binary64 1))
#s(approx (exp y) #s(hole binary64 (+ 1 y)))
#s(approx (exp y) #s(hole binary64 (+ 1 (* y (+ 1 (* 1/2 y))))))
#s(approx (exp y) #s(hole binary64 (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))))
#s(approx (/ (exp (neg y)) 2) #s(hole binary64 1/2))
#s(approx (/ (exp (neg y)) 2) #s(hole binary64 (+ 1/2 (* -1/2 y))))
#s(approx (/ (exp (neg y)) 2) #s(hole binary64 (+ 1/2 (* y (- (* 1/4 y) 1/2)))))
#s(approx (/ (exp (neg y)) 2) #s(hole binary64 (+ 1/2 (* y (- (* y (+ 1/4 (* -1/12 y))) 1/2)))))
#s(approx (exp (neg y)) #s(hole binary64 1))
#s(approx (exp (neg y)) #s(hole binary64 (+ 1 (* -1 y))))
#s(approx (exp (neg y)) #s(hole binary64 (+ 1 (* y (- (* 1/2 y) 1)))))
#s(approx (exp (neg y)) #s(hole binary64 (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))))
#s(approx (neg y) #s(hole binary64 (* -1 y)))
#s(approx (/ (sinh y) y) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (* 1/6 (pow y 2))))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))))
#s(approx (sinh y) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y)))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))))
#s(approx (/ (exp y) 2) #s(hole binary64 (* 1/2 (exp y))))
#s(approx (exp y) #s(hole binary64 (exp y)))
#s(approx (/ (exp (neg y)) 2) #s(hole binary64 (* 1/2 (exp (neg y)))))
#s(approx (exp (neg y)) #s(hole binary64 (exp (neg y))))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (/ (* (cos x) (- (* 1/2 (exp y)) (* 1/2 (exp (* -1 y))))) y)))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (* -1 y)))) y)))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (- (* 1/2 (exp y)) (* 1/2 (exp (* -1 y))))))
#s(approx (/ (exp (neg y)) 2) #s(hole binary64 (* 1/2 (exp (* -1 y)))))
#s(approx (exp (neg y)) #s(hole binary64 (exp (* -1 y))))
Outputs
(*.f64 (cos.f64 x) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) (cos.f64 x))
(fma.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (neg.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (*.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
x
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(*.f64 (+.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/6 binary64)) (*.f64 y y))
(*.f64 (*.f64 y y) (+.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/6 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 y (*.f64 #s(literal 1/6 binary64) y) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))) (/.f64 (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64))))))
(+.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))
(*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)))
(*.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)))
(*.f64 (fabs.f64 y) (fabs.f64 y))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(fabs.f64 (*.f64 y y))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))))
y
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (cos.f64 x))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (sinh.f64 y) y) #s(approx (cos x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (sinh.f64 y))) (neg.f64 y))
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (sinh.f64 y)) y)
#s(approx (cos x) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) y) (/.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) y)) (*.f64 (/.f64 (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64)) y) (/.f64 (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64)) y))) (+.f64 (/.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) y) (/.f64 (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64)) y)))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) y) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64)) y) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) y) (/.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) y) (fma.f64 (/.f64 (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64)) y) (/.f64 (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64)) y) (*.f64 (/.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) y) (/.f64 (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64)) y)))))
(/.f64 (neg.f64 (sinh.f64 (neg.f64 y))) (neg.f64 (neg.f64 y)))
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) y) (*.f64 y (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64)))) (*.f64 y y))
(/.f64 (sinh.f64 (neg.f64 y)) (neg.f64 y))
(/.f64 (sinh.f64 y) y)
(-.f64 (/.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) y) (/.f64 (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64)) y))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) #s(literal 4 binary64)))) (neg.f64 (cosh.f64 y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 (exp.f64 y) #s(literal -3 binary64)) #s(literal 8 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) #s(literal 4 binary64)) (/.f64 (exp.f64 (+.f64 y (neg.f64 y))) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 y))))) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 y)) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 (exp.f64 (neg.f64 y))))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 y)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 y)))) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (exp.f64 y) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (exp.f64 (neg.f64 y))))) #s(literal -4 binary64))
(/.f64 (-.f64 (neg.f64 (exp.f64 y)) (neg.f64 (exp.f64 (neg.f64 y)))) #s(literal -2 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) #s(literal 4 binary64))) (cosh.f64 y))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 (exp.f64 y) #s(literal -3 binary64)) #s(literal 8 binary64))) (+.f64 (pow.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) #s(literal 4 binary64)) (/.f64 (exp.f64 (+.f64 y (neg.f64 y))) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 y)))) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 2 binary64))
(sinh.f64 y)
(-.f64 (/.f64 (pow.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (cosh.f64 y)) (/.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) #s(literal 4 binary64)) (cosh.f64 y)))
(-.f64 (/.f64 (pow.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) #s(literal 4 binary64)) (/.f64 (exp.f64 (+.f64 y (neg.f64 y))) #s(literal 4 binary64))))) (/.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal -3 binary64)) #s(literal 8 binary64)) (+.f64 (pow.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) #s(literal 4 binary64)) (/.f64 (exp.f64 (+.f64 y (neg.f64 y))) #s(literal 4 binary64))))))
(-.f64 (/.f64 (*.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 y))) #s(literal 4 binary64)))
(-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64)))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (sinh.f64 y) y) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sinh.f64 y))) (neg.f64 y))
(/.f64 (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sinh.f64 y)) y)
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
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(+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64))
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#s(literal -1/2 binary64)
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(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
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(pow.f64 x #s(literal 2 binary64))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))
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(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)
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(/.f64 (sinh.f64 (neg.f64 y)) (neg.f64 y))
(/.f64 (sinh.f64 y) y)
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(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 2 binary64))
(sinh.f64 y)
(-.f64 (/.f64 (pow.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (cosh.f64 y)) (/.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) #s(literal 4 binary64)) (cosh.f64 y)))
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(-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 (exp.f64 y))) #s(literal 2 binary64))
(/.f64 (neg.f64 (exp.f64 y)) #s(literal -2 binary64))
(/.f64 (exp.f64 y) #s(literal 2 binary64))
(+.f64 (/.f64 (cosh.f64 y) #s(literal 2 binary64)) (/.f64 (sinh.f64 y) #s(literal 2 binary64)))
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(exp.f64 y)
(+.f64 (cosh.f64 y) (sinh.f64 y))
#s(literal 2 binary64)
(/.f64 (neg.f64 (neg.f64 (exp.f64 (neg.f64 y)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal -2 binary64))
(/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))
(-.f64 (/.f64 (cosh.f64 y) #s(literal 2 binary64)) (/.f64 (sinh.f64 y) #s(literal 2 binary64)))
(+.f64 (/.f64 (cosh.f64 y) #s(literal 2 binary64)) (/.f64 (sinh.f64 (neg.f64 y)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) y)
(pow.f64 (exp.f64 y) #s(literal -1 binary64))
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(/.f64 (-.f64 (*.f64 (cosh.f64 y) (cosh.f64 y)) (*.f64 (sinh.f64 y) (sinh.f64 y))) (exp.f64 y))
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(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 y)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 y))))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (exp.f64 y))
(-.f64 (cosh.f64 y) (sinh.f64 y))
(exp.f64 (-.f64 #s(literal 0 binary64) y))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) y))
(exp.f64 (*.f64 (log.f64 (exp.f64 y)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 y))
(+.f64 (cosh.f64 y) (sinh.f64 (neg.f64 y)))
(*.f64 #s(literal -1 binary64) y)
(*.f64 y #s(literal -1 binary64))
(neg.f64 y)
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#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))) y))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (*.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) y) (*.f64 x x) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64))))
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#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx x x)
#s(approx (+ (* -1/2 (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* -1/2 (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64)))
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#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (-.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))) y) (*.f64 x x) (*.f64 (/.f64 (exp.f64 y) y) #s(literal 1/2 binary64))) (*.f64 (/.f64 (exp.f64 (neg.f64 y)) y) #s(literal 1/2 binary64))))
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#s(approx (cos x) (cos.f64 x))
#s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
#s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)))
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#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (cos.f64 x))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (cos.f64 x) (cos.f64 x)))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) (cos.f64 x) (*.f64 (cos.f64 x) #s(literal 1/6 binary64))) (*.f64 y y) (cos.f64 x)))
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#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(literal 1 binary64))
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#s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64))
#s(approx (+ (* (* y y) 1/6) 1) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
#s(approx (* y y) (*.f64 y y))
#s(approx y y)
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#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (cos.f64 x))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (cos.f64 x) (cos.f64 x)))
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#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(literal 1 binary64))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
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#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))
#s(approx (/ (exp y) 2) #s(literal 1/2 binary64))
#s(approx (/ (exp y) 2) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1/2 binary64)))
#s(approx (/ (exp y) 2) (fma.f64 (fma.f64 #s(literal 1/4 binary64) y #s(literal 1/2 binary64)) y #s(literal 1/2 binary64)))
#s(approx (/ (exp y) 2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) y #s(literal 1/4 binary64)) y #s(literal 1/2 binary64)) y #s(literal 1/2 binary64)))
#s(approx (exp y) #s(literal 1 binary64))
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
#s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (/ (exp (neg y)) 2) #s(literal 1/2 binary64))
#s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))
#s(approx (/ (exp (neg y)) 2) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/2 binary64)))
#s(approx (/ (exp (neg y)) 2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) y #s(literal 1/4 binary64)) y) #s(literal 1/2 binary64)) y #s(literal 1/2 binary64)))
#s(approx (exp (neg y)) #s(literal 1 binary64))
#s(approx (exp (neg y)) (fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64)))
#s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (neg y) (neg.f64 y))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64)))
#s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))
#s(approx (+ (* (* y y) 1/6) 1) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64)))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))
#s(approx (/ (exp y) 2) (*.f64 (exp.f64 y) #s(literal 1/2 binary64)))
#s(approx (exp y) (exp.f64 y))
#s(approx (/ (exp (neg y)) 2) (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)))
#s(approx (exp (neg y)) (exp.f64 (neg.f64 y)))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (*.f64 (cos.f64 x) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64))))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64)))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))
#s(approx (/ (exp (neg y)) 2) (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)))
#s(approx (exp (neg y)) (exp.f64 (neg.f64 y)))

eval31.0ms (0.8%)

Memory
44.1MiB live, 44.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 6 476 to 1 078 computations (83.4% saved)

prune33.0ms (0.8%)

Memory
-14.1MiB live, 31.3MiB allocated; 4ms collecting garbage
Pruning

16 alts after pruning (13 fresh and 3 done)

PrunedKeptTotal
New27813291
Fresh000
Picked325
Done011
Total28116297
Accuracy
100.0%
Counts
297 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.1%
(*.f64 (cos.f64 x) (/.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(approx (/ (exp (neg y)) 2) (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)))) y))
100.0%
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
50.4%
(*.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
51.5%
(*.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
57.8%
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
56.1%
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
52.6%
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
36.1%
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) y))
65.2%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
60.1%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
58.5%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
54.2%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
31.2%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) y))
54.3%
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
38.5%
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
37.8%
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
Compiler

Compiled 776 to 534 computations (31.2% saved)

series76.0ms (2%)

Memory
-36.6MiB live, 28.6MiB allocated; 92ms collecting garbage
Counts
34 → 88
Calls
Call 1
Inputs
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
#s(approx (cos x) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y)
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
#s(literal 1/5040 binary64)
(*.f64 y y)
y
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) y))
(/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) y)
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
(/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y)
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y)
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 x x)
x
Outputs
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y)))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (- (+ (* -1/2 (/ (* (pow x 2) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y)) (* 1/2 (/ (exp y) y))) (* 1/2 (/ (exp (neg y)) y)))))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (- (+ (* 1/2 (/ (exp y) y)) (* (pow x 2) (+ (* -1/2 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y)) (* 1/24 (/ (* (pow x 2) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y))))) (* 1/2 (/ (exp (neg y)) y)))))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (- (+ (* 1/2 (/ (exp y) y)) (* (pow x 2) (+ (* -1/2 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y)) (* (pow x 2) (+ (* -1/720 (/ (* (pow x 2) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y)) (* 1/24 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y))))))) (* 1/2 (/ (exp (neg y)) y)))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (/ (* (cos x) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y)))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (cos x)))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (+ (cos x) (* 1/6 (* (pow y 2) (cos x))))))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 1))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 y))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2))))))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))))
#s(approx (* (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) y) #s(hole binary64 y))
#s(approx (* (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2))))))
#s(approx (* (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))
#s(approx (* (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(hole binary64 (+ 1/6 (* 1/120 (pow y 2)))))
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(hole binary64 (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
#s(approx (+ (* 1/5040 (* y y)) 1/120) #s(hole binary64 1/120))
#s(approx (+ (* 1/5040 (* y y)) 1/120) #s(hole binary64 (+ 1/120 (* 1/5040 (pow y 2)))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx y #s(hole binary64 y))
#s(approx (* (+ (* (* y y) 1/6) 1) y) #s(hole binary64 y))
#s(approx (* (+ (* (* y y) 1/6) 1) y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2))))))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) #s(hole binary64 y))
#s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2))))))
#s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))
#s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
#s(approx (+ (* 1/120 (* y y)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* 1/120 (* y y)) 1/6) #s(hole binary64 (+ 1/6 (* 1/120 (pow y 2)))))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y)))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))))
#s(approx (* (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) y) #s(hole binary64 (* 1/5040 (pow y 7))))
#s(approx (* (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) y) #s(hole binary64 (* (pow y 7) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))))
#s(approx (* (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) y) #s(hole binary64 (* (pow y 7) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))))
#s(approx (* (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) y) #s(hole binary64 (* (pow y 7) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* 1/5040 (pow y 6))))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))))
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(hole binary64 (* 1/5040 (pow y 4))))
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(hole binary64 (* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))))
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(hole binary64 (* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))))
#s(approx (+ (* 1/5040 (* y y)) 1/120) #s(hole binary64 (* 1/5040 (pow y 2))))
#s(approx (+ (* 1/5040 (* y y)) 1/120) #s(hole binary64 (* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))))
#s(approx (* (+ (* (* y y) 1/6) 1) y) #s(hole binary64 (* 1/6 (pow y 3))))
#s(approx (* (+ (* (* y y) 1/6) 1) y) #s(hole binary64 (* (pow y 3) (+ 1/6 (/ 1 (pow y 2))))))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (* 1/6 (pow y 2))))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))))
#s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) #s(hole binary64 (* 1/120 (pow y 5))))
#s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) #s(hole binary64 (* (pow y 5) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))))
#s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) #s(hole binary64 (* (pow y 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))))
#s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* 1/120 (pow y 4))))
#s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))))
#s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))))
#s(approx (+ (* 1/120 (* y y)) 1/6) #s(hole binary64 (* 1/120 (pow y 2))))
#s(approx (+ (* 1/120 (* y y)) 1/6) #s(hole binary64 (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (/ (* (cos x) (- (* 1/2 (exp y)) (* 1/2 (exp (* -1 y))))) y)))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (* -1 y)))) y)))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (- (* 1/2 (exp y)) (* 1/2 (exp (* -1 y))))))
#s(approx (* (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) y) #s(hole binary64 (* -1 (* (pow y 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040)))))
#s(approx (* (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) y) #s(hole binary64 (* -1 (* (pow y 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow y 2))) (pow y 4))) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))))))
#s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) #s(hole binary64 (* -1 (* (pow y 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow y 2))) (pow y 2))) 1/120)))))
Calls

6 calls:

TimeVariablePointExpression
63.0ms
y
@inf
((* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (cos x) 1 (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (* (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) y) (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (+ (* 1/5040 (* y y)) 1/120) 1/5040 (* y y) y 1/120 1/6 (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (* (+ (* (* y y) 1/6) 1) y) (+ (* (* y y) 1/6) 1) (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (+ (* 1/120 (* y y)) 1/6) (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (cos x) (+ (* -1/2 (* x x)) 1) -1/2 (* x x) x)
4.0ms
y
@-inf
((* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (cos x) 1 (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (* (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) y) (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (+ (* 1/5040 (* y y)) 1/120) 1/5040 (* y y) y 1/120 1/6 (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (* (+ (* (* y y) 1/6) 1) y) (+ (* (* y y) 1/6) 1) (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (+ (* 1/120 (* y y)) 1/6) (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (cos x) (+ (* -1/2 (* x x)) 1) -1/2 (* x x) x)
2.0ms
y
@0
((* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (cos x) 1 (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (* (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) y) (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (+ (* 1/5040 (* y y)) 1/120) 1/5040 (* y y) y 1/120 1/6 (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (* (+ (* (* y y) 1/6) 1) y) (+ (* (* y y) 1/6) 1) (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (+ (* 1/120 (* y y)) 1/6) (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (cos x) (+ (* -1/2 (* x x)) 1) -1/2 (* x x) x)
2.0ms
x
@inf
((* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (cos x) 1 (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (* (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) y) (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (+ (* 1/5040 (* y y)) 1/120) 1/5040 (* y y) y 1/120 1/6 (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (* (+ (* (* y y) 1/6) 1) y) (+ (* (* y y) 1/6) 1) (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (+ (* 1/120 (* y y)) 1/6) (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (cos x) (+ (* -1/2 (* x x)) 1) -1/2 (* x x) x)
2.0ms
x
@-inf
((* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (cos x) 1 (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (* (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) y) (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (+ (* 1/5040 (* y y)) 1/120) 1/5040 (* y y) y 1/120 1/6 (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (* (+ (* (* y y) 1/6) 1) y) (+ (* (* y y) 1/6) 1) (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (+ (* 1/120 (* y y)) 1/6) (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (cos x) (+ (* -1/2 (* x x)) 1) -1/2 (* x x) x)

rewrite174.0ms (4.5%)

Memory
8.4MiB live, 203.2MiB allocated; 31ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02992528
03342327
115552081
081922048
Stop Event
iter-limit
node-limit
iter-limit
Counts
122 → 366
Calls
Call 1
Inputs
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
#s(approx (cos x) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y)
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
#s(literal 1/5040 binary64)
(*.f64 y y)
y
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) y))
(/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) y)
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
(/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y)
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y)
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 x x)
x
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y)))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (- (+ (* -1/2 (/ (* (pow x 2) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y)) (* 1/2 (/ (exp y) y))) (* 1/2 (/ (exp (neg y)) y)))))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (- (+ (* 1/2 (/ (exp y) y)) (* (pow x 2) (+ (* -1/2 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y)) (* 1/24 (/ (* (pow x 2) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y))))) (* 1/2 (/ (exp (neg y)) y)))))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (- (+ (* 1/2 (/ (exp y) y)) (* (pow x 2) (+ (* -1/2 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y)) (* (pow x 2) (+ (* -1/720 (/ (* (pow x 2) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y)) (* 1/24 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y))))))) (* 1/2 (/ (exp (neg y)) y)))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (/ (* (cos x) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y)))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (cos x)))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (+ (cos x) (* 1/6 (* (pow y 2) (cos x))))))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 1))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 y))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2))))))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))))
#s(approx (* (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) y) #s(hole binary64 y))
#s(approx (* (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2))))))
#s(approx (* (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))
#s(approx (* (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(hole binary64 (+ 1/6 (* 1/120 (pow y 2)))))
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(hole binary64 (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
#s(approx (+ (* 1/5040 (* y y)) 1/120) #s(hole binary64 1/120))
#s(approx (+ (* 1/5040 (* y y)) 1/120) #s(hole binary64 (+ 1/120 (* 1/5040 (pow y 2)))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx y #s(hole binary64 y))
#s(approx (* (+ (* (* y y) 1/6) 1) y) #s(hole binary64 y))
#s(approx (* (+ (* (* y y) 1/6) 1) y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2))))))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) #s(hole binary64 y))
#s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2))))))
#s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))
#s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
#s(approx (+ (* 1/120 (* y y)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* 1/120 (* y y)) 1/6) #s(hole binary64 (+ 1/6 (* 1/120 (pow y 2)))))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y)))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))))
#s(approx (* (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) y) #s(hole binary64 (* 1/5040 (pow y 7))))
#s(approx (* (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) y) #s(hole binary64 (* (pow y 7) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))))
#s(approx (* (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) y) #s(hole binary64 (* (pow y 7) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))))
#s(approx (* (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) y) #s(hole binary64 (* (pow y 7) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* 1/5040 (pow y 6))))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))))
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(hole binary64 (* 1/5040 (pow y 4))))
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(hole binary64 (* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))))
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(hole binary64 (* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))))
#s(approx (+ (* 1/5040 (* y y)) 1/120) #s(hole binary64 (* 1/5040 (pow y 2))))
#s(approx (+ (* 1/5040 (* y y)) 1/120) #s(hole binary64 (* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))))
#s(approx (* (+ (* (* y y) 1/6) 1) y) #s(hole binary64 (* 1/6 (pow y 3))))
#s(approx (* (+ (* (* y y) 1/6) 1) y) #s(hole binary64 (* (pow y 3) (+ 1/6 (/ 1 (pow y 2))))))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (* 1/6 (pow y 2))))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))))
#s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) #s(hole binary64 (* 1/120 (pow y 5))))
#s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) #s(hole binary64 (* (pow y 5) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))))
#s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) #s(hole binary64 (* (pow y 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))))
#s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* 1/120 (pow y 4))))
#s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))))
#s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))))
#s(approx (+ (* 1/120 (* y y)) 1/6) #s(hole binary64 (* 1/120 (pow y 2))))
#s(approx (+ (* 1/120 (* y y)) 1/6) #s(hole binary64 (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (/ (* (cos x) (- (* 1/2 (exp y)) (* 1/2 (exp (* -1 y))))) y)))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (* -1 y)))) y)))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (- (* 1/2 (exp y)) (* 1/2 (exp (* -1 y))))))
#s(approx (* (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) y) #s(hole binary64 (* -1 (* (pow y 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040)))))
#s(approx (* (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) y) #s(hole binary64 (* -1 (* (pow y 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow y 2))) (pow y 4))) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))))))
#s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) #s(hole binary64 (* -1 (* (pow y 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow y 2))) (pow y 2))) 1/120)))))
Outputs
(*.f64 (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y) #s(approx (cos x) #s(literal 1 binary64)))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(/.f64 (neg.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))) (neg.f64 y))
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) y)
#s(approx (cos x) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (neg.f64 (neg.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) (neg.f64 y))
(/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y)
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)
(*.f64 y (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y) y) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y) y))) (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y) y)))
(/.f64 (-.f64 (*.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 y #s(literal 1 binary64))) (*.f64 (*.f64 y (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y)) (*.f64 y (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y)))) (-.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 y (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y) y) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) y) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y) y) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y) y)) (*.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y) y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y)) #s(literal 3 binary64))) (fma.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 y #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 y (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y)) (*.f64 y (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y))) (*.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 y (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y))))))
(fma.f64 y #s(literal 1 binary64) (*.f64 y (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y)))
(fma.f64 #s(literal 1 binary64) y (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y) y))
(-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y)) y))
(-.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 (neg.f64 y) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y)))
(+.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y) y))
(+.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 y (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 y y)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 (neg.f64 (*.f64 y y)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 y y)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 (*.f64 y y)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 (*.f64 y y)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 (neg.f64 (*.f64 y y)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 y y)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64))))))
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x
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#s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (-.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/6 binary64) (pow.f64 y #s(literal -4 binary64))) #s(literal -1/120 binary64)) (pow.f64 y #s(literal 4 binary64))))
#s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))
#s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal 1/120 binary64)) (*.f64 y y)))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (*.f64 (cos.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) y)))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) y))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))
#s(approx (* (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) y) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal 1/120 binary64)) (*.f64 y y))) #s(literal 1/5040 binary64)) (pow.f64 y #s(literal 7 binary64)))))
#s(approx (* (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) y) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1/6 binary64)) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/120 binary64) #s(literal 1/5040 binary64))) (pow.f64 y #s(literal 7 binary64)))))
#s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) (neg.f64 (*.f64 (-.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/6 binary64) (pow.f64 y #s(literal -4 binary64)))) #s(literal 1/120 binary64)) (pow.f64 y #s(literal 5 binary64)))))

eval139.0ms (3.6%)

Memory
2.9MiB live, 184.4MiB allocated; 43ms collecting garbage
Compiler

Compiled 26 598 to 2 792 computations (89.5% saved)

prune27.0ms (0.7%)

Memory
10.6MiB live, 55.7MiB allocated; 6ms collecting garbage
Pruning

20 alts after pruning (17 fresh and 3 done)

PrunedKeptTotal
New62711638
Fresh268
Picked505
Done033
Total63420654
Accuracy
100.0%
Counts
654 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.1%
(/.f64 (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) y)
50.1%
(*.f64 (cos.f64 x) (/.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(approx (/ (exp (neg y)) 2) (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)))) y))
100.0%
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
50.4%
(*.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
57.8%
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
52.6%
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
55.7%
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64)) y)) y))
36.1%
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) y)) y))
65.2%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
60.1%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
60.1%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
59.9%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
26.0%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) y))
59.1%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
57.8%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
49.9%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
31.2%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(literal 1 binary64)))
54.3%
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
38.5%
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
37.8%
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
Compiler

Compiled 1 124 to 772 computations (31.3% saved)

series22.0ms (0.6%)

Memory
-4.0MiB live, 38.6MiB allocated; 8ms collecting garbage
Counts
39 → 111
Calls
Call 1
Inputs
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
#s(approx (cos x) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y)
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y)
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(*.f64 y y)
y
#s(literal 1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(literal 1 binary64)))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(literal 1 binary64))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) y)) y))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 x x)
x
(/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) y)) y)
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) y))
#s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) y)
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
(/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y)
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y)
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))
(fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64))
(*.f64 #s(literal 1/5040 binary64) y)
Outputs
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y)))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (- (+ (* -1/2 (/ (* (pow x 2) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y)) (* 1/2 (/ (exp y) y))) (* 1/2 (/ (exp (neg y)) y)))))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (- (+ (* 1/2 (/ (exp y) y)) (* (pow x 2) (+ (* -1/2 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y)) (* 1/24 (/ (* (pow x 2) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y))))) (* 1/2 (/ (exp (neg y)) y)))))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (- (+ (* 1/2 (/ (exp y) y)) (* (pow x 2) (+ (* -1/2 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y)) (* (pow x 2) (+ (* -1/720 (/ (* (pow x 2) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y)) (* 1/24 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y))))))) (* 1/2 (/ (exp (neg y)) y)))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (/ (* (cos x) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y)))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (cos x)))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (+ (cos x) (* 1/6 (* (pow y 2) (cos x))))))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 1))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 y))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2))))))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))))
#s(approx (* (+ (* (+ (* (* (+ (* (* y y) 1/5040) 1/120) y) y) 1/6) (* y y)) 1) y) #s(hole binary64 y))
#s(approx (* (+ (* (+ (* (* (+ (* (* y y) 1/5040) 1/120) y) y) 1/6) (* y y)) 1) y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2))))))
#s(approx (* (+ (* (+ (* (* (+ (* (* y y) 1/5040) 1/120) y) y) 1/6) (* y y)) 1) y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))
#s(approx (* (+ (* (+ (* (* (+ (* (* y y) 1/5040) 1/120) y) y) 1/6) (* y y)) 1) y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))))
#s(approx (+ (* (+ (* (* (+ (* (* y y) 1/5040) 1/120) y) y) 1/6) (* y y)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (* (+ (* (* y y) 1/5040) 1/120) y) y) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (+ (* (+ (* (* (+ (* (* y y) 1/5040) 1/120) y) y) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
#s(approx (+ (* (+ (* (* (+ (* (* y y) 1/5040) 1/120) y) y) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))
#s(approx (+ (* (* (+ (* (* y y) 1/5040) 1/120) y) y) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (* (+ (* (* y y) 1/5040) 1/120) y) y) 1/6) #s(hole binary64 (+ 1/6 (* 1/120 (pow y 2)))))
#s(approx (+ (* (* (+ (* (* y y) 1/5040) 1/120) y) y) 1/6) #s(hole binary64 (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
#s(approx (* (+ (* (* y y) 1/5040) 1/120) y) #s(hole binary64 (* 1/120 y)))
#s(approx (* (+ (* (* y y) 1/5040) 1/120) y) #s(hole binary64 (* y (+ 1/120 (* 1/5040 (pow y 2))))))
#s(approx (+ (* (* y y) 1/5040) 1/120) #s(hole binary64 1/120))
#s(approx (+ (* (* y y) 1/5040) 1/120) #s(hole binary64 (+ 1/120 (* 1/5040 (pow y 2)))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx y #s(hole binary64 y))
#s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) #s(hole binary64 y))
#s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2))))))
#s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))
#s(approx (* (+ (* (* y y) 1/6) 1) y) #s(hole binary64 y))
#s(approx (* (+ (* (* y y) 1/6) 1) y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2))))))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (* (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) y) #s(hole binary64 y))
#s(approx (* (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2))))))
#s(approx (* (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))
#s(approx (* (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))))
#s(approx (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
#s(approx (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))
#s(approx (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) #s(hole binary64 (+ 1/6 (* 1/120 (pow y 2)))))
#s(approx (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) #s(hole binary64 (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
#s(approx (+ (* (* 1/5040 y) y) 1/120) #s(hole binary64 1/120))
#s(approx (+ (* (* 1/5040 y) y) 1/120) #s(hole binary64 (+ 1/120 (* 1/5040 (pow y 2)))))
#s(approx (* 1/5040 y) #s(hole binary64 (* 1/5040 y)))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y)))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))))
#s(approx (* (+ (* (+ (* (* (+ (* (* y y) 1/5040) 1/120) y) y) 1/6) (* y y)) 1) y) #s(hole binary64 (* 1/5040 (pow y 7))))
#s(approx (* (+ (* (+ (* (* (+ (* (* y y) 1/5040) 1/120) y) y) 1/6) (* y y)) 1) y) #s(hole binary64 (* (pow y 7) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))))
#s(approx (* (+ (* (+ (* (* (+ (* (* y y) 1/5040) 1/120) y) y) 1/6) (* y y)) 1) y) #s(hole binary64 (* (pow y 7) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))))
#s(approx (* (+ (* (+ (* (* (+ (* (* y y) 1/5040) 1/120) y) y) 1/6) (* y y)) 1) y) #s(hole binary64 (* (pow y 7) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))))
#s(approx (+ (* (+ (* (* (+ (* (* y y) 1/5040) 1/120) y) y) 1/6) (* y y)) 1) #s(hole binary64 (* 1/5040 (pow y 6))))
#s(approx (+ (* (+ (* (* (+ (* (* y y) 1/5040) 1/120) y) y) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))))
#s(approx (+ (* (+ (* (* (+ (* (* y y) 1/5040) 1/120) y) y) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))))
#s(approx (+ (* (+ (* (* (+ (* (* y y) 1/5040) 1/120) y) y) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))))
#s(approx (+ (* (* (+ (* (* y y) 1/5040) 1/120) y) y) 1/6) #s(hole binary64 (* 1/5040 (pow y 4))))
#s(approx (+ (* (* (+ (* (* y y) 1/5040) 1/120) y) y) 1/6) #s(hole binary64 (* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))))
#s(approx (+ (* (* (+ (* (* y y) 1/5040) 1/120) y) y) 1/6) #s(hole binary64 (* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))))
#s(approx (* (+ (* (* y y) 1/5040) 1/120) y) #s(hole binary64 (* 1/5040 (pow y 3))))
#s(approx (* (+ (* (* y y) 1/5040) 1/120) y) #s(hole binary64 (* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))))
#s(approx (+ (* (* y y) 1/5040) 1/120) #s(hole binary64 (* 1/5040 (pow y 2))))
#s(approx (+ (* (* y y) 1/5040) 1/120) #s(hole binary64 (* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))))
#s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) #s(hole binary64 (* 1/120 (pow y 5))))
#s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) #s(hole binary64 (* (pow y 5) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))))
#s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) #s(hole binary64 (* (pow y 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))))
#s(approx (* (+ (* (* y y) 1/6) 1) y) #s(hole binary64 (* 1/6 (pow y 3))))
#s(approx (* (+ (* (* y y) 1/6) 1) y) #s(hole binary64 (* (pow y 3) (+ 1/6 (/ 1 (pow y 2))))))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (* 1/6 (pow y 2))))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))))
#s(approx (* (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) y) #s(hole binary64 (* 1/5040 (pow y 7))))
#s(approx (* (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) y) #s(hole binary64 (* (pow y 7) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))))
#s(approx (* (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) y) #s(hole binary64 (* (pow y 7) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))))
#s(approx (* (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) y) #s(hole binary64 (* (pow y 7) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))))
#s(approx (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* 1/5040 (pow y 6))))
#s(approx (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))))
#s(approx (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))))
#s(approx (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))))
#s(approx (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) #s(hole binary64 (* 1/5040 (pow y 4))))
#s(approx (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) #s(hole binary64 (* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))))
#s(approx (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) #s(hole binary64 (* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))))
#s(approx (+ (* (* 1/5040 y) y) 1/120) #s(hole binary64 (* 1/5040 (pow y 2))))
#s(approx (+ (* (* 1/5040 y) y) 1/120) #s(hole binary64 (* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (/ (* (cos x) (- (* 1/2 (exp y)) (* 1/2 (exp (* -1 y))))) y)))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (* -1 y)))) y)))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (- (* 1/2 (exp y)) (* 1/2 (exp (* -1 y))))))
#s(approx (* (+ (* (+ (* (* (+ (* (* y y) 1/5040) 1/120) y) y) 1/6) (* y y)) 1) y) #s(hole binary64 (* -1 (* (pow y 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040)))))
#s(approx (* (+ (* (+ (* (* (+ (* (* y y) 1/5040) 1/120) y) y) 1/6) (* y y)) 1) y) #s(hole binary64 (* -1 (* (pow y 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow y 2))) (pow y 4))) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))))))
#s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) #s(hole binary64 (* -1 (* (pow y 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow y 2))) (pow y 2))) 1/120)))))
#s(approx (* (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) y) #s(hole binary64 (* -1 (* (pow y 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040)))))
#s(approx (* (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) y) #s(hole binary64 (* -1 (* (pow y 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow y 2))) (pow y 4))) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))))))
Calls

6 calls:

TimeVariablePointExpression
9.0ms
y
@-inf
((* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (cos x) 1 (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (* (+ (* (+ (* (* (+ (* (* y y) 1/5040) 1/120) y) y) 1/6) (* y y)) 1) y) (+ (* (+ (* (* (+ (* (* y y) 1/5040) 1/120) y) y) 1/6) (* y y)) 1) (+ (* (* (+ (* (* y y) 1/5040) 1/120) y) y) 1/6) (* (+ (* (* y y) 1/5040) 1/120) y) (+ (* (* y y) 1/5040) 1/120) (* y y) y 1/5040 1/120 1/6 (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (cos x) (+ (* -1/2 (* x x)) 1) -1/2 (* x x) x (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (* (+ (* (* y y) 1/6) 1) y) (+ (* (* y y) 1/6) 1) (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (* (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) y) (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (+ (* (* 1/5040 y) y) 1/120) (* 1/5040 y))
4.0ms
y
@inf
((* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (cos x) 1 (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (* (+ (* (+ (* (* (+ (* (* y y) 1/5040) 1/120) y) y) 1/6) (* y y)) 1) y) (+ (* (+ (* (* (+ (* (* y y) 1/5040) 1/120) y) y) 1/6) (* y y)) 1) (+ (* (* (+ (* (* y y) 1/5040) 1/120) y) y) 1/6) (* (+ (* (* y y) 1/5040) 1/120) y) (+ (* (* y y) 1/5040) 1/120) (* y y) y 1/5040 1/120 1/6 (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (cos x) (+ (* -1/2 (* x x)) 1) -1/2 (* x x) x (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (* (+ (* (* y y) 1/6) 1) y) (+ (* (* y y) 1/6) 1) (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (* (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) y) (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (+ (* (* 1/5040 y) y) 1/120) (* 1/5040 y))
2.0ms
y
@0
((* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (cos x) 1 (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (* (+ (* (+ (* (* (+ (* (* y y) 1/5040) 1/120) y) y) 1/6) (* y y)) 1) y) (+ (* (+ (* (* (+ (* (* y y) 1/5040) 1/120) y) y) 1/6) (* y y)) 1) (+ (* (* (+ (* (* y y) 1/5040) 1/120) y) y) 1/6) (* (+ (* (* y y) 1/5040) 1/120) y) (+ (* (* y y) 1/5040) 1/120) (* y y) y 1/5040 1/120 1/6 (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (cos x) (+ (* -1/2 (* x x)) 1) -1/2 (* x x) x (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (* (+ (* (* y y) 1/6) 1) y) (+ (* (* y y) 1/6) 1) (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (* (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) y) (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (+ (* (* 1/5040 y) y) 1/120) (* 1/5040 y))
2.0ms
x
@inf
((* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (cos x) 1 (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (* (+ (* (+ (* (* (+ (* (* y y) 1/5040) 1/120) y) y) 1/6) (* y y)) 1) y) (+ (* (+ (* (* (+ (* (* y y) 1/5040) 1/120) y) y) 1/6) (* y y)) 1) (+ (* (* (+ (* (* y y) 1/5040) 1/120) y) y) 1/6) (* (+ (* (* y y) 1/5040) 1/120) y) (+ (* (* y y) 1/5040) 1/120) (* y y) y 1/5040 1/120 1/6 (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (cos x) (+ (* -1/2 (* x x)) 1) -1/2 (* x x) x (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (* (+ (* (* y y) 1/6) 1) y) (+ (* (* y y) 1/6) 1) (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (* (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) y) (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (+ (* (* 1/5040 y) y) 1/120) (* 1/5040 y))
2.0ms
x
@-inf
((* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (cos x) 1 (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (* (+ (* (+ (* (* (+ (* (* y y) 1/5040) 1/120) y) y) 1/6) (* y y)) 1) y) (+ (* (+ (* (* (+ (* (* y y) 1/5040) 1/120) y) y) 1/6) (* y y)) 1) (+ (* (* (+ (* (* y y) 1/5040) 1/120) y) y) 1/6) (* (+ (* (* y y) 1/5040) 1/120) y) (+ (* (* y y) 1/5040) 1/120) (* y y) y 1/5040 1/120 1/6 (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (cos x) (+ (* -1/2 (* x x)) 1) -1/2 (* x x) x (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (* (+ (* (* y y) 1/6) 1) y) (+ (* (* y y) 1/6) 1) (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (* (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) y) (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (+ (* (* 1/5040 y) y) 1/120) (* 1/5040 y))

rewrite185.0ms (4.8%)

Memory
13.5MiB live, 252.7MiB allocated; 42ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03353322
03753096
116432844
082612764
Stop Event
iter-limit
node-limit
iter-limit
Counts
150 → 436
Calls
Call 1
Inputs
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
#s(approx (cos x) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y)
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y)
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(*.f64 y y)
y
#s(literal 1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(literal 1 binary64)))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(literal 1 binary64))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) y)) y))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 x x)
x
(/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) y)) y)
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) y))
#s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) y)
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
(/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y)
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y)
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))
(fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64))
(*.f64 #s(literal 1/5040 binary64) y)
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y)))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (- (+ (* -1/2 (/ (* (pow x 2) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y)) (* 1/2 (/ (exp y) y))) (* 1/2 (/ (exp (neg y)) y)))))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (- (+ (* 1/2 (/ (exp y) y)) (* (pow x 2) (+ (* -1/2 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y)) (* 1/24 (/ (* (pow x 2) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y))))) (* 1/2 (/ (exp (neg y)) y)))))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (- (+ (* 1/2 (/ (exp y) y)) (* (pow x 2) (+ (* -1/2 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y)) (* (pow x 2) (+ (* -1/720 (/ (* (pow x 2) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y)) (* 1/24 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y))))))) (* 1/2 (/ (exp (neg y)) y)))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (/ (* (cos x) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y)))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (cos x)))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (+ (cos x) (* 1/6 (* (pow y 2) (cos x))))))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 1))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 y))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2))))))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))))
#s(approx (* (+ (* (+ (* (* (+ (* (* y y) 1/5040) 1/120) y) y) 1/6) (* y y)) 1) y) #s(hole binary64 y))
#s(approx (* (+ (* (+ (* (* (+ (* (* y y) 1/5040) 1/120) y) y) 1/6) (* y y)) 1) y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2))))))
#s(approx (* (+ (* (+ (* (* (+ (* (* y y) 1/5040) 1/120) y) y) 1/6) (* y y)) 1) y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))
#s(approx (* (+ (* (+ (* (* (+ (* (* y y) 1/5040) 1/120) y) y) 1/6) (* y y)) 1) y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))))
#s(approx (+ (* (+ (* (* (+ (* (* y y) 1/5040) 1/120) y) y) 1/6) (* y y)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (* (+ (* (* y y) 1/5040) 1/120) y) y) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (+ (* (+ (* (* (+ (* (* y y) 1/5040) 1/120) y) y) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
#s(approx (+ (* (+ (* (* (+ (* (* y y) 1/5040) 1/120) y) y) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))
#s(approx (+ (* (* (+ (* (* y y) 1/5040) 1/120) y) y) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (* (+ (* (* y y) 1/5040) 1/120) y) y) 1/6) #s(hole binary64 (+ 1/6 (* 1/120 (pow y 2)))))
#s(approx (+ (* (* (+ (* (* y y) 1/5040) 1/120) y) y) 1/6) #s(hole binary64 (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
#s(approx (* (+ (* (* y y) 1/5040) 1/120) y) #s(hole binary64 (* 1/120 y)))
#s(approx (* (+ (* (* y y) 1/5040) 1/120) y) #s(hole binary64 (* y (+ 1/120 (* 1/5040 (pow y 2))))))
#s(approx (+ (* (* y y) 1/5040) 1/120) #s(hole binary64 1/120))
#s(approx (+ (* (* y y) 1/5040) 1/120) #s(hole binary64 (+ 1/120 (* 1/5040 (pow y 2)))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx y #s(hole binary64 y))
#s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) #s(hole binary64 y))
#s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2))))))
#s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))
#s(approx (* (+ (* (* y y) 1/6) 1) y) #s(hole binary64 y))
#s(approx (* (+ (* (* y y) 1/6) 1) y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2))))))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (* (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) y) #s(hole binary64 y))
#s(approx (* (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2))))))
#s(approx (* (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))
#s(approx (* (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))))
#s(approx (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
#s(approx (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))
#s(approx (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) #s(hole binary64 (+ 1/6 (* 1/120 (pow y 2)))))
#s(approx (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) #s(hole binary64 (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
#s(approx (+ (* (* 1/5040 y) y) 1/120) #s(hole binary64 1/120))
#s(approx (+ (* (* 1/5040 y) y) 1/120) #s(hole binary64 (+ 1/120 (* 1/5040 (pow y 2)))))
#s(approx (* 1/5040 y) #s(hole binary64 (* 1/5040 y)))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y)))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))))
#s(approx (* (+ (* (+ (* (* (+ (* (* y y) 1/5040) 1/120) y) y) 1/6) (* y y)) 1) y) #s(hole binary64 (* 1/5040 (pow y 7))))
#s(approx (* (+ (* (+ (* (* (+ (* (* y y) 1/5040) 1/120) y) y) 1/6) (* y y)) 1) y) #s(hole binary64 (* (pow y 7) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))))
#s(approx (* (+ (* (+ (* (* (+ (* (* y y) 1/5040) 1/120) y) y) 1/6) (* y y)) 1) y) #s(hole binary64 (* (pow y 7) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))))
#s(approx (* (+ (* (+ (* (* (+ (* (* y y) 1/5040) 1/120) y) y) 1/6) (* y y)) 1) y) #s(hole binary64 (* (pow y 7) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))))
#s(approx (+ (* (+ (* (* (+ (* (* y y) 1/5040) 1/120) y) y) 1/6) (* y y)) 1) #s(hole binary64 (* 1/5040 (pow y 6))))
#s(approx (+ (* (+ (* (* (+ (* (* y y) 1/5040) 1/120) y) y) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))))
#s(approx (+ (* (+ (* (* (+ (* (* y y) 1/5040) 1/120) y) y) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))))
#s(approx (+ (* (+ (* (* (+ (* (* y y) 1/5040) 1/120) y) y) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))))
#s(approx (+ (* (* (+ (* (* y y) 1/5040) 1/120) y) y) 1/6) #s(hole binary64 (* 1/5040 (pow y 4))))
#s(approx (+ (* (* (+ (* (* y y) 1/5040) 1/120) y) y) 1/6) #s(hole binary64 (* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))))
#s(approx (+ (* (* (+ (* (* y y) 1/5040) 1/120) y) y) 1/6) #s(hole binary64 (* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))))
#s(approx (* (+ (* (* y y) 1/5040) 1/120) y) #s(hole binary64 (* 1/5040 (pow y 3))))
#s(approx (* (+ (* (* y y) 1/5040) 1/120) y) #s(hole binary64 (* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))))
#s(approx (+ (* (* y y) 1/5040) 1/120) #s(hole binary64 (* 1/5040 (pow y 2))))
#s(approx (+ (* (* y y) 1/5040) 1/120) #s(hole binary64 (* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))))
#s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) #s(hole binary64 (* 1/120 (pow y 5))))
#s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) #s(hole binary64 (* (pow y 5) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))))
#s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) #s(hole binary64 (* (pow y 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))))
#s(approx (* (+ (* (* y y) 1/6) 1) y) #s(hole binary64 (* 1/6 (pow y 3))))
#s(approx (* (+ (* (* y y) 1/6) 1) y) #s(hole binary64 (* (pow y 3) (+ 1/6 (/ 1 (pow y 2))))))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (* 1/6 (pow y 2))))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))))
#s(approx (* (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) y) #s(hole binary64 (* 1/5040 (pow y 7))))
#s(approx (* (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) y) #s(hole binary64 (* (pow y 7) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))))
#s(approx (* (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) y) #s(hole binary64 (* (pow y 7) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))))
#s(approx (* (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) y) #s(hole binary64 (* (pow y 7) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))))
#s(approx (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* 1/5040 (pow y 6))))
#s(approx (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))))
#s(approx (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))))
#s(approx (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))))
#s(approx (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) #s(hole binary64 (* 1/5040 (pow y 4))))
#s(approx (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) #s(hole binary64 (* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))))
#s(approx (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) #s(hole binary64 (* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))))
#s(approx (+ (* (* 1/5040 y) y) 1/120) #s(hole binary64 (* 1/5040 (pow y 2))))
#s(approx (+ (* (* 1/5040 y) y) 1/120) #s(hole binary64 (* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (/ (* (cos x) (- (* 1/2 (exp y)) (* 1/2 (exp (* -1 y))))) y)))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (* -1 y)))) y)))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (- (* 1/2 (exp y)) (* 1/2 (exp (* -1 y))))))
#s(approx (* (+ (* (+ (* (* (+ (* (* y y) 1/5040) 1/120) y) y) 1/6) (* y y)) 1) y) #s(hole binary64 (* -1 (* (pow y 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040)))))
#s(approx (* (+ (* (+ (* (* (+ (* (* y y) 1/5040) 1/120) y) y) 1/6) (* y y)) 1) y) #s(hole binary64 (* -1 (* (pow y 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow y 2))) (pow y 4))) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))))))
#s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) #s(hole binary64 (* -1 (* (pow y 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow y 2))) (pow y 2))) 1/120)))))
#s(approx (* (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) y) #s(hole binary64 (* -1 (* (pow y 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040)))))
#s(approx (* (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) y) #s(hole binary64 (* -1 (* (pow y 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow y 2))) (pow y 4))) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))))))
Outputs
(*.f64 (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y) #s(approx (cos x) #s(literal 1 binary64)))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(/.f64 (neg.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))) (neg.f64 y))
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) y)
#s(approx (cos x) #s(literal 1 binary64))
#s(literal 1 binary64)
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#s(approx (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) #s(literal 1/6 binary64))
#s(approx (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)))
#s(approx (* (+ (* (* y y) 1/5040) 1/120) y) (*.f64 #s(literal 1/120 binary64) y))
#s(approx (* (+ (* (* y y) 1/5040) 1/120) y) (*.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) y))
#s(approx (+ (* (* 1/5040 y) y) 1/120) #s(literal 1/120 binary64))
#s(approx (+ (* (* 1/5040 y) y) 1/120) (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)))
#s(approx (* y y) (*.f64 y y))
#s(approx y y)
#s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) y)
#s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))
#s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))
#s(approx (* (+ (* (* y y) 1/6) 1) y) y)
#s(approx (* (+ (* (* y y) 1/6) 1) y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))
#s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64))
#s(approx (+ (* (* y y) 1/6) 1) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
#s(approx (* (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) y) y)
#s(approx (* (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))
#s(approx (* (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) y) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))
#s(approx (* (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))
#s(approx (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) #s(literal 1/6 binary64))
#s(approx (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)))
#s(approx (+ (* (* 1/5040 y) y) 1/120) #s(literal 1/120 binary64))
#s(approx (+ (* (* 1/5040 y) y) 1/120) (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)))
#s(approx (* 1/5040 y) (*.f64 #s(literal 1/5040 binary64) y))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) y))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))
#s(approx (* (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) y) (*.f64 (pow.f64 y #s(literal 7 binary64)) #s(literal 1/5040 binary64)))
#s(approx (* (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) y) (*.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/120 binary64) #s(literal 1/5040 binary64)) (pow.f64 y #s(literal 7 binary64))))
#s(approx (* (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) y) (*.f64 (+.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 1/5040 binary64)) (pow.f64 y #s(literal 7 binary64))))
#s(approx (* (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) y) (*.f64 (+.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/120 binary64) (pow.f64 y #s(literal -6 binary64)))) (pow.f64 y #s(literal 7 binary64))))
#s(approx (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/5040 binary64)))
#s(approx (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) (*.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/120 binary64) #s(literal 1/5040 binary64))))
#s(approx (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) (*.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 1/5040 binary64))))
#s(approx (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) (*.f64 (+.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/120 binary64) (pow.f64 y #s(literal -6 binary64)))) (pow.f64 y #s(literal 6 binary64))))
#s(approx (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/5040 binary64)))
#s(approx (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (*.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/120 binary64) #s(literal 1/5040 binary64))))
#s(approx (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (*.f64 (+.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 1/5040 binary64)) (pow.f64 y #s(literal 4 binary64))))
#s(approx (* (+ (* (* y y) 1/5040) 1/120) y) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/5040 binary64)))
#s(approx (* (+ (* (* y y) 1/5040) 1/120) y) (*.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/120 binary64) #s(literal 1/5040 binary64))))
#s(approx (+ (* (* 1/5040 y) y) 1/120) (*.f64 (*.f64 #s(literal 1/5040 binary64) y) y))
#s(approx (+ (* (* 1/5040 y) y) 1/120) (*.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/120 binary64) #s(literal 1/5040 binary64)) (*.f64 y y)))
#s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) (*.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/120 binary64)))
#s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) (*.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal 1/120 binary64)) (pow.f64 y #s(literal 5 binary64))))
#s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) (*.f64 (-.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/6 binary64) (pow.f64 y #s(literal -4 binary64))) #s(literal -1/120 binary64)) (pow.f64 y #s(literal 5 binary64))))
#s(approx (* (+ (* (* y y) 1/6) 1) y) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64)))
#s(approx (* (+ (* (* y y) 1/6) 1) y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) y))
#s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))
#s(approx (+ (* (* y y) 1/6) 1) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
#s(approx (* (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) y) (*.f64 (pow.f64 y #s(literal 7 binary64)) #s(literal 1/5040 binary64)))
#s(approx (* (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) y) (*.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/120 binary64) #s(literal 1/5040 binary64)) (pow.f64 y #s(literal 7 binary64))))
#s(approx (* (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) y) (*.f64 (+.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 1/5040 binary64)) (pow.f64 y #s(literal 7 binary64))))
#s(approx (* (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) y) (*.f64 (+.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/120 binary64) (pow.f64 y #s(literal -6 binary64)))) (pow.f64 y #s(literal 7 binary64))))
#s(approx (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/5040 binary64)))
#s(approx (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) (*.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/120 binary64) #s(literal 1/5040 binary64))))
#s(approx (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) (*.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 1/5040 binary64))))
#s(approx (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) (*.f64 (+.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/120 binary64) (pow.f64 y #s(literal -6 binary64)))) (pow.f64 y #s(literal 6 binary64))))
#s(approx (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/5040 binary64)))
#s(approx (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (*.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/120 binary64) #s(literal 1/5040 binary64))))
#s(approx (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (*.f64 (+.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 1/5040 binary64)) (pow.f64 y #s(literal 4 binary64))))
#s(approx (+ (* (* 1/5040 y) y) 1/120) (*.f64 (*.f64 #s(literal 1/5040 binary64) y) y))
#s(approx (+ (* (* 1/5040 y) y) 1/120) (*.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/120 binary64) #s(literal 1/5040 binary64)) (*.f64 y y)))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (*.f64 (cos.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) y)))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) y))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))
#s(approx (* (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) y) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal 1/120 binary64)) (*.f64 y y))) #s(literal 1/5040 binary64)) (pow.f64 y #s(literal 7 binary64)))))
#s(approx (* (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) y) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1/6 binary64)) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/120 binary64) #s(literal 1/5040 binary64))) (pow.f64 y #s(literal 7 binary64)))))
#s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) (neg.f64 (*.f64 (-.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/6 binary64) (pow.f64 y #s(literal -4 binary64)))) #s(literal 1/120 binary64)) (pow.f64 y #s(literal 5 binary64)))))
#s(approx (* (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) y) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal 1/120 binary64)) (*.f64 y y))) #s(literal 1/5040 binary64)) (pow.f64 y #s(literal 7 binary64)))))
#s(approx (* (+ (* (+ (* (+ (* (* 1/5040 y) y) 1/120) (* y y)) 1/6) (* y y)) 1) y) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1/6 binary64)) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/120 binary64) #s(literal 1/5040 binary64))) (pow.f64 y #s(literal 7 binary64)))))

eval99.0ms (2.5%)

Memory
-9.3MiB live, 97.9MiB allocated; 33ms collecting garbage
Compiler

Compiled 20 844 to 2 402 computations (88.5% saved)

prune26.0ms (0.7%)

Memory
0.1MiB live, 46.4MiB allocated; 3ms collecting garbage
Pruning

21 alts after pruning (16 fresh and 5 done)

PrunedKeptTotal
New4846490
Fresh21012
Picked325
Done033
Total48921510
Accuracy
100.0%
Counts
510 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
38.6%
(/.f64 (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) y))) y)
50.1%
(*.f64 (cos.f64 x) (/.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(approx (/ (exp (neg y)) 2) (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)))) y))
100.0%
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
50.4%
(*.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
57.8%
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
55.7%
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64)) y)) y))
26.2%
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) y))
9.4%
(*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) y)) y))
65.2%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
60.1%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 y #s(literal 1/120 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/5040 binary64) y) y) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
60.1%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
59.9%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/5040 y) y) 1/120) (*.f64 (*.f64 #s(literal 1/5040 binary64) y) y)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
26.0%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) y))
59.1%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
59.1%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
57.8%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
49.9%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
31.2%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(literal 1 binary64)))
54.3%
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
38.5%
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
37.8%
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
Compiler

Compiled 1 686 to 632 computations (62.5% saved)

regimes73.0ms (1.9%)

Memory
7.7MiB live, 53.4MiB allocated; 4ms collecting garbage
Counts
36 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) y))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) y)) y))
(/.f64 (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) y))) y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/5040 y) y) 1/120) (*.f64 (*.f64 #s(literal 1/5040 binary64) y) y)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(/.f64 (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 y #s(literal 1/120 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/5040 binary64) y) y) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (cos.f64 x) (/.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(approx (/ (exp (neg y)) 2) (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)))) y))
(*.f64 (cos.f64 x) (/.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))) y))
Outputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Calls

5 calls:

38.0ms
x
9.0ms
y
9.0ms
(cos.f64 x)
8.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
7.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
100.0%1(/.f64 (sinh.f64 y) y)
100.0%1(cos.f64 x)
100.0%1(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
100.0%1x
100.0%1y
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes60.0ms (1.5%)

Memory
7.6MiB live, 57.5MiB allocated; 8ms collecting garbage
Counts
33 → 3
Calls
Call 1
Inputs
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) y))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) y)) y))
(/.f64 (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) y))) y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/5040 y) y) 1/120) (*.f64 (*.f64 #s(literal 1/5040 binary64) y) y)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(/.f64 (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 y #s(literal 1/120 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/5040 binary64) y) y) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y))
Outputs
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y))
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
Calls

5 calls:

28.0ms
x
9.0ms
y
8.0ms
(cos.f64 x)
7.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
6.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
88.0%2(/.f64 (sinh.f64 y) y)
91.7%2(cos.f64 x)
99.8%3(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
91.1%2x
97.4%5y
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes12.0ms (0.3%)

Memory
-28.2MiB live, 15.7MiB allocated; 4ms collecting garbage
Counts
32 → 3
Calls
Call 1
Inputs
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) y))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) y)) y))
(/.f64 (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) y))) y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/5040 y) y) 1/120) (*.f64 (*.f64 #s(literal 1/5040 binary64) y) y)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(/.f64 (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 y #s(literal 1/120 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/5040 binary64) y) y) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
Calls

1 calls:

10.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
99.4%3(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes8.0ms (0.2%)

Memory
14.7MiB live, 14.7MiB allocated; 0ms collecting garbage
Counts
30 → 3
Calls
Call 1
Inputs
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) y))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) y)) y))
(/.f64 (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) y))) y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/5040 y) y) 1/120) (*.f64 (*.f64 #s(literal 1/5040 binary64) y) y)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(/.f64 (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 y #s(literal 1/120 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/5040 binary64) y) y) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
Outputs
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
Calls

1 calls:

7.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
94.3%3(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes39.0ms (1%)

Memory
22.4MiB live, 66.1MiB allocated; 5ms collecting garbage
Counts
29 → 2
Calls
Call 1
Inputs
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) y))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) y)) y))
(/.f64 (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) y))) y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/5040 y) y) 1/120) (*.f64 (*.f64 #s(literal 1/5040 binary64) y) y)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(/.f64 (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 y #s(literal 1/120 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/5040 binary64) y) y) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
Outputs
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
Calls

5 calls:

10.0ms
(cos.f64 x)
8.0ms
y
8.0ms
x
6.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
5.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
60.1%1(/.f64 (sinh.f64 y) y)
60.1%1x
71.9%2(cos.f64 x)
63.3%3y
71.9%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes17.0ms (0.4%)

Memory
-14.3MiB live, 30.8MiB allocated; 3ms collecting garbage
Counts
28 → 2
Calls
Call 1
Inputs
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) y))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) y)) y))
(/.f64 (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) y))) y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/5040 y) y) 1/120) (*.f64 (*.f64 #s(literal 1/5040 binary64) y) y)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(/.f64 (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 y #s(literal 1/120 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/5040 binary64) y) y) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
Outputs
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
Calls

2 calls:

9.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
7.0ms
(cos.f64 x)
Results
AccuracySegmentsBranch
71.5%2(cos.f64 x)
71.5%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 9 to 9 computations (0% saved)

regimes12.0ms (0.3%)

Memory
23.7MiB live, 23.7MiB allocated; 0ms collecting garbage
Counts
22 → 2
Calls
Call 1
Inputs
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) y))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) y)) y))
(/.f64 (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) y))) y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/5040 y) y) 1/120) (*.f64 (*.f64 #s(literal 1/5040 binary64) y) y)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64)) y)) y))
Outputs
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
Calls

2 calls:

6.0ms
(cos.f64 x)
5.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
71.2%2(cos.f64 x)
71.2%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 9 to 9 computations (0% saved)

regimes15.0ms (0.4%)

Memory
-30.1MiB live, 24.6MiB allocated; 7ms collecting garbage
Counts
21 → 2
Calls
Call 1
Inputs
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) y))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) y)) y))
(/.f64 (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) y))) y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/5040 y) y) 1/120) (*.f64 (*.f64 #s(literal 1/5040 binary64) y) y)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
Outputs
(*.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
Calls

2 calls:

8.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
5.0ms
(cos.f64 x)
Results
AccuracySegmentsBranch
71.1%2(cos.f64 x)
71.1%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 9 to 9 computations (0% saved)

regimes10.0ms (0.3%)

Memory
20.4MiB live, 20.4MiB allocated; 0ms collecting garbage
Counts
19 → 2
Calls
Call 1
Inputs
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) y))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) y)) y))
(/.f64 (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) y))) y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
Calls

2 calls:

5.0ms
(cos.f64 x)
4.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
70.3%2(cos.f64 x)
70.3%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 9 to 9 computations (0% saved)

regimes11.0ms (0.3%)

Memory
-30.6MiB live, 16.0MiB allocated; 2ms collecting garbage
Counts
18 → 2
Calls
Call 1
Inputs
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) y))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) y)) y))
(/.f64 (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) y))) y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
Outputs
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
Calls

2 calls:

5.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
5.0ms
(cos.f64 x)
Results
AccuracySegmentsBranch
70.0%2(cos.f64 x)
70.0%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 9 to 9 computations (0% saved)

regimes10.0ms (0.2%)

Memory
16.9MiB live, 16.9MiB allocated; 0ms collecting garbage
Counts
17 → 2
Calls
Call 1
Inputs
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) y))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) y)) y))
(/.f64 (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) y))) y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
Outputs
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
Calls

2 calls:

4.0ms
(cos.f64 x)
4.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
69.8%2(cos.f64 x)
69.8%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 9 to 9 computations (0% saved)

regimes9.0ms (0.2%)

Memory
15.0MiB live, 15.0MiB allocated; 0ms collecting garbage
Counts
15 → 2
Calls
Call 1
Inputs
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) y))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) y)) y))
(/.f64 (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) y))) y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
Outputs
(/.f64 (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) y))) y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
Calls

2 calls:

4.0ms
(cos.f64 x)
4.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
69.7%2(cos.f64 x)
69.7%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 9 to 9 computations (0% saved)

regimes9.0ms (0.2%)

Memory
-33.0MiB live, 12.8MiB allocated; 3ms collecting garbage
Counts
12 → 2
Calls
Call 1
Inputs
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) y))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) y)) y))
(/.f64 (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) y))) y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
Outputs
(/.f64 (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) y))) y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
Calls

2 calls:

5.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
3.0ms
(cos.f64 x)
Results
AccuracySegmentsBranch
68.4%2(cos.f64 x)
68.4%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 9 to 9 computations (0% saved)

regimes5.0ms (0.1%)

Memory
8.1MiB live, 8.1MiB allocated; 0ms collecting garbage
Counts
8 → 2
Calls
Call 1
Inputs
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) y))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) y)) y))
Outputs
(*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
Calls

2 calls:

3.0ms
(cos.f64 x)
2.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
65.8%2(cos.f64 x)
65.8%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 9 to 9 computations (0% saved)

regimes10.0ms (0.2%)

Memory
18.4MiB live, 18.4MiB allocated; 0ms collecting garbage
Counts
5 → 2
Calls
Call 1
Inputs
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) y))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) y)) y))
Outputs
(*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
Calls

5 calls:

2.0ms
y
2.0ms
x
2.0ms
(cos.f64 x)
2.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
1.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
52.0%2x
49.9%1(/.f64 (sinh.f64 y) y)
49.9%1y
57.9%2(cos.f64 x)
57.9%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes5.0ms (0.1%)

Memory
10.3MiB live, 10.3MiB allocated; 0ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) y))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
Calls

3 calls:

2.0ms
x
2.0ms
(cos.f64 x)
2.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
49.9%1x
49.9%1(cos.f64 x)
49.9%1(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 10 to 11 computations (-10% saved)

regimes7.0ms (0.2%)

Memory
-33.6MiB live, 12.3MiB allocated; 3ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(literal 1 binary64)))
Outputs
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(literal 1 binary64)))
Calls

5 calls:

2.0ms
(/.f64 (sinh.f64 y) y)
1.0ms
x
1.0ms
y
1.0ms
(cos.f64 x)
1.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
31.2%1(cos.f64 x)
31.2%1(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
31.2%1y
31.2%1(/.f64 (sinh.f64 y) y)
31.2%1x
Compiler

Compiled 15 to 17 computations (-13.3% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000000000000002
1.0000000000000686
0.0ms
-inf
-0.9993897017616247
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000000000000002
1.0000000000000686
0.0ms
-inf
-0.9993897017616247
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999999999999
1.0
0.0ms
-inf
-0.9993897017616247
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.0097265158930193
0.05504162761924422
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.0097265158930193
0.05504162761924422
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.0097265158930193
0.05504162761924422
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.0097265158930193
0.05504162761924422
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.0097265158930193
0.05504162761924422
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.0097265158930193
0.05504162761924422
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.10929353743757717
-0.0869479550751672
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.0097265158930193
0.05504162761924422
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.0097265158930193
0.05504162761924422
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.0097265158930193
0.05504162761924422
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.0097265158930193
0.05504162761924422
Compiler

Compiled 10 to 11 computations (-10% saved)

derivations978.0ms (25.1%)

Memory
-99.9MiB live, 374.5MiB allocated; 788ms collecting garbage
Stop Event
fuel
Compiler

Compiled 1 210 to 151 computations (87.5% saved)

preprocess190.0ms (4.9%)

Memory
29.4MiB live, 168.1MiB allocated; 25ms collecting garbage
Remove

(abs x)

Compiler

Compiled 4 854 to 1 630 computations (66.4% saved)

end0.0ms (0%)

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

Profiling

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