Linear.Quaternion:$csin from linear-1.19.1.3

Time bar (total: 4.4s)

start0.0ms (0%)

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

analyze15.0ms (0.3%)

Memory
21.5MiB live, 21.5MiB 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)

sample1.3s (29.6%)

Memory
-39.9MiB live, 971.0MiB allocated; 185ms collecting garbage
Samples
983.0ms8 255×0valid
0.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 607.0ms
ival-cos: 334.0ms (55.1% of total)
ival-sinh: 119.0ms (19.6% of total)
ival-div!: 118.0ms (19.5% of total)
ival-mult!: 35.0ms (5.8% of total)
adjust: 1.0ms (0.2% of total)
Bogosity

preprocess65.0ms (1.5%)

Memory
-0.8MiB live, 45.2MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01944
17644
235844
3163644
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 12 to 12 computations (0% saved)

series12.0ms (0.3%)

Memory
21.7MiB live, 21.7MiB 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
4.0ms
y
@-inf
((* (cos x) (/ (sinh y) y)) (cos x) x (/ (sinh y) y) (sinh y) y)
2.0ms
y
@inf
((* (cos x) (/ (sinh y) y)) (cos x) x (/ (sinh y) y) (sinh y) y)
2.0ms
x
@inf
((* (cos x) (/ (sinh y) y)) (cos x) x (/ (sinh y) y) (sinh y) y)
2.0ms
y
@0
((* (cos x) (/ (sinh y) y)) (cos x) x (/ (sinh y) y) (sinh y) y)
1.0ms
x
@-inf
((* (cos x) (/ (sinh y) y)) (cos x) x (/ (sinh y) y) (sinh y) y)

rewrite758.0ms (17.4%)

Memory
-54.1MiB live, 306.0MiB allocated; 942ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0113479
0117467
1767406
25779406
08022376
120533376
Stop Event
iter-limit
node-limit
iter-limit
Counts
28 → 105
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 #s(literal 1/2 binary64) (cos.f64 x)) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y))
(*.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) (cos.f64 x)) #s(literal 1/2 binary64))
(*.f64 (*.f64 (cos.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) (cos.f64 x)))
(*.f64 (sinh.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) y) (cos.f64 x)))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (cos.f64 x))) (neg.f64 y))
(/.f64 (*.f64 (cos.f64 x) (sinh.f64 (neg.f64 y))) (neg.f64 y))
(/.f64 (*.f64 (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (cos.f64 x)) #s(literal 1/2 binary64)) (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)
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x))))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) (cos.f64 x))))
(neg.f64 (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) (cos.f64 x)) #s(literal -1/2 binary64)))
(sin.f64 (+.f64 (neg.f64 (neg.f64 x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (neg.f64 (fabs.f64 x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (fabs.f64 (fabs.f64 x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (fabs.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))
(fma.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
(fma.f64 (sin.f64 (fabs.f64 x)) #s(literal 0 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
(fma.f64 (sin.f64 x) #s(literal 0 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(-.f64 (*.f64 (sin.f64 x) #s(literal 0 binary64)) (*.f64 (cos.f64 x) (sin.f64 (neg.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(cos.f64 (neg.f64 (neg.f64 (neg.f64 x))))
(cos.f64 (neg.f64 (neg.f64 (fabs.f64 x))))
(cos.f64 (neg.f64 (fabs.f64 (fabs.f64 x))))
(cos.f64 (fabs.f64 (neg.f64 (neg.f64 x))))
(cos.f64 (fabs.f64 (neg.f64 (fabs.f64 x))))
(cos.f64 (fabs.f64 (fabs.f64 (fabs.f64 x))))
(cos.f64 (neg.f64 (neg.f64 x)))
(cos.f64 (neg.f64 (fabs.f64 x)))
(cos.f64 (fabs.f64 (fabs.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 (fabs.f64 x))
(cos.f64 x)
(+.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64)) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
(+.f64 (*.f64 (sin.f64 (fabs.f64 x)) #s(literal 0 binary64)) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 x) #s(literal 0 binary64)) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
x
(*.f64 (/.f64 #s(literal 1 binary64) y) (sinh.f64 y))
(*.f64 (sinh.f64 (neg.f64 y)) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y))
(*.f64 (sinh.f64 y) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 (sinh.f64 y) #s(literal 1 binary64)) y)
(/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal 1/2 binary64)) (neg.f64 y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) (neg.f64 y))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) y))
(/.f64 (sinh.f64 (neg.f64 y)) (neg.f64 y))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 #s(literal 2 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (sinh.f64 (neg.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 y (sinh.f64 y)))
(/.f64 (sinh.f64 y) (neg.f64 (neg.f64 y)))
(/.f64 (sinh.f64 y) y)
(neg.f64 (/.f64 (sinh.f64 (neg.f64 y)) y))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))
(/.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))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))
(sinh.f64 (neg.f64 (neg.f64 y)))
(sinh.f64 y)
(neg.f64 (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal 1/2 binary64)))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))
(neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal -1/2 binary64)))
(neg.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)))))
(neg.f64 (sinh.f64 (neg.f64 y)))
(fma.f64 (exp.f64 y) #s(literal 1/2 binary64) (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 y) (*.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 y)))))
(-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 y)))))
(+.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 2 binary64)))
y
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (sinh.f64 y) y))
#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) (sinh.f64 y)) y))
#s(approx (* (cos x) (/ (sinh y) y)) (fma.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) (*.f64 x x) (/.f64 (sinh.f64 y) y)))
#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 (sinh.f64 y) y)))
#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 (fma.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 (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 (* (cos x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x)))
#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) (sinh.f64 y))

eval16.0ms (0.4%)

Memory
-16.1MiB live, 37.6MiB allocated; 9ms collecting garbage
Compiler

Compiled 665 to 339 computations (49% saved)

prune13.0ms (0.3%)

Memory
-20.1MiB live, 22.8MiB allocated; 7ms collecting garbage
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New92799
Fresh000
Picked011
Done000
Total928100
Accuracy
100.0%
Counts
100 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) y)
99.8%
(*.f64 (sinh.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) y) (cos.f64 x)))
100.0%
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
52.2%
(*.f64 (cos.f64 x) (/.f64 #s(approx (sinh y) y) y))
91.4%
(*.f64 (cos.f64 x) #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))))
76.7%
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
62.8%
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y))
62.6%
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 144 to 142 computations (1.4% saved)

series10.0ms (0.2%)

Memory
25.9MiB live, 25.9MiB allocated; 0ms collecting garbage
Counts
22 → 36
Calls
Call 1
Inputs
(/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) y)
(*.f64 (sinh.f64 y) (cos.f64 x))
(sinh.f64 y)
y
(cos.f64 x)
x
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (sinh.f64 y) y))
(/.f64 (sinh.f64 y) 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)
#s(literal 1 binary64)
(*.f64 (cos.f64 x) (/.f64 #s(approx (sinh y) y) y))
(/.f64 #s(approx (sinh y) y) y)
#s(approx (sinh 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))))
#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)
Outputs
#s(approx (/ (* (sinh y) (cos x)) y) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
#s(approx (/ (* (sinh y) (cos x)) 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 (/ (* (sinh y) (cos x)) 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 (/ (* (sinh y) (cos x)) 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 (* (sinh y) (cos x)) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
#s(approx (* (sinh y) (cos x)) #s(hole binary64 (+ (* -1/4 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))))
#s(approx (* (sinh y) (cos x)) #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 (* (sinh y) (cos x)) #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 #s(hole binary64 x))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (* (sinh y) (cos x)) y) #s(hole binary64 (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))))
#s(approx (* (sinh y) (cos x)) #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 (* -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 (/ (* (sinh y) (cos x)) y) #s(hole binary64 (+ (cos x) (* 1/6 (* (pow y 2) (cos x))))))
#s(approx (/ (* (sinh y) (cos x)) y) #s(hole binary64 (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))))
#s(approx (/ (* (sinh y) (cos x)) 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) (cos x)) #s(hole binary64 (* y (cos x))))
#s(approx (* (sinh y) (cos x)) #s(hole binary64 (* y (+ (cos x) (* 1/6 (* (pow y 2) (cos x)))))))
#s(approx (* (sinh y) (cos x)) #s(hole binary64 (* y (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))))))
#s(approx (* (sinh y) (cos x)) #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) 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))))))
Calls

6 calls:

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

rewrite195.0ms (4.5%)

Memory
2.8MiB live, 231.4MiB allocated; 44ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0172902
0193867
11113742
08345705
123598705
Stop Event
iter-limit
node-limit
iter-limit
Counts
58 → 245
Calls
Call 1
Inputs
(/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) y)
(*.f64 (sinh.f64 y) (cos.f64 x))
(sinh.f64 y)
y
(cos.f64 x)
x
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (sinh.f64 y) y))
(/.f64 (sinh.f64 y) 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)
#s(literal 1 binary64)
(*.f64 (cos.f64 x) (/.f64 #s(approx (sinh y) y) y))
(/.f64 #s(approx (sinh y) y) y)
#s(approx (sinh 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))))
#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)
#s(approx (/ (* (sinh y) (cos x)) y) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
#s(approx (/ (* (sinh y) (cos x)) 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 (/ (* (sinh y) (cos x)) 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 (/ (* (sinh y) (cos x)) 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 (* (sinh y) (cos x)) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
#s(approx (* (sinh y) (cos x)) #s(hole binary64 (+ (* -1/4 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))))
#s(approx (* (sinh y) (cos x)) #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 (* (sinh y) (cos x)) #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 #s(hole binary64 x))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (* (sinh y) (cos x)) y) #s(hole binary64 (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))))
#s(approx (* (sinh y) (cos x)) #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 (* -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 (/ (* (sinh y) (cos x)) y) #s(hole binary64 (+ (cos x) (* 1/6 (* (pow y 2) (cos x))))))
#s(approx (/ (* (sinh y) (cos x)) y) #s(hole binary64 (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))))
#s(approx (/ (* (sinh y) (cos x)) 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) (cos x)) #s(hole binary64 (* y (cos x))))
#s(approx (* (sinh y) (cos x)) #s(hole binary64 (* y (+ (cos x) (* 1/6 (* (pow y 2) (cos x)))))))
#s(approx (* (sinh y) (cos x)) #s(hole binary64 (* y (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))))))
#s(approx (* (sinh y) (cos x)) #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) 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))))))
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y))
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (sinh.f64 y) (cos.f64 x)))
(*.f64 (*.f64 (neg.f64 (cos.f64 x)) (sinh.f64 y)) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) (cos.f64 x)) #s(literal 1/2 binary64))
(*.f64 (*.f64 (cos.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (cos.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (sinh.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) y) (cos.f64 x)))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) (cos.f64 x)))
(*.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (cos.f64 x))) (neg.f64 y))
(/.f64 (*.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) #s(literal 1 binary64)) y)
(/.f64 (*.f64 (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (cos.f64 x)) #s(literal 1/2 binary64)) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (neg.f64 (cos.f64 x)) (sinh.f64 y))) (neg.f64 (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 (cos.f64 x)) (sinh.f64 y)) (neg.f64 y))
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) (cos.f64 x)) #s(literal 2 binary64))
(/.f64 (*.f64 (cos.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (*.f64 #s(literal 2 binary64) y))
(/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) y)
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (neg.f64 (cos.f64 x)) (sinh.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x))))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) (cos.f64 x))))
(neg.f64 (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) (cos.f64 x)) #s(literal -1/2 binary64)))
(neg.f64 (/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) (neg.f64 y)))
(neg.f64 (/.f64 (*.f64 (neg.f64 (cos.f64 x)) (sinh.f64 y)) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))
(*.f64 (*.f64 (cos.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal 1/2 binary64))
(*.f64 (sinh.f64 y) (cos.f64 x))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))
(*.f64 (cos.f64 x) (sinh.f64 y))
(/.f64 (*.f64 (cos.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))))
(neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)))))
(neg.f64 (*.f64 (*.f64 (cos.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (exp.f64 y) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (neg.f64 (exp.f64 (neg.f64 y)))))
(fma.f64 (exp.f64 y) (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (exp.f64 y)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (neg.f64 (exp.f64 (neg.f64 y)))))
(+.f64 (*.f64 (exp.f64 y) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))) (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))
(/.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))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))
(sinh.f64 y)
(neg.f64 (sinh.f64 (neg.f64 y)))
(fma.f64 (exp.f64 y) #s(literal 1/2 binary64) (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 y) (*.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 y)))))
(-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64)))
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x
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#s(approx (cos x) (cos.f64 x))
#s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
#s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) x))
#s(approx (/ (* (sinh y) (cos x)) y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (cos.f64 x)))
#s(approx (/ (* (sinh y) (cos x)) 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 (/ (* (sinh y) (cos x)) 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) (cos x)) (*.f64 (cos.f64 x) y))
#s(approx (* (sinh y) (cos x)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (cos.f64 x)) y))
#s(approx (* (sinh y) (cos x)) (*.f64 (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)) y))
#s(approx (* (sinh y) (cos x)) (*.f64 (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)) 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 #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) 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) 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)))

eval47.0ms (1.1%)

Memory
15.7MiB live, 61.3MiB allocated; 4ms collecting garbage
Compiler

Compiled 2 164 to 903 computations (58.3% saved)

prune44.0ms (1%)

Memory
-19.2MiB live, 34.1MiB allocated; 13ms collecting garbage
Pruning

22 alts after pruning (19 fresh and 3 done)

PrunedKeptTotal
New28019299
Fresh202
Picked325
Done011
Total28522307
Accuracy
100.0%
Counts
307 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
62.7%
(*.f64 (*.f64 (sinh.f64 y) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) y))
52.1%
(*.f64 (*.f64 #s(approx (sinh y) y) (cos.f64 x)) (/.f64 #s(literal 1 binary64) y))
49.1%
(*.f64 (sin.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
100.0%
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
52.2%
(*.f64 (cos.f64 x) (/.f64 #s(approx (sinh y) y) y))
76.7%
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
27.7%
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
36.2%
(*.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y))
62.8%
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y))
62.7%
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) y))
53.8%
(*.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))
62.7%
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) y) (sinh.f64 y)))
15.5%
(*.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))
29.8%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) y) y))
46.0%
(*.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))))
36.3%
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (fma.f64 (exp.f64 y) #s(literal 1/2 binary64) (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) y))
62.5%
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) y))
62.6%
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (sinh.f64 y) y))
51.7%
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
62.6%
#s(approx (* (cos x) (/ (sinh y) y)) (*.f64 (/.f64 #s(literal 1 binary64) y) (sinh.f64 y)))
57.3%
#s(approx (* (cos x) (/ (sinh y) y)) #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))))
Compiler

Compiled 524 to 514 computations (1.9% saved)

series39.0ms (0.9%)

Memory
-9.9MiB live, 35.0MiB allocated; 6ms collecting garbage
Counts
33 → 69
Calls
Call 1
Inputs
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
(/.f64 (cos.f64 x) y)
(cos.f64 x)
x
y
(sinh.f64 y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) y) y))
#s(approx (cos x) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(approx (sinh y) y) y)
#s(approx (sinh y) y)
(*.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y))
#s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
#s(literal 1/24 binary64)
(*.f64 x x)
#s(literal -1/2 binary64)
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) y))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) (sinh.f64 y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (fma.f64 (exp.f64 y) #s(literal 1/2 binary64) (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) y))
(/.f64 (fma.f64 (exp.f64 y) #s(literal 1/2 binary64) (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) y)
(fma.f64 (exp.f64 y) #s(literal 1/2 binary64) (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
(exp.f64 y)
#s(literal 1/2 binary64)
(*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
(neg.f64 (exp.f64 (neg.f64 y)))
(exp.f64 (neg.f64 y))
(neg.f64 y)
Outputs
#s(approx (* (/ (cos x) y) (sinh y)) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
#s(approx (* (/ (cos x) y) (sinh 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) y) (sinh 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) y) (sinh 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) y) #s(hole binary64 (/ 1 y)))
#s(approx (/ (cos x) y) #s(hole binary64 (+ (* -1/2 (/ (pow x 2) y)) (/ 1 y))))
#s(approx (/ (cos x) y) #s(hole binary64 (+ (* (pow x 2) (- (* 1/24 (/ (pow x 2) y)) (* 1/2 (/ 1 y)))) (/ 1 y))))
#s(approx (/ (cos x) y) #s(hole binary64 (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/720 (/ (pow x 2) y)) (* 1/24 (/ 1 y)))) (* 1/2 (/ 1 y)))) (/ 1 y))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* 1/24 (* 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 (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (/ (cos x) y) (sinh y)) #s(hole binary64 (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))))
#s(approx (/ (cos x) y) #s(hole binary64 (/ (cos x) y)))
#s(approx (cos x) #s(hole binary64 (cos x)))
#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 (* 1/24 (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) y) (sinh y)) #s(hole binary64 (+ (cos x) (* 1/6 (* (pow y 2) (cos x))))))
#s(approx (* (/ (cos x) y) (sinh y)) #s(hole binary64 (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))))
#s(approx (* (/ (cos x) y) (sinh 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 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 (/ 2 (* 2 (sinh y))) #s(hole binary64 (/ (+ 1 (* -1/6 (pow y 2))) y)))
#s(approx (/ 2 (* 2 (sinh y))) #s(hole binary64 (/ (+ 1 (* (pow y 2) (- (* 7/360 (pow y 2)) 1/6))) y)))
#s(approx (/ 2 (* 2 (sinh y))) #s(hole binary64 (/ (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 7/360 (* -31/15120 (pow y 2)))) 1/6))) y)))
#s(approx (* 2 (sinh y)) #s(hole binary64 (* 2 y)))
#s(approx (* 2 (sinh y)) #s(hole binary64 (* y (+ 2 (* 1/3 (pow y 2))))))
#s(approx (* 2 (sinh y)) #s(hole binary64 (* y (+ 2 (* (pow y 2) (+ 1/3 (* 1/60 (pow y 2))))))))
#s(approx (* 2 (sinh y)) #s(hole binary64 (* y (+ 2 (* (pow y 2) (+ 1/3 (* (pow y 2) (+ 1/60 (* 1/2520 (pow y 2))))))))))
#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 (* (neg (exp (neg y))) 1/2) #s(hole binary64 (- (* 1/2 y) 1/2)))
#s(approx (* (neg (exp (neg y))) 1/2) #s(hole binary64 (- (* y (+ 1/2 (* -1/4 y))) 1/2)))
#s(approx (* (neg (exp (neg y))) 1/2) #s(hole binary64 (- (* y (+ 1/2 (* y (- (* 1/12 y) 1/4)))) 1/2)))
#s(approx (neg (exp (neg y))) #s(hole binary64 -1))
#s(approx (neg (exp (neg y))) #s(hole binary64 (- y 1)))
#s(approx (neg (exp (neg y))) #s(hole binary64 (- (* y (+ 1 (* -1/2 y))) 1)))
#s(approx (neg (exp (neg y))) #s(hole binary64 (- (* y (+ 1 (* y (- (* 1/6 y) 1/2)))) 1)))
#s(approx (exp (neg y)) #s(hole binary64 (+ 1 (* -1 y))))
#s(approx (exp (neg y)) #s(hole binary64 (+ 1 (* y (- (* 1/2 y) 1)))))
#s(approx (exp (neg y)) #s(hole binary64 (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))))
#s(approx (neg y) #s(hole binary64 (* -1 y)))
#s(approx (sinh y) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
#s(approx (/ 2 (* 2 (sinh y))) #s(hole binary64 (/ 2 (- (exp y) (/ 1 (exp y))))))
#s(approx (* 2 (sinh y)) #s(hole binary64 (- (exp y) (/ 1 (exp y)))))
#s(approx (/ (+ (* (exp y) 1/2) (* (neg (exp (neg y))) 1/2)) y) #s(hole binary64 (/ (+ (* -1/2 (exp (neg y))) (* 1/2 (exp y))) y)))
#s(approx (+ (* (exp y) 1/2) (* (neg (exp (neg y))) 1/2)) #s(hole binary64 (+ (* -1/2 (exp (neg y))) (* 1/2 (exp y)))))
#s(approx (exp y) #s(hole binary64 (exp y)))
#s(approx (* (neg (exp (neg y))) 1/2) #s(hole binary64 (* -1/2 (exp (neg y)))))
#s(approx (neg (exp (neg y))) #s(hole binary64 (* -1 (exp (neg y)))))
#s(approx (exp (neg y)) #s(hole binary64 (exp (neg y))))
#s(approx (/ (+ (* (exp y) 1/2) (* (neg (exp (neg y))) 1/2)) y) #s(hole binary64 (/ (+ (* -1/2 (exp (* -1 y))) (* 1/2 (exp y))) y)))
#s(approx (+ (* (exp y) 1/2) (* (neg (exp (neg y))) 1/2)) #s(hole binary64 (+ (* -1/2 (exp (* -1 y))) (* 1/2 (exp y)))))
#s(approx (* (neg (exp (neg y))) 1/2) #s(hole binary64 (* -1/2 (exp (* -1 y)))))
#s(approx (neg (exp (neg y))) #s(hole binary64 (* -1 (exp (* -1 y)))))
#s(approx (exp (neg y)) #s(hole binary64 (exp (* -1 y))))
Calls

6 calls:

TimeVariablePointExpression
23.0ms
y
@-inf
((* (/ (cos x) y) (sinh y)) (/ (cos x) y) (cos x) x y (sinh y) (* (cos x) (/ (sinh y) y)) (cos x) 1 (/ (sinh y) y) (sinh y) (* (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) -1/2 (* (cos x) (/ (sinh y) y)) (/ (/ 1 (/ 2 (* 2 (sinh y)))) y) (/ 1 (/ 2 (* 2 (sinh y)))) (/ 2 (* 2 (sinh y))) 2 (* 2 (sinh y)) (* (cos x) (/ (sinh y) y)) (/ (+ (* (exp y) 1/2) (* (neg (exp (neg y))) 1/2)) y) (+ (* (exp y) 1/2) (* (neg (exp (neg y))) 1/2)) (exp y) 1/2 (* (neg (exp (neg y))) 1/2) (neg (exp (neg y))) (exp (neg y)) (neg y))
6.0ms
y
@inf
((* (/ (cos x) y) (sinh y)) (/ (cos x) y) (cos x) x y (sinh y) (* (cos x) (/ (sinh y) y)) (cos x) 1 (/ (sinh y) y) (sinh y) (* (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) -1/2 (* (cos x) (/ (sinh y) y)) (/ (/ 1 (/ 2 (* 2 (sinh y)))) y) (/ 1 (/ 2 (* 2 (sinh y)))) (/ 2 (* 2 (sinh y))) 2 (* 2 (sinh y)) (* (cos x) (/ (sinh y) y)) (/ (+ (* (exp y) 1/2) (* (neg (exp (neg y))) 1/2)) y) (+ (* (exp y) 1/2) (* (neg (exp (neg y))) 1/2)) (exp y) 1/2 (* (neg (exp (neg y))) 1/2) (neg (exp (neg y))) (exp (neg y)) (neg y))
2.0ms
x
@inf
((* (/ (cos x) y) (sinh y)) (/ (cos x) y) (cos x) x y (sinh y) (* (cos x) (/ (sinh y) y)) (cos x) 1 (/ (sinh y) y) (sinh y) (* (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) -1/2 (* (cos x) (/ (sinh y) y)) (/ (/ 1 (/ 2 (* 2 (sinh y)))) y) (/ 1 (/ 2 (* 2 (sinh y)))) (/ 2 (* 2 (sinh y))) 2 (* 2 (sinh y)) (* (cos x) (/ (sinh y) y)) (/ (+ (* (exp y) 1/2) (* (neg (exp (neg y))) 1/2)) y) (+ (* (exp y) 1/2) (* (neg (exp (neg y))) 1/2)) (exp y) 1/2 (* (neg (exp (neg y))) 1/2) (neg (exp (neg y))) (exp (neg y)) (neg y))
2.0ms
y
@0
((* (/ (cos x) y) (sinh y)) (/ (cos x) y) (cos x) x y (sinh y) (* (cos x) (/ (sinh y) y)) (cos x) 1 (/ (sinh y) y) (sinh y) (* (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) -1/2 (* (cos x) (/ (sinh y) y)) (/ (/ 1 (/ 2 (* 2 (sinh y)))) y) (/ 1 (/ 2 (* 2 (sinh y)))) (/ 2 (* 2 (sinh y))) 2 (* 2 (sinh y)) (* (cos x) (/ (sinh y) y)) (/ (+ (* (exp y) 1/2) (* (neg (exp (neg y))) 1/2)) y) (+ (* (exp y) 1/2) (* (neg (exp (neg y))) 1/2)) (exp y) 1/2 (* (neg (exp (neg y))) 1/2) (neg (exp (neg y))) (exp (neg y)) (neg y))
2.0ms
x
@-inf
((* (/ (cos x) y) (sinh y)) (/ (cos x) y) (cos x) x y (sinh y) (* (cos x) (/ (sinh y) y)) (cos x) 1 (/ (sinh y) y) (sinh y) (* (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) -1/2 (* (cos x) (/ (sinh y) y)) (/ (/ 1 (/ 2 (* 2 (sinh y)))) y) (/ 1 (/ 2 (* 2 (sinh y)))) (/ 2 (* 2 (sinh y))) 2 (* 2 (sinh y)) (* (cos x) (/ (sinh y) y)) (/ (+ (* (exp y) 1/2) (* (neg (exp (neg y))) 1/2)) y) (+ (* (exp y) 1/2) (* (neg (exp (neg y))) 1/2)) (exp y) 1/2 (* (neg (exp (neg y))) 1/2) (neg (exp (neg y))) (exp (neg y)) (neg y))

rewrite255.0ms (5.8%)

Memory
29.6MiB live, 180.2MiB allocated; 39ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03191392
03541278
121281227
087071157
1235291157
Stop Event
iter-limit
node-limit
iter-limit
Counts
102 → 356
Calls
Call 1
Inputs
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
(/.f64 (cos.f64 x) y)
(cos.f64 x)
x
y
(sinh.f64 y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) y) y))
#s(approx (cos x) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(approx (sinh y) y) y)
#s(approx (sinh y) y)
(*.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y))
#s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
#s(literal 1/24 binary64)
(*.f64 x x)
#s(literal -1/2 binary64)
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) y))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) (sinh.f64 y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (fma.f64 (exp.f64 y) #s(literal 1/2 binary64) (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) y))
(/.f64 (fma.f64 (exp.f64 y) #s(literal 1/2 binary64) (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) y)
(fma.f64 (exp.f64 y) #s(literal 1/2 binary64) (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
(exp.f64 y)
#s(literal 1/2 binary64)
(*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
(neg.f64 (exp.f64 (neg.f64 y)))
(exp.f64 (neg.f64 y))
(neg.f64 y)
#s(approx (* (/ (cos x) y) (sinh y)) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
#s(approx (* (/ (cos x) y) (sinh 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) y) (sinh 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) y) (sinh 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) y) #s(hole binary64 (/ 1 y)))
#s(approx (/ (cos x) y) #s(hole binary64 (+ (* -1/2 (/ (pow x 2) y)) (/ 1 y))))
#s(approx (/ (cos x) y) #s(hole binary64 (+ (* (pow x 2) (- (* 1/24 (/ (pow x 2) y)) (* 1/2 (/ 1 y)))) (/ 1 y))))
#s(approx (/ (cos x) y) #s(hole binary64 (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/720 (/ (pow x 2) y)) (* 1/24 (/ 1 y)))) (* 1/2 (/ 1 y)))) (/ 1 y))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* 1/24 (* 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 (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (/ (cos x) y) (sinh y)) #s(hole binary64 (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))))
#s(approx (/ (cos x) y) #s(hole binary64 (/ (cos x) y)))
#s(approx (cos x) #s(hole binary64 (cos x)))
#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 (* 1/24 (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) y) (sinh y)) #s(hole binary64 (+ (cos x) (* 1/6 (* (pow y 2) (cos x))))))
#s(approx (* (/ (cos x) y) (sinh y)) #s(hole binary64 (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))))
#s(approx (* (/ (cos x) y) (sinh 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 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 (/ 2 (* 2 (sinh y))) #s(hole binary64 (/ (+ 1 (* -1/6 (pow y 2))) y)))
#s(approx (/ 2 (* 2 (sinh y))) #s(hole binary64 (/ (+ 1 (* (pow y 2) (- (* 7/360 (pow y 2)) 1/6))) y)))
#s(approx (/ 2 (* 2 (sinh y))) #s(hole binary64 (/ (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 7/360 (* -31/15120 (pow y 2)))) 1/6))) y)))
#s(approx (* 2 (sinh y)) #s(hole binary64 (* 2 y)))
#s(approx (* 2 (sinh y)) #s(hole binary64 (* y (+ 2 (* 1/3 (pow y 2))))))
#s(approx (* 2 (sinh y)) #s(hole binary64 (* y (+ 2 (* (pow y 2) (+ 1/3 (* 1/60 (pow y 2))))))))
#s(approx (* 2 (sinh y)) #s(hole binary64 (* y (+ 2 (* (pow y 2) (+ 1/3 (* (pow y 2) (+ 1/60 (* 1/2520 (pow y 2))))))))))
#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 (* (neg (exp (neg y))) 1/2) #s(hole binary64 (- (* 1/2 y) 1/2)))
#s(approx (* (neg (exp (neg y))) 1/2) #s(hole binary64 (- (* y (+ 1/2 (* -1/4 y))) 1/2)))
#s(approx (* (neg (exp (neg y))) 1/2) #s(hole binary64 (- (* y (+ 1/2 (* y (- (* 1/12 y) 1/4)))) 1/2)))
#s(approx (neg (exp (neg y))) #s(hole binary64 -1))
#s(approx (neg (exp (neg y))) #s(hole binary64 (- y 1)))
#s(approx (neg (exp (neg y))) #s(hole binary64 (- (* y (+ 1 (* -1/2 y))) 1)))
#s(approx (neg (exp (neg y))) #s(hole binary64 (- (* y (+ 1 (* y (- (* 1/6 y) 1/2)))) 1)))
#s(approx (exp (neg y)) #s(hole binary64 (+ 1 (* -1 y))))
#s(approx (exp (neg y)) #s(hole binary64 (+ 1 (* y (- (* 1/2 y) 1)))))
#s(approx (exp (neg y)) #s(hole binary64 (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))))
#s(approx (neg y) #s(hole binary64 (* -1 y)))
#s(approx (sinh y) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
#s(approx (/ 2 (* 2 (sinh y))) #s(hole binary64 (/ 2 (- (exp y) (/ 1 (exp y))))))
#s(approx (* 2 (sinh y)) #s(hole binary64 (- (exp y) (/ 1 (exp y)))))
#s(approx (/ (+ (* (exp y) 1/2) (* (neg (exp (neg y))) 1/2)) y) #s(hole binary64 (/ (+ (* -1/2 (exp (neg y))) (* 1/2 (exp y))) y)))
#s(approx (+ (* (exp y) 1/2) (* (neg (exp (neg y))) 1/2)) #s(hole binary64 (+ (* -1/2 (exp (neg y))) (* 1/2 (exp y)))))
#s(approx (exp y) #s(hole binary64 (exp y)))
#s(approx (* (neg (exp (neg y))) 1/2) #s(hole binary64 (* -1/2 (exp (neg y)))))
#s(approx (neg (exp (neg y))) #s(hole binary64 (* -1 (exp (neg y)))))
#s(approx (exp (neg y)) #s(hole binary64 (exp (neg y))))
#s(approx (/ (+ (* (exp y) 1/2) (* (neg (exp (neg y))) 1/2)) y) #s(hole binary64 (/ (+ (* -1/2 (exp (* -1 y))) (* 1/2 (exp y))) y)))
#s(approx (+ (* (exp y) 1/2) (* (neg (exp (neg y))) 1/2)) #s(hole binary64 (+ (* -1/2 (exp (* -1 y))) (* 1/2 (exp y)))))
#s(approx (* (neg (exp (neg y))) 1/2) #s(hole binary64 (* -1/2 (exp (* -1 y)))))
#s(approx (neg (exp (neg y))) #s(hole binary64 (* -1 (exp (* -1 y)))))
#s(approx (exp (neg y)) #s(hole binary64 (exp (* -1 y))))
Outputs
(*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (*.f64 (neg.f64 (cos.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (*.f64 (neg.f64 y) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (neg.f64 (cos.f64 x))) (*.f64 #s(literal 2 binary64) (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 (cos.f64 x) (sinh.f64 y))) (neg.f64 y))
(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)
(/.f64 (*.f64 (cos.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (+.f64 y y))
(*.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) y))
(/.f64 (neg.f64 (neg.f64 (cos.f64 x))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (cos.f64 x)) (neg.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 y (cos.f64 x)))
(/.f64 (cos.f64 x) y)
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (fabs.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))
(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 (fabs.f64 x)))
(cos.f64 (fabs.f64 (fabs.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 (fabs.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
y
(/.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)))
(+.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 2 binary64)))
(+.f64 (/.f64 (sinh.f64 y) #s(literal 2 binary64)) (/.f64 (sinh.f64 y) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(approx (sinh y) y) y) #s(approx (cos x) #s(literal 1 binary64)))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) y) y))
(/.f64 (neg.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (sinh y) y))) (neg.f64 y))
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (sinh y) y)) y)
#s(approx (cos x) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(approx (sinh y) y) (/.f64 #s(literal 1 binary64) 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)
(/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (sinh y) y)))
#s(approx (sinh y) y)
(*.f64 #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))) (/.f64 #s(approx (sinh y) y) y))
(*.f64 (/.f64 #s(approx (sinh y) y) y) #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))))
(/.f64 (neg.f64 (*.f64 #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 (sinh y) y))) (neg.f64 y))
(/.f64 (*.f64 #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 (sinh y) y)) y)
#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)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (*.f64 (neg.f64 (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 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)) #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 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (*.f64 (neg.f64 (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (neg.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 #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) (neg.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) x))))))
(/.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)) #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) x #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 2 binary64)) #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 (-.f64 #s(literal 1 binary64) (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) (neg.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (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 (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)) #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 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (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 #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)))))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) x #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))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #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 x x)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))
(-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) x)))
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(*.f64 (sinh.f64 y) (/.f64 #s(literal 1 binary64) y))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) y) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) y) (/.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) y)) (*.f64 (/.f64 (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) y) (/.f64 (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) y))) (-.f64 (/.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) y) (/.f64 (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) y)))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) y) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) y) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) y) (/.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) y) (-.f64 (*.f64 (/.f64 (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) y) (/.f64 (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) y)) (*.f64 (/.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) y) (/.f64 (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) y)))))
(/.f64 (fma.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) y (*.f64 y (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))) (*.f64 y y))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal 1 binary64)) (*.f64 (neg.f64 y) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1 binary64)) (+.f64 y y))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) (*.f64 #s(literal 2 binary64) (neg.f64 y)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (+.f64 y y))
(/.f64 (neg.f64 (sinh.f64 (neg.f64 y))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))) (neg.f64 y))
(/.f64 (sinh.f64 (neg.f64 y)) (neg.f64 y))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y))) y))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) (neg.f64 y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) y)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)) y)
(/.f64 (sinh.f64 y) y)
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y))) (neg.f64 y)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) y))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 y (sinh.f64 y)))
(-.f64 (/.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) y) (/.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) y))
(-.f64 (/.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) y) (/.f64 (*.f64 (neg.f64 (neg.f64 (exp.f64 (neg.f64 y)))) #s(literal 1/2 binary64)) y))
(-.f64 (/.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) y) (/.f64 (neg.f64 (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) y))
(+.f64 (/.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) y) (/.f64 (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) y))
(+.f64 (/.f64 (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) y) (/.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) y))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) (*.f64 (exp.f64 y) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (neg.f64 (exp.f64 (neg.f64 y)))) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (neg.f64 (exp.f64 (neg.f64 y)))) #s(literal 1/2 binary64)))) (fma.f64 (exp.f64 y) #s(literal 1/2 binary64) (*.f64 (neg.f64 (neg.f64 (exp.f64 (neg.f64 y)))) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (pow.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 3 binary64)) #s(literal 1/8 binary64) (*.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 1/8 binary64))) (fma.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) (*.f64 (exp.f64 y) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (neg.f64 (neg.f64 (exp.f64 (neg.f64 y)))) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (neg.f64 (neg.f64 (exp.f64 (neg.f64 y)))) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (neg.f64 (exp.f64 (neg.f64 y)))) #s(literal 1/2 binary64)) (*.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (neg.f64 (exp.f64 (neg.f64 y)))) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 1/8 binary64)) (pow.f64 (neg.f64 (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (fma.f64 (exp.f64 y) #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (fma.f64 (exp.f64 y) #s(literal 1/2 binary64) (neg.f64 (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 1/8 binary64) (*.f64 (pow.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))))))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 y))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 y)))
(fma.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64) (*.f64 (exp.f64 y) #s(literal 1/2 binary64)))
(fma.f64 (exp.f64 y) #s(literal 1/2 binary64) (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 y))) (*.f64 (exp.f64 y) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 y) (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
(-.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)))
(-.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (neg.f64 (exp.f64 (neg.f64 y)))) #s(literal 1/2 binary64)))
(-.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))))
(+.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) (*.f64 (exp.f64 y) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 (cosh.f64 y) (cosh.f64 y)) (*.f64 (sinh.f64 y) (sinh.f64 y))) (exp.f64 (neg.f64 y)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 y) #s(literal 3 binary64)) (pow.f64 (sinh.f64 y) #s(literal 3 binary64))) (fma.f64 (cosh.f64 y) (cosh.f64 y) (-.f64 (*.f64 (sinh.f64 y) (sinh.f64 y)) (*.f64 (cosh.f64 y) (sinh.f64 y)))))
(sqrt.f64 (exp.f64 (+.f64 y y)))
(fabs.f64 (neg.f64 (exp.f64 y)))
(fabs.f64 (exp.f64 y))
(exp.f64 y)
(+.f64 (cosh.f64 y) (sinh.f64 y))
#s(literal 1/2 binary64)
(*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 y))))
(neg.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 y)))
(*.f64 (exp.f64 (neg.f64 y)) #s(literal -1 binary64))
(neg.f64 (exp.f64 (neg.f64 y)))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 y)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) y)
(pow.f64 (exp.f64 y) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 y) (cosh.f64 y)) (*.f64 (sinh.f64 (neg.f64 y)) (sinh.f64 (neg.f64 y)))) (-.f64 (cosh.f64 y) (sinh.f64 (neg.f64 y))))
(/.f64 (-.f64 (*.f64 (cosh.f64 y) (cosh.f64 y)) (*.f64 (sinh.f64 y) (sinh.f64 y))) (exp.f64 y))
(/.f64 (+.f64 (pow.f64 (cosh.f64 y) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 y)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 y) (cosh.f64 y) (-.f64 (*.f64 (sinh.f64 (neg.f64 y)) (sinh.f64 (neg.f64 y))) (*.f64 (cosh.f64 y) (sinh.f64 (neg.f64 y))))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 y) #s(literal 3 binary64)) (pow.f64 (sinh.f64 y) #s(literal 3 binary64))) (fma.f64 (cosh.f64 y) (cosh.f64 y) (fma.f64 (sinh.f64 y) (sinh.f64 y) (*.f64 (cosh.f64 y) (sinh.f64 y)))))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (exp.f64 y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 y)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 y)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (exp.f64 y))
(sqrt.f64 (exp.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64))))
(-.f64 (cosh.f64 y) (sinh.f64 y))
(fabs.f64 (-.f64 (sinh.f64 y) (cosh.f64 y)))
(fabs.f64 (neg.f64 (exp.f64 (neg.f64 y))))
(fabs.f64 (exp.f64 (neg.f64 y)))
(exp.f64 (+.f64 #s(literal 0 binary64) (neg.f64 y)))
(exp.f64 (-.f64 #s(literal 0 binary64) y))
(exp.f64 (neg.f64 y))
(+.f64 (cosh.f64 y) (sinh.f64 (neg.f64 y)))
(*.f64 #s(literal -1 binary64) y)
(*.f64 y #s(literal -1 binary64))
(neg.f64 y)
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (sinh.f64 y) y))
#s(approx (* (cos x) (/ (sinh y) y)) (fma.f64 (*.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y)) #s(literal -1/4 binary64) (/.f64 (sinh.f64 y) y)))
#s(approx (* (cos x) (/ (sinh y) y)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (*.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) y) (*.f64 x x) (/.f64 (sinh.f64 y) y)))
#s(approx (* (cos x) (/ (sinh y) y)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 (*.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) (/.f64 (sinh.f64 y) y)))
#s(approx (/ (cos x) y) (/.f64 #s(literal 1 binary64) y))
#s(approx (/ (cos x) y) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) y))
#s(approx (/ (cos x) y) (fma.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) y) (*.f64 x x) (/.f64 #s(literal 1 binary64) y)))
#s(approx (/ (cos x) y) (fma.f64 (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) y) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) (/.f64 #s(literal 1 binary64) y)))
#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 (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)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx 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 (* x x) (*.f64 x x))
#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) y) (/.f64 (cos.f64 x) y))
#s(approx (cos x) (cos.f64 x))
#s(approx (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) #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))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* 1/24 (* x x)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
#s(approx (+ (* 1/24 (* x x)) -1/2) (*.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.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 #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) (/ (sinh y) 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 y y)
#s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))
#s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))
#s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (/ 2 (* 2 (sinh y))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))
#s(approx (/ 2 (* 2 (sinh y))) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))
#s(approx (/ 2 (* 2 (sinh y))) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -31/15120 binary64) (*.f64 y y) #s(literal 7/360 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))
#s(approx (* 2 (sinh y)) (+.f64 y y))
#s(approx (* 2 (sinh y)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y))
#s(approx (* 2 (sinh y)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y))
#s(approx (* 2 (sinh y)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y))
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
#s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (* (neg (exp (neg y))) 1/2) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1/2 binary64)))
#s(approx (* (neg (exp (neg y))) 1/2) (fma.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal 1/2 binary64)) y #s(literal -1/2 binary64)))
#s(approx (* (neg (exp (neg y))) 1/2) (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 (neg (exp (neg y))) #s(literal -1 binary64))
#s(approx (neg (exp (neg y))) (-.f64 y #s(literal 1 binary64)))
#s(approx (neg (exp (neg y))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1 binary64)) y #s(literal -1 binary64)))
#s(approx (neg (exp (neg 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)) (-.f64 #s(literal 1 binary64) y))
#s(approx (exp (neg y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))
#s(approx (exp (neg 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 (neg y) (neg.f64 y))
#s(approx (sinh y) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))
#s(approx (/ 2 (* 2 (sinh y))) (/.f64 #s(literal 1 binary64) (sinh.f64 y)))
#s(approx (* 2 (sinh y)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))
#s(approx (/ (sinh y) y) (/.f64 (fma.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64) (*.f64 (exp.f64 y) #s(literal 1/2 binary64))) y))
#s(approx (+ (* (exp y) 1/2) (* (neg (exp (neg y))) 1/2)) (fma.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64) (*.f64 (exp.f64 y) #s(literal 1/2 binary64))))
#s(approx (exp y) (exp.f64 y))
#s(approx (* (neg (exp (neg y))) 1/2) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)))
#s(approx (neg (exp (neg y))) (neg.f64 (exp.f64 (neg.f64 y))))
#s(approx (exp (neg y)) (exp.f64 (neg.f64 y)))
#s(approx (/ (sinh y) y) (/.f64 (fma.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64) (*.f64 (exp.f64 y) #s(literal 1/2 binary64))) y))
#s(approx (+ (* (exp y) 1/2) (* (neg (exp (neg y))) 1/2)) (fma.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64) (*.f64 (exp.f64 y) #s(literal 1/2 binary64))))
#s(approx (* (neg (exp (neg y))) 1/2) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)))
#s(approx (neg (exp (neg y))) (neg.f64 (exp.f64 (neg.f64 y))))
#s(approx (exp (neg y)) (exp.f64 (neg.f64 y)))

eval44.0ms (1%)

Memory
-8.0MiB live, 83.6MiB allocated; 12ms collecting garbage
Compiler

Compiled 2 831 to 1 375 computations (51.4% saved)

prune20.0ms (0.5%)

Memory
2.0MiB live, 47.4MiB allocated; 6ms collecting garbage
Pruning

23 alts after pruning (18 fresh and 5 done)

PrunedKeptTotal
New2717278
Fresh31114
Picked325
Done033
Total27723300
Accuracy
100.0%
Counts
300 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
62.7%
(*.f64 (/.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) y) (sinh.f64 y))
62.7%
(*.f64 (*.f64 (sinh.f64 y) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) y))
52.1%
(*.f64 (*.f64 #s(approx (sinh y) y) (cos.f64 x)) (/.f64 #s(literal 1 binary64) y))
49.1%
(*.f64 (sin.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
100.0%
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
52.2%
(*.f64 (cos.f64 x) (/.f64 #s(approx (sinh y) y) y))
76.7%
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
27.7%
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
33.9%
(*.f64 #s(approx (cos x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y))
62.7%
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) y))
62.7%
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) y) (sinh.f64 y)))
15.5%
(*.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))
29.8%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) y) y))
29.8%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 #s(approx (sinh y) y) (/.f64 #s(literal 1 binary64) y)))
46.0%
(*.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))))
35.2%
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (fma.f64 (exp.f64 y) #s(literal 1/2 binary64) (*.f64 #s(approx (neg (exp (neg y))) #s(literal -1 binary64)) #s(literal 1/2 binary64))) y))
19.2%
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (fma.f64 #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) y))
29.7%
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (* 2 (sinh y)) (+.f64 y y)))) y))
29.6%
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* 2 (sinh y))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))) y))
62.6%
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (sinh.f64 y) y))
51.7%
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
57.3%
#s(approx (* (cos x) (/ (sinh y) y)) #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))))
Compiler

Compiled 567 to 555 computations (2.1% saved)

series20.0ms (0.5%)

Memory
8.9MiB live, 59.9MiB allocated; 11ms collecting garbage
Counts
38 → 67
Calls
Call 1
Inputs
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
(cos.f64 x)
x
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))
(*.f64 #s(literal 1/6 binary64) y)
#s(literal 1/6 binary64)
y
#s(literal 1 binary64)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 #s(approx (sinh y) y) (/.f64 #s(literal 1 binary64) y)))
#s(approx (cos x) #s(literal 1 binary64))
(*.f64 #s(approx (sinh y) y) (/.f64 #s(literal 1 binary64) y))
#s(approx (sinh y) y)
(/.f64 #s(literal 1 binary64) y)
(*.f64 #s(approx (cos x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y))
#s(approx (cos x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
#s(approx (+ (* 1/24 (* x x)) -1/2) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 x x)
(/.f64 #s(approx (sinh y) 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))
#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)
(sinh.f64 y)
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (fma.f64 #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) y))
(/.f64 (fma.f64 #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) y)
(fma.f64 #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
#s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))
#s(literal 1/2 binary64)
(*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
(neg.f64 (exp.f64 (neg.f64 y)))
(exp.f64 (neg.f64 y))
(neg.f64 y)
Outputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* 1/24 (* 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 (* x x) #s(hole binary64 (pow x 2)))
#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) #s(hole binary64 (cos x)))
#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 (* 1/24 (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 (+ (* -1/2 (* x x)) 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 (/ (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 (* 1/6 y) #s(hole binary64 (* 1/6 y)))
#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 (/ 1 y) #s(hole binary64 (/ 1 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 (+ (* 1/2 y) 1) #s(hole binary64 (+ 1 (* 1/2 y))))
#s(approx (* (neg (exp (neg y))) 1/2) #s(hole binary64 (- (* 1/2 y) 1/2)))
#s(approx (* (neg (exp (neg y))) 1/2) #s(hole binary64 (- (* y (+ 1/2 (* -1/4 y))) 1/2)))
#s(approx (* (neg (exp (neg y))) 1/2) #s(hole binary64 (- (* y (+ 1/2 (* y (- (* 1/12 y) 1/4)))) 1/2)))
#s(approx (neg (exp (neg y))) #s(hole binary64 -1))
#s(approx (neg (exp (neg y))) #s(hole binary64 (- y 1)))
#s(approx (neg (exp (neg y))) #s(hole binary64 (- (* y (+ 1 (* -1/2 y))) 1)))
#s(approx (neg (exp (neg y))) #s(hole binary64 (- (* y (+ 1 (* y (- (* 1/6 y) 1/2)))) 1)))
#s(approx (exp (neg y)) #s(hole binary64 (+ 1 (* -1 y))))
#s(approx (exp (neg y)) #s(hole binary64 (+ 1 (* y (- (* 1/2 y) 1)))))
#s(approx (exp (neg y)) #s(hole binary64 (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))))
#s(approx (neg y) #s(hole binary64 (* -1 y)))
#s(approx (+ (* (* 1/6 y) y) 1) #s(hole binary64 (* 1/6 (pow y 2))))
#s(approx (+ (* (* 1/6 y) y) 1) #s(hole binary64 (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))))
#s(approx (sinh y) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
#s(approx (/ (+ (* (exp y) 1/2) (* (neg (exp (neg y))) 1/2)) y) #s(hole binary64 (/ (+ (* -1/2 (exp (neg y))) (* 1/2 (exp y))) y)))
#s(approx (+ (* (exp y) 1/2) (* (neg (exp (neg y))) 1/2)) #s(hole binary64 (+ (* -1/2 (exp (neg y))) (* 1/2 (exp y)))))
#s(approx (exp y) #s(hole binary64 (exp y)))
#s(approx (+ (* (+ (* 1/2 y) 1) y) 1) #s(hole binary64 (* 1/2 (pow y 2))))
#s(approx (+ (* (+ (* 1/2 y) 1) y) 1) #s(hole binary64 (* (pow y 2) (+ 1/2 (/ 1 y)))))
#s(approx (+ (* (+ (* 1/2 y) 1) y) 1) #s(hole binary64 (* (pow y 2) (+ 1/2 (+ (/ 1 y) (/ 1 (pow y 2)))))))
#s(approx (+ (* 1/2 y) 1) #s(hole binary64 (* 1/2 y)))
#s(approx (+ (* 1/2 y) 1) #s(hole binary64 (* y (+ 1/2 (/ 1 y)))))
#s(approx (* (neg (exp (neg y))) 1/2) #s(hole binary64 (* -1/2 (exp (neg y)))))
#s(approx (neg (exp (neg y))) #s(hole binary64 (* -1 (exp (neg y)))))
#s(approx (exp (neg y)) #s(hole binary64 (exp (neg y))))
#s(approx (/ (+ (* (exp y) 1/2) (* (neg (exp (neg y))) 1/2)) y) #s(hole binary64 (/ (+ (* -1/2 (exp (* -1 y))) (* 1/2 (exp y))) y)))
#s(approx (+ (* (exp y) 1/2) (* (neg (exp (neg y))) 1/2)) #s(hole binary64 (+ (* -1/2 (exp (* -1 y))) (* 1/2 (exp y)))))
#s(approx (* (neg (exp (neg y))) 1/2) #s(hole binary64 (* -1/2 (exp (* -1 y)))))
#s(approx (neg (exp (neg y))) #s(hole binary64 (* -1 (exp (* -1 y)))))
#s(approx (exp (neg y)) #s(hole binary64 (exp (* -1 y))))
Calls

6 calls:

TimeVariablePointExpression
7.0ms
x
@-inf
((* (cos x) (/ (sinh y) y)) (cos x) x (/ (sinh y) y) (+ (* (* 1/6 y) y) 1) (* 1/6 y) 1/6 y 1 (* (cos x) (* (sinh y) (/ 1 y))) (cos x) (* (sinh y) (/ 1 y)) (sinh y) (/ 1 y) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) (+ (* 1/24 (* x x)) -1/2) -1/2 (* x x) (/ (sinh y) y) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* -1/2 (* x x)) 1) (* (* x x) -1/2) (/ (sinh y) y) (sinh y) (* (cos x) (/ (sinh y) y)) (/ (+ (* (exp y) 1/2) (* (neg (exp (neg y))) 1/2)) y) (+ (* (exp y) 1/2) (* (neg (exp (neg y))) 1/2)) (exp y) (+ (* (+ (* 1/2 y) 1) y) 1) (+ (* 1/2 y) 1) 1/2 (* (neg (exp (neg y))) 1/2) (neg (exp (neg y))) (exp (neg y)) (neg y))
4.0ms
y
@-inf
((* (cos x) (/ (sinh y) y)) (cos x) x (/ (sinh y) y) (+ (* (* 1/6 y) y) 1) (* 1/6 y) 1/6 y 1 (* (cos x) (* (sinh y) (/ 1 y))) (cos x) (* (sinh y) (/ 1 y)) (sinh y) (/ 1 y) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) (+ (* 1/24 (* x x)) -1/2) -1/2 (* x x) (/ (sinh y) y) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* -1/2 (* x x)) 1) (* (* x x) -1/2) (/ (sinh y) y) (sinh y) (* (cos x) (/ (sinh y) y)) (/ (+ (* (exp y) 1/2) (* (neg (exp (neg y))) 1/2)) y) (+ (* (exp y) 1/2) (* (neg (exp (neg y))) 1/2)) (exp y) (+ (* (+ (* 1/2 y) 1) y) 1) (+ (* 1/2 y) 1) 1/2 (* (neg (exp (neg y))) 1/2) (neg (exp (neg y))) (exp (neg y)) (neg y))
3.0ms
y
@inf
((* (cos x) (/ (sinh y) y)) (cos x) x (/ (sinh y) y) (+ (* (* 1/6 y) y) 1) (* 1/6 y) 1/6 y 1 (* (cos x) (* (sinh y) (/ 1 y))) (cos x) (* (sinh y) (/ 1 y)) (sinh y) (/ 1 y) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) (+ (* 1/24 (* x x)) -1/2) -1/2 (* x x) (/ (sinh y) y) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* -1/2 (* x x)) 1) (* (* x x) -1/2) (/ (sinh y) y) (sinh y) (* (cos x) (/ (sinh y) y)) (/ (+ (* (exp y) 1/2) (* (neg (exp (neg y))) 1/2)) y) (+ (* (exp y) 1/2) (* (neg (exp (neg y))) 1/2)) (exp y) (+ (* (+ (* 1/2 y) 1) y) 1) (+ (* 1/2 y) 1) 1/2 (* (neg (exp (neg y))) 1/2) (neg (exp (neg y))) (exp (neg y)) (neg y))
2.0ms
x
@inf
((* (cos x) (/ (sinh y) y)) (cos x) x (/ (sinh y) y) (+ (* (* 1/6 y) y) 1) (* 1/6 y) 1/6 y 1 (* (cos x) (* (sinh y) (/ 1 y))) (cos x) (* (sinh y) (/ 1 y)) (sinh y) (/ 1 y) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) (+ (* 1/24 (* x x)) -1/2) -1/2 (* x x) (/ (sinh y) y) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* -1/2 (* x x)) 1) (* (* x x) -1/2) (/ (sinh y) y) (sinh y) (* (cos x) (/ (sinh y) y)) (/ (+ (* (exp y) 1/2) (* (neg (exp (neg y))) 1/2)) y) (+ (* (exp y) 1/2) (* (neg (exp (neg y))) 1/2)) (exp y) (+ (* (+ (* 1/2 y) 1) y) 1) (+ (* 1/2 y) 1) 1/2 (* (neg (exp (neg y))) 1/2) (neg (exp (neg y))) (exp (neg y)) (neg y))
2.0ms
y
@0
((* (cos x) (/ (sinh y) y)) (cos x) x (/ (sinh y) y) (+ (* (* 1/6 y) y) 1) (* 1/6 y) 1/6 y 1 (* (cos x) (* (sinh y) (/ 1 y))) (cos x) (* (sinh y) (/ 1 y)) (sinh y) (/ 1 y) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) (+ (* 1/24 (* x x)) -1/2) -1/2 (* x x) (/ (sinh y) y) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* -1/2 (* x x)) 1) (* (* x x) -1/2) (/ (sinh y) y) (sinh y) (* (cos x) (/ (sinh y) y)) (/ (+ (* (exp y) 1/2) (* (neg (exp (neg y))) 1/2)) y) (+ (* (exp y) 1/2) (* (neg (exp (neg y))) 1/2)) (exp y) (+ (* (+ (* 1/2 y) 1) y) 1) (+ (* 1/2 y) 1) 1/2 (* (neg (exp (neg y))) 1/2) (neg (exp (neg y))) (exp (neg y)) (neg y))

rewrite243.0ms (5.6%)

Memory
2.5MiB live, 322.8MiB allocated; 41ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02861409
03201347
118671264
081601192
1219521192
Stop Event
iter-limit
node-limit
iter-limit
Counts
105 → 359
Calls
Call 1
Inputs
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
(cos.f64 x)
x
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))
(*.f64 #s(literal 1/6 binary64) y)
#s(literal 1/6 binary64)
y
#s(literal 1 binary64)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 #s(approx (sinh y) y) (/.f64 #s(literal 1 binary64) y)))
#s(approx (cos x) #s(literal 1 binary64))
(*.f64 #s(approx (sinh y) y) (/.f64 #s(literal 1 binary64) y))
#s(approx (sinh y) y)
(/.f64 #s(literal 1 binary64) y)
(*.f64 #s(approx (cos x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y))
#s(approx (cos x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
#s(approx (+ (* 1/24 (* x x)) -1/2) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 x x)
(/.f64 #s(approx (sinh y) 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))
#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)
(sinh.f64 y)
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (fma.f64 #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) y))
(/.f64 (fma.f64 #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) y)
(fma.f64 #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
#s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))
#s(literal 1/2 binary64)
(*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
(neg.f64 (exp.f64 (neg.f64 y)))
(exp.f64 (neg.f64 y))
(neg.f64 y)
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* 1/24 (* 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 (* x x) #s(hole binary64 (pow x 2)))
#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) #s(hole binary64 (cos x)))
#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 (* 1/24 (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 (+ (* -1/2 (* x x)) 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 (/ (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 (* 1/6 y) #s(hole binary64 (* 1/6 y)))
#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 (/ 1 y) #s(hole binary64 (/ 1 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 (+ (* 1/2 y) 1) #s(hole binary64 (+ 1 (* 1/2 y))))
#s(approx (* (neg (exp (neg y))) 1/2) #s(hole binary64 (- (* 1/2 y) 1/2)))
#s(approx (* (neg (exp (neg y))) 1/2) #s(hole binary64 (- (* y (+ 1/2 (* -1/4 y))) 1/2)))
#s(approx (* (neg (exp (neg y))) 1/2) #s(hole binary64 (- (* y (+ 1/2 (* y (- (* 1/12 y) 1/4)))) 1/2)))
#s(approx (neg (exp (neg y))) #s(hole binary64 -1))
#s(approx (neg (exp (neg y))) #s(hole binary64 (- y 1)))
#s(approx (neg (exp (neg y))) #s(hole binary64 (- (* y (+ 1 (* -1/2 y))) 1)))
#s(approx (neg (exp (neg y))) #s(hole binary64 (- (* y (+ 1 (* y (- (* 1/6 y) 1/2)))) 1)))
#s(approx (exp (neg y)) #s(hole binary64 (+ 1 (* -1 y))))
#s(approx (exp (neg y)) #s(hole binary64 (+ 1 (* y (- (* 1/2 y) 1)))))
#s(approx (exp (neg y)) #s(hole binary64 (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))))
#s(approx (neg y) #s(hole binary64 (* -1 y)))
#s(approx (+ (* (* 1/6 y) y) 1) #s(hole binary64 (* 1/6 (pow y 2))))
#s(approx (+ (* (* 1/6 y) y) 1) #s(hole binary64 (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))))
#s(approx (sinh y) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
#s(approx (/ (+ (* (exp y) 1/2) (* (neg (exp (neg y))) 1/2)) y) #s(hole binary64 (/ (+ (* -1/2 (exp (neg y))) (* 1/2 (exp y))) y)))
#s(approx (+ (* (exp y) 1/2) (* (neg (exp (neg y))) 1/2)) #s(hole binary64 (+ (* -1/2 (exp (neg y))) (* 1/2 (exp y)))))
#s(approx (exp y) #s(hole binary64 (exp y)))
#s(approx (+ (* (+ (* 1/2 y) 1) y) 1) #s(hole binary64 (* 1/2 (pow y 2))))
#s(approx (+ (* (+ (* 1/2 y) 1) y) 1) #s(hole binary64 (* (pow y 2) (+ 1/2 (/ 1 y)))))
#s(approx (+ (* (+ (* 1/2 y) 1) y) 1) #s(hole binary64 (* (pow y 2) (+ 1/2 (+ (/ 1 y) (/ 1 (pow y 2)))))))
#s(approx (+ (* 1/2 y) 1) #s(hole binary64 (* 1/2 y)))
#s(approx (+ (* 1/2 y) 1) #s(hole binary64 (* y (+ 1/2 (/ 1 y)))))
#s(approx (* (neg (exp (neg y))) 1/2) #s(hole binary64 (* -1/2 (exp (neg y)))))
#s(approx (neg (exp (neg y))) #s(hole binary64 (* -1 (exp (neg y)))))
#s(approx (exp (neg y)) #s(hole binary64 (exp (neg y))))
#s(approx (/ (+ (* (exp y) 1/2) (* (neg (exp (neg y))) 1/2)) y) #s(hole binary64 (/ (+ (* -1/2 (exp (* -1 y))) (* 1/2 (exp y))) y)))
#s(approx (+ (* (exp y) 1/2) (* (neg (exp (neg y))) 1/2)) #s(hole binary64 (+ (* -1/2 (exp (* -1 y))) (* 1/2 (exp y)))))
#s(approx (* (neg (exp (neg y))) 1/2) #s(hole binary64 (* -1/2 (exp (* -1 y)))))
#s(approx (neg (exp (neg y))) #s(hole binary64 (* -1 (exp (* -1 y)))))
#s(approx (exp (neg y)) #s(hole binary64 (exp (* -1 y))))
Outputs
(*.f64 (cos.f64 x) #s(approx (/ (+ (* (exp y) 1/2) (* (neg (exp (neg y))) 1/2)) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (+ (* (exp y) 1/2) (* (neg (exp (neg y))) 1/2)) 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 1/2 binary64))))
(sin.f64 (+.f64 (fabs.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 x (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (sin.f64 x) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (cos.f64 x) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 x)))
(cos.f64 (neg.f64 (fabs.f64 x)))
(cos.f64 (fabs.f64 (fabs.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 (fabs.f64 x))
(cos.f64 x)
(+.f64 (*.f64 (sin.f64 x) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (cos.f64 x) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
x
#s(approx (/ (+ (* (exp y) 1/2) (* (neg (exp (neg y))) 1/2)) 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 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 y y) y))) #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #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 (-.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) #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) (neg.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 y y))) (+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 y y))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 y y)) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 y y)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 y y) y)))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 y y)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))))
(/.f64 (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 y y) y)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
(neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 y (*.f64 #s(literal 1/6 binary64) y) #s(literal 1 binary64))
(-.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))
(+.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))
(*.f64 #s(literal 1/6 binary64) y)
(*.f64 y #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
y
#s(literal 1 binary64)
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(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 y) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 y) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))) (*.f64 (neg.f64 y) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))) (*.f64 y y) (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y))))))
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(neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)))))
(neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(fma.f64 y (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y)))
(+.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) y)
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (*.f64 (/.f64 y y) (/.f64 y y))) (-.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 y y)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 y y) y))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) y)))))
(/.f64 (fma.f64 (*.f64 (*.f64 y y) y) #s(literal 1/8 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (*.f64 (*.f64 y y) y) #s(literal 1/8 binary64) (pow.f64 (/.f64 y y) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (-.f64 (*.f64 (/.f64 y y) (/.f64 y y)) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 y y)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/8 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)))))
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(neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 1/2 binary64) y))))
(neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) y)))
(fma.f64 #s(literal 1/2 binary64) y (/.f64 y y))
(fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))
(fma.f64 y #s(literal 1/2 binary64) (/.f64 y y))
(fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal 1/2 binary64) y)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) y))
(+.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 y y))
(+.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) y))
#s(literal 1/2 binary64)
(*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 y))))
(neg.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 y)))
(*.f64 (exp.f64 (neg.f64 y)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (exp.f64 y))
(neg.f64 (exp.f64 (neg.f64 y)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 y))))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 y)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) y)
(pow.f64 (exp.f64 y) #s(literal -1 binary64))
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(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 y)))
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(/.f64 #s(literal 1 binary64) (exp.f64 y))
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(-.f64 (cosh.f64 y) (sinh.f64 y))
(fabs.f64 (-.f64 (sinh.f64 y) (cosh.f64 y)))
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(fabs.f64 (exp.f64 (neg.f64 y)))
(exp.f64 (+.f64 #s(literal 0 binary64) (neg.f64 y)))
(exp.f64 (-.f64 #s(literal 0 binary64) y))
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(*.f64 #s(literal -1 binary64) y)
(*.f64 y #s(literal -1 binary64))
(neg.f64 y)
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#s(approx (cos x) #s(literal 1 binary64))
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#s(approx x x)
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#s(approx (* x x) (*.f64 x x))
#s(approx (* (* x x) -1/2) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
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#s(approx (cos x) (cos.f64 x))
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#s(approx (* (cos x) (/ (sinh y) y)) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (cos.f64 x) (cos.f64 x)))
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#s(approx (* 1/6 y) (*.f64 #s(literal 1/6 binary64) y))
#s(approx y y)
#s(approx (+ (* (exp y) 1/2) (* (neg (exp (neg y))) 1/2)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))
#s(approx (+ (* (exp y) 1/2) (* (neg (exp (neg y))) 1/2)) (*.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))
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#s(approx (/ 1 y) (/.f64 #s(literal 1 binary64) y))
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
#s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (+ (* 1/2 y) 1) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)))
#s(approx (* (neg (exp (neg y))) 1/2) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1/2 binary64)))
#s(approx (* (neg (exp (neg y))) 1/2) (fma.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal 1/2 binary64)) y #s(literal -1/2 binary64)))
#s(approx (* (neg (exp (neg y))) 1/2) (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 (neg (exp (neg y))) #s(literal -1 binary64))
#s(approx (neg (exp (neg y))) (-.f64 y #s(literal 1 binary64)))
#s(approx (neg (exp (neg y))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1 binary64)) y #s(literal -1 binary64)))
#s(approx (neg (exp (neg 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)) (-.f64 #s(literal 1 binary64) y))
#s(approx (exp (neg y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))
#s(approx (exp (neg 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 (neg y) (neg.f64 y))
#s(approx (+ (* (* 1/6 y) y) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))
#s(approx (+ (* (* 1/6 y) y) 1) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (exp y) 1/2) (* (neg (exp (neg y))) 1/2)) (sinh.f64 y))
#s(approx (/ (+ (* (exp y) 1/2) (* (neg (exp (neg y))) 1/2)) y) (/.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 y) (/.f64 #s(literal -1/2 binary64) (exp.f64 y))) y))
#s(approx (+ (* (exp y) 1/2) (* (neg (exp (neg y))) 1/2)) (fma.f64 #s(literal 1/2 binary64) (exp.f64 y) (/.f64 #s(literal -1/2 binary64) (exp.f64 y))))
#s(approx (exp y) (exp.f64 y))
#s(approx (+ (* (+ (* 1/2 y) 1) y) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/2 y) 1) y) 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (*.f64 y y)))
#s(approx (+ (* (+ (* 1/2 y) 1) y) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) (*.f64 y y)))
#s(approx (+ (* 1/2 y) 1) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (+ (* 1/2 y) 1) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)))
#s(approx (* (neg (exp (neg y))) 1/2) (/.f64 #s(literal -1/2 binary64) (exp.f64 y)))
#s(approx (neg (exp (neg y))) (neg.f64 (exp.f64 (neg.f64 y))))
#s(approx (exp (neg y)) (exp.f64 (neg.f64 y)))
#s(approx (/ (+ (* (exp y) 1/2) (* (neg (exp (neg y))) 1/2)) y) (/.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 y) (/.f64 #s(literal -1/2 binary64) (exp.f64 y))) y))
#s(approx (+ (* (exp y) 1/2) (* (neg (exp (neg y))) 1/2)) (fma.f64 #s(literal 1/2 binary64) (exp.f64 y) (/.f64 #s(literal -1/2 binary64) (exp.f64 y))))
#s(approx (* (neg (exp (neg y))) 1/2) (/.f64 #s(literal -1/2 binary64) (exp.f64 y)))
#s(approx (neg (exp (neg y))) (neg.f64 (exp.f64 (neg.f64 y))))
#s(approx (exp (neg y)) (exp.f64 (neg.f64 y)))

eval112.0ms (2.6%)

Memory
-6.5MiB live, 94.8MiB allocated; 17ms collecting garbage
Compiler

Compiled 3 980 to 1 656 computations (58.4% saved)

prune63.0ms (1.5%)

Memory
1.2MiB live, 47.3MiB allocated; 5ms collecting garbage
Pruning

28 alts after pruning (20 fresh and 8 done)

PrunedKeptTotal
New32410334
Fresh31013
Picked235
Done055
Total32928357
Accuracy
100.0%
Counts
357 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
37.9%
(/.f64 (*.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (+ (* (exp y) 1/2) (* (neg (exp (neg y))) 1/2)) y)) y)
15.5%
(/.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)
99.9%
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
62.7%
(*.f64 (/.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) y) (sinh.f64 y))
52.1%
(*.f64 (*.f64 #s(approx (sinh y) y) (cos.f64 x)) (/.f64 #s(literal 1 binary64) y))
37.9%
(*.f64 (*.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (+ (* (exp y) 1/2) (* (neg (exp (neg y))) 1/2)) y)) (/.f64 #s(literal 1 binary64) y))
49.1%
(*.f64 (sin.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
100.0%
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
52.2%
(*.f64 (cos.f64 x) (/.f64 #s(approx (sinh y) y) y))
76.7%
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
27.7%
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
50.2%
(*.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 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
33.9%
(*.f64 #s(approx (cos x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y))
15.5%
(*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) y))
15.5%
(*.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) (/.f64 #s(literal 1 binary64) y)))
29.8%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) y) y))
29.8%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 #s(approx (sinh y) y) (/.f64 #s(literal 1 binary64) y)))
46.0%
(*.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))))
35.2%
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (fma.f64 (exp.f64 y) #s(literal 1/2 binary64) (*.f64 #s(approx (neg (exp (neg y))) #s(literal -1 binary64)) #s(literal 1/2 binary64))) y))
18.7%
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (fma.f64 #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))) #s(literal 1/2 binary64) (*.f64 #s(approx (neg (exp (neg y))) #s(literal -1 binary64)) #s(literal 1/2 binary64))) y))
18.7%
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (fma.f64 #s(approx (exp y) (fma.f64 #s(approx (+ (* 1/2 y) 1) (*.f64 #s(literal 1/2 binary64) y)) y #s(literal 1 binary64))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) y))
17.9%
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (fma.f64 #s(approx (exp y) #s(approx (+ (* (+ (* 1/2 y) 1) y) 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (*.f64 y y)))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) y))
17.9%
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (fma.f64 #s(approx (exp y) #s(approx (+ (* (+ (* 1/2 y) 1) y) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) y))
29.7%
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (* 2 (sinh y)) (+.f64 y y)))) y))
29.6%
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* 2 (sinh y))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))) y))
62.6%
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (sinh.f64 y) y))
51.7%
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
57.3%
#s(approx (* (cos x) (/ (sinh y) y)) #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))))
Compiler

Compiled 783 to 638 computations (18.5% saved)

regimes106.0ms (2.4%)

Memory
-16.6MiB live, 83.9MiB allocated; 32ms collecting garbage
Counts
44 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (cos 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) y) (/.f64 #s(literal 1 binary64) 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 (* (cos x) (/ (sinh y) y)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (* 2 (sinh y)) (+.f64 y y)))) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.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) (fma.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y))
(/.f64 (*.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (+ (* (exp y) 1/2) (* (neg (exp (neg y))) 1/2)) y)) y)
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (sinh.f64 y) y))
(*.f64 (*.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (+ (* (exp y) 1/2) (* (neg (exp (neg y))) 1/2)) y)) (/.f64 #s(literal 1 binary64) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* 2 (sinh y))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))) y))
#s(approx (* (cos x) (/ (sinh y) y)) (*.f64 (/.f64 #s(literal 1 binary64) y) (sinh.f64 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 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (fma.f64 #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))) #s(literal 1/2 binary64) (*.f64 #s(approx (neg (exp (neg y))) #s(literal -1 binary64)) #s(literal 1/2 binary64))) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (fma.f64 (exp.f64 y) #s(literal 1/2 binary64) (*.f64 #s(approx (neg (exp (neg y))) #s(literal -1 binary64)) #s(literal 1/2 binary64))) y))
(*.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y))
#s(approx (* (cos x) (/ (sinh y) y)) #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))))
(/.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) (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))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) 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))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) 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))) y) (sinh.f64 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) (/.f64 #s(literal 1 binary64) y)))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (fma.f64 #s(approx (exp y) #s(approx (+ (* (+ (* 1/2 y) 1) y) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) y) (sinh.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)))) (/.f64 #s(literal 1 binary64) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (fma.f64 #s(approx (exp y) (fma.f64 #s(approx (+ (* 1/2 y) 1) (*.f64 #s(literal 1/2 binary64) y)) y #s(literal 1 binary64))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (fma.f64 #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (fma.f64 (exp.f64 y) #s(literal 1/2 binary64) (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) y))
(*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (fma.f64 #s(approx (exp y) #s(approx (+ (* (+ (* 1/2 y) 1) y) 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (*.f64 y y)))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) y))
(*.f64 (cos.f64 x) (/.f64 #s(approx (sinh y) y) y))
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(*.f64 (*.f64 #s(approx (sinh y) y) (cos.f64 x)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 (sin.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
(/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) y)
(*.f64 (sinh.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) y) (cos.f64 x)))
(*.f64 (cos.f64 x) #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))))
Outputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Calls

5 calls:

42.0ms
(cos.f64 x)
34.0ms
y
11.0ms
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 13 to 17 computations (-30.8% saved)

regimes60.0ms (1.4%)

Memory
23.6MiB live, 68.7MiB allocated; 6ms collecting garbage
Counts
39 → 3
Calls
Call 1
Inputs
(*.f64 #s(approx (cos 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) y) (/.f64 #s(literal 1 binary64) 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 (* (cos x) (/ (sinh y) y)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (* 2 (sinh y)) (+.f64 y y)))) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.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) (fma.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y))
(/.f64 (*.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (+ (* (exp y) 1/2) (* (neg (exp (neg y))) 1/2)) y)) y)
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (sinh.f64 y) y))
(*.f64 (*.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (+ (* (exp y) 1/2) (* (neg (exp (neg y))) 1/2)) y)) (/.f64 #s(literal 1 binary64) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* 2 (sinh y))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))) y))
#s(approx (* (cos x) (/ (sinh y) y)) (*.f64 (/.f64 #s(literal 1 binary64) y) (sinh.f64 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 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (fma.f64 #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))) #s(literal 1/2 binary64) (*.f64 #s(approx (neg (exp (neg y))) #s(literal -1 binary64)) #s(literal 1/2 binary64))) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (fma.f64 (exp.f64 y) #s(literal 1/2 binary64) (*.f64 #s(approx (neg (exp (neg y))) #s(literal -1 binary64)) #s(literal 1/2 binary64))) y))
(*.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y))
#s(approx (* (cos x) (/ (sinh y) y)) #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))))
(/.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) (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))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) 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))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) 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))) y) (sinh.f64 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) (/.f64 #s(literal 1 binary64) y)))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (fma.f64 #s(approx (exp y) #s(approx (+ (* (+ (* 1/2 y) 1) y) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) y) (sinh.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)))) (/.f64 #s(literal 1 binary64) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (fma.f64 #s(approx (exp y) (fma.f64 #s(approx (+ (* 1/2 y) 1) (*.f64 #s(literal 1/2 binary64) y)) y #s(literal 1 binary64))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (fma.f64 #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (fma.f64 (exp.f64 y) #s(literal 1/2 binary64) (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) y))
(*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (fma.f64 #s(approx (exp y) #s(approx (+ (* (+ (* 1/2 y) 1) y) 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (*.f64 y y)))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) y))
(*.f64 (cos.f64 x) (/.f64 #s(approx (sinh y) y) y))
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(*.f64 (*.f64 #s(approx (sinh y) y) (cos.f64 x)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 (sin.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
Outputs
(/.f64 (*.f64 #s(approx (cos x) #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 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (sinh.f64 y) y))
Calls

5 calls:

23.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
10.0ms
x
9.0ms
y
9.0ms
(cos.f64 x)
7.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
87.1%2(/.f64 (sinh.f64 y) y)
88.5%2(cos.f64 x)
99.0%3(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
88.2%2x
95.3%4y
Compiler

Compiled 13 to 17 computations (-30.8% saved)

regimes37.0ms (0.8%)

Memory
-29.5MiB live, 15.6MiB allocated; 6ms collecting garbage
Counts
36 → 3
Calls
Call 1
Inputs
(*.f64 #s(approx (cos 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) y) (/.f64 #s(literal 1 binary64) 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 (* (cos x) (/ (sinh y) y)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (* 2 (sinh y)) (+.f64 y y)))) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.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) (fma.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y))
(/.f64 (*.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (+ (* (exp y) 1/2) (* (neg (exp (neg y))) 1/2)) y)) y)
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (sinh.f64 y) y))
(*.f64 (*.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (+ (* (exp y) 1/2) (* (neg (exp (neg y))) 1/2)) y)) (/.f64 #s(literal 1 binary64) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* 2 (sinh y))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))) y))
#s(approx (* (cos x) (/ (sinh y) y)) (*.f64 (/.f64 #s(literal 1 binary64) y) (sinh.f64 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 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (fma.f64 #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))) #s(literal 1/2 binary64) (*.f64 #s(approx (neg (exp (neg y))) #s(literal -1 binary64)) #s(literal 1/2 binary64))) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (fma.f64 (exp.f64 y) #s(literal 1/2 binary64) (*.f64 #s(approx (neg (exp (neg y))) #s(literal -1 binary64)) #s(literal 1/2 binary64))) y))
(*.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y))
#s(approx (* (cos x) (/ (sinh y) y)) #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))))
(/.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) (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))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) 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))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) 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))) y) (sinh.f64 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) (/.f64 #s(literal 1 binary64) y)))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (fma.f64 #s(approx (exp y) #s(approx (+ (* (+ (* 1/2 y) 1) y) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) y) (sinh.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)))) (/.f64 #s(literal 1 binary64) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (fma.f64 #s(approx (exp y) (fma.f64 #s(approx (+ (* 1/2 y) 1) (*.f64 #s(literal 1/2 binary64) y)) y #s(literal 1 binary64))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (fma.f64 #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (fma.f64 (exp.f64 y) #s(literal 1/2 binary64) (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) y))
(*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (fma.f64 #s(approx (exp y) #s(approx (+ (* (+ (* 1/2 y) 1) y) 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (*.f64 y y)))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) y))
(*.f64 (cos.f64 x) (/.f64 #s(approx (sinh y) y) y))
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(*.f64 (*.f64 #s(approx (sinh y) y) (cos.f64 x)) (/.f64 #s(literal 1 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 (cos.f64 x) (/.f64 #s(approx (sinh y) y) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (sinh.f64 y) y))
Calls

1 calls:

35.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
98.7%3(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 6 to 6 computations (0% saved)

regimes84.0ms (1.9%)

Memory
32.9MiB live, 77.1MiB allocated; 6ms collecting garbage
Counts
33 → 2
Calls
Call 1
Inputs
(*.f64 #s(approx (cos 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) y) (/.f64 #s(literal 1 binary64) 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 (* (cos x) (/ (sinh y) y)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (* 2 (sinh y)) (+.f64 y y)))) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.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) (fma.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y))
(/.f64 (*.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (+ (* (exp y) 1/2) (* (neg (exp (neg y))) 1/2)) y)) y)
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (sinh.f64 y) y))
(*.f64 (*.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (+ (* (exp y) 1/2) (* (neg (exp (neg y))) 1/2)) y)) (/.f64 #s(literal 1 binary64) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* 2 (sinh y))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))) y))
#s(approx (* (cos x) (/ (sinh y) y)) (*.f64 (/.f64 #s(literal 1 binary64) y) (sinh.f64 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 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (fma.f64 #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))) #s(literal 1/2 binary64) (*.f64 #s(approx (neg (exp (neg y))) #s(literal -1 binary64)) #s(literal 1/2 binary64))) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (fma.f64 (exp.f64 y) #s(literal 1/2 binary64) (*.f64 #s(approx (neg (exp (neg y))) #s(literal -1 binary64)) #s(literal 1/2 binary64))) y))
(*.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y))
#s(approx (* (cos x) (/ (sinh y) y)) #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))))
(/.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) (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))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) 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))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) 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))) y) (sinh.f64 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) (/.f64 #s(literal 1 binary64) y)))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (fma.f64 #s(approx (exp y) #s(approx (+ (* (+ (* 1/2 y) 1) y) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) y) (sinh.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)))) (/.f64 #s(literal 1 binary64) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (fma.f64 #s(approx (exp y) (fma.f64 #s(approx (+ (* 1/2 y) 1) (*.f64 #s(literal 1/2 binary64) y)) y #s(literal 1 binary64))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (fma.f64 #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (fma.f64 (exp.f64 y) #s(literal 1/2 binary64) (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) y))
(*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (fma.f64 #s(approx (exp y) #s(approx (+ (* (+ (* 1/2 y) 1) y) 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (*.f64 y y)))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) y))
Outputs
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (sinh.f64 y) y))
Calls

5 calls:

54.0ms
x
8.0ms
y
8.0ms
(cos.f64 x)
7.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
6.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
64.9%2(/.f64 (sinh.f64 y) y)
62.8%1x
77.0%2(cos.f64 x)
66.9%3y
77.0%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 13 to 17 computations (-30.8% saved)

regimes41.0ms (0.9%)

Memory
-25.8MiB live, 23.3MiB allocated; 13ms collecting garbage
Counts
21 → 2
Calls
Call 1
Inputs
(*.f64 #s(approx (cos 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) y) (/.f64 #s(literal 1 binary64) 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 (* (cos x) (/ (sinh y) y)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (* 2 (sinh y)) (+.f64 y y)))) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.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) (fma.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y))
(/.f64 (*.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (+ (* (exp y) 1/2) (* (neg (exp (neg y))) 1/2)) y)) y)
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (sinh.f64 y) y))
(*.f64 (*.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (+ (* (exp y) 1/2) (* (neg (exp (neg y))) 1/2)) y)) (/.f64 #s(literal 1 binary64) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* 2 (sinh y))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))) y))
#s(approx (* (cos x) (/ (sinh y) y)) (*.f64 (/.f64 #s(literal 1 binary64) y) (sinh.f64 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 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (fma.f64 #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))) #s(literal 1/2 binary64) (*.f64 #s(approx (neg (exp (neg y))) #s(literal -1 binary64)) #s(literal 1/2 binary64))) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (fma.f64 (exp.f64 y) #s(literal 1/2 binary64) (*.f64 #s(approx (neg (exp (neg y))) #s(literal -1 binary64)) #s(literal 1/2 binary64))) y))
(*.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y))
#s(approx (* (cos x) (/ (sinh y) y)) #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))))
(/.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) (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))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) 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))
Outputs
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (sinh.f64 y) y))
Calls

2 calls:

35.0ms
(cos.f64 x)
4.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
77.0%2(cos.f64 x)
77.0%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 8 to 9 computations (-12.5% saved)

regimes11.0ms (0.2%)

Memory
17.1MiB live, 17.1MiB allocated; 0ms collecting garbage
Counts
20 → 2
Calls
Call 1
Inputs
(*.f64 #s(approx (cos 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) y) (/.f64 #s(literal 1 binary64) 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 (* (cos x) (/ (sinh y) y)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (* 2 (sinh y)) (+.f64 y y)))) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.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) (fma.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y))
(/.f64 (*.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (+ (* (exp y) 1/2) (* (neg (exp (neg y))) 1/2)) y)) y)
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (sinh.f64 y) y))
(*.f64 (*.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (+ (* (exp y) 1/2) (* (neg (exp (neg y))) 1/2)) y)) (/.f64 #s(literal 1 binary64) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* 2 (sinh y))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))) y))
#s(approx (* (cos x) (/ (sinh y) y)) (*.f64 (/.f64 #s(literal 1 binary64) y) (sinh.f64 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 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (fma.f64 #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))) #s(literal 1/2 binary64) (*.f64 #s(approx (neg (exp (neg y))) #s(literal -1 binary64)) #s(literal 1/2 binary64))) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (fma.f64 (exp.f64 y) #s(literal 1/2 binary64) (*.f64 #s(approx (neg (exp (neg y))) #s(literal -1 binary64)) #s(literal 1/2 binary64))) y))
(*.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y))
#s(approx (* (cos x) (/ (sinh y) y)) #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))))
(/.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) (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))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (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)))) (sinh.f64 y)) y)
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (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
77.0%2(cos.f64 x)
77.0%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 8 to 9 computations (-12.5% saved)

regimes9.0ms (0.2%)

Memory
19.3MiB live, 19.3MiB allocated; 0ms collecting garbage
Counts
16 → 2
Calls
Call 1
Inputs
(*.f64 #s(approx (cos 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) y) (/.f64 #s(literal 1 binary64) 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 (* (cos x) (/ (sinh y) y)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (* 2 (sinh y)) (+.f64 y y)))) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.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) (fma.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y))
(/.f64 (*.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (+ (* (exp y) 1/2) (* (neg (exp (neg y))) 1/2)) y)) y)
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (sinh.f64 y) y))
(*.f64 (*.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (+ (* (exp y) 1/2) (* (neg (exp (neg y))) 1/2)) y)) (/.f64 #s(literal 1 binary64) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* 2 (sinh y))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))) y))
#s(approx (* (cos x) (/ (sinh y) y)) (*.f64 (/.f64 #s(literal 1 binary64) y) (sinh.f64 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 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (fma.f64 #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))) #s(literal 1/2 binary64) (*.f64 #s(approx (neg (exp (neg y))) #s(literal -1 binary64)) #s(literal 1/2 binary64))) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (fma.f64 (exp.f64 y) #s(literal 1/2 binary64) (*.f64 #s(approx (neg (exp (neg y))) #s(literal -1 binary64)) #s(literal 1/2 binary64))) y))
(*.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y))
#s(approx (* (cos x) (/ (sinh y) y)) #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))))
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 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (sinh.f64 y) y))
Calls

2 calls:

4.0ms
(cos.f64 x)
4.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
75.9%2(cos.f64 x)
75.9%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 8 to 9 computations (-12.5% saved)

regimes23.0ms (0.5%)

Memory
-27.8MiB live, 17.6MiB allocated; 6ms collecting garbage
Counts
11 → 2
Calls
Call 1
Inputs
(*.f64 #s(approx (cos 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) y) (/.f64 #s(literal 1 binary64) 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 (* (cos x) (/ (sinh y) y)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (* 2 (sinh y)) (+.f64 y y)))) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.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) (fma.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y))
(/.f64 (*.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (+ (* (exp y) 1/2) (* (neg (exp (neg y))) 1/2)) y)) y)
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (sinh.f64 y) y))
(*.f64 (*.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (+ (* (exp y) 1/2) (* (neg (exp (neg y))) 1/2)) y)) (/.f64 #s(literal 1 binary64) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* 2 (sinh y))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))) y))
#s(approx (* (cos x) (/ (sinh y) y)) (*.f64 (/.f64 #s(literal 1 binary64) y) (sinh.f64 y)))
Outputs
(/.f64 (*.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (+ (* (exp y) 1/2) (* (neg (exp (neg y))) 1/2)) y)) y)
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (sinh.f64 y) y))
Calls

2 calls:

19.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
3.0ms
(cos.f64 x)
Results
AccuracySegmentsBranch
73.6%2(cos.f64 x)
73.6%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 8 to 9 computations (-12.5% saved)

regimes11.0ms (0.3%)

Memory
32.0MiB live, 32.0MiB allocated; 0ms collecting garbage
Counts
7 → 2
Calls
Call 1
Inputs
(*.f64 #s(approx (cos 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) y) (/.f64 #s(literal 1 binary64) 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 (* (cos x) (/ (sinh y) y)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (* 2 (sinh y)) (+.f64 y y)))) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.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) (fma.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y))
(/.f64 (*.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (+ (* (exp y) 1/2) (* (neg (exp (neg y))) 1/2)) y)) y)
Outputs
(/.f64 (*.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (+ (* (exp y) 1/2) (* (neg (exp (neg y))) 1/2)) y)) y)
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
Calls

5 calls:

2.0ms
x
2.0ms
y
2.0ms
(cos.f64 x)
2.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
2.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
53.8%2x
51.7%1(/.f64 (sinh.f64 y) y)
51.7%1y
62.8%2(cos.f64 x)
62.8%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 13 to 17 computations (-30.8% saved)

regimes36.0ms (0.8%)

Memory
-33.2MiB live, 12.3MiB allocated; 6ms collecting garbage
Counts
6 → 2
Calls
Call 1
Inputs
(*.f64 #s(approx (cos 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) y) (/.f64 #s(literal 1 binary64) 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 (* (cos x) (/ (sinh y) y)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (* 2 (sinh y)) (+.f64 y y)))) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.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) (fma.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y))
Outputs
(*.f64 #s(approx (cos x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
Calls

2 calls:

33.0ms
(cos.f64 x)
2.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
58.8%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
58.8%2(cos.f64 x)
Compiler

Compiled 8 to 9 computations (-12.5% saved)

regimes6.0ms (0.1%)

Memory
16.7MiB live, 16.7MiB allocated; 0ms collecting garbage
Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (cos 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) y) (/.f64 #s(literal 1 binary64) 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 (* (cos x) (/ (sinh y) y)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (* 2 (sinh y)) (+.f64 y y)))) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
Outputs
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
Calls

3 calls:

2.0ms
x
2.0ms
(cos.f64 x)
2.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
51.7%1x
51.7%1(cos.f64 x)
51.7%1(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 9 to 11 computations (-22.2% saved)

regimes33.0ms (0.8%)

Memory
-17.7MiB live, 28.1MiB allocated; 5ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (cos 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) y) (/.f64 #s(literal 1 binary64) 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 (* (cos x) (/ (sinh y) y)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (* 2 (sinh y)) (+.f64 y y)))) y))
Outputs
(*.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))))
Calls

5 calls:

26.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
2.0ms
x
2.0ms
y
2.0ms
(cos.f64 x)
1.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
46.0%1(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
46.0%1(cos.f64 x)
46.0%1(/.f64 (sinh.f64 y) y)
46.0%1y
46.0%1x
Compiler

Compiled 13 to 17 computations (-30.8% saved)

regimes6.0ms (0.1%)

Memory
25.0MiB live, 25.0MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

5 calls:

1.0ms
x
1.0ms
y
1.0ms
(cos.f64 x)
1.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
1.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
29.8%1y
29.8%1(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
29.8%1(/.f64 (sinh.f64 y) y)
29.8%1(cos.f64 x)
29.8%1x
Compiler

Compiled 13 to 17 computations (-30.8% saved)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999999999688
1.0
0.0ms
-inf
-5122867.283441702
Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch0.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999999999688
1.0
0.0ms
-inf
-5122867.283441702
Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch0.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.026081028746885223
0.07413599080378643
Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.026081028746885223
0.07413599080378643
Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.026081028746885223
0.07413599080378643
Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.026081028746885223
0.07413599080378643
Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.026081028746885223
0.07413599080378643
Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.015374070361118422
0.07413599080378643
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.015374070361118422
0.07413599080378643
Compiler

Compiled 10 to 11 computations (-10% saved)

derivations484.0ms (11.1%)

Memory
-37.3MiB live, 687.7MiB allocated; 117ms collecting garbage
Stop Event
fuel
Compiler

Compiled 131 to 90 computations (31.3% saved)

preprocess151.0ms (3.5%)

Memory
51.9MiB live, 326.2MiB allocated; 76ms collecting garbage
Remove

(abs y)

(abs x)

Compiler

Compiled 1 493 to 1 312 computations (12.1% saved)

end0.0ms (0%)

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

Profiling

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