Linear.Quaternion:$csin from linear-1.19.1.3

Time bar (total: 3.0s)

start0.0ms (0%)

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

analyze33.0ms (1.1%)

Memory
-19.0MiB live, 30.7MiB allocated; 20ms 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)

sample925.0ms (30.7%)

Memory
30.6MiB live, 1 403.2MiB allocated; 172ms collecting garbage
Samples
651.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 384.0ms
ival-cos: 234.0ms (61% of total)
ival-sinh: 65.0ms (16.9% of total)
ival-div!: 47.0ms (12.3% of total)
ival-mult!: 36.0ms (9.4% of total)
adjust: 2.0ms (0.5% of total)
Bogosity

preprocess25.0ms (0.8%)

Memory
-16.3MiB live, 30.4MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01948
16246
216946
339846
4164446
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)

Compiler

Compiled 12 to 12 computations (0% saved)

series12.0ms (0.4%)

Memory
27.7MiB live, 27.7MiB 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)

rewrite168.0ms (5.6%)

Memory
11.4MiB live, 242.9MiB allocated; 17ms 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)))

eval21.0ms (0.7%)

Memory
-18.9MiB live, 28.7MiB allocated; 16ms collecting garbage
Compiler

Compiled 399 to 214 computations (46.4% saved)

prune3.0ms (0.1%)

Memory
12.2MiB live, 12.2MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New43548
Fresh000
Picked101
Done000
Total44549
Accuracy
100.0%
Counts
49 → 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))))
63.8%
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y))
63.2%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
50.7%
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
Compiler

Compiled 88 to 88 computations (0% saved)

series19.0ms (0.6%)

Memory
-19.5MiB live, 25.4MiB allocated; 10ms 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
11.0ms
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)
1.0ms
x
@-inf
((/ (* (sinh y) (cos x)) y) (* (sinh y) (cos x)) (sinh y) y (cos x) x (* (cos x) (/ (sinh y) y)) (cos x) 1 (/ (sinh y) y) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* -1/2 (* x x)) 1) -1/2 (* x x) (* (cos x) (/ (sinh y) y)) (* (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)

rewrite166.0ms (5.5%)

Memory
23.9MiB live, 210.1MiB allocated; 35ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01891273
02081226
19661068
086501024
Stop Event
iter-limit
node-limit
iter-limit
Counts
75 → 219
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 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (/.f64 (cos.f64 x) y)) #s(literal 2 binary64))
(/.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 (sinh.f64 (neg.f64 y)) #s(approx (cos x) #s(literal 1 binary64))) (neg.f64 y))
(/.f64 (*.f64 (sinh.f64 y) #s(approx (cos x) #s(literal 1 binary64))) y)
(/.f64 (*.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 (sinh.f64 (neg.f64 y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (neg.f64 y))
(/.f64 (*.f64 (sinh.f64 y) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) y)
(/.f64 (*.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))))
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#s(literal 1/6 binary64)
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#s(approx x x)
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#s(approx (+ (* -1/2 (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* -1/2 (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (/ (* (sinh y) (cos x)) y) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y)))
#s(approx (* (sinh y) (cos x)) (*.f64 (*.f64 (cos.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal 1/2 binary64)))
#s(approx (cos x) (cos.f64 x))
#s(approx (/ (* (sinh y) (cos x)) y) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y)))
#s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
#s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) x))
#s(approx (/ (* (sinh y) (cos x)) y) (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)))

eval26.0ms (0.9%)

Memory
9.8MiB live, 55.3MiB allocated; 7ms collecting garbage
Compiler

Compiled 1 962 to 873 computations (55.5% saved)

prune10.0ms (0.3%)

Memory
19.7MiB live, 19.7MiB allocated; 0ms collecting garbage
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New2319240
Fresh000
Picked325
Done000
Total23411245
Accuracy
100.0%
Counts
245 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.8%
(/.f64 (*.f64 (sinh.f64 y) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) y)
63.2%
(/.f64 (*.f64 (sinh.f64 y) #s(approx (cos x) #s(literal 1 binary64))) y)
85.4%
(/.f64 (*.f64 #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y 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))))
33.0%
(*.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)))
15.8%
(*.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))
52.1%
(*.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))
28.2%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
50.7%
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
36.2%
#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))))
38.9%
#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)

series42.0ms (1.4%)

Memory
-15.1MiB live, 32.3MiB allocated; 3ms collecting garbage
Counts
31 → 67
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 (sinh.f64 y) #s(approx (cos x) #s(literal 1 binary64))) y)
(*.f64 (sinh.f64 y) #s(approx (cos x) #s(literal 1 binary64)))
(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 (+ (* -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 (+ (* -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 (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 (/ (* (sinh y) (cos x)) y) (* (sinh y) (cos x)) (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 (/ (* (sinh y) (cos x)) y) (* (sinh y) (cos x)) (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
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 (/ (* (sinh y) (cos x)) y) (* (sinh y) (cos x)) (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 (/ (* (sinh y) (cos x)) y) (* (sinh y) (cos x)) (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
@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 (/ (* (sinh y) (cos x)) y) (* (sinh y) (cos x)) (sinh y) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* -1/2 (* x x)) 1) (* (* x x) -1/2) -1/2 (/ (sinh y) y))

rewrite261.0ms (8.7%)

Memory
-23.4MiB live, 238.0MiB allocated; 112ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02291629
02581577
111331395
090351309
Stop Event
iter-limit
node-limit
iter-limit
Counts
98 → 278
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 (sinh.f64 y) #s(approx (cos x) #s(literal 1 binary64))) y)
(*.f64 (sinh.f64 y) #s(approx (cos x) #s(literal 1 binary64)))
(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 (+ (* -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 (+ (* -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 (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 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) y))
(*.f64 (*.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 (*.f64 y y) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64))))
(*.f64 y (*.f64 (*.f64 y y) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64))))
(*.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 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y) 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 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1/6 binary64)) y)
(fma.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) (*.f64 #s(literal 1/6 binary64) y)) y)
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 #s(literal 1/6 binary64) 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)
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) y) y)
(fma.f64 y (*.f64 (*.f64 y #s(literal 1/6 binary64)) y) y)
(fma.f64 y (*.f64 y (*.f64 #s(literal 1/6 binary64) 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) #s(literal 1/6 binary64)) y) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y) y)))
(-.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 (*.f64 y y) y)))
(-.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y) (*.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) #s(literal 1/6 binary64)) y) #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) #s(literal 1/6 binary64)) y))))) (/.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) #s(literal 1/6 binary64)) y))))))
(+.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y) y)
(+.f64 y (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y))
(*.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 (fabs.f64 y) (*.f64 (fabs.f64 y) #s(literal 1/6 binary64)))
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 1/6 binary64)))
(*.f64 (*.f64 y y) #s(literal 1/6 binary64))
(*.f64 #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 (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)
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(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 (* (sinh y) (cos x)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))
#s(approx (* (sinh y) (cos x)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (* (sinh y) (cos x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal -1/4 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))))
#s(approx (* (sinh y) (cos x)) (fma.f64 (*.f64 #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 (+ (* -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 (* (sinh y) (cos x)) (*.f64 (*.f64 (cos.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal 1/2 binary64)))
#s(approx (cos x) (cos.f64 x))
#s(approx (* (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 (+ (* -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 (* (sinh y) (cos x)) (*.f64 (cos.f64 x) y))
#s(approx (* (sinh y) (cos x)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (cos.f64 x)) y))
#s(approx (* (sinh y) (cos x)) (*.f64 (fma.f64 (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (cos.f64 x)) y))
#s(approx (* (sinh y) (cos x)) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (cos.f64 x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) y) y) y) y)) y))
#s(approx (sinh y) y)
#s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))
#s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))
#s(approx (sinh y) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y))
#s(approx (+ (* (* (* 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 (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)))

eval32.0ms (1.1%)

Memory
-23.1MiB live, 69.3MiB allocated; 6ms collecting garbage
Compiler

Compiled 2 635 to 1 338 computations (49.2% saved)

prune12.0ms (0.4%)

Memory
26.2MiB live, 26.2MiB allocated; 0ms collecting garbage
Pruning

15 alts after pruning (11 fresh and 4 done)

PrunedKeptTotal
New2799288
Fresh224
Picked325
Done022
Total28415299
Accuracy
100.0%
Counts
299 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.2%
(/.f64 (*.f64 (sinh.f64 y) #s(approx (cos x) #s(literal 1 binary64))) y)
85.4%
(/.f64 (*.f64 #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y y)) (cos.f64 x)) y)
15.8%
(/.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)
63.2%
(*.f64 (sinh.f64 y) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) 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))))
52.1%
(*.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))
43.8%
(*.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))))
50.7%
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
36.2%
#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))))
38.9%
#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))))
35.8%
#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))))
33.0%
#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)))))
11.2%
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x)))))
12.2%
#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)))))
28.2%
#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 440 to 412 computations (6.4% saved)

series30.0ms (1%)

Memory
-20.6MiB live, 26.4MiB allocated; 3ms collecting garbage
Counts
27 → 62
Calls
Call 1
Inputs
(*.f64 (sinh.f64 y) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) y))
(sinh.f64 y)
y
(/.f64 #s(approx (cos x) #s(literal 1 binary64)) y)
#s(approx (cos x) #s(literal 1 binary64))
#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))))
#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))
(*.f64 y y)
#s(literal 1/6 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)
(*.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 #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))
Outputs
#s(approx (* (sinh y) (/ (cos x) y)) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
#s(approx (* (sinh y) (/ (cos x) y)) #s(hole binary64 (+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))))
#s(approx (* (sinh y) (/ (cos x) y)) #s(hole binary64 (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))))
#s(approx (* (sinh y) (/ (cos x) y)) #s(hole binary64 (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))))
#s(approx (/ (cos x) y) #s(hole binary64 (/ 1 y)))
#s(approx (/ (cos x) y) #s(hole binary64 (+ (* -1/2 (/ (pow x 2) y)) (/ 1 y))))
#s(approx (/ (cos x) y) #s(hole binary64 (+ (* (pow x 2) (- (* 1/24 (/ (pow x 2) y)) (* 1/2 (/ 1 y)))) (/ 1 y))))
#s(approx (/ (cos x) y) #s(hole binary64 (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/720 (/ (pow x 2) y)) (* 1/24 (/ 1 y)))) (* 1/2 (/ 1 y)))) (/ 1 y))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (* (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 (* (* 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 (* (sinh y) (/ (cos x) y)) #s(hole binary64 (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))))
#s(approx (/ (cos x) y) #s(hole binary64 (/ (cos x) y)))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* (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 (* (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) #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 (+ (* (* (* 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 (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))))))
#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))))))
Calls

6 calls:

TimeVariablePointExpression
18.0ms
y
@-inf
((* (sinh y) (/ (cos x) y)) (sinh y) y (/ (cos x) y) (cos x) 1 (* (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) (* y y) 1/6 (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (- (* 1/24 (* x x)) 1/2) (* (* x x) 1/24) (* x x) x 1/24 (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (sinh y) (+ (* (* (* y y) 1/6) y) y) (* (* y y) 1/6))
3.0ms
y
@inf
((* (sinh y) (/ (cos x) y)) (sinh y) y (/ (cos x) y) (cos x) 1 (* (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) (* y y) 1/6 (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (- (* 1/24 (* x x)) 1/2) (* (* x x) 1/24) (* x x) x 1/24 (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (sinh y) (+ (* (* (* y y) 1/6) y) y) (* (* y y) 1/6))
2.0ms
x
@inf
((* (sinh y) (/ (cos x) y)) (sinh y) y (/ (cos x) y) (cos x) 1 (* (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) (* y y) 1/6 (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (- (* 1/24 (* x x)) 1/2) (* (* x x) 1/24) (* x x) x 1/24 (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (sinh y) (+ (* (* (* y y) 1/6) y) y) (* (* y y) 1/6))
2.0ms
x
@-inf
((* (sinh y) (/ (cos x) y)) (sinh y) y (/ (cos x) y) (cos x) 1 (* (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) (* y y) 1/6 (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (- (* 1/24 (* x x)) 1/2) (* (* x x) 1/24) (* x x) x 1/24 (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (sinh y) (+ (* (* (* y y) 1/6) y) y) (* (* y y) 1/6))
1.0ms
y
@0
((* (sinh y) (/ (cos x) y)) (sinh y) y (/ (cos x) y) (cos x) 1 (* (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) (* y y) 1/6 (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (- (* 1/24 (* x x)) 1/2) (* (* x x) 1/24) (* x x) x 1/24 (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (sinh y) (+ (* (* (* y y) 1/6) y) y) (* (* y y) 1/6))

rewrite169.0ms (5.6%)

Memory
35.0MiB live, 223.0MiB allocated; 18ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02171495
02371445
110861344
086091262
Stop Event
iter-limit
node-limit
iter-limit
Counts
89 → 264
Calls
Call 1
Inputs
(*.f64 (sinh.f64 y) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) y))
(sinh.f64 y)
y
(/.f64 #s(approx (cos x) #s(literal 1 binary64)) y)
#s(approx (cos x) #s(literal 1 binary64))
#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))))
#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))
(*.f64 y y)
#s(literal 1/6 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)
(*.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 #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))
#s(approx (* (sinh y) (/ (cos x) y)) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
#s(approx (* (sinh y) (/ (cos x) y)) #s(hole binary64 (+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))))
#s(approx (* (sinh y) (/ (cos x) y)) #s(hole binary64 (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))))
#s(approx (* (sinh y) (/ (cos x) y)) #s(hole binary64 (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))))
#s(approx (/ (cos x) y) #s(hole binary64 (/ 1 y)))
#s(approx (/ (cos x) y) #s(hole binary64 (+ (* -1/2 (/ (pow x 2) y)) (/ 1 y))))
#s(approx (/ (cos x) y) #s(hole binary64 (+ (* (pow x 2) (- (* 1/24 (/ (pow x 2) y)) (* 1/2 (/ 1 y)))) (/ 1 y))))
#s(approx (/ (cos x) y) #s(hole binary64 (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/720 (/ (pow x 2) y)) (* 1/24 (/ 1 y)))) (* 1/2 (/ 1 y)))) (/ 1 y))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (* (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 (* (* 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 (* (sinh y) (/ (cos x) y)) #s(hole binary64 (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))))
#s(approx (/ (cos x) y) #s(hole binary64 (/ (cos x) y)))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* (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 (* (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) #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 (+ (* (* (* 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 (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))))))
#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))))))
Outputs
(*.f64 (sinh.f64 y) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) y))
(*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) y) (sinh.f64 y))
(/.f64 (neg.f64 (*.f64 (sinh.f64 y) #s(approx (cos x) #s(literal 1 binary64)))) (neg.f64 y))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (neg.f64 #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 #s(literal 2 binary64) (neg.f64 y)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) y))
(/.f64 (*.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (*.f64 (neg.f64 y) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (*.f64 y #s(literal 2 binary64)))
(/.f64 (*.f64 (sinh.f64 y) #s(approx (cos x) #s(literal 1 binary64))) y)
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 2 binary64))
(sinh.f64 y)
(-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64)))
y
(/.f64 (neg.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64)))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (neg.f64 y))
(/.f64 #s(approx (cos x) #s(literal 1 binary64)) y)
(neg.f64 (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) y))
(neg.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 y)))
#s(approx (cos x) #s(literal 1 binary64))
#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))))
#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))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y)
(*.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64))))
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y))
(*.f64 (*.f64 y y) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)))
(*.f64 y (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))))
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(/.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 (*.f64 (*.f64 (*.f64 y 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) 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 #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 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1/6 binary64)) y)
(fma.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) (*.f64 #s(literal 1/6 binary64) y)) y)
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 #s(literal 1/6 binary64) 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)
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) y) y)
(fma.f64 y (*.f64 (*.f64 y #s(literal 1/6 binary64)) y) y)
(fma.f64 y (*.f64 y (*.f64 #s(literal 1/6 binary64) 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 binary64) (*.f64 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 1/6 binary64) y) y)
(*.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) #s(literal 1/6 binary64)))
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 1/6 binary64)))
(*.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 (*.f64 y y) #s(literal 1 binary64)))
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))
(*.f64 y (*.f64 (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 y (*.f64 y #s(literal 1/6 binary64)))
#s(approx (* (sinh y) (/ (cos x) y)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64)))
#s(approx (* (sinh y) (/ (cos x) y)) (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))) y))
#s(approx (* (sinh y) (/ (cos x) y)) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) y) (*.f64 x x) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64))))
#s(approx (* (sinh y) (/ (cos x) y)) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 #s(literal -1/1440 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) x) x))) y) (*.f64 x x) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal -1/4 binary64))) (*.f64 x x))))
#s(approx (/ (cos x) y) (/.f64 #s(literal 1 binary64) y))
#s(approx (/ (cos x) y) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y))
#s(approx (/ (cos x) y) (fma.f64 (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64)) y) x) x (/.f64 #s(literal 1 binary64) y)))
#s(approx (/ (cos x) y) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) y) x) x) (/.f64 #s(literal 1/2 binary64) y)) x) x (/.f64 #s(literal 1 binary64) y)))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64)) #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 (* (cos x) (/ (sinh y) y)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))) y))
#s(approx (* (cos x) (/ (sinh y) y)) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) y) (*.f64 x x) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 #s(literal -1/1440 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) x) x))) y) (*.f64 x x) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal -1/4 binary64))) (*.f64 x x))))
#s(approx (+ (* (- (* 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 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64)) #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 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64)))
#s(approx (* (* x x) 1/24) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (* (sinh y) (/ (cos x) y)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y)))
#s(approx (/ (cos x) y) (/.f64 (cos.f64 x) y))
#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 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #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) (*.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 (* (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(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 (* (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 (+ (* (* 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 (+ (* (* (* 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 (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)))
#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) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))

eval35.0ms (1.2%)

Memory
-6.1MiB live, 95.9MiB allocated; 9ms collecting garbage
Compiler

Compiled 2 793 to 1 245 computations (55.4% saved)

prune18.0ms (0.6%)

Memory
-2.6MiB live, 44.7MiB allocated; 2ms collecting garbage
Pruning

21 alts after pruning (15 fresh and 6 done)

PrunedKeptTotal
New27210282
Fresh156
Picked325
Done044
Total27621297
Accuracy
100.0%
Counts
297 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.2%
(/.f64 (*.f64 (sinh.f64 y) #s(approx (cos x) #s(literal 1 binary64))) y)
85.4%
(/.f64 (*.f64 #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y y)) (cos.f64 x)) y)
15.8%
(/.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)
63.7%
(*.f64 (sinh.f64 y) (/.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) 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))))
28.1%
(*.f64 #s(approx (sinh y) y) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) y))
50.2%
(*.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))))
52.1%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) y))
33.2%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) y))) y))
26.9%
(*.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))
43.8%
(*.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))))
30.3%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y))))
30.9%
(*.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)))
18.7%
(*.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)))))
50.7%
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
36.2%
#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))))
38.9%
#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))))
35.8%
#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))))
33.0%
#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)))))
12.2%
#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)))))
28.2%
#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 575 to 457 computations (20.5% saved)

regimes50.0ms (1.7%)

Memory
-34.5MiB live, 112.9MiB allocated; 13ms collecting garbage
Counts
34 → 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)))
(*.f64 #s(approx (sinh y) y) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) y))
#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) #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 y y) (*.f64 y #s(literal 1/6 binary64)) y)) y))
(*.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 #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)) #s(approx (/ (sinh y) y) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y))))
(/.f64 (*.f64 (sinh.f64 y) #s(approx (cos x) #s(literal 1 binary64))) y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) 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) #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)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) y))) y))
#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 (sinh.f64 y) (/.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y))
(/.f64 (*.f64 (sinh.f64 y) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) y)
#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:

12.0ms
y
11.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
9.0ms
x
8.0ms
(cos.f64 x)
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)

regimes40.0ms (1.3%)

Memory
8.7MiB live, 103.4MiB allocated; 2ms collecting garbage
Counts
32 → 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)))
(*.f64 #s(approx (sinh y) y) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) y))
#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) #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 y y) (*.f64 y #s(literal 1/6 binary64)) y)) y))
(*.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 #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)) #s(approx (/ (sinh y) y) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y))))
(/.f64 (*.f64 (sinh.f64 y) #s(approx (cos x) #s(literal 1 binary64))) y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) 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) #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)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) y))) y))
#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 (sinh.f64 y) (/.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y))
(/.f64 (*.f64 (sinh.f64 y) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) y)
#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 (sinh.f64 y) #s(approx (cos x) #s(literal 1 binary64))) y)
Calls

5 calls:

8.0ms
x
8.0ms
y
8.0ms
(cos.f64 x)
7.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
7.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
87.9%2(/.f64 (sinh.f64 y) y)
93.6%2(cos.f64 x)
100.0%3(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
93.6%2x
97.3%5y
Compiler

Compiled 13 to 17 computations (-30.8% saved)

regimes8.0ms (0.3%)

Memory
22.2MiB live, 22.2MiB allocated; 0ms collecting garbage
Counts
30 → 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)))
(*.f64 #s(approx (sinh y) y) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) y))
#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) #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 y y) (*.f64 y #s(literal 1/6 binary64)) y)) y))
(*.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 #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)) #s(approx (/ (sinh y) y) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y))))
(/.f64 (*.f64 (sinh.f64 y) #s(approx (cos x) #s(literal 1 binary64))) y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) 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) #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)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) y))) y))
#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 (sinh.f64 y) (/.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y))
(/.f64 (*.f64 (sinh.f64 y) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) y)
#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 (sinh.f64 y) #s(approx (cos x) #s(literal 1 binary64))) y)
Calls

1 calls:

6.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
99.8%3(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 6 to 6 computations (0% saved)

regimes37.0ms (1.2%)

Memory
-2.7MiB live, 93.8MiB allocated; 4ms collecting garbage
Counts
29 → 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)))
(*.f64 #s(approx (sinh y) y) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) y))
#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) #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 y y) (*.f64 y #s(literal 1/6 binary64)) y)) y))
(*.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 #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)) #s(approx (/ (sinh y) y) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y))))
(/.f64 (*.f64 (sinh.f64 y) #s(approx (cos x) #s(literal 1 binary64))) y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) 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) #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)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) y))) y))
#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 (sinh.f64 y) (/.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y))
(/.f64 (*.f64 (sinh.f64 y) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) y)
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 (sinh.f64 y) #s(approx (cos x) #s(literal 1 binary64))) y)
Calls

5 calls:

8.0ms
y
8.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
7.0ms
x
7.0ms
(cos.f64 x)
5.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
65.6%2(/.f64 (sinh.f64 y) y)
66.0%2y
65.7%2x
78.1%2(cos.f64 x)
78.1%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 13 to 17 computations (-30.8% saved)

regimes13.0ms (0.4%)

Memory
-11.6MiB live, 35.7MiB allocated; 1ms 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)))
(*.f64 #s(approx (sinh y) y) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) y))
#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) #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 y y) (*.f64 y #s(literal 1/6 binary64)) y)) y))
(*.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 #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)) #s(approx (/ (sinh y) y) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y))))
(/.f64 (*.f64 (sinh.f64 y) #s(approx (cos x) #s(literal 1 binary64))) y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) 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) #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)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) y))) y))
#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 (sinh.f64 y) #s(approx (cos x) #s(literal 1 binary64))) y)
Calls

2 calls:

7.0ms
(cos.f64 x)
5.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
77.7%2(cos.f64 x)
77.7%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 8 to 9 computations (-12.5% saved)

regimes11.0ms (0.4%)

Memory
-15.5MiB live, 32.1MiB allocated; 1ms collecting garbage
Counts
20 → 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)))
(*.f64 #s(approx (sinh y) y) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) y))
#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) #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 y y) (*.f64 y #s(literal 1/6 binary64)) y)) y))
(*.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 #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)) #s(approx (/ (sinh y) y) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y))))
(/.f64 (*.f64 (sinh.f64 y) #s(approx (cos x) #s(literal 1 binary64))) y)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) 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 (*.f64 (sinh.f64 y) #s(approx (cos x) #s(literal 1 binary64))) y)
Calls

2 calls:

5.0ms
(cos.f64 x)
4.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
70.7%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
70.7%2(cos.f64 x)
Compiler

Compiled 8 to 9 computations (-12.5% saved)

regimes27.0ms (0.9%)

Memory
27.3MiB live, 73.8MiB allocated; 5ms 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)))
(*.f64 #s(approx (sinh y) y) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) y))
#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) #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 y y) (*.f64 y #s(literal 1/6 binary64)) y)) y))
(*.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 #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)) #s(approx (/ (sinh y) y) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 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 y y) (*.f64 y #s(literal 1/6 binary64)) y)) y))
Calls

5 calls:

10.0ms
x
5.0ms
y
4.0ms
(cos.f64 x)
4.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
3.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
52.1%1(/.f64 (sinh.f64 y) y)
54.5%2x
52.1%1y
59.5%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
59.5%2(cos.f64 x)
Compiler

Compiled 13 to 17 computations (-30.8% saved)

regimes19.0ms (0.6%)

Memory
-13.2MiB live, 26.9MiB allocated; 13ms 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)))
(*.f64 #s(approx (sinh y) y) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) y))
#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) #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)))))
(*.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)) (/.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:

15.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
4.0ms
(cos.f64 x)
Results
AccuracySegmentsBranch
59.5%3(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
54.8%3(cos.f64 x)
Compiler

Compiled 8 to 9 computations (-12.5% saved)

regimes24.0ms (0.8%)

Memory
9.6MiB live, 52.7MiB allocated; 10ms 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)))
(*.f64 #s(approx (sinh y) y) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) y))
#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) #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) #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

5 calls:

12.0ms
(/.f64 (sinh.f64 y) y)
3.0ms
x
3.0ms
y
3.0ms
(cos.f64 x)
3.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
54.8%3(cos.f64 x)
43.8%1(/.f64 (sinh.f64 y) y)
46.9%3y
47.9%2x
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
8.4MiB live, 8.4MiB allocated; 0ms 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)))
(*.f64 #s(approx (sinh y) y) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) y))
#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) #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

1 calls:

2.0ms
(cos.f64 x)
Results
AccuracySegmentsBranch
51.2%2(cos.f64 x)
Compiler

Compiled 2 to 3 computations (-50% saved)

regimes4.0ms (0.1%)

Memory
11.1MiB live, 11.1MiB 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)))
(*.f64 #s(approx (sinh y) y) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) y))
#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) #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
51.2%3(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
39.4%3(cos.f64 x)
Compiler

Compiled 8 to 9 computations (-12.5% saved)

regimes9.0ms (0.3%)

Memory
-25.0MiB live, 23.1MiB allocated; 1ms 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)))
(*.f64 #s(approx (sinh y) y) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) y))
#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)))))
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
(/.f64 (sinh.f64 y) y)
2.0ms
y
2.0ms
x
2.0ms
(cos.f64 x)
1.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
35.6%2(cos.f64 x)
34.8%2(/.f64 (sinh.f64 y) y)
33.0%1y
33.0%1x
35.6%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 13 to 17 computations (-30.8% saved)

regimes7.0ms (0.2%)

Memory
21.0MiB live, 21.0MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0.1%)

Threshold costs -0b (-0.1%)

Counts
3 → 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)))
(*.f64 #s(approx (sinh y) y) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) y))
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:

1.0ms
y
1.0ms
x
1.0ms
(cos.f64 x)
1.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
1.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
28.2%1x
28.2%1y
28.2%1(/.f64 (sinh.f64 y) y)
28.2%1(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
28.2%1(cos.f64 x)
Compiler

Compiled 13 to 17 computations (-30.8% saved)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999855652147
1.0
0.0ms
-inf
-0.9991766372348827
Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999855652147
1.0
0.0ms
-inf
-0.9991766372348827
Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.0003895845826532596
0.039944899857745575
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
-0.0003895845826532596
0.0006148873941137602
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
-0.0003895845826532596
0.0006148873941137602
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
-0.0003895845826532596
0.0006148873941137602
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
10.644910598228044
+inf
0.0ms
-0.0003895845826532596
0.039944899857745575
Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9647083169109671
0.9786092110246922
0.0ms
-0.0003895845826532596
0.0006148873941137602
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.0003895845826532596
0.0006148873941137602
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0
10.644910598228044
0.0ms
-0.0003895845826532596
0.039944899857745575
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
-0.0003895845826532596
0.0006148873941137602
Compiler

Compiled 10 to 11 computations (-10% saved)

derivations584.0ms (19.4%)

Memory
-22.9MiB live, 505.2MiB allocated; 101ms collecting garbage
Stop Event
fuel
Compiler

Compiled 168 to 110 computations (34.5% saved)

preprocess160.0ms (5.3%)

Memory
24.2MiB live, 287.5MiB allocated; 90ms collecting garbage
Remove

(abs x)

Compiler

Compiled 1 096 to 914 computations (16.6% saved)

end0.0ms (0%)

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

Profiling

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