Linear.Quaternion:$csin from linear-1.19.1.3

Time bar (total: 6.6s)

start0.0ms (0%)

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

analyze26.0ms (0.4%)

Memory
29.2MiB live, 29.2MiB 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)

sample960.0ms (14.6%)

Memory
4.3MiB live, 1 341.1MiB allocated; 282ms collecting garbage
Samples
730.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 440.0ms
ival-cos: 211.0ms (47.9% of total)
ival-sinh: 102.0ms (23.2% of total)
ival-div!: 72.0ms (16.3% of total)
ival-mult!: 54.0ms (12.3% of total)
adjust: 2.0ms (0.5% of total)
Bogosity

preprocess48.0ms (0.7%)

Memory
-34.8MiB live, 60.3MiB allocated; 17ms 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 (0.2%)

Memory
34.1MiB live, 34.1MiB 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)

rewrite228.0ms (3.5%)

Memory
-1.1MiB live, 271.0MiB allocated; 36ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0113479
0117467
1730406
27067406
08108376
126184376
Stop Event
saturated
node-limit
iter-limit
Counts
28 → 104
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)
(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 (sin.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)))
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 binary64) (/.f64 (sinh.f64 y) 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 (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 (sinh.f64 (*.f64 #s(literal 2 binary64) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)))))
(/.f64 (sinh.f64 (*.f64 y #s(literal 2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (cosh.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 2 binary64))
(sinh.f64 (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))

eval39.0ms (0.6%)

Memory
-19.0MiB live, 35.7MiB allocated; 32ms collecting garbage
Compiler

Compiled 668 to 346 computations (48.2% saved)

prune4.0ms (0.1%)

Memory
13.9MiB live, 13.9MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New93598
Fresh000
Picked011
Done000
Total93699
Accuracy
100.0%
Counts
99 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
46.0%
(*.f64 (cos.f64 x) (/.f64 #s(approx (sinh y) y) y))
72.5%
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
68.3%
(*.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 (sinh.f64 y) y))
68.3%
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y))
69.8%
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 110 to 108 computations (1.8% saved)

series14.0ms (0.2%)

Memory
-16.5MiB live, 29.4MiB allocated; 4ms collecting garbage
Counts
25 → 35
Calls
Call 1
Inputs
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(cos.f64 x)
x
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (sinh.f64 y) y))
(/.f64 (sinh.f64 y) y)
(sinh.f64 y)
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 x x)
(*.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y))
#s(approx (cos x) (fma.f64 (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 (cos.f64 x) (/.f64 #s(approx (sinh y) y) y))
(/.f64 #s(approx (sinh y) y) y)
#s(approx (sinh y) y)
Outputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* 1/24 (* x x)) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* 1/24 (* x x)) -1/2) #s(hole binary64 (- (* 1/24 (pow x 2)) 1/2)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))))
#s(approx (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) #s(hole binary64 (* 1/24 (pow x 4))))
#s(approx (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/24 (* x x)) -1/2) #s(hole binary64 (* 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) (/ (sinh y) y)) #s(hole binary64 (+ (cos x) (* 1/6 (* (pow y 2) (cos x))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx y #s(hole binary64 y))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2))))))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (* 1/6 (pow y 2))))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))))
#s(approx (sinh y) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
Calls

6 calls:

TimeVariablePointExpression
5.0ms
y
@-inf
((* (cos x) (/ (sinh y) y)) (cos x) x (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (* y y) y 1/6 1 (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (sinh y) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* -1/2 (* x x)) 1) -1/2 (* x x) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) (+ (* 1/24 (* x x)) -1/2) 1/24 (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (sinh y))
2.0ms
x
@inf
((* (cos x) (/ (sinh y) y)) (cos x) x (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (* y y) y 1/6 1 (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (sinh y) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* -1/2 (* x x)) 1) -1/2 (* x x) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) (+ (* 1/24 (* x x)) -1/2) 1/24 (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (sinh y))
2.0ms
y
@inf
((* (cos x) (/ (sinh y) y)) (cos x) x (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (* y y) y 1/6 1 (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (sinh y) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* -1/2 (* x x)) 1) -1/2 (* x x) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) (+ (* 1/24 (* x x)) -1/2) 1/24 (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (sinh y))
2.0ms
x
@-inf
((* (cos x) (/ (sinh y) y)) (cos x) x (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (* y y) y 1/6 1 (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (sinh y) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* -1/2 (* x x)) 1) -1/2 (* x x) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) (+ (* 1/24 (* x x)) -1/2) 1/24 (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (sinh y))
1.0ms
x
@0
((* (cos x) (/ (sinh y) y)) (cos x) x (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (* y y) y 1/6 1 (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (sinh y) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* -1/2 (* x x)) 1) -1/2 (* x x) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) (+ (* 1/24 (* x x)) -1/2) 1/24 (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (sinh y))

rewrite206.0ms (3.1%)

Memory
31.9MiB live, 300.2MiB allocated; 38ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0168823
0194787
11032728
08908704
129982704
Stop Event
saturated
node-limit
iter-limit
Counts
60 → 251
Calls
Call 1
Inputs
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(cos.f64 x)
x
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (sinh.f64 y) y))
(/.f64 (sinh.f64 y) y)
(sinh.f64 y)
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 x x)
(*.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y))
#s(approx (cos x) (fma.f64 (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 (cos.f64 x) (/.f64 #s(approx (sinh y) y) y))
(/.f64 #s(approx (sinh y) y) y)
#s(approx (sinh y) y)
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* 1/24 (* x x)) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* 1/24 (* x x)) -1/2) #s(hole binary64 (- (* 1/24 (pow x 2)) 1/2)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))))
#s(approx (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) #s(hole binary64 (* 1/24 (pow x 4))))
#s(approx (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/24 (* x x)) -1/2) #s(hole binary64 (* 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) (/ (sinh y) y)) #s(hole binary64 (+ (cos x) (* 1/6 (* (pow y 2) (cos x))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx y #s(hole binary64 y))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2))))))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (* 1/6 (pow y 2))))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))))
#s(approx (sinh y) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
Outputs
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) (cos.f64 x))
(sin.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 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 (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1/6 binary64)) (fabs.f64 y)) (fabs.f64 y))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1/6 binary64)) (neg.f64 y)) (neg.f64 y))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1/6 binary64)) y) y)
(*.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1/6 binary64))))
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1/6 binary64))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1/6 binary64)) (*.f64 y y))
(*.f64 (*.f64 y y) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1/6 binary64)))
(*.f64 y (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1/6 binary64))))
(neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))
(neg.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (fabs.f64 y)) (fabs.f64 y) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (neg.f64 y)) (neg.f64 y) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64) #s(literal 1 binary64))
(fma.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 y (*.f64 (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
(-.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
(-.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y y)))
(-.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(+.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))
(*.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y)))
(*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)))
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)))
(*.f64 (fabs.f64 y) (fabs.f64 y))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 y y)
(pow.f64 (fabs.f64 (fabs.f64 y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (fabs.f64 y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 y)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 y) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 y) y))
(sqrt.f64 (*.f64 (*.f64 y y) (*.f64 y y)))
(fabs.f64 (*.f64 (neg.f64 y) y))
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#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 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) x))
#s(approx (* (cos x) (/ (sinh y) y)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (cos.f64 x)))
#s(approx (* (cos x) (/ (sinh y) y)) (fma.f64 (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (cos.f64 x)))
#s(approx (* (cos x) (/ (sinh y) y)) (fma.f64 (fma.f64 (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) (*.f64 (cos.f64 x) #s(literal 1/6 binary64))) (*.f64 y y) (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 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))
#s(approx (* y y) (*.f64 y y))
#s(approx y y)
#s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))
#s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))
#s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y))
#s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))
#s(approx (+ (* (* y y) 1/6) 1) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
#s(approx (sinh y) (sinh.f64 y))

eval62.0ms (0.9%)

Memory
20.1MiB live, 106.2MiB allocated; 41ms collecting garbage
Compiler

Compiled 2 351 to 1 028 computations (56.3% saved)

prune3.0s (46%)

Memory
-290.3MiB live, 159.7MiB allocated; 3.4s collecting garbage
Pruning

15 alts after pruning (11 fresh and 4 done)

PrunedKeptTotal
New32811339
Fresh000
Picked235
Done011
Total33015345
Accuracy
100.0%
Counts
345 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
68.3%
(/.f64 (*.f64 (sinh.f64 y) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) y)
68.2%
(*.f64 (sinh.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
100.0%
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
46.0%
(*.f64 (cos.f64 x) (/.f64 #s(approx (sinh y) y) y))
72.5%
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
36.6%
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y))
56.0%
(*.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))
68.2%
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (sinh.f64 y) (/.f64 #s(literal 1 binary64) y)))
13.3%
(*.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))
27.8%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) y) y))
47.6%
(*.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))))
45.9%
#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))
69.8%
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (sinh.f64 y) y))
53.7%
#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))
69.7%
#s(approx (* (cos x) (/ (sinh y) y)) (*.f64 (sinh.f64 y) (/.f64 #s(literal 1 binary64) y)))
Compiler

Compiled 327 to 323 computations (1.2% saved)

series19.0ms (0.3%)

Memory
-26.4MiB live, 22.6MiB allocated; 2ms collecting garbage
Counts
24 → 31
Calls
Call 1
Inputs
#s(approx (* (cos x) (/ (sinh y) y)) (*.f64 (sinh.f64 y) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sinh.f64 y) (/.f64 #s(literal 1 binary64) y))
(sinh.f64 y)
y
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) y) y))
#s(approx (cos x) #s(literal 1 binary64))
(/.f64 #s(approx (sinh y) y) y)
#s(approx (sinh 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 (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y)
#s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(*.f64 y y)
#s(literal 1/6 binary64)
(*.f64 #s(approx (cos x) (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) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 x x)
x
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (sinh.f64 y) (/.f64 #s(literal 1 binary64) 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 x) #s(hole binary64 (pow x 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 (+ (* -1/2 (* x x)) 1) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))))
#s(approx (* (cos x) (/ (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) (/ 1 y)) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (* (sinh y) (/ 1 y)) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
#s(approx (* (sinh y) (/ 1 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 (/ 1 y) #s(hole binary64 (/ 1 y)))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (sinh y) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
#s(approx (* (+ (* (* y y) 1/6) 1) y) #s(hole binary64 (* 1/6 (pow y 3))))
#s(approx (* (+ (* (* y y) 1/6) 1) y) #s(hole binary64 (* (pow y 3) (+ 1/6 (/ 1 (pow y 2))))))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (* 1/6 (pow y 2))))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))))
Calls

6 calls:

TimeVariablePointExpression
9.0ms
y
@0
((* (cos x) (/ (sinh y) y)) (* (sinh y) (/ 1 y)) (sinh y) y (/ 1 y) 1 (* (cos x) (/ (sinh y) y)) (cos x) (/ (sinh y) y) (sinh y) (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (sinh y) (* (+ (* (* y y) 1/6) 1) y) (+ (* (* y y) 1/6) 1) (* y y) 1/6 (* (cos x) (/ (sinh y) y)) (cos x) (+ (* -1/2 (* x x)) 1) -1/2 (* x x) x (* (cos x) (* (sinh y) (/ 1 y))))
3.0ms
y
@-inf
((* (cos x) (/ (sinh y) y)) (* (sinh y) (/ 1 y)) (sinh y) y (/ 1 y) 1 (* (cos x) (/ (sinh y) y)) (cos x) (/ (sinh y) y) (sinh y) (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (sinh y) (* (+ (* (* y y) 1/6) 1) y) (+ (* (* y y) 1/6) 1) (* y y) 1/6 (* (cos x) (/ (sinh y) y)) (cos x) (+ (* -1/2 (* x x)) 1) -1/2 (* x x) x (* (cos x) (* (sinh y) (/ 1 y))))
2.0ms
y
@inf
((* (cos x) (/ (sinh y) y)) (* (sinh y) (/ 1 y)) (sinh y) y (/ 1 y) 1 (* (cos x) (/ (sinh y) y)) (cos x) (/ (sinh y) y) (sinh y) (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (sinh y) (* (+ (* (* y y) 1/6) 1) y) (+ (* (* y y) 1/6) 1) (* y y) 1/6 (* (cos x) (/ (sinh y) y)) (cos x) (+ (* -1/2 (* x x)) 1) -1/2 (* x x) x (* (cos x) (* (sinh y) (/ 1 y))))
1.0ms
x
@inf
((* (cos x) (/ (sinh y) y)) (* (sinh y) (/ 1 y)) (sinh y) y (/ 1 y) 1 (* (cos x) (/ (sinh y) y)) (cos x) (/ (sinh y) y) (sinh y) (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (sinh y) (* (+ (* (* y y) 1/6) 1) y) (+ (* (* y y) 1/6) 1) (* y y) 1/6 (* (cos x) (/ (sinh y) y)) (cos x) (+ (* -1/2 (* x x)) 1) -1/2 (* x x) x (* (cos x) (* (sinh y) (/ 1 y))))
1.0ms
x
@-inf
((* (cos x) (/ (sinh y) y)) (* (sinh y) (/ 1 y)) (sinh y) y (/ 1 y) 1 (* (cos x) (/ (sinh y) y)) (cos x) (/ (sinh y) y) (sinh y) (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (sinh y) (* (+ (* (* y y) 1/6) 1) y) (+ (* (* y y) 1/6) 1) (* y y) 1/6 (* (cos x) (/ (sinh y) y)) (cos x) (+ (* -1/2 (* x x)) 1) -1/2 (* x x) x (* (cos x) (* (sinh y) (/ 1 y))))

rewrite214.0ms (3.3%)

Memory
-5.1MiB live, 226.4MiB allocated; 47ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0154757
0170718
1918645
08461610
128382610
Stop Event
saturated
node-limit
iter-limit
Counts
55 → 251
Calls
Call 1
Inputs
#s(approx (* (cos x) (/ (sinh y) y)) (*.f64 (sinh.f64 y) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sinh.f64 y) (/.f64 #s(literal 1 binary64) y))
(sinh.f64 y)
y
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) y) y))
#s(approx (cos x) #s(literal 1 binary64))
(/.f64 #s(approx (sinh y) y) y)
#s(approx (sinh 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 (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y)
#s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(*.f64 y y)
#s(literal 1/6 binary64)
(*.f64 #s(approx (cos x) (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) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 x x)
x
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (sinh.f64 y) (/.f64 #s(literal 1 binary64) 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 x) #s(hole binary64 (pow x 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 (+ (* -1/2 (* x x)) 1) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))))
#s(approx (* (cos x) (/ (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) (/ 1 y)) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (* (sinh y) (/ 1 y)) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
#s(approx (* (sinh y) (/ 1 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 (/ 1 y) #s(hole binary64 (/ 1 y)))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (sinh y) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
#s(approx (* (+ (* (* y y) 1/6) 1) y) #s(hole binary64 (* 1/6 (pow y 3))))
#s(approx (* (+ (* (* y y) 1/6) 1) y) #s(hole binary64 (* (pow y 3) (+ 1/6 (/ 1 (pow y 2))))))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (* 1/6 (pow y 2))))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))))
Outputs
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 (neg.f64 y)) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (sinh.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 #s(literal 1 binary64) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 (sinh.f64 y) #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (*.f64 #s(literal -1 binary64) (sinh.f64 y)) (neg.f64 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 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (*.f64 (neg.f64 y) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (*.f64 y #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (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 (sinh.f64 y) (neg.f64 (neg.f64 y)))
(/.f64 (sinh.f64 y) y)
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(/.f64 (*.f64 (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sinh.f64 y)) #s(literal 1 binary64)) y)
(/.f64 (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sinh.f64 (neg.f64 y))) (neg.f64 y))
(/.f64 (*.f64 (sinh.f64 (neg.f64 y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (neg.f64 y))
(/.f64 (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sinh.f64 y)) y)
#s(approx (* (cos x) (/ (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 (*.f64 x x) #s(literal -1/2 binary64) #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) (*.f64 x x))
#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 (+ (* -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 (* (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) (/ 1 y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
#s(approx (* (sinh y) (/ 1 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) (/ 1 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 (/ 1 y) (/.f64 #s(literal 1 binary64) y))
#s(approx (* y y) (*.f64 y y))
#s(approx (sinh y) (sinh.f64 y))
#s(approx (* (+ (* (* y y) 1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))
#s(approx (* (+ (* (* y y) 1/6) 1) y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))
#s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))
#s(approx (+ (* (* y y) 1/6) 1) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))

eval38.0ms (0.6%)

Memory
39.7MiB live, 85.5MiB allocated; 4ms collecting garbage
Compiler

Compiled 2 914 to 1 085 computations (62.8% saved)

prune22.0ms (0.3%)

Memory
-11.4MiB live, 43.2MiB allocated; 6ms collecting garbage
Pruning

20 alts after pruning (15 fresh and 5 done)

PrunedKeptTotal
New38712399
Fresh336
Picked415
Done044
Total39420414
Accuracy
100.0%
Counts
414 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.8%
(*.f64 (*.f64 #s(approx (sinh y) y) #s(approx (cos x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y))
100.0%
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
46.0%
(*.f64 (cos.f64 x) (/.f64 #s(approx (sinh y) y) y))
72.5%
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
55.9%
(*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
35.4%
(*.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))
36.6%
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y))
32.6%
(*.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 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) y))
53.1%
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (* (sinh y) (/ 1 y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
13.3%
(*.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))
13.3%
(*.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)))
27.8%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) y) y))
45.9%
#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))
69.8%
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (sinh.f64 y) y))
53.7%
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y)) y))
41.0%
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 #s(approx (sinh y) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1/6 binary64)) (*.f64 y y)) y)) y))
29.0%
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 #s(approx (sinh y) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) y))
29.0%
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 #s(approx (sinh y) #s(approx (* (+ (* (* y y) 1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))) y))
45.9%
#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))) (/.f64 #s(literal 1 binary64) y)))
47.6%
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (* (sinh y) (/ 1 y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
Compiler

Compiled 552 to 536 computations (2.9% saved)

series18.0ms (0.3%)

Memory
-11.9MiB live, 34.5MiB allocated; 2ms collecting garbage
Counts
37 → 39
Calls
Call 1
Inputs
(*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
#s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) 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) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal -1/2 binary64)
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (* (sinh y) (/ 1 y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (* (sinh y) (/ 1 y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 #s(approx (sinh y) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) y))
(/.f64 #s(approx (sinh y) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) y)
#s(approx (sinh y) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y))
(*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)
#s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))
(*.f64 (*.f64 y y) #s(literal 1/6 binary64))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 #s(approx (sinh y) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1/6 binary64)) (*.f64 y y)) y)) y))
(/.f64 #s(approx (sinh y) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1/6 binary64)) (*.f64 y y)) y)) y)
#s(approx (sinh y) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1/6 binary64)) (*.f64 y y)) y))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1/6 binary64)) (*.f64 y y)) y)
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1/6 binary64)) (*.f64 y y))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1/6 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
#s(literal -1/6 binary64)
(*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (/.f64 (sinh.f64 y) y))
#s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))
#s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(/.f64 (sinh.f64 y) y)
(sinh.f64 y)
Outputs
#s(approx (* (sinh y) (* (/ 1 y) (cos x))) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
#s(approx (* (sinh y) (* (/ 1 y) (cos x))) #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) (* (/ 1 y) (cos x))) #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) (* (/ 1 y) (cos x))) #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 (* (/ 1 y) (cos x)) #s(hole binary64 (/ 1 y)))
#s(approx (* (/ 1 y) (cos x)) #s(hole binary64 (+ (* -1/2 (/ (pow x 2) y)) (/ 1 y))))
#s(approx (* (/ 1 y) (cos x)) #s(hole binary64 (+ (* (pow x 2) (- (* 1/24 (/ (pow x 2) y)) (* 1/2 (/ 1 y)))) (/ 1 y))))
#s(approx (* (/ 1 y) (cos x)) #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 x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* (* x x) -1/2) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (* (sinh y) (* (/ 1 y) (cos x))) #s(hole binary64 (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))))
#s(approx (* (/ 1 y) (cos x)) #s(hole binary64 (/ (cos x) y)))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))))
#s(approx (* (sinh y) (* (/ 1 y) (cos x))) #s(hole binary64 (+ (cos x) (* 1/6 (* (pow y 2) (cos x))))))
#s(approx (* (sinh y) (* (/ 1 y) (cos x))) #s(hole binary64 (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))))
#s(approx (* (sinh y) (* (/ 1 y) (cos x))) #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) #s(hole binary64 y))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2))))))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (* (sinh y) (/ 1 y)) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
#s(approx (* (sinh y) (/ 1 y)) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))
#s(approx (* (* y y) 1/6) #s(hole binary64 (* 1/6 (pow y 2))))
#s(approx (- (/ 1 (* y y)) -1/6) #s(hole binary64 (/ 1 (pow y 2))))
#s(approx (- (/ 1 (* y y)) -1/6) #s(hole binary64 (/ (+ 1 (* 1/6 (pow y 2))) (pow y 2))))
#s(approx (sinh y) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
#s(approx (* (+ (* (* y y) 1/6) 1) y) #s(hole binary64 (* 1/6 (pow y 3))))
#s(approx (* (+ (* (* y y) 1/6) 1) y) #s(hole binary64 (* (pow y 3) (+ 1/6 (/ 1 (pow y 2))))))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))))
#s(approx (- (/ 1 (* y y)) -1/6) #s(hole binary64 1/6))
#s(approx (- (/ 1 (* y y)) -1/6) #s(hole binary64 (+ 1/6 (/ 1 (pow y 2)))))
Calls

6 calls:

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

rewrite184.0ms (2.8%)

Memory
24.8MiB live, 210.1MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02001129
02311027
11183945
08359914
126364914
Stop Event
saturated
node-limit
iter-limit
Counts
76 → 334
Calls
Call 1
Inputs
(*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
#s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) 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) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal -1/2 binary64)
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (* (sinh y) (/ 1 y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (* (sinh y) (/ 1 y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 #s(approx (sinh y) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) y))
(/.f64 #s(approx (sinh y) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) y)
#s(approx (sinh y) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y))
(*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)
#s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))
(*.f64 (*.f64 y y) #s(literal 1/6 binary64))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 #s(approx (sinh y) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1/6 binary64)) (*.f64 y y)) y)) y))
(/.f64 #s(approx (sinh y) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1/6 binary64)) (*.f64 y y)) y)) y)
#s(approx (sinh y) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1/6 binary64)) (*.f64 y y)) y))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1/6 binary64)) (*.f64 y y)) y)
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1/6 binary64)) (*.f64 y y))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1/6 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
#s(literal -1/6 binary64)
(*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (/.f64 (sinh.f64 y) y))
#s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))
#s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(/.f64 (sinh.f64 y) y)
(sinh.f64 y)
#s(approx (* (sinh y) (* (/ 1 y) (cos x))) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
#s(approx (* (sinh y) (* (/ 1 y) (cos x))) #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) (* (/ 1 y) (cos x))) #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) (* (/ 1 y) (cos x))) #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 (* (/ 1 y) (cos x)) #s(hole binary64 (/ 1 y)))
#s(approx (* (/ 1 y) (cos x)) #s(hole binary64 (+ (* -1/2 (/ (pow x 2) y)) (/ 1 y))))
#s(approx (* (/ 1 y) (cos x)) #s(hole binary64 (+ (* (pow x 2) (- (* 1/24 (/ (pow x 2) y)) (* 1/2 (/ 1 y)))) (/ 1 y))))
#s(approx (* (/ 1 y) (cos x)) #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 x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* (* x x) -1/2) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (* (sinh y) (* (/ 1 y) (cos x))) #s(hole binary64 (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))))
#s(approx (* (/ 1 y) (cos x)) #s(hole binary64 (/ (cos x) y)))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))))
#s(approx (* (sinh y) (* (/ 1 y) (cos x))) #s(hole binary64 (+ (cos x) (* 1/6 (* (pow y 2) (cos x))))))
#s(approx (* (sinh y) (* (/ 1 y) (cos x))) #s(hole binary64 (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))))
#s(approx (* (sinh y) (* (/ 1 y) (cos x))) #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) #s(hole binary64 y))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2))))))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (* (sinh y) (/ 1 y)) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
#s(approx (* (sinh y) (/ 1 y)) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))
#s(approx (* (* y y) 1/6) #s(hole binary64 (* 1/6 (pow y 2))))
#s(approx (- (/ 1 (* y y)) -1/6) #s(hole binary64 (/ 1 (pow y 2))))
#s(approx (- (/ 1 (* y y)) -1/6) #s(hole binary64 (/ (+ 1 (* 1/6 (pow y 2))) (pow y 2))))
#s(approx (sinh y) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
#s(approx (* (+ (* (* y y) 1/6) 1) y) #s(hole binary64 (* 1/6 (pow y 3))))
#s(approx (* (+ (* (* y y) 1/6) 1) y) #s(hole binary64 (* (pow y 3) (+ 1/6 (/ 1 (pow y 2))))))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))))
#s(approx (- (/ 1 (* y y)) -1/6) #s(hole binary64 1/6))
#s(approx (- (/ 1 (* y y)) -1/6) #s(hole binary64 (+ 1/6 (/ 1 (pow y 2)))))
Outputs
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y y)) y) #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))))
(*.f64 (/.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) y) #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y y)))
(*.f64 #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y y)) (/.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) y))
(/.f64 (*.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y y))) y)
#s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y y))
(*.f64 (*.f64 (*.f64 y y) y) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1/6 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) y))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(neg.f64 (*.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 (*.f64 y y) y)))
(neg.f64 (*.f64 (*.f64 (*.f64 y y) y) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y)))))
(fma.f64 (*.f64 (*.f64 y y) y) (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 y y) y) (*.f64 y y)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y y)
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) y) (/.f64 (*.f64 (*.f64 y y) y) (*.f64 y y)))
(fma.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y)
(-.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 y y) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
(-.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) y)))
(-.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) (neg.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 y y))))
(-.f64 y (*.f64 (neg.f64 y) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))
(-.f64 y (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y))
(-.f64 y (neg.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(-.f64 y (neg.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y)))
(+.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)
(+.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 y y)) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))
(+.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y) y)
(+.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) (/.f64 (*.f64 (*.f64 y y) y) (*.f64 y y)))
(+.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))
(+.f64 y (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1/6 binary64)) y) y)
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1/6 binary64)) (*.f64 y y))
(*.f64 (*.f64 y y) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1/6 binary64)))
(neg.f64 (*.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 y y)))
(neg.f64 (*.f64 (*.f64 y y) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y)))))
(neg.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)))
(fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
(-.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
(-.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y y)))
(-.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 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 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y)))
(*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)))
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)))
(*.f64 (fabs.f64 y) (fabs.f64 y))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 y y)
(pow.f64 (fabs.f64 (fabs.f64 y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (fabs.f64 y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 y)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 y) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 y) y))
(sqrt.f64 (*.f64 (*.f64 y y) (*.f64 y y)))
(fabs.f64 (*.f64 (neg.f64 y) y))
(fabs.f64 (*.f64 y y))
y
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) y))
(/.f64 (*.f64 #s(literal -1 binary64) #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))) (neg.f64 y))
(/.f64 (neg.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))) (neg.f64 y))
(/.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) y)
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(pow.f64 y #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 y))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 y)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) y))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 y)))
(/.f64 #s(literal 1 binary64) y)
(neg.f64 (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))) #s(literal 2 binary64))
(neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) x) x)))
(neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) x) x) #s(literal 1 binary64))
(-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) x) x))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
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#s(approx (* (sinh y) (* (/ 1 y) (cos x))) (/.f64 (sinh.f64 y) y))
#s(approx (* (sinh y) (* (/ 1 y) (cos x))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (sinh.f64 y)) y))
#s(approx (* (sinh y) (* (/ 1 y) (cos x))) (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 (* (sinh y) (* (/ 1 y) (cos x))) (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 (* (/ 1 y) (cos x)) (/.f64 #s(literal 1 binary64) y))
#s(approx (* (/ 1 y) (cos x)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)) y))
#s(approx (* (/ 1 y) (cos x)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) y) (*.f64 x x) (/.f64 #s(literal 1 binary64) y)))
#s(approx (* (/ 1 y) (cos x)) (fma.f64 (fma.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))
(*.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))) #s(literal 2 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 (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) (*.f64 x x))
#s(approx x x)
#s(approx (* (* x x) -1/2) (*.f64 (*.f64 #s(literal -1/2 binary64) x) x))
#s(approx (* (sinh y) (* (/ 1 y) (cos x))) (*.f64 (*.f64 (cos.f64 x) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y)) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 y) (cos x)) (/.f64 (cos.f64 x) y))
#s(approx (cos x) (cos.f64 x))
#s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (* (sinh y) (* (/ 1 y) (cos x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (cos.f64 x)))
#s(approx (* (sinh y) (* (/ 1 y) (cos x))) (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) (* (/ 1 y) (cos x))) (fma.f64 (fma.f64 (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) (*.f64 (cos.f64 x) #s(literal 1/6 binary64))) (*.f64 y y) (cos.f64 x)))
#s(approx (sinh y) y)
#s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y y))
#s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))
#s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))
#s(approx (+ (* (* y y) 1/6) 1) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
#s(approx (* y y) (*.f64 y y))
#s(approx (* (sinh y) (/ 1 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) (/ 1 y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (* (* y y) 1/6) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))
#s(approx (- (/ 1 (* y y)) -1/6) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
#s(approx (- (/ 1 (* y y)) -1/6) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1/6 binary64)))
#s(approx (sinh y) (sinh.f64 y))
#s(approx (* (+ (* (* y y) 1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))
#s(approx (* (+ (* (* y y) 1/6) 1) y) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y y))
#s(approx (+ (* (* y y) 1/6) 1) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
#s(approx (- (/ 1 (* y y)) -1/6) #s(literal 1/6 binary64))
#s(approx (- (/ 1 (* y y)) -1/6) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1/6 binary64)))

eval36.0ms (0.5%)

Memory
-17.9MiB live, 74.2MiB allocated; 7ms collecting garbage
Compiler

Compiled 2 868 to 1 527 computations (46.8% saved)

prune23.0ms (0.4%)

Memory
-6.7MiB live, 49.0MiB allocated; 4ms collecting garbage
Pruning

26 alts after pruning (19 fresh and 7 done)

PrunedKeptTotal
New33211343
Fresh2810
Picked325
Done055
Total33726363
Accuracy
100.0%
Counts
363 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
13.3%
(/.f64 (*.f64 (sinh.f64 y) #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) x) x)))) y)
27.8%
(*.f64 (*.f64 #s(approx (sinh y) y) #s(approx (cos x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y))
13.3%
(*.f64 (*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) x) x))) (sinh.f64 y)) (/.f64 #s(literal 1 binary64) y))
100.0%
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
46.0%
(*.f64 (cos.f64 x) (/.f64 #s(approx (sinh y) y) y))
72.5%
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
32.4%
(*.f64 #s(approx (sinh y) #s(approx (* (+ (* (* y y) 1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
33.1%
(*.f64 #s(approx (sinh y) y) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
35.4%
(*.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))
36.6%
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y))
32.6%
(*.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 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) y))
53.1%
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (* (sinh y) (/ 1 y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
27.8%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) y) y))
45.9%
#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))
69.8%
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (sinh.f64 y) y))
40.9%
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 #s(approx (sinh y) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y) #s(literal 1/6 binary64)) (*.f64 y y)) y)) y))
41.0%
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 #s(approx (sinh y) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal -1/6 binary64)) (*.f64 y y)) y)) y))
14.5%
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 #s(approx (sinh y) (*.f64 (*.f64 #s(approx (- (/ 1 (* y y)) -1/6) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 y y)) y)) y))
29.0%
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 #s(approx (sinh y) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) y))
32.7%
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 #s(approx (sinh y) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (sqrt.f64 (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1/6 binary64))) y)) y))
29.0%
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 #s(approx (sinh y) #s(approx (* (+ (* (* y y) 1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))) y))
45.9%
#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))) (/.f64 #s(literal 1 binary64) y)))
29.0%
#s(approx (* (cos x) (/ (sinh y) y)) (*.f64 #s(approx (sinh y) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) (/.f64 #s(literal 1 binary64) y)))
47.6%
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (* (sinh y) (/ 1 y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
47.6%
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (* (sinh y) (/ 1 y)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
34.9%
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (* (sinh y) (/ 1 y)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1/6 binary64)) (*.f64 y y))))
Compiler

Compiled 736 to 571 computations (22.4% saved)

regimes51.0ms (0.8%)

Memory
3.3MiB live, 95.9MiB allocated; 4ms collecting garbage
Counts
40 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) y) y))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (* (sinh y) (/ 1 y)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (* (sinh y) (/ 1 y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(approx (sinh y) y) #s(approx (cos x) #s(literal 1 binary64))) (/.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 #s(approx (sinh y) #s(approx (* (+ (* (* y y) 1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 #s(approx (sinh y) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) 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))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (* (sinh y) (/ 1 y)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1/6 binary64)) (*.f64 y y))))
#s(approx (* (cos x) (/ (sinh y) y)) (*.f64 #s(approx (sinh y) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) (/.f64 #s(literal 1 binary64) y)))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (sinh.f64 y) y))
(*.f64 #s(approx (sinh y) y) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 #s(approx (sinh y) (*.f64 (*.f64 #s(approx (- (/ 1 (* y y)) -1/6) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 y y)) y)) y))
#s(approx (* (cos x) (/ (sinh y) y)) (*.f64 (sinh.f64 y) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (* (sinh y) (/ 1 y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 #s(approx (sinh y) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (sqrt.f64 (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1/6 binary64))) y)) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 #s(approx (sinh y) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1/6 binary64)) (*.f64 y y)) y)) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 #s(approx (sinh y) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal -1/6 binary64)) (*.f64 y y)) 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))
(*.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 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 #s(approx (sinh y) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y) #s(literal 1/6 binary64)) (*.f64 y y)) y)) y))
(/.f64 (*.f64 (sinh.f64 y) #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) x) x)))) 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))
(*.f64 #s(approx (sinh y) #s(approx (* (+ (* (* y y) 1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y))
(/.f64 (*.f64 (sinh.f64 y) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) 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)))
(*.f64 (*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) x) x))) (sinh.f64 y)) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (sinh.f64 y) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sinh.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y))
#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) (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 (sinh.f64 y) 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))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (cos.f64 x) (/.f64 #s(approx (sinh y) y) y))
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Outputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Calls

5 calls:

12.0ms
x
10.0ms
y
9.0ms
(cos.f64 x)
8.0ms
(/.f64 (sinh.f64 y) y)
8.0ms
(*.f64 (cos.f64 x) (/.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)

regimes83.0ms (1.3%)

Memory
21.1MiB live, 114.7MiB allocated; 51ms 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))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (* (sinh y) (/ 1 y)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (* (sinh y) (/ 1 y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(approx (sinh y) y) #s(approx (cos x) #s(literal 1 binary64))) (/.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 #s(approx (sinh y) #s(approx (* (+ (* (* y y) 1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 #s(approx (sinh y) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) 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))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (* (sinh y) (/ 1 y)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1/6 binary64)) (*.f64 y y))))
#s(approx (* (cos x) (/ (sinh y) y)) (*.f64 #s(approx (sinh y) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) (/.f64 #s(literal 1 binary64) y)))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (sinh.f64 y) y))
(*.f64 #s(approx (sinh y) y) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 #s(approx (sinh y) (*.f64 (*.f64 #s(approx (- (/ 1 (* y y)) -1/6) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 y y)) y)) y))
#s(approx (* (cos x) (/ (sinh y) y)) (*.f64 (sinh.f64 y) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (* (sinh y) (/ 1 y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 #s(approx (sinh y) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (sqrt.f64 (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1/6 binary64))) y)) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 #s(approx (sinh y) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1/6 binary64)) (*.f64 y y)) y)) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 #s(approx (sinh y) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal -1/6 binary64)) (*.f64 y y)) 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))
(*.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 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 #s(approx (sinh y) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y) #s(literal 1/6 binary64)) (*.f64 y y)) y)) y))
(/.f64 (*.f64 (sinh.f64 y) #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) x) x)))) 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))
(*.f64 #s(approx (sinh y) #s(approx (* (+ (* (* y y) 1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y))
(/.f64 (*.f64 (sinh.f64 y) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) 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)))
(*.f64 (*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) x) x))) (sinh.f64 y)) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (sinh.f64 y) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sinh.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y))
#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) (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 (sinh.f64 y) 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))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (cos.f64 x) (/.f64 #s(approx (sinh y) y) y))
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
Outputs
(/.f64 (*.f64 (sinh.f64 y) #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) x) x)))) 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 (* (cos x) (/ (sinh y) y)) (/.f64 (sinh.f64 y) y))
Calls

5 calls:

43.0ms
(cos.f64 x)
12.0ms
x
10.0ms
y
8.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
7.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
87.8%2(/.f64 (sinh.f64 y) y)
88.2%2(cos.f64 x)
99.9%3(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
87.0%2x
94.5%3y
Compiler

Compiled 13 to 17 computations (-30.8% saved)

regimes16.0ms (0.2%)

Memory
-23.7MiB live, 24.7MiB allocated; 9ms collecting garbage
Counts
38 → 3
Calls
Call 1
Inputs
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) y) y))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (* (sinh y) (/ 1 y)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (* (sinh y) (/ 1 y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(approx (sinh y) y) #s(approx (cos x) #s(literal 1 binary64))) (/.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 #s(approx (sinh y) #s(approx (* (+ (* (* y y) 1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 #s(approx (sinh y) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) 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))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (* (sinh y) (/ 1 y)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1/6 binary64)) (*.f64 y y))))
#s(approx (* (cos x) (/ (sinh y) y)) (*.f64 #s(approx (sinh y) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) (/.f64 #s(literal 1 binary64) y)))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (sinh.f64 y) y))
(*.f64 #s(approx (sinh y) y) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 #s(approx (sinh y) (*.f64 (*.f64 #s(approx (- (/ 1 (* y y)) -1/6) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 y y)) y)) y))
#s(approx (* (cos x) (/ (sinh y) y)) (*.f64 (sinh.f64 y) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (* (sinh y) (/ 1 y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 #s(approx (sinh y) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (sqrt.f64 (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1/6 binary64))) y)) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 #s(approx (sinh y) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1/6 binary64)) (*.f64 y y)) y)) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 #s(approx (sinh y) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal -1/6 binary64)) (*.f64 y y)) 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))
(*.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 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 #s(approx (sinh y) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y) #s(literal 1/6 binary64)) (*.f64 y y)) y)) y))
(/.f64 (*.f64 (sinh.f64 y) #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) x) x)))) 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))
(*.f64 #s(approx (sinh y) #s(approx (* (+ (* (* y y) 1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y))
(/.f64 (*.f64 (sinh.f64 y) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) 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)))
(*.f64 (*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) x) x))) (sinh.f64 y)) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (sinh.f64 y) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sinh.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y))
#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) (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 (sinh.f64 y) 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))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (cos.f64 x) (/.f64 #s(approx (sinh y) y) y))
Outputs
(/.f64 (*.f64 (sinh.f64 y) #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) x) x)))) 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:

14.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
99.8%3(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 6 to 6 computations (0% saved)

regimes51.0ms (0.8%)

Memory
20.5MiB live, 112.4MiB allocated; 8ms collecting garbage
Counts
37 → 2
Calls
Call 1
Inputs
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) y) y))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (* (sinh y) (/ 1 y)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (* (sinh y) (/ 1 y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(approx (sinh y) y) #s(approx (cos x) #s(literal 1 binary64))) (/.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 #s(approx (sinh y) #s(approx (* (+ (* (* y y) 1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 #s(approx (sinh y) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) 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))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (* (sinh y) (/ 1 y)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1/6 binary64)) (*.f64 y y))))
#s(approx (* (cos x) (/ (sinh y) y)) (*.f64 #s(approx (sinh y) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) (/.f64 #s(literal 1 binary64) y)))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (sinh.f64 y) y))
(*.f64 #s(approx (sinh y) y) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 #s(approx (sinh y) (*.f64 (*.f64 #s(approx (- (/ 1 (* y y)) -1/6) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 y y)) y)) y))
#s(approx (* (cos x) (/ (sinh y) y)) (*.f64 (sinh.f64 y) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (* (sinh y) (/ 1 y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 #s(approx (sinh y) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (sqrt.f64 (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1/6 binary64))) y)) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 #s(approx (sinh y) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1/6 binary64)) (*.f64 y y)) y)) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 #s(approx (sinh y) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal -1/6 binary64)) (*.f64 y y)) 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))
(*.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 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 #s(approx (sinh y) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y) #s(literal 1/6 binary64)) (*.f64 y y)) y)) y))
(/.f64 (*.f64 (sinh.f64 y) #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) x) x)))) 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))
(*.f64 #s(approx (sinh y) #s(approx (* (+ (* (* y y) 1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y))
(/.f64 (*.f64 (sinh.f64 y) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) 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)))
(*.f64 (*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) x) x))) (sinh.f64 y)) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (sinh.f64 y) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sinh.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y))
#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) (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 (sinh.f64 y) 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))) (/.f64 #s(literal 1 binary64) y)))
Outputs
(/.f64 (*.f64 (sinh.f64 y) #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) x) x)))) y)
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (sinh.f64 y) y))
Calls

5 calls:

13.0ms
x
13.0ms
y
9.0ms
(cos.f64 x)
8.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
7.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
69.8%1x
69.8%1(/.f64 (sinh.f64 y) y)
82.2%2(cos.f64 x)
73.7%2y
82.2%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 13 to 17 computations (-30.8% saved)

regimes15.0ms (0.2%)

Memory
-20.8MiB live, 32.3MiB allocated; 4ms collecting garbage
Counts
22 → 2
Calls
Call 1
Inputs
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) y) y))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (* (sinh y) (/ 1 y)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (* (sinh y) (/ 1 y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(approx (sinh y) y) #s(approx (cos x) #s(literal 1 binary64))) (/.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 #s(approx (sinh y) #s(approx (* (+ (* (* y y) 1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 #s(approx (sinh y) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) 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))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (* (sinh y) (/ 1 y)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1/6 binary64)) (*.f64 y y))))
#s(approx (* (cos x) (/ (sinh y) y)) (*.f64 #s(approx (sinh y) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) (/.f64 #s(literal 1 binary64) y)))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (sinh.f64 y) y))
(*.f64 #s(approx (sinh y) y) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 #s(approx (sinh y) (*.f64 (*.f64 #s(approx (- (/ 1 (* y y)) -1/6) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 y y)) y)) y))
#s(approx (* (cos x) (/ (sinh y) y)) (*.f64 (sinh.f64 y) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (* (sinh y) (/ 1 y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 #s(approx (sinh y) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (sqrt.f64 (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1/6 binary64))) y)) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 #s(approx (sinh y) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1/6 binary64)) (*.f64 y y)) y)) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 #s(approx (sinh y) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal -1/6 binary64)) (*.f64 y y)) 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))
(*.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 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 #s(approx (sinh y) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y) #s(literal 1/6 binary64)) (*.f64 y y)) y)) y))
Outputs
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (* (sinh y) (/ 1 y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (sinh.f64 y) y))
Calls

2 calls:

9.0ms
(cos.f64 x)
5.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
81.4%2(cos.f64 x)
81.4%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 8 to 9 computations (-12.5% saved)

regimes9.0ms (0.1%)

Memory
17.1MiB live, 17.1MiB allocated; 0ms collecting garbage
Counts
15 → 2
Calls
Call 1
Inputs
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) y) y))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (* (sinh y) (/ 1 y)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (* (sinh y) (/ 1 y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(approx (sinh y) y) #s(approx (cos x) #s(literal 1 binary64))) (/.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 #s(approx (sinh y) #s(approx (* (+ (* (* y y) 1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 #s(approx (sinh y) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) 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))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (* (sinh y) (/ 1 y)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1/6 binary64)) (*.f64 y y))))
#s(approx (* (cos x) (/ (sinh y) y)) (*.f64 #s(approx (sinh y) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) (/.f64 #s(literal 1 binary64) y)))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (sinh.f64 y) y))
(*.f64 #s(approx (sinh y) y) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 #s(approx (sinh y) (*.f64 (*.f64 #s(approx (- (/ 1 (* y y)) -1/6) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 y y)) y)) y))
#s(approx (* (cos x) (/ (sinh y) y)) (*.f64 (sinh.f64 y) (/.f64 #s(literal 1 binary64) y)))
Outputs
(*.f64 #s(approx (sinh y) y) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #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
77.3%2(cos.f64 x)
77.3%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 8 to 9 computations (-12.5% saved)

regimes25.0ms (0.4%)

Memory
-15.4MiB live, 31.4MiB allocated; 2ms collecting garbage
Counts
12 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) y) y))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (* (sinh y) (/ 1 y)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (* (sinh y) (/ 1 y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(approx (sinh y) y) #s(approx (cos x) #s(literal 1 binary64))) (/.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 #s(approx (sinh y) #s(approx (* (+ (* (* y y) 1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 #s(approx (sinh y) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) 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))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (* (sinh y) (/ 1 y)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1/6 binary64)) (*.f64 y y))))
#s(approx (* (cos x) (/ (sinh y) y)) (*.f64 #s(approx (sinh y) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) (/.f64 #s(literal 1 binary64) y)))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (sinh.f64 y) y))
Outputs
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (sinh.f64 y) y))
Calls

4 calls:

15.0ms
y
3.0ms
(cos.f64 x)
3.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
3.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
69.8%1(/.f64 (sinh.f64 y) y)
69.8%1y
69.8%1(cos.f64 x)
69.8%1(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 12 to 15 computations (-25% saved)

regimes47.0ms (0.7%)

Memory
-5.6MiB live, 40.6MiB allocated; 2ms collecting garbage
Counts
11 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) y) y))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (* (sinh y) (/ 1 y)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (* (sinh y) (/ 1 y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(approx (sinh y) y) #s(approx (cos x) #s(literal 1 binary64))) (/.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 #s(approx (sinh y) #s(approx (* (+ (* (* y y) 1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 #s(approx (sinh y) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) 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))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (* (sinh y) (/ 1 y)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1/6 binary64)) (*.f64 y y))))
#s(approx (* (cos x) (/ (sinh y) y)) (*.f64 #s(approx (sinh y) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) (/.f64 #s(literal 1 binary64) y)))
Outputs
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y)) y))
Calls

5 calls:

34.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
3.0ms
x
3.0ms
y
3.0ms
(cos.f64 x)
2.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
53.7%1(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
53.7%1(cos.f64 x)
53.7%1x
53.7%1(/.f64 (sinh.f64 y) y)
53.7%1y
Compiler

Compiled 13 to 17 computations (-30.8% saved)

regimes12.0ms (0.2%)

Memory
26.9MiB live, 26.9MiB 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))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (* (sinh y) (/ 1 y)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (* (sinh y) (/ 1 y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(approx (sinh y) y) #s(approx (cos x) #s(literal 1 binary64))) (/.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 #s(approx (sinh y) #s(approx (* (+ (* (* y y) 1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 #s(approx (sinh y) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) y))
Outputs
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) y) y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 #s(approx (sinh y) #s(approx (* (+ (* (* y y) 1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))) y))
Calls

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
53.7%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
53.7%2(/.f64 (sinh.f64 y) y)
53.7%2y
49.7%2(cos.f64 x)
49.3%2x
Compiler

Compiled 13 to 17 computations (-30.8% saved)

regimes92.0ms (1.4%)

Memory
-26.2MiB live, 20.7MiB allocated; 2ms 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))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (* (sinh y) (/ 1 y)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (* (sinh y) (/ 1 y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(approx (sinh y) y) #s(approx (cos x) #s(literal 1 binary64))) (/.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))))
Outputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (* (sinh y) (/ 1 y)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
Calls

5 calls:

85.0ms
x
2.0ms
y
2.0ms
(cos.f64 x)
2.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
1.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
47.6%1x
47.6%1(cos.f64 x)
47.6%1(/.f64 (sinh.f64 y) y)
47.6%1y
47.6%1(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 13 to 17 computations (-30.8% saved)

regimes5.0ms (0.1%)

Memory
15.4MiB live, 15.4MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) y) 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
27.8%1y
27.8%1(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
27.8%1(/.f64 (sinh.f64 y) y)
27.8%1(cos.f64 x)
27.8%1x
Compiler

Compiled 13 to 17 computations (-30.8% saved)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999999999998
1.0
0.0ms
-inf
-0.9976642787928042
Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch0.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999999999998
1.0
0.0ms
-inf
-0.9976642787928042
Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.010465300352111333
0.013133952914613575
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
-0.010465300352111333
0.013133952914613575
Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.010465300352111333
0.013133952914613575
Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000000000000087
+inf
Compiler

Compiled 9 to 11 computations (-22.2% saved)

derivations785.0ms (11.9%)

Memory
38.9MiB live, 783.4MiB allocated; 135ms collecting garbage
Stop Event
fuel
Compiler

Compiled 112 to 83 computations (25.9% saved)

preprocess209.0ms (3.2%)

Memory
-27.6MiB live, 203.9MiB allocated; 55ms collecting garbage
Remove

(abs y)

(abs x)

Compiler

Compiled 1 142 to 1 001 computations (12.3% saved)

end0.0ms (0%)

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

Profiling

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