Linear.Quaternion:$csin from linear-1.19.1.3

Time bar (total: 3.5s)

start0.0ms (0%)

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

analyze20.0ms (0.6%)

Memory
-8.2MiB live, 37.4MiB allocated; 7ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
93.8%93.7%6.2%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
96.9%96.8%3.1%0.1%0%0%0%12
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.0s (29.6%)

Memory
17.4MiB live, 1 127.6MiB allocated; 349ms collecting garbage
Samples
811.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 586.0ms
ival-cos: 349.0ms (59.6% of total)
ival-mult!: 134.0ms (22.9% of total)
ival-sinh: 56.0ms (9.6% of total)
ival-div!: 45.0ms (7.7% of total)
adjust: 1.0ms (0.2% of total)
Bogosity

preprocess69.0ms (1.9%)

Memory
-27.5MiB live, 18.9MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01944
16344
223044
381144
4630544
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
21.0MiB live, 21.0MiB allocated; 0ms collecting garbage
Counts
6 → 26
Calls
Call 1
Inputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(cos.f64 x)
x
(/.f64 (sinh.f64 y) y)
(sinh.f64 y)
y
Outputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (cos x)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (cos x) (* 1/6 (* (pow y 2) (cos x))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))))
#s(approx (/ (sinh y) y) #s(hole binary64 1))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))
#s(approx (sinh y) #s(hole binary64 y))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2))))))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))))
#s(approx y #s(hole binary64 y))
#s(approx (/ (sinh y) y) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
#s(approx (sinh y) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
Calls

6 calls:

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

rewrite198.0ms (5.6%)

Memory
10.4MiB live, 159.7MiB allocated; 28ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

eval5.0ms (0.1%)

Memory
9.8MiB live, 9.8MiB allocated; 0ms collecting garbage
Compiler

Compiled 397 to 212 computations (46.6% saved)

prune25.0ms (0.7%)

Memory
-38.8MiB live, 5.9MiB allocated; 6ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New42547
Fresh000
Picked101
Done000
Total43548
Accuracy
100.0%
Counts
48 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) y)
74.2%
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
65.0%
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y))
64.1%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
49.6%
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
Compiler

Compiled 88 to 88 computations (0% saved)

series11.0ms (0.3%)

Memory
18.7MiB live, 18.7MiB allocated; 0ms collecting garbage
Counts
21 → 54
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)
#s(approx (* (cos x) (/ (sinh y) y)) (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)))
(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 (* (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 (+ (* -1/2 (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (* (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 (* (cos x) (/ (sinh y) y)) #s(hole binary64 (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))))
#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)))
#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 y #s(hole binary64 y))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (cos x)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (cos x) (* 1/6 (* (pow y 2) (cos x))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))))
#s(approx (/ (sinh y) y) #s(hole binary64 1))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (sinh y) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
#s(approx (/ (sinh y) y) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (* 1/6 (pow y 2))))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))))
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)) (* (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)) (* (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)) (* (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)) (* (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)) (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (* y y) 1/6)

rewrite169.0ms (4.8%)

Memory
18.8MiB live, 250.1MiB allocated; 33ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01891273
02081226
19661068
084241024
Stop Event
iter-limit
node-limit
iter-limit
Counts
75 → 212
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)
#s(approx (* (cos x) (/ (sinh y) y)) (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)))
(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 (* (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 (+ (* -1/2 (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (* (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 (* (cos x) (/ (sinh y) y)) #s(hole binary64 (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))))
#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)))
#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 y #s(hole binary64 y))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (cos x)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (cos x) (* 1/6 (* (pow y 2) (cos x))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))))
#s(approx (/ (sinh y) y) #s(hole binary64 1))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (sinh y) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
#s(approx (/ (sinh y) y) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (* 1/6 (pow y 2))))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))))
Outputs
(*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (neg.f64 (*.f64 (neg.f64 (cos.f64 x)) (sinh.f64 y))) (neg.f64 (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 (cos.f64 x)) (sinh.f64 y)) (neg.f64 y))
(/.f64 (*.f64 (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 (neg.f64 (cos.f64 x)) (sinh.f64 y)) y))
(neg.f64 (/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) (neg.f64 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 (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 (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 (sinh.f64 y) y)
(neg.f64 (/.f64 (sinh.f64 (neg.f64 y)) y))
(neg.f64 (/.f64 (sinh.f64 y) (neg.f64 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 (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 (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) #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)))))
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#s(approx (/ (* (sinh y) (cos x)) y) (cos.f64 x))
#s(approx (/ (* (sinh y) (cos x)) y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (cos.f64 x)))
#s(approx (/ (* (sinh y) (cos x)) y) (fma.f64 (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (cos.f64 x)))
#s(approx (/ (* (sinh y) (cos x)) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (cos.f64 x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) y) y) y) y)))
#s(approx (* (sinh y) (cos x)) (*.f64 (cos.f64 x) y))
#s(approx (* (sinh y) (cos x)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (cos.f64 x)) y))
#s(approx (* (sinh y) (cos x)) (*.f64 (fma.f64 (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (cos.f64 x)) y))
#s(approx (* (sinh y) (cos x)) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (cos.f64 x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) y) y) y) y)) y))
#s(approx (sinh y) y)
#s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y y))
#s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))
#s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y))
#s(approx y y)
#s(approx (/ (* (sinh y) (cos x)) y) (cos.f64 x))
#s(approx (/ (* (sinh y) (cos x)) y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (cos.f64 x)))
#s(approx (/ (* (sinh y) (cos x)) y) (fma.f64 (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (cos.f64 x)))
#s(approx (/ (* (sinh y) (cos x)) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (cos.f64 x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) y) y) y) y)))
#s(approx (/ (sinh y) y) #s(literal 1 binary64))
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (/ (sinh y) y) (fma.f64 (*.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) 1/6) 1) #s(literal 1 binary64))
#s(approx (+ (* (* y y) 1/6) 1) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
#s(approx (* y y) (*.f64 y y))
#s(approx (sinh y) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))
#s(approx (/ (sinh y) y) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64)))
#s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))
#s(approx (+ (* (* y y) 1/6) 1) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))

eval23.0ms (0.6%)

Memory
3.0MiB live, 48.7MiB allocated; 3ms collecting garbage
Compiler

Compiled 1 887 to 843 computations (55.3% saved)

prune32.0ms (0.9%)

Memory
-36.3MiB live, 21.2MiB allocated; 7ms collecting garbage
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New2199228
Fresh000
Picked325
Done000
Total22211233
Accuracy
100.0%
Counts
233 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
83.9%
(/.f64 (*.f64 #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y y)) (cos.f64 x)) y)
64.1%
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (sinh.f64 y)) y)
74.2%
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
65.0%
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y))
30.3%
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
14.6%
(*.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))
52.9%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y y)) y))
26.7%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
49.6%
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
33.1%
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
35.2%
#s(approx (* (cos x) (/ (sinh y) y)) #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))))
Compiler

Compiled 253 to 247 computations (2.4% saved)

series14.0ms (0.4%)

Memory
26.4MiB live, 26.4MiB allocated; 0ms collecting garbage
Counts
31 → 85
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y y)) (cos.f64 x)) y)
(*.f64 #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y y)) (cos.f64 x))
#s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y y))
(fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y y)
(*.f64 (*.f64 y y) #s(literal 1/6 binary64))
(*.f64 y y)
y
#s(literal 1/6 binary64)
(cos.f64 x)
x
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (sinh y) y) #s(literal 1 binary64))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#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 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (sinh.f64 y)) y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (sinh.f64 y))
(sinh.f64 y)
(*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (/.f64 (sinh.f64 y) y))
#s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))
#s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(/.f64 (sinh.f64 y) 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 (* (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 (* (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 (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (- (* 1/24 (* x x)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* 1/24 (* x x)) 1/2) #s(hole binary64 (- (* 1/24 (pow x 2)) 1/2)))
#s(approx (* 1/24 (* x x)) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (* (cos x) (sinh y)) y) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
#s(approx (/ (* (cos x) (sinh y)) y) #s(hole binary64 (+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))))
#s(approx (/ (* (cos x) (sinh y)) y) #s(hole binary64 (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))))
#s(approx (/ (* (cos x) (sinh y)) y) #s(hole binary64 (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))))
#s(approx (* (cos x) (sinh y)) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
#s(approx (* (cos x) (sinh y)) #s(hole binary64 (+ (* -1/4 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))))
#s(approx (* (cos x) (sinh y)) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/4 (- (exp y) (/ 1 (exp y)))) (* 1/48 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))))
#s(approx (* (cos x) (sinh y)) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/4 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/1440 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/48 (- (exp y) (/ 1 (exp y)))))))))))
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* (* x x) -1/2) #s(hole binary64 (* -1/2 (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 (* (cos x) (/ (sinh y) y)) #s(hole binary64 (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* 1/24 (pow x 4))))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (* 1/24 (* x x)) 1/2) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (- (* 1/24 (* x x)) 1/2) #s(hole binary64 (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (/ (* (cos x) (sinh y)) y) #s(hole binary64 (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))))
#s(approx (* (cos x) (sinh y)) #s(hole binary64 (* 1/2 (* (cos x) (- (exp y) (/ 1 (exp y)))))))
#s(approx (+ (* -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)))
#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 (+ (* (* (* y y) 1/6) y) y) #s(hole binary64 y))
#s(approx (+ (* (* (* y y) 1/6) y) y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2))))))
#s(approx (* (* y y) 1/6) #s(hole binary64 (* 1/6 (pow y 2))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx y #s(hole binary64 y))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (cos x)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (cos x) (* 1/6 (* (pow y 2) (cos x))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))))
#s(approx (/ (sinh y) y) #s(hole binary64 1))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))
#s(approx (/ (* (cos x) (sinh y)) y) #s(hole binary64 (cos x)))
#s(approx (/ (* (cos x) (sinh y)) y) #s(hole binary64 (+ (cos x) (* 1/6 (* (pow y 2) (cos x))))))
#s(approx (/ (* (cos x) (sinh y)) y) #s(hole binary64 (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))))
#s(approx (/ (* (cos x) (sinh y)) y) #s(hole binary64 (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))))
#s(approx (* (cos x) (sinh y)) #s(hole binary64 (* y (cos x))))
#s(approx (* (cos x) (sinh y)) #s(hole binary64 (* y (+ (cos x) (* 1/6 (* (pow y 2) (cos x)))))))
#s(approx (* (cos x) (sinh y)) #s(hole binary64 (* y (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))))))
#s(approx (* (cos x) (sinh y)) #s(hole binary64 (* y (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x))))))))))
#s(approx (sinh y) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
#s(approx (+ (* (* (* y y) 1/6) y) y) #s(hole binary64 (* 1/6 (pow y 3))))
#s(approx (+ (* (* (* y y) 1/6) y) y) #s(hole binary64 (* (pow y 3) (+ 1/6 (/ 1 (pow y 2))))))
#s(approx (/ (sinh y) y) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
Calls

6 calls:

TimeVariablePointExpression
3.0ms
y
@-inf
((/ (* (sinh y) (cos x)) y) (* (sinh y) (cos x)) (sinh y) (+ (* (* (* y y) 1/6) y) y) (* (* y y) 1/6) (* y y) y 1/6 (cos x) x (* (cos x) (/ (sinh y) y)) (cos x) 1 (/ (sinh y) y) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (- (* 1/24 (* x x)) 1/2) (* 1/24 (* x x)) 1/24 (* x x) 1/2 (/ (* (cos x) (sinh y)) y) (* (cos x) (sinh y)) (sinh y) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* -1/2 (* x x)) 1) (* (* x x) -1/2) -1/2 (/ (sinh y) y))
3.0ms
y
@inf
((/ (* (sinh y) (cos x)) y) (* (sinh y) (cos x)) (sinh y) (+ (* (* (* y y) 1/6) y) y) (* (* y y) 1/6) (* y y) y 1/6 (cos x) x (* (cos x) (/ (sinh y) y)) (cos x) 1 (/ (sinh y) y) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (- (* 1/24 (* x x)) 1/2) (* 1/24 (* x x)) 1/24 (* x x) 1/2 (/ (* (cos x) (sinh y)) y) (* (cos x) (sinh y)) (sinh y) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* -1/2 (* x x)) 1) (* (* x x) -1/2) -1/2 (/ (sinh y) y))
3.0ms
x
@inf
((/ (* (sinh y) (cos x)) y) (* (sinh y) (cos x)) (sinh y) (+ (* (* (* y y) 1/6) y) y) (* (* y y) 1/6) (* y y) y 1/6 (cos x) x (* (cos x) (/ (sinh y) y)) (cos x) 1 (/ (sinh y) y) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (- (* 1/24 (* x x)) 1/2) (* 1/24 (* x x)) 1/24 (* x x) 1/2 (/ (* (cos x) (sinh y)) y) (* (cos x) (sinh y)) (sinh y) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* -1/2 (* x x)) 1) (* (* x x) -1/2) -1/2 (/ (sinh y) y))
2.0ms
x
@-inf
((/ (* (sinh y) (cos x)) y) (* (sinh y) (cos x)) (sinh y) (+ (* (* (* y y) 1/6) y) y) (* (* y y) 1/6) (* y y) y 1/6 (cos x) x (* (cos x) (/ (sinh y) y)) (cos x) 1 (/ (sinh y) y) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (- (* 1/24 (* x x)) 1/2) (* 1/24 (* x x)) 1/24 (* x x) 1/2 (/ (* (cos x) (sinh y)) y) (* (cos x) (sinh y)) (sinh y) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* -1/2 (* x x)) 1) (* (* x x) -1/2) -1/2 (/ (sinh y) y))
1.0ms
x
@0
((/ (* (sinh y) (cos x)) y) (* (sinh y) (cos x)) (sinh y) (+ (* (* (* y y) 1/6) y) y) (* (* y y) 1/6) (* y y) y 1/6 (cos x) x (* (cos x) (/ (sinh y) y)) (cos x) 1 (/ (sinh y) y) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (- (* 1/24 (* x x)) 1/2) (* 1/24 (* x x)) 1/24 (* x x) 1/2 (/ (* (cos x) (sinh y)) y) (* (cos x) (sinh y)) (sinh y) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* -1/2 (* x x)) 1) (* (* x x) -1/2) -1/2 (/ (sinh y) y))

rewrite216.0ms (6.1%)

Memory
5.8MiB live, 234.5MiB allocated; 36ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02492173
02782099
111521811
084171702
Stop Event
iter-limit
node-limit
iter-limit
Counts
116 → 268
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y y)) (cos.f64 x)) y)
(*.f64 #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y y)) (cos.f64 x))
#s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y y))
(fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y y)
(*.f64 (*.f64 y y) #s(literal 1/6 binary64))
(*.f64 y y)
y
#s(literal 1/6 binary64)
(cos.f64 x)
x
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (sinh y) y) #s(literal 1 binary64))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#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 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (sinh.f64 y)) y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (sinh.f64 y))
(sinh.f64 y)
(*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (/.f64 (sinh.f64 y) y))
#s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))
#s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(/.f64 (sinh.f64 y) 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 (* (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 (* (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 (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (- (* 1/24 (* x x)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* 1/24 (* x x)) 1/2) #s(hole binary64 (- (* 1/24 (pow x 2)) 1/2)))
#s(approx (* 1/24 (* x x)) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (* (cos x) (sinh y)) y) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
#s(approx (/ (* (cos x) (sinh y)) y) #s(hole binary64 (+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))))
#s(approx (/ (* (cos x) (sinh y)) y) #s(hole binary64 (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))))
#s(approx (/ (* (cos x) (sinh y)) y) #s(hole binary64 (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))))
#s(approx (* (cos x) (sinh y)) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
#s(approx (* (cos x) (sinh y)) #s(hole binary64 (+ (* -1/4 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))))
#s(approx (* (cos x) (sinh y)) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/4 (- (exp y) (/ 1 (exp y)))) (* 1/48 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))))
#s(approx (* (cos x) (sinh y)) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/4 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/1440 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/48 (- (exp y) (/ 1 (exp y)))))))))))
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* (* x x) -1/2) #s(hole binary64 (* -1/2 (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 (* (cos x) (/ (sinh y) y)) #s(hole binary64 (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* 1/24 (pow x 4))))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (* 1/24 (* x x)) 1/2) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (- (* 1/24 (* x x)) 1/2) #s(hole binary64 (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (/ (* (cos x) (sinh y)) y) #s(hole binary64 (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))))
#s(approx (* (cos x) (sinh y)) #s(hole binary64 (* 1/2 (* (cos x) (- (exp y) (/ 1 (exp y)))))))
#s(approx (+ (* -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)))
#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 (+ (* (* (* y y) 1/6) y) y) #s(hole binary64 y))
#s(approx (+ (* (* (* y y) 1/6) y) y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2))))))
#s(approx (* (* y y) 1/6) #s(hole binary64 (* 1/6 (pow y 2))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx y #s(hole binary64 y))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (cos x)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (cos x) (* 1/6 (* (pow y 2) (cos x))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))))
#s(approx (/ (sinh y) y) #s(hole binary64 1))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))
#s(approx (/ (* (cos x) (sinh y)) y) #s(hole binary64 (cos x)))
#s(approx (/ (* (cos x) (sinh y)) y) #s(hole binary64 (+ (cos x) (* 1/6 (* (pow y 2) (cos x))))))
#s(approx (/ (* (cos x) (sinh y)) y) #s(hole binary64 (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))))
#s(approx (/ (* (cos x) (sinh y)) y) #s(hole binary64 (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))))
#s(approx (* (cos x) (sinh y)) #s(hole binary64 (* y (cos x))))
#s(approx (* (cos x) (sinh y)) #s(hole binary64 (* y (+ (cos x) (* 1/6 (* (pow y 2) (cos x)))))))
#s(approx (* (cos x) (sinh y)) #s(hole binary64 (* y (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))))))
#s(approx (* (cos x) (sinh y)) #s(hole binary64 (* y (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x))))))))))
#s(approx (sinh y) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
#s(approx (+ (* (* (* y y) 1/6) y) y) #s(hole binary64 (* 1/6 (pow y 3))))
#s(approx (+ (* (* (* y y) 1/6) y) y) #s(hole binary64 (* (pow y 3) (+ 1/6 (/ 1 (pow y 2))))))
#s(approx (/ (sinh y) y) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
Outputs
(*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) (/.f64 (cos.f64 x) y))
(/.f64 (neg.f64 (*.f64 (neg.f64 (cos.f64 x)) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)))) (neg.f64 (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 (cos.f64 x)) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))) (neg.f64 y))
(/.f64 (*.f64 (cos.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))) y)
(neg.f64 (/.f64 (*.f64 (neg.f64 (cos.f64 x)) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))) y))
(neg.f64 (/.f64 (*.f64 (cos.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))) (neg.f64 y)))
(*.f64 (cos.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)))
(*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) (cos.f64 x))
#s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64)))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y)) y)
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) (*.f64 y y))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) y))
(*.f64 (*.f64 (*.f64 y y) y) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (*.f64 y y))) (-.f64 y (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y)))
(/.f64 (fma.f64 (*.f64 y y) y (pow.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (*.f64 y y)) (*.f64 y (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (*.f64 y y)) (*.f64 y y))) (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y) y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y) #s(literal 3 binary64)) (*.f64 (*.f64 y y) y))) (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (*.f64 y y) (*.f64 y (-.f64 y (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (*.f64 y y)) (*.f64 y y)) (-.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y) y))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y) #s(literal 3 binary64)) (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (*.f64 y y) (*.f64 y (-.f64 y (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y)))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64)) y)
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) (*.f64 y y) y)
(fma.f64 (*.f64 y #s(literal 1/6 binary64)) (*.f64 y y) y)
(fma.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64) y)
(fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y y)
(fma.f64 (*.f64 y y) (*.f64 #s(literal 1/6 binary64) y) y)
(fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)
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(/.f64 (*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (sinh.f64 y)) y)
#s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))
#s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)) x)
(*.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(*.f64 (*.f64 #s(literal -1/2 binary64) x) x)
(*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(neg.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
#s(literal -1/2 binary64)
(/.f64 (neg.f64 (sinh.f64 (neg.f64 y))) (neg.f64 (neg.f64 y)))
(/.f64 (sinh.f64 (neg.f64 y)) (neg.f64 y))
(/.f64 (sinh.f64 y) y)
(neg.f64 (/.f64 (sinh.f64 (neg.f64 y)) y))
(neg.f64 (/.f64 (sinh.f64 y) (neg.f64 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 (*.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 (/ (* (cos x) (sinh y)) 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 (/ (* (cos x) (sinh y)) y) (+.f64 (/.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) (*.f64 (*.f64 (*.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) x) x)))
#s(approx (* (cos x) (sinh y)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))
#s(approx (* (cos x) (sinh y)) (*.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 (* (cos x) (sinh y)) (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 (* (cos x) (sinh y)) (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (*.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))) x) x) x) x)))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (/ (* (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 (*.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 (/ (* (cos x) (sinh y)) 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 (/ (* (cos x) (sinh y)) y) (+.f64 (/.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) (*.f64 (*.f64 (*.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) x) x)))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (- (* 1/24 (* x x)) 1/2) #s(literal -1/2 binary64))
#s(approx (- (* 1/24 (* x x)) 1/2) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
#s(approx (* 1/24 (* x x)) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
#s(approx (* x x) (*.f64 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 (*.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 (/ (* (cos x) (sinh y)) 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 (/ (* (cos x) (sinh y)) y) (+.f64 (/.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) (*.f64 (*.f64 (*.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) x) x)))
#s(approx (* (cos x) (sinh y)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))
#s(approx (* (cos x) (sinh y)) (*.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 (* (cos x) (sinh y)) (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 (* (cos x) (sinh y)) (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (*.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))) x) x) x) x)))
#s(approx (+ (* -1/2 (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* -1/2 (* x x)) 1) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))
#s(approx (* (* x x) -1/2) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
#s(approx (/ (* (cos x) (sinh y)) y) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y)))
#s(approx (* (cos x) (sinh y)) (*.f64 (*.f64 (cos.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal 1/2 binary64)))
#s(approx (cos x) (cos.f64 x))
#s(approx (/ (* (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 (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/24 binary64)))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x)))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (+.f64 #s(literal 1/24 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) x) x)))
#s(approx (- (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
#s(approx (- (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) x))
#s(approx (/ (* (cos x) (sinh y)) y) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y)))
#s(approx (* (cos x) (sinh y)) (*.f64 (*.f64 (cos.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal 1/2 binary64)))
#s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
#s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) x))
#s(approx (/ (* (cos x) (sinh y)) y) (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 (* (cos x) (sinh y)) (*.f64 (cos.f64 x) y))
#s(approx (* (cos x) (sinh y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (cos.f64 x)) y))
#s(approx (* (cos x) (sinh y)) (*.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 (* (cos x) (sinh y)) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (cos.f64 x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) y) y) y) y)) y))
#s(approx (sinh y) y)
#s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))
#s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))
#s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y))
#s(approx (+ (* (* (* y y) 1/6) y) y) y)
#s(approx (+ (* (* (* y y) 1/6) y) y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))
#s(approx (* (* y y) 1/6) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))
#s(approx (* y y) (*.f64 y y))
#s(approx y y)
#s(approx (/ (* (cos x) (sinh y)) y) (cos.f64 x))
#s(approx (/ (* (cos x) (sinh y)) y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (cos.f64 x)))
#s(approx (/ (* (cos x) (sinh y)) y) (fma.f64 (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (cos.f64 x)))
#s(approx (/ (* (cos x) (sinh y)) y) (fma.f64 (fma.f64 (*.f64 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) #s(literal 1 binary64))
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (/ (sinh y) y) (fma.f64 (*.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 (/ (* (cos x) (sinh y)) y) (cos.f64 x))
#s(approx (/ (* (cos x) (sinh y)) y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (cos.f64 x)))
#s(approx (/ (* (cos x) (sinh y)) y) (fma.f64 (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (cos.f64 x)))
#s(approx (/ (* (cos x) (sinh y)) y) (fma.f64 (fma.f64 (*.f64 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 (* (cos x) (sinh y)) (*.f64 (cos.f64 x) y))
#s(approx (* (cos x) (sinh y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (cos.f64 x)) y))
#s(approx (* (cos x) (sinh y)) (*.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 (* (cos x) (sinh y)) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (cos.f64 x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) y) y) y) y)) y))
#s(approx (sinh y) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (* y y) 1/6) y) y) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y))
#s(approx (+ (* (* (* y y) 1/6) y) y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))
#s(approx (/ (sinh y) y) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64)))

eval27.0ms (0.8%)

Memory
6.6MiB live, 51.1MiB allocated; 6ms collecting garbage
Compiler

Compiled 2 348 to 1 123 computations (52.2% saved)

prune18.0ms (0.5%)

Memory
-21.1MiB live, 25.1MiB allocated; 4ms collecting garbage
Pruning

13 alts after pruning (9 fresh and 4 done)

PrunedKeptTotal
New2277234
Fresh224
Picked325
Done022
Total23213245
Accuracy
100.0%
Counts
245 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
83.9%
(/.f64 (*.f64 #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y y)) (cos.f64 x)) y)
14.6%
(/.f64 (*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (sinh.f64 y)) y)
64.1%
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (sinh.f64 y)) y)
74.2%
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
52.9%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y y)) y))
45.4%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
33.1%
#s(approx (/ (* (cos x) (sinh y)) y) #s(approx (cos x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
49.6%
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
35.2%
#s(approx (* (cos x) (/ (sinh y) y)) #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))))
32.7%
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(approx (- (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))))
30.3%
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))))
10.2%
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/24 binary64)))))
26.7%
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64))))
Compiler

Compiled 368 to 346 computations (6% saved)

series16.0ms (0.5%)

Memory
36.2MiB live, 36.2MiB allocated; 0ms collecting garbage
Counts
34 → 83
Calls
Call 1
Inputs
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y y)) y))
#s(approx (cos x) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y y)) y)
#s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y y))
(fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y y)
(*.f64 (*.f64 y y) #s(literal 1/6 binary64))
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64))))
#s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64)))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#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))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(approx (- (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 #s(approx (- (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(approx (- (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))
#s(approx (- (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(*.f64 x x)
x
#s(literal 1/24 binary64)
#s(approx (* (cos x) (/ (sinh y) y)) #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 (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)))
(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))
(*.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)
(-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64))
(*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)
(*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
#s(literal -1/720 binary64)
#s(literal 1/2 binary64)
Outputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (- (* 1/24 (* x x)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* 1/24 (* x x)) 1/2) #s(hole binary64 (- (* 1/24 (pow x 2)) 1/2)))
#s(approx (* (* x x) 1/24) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) #s(hole binary64 1))
#s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* -1/2 x)))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* x (- (* 1/24 (pow x 2)) 1/2))))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
#s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) #s(hole binary64 (- (* 1/24 (pow x 2)) 1/2)))
#s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) #s(hole binary64 (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
#s(approx (* (* (+ (* -1/720 (* x x)) 1/24) x) x) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (* (* (+ (* -1/720 (* x x)) 1/24) x) x) #s(hole binary64 (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) x) #s(hole binary64 (* 1/24 x)))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) x) #s(hole binary64 (* x (+ 1/24 (* -1/720 (pow x 2))))))
#s(approx (+ (* -1/720 (* x x)) 1/24) #s(hole binary64 1/24))
#s(approx (+ (* -1/720 (* x x)) 1/24) #s(hole binary64 (+ 1/24 (* -1/720 (pow x 2)))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* 1/24 (pow x 4))))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (* 1/24 (* x x)) 1/2) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (- (* 1/24 (* x x)) 1/2) #s(hole binary64 (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) #s(hole binary64 (* -1/720 (pow x 6))))
#s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) #s(hole binary64 (* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720))))
#s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) #s(hole binary64 (* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))))
#s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) #s(hole binary64 (* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4)))))))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* -1/720 (pow x 5))))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) 1/720))))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))))
#s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) #s(hole binary64 (* -1/720 (pow x 4))))
#s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) #s(hole binary64 (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))))
#s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) #s(hole binary64 (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))))
#s(approx (* (* (+ (* -1/720 (* x x)) 1/24) x) x) #s(hole binary64 (* -1/720 (pow x 4))))
#s(approx (* (* (+ (* -1/720 (* x x)) 1/24) x) x) #s(hole binary64 (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) x) #s(hole binary64 (* -1/720 (pow x 3))))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) x) #s(hole binary64 (* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))))
#s(approx (+ (* -1/720 (* x x)) 1/24) #s(hole binary64 (* -1/720 (pow x 2))))
#s(approx (+ (* -1/720 (* x x)) 1/24) #s(hole binary64 (* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* -1 (* (pow x 5) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (cos x)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (cos x) (* 1/6 (* (pow y 2) (cos x))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))))
#s(approx (/ (sinh y) y) #s(hole binary64 1))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))
#s(approx (sinh y) #s(hole binary64 y))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2))))))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))))
#s(approx (+ (* (* (* y y) 1/6) y) y) #s(hole binary64 y))
#s(approx (+ (* (* (* y y) 1/6) y) y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2))))))
#s(approx (* (* y y) 1/6) #s(hole binary64 (* 1/6 (pow y 2))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx y #s(hole binary64 y))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (/ (sinh y) y) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
#s(approx (sinh y) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
#s(approx (+ (* (* (* y y) 1/6) y) y) #s(hole binary64 (* 1/6 (pow y 3))))
#s(approx (+ (* (* (* y y) 1/6) y) y) #s(hole binary64 (* (pow y 3) (+ 1/6 (/ 1 (pow y 2))))))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (* 1/6 (pow y 2))))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))))
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x
@inf
((* (cos x) (/ (sinh y) y)) (cos x) 1 (/ (sinh y) y) (sinh y) (+ (* (* (* y y) 1/6) y) y) (* (* y y) 1/6) (* y y) y 1/6 (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (- (* 1/24 (* x x)) 1/2) (* (* x x) 1/24) (* x x) x 1/24 (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) (* (* (+ (* -1/720 (* x x)) 1/24) x) x) (* (+ (* -1/720 (* x x)) 1/24) x) (+ (* -1/720 (* x x)) 1/24) -1/720 1/2)
3.0ms
x
@-inf
((* (cos x) (/ (sinh y) y)) (cos x) 1 (/ (sinh y) y) (sinh y) (+ (* (* (* y y) 1/6) y) y) (* (* y y) 1/6) (* y y) y 1/6 (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (- (* 1/24 (* x x)) 1/2) (* (* x x) 1/24) (* x x) x 1/24 (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) (* (* (+ (* -1/720 (* x x)) 1/24) x) x) (* (+ (* -1/720 (* x x)) 1/24) x) (+ (* -1/720 (* x x)) 1/24) -1/720 1/2)
3.0ms
y
@-inf
((* (cos x) (/ (sinh y) y)) (cos x) 1 (/ (sinh y) y) (sinh y) (+ (* (* (* y y) 1/6) y) y) (* (* y y) 1/6) (* y y) y 1/6 (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (- (* 1/24 (* x x)) 1/2) (* (* x x) 1/24) (* x x) x 1/24 (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) (* (* (+ (* -1/720 (* x x)) 1/24) x) x) (* (+ (* -1/720 (* x x)) 1/24) x) (+ (* -1/720 (* x x)) 1/24) -1/720 1/2)
2.0ms
y
@inf
((* (cos x) (/ (sinh y) y)) (cos x) 1 (/ (sinh y) y) (sinh y) (+ (* (* (* y y) 1/6) y) y) (* (* y y) 1/6) (* y y) y 1/6 (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (- (* 1/24 (* x x)) 1/2) (* (* x x) 1/24) (* x x) x 1/24 (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) (* (* (+ (* -1/720 (* x x)) 1/24) x) x) (* (+ (* -1/720 (* x x)) 1/24) x) (+ (* -1/720 (* x x)) 1/24) -1/720 1/2)
2.0ms
x
@0
((* (cos x) (/ (sinh y) y)) (cos x) 1 (/ (sinh y) y) (sinh y) (+ (* (* (* y y) 1/6) y) y) (* (* y y) 1/6) (* y y) y 1/6 (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (- (* 1/24 (* x x)) 1/2) (* (* x x) 1/24) (* x x) x 1/24 (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) (* (* (+ (* -1/720 (* x x)) 1/24) x) x) (* (+ (* -1/720 (* x x)) 1/24) x) (+ (* -1/720 (* x x)) 1/24) -1/720 1/2)

rewrite278.0ms (7.9%)

Memory
-33.9MiB live, 340.6MiB allocated; 112ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02742036
03031963
112531906
085821805
Stop Event
iter-limit
node-limit
iter-limit
Counts
117 → 379
Calls
Call 1
Inputs
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y y)) y))
#s(approx (cos x) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y y)) y)
#s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y y))
(fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y y)
(*.f64 (*.f64 y y) #s(literal 1/6 binary64))
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64))))
#s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64)))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#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))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(approx (- (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 #s(approx (- (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(approx (- (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))
#s(approx (- (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(*.f64 x x)
x
#s(literal 1/24 binary64)
#s(approx (* (cos x) (/ (sinh y) y)) #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 (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)))
(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))
(*.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)
(-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64))
(*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)
(*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
#s(literal -1/720 binary64)
#s(literal 1/2 binary64)
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (- (* 1/24 (* x x)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* 1/24 (* x x)) 1/2) #s(hole binary64 (- (* 1/24 (pow x 2)) 1/2)))
#s(approx (* (* x x) 1/24) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) #s(hole binary64 1))
#s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* -1/2 x)))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* x (- (* 1/24 (pow x 2)) 1/2))))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
#s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) #s(hole binary64 (- (* 1/24 (pow x 2)) 1/2)))
#s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) #s(hole binary64 (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
#s(approx (* (* (+ (* -1/720 (* x x)) 1/24) x) x) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (* (* (+ (* -1/720 (* x x)) 1/24) x) x) #s(hole binary64 (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) x) #s(hole binary64 (* 1/24 x)))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) x) #s(hole binary64 (* x (+ 1/24 (* -1/720 (pow x 2))))))
#s(approx (+ (* -1/720 (* x x)) 1/24) #s(hole binary64 1/24))
#s(approx (+ (* -1/720 (* x x)) 1/24) #s(hole binary64 (+ 1/24 (* -1/720 (pow x 2)))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* 1/24 (pow x 4))))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (* 1/24 (* x x)) 1/2) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (- (* 1/24 (* x x)) 1/2) #s(hole binary64 (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) #s(hole binary64 (* -1/720 (pow x 6))))
#s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) #s(hole binary64 (* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720))))
#s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) #s(hole binary64 (* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))))
#s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) #s(hole binary64 (* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4)))))))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* -1/720 (pow x 5))))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) 1/720))))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))))
#s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) #s(hole binary64 (* -1/720 (pow x 4))))
#s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) #s(hole binary64 (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))))
#s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) #s(hole binary64 (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))))
#s(approx (* (* (+ (* -1/720 (* x x)) 1/24) x) x) #s(hole binary64 (* -1/720 (pow x 4))))
#s(approx (* (* (+ (* -1/720 (* x x)) 1/24) x) x) #s(hole binary64 (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) x) #s(hole binary64 (* -1/720 (pow x 3))))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) x) #s(hole binary64 (* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))))
#s(approx (+ (* -1/720 (* x x)) 1/24) #s(hole binary64 (* -1/720 (pow x 2))))
#s(approx (+ (* -1/720 (* x x)) 1/24) #s(hole binary64 (* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* -1 (* (pow x 5) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (cos x)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (cos x) (* 1/6 (* (pow y 2) (cos x))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(hole binary64 (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))))
#s(approx (/ (sinh y) y) #s(hole binary64 1))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))
#s(approx (sinh y) #s(hole binary64 y))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2))))))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))))
#s(approx (+ (* (* (* y y) 1/6) y) y) #s(hole binary64 y))
#s(approx (+ (* (* (* y y) 1/6) y) y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2))))))
#s(approx (* (* y y) 1/6) #s(hole binary64 (* 1/6 (pow y 2))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx y #s(hole binary64 y))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (/ (sinh y) y) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
#s(approx (sinh y) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
#s(approx (+ (* (* (* y y) 1/6) y) y) #s(hole binary64 (* 1/6 (pow y 3))))
#s(approx (+ (* (* (* y y) 1/6) y) y) #s(hole binary64 (* (pow y 3) (+ 1/6 (/ 1 (pow y 2))))))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (* 1/6 (pow y 2))))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))))
Outputs
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y y)) y) #s(approx (cos x) #s(literal 1 binary64)))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y y)) y))
(/.f64 (neg.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y y)))) (neg.f64 y))
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y y))) y)
#s(approx (cos x) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (neg.f64 (neg.f64 #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y y)))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y y))) (neg.f64 y))
(/.f64 #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y y)) y)
(neg.f64 (/.f64 (neg.f64 #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y y))) y))
(neg.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y y)) (neg.f64 y)))
#s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y y))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64)))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) (*.f64 y y))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) y))
(*.f64 (*.f64 (*.f64 y y) y) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (*.f64 y y))) (-.f64 y (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64))))
(/.f64 (fma.f64 (*.f64 y y) y (pow.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (*.f64 y y)) (*.f64 y (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (*.f64 y y)) (*.f64 y y))) (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (*.f64 (*.f64 y y) y))) (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (*.f64 y y) (*.f64 y (-.f64 y (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (*.f64 y y)) (*.f64 y y)) (-.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (*.f64 y y) (*.f64 y (-.f64 y (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64))))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64)) y)
(fma.f64 (*.f64 y #s(literal 1/6 binary64)) (*.f64 y y) y)
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) (*.f64 y y) y)
(fma.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64) y)
(fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y y)
(fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)
(fma.f64 (*.f64 y y) (*.f64 #s(literal 1/6 binary64) y) y)
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) y) y)
(fma.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y)
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (*.f64 y y)) (-.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)))
(-.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 (*.f64 y y) y)))
(-.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 y y) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
(-.f64 y (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))
(-.f64 y (*.f64 (*.f64 (neg.f64 y) y) (*.f64 #s(literal 1/6 binary64) y)))
(-.f64 y (*.f64 (neg.f64 y) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (*.f64 y y) (*.f64 y (-.f64 y (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))))) (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (*.f64 y y) (*.f64 y (-.f64 y (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))))))
(+.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)
(+.f64 y (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))
(*.f64 (*.f64 #s(literal 1/6 binary64) (fabs.f64 y)) (fabs.f64 y))
(*.f64 (*.f64 #s(literal 1/6 binary64) (neg.f64 y)) (neg.f64 y))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64))
(*.f64 (*.f64 #s(literal 1/6 binary64) y) y)
(*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 y y) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
(*.f64 y (*.f64 y #s(literal 1/6 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))
(*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)))
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)))
(*.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(*.f64 (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))))
y
#s(literal 1/6 binary64)
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64))))
#s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64)))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64))
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) #s(approx (cos x) #s(literal 1 binary64)))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (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))
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#s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)))
#s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (*.f64 (*.f64 (*.f64 x x) x) x)))
#s(approx (* (* (+ (* -1/720 (* x x)) 1/24) x) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/720 binary64)) x))
#s(approx (* (* (+ (* -1/720 (* x x)) 1/24) x) x) (*.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/720 binary64)))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) x) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) x) (*.f64 x x)))
#s(approx (+ (* -1/720 (* x x)) 1/24) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))
#s(approx (+ (* -1/720 (* x x)) 1/24) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) x) x))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (neg.f64 (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (+.f64 #s(literal 1/720 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) x) (*.f64 (neg.f64 (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) x)))
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
#s(approx (* (cos x) (/ (sinh y) y)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (cos.f64 x)))
#s(approx (* (cos x) (/ (sinh y) y)) (fma.f64 (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (cos.f64 x)))
#s(approx (* (cos x) (/ (sinh y) y)) (fma.f64 (fma.f64 (*.f64 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) #s(literal 1 binary64))
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (/ (sinh y) y) (fma.f64 (*.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) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y y))
#s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))
#s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y))
#s(approx (+ (* (* (* y y) 1/6) y) y) y)
#s(approx (+ (* (* (* y y) 1/6) y) y) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y y))
#s(approx (* (* y y) 1/6) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))
#s(approx (* y y) (*.f64 y y))
#s(approx y y)
#s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64))
#s(approx (+ (* (* y y) 1/6) 1) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
#s(approx (/ (sinh y) y) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64)))
#s(approx (sinh y) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (* y y) 1/6) y) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))
#s(approx (+ (* (* (* y y) 1/6) y) y) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) 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)))

eval69.0ms (1.9%)

Memory
33.8MiB live, 84.8MiB allocated; 10ms collecting garbage
Compiler

Compiled 4 846 to 2 175 computations (55.1% saved)

prune21.0ms (0.6%)

Memory
-0.0MiB live, 44.3MiB allocated; 6ms collecting garbage
Pruning

18 alts after pruning (12 fresh and 6 done)

PrunedKeptTotal
New3729381
Fresh134
Picked325
Done044
Total37618394
Accuracy
100.0%
Counts
394 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
83.9%
(/.f64 (*.f64 #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y y)) (cos.f64 x)) y)
14.6%
(/.f64 (*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (sinh.f64 y)) y)
64.1%
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (sinh.f64 y)) y)
74.2%
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
49.5%
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
52.9%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (+.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) y))
29.2%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) #s(approx (+ (* (* (* y y) 1/6) y) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))) y))
45.4%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
31.4%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y)))
21.7%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
33.1%
#s(approx (/ (* (cos x) (sinh y)) y) #s(approx (cos x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
49.6%
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
35.2%
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))))
30.3%
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 #s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))))
32.7%
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(approx (- (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))))
10.2%
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/24 binary64)))))
26.7%
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64))))
12.0%
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/720 binary64)) (*.f64 (*.f64 x x) x)))))
Compiler

Compiled 549 to 440 computations (19.9% saved)

regimes45.0ms (1.3%)

Memory
12.8MiB live, 101.1MiB allocated; 8ms collecting garbage
Counts
31 → 1
Calls
Call 1
Inputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 #s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/24 binary64)))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(approx (- (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) #s(approx (+ (* (* (* y y) 1/6) y) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))) y))
#s(approx (/ (* (cos x) (sinh y)) y) #s(approx (cos x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y y)) y))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/720 binary64)) (*.f64 (*.f64 x x) x)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.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 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) y))
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (sinh.f64 y)) y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #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))))
(/.f64 (*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (sinh.f64 y)) y)
(*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (/.f64 (sinh.f64 y) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y))
#s(approx (* (cos x) (/ (sinh y) y)) (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))))
(/.f64 (*.f64 #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y y)) (cos.f64 x)) y)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) y)
Outputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Calls

5 calls:

11.0ms
(cos.f64 x)
10.0ms
y
9.0ms
x
7.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
6.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
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)

regimes43.0ms (1.2%)

Memory
-10.0MiB live, 91.7MiB allocated; 10ms collecting garbage
Counts
29 → 3
Calls
Call 1
Inputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 #s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/24 binary64)))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(approx (- (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) #s(approx (+ (* (* (* y y) 1/6) y) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))) y))
#s(approx (/ (* (cos x) (sinh y)) y) #s(approx (cos x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y y)) y))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/720 binary64)) (*.f64 (*.f64 x x) x)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.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 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) y))
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (sinh.f64 y)) y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #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))))
(/.f64 (*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (sinh.f64 y)) y)
(*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (/.f64 (sinh.f64 y) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y))
#s(approx (* (cos x) (/ (sinh y) y)) (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))))
(/.f64 (*.f64 #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y y)) (cos.f64 x)) y)
Outputs
(/.f64 (*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (sinh.f64 y)) y)
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (sinh.f64 y)) y)
Calls

5 calls:

12.0ms
y
9.0ms
(cos.f64 x)
8.0ms
x
6.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
6.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
89.1%2(/.f64 (sinh.f64 y) y)
92.1%2(cos.f64 x)
100.0%3(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
92.1%2x
96.9%3y
Compiler

Compiled 13 to 17 computations (-30.8% saved)

regimes10.0ms (0.3%)

Memory
-24.8MiB live, 20.5MiB allocated; 3ms collecting garbage
Counts
27 → 3
Calls
Call 1
Inputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 #s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/24 binary64)))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(approx (- (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) #s(approx (+ (* (* (* y y) 1/6) y) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))) y))
#s(approx (/ (* (cos x) (sinh y)) y) #s(approx (cos x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y y)) y))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/720 binary64)) (*.f64 (*.f64 x x) x)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.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 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) y))
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (sinh.f64 y)) y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #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))))
(/.f64 (*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (sinh.f64 y)) y)
(*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (/.f64 (sinh.f64 y) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y))
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
Outputs
(/.f64 (*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (sinh.f64 y)) y)
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (sinh.f64 y)) y)
Calls

1 calls:

9.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
99.9%3(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 6 to 6 computations (0% saved)

regimes36.0ms (1%)

Memory
41.2MiB live, 87.2MiB allocated; 3ms collecting garbage
Counts
26 → 2
Calls
Call 1
Inputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 #s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/24 binary64)))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(approx (- (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) #s(approx (+ (* (* (* y y) 1/6) y) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))) y))
#s(approx (/ (* (cos x) (sinh y)) y) #s(approx (cos x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y y)) y))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/720 binary64)) (*.f64 (*.f64 x x) x)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.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 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) y))
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (sinh.f64 y)) y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #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))))
(/.f64 (*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (sinh.f64 y)) y)
(*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (/.f64 (sinh.f64 y) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y))
Outputs
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y))
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (sinh.f64 y)) y)
Calls

5 calls:

10.0ms
x
7.0ms
y
7.0ms
(cos.f64 x)
6.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
5.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
65.0%1(/.f64 (sinh.f64 y) y)
77.8%2(cos.f64 x)
68.8%2x
66.9%2y
77.8%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 13 to 17 computations (-30.8% saved)

regimes40.0ms (1.1%)

Memory
-18.3MiB live, 36.6MiB allocated; 43ms collecting garbage
Counts
24 → 2
Calls
Call 1
Inputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 #s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/24 binary64)))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(approx (- (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) #s(approx (+ (* (* (* y y) 1/6) y) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))) y))
#s(approx (/ (* (cos x) (sinh y)) y) #s(approx (cos x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y y)) y))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/720 binary64)) (*.f64 (*.f64 x x) x)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.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 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) y))
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (sinh.f64 y)) y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #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))))
(/.f64 (*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (sinh.f64 y)) y)
(*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (/.f64 (sinh.f64 y) y))
Outputs
(/.f64 (*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (sinh.f64 y)) y)
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (sinh.f64 y)) y)
Calls

2 calls:

33.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
6.0ms
(cos.f64 x)
Results
AccuracySegmentsBranch
77.8%2(cos.f64 x)
77.8%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 8 to 9 computations (-12.5% saved)

regimes16.0ms (0.4%)

Memory
-19.4MiB live, 29.0MiB allocated; 8ms collecting garbage
Counts
22 → 2
Calls
Call 1
Inputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 #s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/24 binary64)))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(approx (- (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) #s(approx (+ (* (* (* y y) 1/6) y) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))) y))
#s(approx (/ (* (cos x) (sinh y)) y) #s(approx (cos x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y y)) y))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/720 binary64)) (*.f64 (*.f64 x x) x)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.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 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) y))
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (sinh.f64 y)) y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #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))))
Outputs
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (sinh.f64 y)) y)
Calls

2 calls:

9.0ms
(cos.f64 x)
5.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
75.6%2(cos.f64 x)
75.6%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 8 to 9 computations (-12.5% saved)

regimes11.0ms (0.3%)

Memory
27.0MiB live, 27.0MiB allocated; 0ms collecting garbage
Counts
19 → 2
Calls
Call 1
Inputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 #s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/24 binary64)))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(approx (- (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) #s(approx (+ (* (* (* y y) 1/6) y) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))) y))
#s(approx (/ (* (cos x) (sinh y)) y) #s(approx (cos x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y y)) y))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/720 binary64)) (*.f64 (*.f64 x x) x)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.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 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) y))
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (sinh.f64 y)) y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
Outputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/720 binary64)) (*.f64 (*.f64 x x) x)))))
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (sinh.f64 y)) y)
Calls

2 calls:

5.0ms
(cos.f64 x)
4.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
74.7%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
74.7%2(cos.f64 x)
Compiler

Compiled 8 to 9 computations (-12.5% saved)

regimes27.0ms (0.8%)

Memory
6.0MiB live, 51.5MiB allocated; 4ms collecting garbage
Counts
17 → 2
Calls
Call 1
Inputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 #s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/24 binary64)))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(approx (- (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) #s(approx (+ (* (* (* y y) 1/6) y) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))) y))
#s(approx (/ (* (cos x) (sinh y)) y) #s(approx (cos x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y y)) y))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/720 binary64)) (*.f64 (*.f64 x x) x)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.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 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) y))
Outputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/720 binary64)) (*.f64 (*.f64 x x) x)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y y)) y))
Calls

5 calls:

8.0ms
(cos.f64 x)
5.0ms
x
5.0ms
y
4.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
3.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
52.9%1(/.f64 (sinh.f64 y) y)
56.6%3y
58.5%3x
63.5%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
63.5%2(cos.f64 x)
Compiler

Compiled 13 to 17 computations (-30.8% saved)

regimes13.0ms (0.4%)

Memory
-27.3MiB live, 18.2MiB allocated; 5ms collecting garbage
Counts
14 → 2
Calls
Call 1
Inputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 #s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/24 binary64)))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(approx (- (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) #s(approx (+ (* (* (* y y) 1/6) y) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))) y))
#s(approx (/ (* (cos x) (sinh y)) y) #s(approx (cos x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y y)) y))
Outputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y y)) y))
Calls

2 calls:

8.0ms
(cos.f64 x)
3.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
58.8%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
58.8%2(cos.f64 x)
Compiler

Compiled 8 to 9 computations (-12.5% saved)

regimes8.0ms (0.2%)

Memory
24.8MiB live, 24.8MiB allocated; 0ms collecting garbage
Counts
13 → 3
Calls
Call 1
Inputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 #s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/24 binary64)))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(approx (- (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) #s(approx (+ (* (* (* y y) 1/6) y) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))) y))
#s(approx (/ (* (cos x) (sinh y)) y) #s(approx (cos x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
Outputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) #s(approx (+ (* (* (* y y) 1/6) y) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))) y))
Calls

2 calls:

4.0ms
(cos.f64 x)
3.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
53.0%3(cos.f64 x)
58.8%3(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 8 to 9 computations (-12.5% saved)

regimes19.0ms (0.5%)

Memory
-9.7MiB live, 42.1MiB allocated; 7ms collecting garbage
Counts
10 → 3
Calls
Call 1
Inputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 #s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/24 binary64)))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(approx (- (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))))
Outputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(approx (- (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
Calls

5 calls:

6.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
3.0ms
x
3.0ms
y
3.0ms
(cos.f64 x)
2.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
53.0%3(cos.f64 x)
45.4%1(/.f64 (sinh.f64 y) y)
49.2%3y
49.8%3x
51.2%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 13 to 17 computations (-30.8% saved)

regimes3.0ms (0.1%)

Memory
11.1MiB live, 11.1MiB allocated; 0ms collecting garbage
Counts
9 → 3
Calls
Call 1
Inputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 #s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/24 binary64)))))
Outputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/24 binary64)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
Calls

1 calls:

3.0ms
(cos.f64 x)
Results
AccuracySegmentsBranch
53.0%3(cos.f64 x)
Compiler

Compiled 2 to 3 computations (-50% saved)

regimes6.0ms (0.2%)

Memory
-34.7MiB live, 12.2MiB allocated; 1ms collecting garbage
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 #s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
Outputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
Calls

2 calls:

3.0ms
(cos.f64 x)
2.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
51.2%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
51.2%2(cos.f64 x)
Compiler

Compiled 8 to 9 computations (-12.5% saved)

regimes4.0ms (0.1%)

Memory
9.7MiB live, 9.7MiB allocated; 0ms collecting garbage
Counts
5 → 3
Calls
Call 1
Inputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 #s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
Outputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
Calls

2 calls:

2.0ms
(cos.f64 x)
2.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
36.5%3(cos.f64 x)
51.2%3(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 8 to 9 computations (-12.5% saved)

regimes9.0ms (0.2%)

Memory
25.7MiB live, 25.7MiB allocated; 0ms collecting garbage
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 #s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))))
Outputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64))))
Calls

5 calls:

2.0ms
y
2.0ms
x
2.0ms
(cos.f64 x)
1.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
1.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
32.5%2(cos.f64 x)
30.3%1(/.f64 (sinh.f64 y) y)
30.3%1y
30.3%1x
32.5%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 13 to 17 computations (-30.8% saved)

regimes8.0ms (0.2%)

Memory
-30.3MiB live, 15.1MiB allocated; 3ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
Outputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64))))
Calls

5 calls:

3.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
1.0ms
y
1.0ms
x
1.0ms
(cos.f64 x)
1.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
26.7%1x
26.7%1(/.f64 (sinh.f64 y) y)
26.7%1y
26.7%1(cos.f64 x)
26.7%1(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 13 to 17 computations (-30.8% saved)

bsearch0.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999999999334
1.0
0.0ms
-inf
-0.9999284305822632
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
0.9999999999999334
1.0
0.0ms
-inf
-0.9999284305822632
Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.06803655390050917
0.013665657144191944
Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.06803655390050917
0.013665657144191944
Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.04971390245165499
0.013665657144191944
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.04971390245165499
0.013665657144191944
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.04971390245165499
0.013665657144191944
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.04971390245165499
0.013665657144191944
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0
+inf
0.0ms
-0.06803655390050917
0.013665657144191944
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
0.9608298539293836
0.9714824608113258
0.0ms
-0.04971390245165499
0.013665657144191944
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9608298539293836
0.9714824608113258
0.0ms
-0.04971390245165499
0.013665657144191944
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.04971390245165499
0.013665657144191944
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0
+inf
0.0ms
-0.06803655390050917
0.013665657144191944
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
-0.06803655390050917
0.013665657144191944
Compiler

Compiled 9 to 11 computations (-22.2% saved)

derivations675.0ms (19.1%)

Memory
-5.7MiB live, 561.8MiB allocated; 186ms collecting garbage
Stop Event
fuel
Compiler

Compiled 216 to 133 computations (38.4% saved)

preprocess288.0ms (8.2%)

Memory
11.8MiB live, 391.0MiB allocated; 69ms collecting garbage
Remove

(abs y)

(abs x)

Compiler

Compiled 2 586 to 2 171 computations (16% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...