Linear.Quaternion:$csin from linear-1.19.1.3

Time bar (total: 3.8s)

start0.0ms (0%)

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

analyze15.0ms (0.4%)

Memory
22.6MiB live, 22.6MiB 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)

sample1.1s (30%)

Memory
65.2MiB live, 1 172.4MiB allocated; 328ms collecting garbage
Samples
899.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 627.0ms
ival-cos: 486.0ms (77.5% of total)
ival-sinh: 65.0ms (10.4% of total)
ival-div!: 42.0ms (6.7% of total)
ival-mult!: 33.0ms (5.3% of total)
adjust: 2.0ms (0.3% of total)
Bogosity

preprocess82.0ms (2.1%)

Memory
-36.9MiB live, 52.8MiB allocated; 16ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01944
16344
222844
383544
4632544
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)

(abs y)

Compiler

Compiled 14 to 12 computations (14.3% saved)

series23.0ms (0.6%)

Memory
43.3MiB live, 43.3MiB allocated; 0ms collecting garbage
Counts
6 → 22
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) (* 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 (* 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 (sinh y) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
Calls

6 calls:

TimeVariablePointExpression
7.0ms
y
@-inf
((* (cos x) (/ (sinh y) y)) (cos x) x (/ (sinh y) y) (sinh y) y)
4.0ms
y
@inf
((* (cos x) (/ (sinh y) y)) (cos x) x (/ (sinh y) y) (sinh y) y)
3.0ms
x
@inf
((* (cos x) (/ (sinh y) y)) (cos x) x (/ (sinh y) y) (sinh y) y)
3.0ms
y
@0
((* (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)

rewrite285.0ms (7.5%)

Memory
-37.4MiB live, 251.6MiB allocated; 138ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0113479
0117467
1650430
05994402
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
28 → 49
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) (* 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 (* 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 (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 (cos.f64 x) (sinh.f64 (neg.f64 y))) (neg.f64 y))
(/.f64 (*.f64 (sinh.f64 (neg.f64 y)) (cos.f64 x)) (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)
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) 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)))))
(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 y) (neg.f64 y)))
(neg.f64 (/.f64 (sinh.f64 (neg.f64 y)) y))
(/.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) #s(literal 2 binary64)))
(/.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 y) #s(literal 3 binary64)))) (*.f64 (+.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64))) #s(literal 1 binary64)) (exp.f64 (+.f64 y y))) #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 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) x) x) #s(literal -1/4 binary64) (*.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 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) x) x) #s(literal 1/48 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) y) 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 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) x) x) #s(literal -1/1440 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) y) x) x (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal -1/4 binary64))) (*.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 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)) 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)) (*.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 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (cos.f64 x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) y) y) y) y)))
#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 (*.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)) 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 (*.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)) y) y #s(literal 1 binary64)) y))
#s(approx (sinh y) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))

eval5.0ms (0.1%)

Memory
10.2MiB live, 10.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 712 to 203 computations (71.5% saved)

prune4.0ms (0.1%)

Memory
8.8MiB live, 8.8MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New37643
Fresh000
Picked011
Done000
Total37744
Accuracy
100.0%
Counts
44 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.2%
(*.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))
57.5%
(*.f64 (cos.f64 x) (/.f64 #s(approx (sinh y) y) y))
81.0%
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
57.5%
(*.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))) (/.f64 (sinh.f64 y) y))
63.4%
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y))
59.2%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 169 to 132 computations (21.9% saved)

series36.0ms (0.9%)

Memory
-23.2MiB live, 21.9MiB allocated; 6ms collecting garbage
Counts
28 → 35
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)
(*.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 #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 (sinh.f64 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)))
(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 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
(*.f64 (cos.f64 x) (/.f64 #s(approx (sinh y) y) y))
(/.f64 #s(approx (sinh y) y) y)
#s(approx (sinh 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 (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (* 1/24 (* x x)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* 1/24 (* x x)) 1/2) #s(hole binary64 (- (* 1/24 (pow x 2)) 1/2)))
#s(approx (* 1/24 (* x x)) #s(hole binary64 (* 1/24 (pow x 2))))
#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 (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* 1/24 (pow x 4))))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (* 1/24 (* x x)) 1/2) #s(hole binary64 (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#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 (* 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) #s(hole binary64 (pow y 2)))
#s(approx 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 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))))))
Calls

6 calls:

TimeVariablePointExpression
27.0ms
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) (sinh y) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* -1/2 (* x x)) 1) -1/2 (* x x) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (- (* 1/24 (* x x)) 1/2) (* 1/24 (* x x)) 1/24 1/2 (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (sinh 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) (sinh y) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* -1/2 (* x x)) 1) -1/2 (* x x) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (- (* 1/24 (* x x)) 1/2) (* 1/24 (* x x)) 1/24 1/2 (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (sinh y))
2.0ms
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) (sinh y) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* -1/2 (* x x)) 1) -1/2 (* x x) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (- (* 1/24 (* x x)) 1/2) (* 1/24 (* x x)) 1/24 1/2 (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (sinh 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) (sinh y) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* -1/2 (* x x)) 1) -1/2 (* x x) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (- (* 1/24 (* x x)) 1/2) (* 1/24 (* x x)) 1/24 1/2 (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (sinh y))
1.0ms
x
@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) (sinh y) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* -1/2 (* x x)) 1) -1/2 (* x x) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (- (* 1/24 (* x x)) 1/2) (* 1/24 (* x x)) 1/24 1/2 (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (sinh y))

rewrite267.0ms (7%)

Memory
37.1MiB live, 356.1MiB allocated; 74ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0169839
0200811
1924768
07842730
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
63 → 268
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)
(*.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 #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 (sinh.f64 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)))
(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 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
(*.f64 (cos.f64 x) (/.f64 #s(approx (sinh y) y) y))
(/.f64 #s(approx (sinh y) y) y)
#s(approx (sinh 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 (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (* 1/24 (* x x)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* 1/24 (* x x)) 1/2) #s(hole binary64 (- (* 1/24 (pow x 2)) 1/2)))
#s(approx (* 1/24 (* x x)) #s(hole binary64 (* 1/24 (pow x 2))))
#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 (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* 1/24 (pow x 4))))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (* 1/24 (* x x)) 1/2) #s(hole binary64 (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#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 (* 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) #s(hole binary64 (pow y 2)))
#s(approx 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 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))))))
Outputs
(*.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 (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) (cos.f64 x))
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) 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)))))
(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 (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (fabs.f64 y)) (fabs.f64 y))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (neg.f64 y)) (neg.f64 y))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y)
(*.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64))))
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y))
(*.f64 (*.f64 y y) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)))
(*.f64 y (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64))))
(/.f64 (*.f64 (*.f64 y y) (-.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
(/.f64 (*.f64 (*.f64 y y) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/216 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) #s(literal 1/36 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) (*.f64 y y)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
(/.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/216 binary64)) (*.f64 y y)) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) #s(literal 1/36 binary64)))
(/.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 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (fabs.f64 y)) (fabs.f64 y) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (neg.f64 y)) (neg.f64 y) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))
(fma.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 y (*.f64 (*.f64 #s(literal 1/6 binary64) y) #s(literal 1 binary64)) #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 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))))
(-.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
(-.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 y y)))
(-.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 y) y) #s(literal 1/6 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (*.f64 #s(literal 1/6 binary64) y)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
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(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64))))
(-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x)) x))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) x)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) x)))))
(+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) x))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 (*.f64 x x) #s(literal 1/48 binary64) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 (*.f64 x x) #s(literal 1/48 binary64) #s(literal 1/4 binary64))))
(fma.f64 (*.f64 #s(literal 1/24 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal -1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/24 binary64) (neg.f64 x)) (neg.f64 x) #s(literal -1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(fma.f64 x (*.f64 #s(literal 1/24 binary64) x) #s(literal -1/2 binary64))
(-.f64 (/.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 (*.f64 x x) #s(literal 1/48 binary64) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 (*.f64 x x) #s(literal 1/48 binary64) #s(literal 1/4 binary64)))))
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(*.f64 (*.f64 #s(literal 1/24 binary64) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 #s(literal 1/24 binary64) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 #s(literal 1/24 binary64) x) x)
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/24 binary64)))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/24 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
(*.f64 x (*.f64 #s(literal 1/24 binary64) x))
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
(*.f64 (/.f64 #s(approx (sinh y) y) y) (cos.f64 x))
(*.f64 (cos.f64 x) (/.f64 #s(approx (sinh y) y) y))
(/.f64 (*.f64 (cos.f64 x) (neg.f64 #s(approx (sinh y) y))) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 #s(approx (sinh y) y)) (cos.f64 x)) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 #s(approx (sinh y) y) (cos.f64 x))) (neg.f64 y))
(/.f64 (*.f64 #s(approx (sinh y) y) (cos.f64 x)) y)
(/.f64 (neg.f64 (neg.f64 #s(approx (sinh y) y))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 #s(approx (sinh y) y)) (neg.f64 y))
(/.f64 #s(approx (sinh y) y) y)
(neg.f64 (/.f64 #s(approx (sinh y) y) (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 #s(approx (sinh y) y)) y))
#s(approx (sinh y) 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 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) x) x) #s(literal -1/4 binary64) (*.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 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) x) x) #s(literal 1/48 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) y) 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 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) x) x) #s(literal -1/1440 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) y) x) x (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal -1/4 binary64))) (*.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 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (* x x) (*.f64 x x))
#s(approx (- (* 1/24 (* x x)) 1/2) #s(literal -1/2 binary64))
#s(approx (- (* 1/24 (* x x)) 1/2) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
#s(approx (* 1/24 (* x x)) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
#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 (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
#s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) x))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/24 binary64)))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x)))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) #s(literal 1/24 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)))
#s(approx (- (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) 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 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (cos.f64 x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) y) y) y) y)))
#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 (*.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)) y) y #s(literal 1 binary64)))
#s(approx (* y y) (*.f64 y y))
#s(approx 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 (*.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)) y) y #s(literal 1 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 (sinh y) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))

eval89.0ms (2.3%)

Memory
4.0MiB live, 92.8MiB allocated; 18ms collecting garbage
Compiler

Compiled 6 977 to 1 203 computations (82.8% saved)

prune113.0ms (3%)

Memory
-20.5MiB live, 37.6MiB allocated; 141ms collecting garbage
Pruning

14 alts after pruning (11 fresh and 3 done)

PrunedKeptTotal
New29310303
Fresh011
Picked325
Done011
Total29614310
Accuracy
100.0%
Counts
310 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.4%
(/.f64 (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sinh.f64 y)) y)
59.2%
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (sinh.f64 y)) y)
63.4%
(*.f64 (/.f64 (sinh.f64 y) y) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
47.2%
(*.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))
57.5%
(*.f64 (cos.f64 x) (/.f64 #s(approx (sinh y) y) y))
81.0%
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
55.8%
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y)))
37.2%
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y))
55.1%
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
14.4%
(*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (/.f64 (sinh.f64 y) y))
32.9%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))) y))
57.4%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.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)) y) y #s(literal 1 binary64)) y)) y))
50.6%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
Compiler

Compiled 438 to 324 computations (26% saved)

series18.0ms (0.5%)

Memory
-2.1MiB live, 42.7MiB allocated; 6ms collecting garbage
Counts
34 → 65
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sinh.f64 y)) y)
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sinh.f64 y))
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(sinh.f64 y)
y
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
#s(approx (cos x) #s(literal 1 binary64))
(/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y)
#s(approx (sinh y) (*.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 y y)
#s(literal 1/6 binary64)
(*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (/.f64 (sinh.f64 y) y))
#s(approx (cos 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 x x) #s(literal -1/2 binary64)))
(*.f64 (*.f64 x x) #s(literal -1/2 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 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.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)) y) y #s(literal 1 binary64)) y)) y))
(/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.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)) y) y #s(literal 1 binary64)) y)) y)
#s(approx (sinh y) (*.f64 (fma.f64 (*.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)) y) y #s(literal 1 binary64)) y))
(*.f64 (fma.f64 (*.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)) y) y #s(literal 1 binary64)) y)
(fma.f64 (*.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)) y) y #s(literal 1 binary64))
(*.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)) y)
(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)
#s(literal 1/120 binary64)
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) (sinh y)) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
#s(approx (* (cos x) (sinh y)) #s(hole binary64 (+ (* -1/4 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))))
#s(approx (* (cos x) (sinh y)) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/4 (- (exp y) (/ 1 (exp y)))) (* 1/48 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))))
#s(approx (* (cos x) (sinh y)) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/4 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/1440 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/48 (- (exp y) (/ 1 (exp 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 x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* (* x x) -1/2) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (/ (* (cos x) (sinh y)) y) #s(hole binary64 (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))))
#s(approx (* (cos x) (sinh y)) #s(hole binary64 (* 1/2 (* (cos x) (- (exp y) (/ 1 (exp y)))))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))))
#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 (* (cos x) (sinh y)) #s(hole binary64 (* y (cos x))))
#s(approx (* (cos x) (sinh y)) #s(hole binary64 (* y (+ (cos x) (* 1/6 (* (pow y 2) (cos x)))))))
#s(approx (* (cos x) (sinh y)) #s(hole binary64 (* y (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))))))
#s(approx (* (cos x) (sinh y)) #s(hole binary64 (* y (+ (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) #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 (/ (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) #s(hole binary64 (pow y 2)))
#s(approx (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) y) #s(hole binary64 (* 1/6 y)))
#s(approx (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) y) #s(hole binary64 (* y (+ 1/6 (* 1/120 (pow y 2))))))
#s(approx (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) y) #s(hole binary64 (* y (+ 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) 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) y) #s(hole binary64 (* 1/5040 (pow y 5))))
#s(approx (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) y) #s(hole binary64 (* (pow y 5) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))))
#s(approx (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) y) #s(hole binary64 (* (pow y 5) (+ 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) #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 (* (+ (* (* (+ (* (+ (* 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 (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) y) #s(hole binary64 (* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040)))))
Calls

6 calls:

TimeVariablePointExpression
3.0ms
y
@-inf
((/ (* (cos x) (sinh y)) y) (* (cos x) (sinh y)) (cos x) (+ (* (* x x) -1/2) 1) (* x x) x -1/2 1 (sinh y) y (* (cos x) (/ (sinh y) y)) (cos x) (/ (sinh y) y) (sinh y) (* (+ (* (* y y) 1/6) 1) y) (+ (* (* y y) 1/6) 1) (* y y) 1/6 (* (cos x) (/ (sinh y) y)) (cos x) (+ (* -1/2 (* x x)) 1) (* (* x x) -1/2) (/ (sinh y) y) (* (/ (sinh y) y) (cos x)) (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (sinh y) (* (+ (* (* (+ (* (+ (* 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) y) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (+ (* 1/5040 (* y y)) 1/120) 1/5040 1/120)
3.0ms
y
@inf
((/ (* (cos x) (sinh y)) y) (* (cos x) (sinh y)) (cos x) (+ (* (* x x) -1/2) 1) (* x x) x -1/2 1 (sinh y) y (* (cos x) (/ (sinh y) y)) (cos x) (/ (sinh y) y) (sinh y) (* (+ (* (* y y) 1/6) 1) y) (+ (* (* y y) 1/6) 1) (* y y) 1/6 (* (cos x) (/ (sinh y) y)) (cos x) (+ (* -1/2 (* x x)) 1) (* (* x x) -1/2) (/ (sinh y) y) (* (/ (sinh y) y) (cos x)) (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (sinh y) (* (+ (* (* (+ (* (+ (* 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) y) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (+ (* 1/5040 (* y y)) 1/120) 1/5040 1/120)
2.0ms
x
@inf
((/ (* (cos x) (sinh y)) y) (* (cos x) (sinh y)) (cos x) (+ (* (* x x) -1/2) 1) (* x x) x -1/2 1 (sinh y) y (* (cos x) (/ (sinh y) y)) (cos x) (/ (sinh y) y) (sinh y) (* (+ (* (* y y) 1/6) 1) y) (+ (* (* y y) 1/6) 1) (* y y) 1/6 (* (cos x) (/ (sinh y) y)) (cos x) (+ (* -1/2 (* x x)) 1) (* (* x x) -1/2) (/ (sinh y) y) (* (/ (sinh y) y) (cos x)) (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (sinh y) (* (+ (* (* (+ (* (+ (* 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) y) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (+ (* 1/5040 (* y y)) 1/120) 1/5040 1/120)
2.0ms
x
@-inf
((/ (* (cos x) (sinh y)) y) (* (cos x) (sinh y)) (cos x) (+ (* (* x x) -1/2) 1) (* x x) x -1/2 1 (sinh y) y (* (cos x) (/ (sinh y) y)) (cos x) (/ (sinh y) y) (sinh y) (* (+ (* (* y y) 1/6) 1) y) (+ (* (* y y) 1/6) 1) (* y y) 1/6 (* (cos x) (/ (sinh y) y)) (cos x) (+ (* -1/2 (* x x)) 1) (* (* x x) -1/2) (/ (sinh y) y) (* (/ (sinh y) y) (cos x)) (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (sinh y) (* (+ (* (* (+ (* (+ (* 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) y) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (+ (* 1/5040 (* y y)) 1/120) 1/5040 1/120)
1.0ms
y
@0
((/ (* (cos x) (sinh y)) y) (* (cos x) (sinh y)) (cos x) (+ (* (* x x) -1/2) 1) (* x x) x -1/2 1 (sinh y) y (* (cos x) (/ (sinh y) y)) (cos x) (/ (sinh y) y) (sinh y) (* (+ (* (* y y) 1/6) 1) y) (+ (* (* y y) 1/6) 1) (* y y) 1/6 (* (cos x) (/ (sinh y) y)) (cos x) (+ (* -1/2 (* x x)) 1) (* (* x x) -1/2) (/ (sinh y) y) (* (/ (sinh y) y) (cos x)) (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (sinh y) (* (+ (* (* (+ (* (+ (* 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) y) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (+ (* 1/5040 (* y y)) 1/120) 1/5040 1/120)

rewrite173.0ms (4.6%)

Memory
45.4MiB live, 324.5MiB allocated; 30ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02751865
03111780
114351725
080421677
Stop Event
iter-limit
node-limit
iter-limit
Counts
99 → 317
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sinh.f64 y)) y)
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sinh.f64 y))
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(sinh.f64 y)
y
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
#s(approx (cos x) #s(literal 1 binary64))
(/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y)
#s(approx (sinh y) (*.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 y y)
#s(literal 1/6 binary64)
(*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (/.f64 (sinh.f64 y) y))
#s(approx (cos 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 x x) #s(literal -1/2 binary64)))
(*.f64 (*.f64 x x) #s(literal -1/2 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 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.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)) y) y #s(literal 1 binary64)) y)) y))
(/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.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)) y) y #s(literal 1 binary64)) y)) y)
#s(approx (sinh y) (*.f64 (fma.f64 (*.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)) y) y #s(literal 1 binary64)) y))
(*.f64 (fma.f64 (*.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)) y) y #s(literal 1 binary64)) y)
(fma.f64 (*.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)) y) y #s(literal 1 binary64))
(*.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)) y)
(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)
#s(literal 1/120 binary64)
#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) (sinh y)) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
#s(approx (* (cos x) (sinh y)) #s(hole binary64 (+ (* -1/4 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))))
#s(approx (* (cos x) (sinh y)) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/4 (- (exp y) (/ 1 (exp y)))) (* 1/48 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))))
#s(approx (* (cos x) (sinh y)) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/4 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/1440 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/48 (- (exp y) (/ 1 (exp 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 x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* (* x x) -1/2) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (/ (* (cos x) (sinh y)) y) #s(hole binary64 (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))))
#s(approx (* (cos x) (sinh y)) #s(hole binary64 (* 1/2 (* (cos x) (- (exp y) (/ 1 (exp y)))))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))))
#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 (* (cos x) (sinh y)) #s(hole binary64 (* y (cos x))))
#s(approx (* (cos x) (sinh y)) #s(hole binary64 (* y (+ (cos x) (* 1/6 (* (pow y 2) (cos x)))))))
#s(approx (* (cos x) (sinh y)) #s(hole binary64 (* y (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))))))
#s(approx (* (cos x) (sinh y)) #s(hole binary64 (* y (+ (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) #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 (/ (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) #s(hole binary64 (pow y 2)))
#s(approx (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) y) #s(hole binary64 (* 1/6 y)))
#s(approx (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) y) #s(hole binary64 (* y (+ 1/6 (* 1/120 (pow y 2))))))
#s(approx (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) y) #s(hole binary64 (* y (+ 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) 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) y) #s(hole binary64 (* 1/5040 (pow y 5))))
#s(approx (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) y) #s(hole binary64 (* (pow y 5) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))))
#s(approx (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) y) #s(hole binary64 (* (pow y 5) (+ 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) #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 (* (+ (* (* (+ (* (+ (* 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 (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) y) #s(hole binary64 (* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040)))))
Outputs
(*.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 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sinh.f64 y) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 (sinh.f64 y) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))) (neg.f64 y))
(/.f64 (*.f64 (sinh.f64 y) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) y)
(neg.f64 (/.f64 (neg.f64 (*.f64 (sinh.f64 y) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))) y))
(*.f64 (sinh.f64 y) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sinh.f64 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 (*.f64 x x) #s(literal -1/2 binary64))))
(/.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 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 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) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))))))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 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 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 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))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.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 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))))
(-.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) x)) x))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (*.f64 x #s(literal -1/2 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 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) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))))))
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.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))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(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))))
x
#s(literal -1/2 binary64)
#s(literal 1 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
(*.f64 (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #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 (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
(/.f64 (neg.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)))) (neg.f64 y))
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))) y)
#s(approx (cos x) #s(literal 1 binary64))
(/.f64 (neg.f64 (neg.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))) (neg.f64 y))
(/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y)
(neg.f64 (/.f64 (neg.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))) y))
#s(approx (sinh y) (*.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)
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 y #s(literal 1 binary64))) (*.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))) (-.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y))) (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y)))
(/.f64 (+.f64 (pow.f64 (*.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 y #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))) (*.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) y) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y)) (*.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y)))))
(fma.f64 y #s(literal 1 binary64) (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))
(fma.f64 #s(literal 1 binary64) y (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y))
(-.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 (neg.f64 y) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))
(-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y))
(+.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))
(+.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1/6 binary64)) (*.f64 y y))
(*.f64 (*.f64 y y) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #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 (*.f64 y y) #s(literal 1/6 binary64))))
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(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) #s(literal 2 binary64)) (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 1/36 binary64) (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 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y))) (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y))))
(-.f64 (*.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 #s(literal 1/6 binary64) (*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y)) y))
(-.f64 #s(literal 1/6 binary64) (*.f64 (neg.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 y y)))
(-.f64 #s(literal 1/6 binary64) (*.f64 (neg.f64 (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) #s(literal 2 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.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 #s(literal 1/216 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) #s(literal 2 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.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 (/.f64 #s(literal 1/216 binary64) (+.f64 #s(literal 1/36 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) #s(literal 2 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y))))) (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) #s(literal 3 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) #s(literal 2 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y))))))
(+.f64 (*.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 #s(literal 1/6 binary64) (*.f64 (neg.f64 (neg.f64 (*.f64 y y))) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y))
(/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))))
(/.f64 (-.f64 #s(literal 1/1728000 binary64) (pow.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)) #s(literal 3 binary64))) (+.f64 #s(literal 1/14400 binary64) (fma.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)) (*.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) (neg.f64 (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/14400 binary64))) (neg.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/1728000 binary64) (*.f64 #s(literal 1/128024064000 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 y y))))) (neg.f64 (+.f64 #s(literal 1/14400 binary64) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/128024064000 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 y y)) #s(literal 1/1728000 binary64))) (neg.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))))
(/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))))
(/.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/14400 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))
(/.f64 (+.f64 #s(literal 1/1728000 binary64) (*.f64 #s(literal 1/128024064000 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 y y)))) (+.f64 #s(literal 1/14400 binary64) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))))))
(/.f64 (fma.f64 #s(literal 1/128024064000 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 y y)) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))))
(fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
(-.f64 (/.f64 #s(literal 1/14400 binary64) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) (/.f64 (*.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))
(-.f64 (/.f64 (*.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))))
(-.f64 (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))
(-.f64 #s(literal 1/120 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 1/5040 binary64) y)) y))
(-.f64 #s(literal 1/120 binary64) (*.f64 (neg.f64 (*.f64 y y)) #s(literal 1/5040 binary64)))
(-.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)))
(+.f64 (/.f64 #s(literal 1/1728000 binary64) (+.f64 #s(literal 1/14400 binary64) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))) (/.f64 (*.f64 #s(literal 1/128024064000 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 y y))) (+.f64 #s(literal 1/14400 binary64) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))))
(+.f64 (/.f64 (*.f64 #s(literal 1/128024064000 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 y y))) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) (/.f64 #s(literal 1/1728000 binary64) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))))
(+.f64 (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))
(+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))
#s(literal 1/5040 binary64)
#s(literal 1/120 binary64)
#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 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 #s(literal 1/48 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 -1/4 binary64))) (*.f64 x x))))
#s(approx (* (cos x) (sinh y)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))
#s(approx (* (cos x) (sinh y)) (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))))
#s(approx (* (cos x) (sinh y)) (fma.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)))) (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))))
#s(approx (* (cos x) (sinh y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 #s(literal 1/48 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) (*.f64 x x) (*.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))))
#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) (*.f64 x x))
#s(approx x x)
#s(approx (* (* x x) -1/2) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
#s(approx (/ (* (cos x) (sinh y)) y) (*.f64 (*.f64 (cos.f64 x) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y)) #s(literal 1/2 binary64)))
#s(approx (* (cos x) (sinh y)) (*.f64 (*.f64 (cos.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal 1/2 binary64)))
#s(approx (cos x) (cos.f64 x))
#s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (/ (* (cos x) (sinh y)) y) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (cos.f64 x) (cos.f64 x)))
#s(approx (/ (* (cos x) (sinh y)) y) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (cos.f64 x))) (*.f64 y y) (cos.f64 x)))
#s(approx (/ (* (cos x) (sinh y)) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) (cos.f64 x) (*.f64 #s(literal 1/120 binary64) (cos.f64 x))) (*.f64 y y) (*.f64 #s(literal 1/6 binary64) (cos.f64 x))) (*.f64 y y) (cos.f64 x)))
#s(approx (* (cos x) (sinh y)) (*.f64 y (cos.f64 x)))
#s(approx (* (cos x) (sinh y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (cos.f64 x) (cos.f64 x)) y))
#s(approx (* (cos x) (sinh y)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (cos.f64 x))) (*.f64 y y) (cos.f64 x)) y))
#s(approx (* (cos x) (sinh y)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) (cos.f64 x) (*.f64 #s(literal 1/120 binary64) (cos.f64 x))) (*.f64 y y) (*.f64 #s(literal 1/6 binary64) (cos.f64 x))) (*.f64 y y) (cos.f64 x)) y))
#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 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))
#s(approx (sinh y) (*.f64 (fma.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)) y))
#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 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (/ (sinh y) y) (fma.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)))
#s(approx (* y y) (*.f64 y y))
#s(approx (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) y) (*.f64 #s(literal 1/6 binary64) y))
#s(approx (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y))
#s(approx (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) y) (*.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))
#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 y y) #s(literal 1/5040 binary64) #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 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
#s(approx (* (+ (* (* y y) 1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))
#s(approx (* (+ (* (* y y) 1/6) 1) y) (fma.f64 (*.f64 (*.f64 y y) y) #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 (pow.f64 y #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) y) y) 1) y) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 #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) (*.f64 (+.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) (+.f64 (pow.f64 y #s(literal -6 binary64)) (/.f64 #s(literal 1/120 binary64) (*.f64 y y)))) (pow.f64 y #s(literal 7 binary64))))
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) y) y) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 y y)) #s(literal 1/5040 binary64)))
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) y) y) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64))))
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) y) y) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 y y)) (+.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))) #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) (*.f64 (*.f64 y y) (*.f64 y y)))) (+.f64 (pow.f64 y #s(literal -6 binary64)) (/.f64 #s(literal 1/120 binary64) (*.f64 y y)))) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 y y))))
#s(approx (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) y) (*.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/5040 binary64)))
#s(approx (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) y) (*.f64 (pow.f64 y #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64))))
#s(approx (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) y) (*.f64 (pow.f64 y #s(literal 5 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))) #s(literal 1/5040 binary64))))
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/5040 binary64)))
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64))))
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))) #s(literal 1/5040 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))))
#s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))
#s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)) (*.f64 y y)))
#s(approx (* (+ (* (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) y) y) 1) y) (neg.f64 (*.f64 (-.f64 (/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #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 (-.f64 (/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1/6 binary64))) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))) (pow.f64 y #s(literal 7 binary64)))))
#s(approx (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) y) (neg.f64 (*.f64 (-.f64 (/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal -1/120 binary64))) (*.f64 y y)) #s(literal 1/5040 binary64)) (pow.f64 y #s(literal 5 binary64)))))

eval51.0ms (1.3%)

Memory
-4.1MiB live, 144.7MiB allocated; 12ms collecting garbage
Compiler

Compiled 12 027 to 2 072 computations (82.8% saved)

prune22.0ms (0.6%)

Memory
-25.3MiB live, 72.6MiB allocated; 8ms collecting garbage
Pruning

20 alts after pruning (16 fresh and 4 done)

PrunedKeptTotal
New35811369
Fresh156
Picked415
Done033
Total36320383
Accuracy
100.0%
Counts
383 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.0%
(/.f64 (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (sinh y) y)) y)
14.5%
(/.f64 (*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (sinh.f64 y)) y)
59.2%
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (sinh.f64 y)) y)
50.6%
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))) y)
63.4%
(*.f64 (/.f64 (sinh.f64 y) y) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
47.2%
(*.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))
57.5%
(*.f64 (cos.f64 x) (/.f64 #s(approx (sinh y) y) y))
81.0%
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
55.8%
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y)))
37.2%
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y))
6.3%
(*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (/.f64 #s(approx (sinh y) y) y))
32.9%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))) y))
50.6%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y)) y))
37.4%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1/6 binary64)) (*.f64 y y)) y)) y))
23.6%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) y))
30.1%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh 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)))) y))
23.6%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) #s(approx (* (+ (* (* y y) 1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))) y))
57.0%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.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))))
46.7%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
Compiler

Compiled 744 to 545 computations (26.7% saved)

series43.0ms (1.1%)

Memory
10.4MiB live, 89.8MiB allocated; 28ms collecting garbage
Counts
34 → 67
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (sinh.f64 y)) y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (sinh.f64 y))
#s(approx (cos x) #s(literal 1 binary64))
#s(literal 1 binary64)
(sinh.f64 y)
y
(*.f64 #s(approx (cos x) #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 (*.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)
#s(literal 1/6 binary64)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) y))
(/.f64 #s(approx (sinh y) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) y)
#s(approx (sinh y) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y))
(*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)
#s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))
(*.f64 (*.f64 y y) #s(literal 1/6 binary64))
(/.f64 (*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (sinh.f64 y)) y)
(*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (sinh.f64 y))
#s(approx (cos 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 x x) #s(literal -1/2 binary64)))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(*.f64 x x)
x
#s(literal -1/2 binary64)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.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) (sinh y)) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
#s(approx (* (cos x) (sinh y)) #s(hole binary64 (+ (* -1/4 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))))
#s(approx (* (cos x) (sinh y)) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/4 (- (exp y) (/ 1 (exp y)))) (* 1/48 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))))
#s(approx (* (cos x) (sinh y)) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/4 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/1440 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/48 (- (exp y) (/ 1 (exp 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 x) -1/2) #s(hole binary64 (* -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 (/ (- (* 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) (sinh y)) #s(hole binary64 (* 1/2 (* (cos x) (- (exp y) (/ 1 (exp y)))))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#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) (* 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 (* (cos x) (sinh y)) #s(hole binary64 (* y (cos x))))
#s(approx (* (cos x) (sinh y)) #s(hole binary64 (* y (+ (cos x) (* 1/6 (* (pow y 2) (cos x)))))))
#s(approx (* (cos x) (sinh y)) #s(hole binary64 (* y (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))))))
#s(approx (* (cos x) (sinh y)) #s(hole binary64 (* y (+ (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) #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 (/ (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) #s(hole binary64 (pow y 2)))
#s(approx (* (* y y) 1/6) #s(hole binary64 (* 1/6 (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 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 (* -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 (* -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 (+ (* (* y y) 1/6) 1) #s(hole binary64 (* (pow y 2) (+ 1/6 (/ 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 (- (/ (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
17.0ms
y
@-inf
((/ (* (cos x) (sinh y)) y) (* (cos x) (sinh y)) (cos x) 1 (sinh y) y (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (* y y) 1/6 (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (sinh y) (* (+ (* (* y y) 1/6) 1) y) (+ (* (* y y) 1/6) 1) (* (* y y) 1/6) (/ (* (cos x) (sinh y)) y) (* (cos x) (sinh y)) (cos x) (+ (* -1/2 (* x x)) 1) (* (* x x) -1/2) (* x x) x -1/2 (* (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)) (/ (exp y) 2) (exp y) 2 (/ (exp (neg y)) 2) (exp (neg y)) (neg y))
11.0ms
x
@-inf
((/ (* (cos x) (sinh y)) y) (* (cos x) (sinh y)) (cos x) 1 (sinh y) y (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (* y y) 1/6 (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (sinh y) (* (+ (* (* y y) 1/6) 1) y) (+ (* (* y y) 1/6) 1) (* (* y y) 1/6) (/ (* (cos x) (sinh y)) y) (* (cos x) (sinh y)) (cos x) (+ (* -1/2 (* x x)) 1) (* (* x x) -1/2) (* x x) x -1/2 (* (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)) (/ (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) (sinh y)) (cos x) 1 (sinh y) y (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (* y y) 1/6 (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (sinh y) (* (+ (* (* y y) 1/6) 1) y) (+ (* (* y y) 1/6) 1) (* (* y y) 1/6) (/ (* (cos x) (sinh y)) y) (* (cos x) (sinh y)) (cos x) (+ (* -1/2 (* x x)) 1) (* (* x x) -1/2) (* x x) x -1/2 (* (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)) (/ (exp y) 2) (exp y) 2 (/ (exp (neg y)) 2) (exp (neg y)) (neg y))
4.0ms
x
@0
((/ (* (cos x) (sinh y)) y) (* (cos x) (sinh y)) (cos x) 1 (sinh y) y (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (* y y) 1/6 (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (sinh y) (* (+ (* (* y y) 1/6) 1) y) (+ (* (* y y) 1/6) 1) (* (* y y) 1/6) (/ (* (cos x) (sinh y)) y) (* (cos x) (sinh y)) (cos x) (+ (* -1/2 (* x x)) 1) (* (* x x) -1/2) (* x x) x -1/2 (* (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)) (/ (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) (sinh y)) (cos x) 1 (sinh y) y (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (* y y) 1/6 (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (sinh y) (* (+ (* (* y y) 1/6) 1) y) (+ (* (* y y) 1/6) 1) (* (* y y) 1/6) (/ (* (cos x) (sinh y)) y) (* (cos x) (sinh y)) (cos x) (+ (* -1/2 (* x x)) 1) (* (* x x) -1/2) (* x x) x -1/2 (* (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)) (/ (exp y) 2) (exp y) 2 (/ (exp (neg y)) 2) (exp (neg y)) (neg y))

rewrite208.0ms (5.5%)

Memory
-12.7MiB live, 334.5MiB allocated; 83ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03101688
03441527
117681440
085081372
Stop Event
iter-limit
node-limit
iter-limit
Counts
101 → 238
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (sinh.f64 y)) y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (sinh.f64 y))
#s(approx (cos x) #s(literal 1 binary64))
#s(literal 1 binary64)
(sinh.f64 y)
y
(*.f64 #s(approx (cos x) #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 (*.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)
#s(literal 1/6 binary64)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) y))
(/.f64 #s(approx (sinh y) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) y)
#s(approx (sinh y) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y))
(*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)
#s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))
(*.f64 (*.f64 y y) #s(literal 1/6 binary64))
(/.f64 (*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (sinh.f64 y)) y)
(*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (sinh.f64 y))
#s(approx (cos 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 x x) #s(literal -1/2 binary64)))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(*.f64 x x)
x
#s(literal -1/2 binary64)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.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) (sinh y)) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
#s(approx (* (cos x) (sinh y)) #s(hole binary64 (+ (* -1/4 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))))
#s(approx (* (cos x) (sinh y)) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/4 (- (exp y) (/ 1 (exp y)))) (* 1/48 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))))
#s(approx (* (cos x) (sinh y)) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/4 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/1440 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/48 (- (exp y) (/ 1 (exp 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 x) -1/2) #s(hole binary64 (* -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 (/ (- (* 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) (sinh y)) #s(hole binary64 (* 1/2 (* (cos x) (- (exp y) (/ 1 (exp y)))))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#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) (* 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 (* (cos x) (sinh y)) #s(hole binary64 (* y (cos x))))
#s(approx (* (cos x) (sinh y)) #s(hole binary64 (* y (+ (cos x) (* 1/6 (* (pow y 2) (cos x)))))))
#s(approx (* (cos x) (sinh y)) #s(hole binary64 (* y (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))))))
#s(approx (* (cos x) (sinh y)) #s(hole binary64 (* y (+ (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) #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 (/ (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) #s(hole binary64 (pow y 2)))
#s(approx (* (* y y) 1/6) #s(hole binary64 (* 1/6 (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 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 (* -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 (* -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 (+ (* (* y y) 1/6) 1) #s(hole binary64 (* (pow y 2) (+ 1/6 (/ 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 (- (/ (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 (/.f64 (sinh.f64 y) y) #s(approx (cos x) #s(literal 1 binary64)))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sinh.f64 y) #s(approx (cos x) #s(literal 1 binary64))))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 (sinh.f64 y) #s(approx (cos x) #s(literal 1 binary64)))) (neg.f64 y))
(/.f64 (*.f64 (sinh.f64 y) #s(approx (cos x) #s(literal 1 binary64))) y)
(*.f64 (sinh.f64 y) #s(approx (cos x) #s(literal 1 binary64)))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (sinh.f64 y))
#s(approx (cos x) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (-.f64 (neg.f64 (exp.f64 y)) (neg.f64 (exp.f64 (neg.f64 y)))) #s(literal -2 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 (neg.f64 (-.f64 (/.f64 (exp.f64 (+.f64 y y)) #s(literal 4 binary64)) (/.f64 (exp.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64))) #s(literal 4 binary64)))) (neg.f64 (cosh.f64 y)))
(/.f64 (neg.f64 (-.f64 (/.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 8 binary64)) (/.f64 (exp.f64 (*.f64 (neg.f64 y) #s(literal 3 binary64))) #s(literal 8 binary64)))) (neg.f64 (+.f64 (/.f64 (exp.f64 (+.f64 y y)) #s(literal 4 binary64)) (+.f64 (/.f64 (exp.f64 (*.f64 (neg.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 (exp.f64 (+.f64 y y)) #s(literal 4 binary64)) (/.f64 (exp.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64))) #s(literal 4 binary64))) (cosh.f64 y))
(/.f64 (-.f64 (/.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 8 binary64)) (/.f64 (exp.f64 (*.f64 (neg.f64 y) #s(literal 3 binary64))) #s(literal 8 binary64))) (+.f64 (/.f64 (exp.f64 (+.f64 y y)) #s(literal 4 binary64)) (+.f64 (/.f64 (exp.f64 (*.f64 (neg.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)) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 y)))) #s(literal 4 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 (/.f64 (exp.f64 (+.f64 y y)) #s(literal 4 binary64)) (cosh.f64 y)) (/.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64))) #s(literal 4 binary64)) (cosh.f64 y)))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 8 binary64)) (+.f64 (/.f64 (exp.f64 (+.f64 y y)) #s(literal 4 binary64)) (+.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64))) #s(literal 4 binary64)) (/.f64 (exp.f64 (+.f64 y (neg.f64 y))) #s(literal 4 binary64))))) (/.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 y) #s(literal 3 binary64))) #s(literal 8 binary64)) (+.f64 (/.f64 (exp.f64 (+.f64 y y)) #s(literal 4 binary64)) (+.f64 (/.f64 (exp.f64 (*.f64 (neg.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)))
y
(*.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))) #s(approx (cos 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 (*.f64 y y) #s(literal 1/6 binary64) #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 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y))
(*.f64 (*.f64 y y) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #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 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) #s(literal 1/6 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) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
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#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 #s(literal 1/48 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 -1/4 binary64))) (*.f64 x x))))
#s(approx (* (cos x) (sinh y)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))
#s(approx (* (cos x) (sinh y)) (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))))
#s(approx (* (cos x) (sinh y)) (fma.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)))) (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))))
#s(approx (* (cos x) (sinh y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 #s(literal 1/48 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) (*.f64 x x) (*.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) 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 (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) -1/2) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx 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)))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)) (*.f64 x x)) (*.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)) (-.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))))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (-.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))) y) (*.f64 x x) (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) (*.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))))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (*.f64 (*.f64 (cos.f64 x) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y)) #s(literal 1/2 binary64)))
#s(approx (* (cos x) (sinh y)) (*.f64 (*.f64 (cos.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal 1/2 binary64)))
#s(approx (cos x) (cos.f64 x))
#s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x)))
#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 (* (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 #s(literal 1/6 binary64) (cos.f64 x))) (*.f64 y y) (cos.f64 x)))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 y y)) (cos.f64 x) (*.f64 #s(literal 1/120 binary64) (cos.f64 x))) (*.f64 y y) (*.f64 #s(literal 1/6 binary64) (cos.f64 x))) (*.f64 y y) (cos.f64 x)))
#s(approx (* (cos x) (sinh y)) (*.f64 y (cos.f64 x)))
#s(approx (* (cos x) (sinh y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (cos.f64 x) (cos.f64 x)) y))
#s(approx (* (cos x) (sinh y)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (cos.f64 x))) (*.f64 y y) (cos.f64 x)) y))
#s(approx (* (cos x) (sinh y)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 y y)) (cos.f64 x) (*.f64 #s(literal 1/120 binary64) (cos.f64 x))) (*.f64 y y) (*.f64 #s(literal 1/6 binary64) (cos.f64 x))) (*.f64 y y) (cos.f64 x)) y))
#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) (/ (exp (neg y)) 2)) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) 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 (/ (- (/ (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 (* y y) (*.f64 y y))
#s(approx (* (* y y) 1/6) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))
#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) (+.f64 y #s(literal 1 binary64)))
#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) (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)) (+.f64 (neg.f64 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 (+ (* (* y y) 1/6) 1) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
#s(approx (* (+ (* (* y y) 1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))
#s(approx (* (+ (* (* y y) 1/6) 1) y) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64) y))
#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)))

eval27.0ms (0.7%)

Memory
14.9MiB live, 60.6MiB allocated; 4ms collecting garbage
Compiler

Compiled 6 266 to 1 115 computations (82.2% saved)

prune20.0ms (0.5%)

Memory
-2.2MiB live, 44.6MiB allocated; 2ms collecting garbage
Pruning

24 alts after pruning (16 fresh and 8 done)

PrunedKeptTotal
New2219230
Fresh4711
Picked145
Done044
Total22624250
Accuracy
100.0%
Counts
250 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.0%
(/.f64 (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (sinh y) y)) y)
14.5%
(/.f64 (*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (sinh.f64 y)) y)
13.1%
(/.f64 (*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) #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)
9.9%
(/.f64 (*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) y)
59.2%
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (sinh.f64 y)) y)
30.0%
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) y)
63.4%
(*.f64 (/.f64 (sinh.f64 y) y) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
47.2%
(*.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))
57.5%
(*.f64 (cos.f64 x) (/.f64 #s(approx (sinh y) y) y))
81.0%
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
55.8%
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y)))
47.0%
(*.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))))
37.2%
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y))
29.7%
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) y))
51.1%
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) 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))))
2.9%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(approx (/ (exp y) 2) #s(literal 1/2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))) y))
37.4%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1/6 binary64)) (*.f64 y y)) y)) y))
23.6%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) y))
23.6%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) #s(approx (* (+ (* (* y y) 1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))) y))
57.0%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.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))))
46.7%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
46.7%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) y) #s(literal 1 binary64))))
33.5%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y))))
Compiler

Compiled 1 252 to 541 computations (56.8% saved)

regimes54.0ms (1.4%)

Memory
-3.3MiB live, 95.1MiB allocated; 16ms collecting garbage
Counts
37 → 1
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos 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(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (/.f64 #s(approx (sinh y) y) y))
(/.f64 (*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) y)
(/.f64 (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (sinh y) y)) y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) #s(approx (* (+ (* (* y y) 1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) y))
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (sinh y) (*.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)) (/.f64 #s(approx (sinh y) (*.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)) (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y))))
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (sinh.f64 y)) y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) 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 (*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) #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 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) (*.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 (-.f64 #s(approx (/ (exp y) 2) #s(literal 1/2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1/6 binary64)) (*.f64 y y)) y)) y))
(/.f64 (*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (sinh.f64 y)) y)
(*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (/.f64 (sinh.f64 y) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh 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)))) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) 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 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) 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)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.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 #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 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.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)) y) y #s(literal 1 binary64)) y)) y))
(*.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))) (/.f64 (sinh.f64 y) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))) y))
(*.f64 (cos.f64 x) (/.f64 #s(approx (sinh y) 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 (cos.f64 x) #s(approx (/ (sinh y) y) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) 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)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))) y))
Outputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Calls

5 calls:

19.0ms
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)

regimes43.0ms (1.1%)

Memory
-5.6MiB live, 87.3MiB allocated; 4ms collecting garbage
Counts
35 → 3
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos 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(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (/.f64 #s(approx (sinh y) y) y))
(/.f64 (*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) y)
(/.f64 (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (sinh y) y)) y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) #s(approx (* (+ (* (* y y) 1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) y))
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (sinh y) (*.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)) (/.f64 #s(approx (sinh y) (*.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)) (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y))))
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (sinh.f64 y)) y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) 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 (*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) #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 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) (*.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 (-.f64 #s(approx (/ (exp y) 2) #s(literal 1/2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1/6 binary64)) (*.f64 y y)) y)) y))
(/.f64 (*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (sinh.f64 y)) y)
(*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (/.f64 (sinh.f64 y) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh 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)))) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) 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 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) 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)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.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 #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 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.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)) y) y #s(literal 1 binary64)) y)) y))
(*.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))) (/.f64 (sinh.f64 y) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))) y))
(*.f64 (cos.f64 x) (/.f64 #s(approx (sinh y) 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 (cos.f64 x) #s(approx (/ (sinh y) y) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y)))
Outputs
(/.f64 (*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (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 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y))
Calls

5 calls:

10.0ms
x
9.0ms
y
8.0ms
(cos.f64 x)
7.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
7.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
92.4%2(/.f64 (sinh.f64 y) y)
91.0%2(cos.f64 x)
99.5%3(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
91.0%2x
96.7%3y
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes9.0ms (0.2%)

Memory
21.3MiB live, 21.3MiB allocated; 0ms collecting garbage
Counts
33 → 3
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos 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(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (/.f64 #s(approx (sinh y) y) y))
(/.f64 (*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) y)
(/.f64 (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (sinh y) y)) y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) #s(approx (* (+ (* (* y y) 1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) y))
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (sinh y) (*.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)) (/.f64 #s(approx (sinh y) (*.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)) (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y))))
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (sinh.f64 y)) y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) 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 (*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) #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 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) (*.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 (-.f64 #s(approx (/ (exp y) 2) #s(literal 1/2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1/6 binary64)) (*.f64 y y)) y)) y))
(/.f64 (*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (sinh.f64 y)) y)
(*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (/.f64 (sinh.f64 y) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh 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)))) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) 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 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) 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)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.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 #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 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.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)) y) y #s(literal 1 binary64)) y)) y))
(*.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))) (/.f64 (sinh.f64 y) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))) y))
(*.f64 (cos.f64 x) (/.f64 #s(approx (sinh y) y) y))
Outputs
(/.f64 (*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (sinh.f64 y)) y)
(*.f64 (cos.f64 x) (/.f64 #s(approx (sinh y) y) y))
(*.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))) (/.f64 (sinh.f64 y) y))
Calls

1 calls:

7.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
99.3%3(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes40.0ms (1.1%)

Memory
-12.8MiB live, 83.1MiB allocated; 6ms collecting garbage
Counts
32 → 2
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos 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(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (/.f64 #s(approx (sinh y) y) y))
(/.f64 (*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) y)
(/.f64 (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (sinh y) y)) y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) #s(approx (* (+ (* (* y y) 1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) y))
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (sinh y) (*.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)) (/.f64 #s(approx (sinh y) (*.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)) (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y))))
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (sinh.f64 y)) y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) 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 (*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) #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 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) (*.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 (-.f64 #s(approx (/ (exp y) 2) #s(literal 1/2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1/6 binary64)) (*.f64 y y)) y)) y))
(/.f64 (*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (sinh.f64 y)) y)
(*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (/.f64 (sinh.f64 y) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh 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)))) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) 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 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) 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)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.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 #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 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.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)) y) y #s(literal 1 binary64)) y)) y))
(*.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))) (/.f64 (sinh.f64 y) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))) y))
Outputs
(/.f64 (*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (sinh.f64 y)) y)
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (sinh.f64 y)) y)
Calls

5 calls:

10.0ms
y
9.0ms
x
7.0ms
(cos.f64 x)
7.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
6.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
63.4%1x
72.6%2(cos.f64 x)
65.1%2(/.f64 (sinh.f64 y) y)
65.2%2y
72.6%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes10.0ms (0.3%)

Memory
26.6MiB live, 26.5MiB allocated; 0ms collecting garbage
Counts
19 → 2
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos 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(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (/.f64 #s(approx (sinh y) y) y))
(/.f64 (*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) y)
(/.f64 (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (sinh y) y)) y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) #s(approx (* (+ (* (* y y) 1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) y))
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (sinh y) (*.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)) (/.f64 #s(approx (sinh y) (*.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)) (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y))))
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (sinh.f64 y)) y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) 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 (*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) #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 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) (*.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 (-.f64 #s(approx (/ (exp y) 2) #s(literal 1/2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1/6 binary64)) (*.f64 y y)) y)) y))
Outputs
(/.f64 (*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) #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 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (sinh.f64 y)) y)
Calls

2 calls:

5.0ms
(cos.f64 x)
4.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
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)

regimes9.0ms (0.2%)

Memory
-27.3MiB live, 19.4MiB allocated; 2ms collecting garbage
Counts
15 → 2
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos 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(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (/.f64 #s(approx (sinh y) y) y))
(/.f64 (*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) y)
(/.f64 (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (sinh y) y)) y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) #s(approx (* (+ (* (* y y) 1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) y))
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (sinh y) (*.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)) (/.f64 #s(approx (sinh y) (*.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)) (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y))))
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (sinh.f64 y)) y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) 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 #s(literal -1/2 binary64) 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 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (sinh.f64 y)) y)
Calls

2 calls:

4.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
4.0ms
(cos.f64 x)
Results
AccuracySegmentsBranch
70.4%2(cos.f64 x)
70.4%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 9 to 9 computations (0% saved)

regimes8.0ms (0.2%)

Memory
17.2MiB live, 17.2MiB allocated; 0ms collecting garbage
Counts
14 → 2
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos 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(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (/.f64 #s(approx (sinh y) y) y))
(/.f64 (*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) y)
(/.f64 (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (sinh y) y)) y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) #s(approx (* (+ (* (* y y) 1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) y))
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (sinh y) (*.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)) (/.f64 #s(approx (sinh y) (*.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)) (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y))))
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (sinh.f64 y)) y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
Outputs
(/.f64 (*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) y)
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (sinh.f64 y)) y)
Calls

2 calls:

4.0ms
(cos.f64 x)
3.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
67.7%2(cos.f64 x)
67.7%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 9 to 9 computations (0% saved)

regimes18.0ms (0.5%)

Memory
-3.1MiB live, 43.7MiB allocated; 1ms collecting garbage
Counts
12 → 2
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos 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(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (/.f64 #s(approx (sinh y) y) y))
(/.f64 (*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) y)
(/.f64 (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (sinh y) y)) y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) #s(approx (* (+ (* (* y y) 1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) y))
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (sinh y) (*.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)) (/.f64 #s(approx (sinh y) (*.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)) (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y))))
Outputs
(/.f64 (*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) y)
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))) y)
Calls

5 calls:

4.0ms
y
4.0ms
x
3.0ms
(cos.f64 x)
3.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
2.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
54.1%2x
50.6%1(/.f64 (sinh.f64 y) y)
50.6%1y
59.1%2(cos.f64 x)
59.1%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes5.0ms (0.1%)

Memory
12.3MiB live, 12.3MiB allocated; 0ms collecting garbage
Counts
8 → 3
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos 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(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (/.f64 #s(approx (sinh y) y) y))
(/.f64 (*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) y)
(/.f64 (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (sinh y) y)) y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) #s(approx (* (+ (* (* y y) 1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) y))
Outputs
(/.f64 (*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) #s(approx (* (+ (* (* y y) 1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))) y))
Calls

2 calls:

2.0ms
(cos.f64 x)
2.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
55.1%2(cos.f64 x)
59.1%3(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 9 to 9 computations (0% saved)

regimes4.0ms (0.1%)

Memory
9.9MiB live, 9.9MiB allocated; 0ms collecting garbage
Counts
6 → 2
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos 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(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (/.f64 #s(approx (sinh y) y) y))
(/.f64 (*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) y)
(/.f64 (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (sinh y) y)) y)
Outputs
(/.f64 (*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) y) #s(literal 1 binary64))))
Calls

2 calls:

2.0ms
(cos.f64 x)
2.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
55.1%2(cos.f64 x)
55.1%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 9 to 9 computations (0% saved)

regimes151.0ms (4%)

Memory
-38.4MiB live, 25.7MiB allocated; 187ms collecting garbage
Counts
4 → 2
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos 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(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (/.f64 #s(approx (sinh 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 (sinh y) y) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) y) #s(literal 1 binary64))))
Calls

5 calls:

144.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
2.0ms
x
2.0ms
(cos.f64 x)
2.0ms
y
1.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
46.7%1(/.f64 (sinh.f64 y) y)
46.7%1y
48.9%2x
51.6%2(cos.f64 x)
51.6%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes5.0ms (0.1%)

Memory
13.6MiB live, 13.6MiB allocated; 0ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos 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) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) y) #s(literal 1 binary64))))
Calls

3 calls:

1.0ms
x
1.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
1.0ms
(cos.f64 x)
Results
AccuracySegmentsBranch
46.7%1x
46.7%1(cos.f64 x)
46.7%1(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 10 to 11 computations (-10% saved)

regimes10.0ms (0.3%)

Memory
-38.6MiB live, 15.9MiB allocated; 8ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

5 calls:

6.0ms
(/.f64 (sinh.f64 y) y)
1.0ms
(cos.f64 x)
1.0ms
x
1.0ms
y
1.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
30.0%1y
30.0%1(/.f64 (sinh.f64 y) y)
30.0%1(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
30.0%1(cos.f64 x)
30.0%1x
Compiler

Compiled 15 to 17 computations (-13.3% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999947596012535
1.0
0.0ms
-inf
-0.9997772344000122
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
0.9999947596012535
1.0
0.0ms
-inf
-0.9997772344000122
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
-0.03111041543643629
0.14067569846290265
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
-0.03111041543643629
0.14067569846290265
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
-0.03111041543643629
0.14067569846290265
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
-0.03111041543643629
0.14067569846290265
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
-0.03111041543643629
0.14067569846290265
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
4.213379658068416
+inf
0.0ms
-0.03111041543643629
0.14067569846290265
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
-0.03111041543643629
0.14067569846290265
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
-0.03111041543643629
0.14067569846290265
Compiler

Compiled 10 to 11 computations (-10% saved)

derivations634.0ms (16.7%)

Memory
23.8MiB live, 519.4MiB allocated; 135ms collecting garbage
Stop Event
fuel
Compiler

Compiled 633 to 100 computations (84.2% saved)

preprocess175.0ms (4.6%)

Memory
29.5MiB live, 317.1MiB allocated; 83ms collecting garbage
Remove

(abs y)

(abs x)

Compiler

Compiled 3 172 to 1 698 computations (46.5% saved)

end0.0ms (0%)

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

Profiling

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