Linear.Quaternion:$csin from linear-1.19.1.3

Time bar (total: 3.1s)

start0.0ms (0%)

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

analyze24.0ms (0.8%)

Memory
2.8MiB live, 51.1MiB allocated; 13ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
93.8%93.7%6.2%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
96.9%96.8%3.1%0.1%0%0%0%12
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.1s (34.4%)

Memory
13.1MiB live, 1 592.2MiB allocated; 484ms collecting garbage
Samples
806.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 503.0ms
ival-cos: 315.0ms (62.6% of total)
ival-sinh: 88.0ms (17.5% of total)
ival-div!: 53.0ms (10.5% of total)
ival-mult!: 46.0ms (9.1% of total)
adjust: 2.0ms (0.4% of total)
Bogosity

preprocess68.0ms (2.2%)

Memory
-42.0MiB live, 55.3MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01944
16344
222844
383444
4630944
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)

series13.0ms (0.4%)

Memory
17.5MiB live, 17.5MiB 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
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)

rewrite156.0ms (5%)

Memory
32.8MiB live, 167.7MiB allocated; 16ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0113479
0117467
1650430
06002402
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
28 → 49
Calls
Call 1
Inputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(cos.f64 x)
x
(/.f64 (sinh.f64 y) y)
(sinh.f64 y)
y
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (cos x) (* 1/6 (* (pow y 2) (cos x))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))
#s(approx (sinh y) #s(hole binary64 y))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2))))))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))))
#s(approx (sinh y) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
Outputs
(*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (*.f64 (cos.f64 x) (sinh.f64 (neg.f64 y))) (neg.f64 y))
(/.f64 (*.f64 (sinh.f64 (neg.f64 y)) (cos.f64 x)) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (sinh.f64 y) (cos.f64 x))) (neg.f64 y))
(/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) y)
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(fma.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (*.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
x
(/.f64 (neg.f64 (sinh.f64 (neg.f64 y))) (neg.f64 (neg.f64 y)))
(/.f64 (sinh.f64 (neg.f64 y)) (neg.f64 y))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 #s(literal 2 binary64) y))
(/.f64 (sinh.f64 y) y)
(neg.f64 (/.f64 (sinh.f64 y) (neg.f64 y)))
(neg.f64 (/.f64 (sinh.f64 (neg.f64 y)) y))
(/.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) #s(literal 2 binary64)))
(/.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 y) #s(literal 3 binary64)))) (*.f64 (+.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64))) #s(literal 1 binary64)) (exp.f64 (+.f64 y y))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 2 binary64))
(sinh.f64 y)
(-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64)))
y
#s(approx (* (cos x) (/ (sinh y) y)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) x) x) #s(literal -1/4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))) y))
#s(approx (* (cos x) (/ (sinh y) y)) (fma.f64 (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) x) x) #s(literal 1/48 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) y) x) x (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) (fma.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) x) x) #s(literal -1/1440 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) y) x) x (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal -1/4 binary64))) (*.f64 x x) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64))))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (* (cos x) (/ (sinh y) y)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y)))
#s(approx (cos x) (cos.f64 x))
#s(approx (* (cos x) (/ (sinh y) y)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (cos.f64 x)))
#s(approx (* (cos x) (/ (sinh y) y)) (fma.f64 (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (cos.f64 x)))
#s(approx (* (cos x) (/ (sinh y) y)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (cos.f64 x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) y) y) y) y)))
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))
#s(approx (sinh y) y)
#s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))
#s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))
#s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y))
#s(approx (sinh y) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))

eval34.0ms (1.1%)

Memory
-37.3MiB live, 16.4MiB allocated; 7ms collecting garbage
Compiler

Compiled 374 to 203 computations (45.7% saved)

prune4.0ms (0.1%)

Memory
8.2MiB live, 8.2MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New36743
Fresh000
Picked101
Done000
Total37744
Accuracy
100.0%
Counts
44 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) y)
57.0%
(*.f64 (cos.f64 x) (/.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))) y))
47.6%
(*.f64 (cos.f64 x) (/.f64 #s(approx (sinh y) y) y))
73.3%
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
63.8%
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y))
67.8%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
86.6%
#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)))
Compiler

Compiled 142 to 138 computations (2.8% saved)

series10.0ms (0.3%)

Memory
21.1MiB live, 21.1MiB allocated; 0ms collecting garbage
Counts
23 → 36
Calls
Call 1
Inputs
(/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) y)
(*.f64 (sinh.f64 y) (cos.f64 x))
(sinh.f64 y)
y
(cos.f64 x)
x
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
#s(approx (cos x) #s(literal 1 binary64))
#s(literal 1 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 (sinh.f64 y) y))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 x x)
(*.f64 (cos.f64 x) (/.f64 #s(approx (sinh y) y) y))
(/.f64 #s(approx (sinh y) y) y)
#s(approx (sinh y) y)
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(*.f64 y y)
#s(literal 1/6 binary64)
Outputs
#s(approx (/ (* (sinh y) (cos x)) y) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
#s(approx (/ (* (sinh y) (cos x)) y) #s(hole binary64 (+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))))
#s(approx (/ (* (sinh y) (cos x)) y) #s(hole binary64 (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))))
#s(approx (/ (* (sinh y) (cos x)) y) #s(hole binary64 (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))))
#s(approx (* (sinh y) (cos x)) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
#s(approx (* (sinh y) (cos x)) #s(hole binary64 (+ (* -1/4 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))))
#s(approx (* (sinh y) (cos x)) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/4 (- (exp y) (/ 1 (exp y)))) (* 1/48 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))))
#s(approx (* (sinh y) (cos x)) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/4 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/1440 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/48 (- (exp y) (/ 1 (exp y)))))))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (* (sinh y) (cos x)) y) #s(hole binary64 (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))))
#s(approx (* (sinh y) (cos x)) #s(hole binary64 (* 1/2 (* (cos x) (- (exp y) (/ 1 (exp y)))))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))))
#s(approx (/ (* (sinh y) (cos x)) y) #s(hole binary64 (+ (cos x) (* 1/6 (* (pow y 2) (cos x))))))
#s(approx (/ (* (sinh y) (cos x)) y) #s(hole binary64 (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))))
#s(approx (/ (* (sinh y) (cos x)) y) #s(hole binary64 (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))))
#s(approx (* (sinh y) (cos x)) #s(hole binary64 (* y (cos x))))
#s(approx (* (sinh y) (cos x)) #s(hole binary64 (* y (+ (cos x) (* 1/6 (* (pow y 2) (cos x)))))))
#s(approx (* (sinh y) (cos x)) #s(hole binary64 (* y (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))))))
#s(approx (* (sinh y) (cos x)) #s(hole binary64 (* y (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x))))))))))
#s(approx (sinh y) #s(hole binary64 y))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2))))))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (* 1/6 (pow y 2))))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))))
Calls

6 calls:

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

rewrite247.0ms (7.9%)

Memory
13.5MiB live, 200.0MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0171903
0194874
1953775
08466740
Stop Event
iter-limit
node-limit
iter-limit
Counts
59 → 215
Calls
Call 1
Inputs
(/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) y)
(*.f64 (sinh.f64 y) (cos.f64 x))
(sinh.f64 y)
y
(cos.f64 x)
x
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
#s(approx (cos x) #s(literal 1 binary64))
#s(literal 1 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 (sinh.f64 y) y))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 x x)
(*.f64 (cos.f64 x) (/.f64 #s(approx (sinh y) y) y))
(/.f64 #s(approx (sinh y) y) y)
#s(approx (sinh y) y)
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(*.f64 y y)
#s(literal 1/6 binary64)
#s(approx (/ (* (sinh y) (cos x)) y) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
#s(approx (/ (* (sinh y) (cos x)) y) #s(hole binary64 (+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))))
#s(approx (/ (* (sinh y) (cos x)) y) #s(hole binary64 (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))))
#s(approx (/ (* (sinh y) (cos x)) y) #s(hole binary64 (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))))
#s(approx (* (sinh y) (cos x)) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
#s(approx (* (sinh y) (cos x)) #s(hole binary64 (+ (* -1/4 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))))
#s(approx (* (sinh y) (cos x)) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/4 (- (exp y) (/ 1 (exp y)))) (* 1/48 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))))
#s(approx (* (sinh y) (cos x)) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/4 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/1440 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/48 (- (exp y) (/ 1 (exp y)))))))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (* (sinh y) (cos x)) y) #s(hole binary64 (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))))
#s(approx (* (sinh y) (cos x)) #s(hole binary64 (* 1/2 (* (cos x) (- (exp y) (/ 1 (exp y)))))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))))
#s(approx (/ (* (sinh y) (cos x)) y) #s(hole binary64 (+ (cos x) (* 1/6 (* (pow y 2) (cos x))))))
#s(approx (/ (* (sinh y) (cos x)) y) #s(hole binary64 (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))))
#s(approx (/ (* (sinh y) (cos x)) y) #s(hole binary64 (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))))
#s(approx (* (sinh y) (cos x)) #s(hole binary64 (* y (cos x))))
#s(approx (* (sinh y) (cos x)) #s(hole binary64 (* y (+ (cos x) (* 1/6 (* (pow y 2) (cos x)))))))
#s(approx (* (sinh y) (cos x)) #s(hole binary64 (* y (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))))))
#s(approx (* (sinh y) (cos x)) #s(hole binary64 (* y (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x))))))))))
#s(approx (sinh y) #s(hole binary64 y))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2))))))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (* 1/6 (pow y 2))))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))))
Outputs
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (neg.f64 (*.f64 (sinh.f64 (neg.f64 y)) (cos.f64 x))) (neg.f64 (neg.f64 y)))
(/.f64 (*.f64 (sinh.f64 (neg.f64 y)) (cos.f64 x)) (neg.f64 y))
(/.f64 (*.f64 (cos.f64 x) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y)) #s(literal 2 binary64))
(/.f64 (*.f64 (cos.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (*.f64 #s(literal 2 binary64) y))
(/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) y)
(neg.f64 (/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) (neg.f64 y)))
(neg.f64 (/.f64 (*.f64 (sinh.f64 (neg.f64 y)) (cos.f64 x)) y))
(*.f64 (sinh.f64 y) (cos.f64 x))
(*.f64 (cos.f64 x) (sinh.f64 y))
(/.f64 (*.f64 (cos.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal 2 binary64))
(/.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) #s(literal 2 binary64)))
(/.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 y) #s(literal 3 binary64)))) (*.f64 (+.f64 (exp.f64 (+.f64 y y)) (+.f64 (exp.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64))) #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 2 binary64))
(sinh.f64 y)
(-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64)))
y
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (*.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
x
(*.f64 (/.f64 (sinh.f64 y) y) #s(approx (cos x) #s(literal 1 binary64)))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (sinh.f64 (neg.f64 y))) (neg.f64 y))
(/.f64 (*.f64 (sinh.f64 (neg.f64 y)) #s(approx (cos x) #s(literal 1 binary64))) (neg.f64 y))
(/.f64 (*.f64 (sinh.f64 y) #s(approx (cos x) #s(literal 1 binary64))) y)
(/.f64 (neg.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (sinh.f64 y))) (neg.f64 y))
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (sinh.f64 y)) y)
#s(approx (cos x) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (neg.f64 (sinh.f64 (neg.f64 y))) (neg.f64 (neg.f64 y)))
(/.f64 (sinh.f64 (neg.f64 y)) (neg.f64 y))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 #s(literal 2 binary64) y))
(/.f64 (sinh.f64 y) y)
(neg.f64 (/.f64 (sinh.f64 y) (neg.f64 y)))
(neg.f64 (/.f64 (sinh.f64 (neg.f64 y)) y))
(*.f64 (/.f64 (sinh.f64 y) y) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y))
(/.f64 (*.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 (sinh.f64 y) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) y)
(/.f64 (neg.f64 (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sinh.f64 y))) (neg.f64 y))
(/.f64 (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sinh.f64 y)) y)
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)) x #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 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 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64))))
(-.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) x)) x))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 x) x) #s(literal -1/2 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64))))))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))))
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
#s(literal -1/2 binary64)
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(approx (sinh y) y) y) (cos.f64 x))
(*.f64 (cos.f64 x) (/.f64 #s(approx (sinh y) y) y))
(/.f64 (*.f64 (cos.f64 x) (neg.f64 #s(approx (sinh y) y))) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 #s(approx (sinh y) y)) (cos.f64 x)) (neg.f64 y))
(/.f64 (*.f64 #s(approx (sinh y) y) (cos.f64 x)) y)
(/.f64 (neg.f64 (*.f64 (cos.f64 x) #s(approx (sinh y) y))) (neg.f64 y))
(/.f64 (*.f64 (cos.f64 x) #s(approx (sinh y) y)) y)
(/.f64 (neg.f64 (neg.f64 #s(approx (sinh y) y))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 #s(approx (sinh y) y)) (neg.f64 y))
(/.f64 #s(approx (sinh y) y) y)
(neg.f64 (/.f64 #s(approx (sinh y) y) (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 #s(approx (sinh y) y)) y))
#s(approx (sinh y) y)
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) (cos.f64 x))
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (fabs.f64 y)) (fabs.f64 y))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (neg.f64 y)) (neg.f64 y))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y)
(*.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64))))
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y))
(*.f64 (*.f64 y y) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)))
(*.f64 y (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64))))
(/.f64 (*.f64 (*.f64 y y) (-.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
(/.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal -6 binary64)))) (+.f64 #s(literal 1/36 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) (*.f64 y y)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
(/.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal -6 binary64))) (*.f64 y y)) (+.f64 #s(literal 1/36 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))))))
(/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #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 1/6 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 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #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 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(-.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
(-.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 y y)))
(-.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 y) y) #s(literal 1/6 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (*.f64 y #s(literal 1/6 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))))))
(+.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #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 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(*.f64 (fabs.f64 y) (fabs.f64 y))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 y) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 y) y))
(fabs.f64 (*.f64 y y))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))))
#s(literal 1/6 binary64)
#s(approx (/ (* (sinh y) (cos x)) y) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64)))
#s(approx (/ (* (sinh y) (cos x)) y) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1/2 binary64))) y))
#s(approx (/ (* (sinh y) (cos x)) y) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal -1/4 binary64))) y) x) x (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64))))
#s(approx (/ (* (sinh y) (cos x)) y) (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (fma.f64 #s(literal -1/1440 binary64) (*.f64 x x) #s(literal 1/48 binary64))) y) x) x (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal -1/4 binary64))) (*.f64 x x) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64))))
#s(approx (* (sinh y) (cos x)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))
#s(approx (* (sinh y) (cos x)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (* (sinh y) (cos x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal -1/4 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))))
#s(approx (* (sinh y) (cos x)) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (fma.f64 #s(literal -1/1440 binary64) (*.f64 x x) #s(literal 1/48 binary64))) (*.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) x) x (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (* x x) (*.f64 x x))
#s(approx (/ (* (sinh y) (cos x)) y) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y)))
#s(approx (* (sinh y) (cos x)) (*.f64 (*.f64 (cos.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal 1/2 binary64)))
#s(approx (cos x) (cos.f64 x))
#s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
#s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) x))
#s(approx (/ (* (sinh y) (cos x)) y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (cos.f64 x)))
#s(approx (/ (* (sinh y) (cos x)) y) (fma.f64 (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (cos.f64 x)))
#s(approx (/ (* (sinh y) (cos x)) y) (fma.f64 (fma.f64 (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) (*.f64 #s(literal 1/6 binary64) (cos.f64 x))) (*.f64 y y) (cos.f64 x)))
#s(approx (* (sinh y) (cos x)) (*.f64 (cos.f64 x) y))
#s(approx (* (sinh y) (cos x)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (cos.f64 x)) y))
#s(approx (* (sinh y) (cos x)) (*.f64 (fma.f64 (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (cos.f64 x)) y))
#s(approx (* (sinh y) (cos x)) (*.f64 (fma.f64 (fma.f64 (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) (*.f64 #s(literal 1/6 binary64) (cos.f64 x))) (*.f64 y y) (cos.f64 x)) y))
#s(approx (sinh y) y)
#s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))
#s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))
#s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y))
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))
#s(approx (* y y) (*.f64 y y))
#s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))
#s(approx (+ (* (* y y) 1/6) 1) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))

eval41.0ms (1.3%)

Memory
-36.1MiB live, 54.1MiB allocated; 10ms collecting garbage
Compiler

Compiled 1 998 to 869 computations (56.5% saved)

prune11.0ms (0.3%)

Memory
24.8MiB live, 24.8MiB allocated; 0ms collecting garbage
Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New22212234
Fresh202
Picked325
Done000
Total22714241
Accuracy
100.0%
Counts
241 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.8%
(/.f64 (*.f64 (sinh.f64 y) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) y)
67.8%
(/.f64 (*.f64 (sinh.f64 y) #s(approx (cos x) #s(literal 1 binary64))) y)
99.9%
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
48.1%
(*.f64 (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
47.6%
(*.f64 (cos.f64 x) (/.f64 #s(approx (sinh y) y) y))
73.3%
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
49.9%
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y))))
29.0%
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
36.1%
(*.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y))
53.1%
(*.f64 #s(approx (cos x) #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))) (/.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) y))
43.2%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))) y))
55.5%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
86.6%
#s(approx (/ (* (sinh y) (cos x)) y) (fma.f64 (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (cos.f64 x)))
Compiler

Compiled 348 to 340 computations (2.3% saved)

series28.0ms (0.9%)

Memory
1.1MiB live, 45.9MiB allocated; 4ms collecting garbage
Counts
39 → 79
Calls
Call 1
Inputs
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(sinh.f64 y)
y
(/.f64 (cos.f64 x) y)
(cos.f64 x)
x
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
#s(approx (cos x) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y)
#s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(*.f64 y y)
#s(literal 1/6 binary64)
(*.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y))
#s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
#s(literal 1/24 binary64)
(*.f64 x x)
#s(literal 1/2 binary64)
(/.f64 #s(approx (sinh y) y) y)
#s(approx (sinh 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 (sinh.f64 y) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 (*.f64 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))
#s(literal -1/2 binary64)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))) y))
(/.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))) y)
(-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64)))
(/.f64 (exp.f64 y) #s(literal 2 binary64))
(exp.f64 y)
#s(literal 2 binary64)
(/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))
(exp.f64 (neg.f64 y))
(neg.f64 y)
Outputs
#s(approx (* (sinh y) (/ (cos x) y)) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
#s(approx (* (sinh y) (/ (cos x) y)) #s(hole binary64 (+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))))
#s(approx (* (sinh y) (/ (cos x) y)) #s(hole binary64 (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))))
#s(approx (* (sinh y) (/ (cos x) y)) #s(hole binary64 (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))))
#s(approx (/ (cos x) y) #s(hole binary64 (/ 1 y)))
#s(approx (/ (cos x) y) #s(hole binary64 (+ (* -1/2 (/ (pow x 2) y)) (/ 1 y))))
#s(approx (/ (cos x) y) #s(hole binary64 (+ (* (pow x 2) (- (* 1/24 (/ (pow x 2) y)) (* 1/2 (/ 1 y)))) (/ 1 y))))
#s(approx (/ (cos x) y) #s(hole binary64 (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/720 (/ (pow x 2) y)) (* 1/24 (/ 1 y)))) (* 1/2 (/ 1 y)))) (/ 1 y))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (- (* 1/24 (* x x)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* 1/24 (* x x)) 1/2) #s(hole binary64 (- (* 1/24 (pow x 2)) 1/2)))
#s(approx (* 1/24 (* x x)) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (sinh y) (cos x)) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
#s(approx (* (sinh y) (cos x)) #s(hole binary64 (+ (* -1/4 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))))
#s(approx (* (sinh y) (cos x)) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/4 (- (exp y) (/ 1 (exp y)))) (* 1/48 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))))
#s(approx (* (sinh y) (cos x)) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/4 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/1440 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/48 (- (exp y) (/ 1 (exp y)))))))))))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y)))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (- (+ (* -1/2 (/ (* (pow x 2) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y)) (* 1/2 (/ (exp y) y))) (* 1/2 (/ (exp (neg y)) y)))))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (- (+ (* 1/2 (/ (exp y) y)) (* (pow x 2) (+ (* -1/2 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y)) (* 1/24 (/ (* (pow x 2) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y))))) (* 1/2 (/ (exp (neg y)) y)))))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (- (+ (* 1/2 (/ (exp y) y)) (* (pow x 2) (+ (* -1/2 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y)) (* (pow x 2) (+ (* -1/720 (/ (* (pow x 2) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y)) (* 1/24 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y))))))) (* 1/2 (/ (exp (neg y)) y)))))
#s(approx (* (sinh y) (/ (cos x) y)) #s(hole binary64 (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))))
#s(approx (/ (cos x) y) #s(hole binary64 (/ (cos x) y)))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* 1/24 (pow x 4))))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (* 1/24 (* x x)) 1/2) #s(hole binary64 (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (* (sinh y) (cos x)) #s(hole binary64 (* 1/2 (* (cos x) (- (exp y) (/ 1 (exp y)))))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (/ (* (cos x) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y)))
#s(approx (* (sinh y) (/ (cos x) y)) #s(hole binary64 (+ (cos x) (* 1/6 (* (pow y 2) (cos x))))))
#s(approx (* (sinh y) (/ (cos x) y)) #s(hole binary64 (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))))
#s(approx (* (sinh y) (/ (cos x) y)) #s(hole binary64 (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))))
#s(approx (sinh y) #s(hole binary64 y))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2))))))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (* (sinh y) (cos x)) #s(hole binary64 (* y (cos x))))
#s(approx (* (sinh y) (cos x)) #s(hole binary64 (* y (+ (cos x) (* 1/6 (* (pow y 2) (cos x)))))))
#s(approx (* (sinh y) (cos x)) #s(hole binary64 (* y (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))))))
#s(approx (* (sinh y) (cos x)) #s(hole binary64 (* y (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x))))))))))
#s(approx (/ (exp y) 2) #s(hole binary64 1/2))
#s(approx (/ (exp y) 2) #s(hole binary64 (+ 1/2 (* 1/2 y))))
#s(approx (/ (exp y) 2) #s(hole binary64 (+ 1/2 (* y (+ 1/2 (* 1/4 y))))))
#s(approx (/ (exp y) 2) #s(hole binary64 (+ 1/2 (* y (+ 1/2 (* y (+ 1/4 (* 1/12 y))))))))
#s(approx (exp y) #s(hole binary64 (+ 1 y)))
#s(approx (exp y) #s(hole binary64 (+ 1 (* y (+ 1 (* 1/2 y))))))
#s(approx (exp y) #s(hole binary64 (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))))
#s(approx (/ (exp (neg y)) 2) #s(hole binary64 (+ 1/2 (* -1/2 y))))
#s(approx (/ (exp (neg y)) 2) #s(hole binary64 (+ 1/2 (* y (- (* 1/4 y) 1/2)))))
#s(approx (/ (exp (neg y)) 2) #s(hole binary64 (+ 1/2 (* y (- (* y (+ 1/4 (* -1/12 y))) 1/2)))))
#s(approx (exp (neg y)) #s(hole binary64 (+ 1 (* -1 y))))
#s(approx (exp (neg y)) #s(hole binary64 (+ 1 (* y (- (* 1/2 y) 1)))))
#s(approx (exp (neg y)) #s(hole binary64 (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))))
#s(approx (neg y) #s(hole binary64 (* -1 y)))
#s(approx (* (+ (* (* y y) 1/6) 1) y) #s(hole binary64 (* 1/6 (pow y 3))))
#s(approx (* (+ (* (* y y) 1/6) 1) y) #s(hole binary64 (* (pow y 3) (+ 1/6 (/ 1 (pow y 2))))))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (* 1/6 (pow y 2))))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))))
#s(approx (/ (exp y) 2) #s(hole binary64 (* 1/2 (exp y))))
#s(approx (exp y) #s(hole binary64 (exp y)))
#s(approx (/ (exp (neg y)) 2) #s(hole binary64 (* 1/2 (exp (neg y)))))
#s(approx (exp (neg y)) #s(hole binary64 (exp (neg y))))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (/ (* (cos x) (- (* 1/2 (exp y)) (* 1/2 (exp (* -1 y))))) y)))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (* -1 y)))) y)))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (- (* 1/2 (exp y)) (* 1/2 (exp (* -1 y))))))
#s(approx (/ (exp (neg y)) 2) #s(hole binary64 (* 1/2 (exp (* -1 y)))))
#s(approx (exp (neg y)) #s(hole binary64 (exp (* -1 y))))
Calls

6 calls:

TimeVariablePointExpression
5.0ms
y
@-inf
((* (sinh y) (/ (cos x) y)) (sinh y) y (/ (cos x) y) (cos x) x (* (cos x) (/ (sinh y) y)) (cos x) 1 (/ (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) (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (- (* 1/24 (* x x)) 1/2) (* 1/24 (* x x)) 1/24 (* x x) 1/2 (/ (sinh y) y) (sinh y) (/ (* (sinh y) (cos x)) y) (* (sinh y) (cos x)) (cos x) (+ (* (* x x) -1/2) 1) -1/2 (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (/ (exp y) 2) (exp y) 2 (/ (exp (neg y)) 2) (exp (neg y)) (neg y))
5.0ms
x
@-inf
((* (sinh y) (/ (cos x) y)) (sinh y) y (/ (cos x) y) (cos x) x (* (cos x) (/ (sinh y) y)) (cos x) 1 (/ (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) (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (- (* 1/24 (* x x)) 1/2) (* 1/24 (* x x)) 1/24 (* x x) 1/2 (/ (sinh y) y) (sinh y) (/ (* (sinh y) (cos x)) y) (* (sinh y) (cos x)) (cos x) (+ (* (* x x) -1/2) 1) -1/2 (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (/ (exp y) 2) (exp y) 2 (/ (exp (neg y)) 2) (exp (neg y)) (neg y))
5.0ms
y
@0
((* (sinh y) (/ (cos x) y)) (sinh y) y (/ (cos x) y) (cos x) x (* (cos x) (/ (sinh y) y)) (cos x) 1 (/ (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) (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (- (* 1/24 (* x x)) 1/2) (* 1/24 (* x x)) 1/24 (* x x) 1/2 (/ (sinh y) y) (sinh y) (/ (* (sinh y) (cos x)) y) (* (sinh y) (cos x)) (cos x) (+ (* (* x x) -1/2) 1) -1/2 (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (/ (exp y) 2) (exp y) 2 (/ (exp (neg y)) 2) (exp (neg y)) (neg y))
4.0ms
y
@inf
((* (sinh y) (/ (cos x) y)) (sinh y) y (/ (cos x) y) (cos x) x (* (cos x) (/ (sinh y) y)) (cos x) 1 (/ (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) (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (- (* 1/24 (* x x)) 1/2) (* 1/24 (* x x)) 1/24 (* x x) 1/2 (/ (sinh y) y) (sinh y) (/ (* (sinh y) (cos x)) y) (* (sinh y) (cos x)) (cos x) (+ (* (* x x) -1/2) 1) -1/2 (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (/ (exp y) 2) (exp y) 2 (/ (exp (neg y)) 2) (exp (neg y)) (neg y))
4.0ms
x
@inf
((* (sinh y) (/ (cos x) y)) (sinh y) y (/ (cos x) y) (cos x) x (* (cos x) (/ (sinh y) y)) (cos x) 1 (/ (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) (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (- (* 1/24 (* x x)) 1/2) (* 1/24 (* x x)) 1/24 (* x x) 1/2 (/ (sinh y) y) (sinh y) (/ (* (sinh y) (cos x)) y) (* (sinh y) (cos x)) (cos x) (+ (* (* x x) -1/2) 1) -1/2 (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (/ (exp y) 2) (exp y) 2 (/ (exp (neg y)) 2) (exp (neg y)) (neg y))

rewrite278.0ms (8.9%)

Memory
-31.9MiB live, 222.5MiB allocated; 58ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03551885
04001708
120121614
090551550
Stop Event
iter-limit
node-limit
iter-limit
Counts
118 → 328
Calls
Call 1
Inputs
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(sinh.f64 y)
y
(/.f64 (cos.f64 x) y)
(cos.f64 x)
x
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
#s(approx (cos x) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y)
#s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(*.f64 y y)
#s(literal 1/6 binary64)
(*.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y))
#s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
#s(literal 1/24 binary64)
(*.f64 x x)
#s(literal 1/2 binary64)
(/.f64 #s(approx (sinh y) y) y)
#s(approx (sinh 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 (sinh.f64 y) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 (*.f64 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))
#s(literal -1/2 binary64)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))) y))
(/.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))) y)
(-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64)))
(/.f64 (exp.f64 y) #s(literal 2 binary64))
(exp.f64 y)
#s(literal 2 binary64)
(/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))
(exp.f64 (neg.f64 y))
(neg.f64 y)
#s(approx (* (sinh y) (/ (cos x) y)) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
#s(approx (* (sinh y) (/ (cos x) y)) #s(hole binary64 (+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))))
#s(approx (* (sinh y) (/ (cos x) y)) #s(hole binary64 (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))))
#s(approx (* (sinh y) (/ (cos x) y)) #s(hole binary64 (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))))
#s(approx (/ (cos x) y) #s(hole binary64 (/ 1 y)))
#s(approx (/ (cos x) y) #s(hole binary64 (+ (* -1/2 (/ (pow x 2) y)) (/ 1 y))))
#s(approx (/ (cos x) y) #s(hole binary64 (+ (* (pow x 2) (- (* 1/24 (/ (pow x 2) y)) (* 1/2 (/ 1 y)))) (/ 1 y))))
#s(approx (/ (cos x) y) #s(hole binary64 (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/720 (/ (pow x 2) y)) (* 1/24 (/ 1 y)))) (* 1/2 (/ 1 y)))) (/ 1 y))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (- (* 1/24 (* x x)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* 1/24 (* x x)) 1/2) #s(hole binary64 (- (* 1/24 (pow x 2)) 1/2)))
#s(approx (* 1/24 (* x x)) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (sinh y) (cos x)) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
#s(approx (* (sinh y) (cos x)) #s(hole binary64 (+ (* -1/4 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))))
#s(approx (* (sinh y) (cos x)) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/4 (- (exp y) (/ 1 (exp y)))) (* 1/48 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))))
#s(approx (* (sinh y) (cos x)) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/4 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/1440 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/48 (- (exp y) (/ 1 (exp y)))))))))))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y)))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (- (+ (* -1/2 (/ (* (pow x 2) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y)) (* 1/2 (/ (exp y) y))) (* 1/2 (/ (exp (neg y)) y)))))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (- (+ (* 1/2 (/ (exp y) y)) (* (pow x 2) (+ (* -1/2 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y)) (* 1/24 (/ (* (pow x 2) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y))))) (* 1/2 (/ (exp (neg y)) y)))))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (- (+ (* 1/2 (/ (exp y) y)) (* (pow x 2) (+ (* -1/2 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y)) (* (pow x 2) (+ (* -1/720 (/ (* (pow x 2) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y)) (* 1/24 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y))))))) (* 1/2 (/ (exp (neg y)) y)))))
#s(approx (* (sinh y) (/ (cos x) y)) #s(hole binary64 (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))))
#s(approx (/ (cos x) y) #s(hole binary64 (/ (cos x) y)))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* 1/24 (pow x 4))))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (* 1/24 (* x x)) 1/2) #s(hole binary64 (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (* (sinh y) (cos x)) #s(hole binary64 (* 1/2 (* (cos x) (- (exp y) (/ 1 (exp y)))))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (/ (* (cos x) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y)))
#s(approx (* (sinh y) (/ (cos x) y)) #s(hole binary64 (+ (cos x) (* 1/6 (* (pow y 2) (cos x))))))
#s(approx (* (sinh y) (/ (cos x) y)) #s(hole binary64 (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))))
#s(approx (* (sinh y) (/ (cos x) y)) #s(hole binary64 (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))))
#s(approx (sinh y) #s(hole binary64 y))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2))))))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (* (sinh y) (cos x)) #s(hole binary64 (* y (cos x))))
#s(approx (* (sinh y) (cos x)) #s(hole binary64 (* y (+ (cos x) (* 1/6 (* (pow y 2) (cos x)))))))
#s(approx (* (sinh y) (cos x)) #s(hole binary64 (* y (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))))))
#s(approx (* (sinh y) (cos x)) #s(hole binary64 (* y (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x))))))))))
#s(approx (/ (exp y) 2) #s(hole binary64 1/2))
#s(approx (/ (exp y) 2) #s(hole binary64 (+ 1/2 (* 1/2 y))))
#s(approx (/ (exp y) 2) #s(hole binary64 (+ 1/2 (* y (+ 1/2 (* 1/4 y))))))
#s(approx (/ (exp y) 2) #s(hole binary64 (+ 1/2 (* y (+ 1/2 (* y (+ 1/4 (* 1/12 y))))))))
#s(approx (exp y) #s(hole binary64 (+ 1 y)))
#s(approx (exp y) #s(hole binary64 (+ 1 (* y (+ 1 (* 1/2 y))))))
#s(approx (exp y) #s(hole binary64 (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))))
#s(approx (/ (exp (neg y)) 2) #s(hole binary64 (+ 1/2 (* -1/2 y))))
#s(approx (/ (exp (neg y)) 2) #s(hole binary64 (+ 1/2 (* y (- (* 1/4 y) 1/2)))))
#s(approx (/ (exp (neg y)) 2) #s(hole binary64 (+ 1/2 (* y (- (* y (+ 1/4 (* -1/12 y))) 1/2)))))
#s(approx (exp (neg y)) #s(hole binary64 (+ 1 (* -1 y))))
#s(approx (exp (neg y)) #s(hole binary64 (+ 1 (* y (- (* 1/2 y) 1)))))
#s(approx (exp (neg y)) #s(hole binary64 (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))))
#s(approx (neg y) #s(hole binary64 (* -1 y)))
#s(approx (* (+ (* (* y y) 1/6) 1) y) #s(hole binary64 (* 1/6 (pow y 3))))
#s(approx (* (+ (* (* y y) 1/6) 1) y) #s(hole binary64 (* (pow y 3) (+ 1/6 (/ 1 (pow y 2))))))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (* 1/6 (pow y 2))))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))))
#s(approx (/ (exp y) 2) #s(hole binary64 (* 1/2 (exp y))))
#s(approx (exp y) #s(hole binary64 (exp y)))
#s(approx (/ (exp (neg y)) 2) #s(hole binary64 (* 1/2 (exp (neg y)))))
#s(approx (exp (neg y)) #s(hole binary64 (exp (neg y))))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (/ (* (cos x) (- (* 1/2 (exp y)) (* 1/2 (exp (* -1 y))))) y)))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (* -1 y)))) y)))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (- (* 1/2 (exp y)) (* 1/2 (exp (* -1 y))))))
#s(approx (/ (exp (neg y)) 2) #s(hole binary64 (* 1/2 (exp (* -1 y)))))
#s(approx (exp (neg y)) #s(hole binary64 (exp (* -1 y))))
Outputs
(*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (*.f64 (neg.f64 (cos.f64 x)) (-.f64 (/.f64 (exp.f64 (+.f64 y y)) #s(literal 4 binary64)) (/.f64 (exp.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64))) #s(literal 4 binary64)))) (*.f64 (neg.f64 y) (cosh.f64 y)))
(/.f64 (*.f64 (neg.f64 (cos.f64 x)) (-.f64 (/.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 8 binary64)) (/.f64 (exp.f64 (*.f64 (neg.f64 y) #s(literal 3 binary64))) #s(literal 8 binary64)))) (*.f64 (neg.f64 y) (+.f64 (/.f64 (exp.f64 (+.f64 y y)) #s(literal 4 binary64)) (+.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64))) #s(literal 4 binary64)) (/.f64 (exp.f64 (+.f64 y (neg.f64 y))) #s(literal 4 binary64))))))
(/.f64 (*.f64 (neg.f64 (cos.f64 x)) (-.f64 (*.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 y))))) (*.f64 (neg.f64 y) #s(literal 4 binary64)))
(/.f64 (*.f64 (neg.f64 (cos.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (*.f64 (neg.f64 y) #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 x) (-.f64 (/.f64 (exp.f64 (+.f64 y y)) #s(literal 4 binary64)) (/.f64 (exp.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64))) #s(literal 4 binary64)))) (*.f64 y (cosh.f64 y)))
(/.f64 (*.f64 (cos.f64 x) (-.f64 (/.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 8 binary64)) (/.f64 (exp.f64 (*.f64 (neg.f64 y) #s(literal 3 binary64))) #s(literal 8 binary64)))) (*.f64 y (+.f64 (/.f64 (exp.f64 (+.f64 y y)) #s(literal 4 binary64)) (+.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64))) #s(literal 4 binary64)) (/.f64 (exp.f64 (+.f64 y (neg.f64 y))) #s(literal 4 binary64))))))
(/.f64 (*.f64 (cos.f64 x) (-.f64 (*.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 y))))) (*.f64 y #s(literal 4 binary64)))
(/.f64 (*.f64 (-.f64 (/.f64 (exp.f64 (+.f64 y y)) #s(literal 4 binary64)) (/.f64 (exp.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64))) #s(literal 4 binary64))) (neg.f64 (cos.f64 x))) (*.f64 (cosh.f64 y) (neg.f64 y)))
(/.f64 (*.f64 (-.f64 (/.f64 (exp.f64 (+.f64 y y)) #s(literal 4 binary64)) (/.f64 (exp.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64))) #s(literal 4 binary64))) (cos.f64 x)) (*.f64 (cosh.f64 y) y))
(/.f64 (*.f64 (-.f64 (/.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 8 binary64)) (/.f64 (exp.f64 (*.f64 (neg.f64 y) #s(literal 3 binary64))) #s(literal 8 binary64))) (neg.f64 (cos.f64 x))) (*.f64 (+.f64 (/.f64 (exp.f64 (+.f64 y y)) #s(literal 4 binary64)) (+.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64))) #s(literal 4 binary64)) (/.f64 (exp.f64 (+.f64 y (neg.f64 y))) #s(literal 4 binary64)))) (neg.f64 y)))
(/.f64 (*.f64 (-.f64 (/.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 8 binary64)) (/.f64 (exp.f64 (*.f64 (neg.f64 y) #s(literal 3 binary64))) #s(literal 8 binary64))) (cos.f64 x)) (*.f64 (+.f64 (/.f64 (exp.f64 (+.f64 y y)) #s(literal 4 binary64)) (+.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64))) #s(literal 4 binary64)) (/.f64 (exp.f64 (+.f64 y (neg.f64 y))) #s(literal 4 binary64)))) y))
(/.f64 (*.f64 (-.f64 (*.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 y)))) (neg.f64 (cos.f64 x))) (*.f64 #s(literal 4 binary64) (neg.f64 y)))
(/.f64 (*.f64 (-.f64 (*.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 y)))) (cos.f64 x)) (*.f64 #s(literal 4 binary64) y))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (neg.f64 (cos.f64 x))) (*.f64 #s(literal 2 binary64) (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 (sinh.f64 y) (cos.f64 x))) (neg.f64 y))
(/.f64 (*.f64 (cos.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (*.f64 #s(literal 2 binary64) y))
(/.f64 (*.f64 (cos.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (*.f64 y #s(literal 2 binary64)))
(/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) y)
(/.f64 (-.f64 (neg.f64 (exp.f64 y)) (neg.f64 (exp.f64 (neg.f64 y)))) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 y)) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 (exp.f64 (neg.f64 y))))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 y)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 y)))) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (exp.f64 y) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (exp.f64 (neg.f64 y))))) #s(literal -4 binary64))
(/.f64 (neg.f64 (-.f64 (/.f64 (exp.f64 (+.f64 y y)) #s(literal 4 binary64)) (/.f64 (exp.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64))) #s(literal 4 binary64)))) (neg.f64 (cosh.f64 y)))
(/.f64 (neg.f64 (-.f64 (/.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 8 binary64)) (/.f64 (exp.f64 (*.f64 (neg.f64 y) #s(literal 3 binary64))) #s(literal 8 binary64)))) (neg.f64 (+.f64 (/.f64 (exp.f64 (+.f64 y y)) #s(literal 4 binary64)) (+.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64))) #s(literal 4 binary64)) (/.f64 (exp.f64 (+.f64 y (neg.f64 y))) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 y))))) #s(literal -4 binary64))
(/.f64 (-.f64 (/.f64 (exp.f64 (+.f64 y y)) #s(literal 4 binary64)) (/.f64 (exp.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64))) #s(literal 4 binary64))) (cosh.f64 y))
(/.f64 (-.f64 (/.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 8 binary64)) (/.f64 (exp.f64 (*.f64 (neg.f64 y) #s(literal 3 binary64))) #s(literal 8 binary64))) (+.f64 (/.f64 (exp.f64 (+.f64 y y)) #s(literal 4 binary64)) (+.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64))) #s(literal 4 binary64)) (/.f64 (exp.f64 (+.f64 y (neg.f64 y))) #s(literal 4 binary64)))))
(/.f64 (-.f64 (*.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 y)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 2 binary64))
(sinh.f64 y)
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 y y)) #s(literal 4 binary64)) (cosh.f64 y)) (/.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64))) #s(literal 4 binary64)) (cosh.f64 y)))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 8 binary64)) (+.f64 (/.f64 (exp.f64 (+.f64 y y)) #s(literal 4 binary64)) (+.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64))) #s(literal 4 binary64)) (/.f64 (exp.f64 (+.f64 y (neg.f64 y))) #s(literal 4 binary64))))) (/.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 y) #s(literal 3 binary64))) #s(literal 8 binary64)) (+.f64 (/.f64 (exp.f64 (+.f64 y y)) #s(literal 4 binary64)) (+.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64))) #s(literal 4 binary64)) (/.f64 (exp.f64 (+.f64 y (neg.f64 y))) #s(literal 4 binary64))))))
(-.f64 (/.f64 (*.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 y))) #s(literal 4 binary64)))
(-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64)))
y
(/.f64 (neg.f64 (neg.f64 (cos.f64 x))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (cos.f64 x)) (neg.f64 y))
(/.f64 (cos.f64 x) y)
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (*.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
x
(*.f64 (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y) #s(approx (cos x) #s(literal 1 binary64)))
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#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) y) (*.f64 x x) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64))))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 #s(literal 1/48 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) y) (*.f64 x x) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal -1/4 binary64))) (*.f64 x x))))
#s(approx (/ (cos x) y) (/.f64 #s(literal 1 binary64) y))
#s(approx (/ (cos x) y) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) y))
#s(approx (/ (cos x) y) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y) (*.f64 x x) (/.f64 #s(literal 1 binary64) y)))
#s(approx (/ (cos x) y) (fma.f64 (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) y) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) (/.f64 #s(literal 1 binary64) y)))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx x x)
#s(approx (- (* 1/24 (* x x)) 1/2) #s(literal -1/2 binary64))
#s(approx (- (* 1/24 (* x x)) 1/2) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
#s(approx (* 1/24 (* x x)) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (* (sinh y) (cos x)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))
#s(approx (* (sinh y) (cos x)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))))
#s(approx (* (sinh y) (cos x)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))))
#s(approx (* (sinh y) (cos x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 #s(literal 1/48 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) (*.f64 x x) (*.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64)))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))) y))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (-.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))) y) (*.f64 x x) (*.f64 (/.f64 (exp.f64 y) y) #s(literal 1/2 binary64))) (*.f64 (/.f64 (exp.f64 (neg.f64 y)) y) #s(literal 1/2 binary64))))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (-.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))) y) (*.f64 x x) (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) (*.f64 x x) (*.f64 (/.f64 (exp.f64 y) y) #s(literal 1/2 binary64))) (*.f64 (/.f64 (exp.f64 (neg.f64 y)) y) #s(literal 1/2 binary64))))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (*.f64 (*.f64 (cos.f64 x) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (cos x) y) (/.f64 (cos.f64 x) y))
#s(approx (cos x) (cos.f64 x))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/24 binary64)))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (+.f64 #s(literal 1/24 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (- (* 1/24 (* x x)) 1/2) (*.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 x x)))
#s(approx (* (sinh y) (cos x)) (*.f64 (*.f64 (cos.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal 1/2 binary64)))
#s(approx (+ (* (* x x) -1/2) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
#s(approx (+ (* (* x x) -1/2) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (*.f64 (cos.f64 x) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64))))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (cos.f64 x) (cos.f64 x)))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (cos.f64 x))) (*.f64 y y) (cos.f64 x)))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 y y)) (cos.f64 x) (*.f64 #s(literal 1/120 binary64) (cos.f64 x))) (*.f64 y y) (*.f64 #s(literal 1/6 binary64) (cos.f64 x))) (*.f64 y y) (cos.f64 x)))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (* y y) (*.f64 y y))
#s(approx (* (sinh y) (cos x)) (*.f64 (cos.f64 x) y))
#s(approx (* (sinh y) (cos x)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (cos.f64 x) (cos.f64 x)) y))
#s(approx (* (sinh y) (cos x)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (cos.f64 x))) (*.f64 y y) (cos.f64 x)) y))
#s(approx (* (sinh y) (cos x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 y y)) (cos.f64 x) (*.f64 #s(literal 1/120 binary64) (cos.f64 x))) (*.f64 y y) (*.f64 #s(literal 1/6 binary64) (cos.f64 x))) (*.f64 y y) (cos.f64 x)) y))
#s(approx (/ (exp y) 2) #s(literal 1/2 binary64))
#s(approx (/ (exp y) 2) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1/2 binary64)))
#s(approx (/ (exp y) 2) (fma.f64 (fma.f64 #s(literal 1/4 binary64) y #s(literal 1/2 binary64)) y #s(literal 1/2 binary64)))
#s(approx (/ (exp y) 2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) y #s(literal 1/4 binary64)) y #s(literal 1/2 binary64)) y #s(literal 1/2 binary64)))
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
#s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))
#s(approx (/ (exp (neg y)) 2) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/2 binary64)))
#s(approx (/ (exp (neg y)) 2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) y #s(literal 1/4 binary64)) y) #s(literal 1/2 binary64)) y #s(literal 1/2 binary64)))
#s(approx (exp (neg y)) (+.f64 (neg.f64 y) #s(literal 1 binary64)))
#s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (neg y) (neg.f64 y))
#s(approx (* (+ (* (* y y) 1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))
#s(approx (* (+ (* (* y y) 1/6) 1) y) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64) y))
#s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))
#s(approx (+ (* (* y y) 1/6) 1) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))
#s(approx (/ (exp y) 2) (*.f64 (exp.f64 y) #s(literal 1/2 binary64)))
#s(approx (exp y) (exp.f64 y))
#s(approx (/ (exp (neg y)) 2) (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)))
#s(approx (exp (neg y)) (exp.f64 (neg.f64 y)))
#s(approx (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (*.f64 (cos.f64 x) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64))))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64)))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))
#s(approx (/ (exp (neg y)) 2) (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)))
#s(approx (exp (neg y)) (exp.f64 (neg.f64 y)))

eval48.0ms (1.6%)

Memory
17.5MiB live, 62.9MiB allocated; 5ms collecting garbage
Compiler

Compiled 3 905 to 1 533 computations (60.7% saved)

prune35.0ms (1.1%)

Memory
-20.2MiB live, 26.8MiB allocated; 2ms collecting garbage
Pruning

18 alts after pruning (15 fresh and 3 done)

PrunedKeptTotal
New30010310
Fresh257
Picked415
Done022
Total30618324
Accuracy
100.0%
Counts
324 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
13.4%
(/.f64 (*.f64 (sinh.f64 y) #s(approx (cos x) #s(approx (+ (* (* x x) -1/2) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) y)
67.8%
(/.f64 (*.f64 (sinh.f64 y) #s(approx (cos x) #s(literal 1 binary64))) y)
99.9%
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
67.7%
(*.f64 (sinh.f64 y) #s(approx (/ (cos x) y) (/.f64 #s(literal 1 binary64) y)))
48.1%
(*.f64 (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
47.6%
(*.f64 (cos.f64 x) (/.f64 #s(approx (sinh y) y) y))
73.3%
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
49.9%
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y))))
29.0%
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
89.8%
(*.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) (/.f64 (cos.f64 x) y))
33.2%
(*.f64 #s(approx (cos x) (fma.f64 #s(approx (- (* 1/24 (* x x)) 1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y))
12.1%
(*.f64 #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/24 binary64)))) (/.f64 #s(approx (sinh y) y) y))
53.1%
(*.f64 #s(approx (cos x) #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))) (/.f64 (sinh.f64 y) y))
42.3%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) y))
3.0%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(approx (/ (exp y) 2) #s(literal 1/2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))) y))
30.3%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) y))
30.3%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) #s(approx (* (+ (* (* y y) 1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))) y))
49.8%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
Compiler

Compiled 530 to 522 computations (1.5% saved)

series18.0ms (0.6%)

Memory
24.5MiB live, 24.5MiB allocated; 0ms collecting garbage
Counts
37 → 69
Calls
Call 1
Inputs
(*.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) (/.f64 (cos.f64 x) y))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(/.f64 (cos.f64 x) y)
(cos.f64 x)
x
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) y))
(/.f64 #s(approx (sinh y) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) y)
#s(approx (sinh y) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y))
(*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)
#s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))
(*.f64 (*.f64 y y) #s(literal 1/6 binary64))
(*.f64 (sinh.f64 y) #s(approx (/ (cos x) y) (/.f64 #s(literal 1 binary64) y)))
(sinh.f64 y)
#s(approx (/ (cos x) y) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) y))
(/.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) y)
(-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))))
(/.f64 (exp.f64 y) #s(literal 2 binary64))
(exp.f64 y)
#s(literal 2 binary64)
#s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
Outputs
#s(approx (* (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (/ (cos x) y)) #s(hole binary64 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y)))
#s(approx (* (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (/ (cos x) y)) #s(hole binary64 (- (+ (* -1/2 (/ (* (pow x 2) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y)) (* 1/2 (/ (exp y) y))) (* 1/2 (/ (exp (neg y)) y)))))
#s(approx (* (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (/ (cos x) y)) #s(hole binary64 (- (+ (* 1/2 (/ (exp y) y)) (* (pow x 2) (+ (* -1/2 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y)) (* 1/24 (/ (* (pow x 2) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y))))) (* 1/2 (/ (exp (neg y)) y)))))
#s(approx (* (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (/ (cos x) y)) #s(hole binary64 (- (+ (* 1/2 (/ (exp y) y)) (* (pow x 2) (+ (* -1/2 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y)) (* (pow x 2) (+ (* -1/720 (/ (* (pow x 2) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y)) (* 1/24 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y))))))) (* 1/2 (/ (exp (neg y)) y)))))
#s(approx (/ (cos x) y) #s(hole binary64 (/ 1 y)))
#s(approx (/ (cos x) y) #s(hole binary64 (+ (* -1/2 (/ (pow x 2) y)) (/ 1 y))))
#s(approx (/ (cos x) y) #s(hole binary64 (+ (* (pow x 2) (- (* 1/24 (/ (pow x 2) y)) (* 1/2 (/ 1 y)))) (/ 1 y))))
#s(approx (/ (cos x) y) #s(hole binary64 (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/720 (/ (pow x 2) y)) (* 1/24 (/ 1 y)))) (* 1/2 (/ 1 y)))) (/ 1 y))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (* (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 (* (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (/ (cos x) y)) #s(hole binary64 (/ (* (cos x) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y)))
#s(approx (/ (cos x) y) #s(hole binary64 (/ (cos x) y)))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))))
#s(approx (* (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (/ (cos x) y)) #s(hole binary64 (+ (cos x) (* 1/6 (* (pow y 2) (cos x))))))
#s(approx (* (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (/ (cos x) y)) #s(hole binary64 (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))))
#s(approx (* (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (/ (cos x) y)) #s(hole binary64 (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 y))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2))))))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))))
#s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
#s(approx (+ (* 1/120 (* y y)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* 1/120 (* y y)) 1/6) #s(hole binary64 (+ 1/6 (* 1/120 (pow y 2)))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))
#s(approx (* (* y y) 1/6) #s(hole binary64 (* 1/6 (pow y 2))))
#s(approx (/ (exp y) 2) #s(hole binary64 1/2))
#s(approx (/ (exp y) 2) #s(hole binary64 (+ 1/2 (* 1/2 y))))
#s(approx (/ (exp y) 2) #s(hole binary64 (+ 1/2 (* y (+ 1/2 (* 1/4 y))))))
#s(approx (/ (exp y) 2) #s(hole binary64 (+ 1/2 (* y (+ 1/2 (* y (+ 1/4 (* 1/12 y))))))))
#s(approx (exp y) #s(hole binary64 (+ 1 y)))
#s(approx (exp y) #s(hole binary64 (+ 1 (* y (+ 1 (* 1/2 y))))))
#s(approx (exp y) #s(hole binary64 (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))))
#s(approx (/ (exp (neg y)) 2) #s(hole binary64 (+ 1/2 (* -1/2 y))))
#s(approx (/ (exp (neg y)) 2) #s(hole binary64 (+ 1/2 (* y (- (* 1/4 y) 1/2)))))
#s(approx (/ (exp (neg y)) 2) #s(hole binary64 (+ 1/2 (* y (- (* y (+ 1/4 (* -1/12 y))) 1/2)))))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))))
#s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) #s(hole binary64 (* 1/120 (pow y 5))))
#s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) #s(hole binary64 (* (pow y 5) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))))
#s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) #s(hole binary64 (* (pow y 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))))
#s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* 1/120 (pow y 4))))
#s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))))
#s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))))
#s(approx (+ (* 1/120 (* y y)) 1/6) #s(hole binary64 (* 1/120 (pow y 2))))
#s(approx (+ (* 1/120 (* y y)) 1/6) #s(hole binary64 (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))))
#s(approx (sinh y) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
#s(approx (* (+ (* (* y y) 1/6) 1) y) #s(hole binary64 (* 1/6 (pow y 3))))
#s(approx (* (+ (* (* y y) 1/6) 1) y) #s(hole binary64 (* (pow y 3) (+ 1/6 (/ 1 (pow y 2))))))
#s(approx (/ (exp y) 2) #s(hole binary64 (* 1/2 (exp y))))
#s(approx (exp y) #s(hole binary64 (exp y)))
#s(approx (/ (exp (neg y)) 2) #s(hole binary64 (* 1/2 (exp (neg y)))))
#s(approx (+ (* -1/2 y) 1/2) #s(hole binary64 (* -1/2 y)))
#s(approx (+ (* -1/2 y) 1/2) #s(hole binary64 (* y (- (* 1/2 (/ 1 y)) 1/2))))
#s(approx (* (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (/ (cos x) y)) #s(hole binary64 (/ (* (cos x) (- (* 1/2 (exp y)) (* 1/2 (exp (* -1 y))))) y)))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (- (* 1/2 (exp y)) (* 1/2 (exp (* -1 y))))))
#s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) #s(hole binary64 (* -1 (* (pow y 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow y 2))) (pow y 2))) 1/120)))))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (* -1 y)))) y)))
#s(approx (/ (exp (neg y)) 2) #s(hole binary64 (* 1/2 (exp (* -1 y)))))
#s(approx (+ (* -1/2 y) 1/2) #s(hole binary64 (* -1 (* y (- 1/2 (* 1/2 (/ 1 y)))))))
Calls

6 calls:

TimeVariablePointExpression
5.0ms
y
@-inf
((* (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (/ (cos x) y)) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (+ (* 1/120 (* y y)) 1/6) 1/120 (* y y) y 1/6 1 (/ (cos x) y) (cos x) x (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (+ (* (* y y) 1/6) 1) (* (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) (* (sinh y) (/ (cos x) y)) (sinh y) (/ (cos x) y) (/ 1 y) (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (/ (exp y) 2) (exp y) 2 (/ (exp (neg y)) 2) (+ (* -1/2 y) 1/2) -1/2 1/2)
4.0ms
y
@inf
((* (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (/ (cos x) y)) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (+ (* 1/120 (* y y)) 1/6) 1/120 (* y y) y 1/6 1 (/ (cos x) y) (cos x) x (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (+ (* (* y y) 1/6) 1) (* (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) (* (sinh y) (/ (cos x) y)) (sinh y) (/ (cos x) y) (/ 1 y) (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (/ (exp y) 2) (exp y) 2 (/ (exp (neg y)) 2) (+ (* -1/2 y) 1/2) -1/2 1/2)
2.0ms
y
@0
((* (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (/ (cos x) y)) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (+ (* 1/120 (* y y)) 1/6) 1/120 (* y y) y 1/6 1 (/ (cos x) y) (cos x) x (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (+ (* (* y y) 1/6) 1) (* (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) (* (sinh y) (/ (cos x) y)) (sinh y) (/ (cos x) y) (/ 1 y) (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (/ (exp y) 2) (exp y) 2 (/ (exp (neg y)) 2) (+ (* -1/2 y) 1/2) -1/2 1/2)
2.0ms
x
@inf
((* (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (/ (cos x) y)) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (+ (* 1/120 (* y y)) 1/6) 1/120 (* y y) y 1/6 1 (/ (cos x) y) (cos x) x (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (+ (* (* y y) 1/6) 1) (* (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) (* (sinh y) (/ (cos x) y)) (sinh y) (/ (cos x) y) (/ 1 y) (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (/ (exp y) 2) (exp y) 2 (/ (exp (neg y)) 2) (+ (* -1/2 y) 1/2) -1/2 1/2)
2.0ms
x
@-inf
((* (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (/ (cos x) y)) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (+ (* 1/120 (* y y)) 1/6) 1/120 (* y y) y 1/6 1 (/ (cos x) y) (cos x) x (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (+ (* (* y y) 1/6) 1) (* (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) (* (sinh y) (/ (cos x) y)) (sinh y) (/ (cos x) y) (/ 1 y) (* (cos x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (/ (exp y) 2) (exp y) 2 (/ (exp (neg y)) 2) (+ (* -1/2 y) 1/2) -1/2 1/2)

rewrite199.0ms (6.4%)

Memory
-24.2MiB live, 164.9MiB allocated; 13ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03241854
03581601
118141528
082291475
Stop Event
iter-limit
node-limit
iter-limit
Counts
106 → 260
Calls
Call 1
Inputs
(*.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) (/.f64 (cos.f64 x) y))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(/.f64 (cos.f64 x) y)
(cos.f64 x)
x
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) y))
(/.f64 #s(approx (sinh y) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) y)
#s(approx (sinh y) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y))
(*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)
#s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))
(*.f64 (*.f64 y y) #s(literal 1/6 binary64))
(*.f64 (sinh.f64 y) #s(approx (/ (cos x) y) (/.f64 #s(literal 1 binary64) y)))
(sinh.f64 y)
#s(approx (/ (cos x) y) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) y))
(/.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) y)
(-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))))
(/.f64 (exp.f64 y) #s(literal 2 binary64))
(exp.f64 y)
#s(literal 2 binary64)
#s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
#s(approx (* (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (/ (cos x) y)) #s(hole binary64 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y)))
#s(approx (* (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (/ (cos x) y)) #s(hole binary64 (- (+ (* -1/2 (/ (* (pow x 2) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y)) (* 1/2 (/ (exp y) y))) (* 1/2 (/ (exp (neg y)) y)))))
#s(approx (* (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (/ (cos x) y)) #s(hole binary64 (- (+ (* 1/2 (/ (exp y) y)) (* (pow x 2) (+ (* -1/2 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y)) (* 1/24 (/ (* (pow x 2) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y))))) (* 1/2 (/ (exp (neg y)) y)))))
#s(approx (* (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (/ (cos x) y)) #s(hole binary64 (- (+ (* 1/2 (/ (exp y) y)) (* (pow x 2) (+ (* -1/2 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y)) (* (pow x 2) (+ (* -1/720 (/ (* (pow x 2) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y)) (* 1/24 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y))))))) (* 1/2 (/ (exp (neg y)) y)))))
#s(approx (/ (cos x) y) #s(hole binary64 (/ 1 y)))
#s(approx (/ (cos x) y) #s(hole binary64 (+ (* -1/2 (/ (pow x 2) y)) (/ 1 y))))
#s(approx (/ (cos x) y) #s(hole binary64 (+ (* (pow x 2) (- (* 1/24 (/ (pow x 2) y)) (* 1/2 (/ 1 y)))) (/ 1 y))))
#s(approx (/ (cos x) y) #s(hole binary64 (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/720 (/ (pow x 2) y)) (* 1/24 (/ 1 y)))) (* 1/2 (/ 1 y)))) (/ 1 y))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (* (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 (* (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (/ (cos x) y)) #s(hole binary64 (/ (* (cos x) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y)))
#s(approx (/ (cos x) y) #s(hole binary64 (/ (cos x) y)))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))))
#s(approx (* (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (/ (cos x) y)) #s(hole binary64 (+ (cos x) (* 1/6 (* (pow y 2) (cos x))))))
#s(approx (* (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (/ (cos x) y)) #s(hole binary64 (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))))
#s(approx (* (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (/ (cos x) y)) #s(hole binary64 (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 y))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2))))))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))))
#s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
#s(approx (+ (* 1/120 (* y y)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* 1/120 (* y y)) 1/6) #s(hole binary64 (+ 1/6 (* 1/120 (pow y 2)))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))
#s(approx (* (* y y) 1/6) #s(hole binary64 (* 1/6 (pow y 2))))
#s(approx (/ (exp y) 2) #s(hole binary64 1/2))
#s(approx (/ (exp y) 2) #s(hole binary64 (+ 1/2 (* 1/2 y))))
#s(approx (/ (exp y) 2) #s(hole binary64 (+ 1/2 (* y (+ 1/2 (* 1/4 y))))))
#s(approx (/ (exp y) 2) #s(hole binary64 (+ 1/2 (* y (+ 1/2 (* y (+ 1/4 (* 1/12 y))))))))
#s(approx (exp y) #s(hole binary64 (+ 1 y)))
#s(approx (exp y) #s(hole binary64 (+ 1 (* y (+ 1 (* 1/2 y))))))
#s(approx (exp y) #s(hole binary64 (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))))
#s(approx (/ (exp (neg y)) 2) #s(hole binary64 (+ 1/2 (* -1/2 y))))
#s(approx (/ (exp (neg y)) 2) #s(hole binary64 (+ 1/2 (* y (- (* 1/4 y) 1/2)))))
#s(approx (/ (exp (neg y)) 2) #s(hole binary64 (+ 1/2 (* y (- (* y (+ 1/4 (* -1/12 y))) 1/2)))))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))))
#s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) #s(hole binary64 (* 1/120 (pow y 5))))
#s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) #s(hole binary64 (* (pow y 5) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))))
#s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) #s(hole binary64 (* (pow y 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))))
#s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* 1/120 (pow y 4))))
#s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))))
#s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))))
#s(approx (+ (* 1/120 (* y y)) 1/6) #s(hole binary64 (* 1/120 (pow y 2))))
#s(approx (+ (* 1/120 (* y y)) 1/6) #s(hole binary64 (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))))
#s(approx (sinh y) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
#s(approx (* (+ (* (* y y) 1/6) 1) y) #s(hole binary64 (* 1/6 (pow y 3))))
#s(approx (* (+ (* (* y y) 1/6) 1) y) #s(hole binary64 (* (pow y 3) (+ 1/6 (/ 1 (pow y 2))))))
#s(approx (/ (exp y) 2) #s(hole binary64 (* 1/2 (exp y))))
#s(approx (exp y) #s(hole binary64 (exp y)))
#s(approx (/ (exp (neg y)) 2) #s(hole binary64 (* 1/2 (exp (neg y)))))
#s(approx (+ (* -1/2 y) 1/2) #s(hole binary64 (* -1/2 y)))
#s(approx (+ (* -1/2 y) 1/2) #s(hole binary64 (* y (- (* 1/2 (/ 1 y)) 1/2))))
#s(approx (* (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (/ (cos x) y)) #s(hole binary64 (/ (* (cos x) (- (* 1/2 (exp y)) (* 1/2 (exp (* -1 y))))) y)))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (- (* 1/2 (exp y)) (* 1/2 (exp (* -1 y))))))
#s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) #s(hole binary64 (* -1 (* (pow y 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow y 2))) (pow y 2))) 1/120)))))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (* -1 y)))) y)))
#s(approx (/ (exp (neg y)) 2) #s(hole binary64 (* 1/2 (exp (* -1 y)))))
#s(approx (+ (* -1/2 y) 1/2) #s(hole binary64 (* -1 (* y (- 1/2 (* 1/2 (/ 1 y)))))))
Outputs
(*.f64 (/.f64 (cos.f64 x) y) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))
(*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) (/.f64 (cos.f64 x) y))
(/.f64 (neg.f64 (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) (cos.f64 x))) (neg.f64 y))
(/.f64 (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) (cos.f64 x)) y)
#s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))
(*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)
(*.f64 y (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) #s(literal 3 binary64))) (fma.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 y #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) (*.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))) (*.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) y) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) y) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) y) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) y)) (*.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) y)))))
(fma.f64 #s(literal 1 binary64) y (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) y))
(fma.f64 y #s(literal 1 binary64) (*.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)))
(+.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)))
(+.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) y))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (*.f64 (neg.f64 (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)))))
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))) (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))))) (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))))))
(+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))
(/.f64 (-.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 y y)) #s(literal 3 binary64))) (+.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 y y)) (*.f64 #s(literal -1/120 binary64) (*.f64 y y)) (*.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 y y))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))) (neg.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) #s(literal 1/36 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 1/1728000 binary64) #s(literal 1/216 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))
(/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))
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(/.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) y)
(-.f64 (/.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) y) (/.f64 #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) y))
(/.f64 (neg.f64 (-.f64 (/.f64 (exp.f64 (+.f64 y y)) #s(literal 4 binary64)) (*.f64 #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))))) (neg.f64 (+.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 8 binary64)) (pow.f64 #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (/.f64 (exp.f64 (+.f64 y y)) #s(literal 4 binary64)) (fma.f64 #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) (*.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 (/.f64 (exp.f64 (+.f64 y y)) #s(literal 4 binary64)) (*.f64 #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))))) (+.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (/.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 8 binary64)) (pow.f64 #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 (/.f64 (exp.f64 (+.f64 y y)) #s(literal 4 binary64)) (fma.f64 #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) (*.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))))))
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 y y)) #s(literal 4 binary64)) (+.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))))) (/.f64 (*.f64 #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) (+.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))))))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 8 binary64)) (+.f64 (/.f64 (exp.f64 (+.f64 y y)) #s(literal 4 binary64)) (fma.f64 #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) (*.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))))))) (/.f64 (pow.f64 #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) #s(literal 3 binary64)) (+.f64 (/.f64 (exp.f64 (+.f64 y y)) #s(literal 4 binary64)) (fma.f64 #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) (*.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))))))))
(-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (exp.f64 y))) #s(literal 2 binary64))
(/.f64 (neg.f64 (exp.f64 y)) #s(literal -2 binary64))
(/.f64 (exp.f64 y) #s(literal 2 binary64))
(+.f64 (/.f64 (cosh.f64 y) #s(literal 2 binary64)) (/.f64 (sinh.f64 y) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 y) #s(literal 3 binary64)) (pow.f64 (sinh.f64 y) #s(literal 3 binary64))) (fma.f64 (cosh.f64 y) (cosh.f64 y) (-.f64 (*.f64 (sinh.f64 y) (sinh.f64 y)) (*.f64 (cosh.f64 y) (sinh.f64 y)))))
(exp.f64 y)
(+.f64 (cosh.f64 y) (sinh.f64 y))
#s(literal 2 binary64)
#s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 y y) y))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) y)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal -1/2 binary64) y)))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal -1/2 binary64) y)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 y y) y)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal -1/2 binary64) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) y))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 y y) y) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal -1/2 binary64) y) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal -1/2 binary64) y))) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal -1/2 binary64) y)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 1/2 binary64)))
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 y y) y))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal -1/2 binary64) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) y)))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 y y) y) #s(literal 1/8 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal -1/2 binary64) y) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1/2 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal -1/2 binary64) y)) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1/2 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal -1/2 binary64) y)) (-.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) y))
(+.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal -1/2 binary64) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) y))))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 y y) y)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal -1/2 binary64) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) y))))))
(+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal -1/2 binary64) y) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal -1/2 binary64) y) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 1/2 binary64))))))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) y))
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
#s(approx (* (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (/ (cos x) y)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64)))
#s(approx (* (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (/ (cos x) y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))) y))
#s(approx (* (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (/ (cos x) y)) (-.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))) y) (*.f64 x x) (*.f64 (/.f64 (exp.f64 y) y) #s(literal 1/2 binary64))) (*.f64 (/.f64 (exp.f64 (neg.f64 y)) y) #s(literal 1/2 binary64))))
#s(approx (* (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (/ (cos x) y)) (-.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64)) #s(literal -1/2 binary64) (*.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))))) y) (*.f64 x x))) (*.f64 x x) (*.f64 (/.f64 (exp.f64 y) y) #s(literal 1/2 binary64))) (*.f64 (/.f64 (exp.f64 (neg.f64 y)) y) #s(literal 1/2 binary64))))
#s(approx (/ (cos x) y) (/.f64 #s(literal 1 binary64) y))
#s(approx (/ (cos x) y) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) y))
#s(approx (/ (cos x) y) (fma.f64 (/.f64 (-.f64 (*.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 (/ (cos x) y) (fma.f64 (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) y) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) (/.f64 #s(literal 1 binary64) y)))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx x x)
#s(approx (* (cos x) (/ (sinh y) y)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))) y))
#s(approx (* (cos x) (/ (sinh y) y)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (*.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) y) (*.f64 x x) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64) (*.f64 (fma.f64 (/.f64 (fma.f64 #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))))
#s(approx (* (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (/ (cos x) y)) (*.f64 (cos.f64 x) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64))))
#s(approx (/ (cos x) y) (/.f64 (cos.f64 x) y))
#s(approx (cos x) (cos.f64 x))
#s(approx (* (cos x) (/ (sinh y) y)) (*.f64 (*.f64 (cos.f64 x) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y)) #s(literal 1/2 binary64)))
#s(approx (* (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (/ (cos x) y)) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (cos.f64 x) (cos.f64 x)))
#s(approx (* (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (/ (cos x) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (cos.f64 x) (*.f64 (cos.f64 x) #s(literal 1/6 binary64))) (*.f64 y y) (cos.f64 x)))
#s(approx (* (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (/ (cos x) y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 y y)) (cos.f64 x) (*.f64 (cos.f64 x) #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) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))
#s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))
#s(approx (sinh y) (*.f64 (fma.f64 (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 (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (+ (* 1/120 (* y y)) 1/6) #s(literal 1/6 binary64))
#s(approx (+ (* 1/120 (* y y)) 1/6) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
#s(approx (* y y) (*.f64 y y))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (* (* y y) 1/6) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))
#s(approx (/ (exp y) 2) #s(literal 1/2 binary64))
#s(approx (/ (exp y) 2) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1/2 binary64)))
#s(approx (/ (exp y) 2) (fma.f64 (fma.f64 #s(literal 1/4 binary64) y #s(literal 1/2 binary64)) y #s(literal 1/2 binary64)))
#s(approx (/ (exp y) 2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) y #s(literal 1/4 binary64)) y #s(literal 1/2 binary64)) y #s(literal 1/2 binary64)))
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
#s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))
#s(approx (/ (exp (neg y)) 2) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/2 binary64)))
#s(approx (/ (exp (neg y)) 2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) y #s(literal 1/4 binary64)) y) #s(literal 1/2 binary64)) y #s(literal 1/2 binary64)))
#s(approx (sinh y) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) (*.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/120 binary64)))
#s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) (*.f64 (pow.f64 y #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/120 binary64))))
#s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y)) #s(literal 1/120 binary64)) (pow.f64 y #s(literal 5 binary64))))
#s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/120 binary64)))
#s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/120 binary64))))
#s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y)) #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))))
#s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))
#s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/120 binary64)) (*.f64 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 (sinh y) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (* y y) 1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))
#s(approx (* (+ (* (* y y) 1/6) 1) y) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64) y))
#s(approx (/ (exp y) 2) (*.f64 #s(literal 1/2 binary64) (exp.f64 y)))
#s(approx (exp y) (exp.f64 y))
#s(approx (/ (exp (neg y)) 2) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 y))))
#s(approx (+ (* -1/2 y) 1/2) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ (* -1/2 y) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y))
#s(approx (* (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (/ (cos x) y)) (*.f64 (cos.f64 x) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64))))
#s(approx (sinh y) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) y) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y))) #s(literal 1/120 binary64)) (pow.f64 y #s(literal 5 binary64)))))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64)))
#s(approx (/ (exp (neg y)) 2) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 y))))
#s(approx (+ (* -1/2 y) 1/2) (*.f64 (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))))

eval46.0ms (1.5%)

Memory
11.1MiB live, 56.8MiB allocated; 4ms collecting garbage
Compiler

Compiled 3 291 to 1 375 computations (58.2% saved)

prune42.0ms (1.3%)

Memory
-7.2MiB live, 46.7MiB allocated; 7ms collecting garbage
Pruning

26 alts after pruning (21 fresh and 5 done)

PrunedKeptTotal
New23711248
Fresh01010
Picked325
Done033
Total24026266
Accuracy
100.0%
Counts
266 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
13.4%
(/.f64 (*.f64 (sinh.f64 y) #s(approx (cos x) #s(approx (+ (* (* x x) -1/2) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) y)
67.8%
(/.f64 (*.f64 (sinh.f64 y) #s(approx (cos x) #s(literal 1 binary64))) y)
99.9%
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
67.7%
(*.f64 (sinh.f64 y) #s(approx (/ (cos x) y) (/.f64 #s(literal 1 binary64) y)))
65.5%
(*.f64 (sinh.f64 y) #s(approx (/ (cos x) y) (exp.f64 (*.f64 (log.f64 y) #s(literal -1 binary64)))))
48.1%
(*.f64 (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
47.6%
(*.f64 (cos.f64 x) (/.f64 #s(approx (sinh y) y) y))
73.3%
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
49.9%
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y))))
29.0%
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
89.8%
(*.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (fma.f64 y #s(literal 1 binary64) (*.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)))) (/.f64 (cos.f64 x) y))
80.9%
(*.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) (/.f64 (cos.f64 x) y))
33.2%
(*.f64 #s(approx (cos x) (fma.f64 #s(approx (- (* 1/24 (* x x)) 1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y))
12.1%
(*.f64 #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/24 binary64)))) (/.f64 #s(approx (sinh y) y) y))
53.1%
(*.f64 #s(approx (cos x) #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))) (/.f64 (sinh.f64 y) y))
42.3%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(approx (/ (exp (neg y)) 2) #s(approx (+ (* -1/2 y) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y)))) y))
42.1%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(approx (/ (exp (neg y)) 2) #s(approx (+ (* -1/2 y) 1/2) (*.f64 #s(literal -1/2 binary64) y)))) y))
24.7%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(approx (/ (exp y) 2) (fma.f64 (fma.f64 #s(literal 1/4 binary64) y #s(literal 1/2 binary64)) y #s(literal 1/2 binary64))) #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) y))
3.9%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(approx (/ (exp y) 2) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1/2 binary64))) #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) y))
42.3%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(approx (/ (exp y) 2) (*.f64 #s(literal 1/2 binary64) (exp.f64 y))) #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) y))
3.0%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(approx (/ (exp y) 2) #s(literal 1/2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))) y))
3.4%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(approx (/ (exp y) 2) #s(literal 1/2 binary64)) #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) y))
30.3%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) #s(approx (* (+ (* (* y y) 1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))) y))
49.8%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
49.8%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) y) #s(literal 1 binary64))))
34.7%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y))))
Compiler

Compiled 775 to 661 computations (14.7% saved)

regimes88.0ms (2.8%)

Memory
19.9MiB live, 111.7MiB allocated; 11ms collecting garbage
Counts
41 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(approx (/ (exp y) 2) #s(literal 1/2 binary64)) #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(approx (- (* 1/24 (* x x)) 1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) #s(approx (* (+ (* (* y y) 1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y))))
(*.f64 #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/24 binary64)))) (/.f64 #s(approx (sinh y) y) y))
(/.f64 (*.f64 (sinh.f64 y) #s(approx (cos x) #s(literal 1 binary64))) y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) #s(approx (/ (cos x) y) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(approx (/ (exp y) 2) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1/2 binary64))) #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) y))
(*.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(approx (/ (exp y) 2) #s(literal 1/2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(approx (/ (exp y) 2) (fma.f64 (fma.f64 #s(literal 1/4 binary64) y #s(literal 1/2 binary64)) y #s(literal 1/2 binary64))) #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) y))
(/.f64 (*.f64 (sinh.f64 y) #s(approx (cos x) #s(approx (+ (* (* x x) -1/2) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) y)
(*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (/.f64 (sinh.f64 y) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(approx (/ (exp (neg y)) 2) #s(approx (+ (* -1/2 y) 1/2) (*.f64 #s(literal -1/2 binary64) y)))) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y))
(/.f64 (*.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(literal 1 binary64)) (/.f64 (-.f64 #s(approx (/ (exp y) 2) (*.f64 #s(literal 1/2 binary64) (exp.f64 y))) #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(approx (/ (exp (neg y)) 2) #s(approx (+ (* -1/2 y) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y)))) y))
(*.f64 #s(approx (cos x) #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))) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) #s(approx (/ (cos x) y) (exp.f64 (*.f64 (log.f64 y) #s(literal -1 binary64)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))) y))
(*.f64 (cos.f64 x) (/.f64 #s(approx (sinh y) y) y))
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y))))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) y)
(*.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) (/.f64 (cos.f64 x) y))
(*.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (fma.f64 y #s(literal 1 binary64) (*.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)))) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))) y))
#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 (/ (* (sinh y) (cos x)) y) (fma.f64 (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (cos.f64 x)))
Outputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Calls

5 calls:

31.0ms
x
26.0ms
(/.f64 (sinh.f64 y) y)
11.0ms
y
10.0ms
(cos.f64 x)
9.0ms
(*.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)

regimes57.0ms (1.8%)

Memory
11.9MiB live, 105.3MiB allocated; 29ms collecting garbage
Counts
33 → 3
Calls
Call 1
Inputs
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(approx (/ (exp y) 2) #s(literal 1/2 binary64)) #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(approx (- (* 1/24 (* x x)) 1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) #s(approx (* (+ (* (* y y) 1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y))))
(*.f64 #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/24 binary64)))) (/.f64 #s(approx (sinh y) y) y))
(/.f64 (*.f64 (sinh.f64 y) #s(approx (cos x) #s(literal 1 binary64))) y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) #s(approx (/ (cos x) y) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(approx (/ (exp y) 2) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1/2 binary64))) #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) y))
(*.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(approx (/ (exp y) 2) #s(literal 1/2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(approx (/ (exp y) 2) (fma.f64 (fma.f64 #s(literal 1/4 binary64) y #s(literal 1/2 binary64)) y #s(literal 1/2 binary64))) #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) y))
(/.f64 (*.f64 (sinh.f64 y) #s(approx (cos x) #s(approx (+ (* (* x x) -1/2) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) y)
(*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (/.f64 (sinh.f64 y) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(approx (/ (exp (neg y)) 2) #s(approx (+ (* -1/2 y) 1/2) (*.f64 #s(literal -1/2 binary64) y)))) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y))
(/.f64 (*.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(literal 1 binary64)) (/.f64 (-.f64 #s(approx (/ (exp y) 2) (*.f64 #s(literal 1/2 binary64) (exp.f64 y))) #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(approx (/ (exp (neg y)) 2) #s(approx (+ (* -1/2 y) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y)))) y))
(*.f64 #s(approx (cos x) #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))) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) #s(approx (/ (cos x) y) (exp.f64 (*.f64 (log.f64 y) #s(literal -1 binary64)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))) y))
(*.f64 (cos.f64 x) (/.f64 #s(approx (sinh y) y) y))
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y))))
Outputs
(/.f64 (*.f64 (sinh.f64 y) #s(approx (cos x) #s(approx (+ (* (* x x) -1/2) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) 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 (*.f64 (sinh.f64 y) #s(approx (cos x) #s(literal 1 binary64))) y)
Calls

5 calls:

20.0ms
(cos.f64 x)
13.0ms
y
9.0ms
x
7.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
6.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
86.9%2(/.f64 (sinh.f64 y) y)
89.1%2(cos.f64 x)
99.2%3(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
89.1%2x
94.7%3y
Compiler

Compiled 13 to 17 computations (-30.8% saved)

regimes11.0ms (0.4%)

Memory
-20.3MiB live, 23.7MiB allocated; 4ms collecting garbage
Counts
29 → 3
Calls
Call 1
Inputs
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(approx (/ (exp y) 2) #s(literal 1/2 binary64)) #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(approx (- (* 1/24 (* x x)) 1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) #s(approx (* (+ (* (* y y) 1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y))))
(*.f64 #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/24 binary64)))) (/.f64 #s(approx (sinh y) y) y))
(/.f64 (*.f64 (sinh.f64 y) #s(approx (cos x) #s(literal 1 binary64))) y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) #s(approx (/ (cos x) y) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(approx (/ (exp y) 2) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1/2 binary64))) #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) y))
(*.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(approx (/ (exp y) 2) #s(literal 1/2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(approx (/ (exp y) 2) (fma.f64 (fma.f64 #s(literal 1/4 binary64) y #s(literal 1/2 binary64)) y #s(literal 1/2 binary64))) #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) y))
(/.f64 (*.f64 (sinh.f64 y) #s(approx (cos x) #s(approx (+ (* (* x x) -1/2) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) y)
(*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (/.f64 (sinh.f64 y) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(approx (/ (exp (neg y)) 2) #s(approx (+ (* -1/2 y) 1/2) (*.f64 #s(literal -1/2 binary64) y)))) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y))
(/.f64 (*.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(literal 1 binary64)) (/.f64 (-.f64 #s(approx (/ (exp y) 2) (*.f64 #s(literal 1/2 binary64) (exp.f64 y))) #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(approx (/ (exp (neg y)) 2) #s(approx (+ (* -1/2 y) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y)))) y))
(*.f64 #s(approx (cos x) #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))) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) #s(approx (/ (cos x) y) (exp.f64 (*.f64 (log.f64 y) #s(literal -1 binary64)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))) y))
(*.f64 (cos.f64 x) (/.f64 #s(approx (sinh y) y) y))
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
Outputs
(/.f64 (*.f64 (sinh.f64 y) #s(approx (cos x) #s(approx (+ (* (* x x) -1/2) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) y)
(*.f64 (cos.f64 x) (/.f64 #s(approx (sinh y) y) y))
(/.f64 (*.f64 (sinh.f64 y) #s(approx (cos x) #s(literal 1 binary64))) y)
Calls

1 calls:

9.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
98.8%3(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 6 to 6 computations (0% saved)

regimes38.0ms (1.2%)

Memory
12.7MiB live, 105.8MiB allocated; 5ms collecting garbage
Counts
27 → 2
Calls
Call 1
Inputs
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(approx (/ (exp y) 2) #s(literal 1/2 binary64)) #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(approx (- (* 1/24 (* x x)) 1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) #s(approx (* (+ (* (* y y) 1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y))))
(*.f64 #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/24 binary64)))) (/.f64 #s(approx (sinh y) y) y))
(/.f64 (*.f64 (sinh.f64 y) #s(approx (cos x) #s(literal 1 binary64))) y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) #s(approx (/ (cos x) y) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(approx (/ (exp y) 2) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1/2 binary64))) #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) y))
(*.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(approx (/ (exp y) 2) #s(literal 1/2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(approx (/ (exp y) 2) (fma.f64 (fma.f64 #s(literal 1/4 binary64) y #s(literal 1/2 binary64)) y #s(literal 1/2 binary64))) #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) y))
(/.f64 (*.f64 (sinh.f64 y) #s(approx (cos x) #s(approx (+ (* (* x x) -1/2) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) y)
(*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (/.f64 (sinh.f64 y) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(approx (/ (exp (neg y)) 2) #s(approx (+ (* -1/2 y) 1/2) (*.f64 #s(literal -1/2 binary64) y)))) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y))
(/.f64 (*.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(literal 1 binary64)) (/.f64 (-.f64 #s(approx (/ (exp y) 2) (*.f64 #s(literal 1/2 binary64) (exp.f64 y))) #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(approx (/ (exp (neg y)) 2) #s(approx (+ (* -1/2 y) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y)))) y))
(*.f64 #s(approx (cos x) #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))) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) #s(approx (/ (cos x) y) (exp.f64 (*.f64 (log.f64 y) #s(literal -1 binary64)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))) y))
Outputs
(/.f64 (*.f64 (sinh.f64 y) #s(approx (cos x) #s(approx (+ (* (* x x) -1/2) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) y)
(/.f64 (*.f64 (sinh.f64 y) #s(approx (cos x) #s(literal 1 binary64))) y)
Calls

5 calls:

8.0ms
(/.f64 (sinh.f64 y) y)
8.0ms
y
7.0ms
x
7.0ms
(cos.f64 x)
6.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
67.8%1(/.f64 (sinh.f64 y) y)
80.1%2(cos.f64 x)
67.8%1x
67.8%1y
80.1%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 13 to 17 computations (-30.8% saved)

regimes14.0ms (0.4%)

Memory
-18.1MiB live, 34.8MiB allocated; 6ms collecting garbage
Counts
16 → 2
Calls
Call 1
Inputs
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(approx (/ (exp y) 2) #s(literal 1/2 binary64)) #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(approx (- (* 1/24 (* x x)) 1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) #s(approx (* (+ (* (* y y) 1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y))))
(*.f64 #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/24 binary64)))) (/.f64 #s(approx (sinh y) y) y))
(/.f64 (*.f64 (sinh.f64 y) #s(approx (cos x) #s(literal 1 binary64))) y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) #s(approx (/ (cos x) y) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(approx (/ (exp y) 2) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1/2 binary64))) #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) y))
(*.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(approx (/ (exp y) 2) #s(literal 1/2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(approx (/ (exp y) 2) (fma.f64 (fma.f64 #s(literal 1/4 binary64) y #s(literal 1/2 binary64)) y #s(literal 1/2 binary64))) #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) y))
Outputs
(*.f64 #s(approx (cos x) (fma.f64 #s(approx (- (* 1/24 (* x x)) 1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y))
(/.f64 (*.f64 (sinh.f64 y) #s(approx (cos x) #s(literal 1 binary64))) y)
Calls

2 calls:

8.0ms
(cos.f64 x)
4.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
75.4%2(cos.f64 x)
75.4%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 8 to 9 computations (-12.5% saved)

regimes16.0ms (0.5%)

Memory
2.2MiB live, 49.2MiB allocated; 3ms collecting garbage
Counts
9 → 2
Calls
Call 1
Inputs
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(approx (/ (exp y) 2) #s(literal 1/2 binary64)) #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(approx (- (* 1/24 (* x x)) 1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) #s(approx (* (+ (* (* y y) 1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y))))
(*.f64 #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/24 binary64)))) (/.f64 #s(approx (sinh y) y) y))
Outputs
(*.f64 #s(approx (cos x) (fma.f64 #s(approx (- (* 1/24 (* x x)) 1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
Calls

5 calls:

4.0ms
x
3.0ms
y
3.0ms
(cos.f64 x)
2.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
2.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
55.5%1x
55.5%1y
55.5%1(/.f64 (sinh.f64 y) y)
63.1%2(cos.f64 x)
63.1%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 13 to 17 computations (-30.8% saved)

regimes5.0ms (0.1%)

Memory
15.0MiB live, 15.0MiB allocated; 0ms collecting garbage
Counts
6 → 3
Calls
Call 1
Inputs
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(approx (/ (exp y) 2) #s(literal 1/2 binary64)) #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(approx (- (* 1/24 (* x x)) 1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) #s(approx (* (+ (* (* y y) 1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)) y))
Outputs
(*.f64 #s(approx (cos x) (fma.f64 #s(approx (- (* 1/24 (* x x)) 1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) #s(approx (* (+ (* (* y y) 1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))) y))
Calls

2 calls:

2.0ms
(cos.f64 x)
2.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
58.9%3(cos.f64 x)
63.1%3(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 8 to 9 computations (-12.5% saved)

regimes4.0ms (0.1%)

Memory
12.6MiB live, 12.6MiB allocated; 0ms collecting garbage
Counts
4 → 2
Calls
Call 1
Inputs
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(approx (/ (exp y) 2) #s(literal 1/2 binary64)) #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(approx (- (* 1/24 (* x x)) 1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y))
Outputs
(*.f64 #s(approx (cos x) (fma.f64 #s(approx (- (* 1/24 (* x x)) 1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) y) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) y) #s(literal 1 binary64))))
Calls

2 calls:

2.0ms
(cos.f64 x)
1.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
57.3%2(cos.f64 x)
57.3%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 8 to 9 computations (-12.5% saved)

regimes9.0ms (0.3%)

Memory
-21.9MiB live, 24.7MiB allocated; 2ms collecting garbage
Accuracy

Total -29.8b remaining (-92.8%)

Threshold costs -29.8b (-92.8%)

Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(approx (/ (exp y) 2) #s(literal 1/2 binary64)) #s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) y))
Outputs
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) y) #s(literal 1 binary64))))
Calls

5 calls:

3.0ms
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
49.8%1y
49.8%1(/.f64 (sinh.f64 y) y)
49.8%1x
49.8%1(cos.f64 x)
49.8%1(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 13 to 17 computations (-30.8% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999829245380994
1.0
0.0ms
-inf
-504373.91618514253
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
0.9999829245380994
1.0
0.0ms
-inf
-504373.91618514253
Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.04792747575814612
0.014381668348843291
Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.04792747575814612
0.014381668348843291
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
-0.04792747575814612
0.014381668348843291
Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
18.265227115475106
+inf
0.0ms
-0.04792747575814612
0.014381668348843291
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
-0.04792747575814612
0.014381668348843291
Compiler

Compiled 9 to 11 computations (-22.2% saved)

derivations393.0ms (12.6%)

Memory
3.3MiB live, 617.9MiB allocated; 124ms collecting garbage
Stop Event
fuel
Compiler

Compiled 111 to 86 computations (22.5% saved)

preprocess109.0ms (3.5%)

Memory
34.6MiB live, 413.6MiB allocated; 37ms collecting garbage
Remove

(abs y)

(abs x)

Compiler

Compiled 1 277 to 1 188 computations (7% saved)

end0.0ms (0%)

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

Profiling

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