Linear.Quaternion:$csinh from linear-1.19.1.3

Time bar (total: 3.4s)

start0.0ms (0%)

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

analyze15.0ms (0.5%)

Memory
33.9MiB live, 33.9MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
93.8%93.7%6.2%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
96.9%96.8%3.1%0.1%0%0%0%12
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.2s (34.2%)

Memory
-44.3MiB live, 1 591.3MiB allocated; 389ms collecting garbage
Samples
863.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 625.0ms
ival-sin: 261.0ms (41.7% of total)
ival-cosh: 166.0ms (26.5% of total)
ival-div!: 117.0ms (18.7% of total)
ival-mult!: 80.0ms (12.8% of total)
adjust: 1.0ms (0.2% of total)
Bogosity

preprocess64.0ms (1.9%)

Memory
4.6MiB live, 49.5MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01944
15544
221944
386444
4732544
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Symmetry

(abs x)

(abs y)

Compiler

Compiled 14 to 12 computations (14.3% saved)

series12.0ms (0.3%)

Memory
36.8MiB live, 36.8MiB allocated; 0ms collecting garbage
Counts
6 → 22
Calls
Call 1
Inputs
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(cosh.f64 x)
x
(/.f64 (sin.f64 y) y)
(sin.f64 y)
y
Outputs
#s(approx (* (cosh x) (/ (sin y) y)) #s(hole binary64 (/ (sin y) y)))
#s(approx (* (cosh x) (/ (sin y) y)) #s(hole binary64 (+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(hole binary64 (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(hole binary64 (+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))))
#s(approx (cosh x) #s(hole binary64 1))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx x #s(hole binary64 x))
#s(approx (* (cosh x) (/ (sin y) y)) #s(hole binary64 (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(hole binary64 (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(hole binary64 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(hole binary64 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))))
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* -1/6 (pow y 2)))))
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))
#s(approx (sin y) #s(hole binary64 y))
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* -1/6 (pow y 2))))))
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))))
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))))
#s(approx (sin y) #s(hole binary64 (sin y)))
Calls

6 calls:

TimeVariablePointExpression
3.0ms
y
@inf
((* (cosh x) (/ (sin y) y)) (cosh x) x (/ (sin y) y) (sin y) y)
2.0ms
x
@-inf
((* (cosh x) (/ (sin y) y)) (cosh x) x (/ (sin y) y) (sin y) y)
2.0ms
x
@inf
((* (cosh x) (/ (sin y) y)) (cosh x) x (/ (sin y) y) (sin y) y)
2.0ms
y
@-inf
((* (cosh x) (/ (sin y) y)) (cosh x) x (/ (sin y) y) (sin y) y)
1.0ms
x
@0
((* (cosh x) (/ (sin y) y)) (cosh x) x (/ (sin y) y) (sin y) y)

rewrite197.0ms (5.8%)

Memory
-14.5MiB live, 311.7MiB allocated; 51ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0111472
0115461
1665417
06494391
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
28 → 52
Calls
Call 1
Inputs
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(cosh.f64 x)
x
(/.f64 (sin.f64 y) y)
(sin.f64 y)
y
#s(approx (* (cosh x) (/ (sin y) y)) #s(hole binary64 (/ (sin y) y)))
#s(approx (* (cosh x) (/ (sin y) y)) #s(hole binary64 (+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(hole binary64 (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(hole binary64 (+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))))
#s(approx (cosh x) #s(hole binary64 1))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx x #s(hole binary64 x))
#s(approx (* (cosh x) (/ (sin y) y)) #s(hole binary64 (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(hole binary64 (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(hole binary64 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(hole binary64 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))))
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* -1/6 (pow y 2)))))
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))
#s(approx (sin y) #s(hole binary64 y))
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* -1/6 (pow y 2))))))
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))))
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))))
#s(approx (sin y) #s(hole binary64 (sin y)))
Outputs
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(/.f64 (*.f64 (cosh.f64 x) (neg.f64 (sin.f64 y))) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) (neg.f64 y))
(/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)
(/.f64 (*.f64 (sin.f64 y) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) (*.f64 (neg.f64 y) #s(literal 2 binary64)))
(/.f64 (*.f64 (sin.f64 y) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) (*.f64 #s(literal 2 binary64) (neg.f64 y)))
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) (sin.f64 y)) #s(literal 2 binary64))
(/.f64 (*.f64 (sin.f64 y) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 y #s(literal 2 binary64)))
(/.f64 (*.f64 (sin.f64 y) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 #s(literal 2 binary64) y))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -2 binary64))
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)))
(/.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (*.f64 (+.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (exp.f64 (+.f64 x x))) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(cosh.f64 (neg.f64 (neg.f64 x)))
(cosh.f64 (neg.f64 x))
(cosh.f64 x)
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
x
(/.f64 (neg.f64 (neg.f64 (sin.f64 y))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 y))
(/.f64 (sin.f64 y) y)
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 (sin.f64 y)) y))
(sin.f64 y)
y
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y))
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 y) x) x) #s(literal 1/2 binary64) (sin.f64 y)) y))
#s(approx (* (cosh x) (/ (sin y) y)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (sin.f64 y) x) x) (*.f64 (sin.f64 y) #s(literal 1/2 binary64))) y) (*.f64 x x) (/.f64 (sin.f64 y) y)))
#s(approx (* (cosh x) (/ (sin y) y)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 (sin.f64 y) x) x) (*.f64 (sin.f64 y) #s(literal 1/24 binary64))) y) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 y) y))) (*.f64 x x) (/.f64 (sin.f64 y) y)))
#s(approx (cosh x) #s(literal 1 binary64))
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh 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 (* (cosh x) (/ (sin y) y)) (*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y)))
#s(approx (cosh x) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64)))
#s(approx (* (cosh x) (/ (sin y) y)) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (fma.f64 #s(literal 1/240 binary64) (*.f64 y y) #s(literal -1/12 binary64))) y) y (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (fma.f64 #s(literal -1/10080 binary64) (*.f64 y y) #s(literal 1/240 binary64))) y) y) y) y)))
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (/ (sin y) y) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))
#s(approx (sin y) y)
#s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))
#s(approx (sin y) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))
#s(approx (sin y) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y))
#s(approx (sin y) (sin.f64 y))

eval5.0ms (0.2%)

Memory
18.3MiB live, 18.3MiB allocated; 0ms collecting garbage
Compiler

Compiled 723 to 198 computations (72.6% saved)

prune7.0ms (0.2%)

Memory
-30.8MiB live, 15.1MiB allocated; 5ms collecting garbage
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New40646
Fresh000
Picked101
Done000
Total41647
Accuracy
99.9%
Counts
47 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.4%
(*.f64 (cosh.f64 x) (/.f64 #s(approx (sin y) y) y))
67.2%
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
67.2%
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))))
67.1%
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
50.7%
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y))
99.8%
#s(approx (* (cosh x) (/ (sin y) y)) (*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y)))
Compiler

Compiled 198 to 148 computations (25.3% saved)

series15.0ms (0.4%)

Memory
46.4MiB live, 46.4MiB allocated; 0ms collecting garbage
Counts
29 → 47
Calls
Call 1
Inputs
#s(approx (* (cosh x) (/ (sin y) y)) (*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y)))
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y))
(*.f64 (sin.f64 y) #s(literal 1/2 binary64))
(sin.f64 y)
y
#s(literal 1/2 binary64)
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y)
(*.f64 #s(literal 2 binary64) (cosh.f64 x))
#s(literal 2 binary64)
(cosh.f64 x)
x
(*.f64 (cosh.f64 x) (/.f64 #s(approx (sin y) y) y))
(/.f64 #s(approx (sin y) y) y)
#s(approx (sin y) y)
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
#s(literal -1/6 binary64)
(*.f64 y y)
#s(literal 1 binary64)
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/120 binary64) (*.f64 y y))
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) y)
Outputs
#s(approx (* (cosh x) (/ (sin y) y)) #s(hole binary64 (/ (sin y) y)))
#s(approx (* (cosh x) (/ (sin y) y)) #s(hole binary64 (+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(hole binary64 (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(hole binary64 (+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))))
#s(approx (/ (* 2 (cosh x)) y) #s(hole binary64 (/ 2 y)))
#s(approx (/ (* 2 (cosh x)) y) #s(hole binary64 (+ (* 2 (/ 1 y)) (/ (pow x 2) y))))
#s(approx (/ (* 2 (cosh x)) y) #s(hole binary64 (+ (* (pow x 2) (+ (* 1/12 (/ (pow x 2) y)) (/ 1 y))) (* 2 (/ 1 y)))))
#s(approx (/ (* 2 (cosh x)) y) #s(hole binary64 (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/360 (/ (pow x 2) y)) (* 1/12 (/ 1 y)))) (/ 1 y))) (* 2 (/ 1 y)))))
#s(approx (* 2 (cosh x)) #s(hole binary64 2))
#s(approx (* 2 (cosh x)) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (* 2 (cosh x)) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (* 2 (cosh x)) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (cosh x) #s(hole binary64 1))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx x #s(hole binary64 x))
#s(approx (* (cosh x) (/ (sin y) y)) #s(hole binary64 (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))))
#s(approx (/ (* 2 (cosh x)) y) #s(hole binary64 (/ (+ (exp x) (/ 1 (exp x))) y)))
#s(approx (* 2 (cosh x)) #s(hole binary64 (+ (exp x) (/ 1 (exp x)))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(hole binary64 (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(hole binary64 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(hole binary64 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))))
#s(approx (* (sin y) 1/2) #s(hole binary64 (* 1/2 y)))
#s(approx (* (sin y) 1/2) #s(hole binary64 (* y (+ 1/2 (* -1/12 (pow y 2))))))
#s(approx (* (sin y) 1/2) #s(hole binary64 (* y (+ 1/2 (* (pow y 2) (- (* 1/240 (pow y 2)) 1/12))))))
#s(approx (* (sin y) 1/2) #s(hole binary64 (* y (+ 1/2 (* (pow y 2) (- (* (pow y 2) (+ 1/240 (* -1/10080 (pow y 2)))) 1/12))))))
#s(approx (sin y) #s(hole binary64 y))
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* -1/6 (pow y 2))))))
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))))
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))))
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* -1/6 (pow y 2)))))
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (- (* 1/120 (* y y)) 1/6) #s(hole binary64 -1/6))
#s(approx (- (* 1/120 (* y y)) 1/6) #s(hole binary64 (- (* 1/120 (pow y 2)) 1/6)))
#s(approx (* 1/120 (* y y)) #s(hole binary64 (* 1/120 (pow y 2))))
#s(approx (* (sin y) 1/2) #s(hole binary64 (* 1/2 (sin y))))
#s(approx (sin y) #s(hole binary64 (sin y)))
#s(approx (+ (* -1/6 (* y y)) 1) #s(hole binary64 (* -1/6 (pow y 2))))
#s(approx (+ (* -1/6 (* y y)) 1) #s(hole binary64 (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))))
#s(approx (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* 1/120 (pow y 4))))
#s(approx (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))))
#s(approx (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))))
#s(approx (- (* 1/120 (* y y)) 1/6) #s(hole binary64 (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))))
Calls

6 calls:

TimeVariablePointExpression
3.0ms
y
@inf
((* (cosh x) (/ (sin y) y)) (* (* (sin y) 1/2) (/ (* 2 (cosh x)) y)) (* (sin y) 1/2) (sin y) y 1/2 (/ (* 2 (cosh x)) y) (* 2 (cosh x)) 2 (cosh x) x (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (sin y) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) -1/6 (* y y) 1 (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) (- (* 1/120 (* y y)) 1/6) (* 1/120 (* y y)) 1/120 1/6 (* (cosh x) (/ (sin y) y)) (/ (sin y) y))
3.0ms
y
@-inf
((* (cosh x) (/ (sin y) y)) (* (* (sin y) 1/2) (/ (* 2 (cosh x)) y)) (* (sin y) 1/2) (sin y) y 1/2 (/ (* 2 (cosh x)) y) (* 2 (cosh x)) 2 (cosh x) x (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (sin y) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) -1/6 (* y y) 1 (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) (- (* 1/120 (* y y)) 1/6) (* 1/120 (* y y)) 1/120 1/6 (* (cosh x) (/ (sin y) y)) (/ (sin y) y))
2.0ms
x
@inf
((* (cosh x) (/ (sin y) y)) (* (* (sin y) 1/2) (/ (* 2 (cosh x)) y)) (* (sin y) 1/2) (sin y) y 1/2 (/ (* 2 (cosh x)) y) (* 2 (cosh x)) 2 (cosh x) x (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (sin y) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) -1/6 (* y y) 1 (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) (- (* 1/120 (* y y)) 1/6) (* 1/120 (* y y)) 1/120 1/6 (* (cosh x) (/ (sin y) y)) (/ (sin y) y))
2.0ms
x
@-inf
((* (cosh x) (/ (sin y) y)) (* (* (sin y) 1/2) (/ (* 2 (cosh x)) y)) (* (sin y) 1/2) (sin y) y 1/2 (/ (* 2 (cosh x)) y) (* 2 (cosh x)) 2 (cosh x) x (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (sin y) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) -1/6 (* y y) 1 (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) (- (* 1/120 (* y y)) 1/6) (* 1/120 (* y y)) 1/120 1/6 (* (cosh x) (/ (sin y) y)) (/ (sin y) y))
2.0ms
y
@0
((* (cosh x) (/ (sin y) y)) (* (* (sin y) 1/2) (/ (* 2 (cosh x)) y)) (* (sin y) 1/2) (sin y) y 1/2 (/ (* 2 (cosh x)) y) (* 2 (cosh x)) 2 (cosh x) x (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (sin y) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) -1/6 (* y y) 1 (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) (- (* 1/120 (* y y)) 1/6) (* 1/120 (* y y)) 1/120 1/6 (* (cosh x) (/ (sin y) y)) (/ (sin y) y))

rewrite253.0ms (7.5%)

Memory
-13.6MiB live, 312.3MiB allocated; 73ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02231067
02571006
11299979
08469924
Stop Event
iter-limit
node-limit
iter-limit
Counts
76 → 219
Calls
Call 1
Inputs
#s(approx (* (cosh x) (/ (sin y) y)) (*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y)))
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y))
(*.f64 (sin.f64 y) #s(literal 1/2 binary64))
(sin.f64 y)
y
#s(literal 1/2 binary64)
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y)
(*.f64 #s(literal 2 binary64) (cosh.f64 x))
#s(literal 2 binary64)
(cosh.f64 x)
x
(*.f64 (cosh.f64 x) (/.f64 #s(approx (sin y) y) y))
(/.f64 #s(approx (sin y) y) y)
#s(approx (sin y) y)
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
#s(literal -1/6 binary64)
(*.f64 y y)
#s(literal 1 binary64)
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/120 binary64) (*.f64 y y))
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) y)
#s(approx (* (cosh x) (/ (sin y) y)) #s(hole binary64 (/ (sin y) y)))
#s(approx (* (cosh x) (/ (sin y) y)) #s(hole binary64 (+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(hole binary64 (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(hole binary64 (+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))))
#s(approx (/ (* 2 (cosh x)) y) #s(hole binary64 (/ 2 y)))
#s(approx (/ (* 2 (cosh x)) y) #s(hole binary64 (+ (* 2 (/ 1 y)) (/ (pow x 2) y))))
#s(approx (/ (* 2 (cosh x)) y) #s(hole binary64 (+ (* (pow x 2) (+ (* 1/12 (/ (pow x 2) y)) (/ 1 y))) (* 2 (/ 1 y)))))
#s(approx (/ (* 2 (cosh x)) y) #s(hole binary64 (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/360 (/ (pow x 2) y)) (* 1/12 (/ 1 y)))) (/ 1 y))) (* 2 (/ 1 y)))))
#s(approx (* 2 (cosh x)) #s(hole binary64 2))
#s(approx (* 2 (cosh x)) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (* 2 (cosh x)) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (* 2 (cosh x)) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (cosh x) #s(hole binary64 1))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx x #s(hole binary64 x))
#s(approx (* (cosh x) (/ (sin y) y)) #s(hole binary64 (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))))
#s(approx (/ (* 2 (cosh x)) y) #s(hole binary64 (/ (+ (exp x) (/ 1 (exp x))) y)))
#s(approx (* 2 (cosh x)) #s(hole binary64 (+ (exp x) (/ 1 (exp x)))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(hole binary64 (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(hole binary64 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(hole binary64 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))))
#s(approx (* (sin y) 1/2) #s(hole binary64 (* 1/2 y)))
#s(approx (* (sin y) 1/2) #s(hole binary64 (* y (+ 1/2 (* -1/12 (pow y 2))))))
#s(approx (* (sin y) 1/2) #s(hole binary64 (* y (+ 1/2 (* (pow y 2) (- (* 1/240 (pow y 2)) 1/12))))))
#s(approx (* (sin y) 1/2) #s(hole binary64 (* y (+ 1/2 (* (pow y 2) (- (* (pow y 2) (+ 1/240 (* -1/10080 (pow y 2)))) 1/12))))))
#s(approx (sin y) #s(hole binary64 y))
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* -1/6 (pow y 2))))))
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))))
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))))
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* -1/6 (pow y 2)))))
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (- (* 1/120 (* y y)) 1/6) #s(hole binary64 -1/6))
#s(approx (- (* 1/120 (* y y)) 1/6) #s(hole binary64 (- (* 1/120 (pow y 2)) 1/6)))
#s(approx (* 1/120 (* y y)) #s(hole binary64 (* 1/120 (pow y 2))))
#s(approx (* (sin y) 1/2) #s(hole binary64 (* 1/2 (sin y))))
#s(approx (sin y) #s(hole binary64 (sin y)))
#s(approx (+ (* -1/6 (* y y)) 1) #s(hole binary64 (* -1/6 (pow y 2))))
#s(approx (+ (* -1/6 (* y y)) 1) #s(hole binary64 (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))))
#s(approx (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* 1/120 (pow y 4))))
#s(approx (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))))
#s(approx (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))))
#s(approx (- (* 1/120 (* y y)) 1/6) #s(hole binary64 (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))))
Outputs
#s(approx (* (cosh x) (/ (sin y) y)) (*.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) y) (*.f64 (sin.f64 y) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) y) (*.f64 (sin.f64 y) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) y))
(*.f64 (sin.f64 y) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) y)))
(/.f64 (neg.f64 (*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))) (neg.f64 y))
(/.f64 (*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) y)
(fma.f64 (/.f64 (exp.f64 x) y) (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (*.f64 (/.f64 (exp.f64 (neg.f64 x)) y) (*.f64 (sin.f64 y) #s(literal 1/2 binary64))))
(+.f64 (*.f64 (/.f64 (exp.f64 x) y) (*.f64 (sin.f64 y) #s(literal 1/2 binary64))) (*.f64 (/.f64 (exp.f64 (neg.f64 x)) y) (*.f64 (sin.f64 y) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (sin.f64 y))
(*.f64 (sin.f64 y) #s(literal 1/2 binary64))
(sin.f64 y)
y
#s(literal 1/2 binary64)
(*.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) y))
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 x) y) (/.f64 (exp.f64 x) y)) (*.f64 (/.f64 (exp.f64 (neg.f64 x)) y) (/.f64 (exp.f64 (neg.f64 x)) y))) (-.f64 (/.f64 (exp.f64 x) y) (/.f64 (exp.f64 (neg.f64 x)) y)))
(/.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 x) y) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 x)) y) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 x) y) (/.f64 (exp.f64 x) y) (-.f64 (*.f64 (/.f64 (exp.f64 (neg.f64 x)) y) (/.f64 (exp.f64 (neg.f64 x)) y)) (*.f64 (/.f64 (exp.f64 x) y) (/.f64 (exp.f64 (neg.f64 x)) y)))))
(/.f64 (fma.f64 (exp.f64 x) y (*.f64 y (exp.f64 (neg.f64 x)))) (*.f64 y y))
(/.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) y))
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x))) (neg.f64 (neg.f64 y)))
(/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (neg.f64 y))
(/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) y)
(neg.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (neg.f64 y)))
(neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) y))
(+.f64 (/.f64 (cosh.f64 x) y) (/.f64 (cosh.f64 x) y))
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) y) (/.f64 (exp.f64 x) y))
(+.f64 (/.f64 (exp.f64 x) y) (/.f64 (exp.f64 (neg.f64 x)) y))
(*.f64 (cosh.f64 x) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 x) x) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 x) x) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 x (neg.f64 x)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 x (neg.f64 x)) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 x x) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (cosh.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (exp.f64 (+.f64 x x))) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (-.f64 (exp.f64 (+.f64 x x)) (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))))
(/.f64 (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (cosh.f64 x) (cosh.f64 x))) (-.f64 (cosh.f64 x) (cosh.f64 x)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (cosh.f64 x) (cosh.f64 x)))))
(/.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))) #s(literal 4 binary64))
(/.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))))) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (exp.f64 (+.f64 x (neg.f64 x)))))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (exp.f64 (+.f64 x (neg.f64 x))))))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (exp.f64 (neg.f64 (neg.f64 x))))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (exp.f64 x))
(fma.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) (cosh.f64 x))
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(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) #s(literal 1/216 binary64)) (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))
(fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))
(-.f64 (/.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) (/.f64 #s(literal 1/216 binary64) (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))
(-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(+.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(*.f64 (*.f64 #s(literal 1/120 binary64) y) y)
(*.f64 (*.f64 y y) #s(literal 1/120 binary64))
(*.f64 #s(literal 1/120 binary64) (*.f64 y y))
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y))
(/.f64 (neg.f64 (neg.f64 (sin.f64 y))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 y))
(/.f64 (sin.f64 y) y)
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 (sin.f64 y)) y))
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y))
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (sin.f64 y)) (sin.f64 y)) y))
#s(approx (* (cosh x) (/ (sin y) y)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sin.f64 y) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (sin.f64 y)))) y) (*.f64 x x) (/.f64 (sin.f64 y) y)))
#s(approx (* (cosh x) (/ (sin y) y)) (fma.f64 (fma.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64) (*.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 y) (*.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) (sin.f64 y)))) y) (*.f64 x x))) (*.f64 x x) (/.f64 (sin.f64 y) y)))
#s(approx (/ (* 2 (cosh x)) y) (/.f64 #s(literal 2 binary64) y))
#s(approx (/ (* 2 (cosh x)) y) (/.f64 (fma.f64 x x #s(literal 2 binary64)) y))
#s(approx (/ (* 2 (cosh x)) y) (fma.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 x x) (/.f64 #s(literal 2 binary64) y)))
#s(approx (/ (* 2 (cosh x)) y) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) y) (*.f64 x x) (/.f64 #s(literal 1 binary64) y)) (*.f64 x x) (/.f64 #s(literal 2 binary64) y)))
#s(approx (* 2 (cosh x)) #s(literal 2 binary64))
#s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64)))
#s(approx (* 2 (cosh x)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (* 2 (cosh x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (cosh x) #s(literal 1 binary64))
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx x x)
#s(approx (* (cosh x) (/ (sin y) y)) (*.f64 (*.f64 (sin.f64 y) (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* 2 (cosh x)) y) (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) y))
#s(approx (* 2 (cosh x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
#s(approx (cosh x) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (cosh x) (/ (sin y) y)) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/240 binary64) (*.f64 y y) #s(literal -1/12 binary64))) (*.f64 y y) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal -1/10080 binary64) (*.f64 y y) #s(literal 1/240 binary64))) (*.f64 y y) (*.f64 #s(literal -1/12 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))) (*.f64 y y) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
#s(approx (* (sin y) 1/2) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (* (sin y) 1/2) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) y))
#s(approx (* (sin y) 1/2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 y y) #s(literal -1/12 binary64)) (*.f64 y y) #s(literal 1/2 binary64)) y))
#s(approx (* (sin y) 1/2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 y y) #s(literal 1/240 binary64)) (*.f64 y y) #s(literal -1/12 binary64)) (*.f64 y y) #s(literal 1/2 binary64)) y))
#s(approx (sin y) y)
#s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))
#s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))
#s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))
#s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (* y y) (*.f64 y y))
#s(approx (- (* 1/120 (* y y)) 1/6) #s(literal -1/6 binary64))
#s(approx (- (* 1/120 (* y y)) 1/6) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))
#s(approx (* 1/120 (* y y)) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))
#s(approx (* (sin y) 1/2) (*.f64 (sin.f64 y) #s(literal 1/2 binary64)))
#s(approx (sin y) (sin.f64 y))
#s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))
#s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y)))
#s(approx (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/120 binary64)))
#s(approx (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))) (*.f64 (*.f64 y y) (*.f64 y y))))
#s(approx (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (+.f64 #s(literal 1/120 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 #s(literal 1/6 binary64) (*.f64 y y)))) (*.f64 (*.f64 y y) (*.f64 y y))))
#s(approx (- (* 1/120 (* y y)) 1/6) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))) (*.f64 y y)))

eval32.0ms (0.9%)

Memory
-2.7MiB live, 87.3MiB allocated; 10ms collecting garbage
Compiler

Compiled 6 625 to 1 110 computations (83.2% saved)

prune16.0ms (0.5%)

Memory
1.1MiB live, 45.0MiB allocated; 5ms collecting garbage
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New24515260
Fresh101
Picked415
Done000
Total25016266
Accuracy
99.9%
Counts
266 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.4%
(/.f64 (*.f64 (cosh.f64 x) #s(approx (sin y) y)) y)
67.2%
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
67.1%
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
11.4%
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))))
44.2%
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 #s(approx (sin y) y) y))
49.9%
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
48.8%
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
28.4%
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 #s(approx (sin y) y) y))
35.6%
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
33.5%
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
50.7%
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y))
34.9%
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y))
65.6%
#s(approx (* (cosh x) (/ (sin y) y)) (*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (fma.f64 (exp.f64 x) y (*.f64 y (exp.f64 (neg.f64 x)))) (*.f64 y y))))
50.6%
#s(approx (* (cosh x) (/ (sin y) y)) (*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) y)))
67.1%
#s(approx (* (cosh x) (/ (sin y) y)) (*.f64 #s(approx (* (sin y) 1/2) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) y)) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y)))
67.3%
#s(approx (* (cosh x) (/ (sin y) y)) (*.f64 #s(approx (* (sin y) 1/2) (*.f64 #s(literal 1/2 binary64) y)) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y)))
Compiler

Compiled 612 to 439 computations (28.3% saved)

series20.0ms (0.6%)

Memory
-1.5MiB live, 55.0MiB allocated; 8ms collecting garbage
Counts
28 → 43
Calls
Call 1
Inputs
(/.f64 (*.f64 (cosh.f64 x) #s(approx (sin y) y)) y)
(*.f64 (cosh.f64 x) #s(approx (sin y) y))
(cosh.f64 x)
x
#s(approx (sin y) y)
y
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 #s(approx (sin y) y) y))
#s(approx (cosh x) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(approx (sin y) y) y)
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 #s(approx (sin y) y) y))
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 x x)
#s(literal 1/2 binary64)
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))))
#s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))
#s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))
(*.f64 (*.f64 y y) #s(literal -1/6 binary64))
(*.f64 y y)
#s(literal -1/6 binary64)
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/120 binary64) (*.f64 y y))
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
Outputs
#s(approx (/ (* (cosh x) (sin y)) y) #s(hole binary64 (/ (sin y) y)))
#s(approx (/ (* (cosh x) (sin y)) y) #s(hole binary64 (+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))))
#s(approx (/ (* (cosh x) (sin y)) y) #s(hole binary64 (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))))
#s(approx (/ (* (cosh x) (sin y)) y) #s(hole binary64 (+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))))
#s(approx (* (cosh x) (sin y)) #s(hole binary64 (sin y)))
#s(approx (* (cosh x) (sin y)) #s(hole binary64 (+ (sin y) (* 1/2 (* (pow x 2) (sin y))))))
#s(approx (* (cosh x) (sin y)) #s(hole binary64 (+ (sin y) (* (pow x 2) (+ (* 1/24 (* (pow x 2) (sin y))) (* 1/2 (sin y)))))))
#s(approx (* (cosh x) (sin y)) #s(hole binary64 (+ (sin y) (* (pow x 2) (+ (* 1/2 (sin y)) (* (pow x 2) (+ (* 1/720 (* (pow x 2) (sin y))) (* 1/24 (sin y)))))))))
#s(approx (cosh x) #s(hole binary64 1))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx x #s(hole binary64 x))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (* (cosh x) (sin y)) y) #s(hole binary64 (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))))
#s(approx (* (cosh x) (sin y)) #s(hole binary64 (* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (+ (* (* x x) 1/2) 1) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (+ (* (* x x) 1/2) 1) #s(hole binary64 (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))))
#s(approx (/ (* (cosh x) (sin y)) y) #s(hole binary64 (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))))
#s(approx (/ (* (cosh x) (sin y)) y) #s(hole binary64 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))))
#s(approx (/ (* (cosh x) (sin y)) y) #s(hole binary64 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))))
#s(approx (* (cosh x) (sin y)) #s(hole binary64 (* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))))
#s(approx (* (cosh x) (sin y)) #s(hole binary64 (* y (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))))))
#s(approx (* (cosh x) (sin y)) #s(hole binary64 (* y (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))))))
#s(approx (* (cosh x) (sin y)) #s(hole binary64 (* y (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))))))
#s(approx (sin y) #s(hole binary64 y))
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* -1/6 (pow y 2))))))
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))))
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))))
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* -1/6 (pow y 2)))))
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))
#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 (- (* 1/120 (* y y)) 1/6) #s(hole binary64 -1/6))
#s(approx (- (* 1/120 (* y y)) 1/6) #s(hole binary64 (- (* 1/120 (pow y 2)) 1/6)))
#s(approx (* 1/120 (* y y)) #s(hole binary64 (* 1/120 (pow y 2))))
#s(approx (+ (* -1/6 (* y y)) 1) #s(hole binary64 (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))))
#s(approx (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* 1/120 (pow y 4))))
#s(approx (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))))
#s(approx (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))))
#s(approx (- (* 1/120 (* y y)) 1/6) #s(hole binary64 (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))))
Calls

6 calls:

TimeVariablePointExpression
7.0ms
y
@inf
((/ (* (cosh x) (sin y)) y) (* (cosh x) (sin y)) (cosh x) x (sin y) y (* (cosh x) (/ (sin y) y)) (cosh x) 1 (/ (sin y) y) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (* x x) 1/2 (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (* (* y y) -1/6) (* y y) -1/6 (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) (- (* 1/120 (* y y)) 1/6) (* 1/120 (* y y)) 1/120 1/6)
4.0ms
x
@0
((/ (* (cosh x) (sin y)) y) (* (cosh x) (sin y)) (cosh x) x (sin y) y (* (cosh x) (/ (sin y) y)) (cosh x) 1 (/ (sin y) y) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (* x x) 1/2 (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (* (* y y) -1/6) (* y y) -1/6 (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) (- (* 1/120 (* y y)) 1/6) (* 1/120 (* y y)) 1/120 1/6)
3.0ms
y
@-inf
((/ (* (cosh x) (sin y)) y) (* (cosh x) (sin y)) (cosh x) x (sin y) y (* (cosh x) (/ (sin y) y)) (cosh x) 1 (/ (sin y) y) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (* x x) 1/2 (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (* (* y y) -1/6) (* y y) -1/6 (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) (- (* 1/120 (* y y)) 1/6) (* 1/120 (* y y)) 1/120 1/6)
2.0ms
x
@inf
((/ (* (cosh x) (sin y)) y) (* (cosh x) (sin y)) (cosh x) x (sin y) y (* (cosh x) (/ (sin y) y)) (cosh x) 1 (/ (sin y) y) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (* x x) 1/2 (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (* (* y y) -1/6) (* y y) -1/6 (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) (- (* 1/120 (* y y)) 1/6) (* 1/120 (* y y)) 1/120 1/6)
2.0ms
x
@-inf
((/ (* (cosh x) (sin y)) y) (* (cosh x) (sin y)) (cosh x) x (sin y) y (* (cosh x) (/ (sin y) y)) (cosh x) 1 (/ (sin y) y) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (* x x) 1/2 (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (* (* y y) -1/6) (* y y) -1/6 (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) (- (* 1/120 (* y y)) 1/6) (* 1/120 (* y y)) 1/120 1/6)

rewrite165.0ms (4.9%)

Memory
33.0MiB live, 355.1MiB allocated; 33ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01961124
02201087
11102988
08941936
Stop Event
iter-limit
node-limit
iter-limit
Counts
71 → 240
Calls
Call 1
Inputs
(/.f64 (*.f64 (cosh.f64 x) #s(approx (sin y) y)) y)
(*.f64 (cosh.f64 x) #s(approx (sin y) y))
(cosh.f64 x)
x
#s(approx (sin y) y)
y
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 #s(approx (sin y) y) y))
#s(approx (cosh x) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(approx (sin y) y) y)
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 #s(approx (sin y) y) y))
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 x x)
#s(literal 1/2 binary64)
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))))
#s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))
#s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))
(*.f64 (*.f64 y y) #s(literal -1/6 binary64))
(*.f64 y y)
#s(literal -1/6 binary64)
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/120 binary64) (*.f64 y y))
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(approx (/ (* (cosh x) (sin y)) y) #s(hole binary64 (/ (sin y) y)))
#s(approx (/ (* (cosh x) (sin y)) y) #s(hole binary64 (+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))))
#s(approx (/ (* (cosh x) (sin y)) y) #s(hole binary64 (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))))
#s(approx (/ (* (cosh x) (sin y)) y) #s(hole binary64 (+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))))
#s(approx (* (cosh x) (sin y)) #s(hole binary64 (sin y)))
#s(approx (* (cosh x) (sin y)) #s(hole binary64 (+ (sin y) (* 1/2 (* (pow x 2) (sin y))))))
#s(approx (* (cosh x) (sin y)) #s(hole binary64 (+ (sin y) (* (pow x 2) (+ (* 1/24 (* (pow x 2) (sin y))) (* 1/2 (sin y)))))))
#s(approx (* (cosh x) (sin y)) #s(hole binary64 (+ (sin y) (* (pow x 2) (+ (* 1/2 (sin y)) (* (pow x 2) (+ (* 1/720 (* (pow x 2) (sin y))) (* 1/24 (sin y)))))))))
#s(approx (cosh x) #s(hole binary64 1))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx x #s(hole binary64 x))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (* (cosh x) (sin y)) y) #s(hole binary64 (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))))
#s(approx (* (cosh x) (sin y)) #s(hole binary64 (* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (+ (* (* x x) 1/2) 1) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (+ (* (* x x) 1/2) 1) #s(hole binary64 (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))))
#s(approx (/ (* (cosh x) (sin y)) y) #s(hole binary64 (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))))
#s(approx (/ (* (cosh x) (sin y)) y) #s(hole binary64 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))))
#s(approx (/ (* (cosh x) (sin y)) y) #s(hole binary64 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))))
#s(approx (* (cosh x) (sin y)) #s(hole binary64 (* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))))
#s(approx (* (cosh x) (sin y)) #s(hole binary64 (* y (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))))))
#s(approx (* (cosh x) (sin y)) #s(hole binary64 (* y (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))))))
#s(approx (* (cosh x) (sin y)) #s(hole binary64 (* y (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))))))
#s(approx (sin y) #s(hole binary64 y))
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* -1/6 (pow y 2))))))
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))))
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))))
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* -1/6 (pow y 2)))))
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))
#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 (- (* 1/120 (* y y)) 1/6) #s(hole binary64 -1/6))
#s(approx (- (* 1/120 (* y y)) 1/6) #s(hole binary64 (- (* 1/120 (pow y 2)) 1/6)))
#s(approx (* 1/120 (* y y)) #s(hole binary64 (* 1/120 (pow y 2))))
#s(approx (+ (* -1/6 (* y y)) 1) #s(hole binary64 (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))))
#s(approx (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* 1/120 (pow y 4))))
#s(approx (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))))
#s(approx (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))))
#s(approx (- (* 1/120 (* y y)) 1/6) #s(hole binary64 (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))))
Outputs
(*.f64 (cosh.f64 x) (/.f64 #s(approx (sin y) y) y))
(*.f64 #s(approx (sin y) y) (/.f64 (cosh.f64 x) y))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 #s(approx (sin y) y) y)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (neg.f64 #s(approx (sin y) y))) (*.f64 #s(literal 2 binary64) (neg.f64 y)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(approx (sin y) y)) (*.f64 #s(literal 2 binary64) y))
(/.f64 (neg.f64 (*.f64 (neg.f64 (cosh.f64 x)) #s(approx (sin y) y))) (neg.f64 (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 (cosh.f64 x)) #s(approx (sin y) y)) (neg.f64 y))
(/.f64 (*.f64 (cosh.f64 x) #s(approx (sin y) y)) y)
(neg.f64 (/.f64 (*.f64 (cosh.f64 x) #s(approx (sin y) y)) (neg.f64 y)))
(neg.f64 (/.f64 (*.f64 (neg.f64 (cosh.f64 x)) #s(approx (sin y) y)) y))
(*.f64 (cosh.f64 x) #s(approx (sin y) y))
(*.f64 #s(approx (sin y) y) (cosh.f64 x))
(/.f64 (*.f64 #s(approx (sin y) y) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(approx (sin y) y)) #s(literal 2 binary64))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 4 binary64)) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -2 binary64))
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)))
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) (*.f64 (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(cosh.f64 (neg.f64 (neg.f64 x)))
(cosh.f64 (neg.f64 x))
(cosh.f64 x)
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
x
#s(approx (sin y) y)
y
(*.f64 (/.f64 #s(approx (sin y) y) y) #s(approx (cosh x) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 #s(approx (sin y) y) y))
(/.f64 (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) (neg.f64 #s(approx (sin y) y))) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 #s(approx (sin y) y)) #s(approx (cosh x) #s(literal 1 binary64))) (neg.f64 y))
(/.f64 (*.f64 #s(approx (sin y) y) #s(approx (cosh x) #s(literal 1 binary64))) y)
(/.f64 (neg.f64 (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (sin y) y))) (neg.f64 y))
(/.f64 (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (sin y) y)) y)
#s(approx (cosh x) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (neg.f64 (neg.f64 #s(approx (sin y) y))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 #s(approx (sin y) y)) (neg.f64 y))
(/.f64 #s(approx (sin y) y) y)
(neg.f64 (/.f64 #s(approx (sin y) y) (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 #s(approx (sin y) y)) y))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 #s(approx (sin y) y) y))
(*.f64 (/.f64 #s(approx (sin y) y) y) #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 #s(approx (sin y) y))) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 #s(approx (sin y) y)) #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (neg.f64 y))
(/.f64 (*.f64 #s(approx (sin y) y) #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) y)
(/.f64 (neg.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (sin y) y))) (neg.f64 y))
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (sin y) y)) y)
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 x x)) (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal -1 binary64)))))
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(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(-.f64 (/.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))) (/.f64 #s(literal 1/216 binary64) (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))))
(-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(+.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(*.f64 (*.f64 #s(literal 1/120 binary64) y) y)
(*.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) #s(literal 1/120 binary64)))
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 1/120 binary64)))
(*.f64 (*.f64 y y) #s(literal 1/120 binary64))
(*.f64 #s(literal 1/120 binary64) (*.f64 y y))
(*.f64 y (*.f64 y #s(literal 1/120 binary64)))
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(approx (/ (* (cosh x) (sin y)) y) (/.f64 (sin.f64 y) y))
#s(approx (/ (* (cosh x) (sin y)) y) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sin.f64 y)) y))
#s(approx (/ (* (cosh x) (sin y)) y) (fma.f64 (/.f64 (*.f64 (sin.f64 y) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) y) (*.f64 x x) (/.f64 (sin.f64 y) y)))
#s(approx (/ (* (cosh x) (sin y)) y) (fma.f64 (fma.f64 x (*.f64 x (/.f64 (*.f64 (sin.f64 y) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) y)) (*.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64))) (*.f64 x x) (/.f64 (sin.f64 y) y)))
#s(approx (* (cosh x) (sin y)) (sin.f64 y))
#s(approx (* (cosh x) (sin y)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sin.f64 y)))
#s(approx (* (cosh x) (sin y)) (fma.f64 (*.f64 (sin.f64 y) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x x) (sin.f64 y)))
#s(approx (* (cosh x) (sin y)) (fma.f64 (fma.f64 (*.f64 (sin.f64 y) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 (sin.f64 y) #s(literal 1/2 binary64))) (*.f64 x x) (sin.f64 y)))
#s(approx (cosh x) #s(literal 1 binary64))
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx x x)
#s(approx (* x x) (*.f64 x x))
#s(approx (/ (* (cosh x) (sin y)) y) (*.f64 (*.f64 (sin.f64 y) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 #s(literal 1/2 binary64) y)))
#s(approx (* (cosh x) (sin y)) (*.f64 (*.f64 (sin.f64 y) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 1/2 binary64)))
#s(approx (cosh x) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64)))
#s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (+ (* (* x x) 1/2) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (* (cosh x) (sin y)) y) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (fma.f64 #s(literal -1/12 binary64) (*.f64 y y) #s(literal 1/2 binary64))))
#s(approx (/ (* (cosh x) (sin y)) y) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (fma.f64 #s(literal 1/240 binary64) (*.f64 y y) #s(literal -1/12 binary64))) (*.f64 y y) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64))))
#s(approx (/ (* (cosh x) (sin y)) y) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (fma.f64 #s(literal -1/10080 binary64) (*.f64 y y) #s(literal 1/240 binary64))) (*.f64 y y) (*.f64 #s(literal -1/12 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) (*.f64 y y) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64))))
#s(approx (* (cosh x) (sin y)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) #s(literal 1/2 binary64)))
#s(approx (* (cosh x) (sin y)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (fma.f64 #s(literal -1/12 binary64) (*.f64 y y) #s(literal 1/2 binary64))) y))
#s(approx (* (cosh x) (sin y)) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (fma.f64 #s(literal 1/240 binary64) (*.f64 y y) #s(literal -1/12 binary64))) (*.f64 y y) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64))) y))
#s(approx (* (cosh x) (sin y)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (fma.f64 #s(literal -1/10080 binary64) (*.f64 y y) #s(literal 1/240 binary64))) (*.f64 y y) (*.f64 #s(literal -1/12 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) (*.f64 y y) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64))) y))
#s(approx (sin y) y)
#s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))
#s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))
#s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))
#s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (* (* y y) -1/6) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))
#s(approx (* y y) (*.f64 y y))
#s(approx (- (* 1/120 (* y y)) 1/6) #s(literal -1/6 binary64))
#s(approx (- (* 1/120 (* y y)) 1/6) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))
#s(approx (* 1/120 (* y y)) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))
#s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y)))
#s(approx (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/120 binary64)))
#s(approx (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))) (*.f64 (*.f64 y y) (*.f64 y y))))
#s(approx (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (+.f64 #s(literal 1/120 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 #s(literal 1/6 binary64) (*.f64 y y)))) (*.f64 (*.f64 y y) (*.f64 y y))))
#s(approx (- (* 1/120 (* y y)) 1/6) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))) (*.f64 y y)))

eval43.0ms (1.3%)

Memory
-4.6MiB live, 108.1MiB allocated; 22ms collecting garbage
Compiler

Compiled 8 814 to 1 135 computations (87.1% saved)

prune30.0ms (0.9%)

Memory
13.1MiB live, 47.9MiB allocated; 18ms collecting garbage
Pruning

17 alts after pruning (14 fresh and 3 done)

PrunedKeptTotal
New3039312
Fresh5510
Picked325
Done011
Total31117328
Accuracy
99.9%
Counts
328 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.4%
(/.f64 (*.f64 (cosh.f64 x) #s(approx (sin y) y)) y)
47.1%
(/.f64 (*.f64 #s(approx (sin y) y) #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) y)
11.4%
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y))))
49.9%
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
67.3%
(*.f64 #s(approx (sin y) y) (/.f64 (cosh.f64 x) y))
50.3%
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
48.8%
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
39.2%
(*.f64 #s(approx (cosh x) (*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
19.5%
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 #s(approx (sin y) y) y))
28.4%
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 #s(approx (sin y) y) y))
35.6%
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
33.5%
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
50.7%
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y))
34.9%
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y))
65.6%
#s(approx (* (cosh x) (/ (sin y) y)) (*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (fma.f64 (exp.f64 x) y (*.f64 y (exp.f64 (neg.f64 x)))) (*.f64 y y))))
50.6%
#s(approx (* (cosh x) (/ (sin y) y)) (*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) y)))
67.1%
#s(approx (* (cosh x) (/ (sin y) y)) (*.f64 #s(approx (* (sin y) 1/2) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) y)) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y)))
Compiler

Compiled 658 to 463 computations (29.6% saved)

series44.0ms (1.3%)

Memory
-52.1MiB live, 53.8MiB allocated; 37ms collecting garbage
Counts
36 → 57
Calls
Call 1
Inputs
(*.f64 #s(approx (sin y) y) (/.f64 (cosh.f64 x) y))
#s(approx (sin y) y)
y
(/.f64 (cosh.f64 x) y)
(cosh.f64 x)
x
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
#s(approx (cosh x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (sin 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)
(/.f64 (*.f64 #s(approx (sin y) y) #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) y)
(*.f64 #s(approx (sin y) y) #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 x x)
#s(literal 1/2 binary64)
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y))))
#s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))
#s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y))
(*.f64 (*.f64 #s(literal -1/6 binary64) y) y)
(*.f64 #s(literal -1/6 binary64) y)
(*.f64 #s(approx (cosh x) (*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (cosh x) (*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))))
(*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/120 binary64) (*.f64 y y))
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
Outputs
#s(approx (* (sin y) (/ (cosh x) y)) #s(hole binary64 (/ (sin y) y)))
#s(approx (* (sin y) (/ (cosh x) y)) #s(hole binary64 (+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))))
#s(approx (* (sin y) (/ (cosh x) y)) #s(hole binary64 (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))))
#s(approx (* (sin y) (/ (cosh x) y)) #s(hole binary64 (+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))))
#s(approx (/ (cosh x) y) #s(hole binary64 (/ 1 y)))
#s(approx (/ (cosh x) y) #s(hole binary64 (+ (* 1/2 (/ (pow x 2) y)) (/ 1 y))))
#s(approx (/ (cosh x) y) #s(hole binary64 (+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) y)) (* 1/2 (/ 1 y)))) (/ 1 y))))
#s(approx (/ (cosh 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 (cosh x) #s(hole binary64 1))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx x #s(hole binary64 x))
#s(approx (* (sin y) (cosh x)) #s(hole binary64 (sin y)))
#s(approx (* (sin y) (cosh x)) #s(hole binary64 (+ (sin y) (* 1/2 (* (pow x 2) (sin y))))))
#s(approx (* (sin y) (cosh x)) #s(hole binary64 (+ (sin y) (* (pow x 2) (+ (* 1/24 (* (pow x 2) (sin y))) (* 1/2 (sin y)))))))
#s(approx (* (sin y) (cosh x)) #s(hole binary64 (+ (sin y) (* (pow x 2) (+ (* 1/2 (sin y)) (* (pow x 2) (+ (* 1/720 (* (pow x 2) (sin y))) (* 1/24 (sin y)))))))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* x (+ (/ 1 (* x x)) 1/2)) #s(hole binary64 (/ 1 x)))
#s(approx (* x (+ (/ 1 (* x x)) 1/2)) #s(hole binary64 (/ (+ 1 (* 1/2 (pow x 2))) x)))
#s(approx (+ (/ 1 (* x x)) 1/2) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (+ (/ 1 (* x x)) 1/2) #s(hole binary64 (/ (+ 1 (* 1/2 (pow x 2))) (pow x 2))))
#s(approx (* (sin y) (/ (cosh x) y)) #s(hole binary64 (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))))
#s(approx (/ (cosh x) y) #s(hole binary64 (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (* (sin y) (cosh x)) #s(hole binary64 (* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))))
#s(approx (+ (* (* x x) 1/2) 1) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (+ (* (* x x) 1/2) 1) #s(hole binary64 (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))))
#s(approx (* x (+ (/ 1 (* x x)) 1/2)) #s(hole binary64 (* 1/2 x)))
#s(approx (* x (+ (/ 1 (* x x)) 1/2)) #s(hole binary64 (* x (+ 1/2 (/ 1 (pow x 2))))))
#s(approx (+ (/ 1 (* x x)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (/ 1 (* x x)) 1/2) #s(hole binary64 (+ 1/2 (/ 1 (pow x 2)))))
#s(approx (* (sin y) (/ (cosh x) y)) #s(hole binary64 (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))))
#s(approx (* (sin y) (/ (cosh x) y)) #s(hole binary64 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))))
#s(approx (* (sin y) (/ (cosh x) y)) #s(hole binary64 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))))
#s(approx (sin y) #s(hole binary64 y))
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* -1/6 (pow y 2))))))
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))))
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))))
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* -1/6 (pow y 2)))))
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (* (sin y) (cosh x)) #s(hole binary64 (* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))))
#s(approx (* (sin y) (cosh x)) #s(hole binary64 (* y (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))))))
#s(approx (* (sin y) (cosh x)) #s(hole binary64 (* y (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))))))
#s(approx (* (sin y) (cosh x)) #s(hole binary64 (* y (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))))))
#s(approx (* (* -1/6 y) y) #s(hole binary64 (* -1/6 (pow y 2))))
#s(approx (* -1/6 y) #s(hole binary64 (* -1/6 y)))
#s(approx (- (* 1/120 (* y y)) 1/6) #s(hole binary64 -1/6))
#s(approx (- (* 1/120 (* y y)) 1/6) #s(hole binary64 (- (* 1/120 (pow y 2)) 1/6)))
#s(approx (* 1/120 (* y y)) #s(hole binary64 (* 1/120 (pow y 2))))
#s(approx (+ (* (* y y) -1/6) 1) #s(hole binary64 (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))))
#s(approx (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* 1/120 (pow y 4))))
#s(approx (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))))
#s(approx (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))))
#s(approx (- (* 1/120 (* y y)) 1/6) #s(hole binary64 (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))))
Calls

6 calls:

TimeVariablePointExpression
19.0ms
y
@-inf
((* (sin y) (/ (cosh x) y)) (sin y) y (/ (cosh x) y) (cosh x) x (* (cosh x) (/ (sin y) y)) (cosh x) 1 (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* y y) -1/6 (/ (* (sin y) (cosh x)) y) (* (sin y) (cosh x)) (cosh x) (+ (* (* x x) 1/2) 1) (* x x) 1/2 (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (* (* -1/6 y) y) (* -1/6 y) (* (cosh x) (/ (sin y) y)) (cosh x) (* x (* x (+ (/ 1 (* x x)) 1/2))) (* x (+ (/ 1 (* x x)) 1/2)) (+ (/ 1 (* x x)) 1/2) (/ 1 (* x x)) (/ (sin y) y) (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) (- (* 1/120 (* y y)) 1/6) (* 1/120 (* y y)) 1/120 1/6)
3.0ms
y
@inf
((* (sin y) (/ (cosh x) y)) (sin y) y (/ (cosh x) y) (cosh x) x (* (cosh x) (/ (sin y) y)) (cosh x) 1 (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* y y) -1/6 (/ (* (sin y) (cosh x)) y) (* (sin y) (cosh x)) (cosh x) (+ (* (* x x) 1/2) 1) (* x x) 1/2 (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (* (* -1/6 y) y) (* -1/6 y) (* (cosh x) (/ (sin y) y)) (cosh x) (* x (* x (+ (/ 1 (* x x)) 1/2))) (* x (+ (/ 1 (* x x)) 1/2)) (+ (/ 1 (* x x)) 1/2) (/ 1 (* x x)) (/ (sin y) y) (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) (- (* 1/120 (* y y)) 1/6) (* 1/120 (* y y)) 1/120 1/6)
2.0ms
x
@-inf
((* (sin y) (/ (cosh x) y)) (sin y) y (/ (cosh x) y) (cosh x) x (* (cosh x) (/ (sin y) y)) (cosh x) 1 (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* y y) -1/6 (/ (* (sin y) (cosh x)) y) (* (sin y) (cosh x)) (cosh x) (+ (* (* x x) 1/2) 1) (* x x) 1/2 (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (* (* -1/6 y) y) (* -1/6 y) (* (cosh x) (/ (sin y) y)) (cosh x) (* x (* x (+ (/ 1 (* x x)) 1/2))) (* x (+ (/ 1 (* x x)) 1/2)) (+ (/ 1 (* x x)) 1/2) (/ 1 (* x x)) (/ (sin y) y) (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) (- (* 1/120 (* y y)) 1/6) (* 1/120 (* y y)) 1/120 1/6)
2.0ms
x
@inf
((* (sin y) (/ (cosh x) y)) (sin y) y (/ (cosh x) y) (cosh x) x (* (cosh x) (/ (sin y) y)) (cosh x) 1 (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* y y) -1/6 (/ (* (sin y) (cosh x)) y) (* (sin y) (cosh x)) (cosh x) (+ (* (* x x) 1/2) 1) (* x x) 1/2 (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (* (* -1/6 y) y) (* -1/6 y) (* (cosh x) (/ (sin y) y)) (cosh x) (* x (* x (+ (/ 1 (* x x)) 1/2))) (* x (+ (/ 1 (* x x)) 1/2)) (+ (/ 1 (* x x)) 1/2) (/ 1 (* x x)) (/ (sin y) y) (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) (- (* 1/120 (* y y)) 1/6) (* 1/120 (* y y)) 1/120 1/6)
2.0ms
y
@0
((* (sin y) (/ (cosh x) y)) (sin y) y (/ (cosh x) y) (cosh x) x (* (cosh x) (/ (sin y) y)) (cosh x) 1 (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* y y) -1/6 (/ (* (sin y) (cosh x)) y) (* (sin y) (cosh x)) (cosh x) (+ (* (* x x) 1/2) 1) (* x x) 1/2 (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (* (* -1/6 y) y) (* -1/6 y) (* (cosh x) (/ (sin y) y)) (cosh x) (* x (* x (+ (/ 1 (* x x)) 1/2))) (* x (+ (/ 1 (* x x)) 1/2)) (+ (/ 1 (* x x)) 1/2) (/ 1 (* x x)) (/ (sin y) y) (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) (- (* 1/120 (* y y)) 1/6) (* 1/120 (* y y)) 1/120 1/6)

rewrite205.0ms (6.1%)

Memory
35.2MiB live, 306.3MiB allocated; 82ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02481433
02811342
113411231
082521174
Stop Event
iter-limit
node-limit
iter-limit
Counts
93 → 344
Calls
Call 1
Inputs
(*.f64 #s(approx (sin y) y) (/.f64 (cosh.f64 x) y))
#s(approx (sin y) y)
y
(/.f64 (cosh.f64 x) y)
(cosh.f64 x)
x
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
#s(approx (cosh x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (sin 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)
(/.f64 (*.f64 #s(approx (sin y) y) #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) y)
(*.f64 #s(approx (sin y) y) #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 x x)
#s(literal 1/2 binary64)
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y))))
#s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))
#s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y))
(*.f64 (*.f64 #s(literal -1/6 binary64) y) y)
(*.f64 #s(literal -1/6 binary64) y)
(*.f64 #s(approx (cosh x) (*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (cosh x) (*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))))
(*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/120 binary64) (*.f64 y y))
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(approx (* (sin y) (/ (cosh x) y)) #s(hole binary64 (/ (sin y) y)))
#s(approx (* (sin y) (/ (cosh x) y)) #s(hole binary64 (+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))))
#s(approx (* (sin y) (/ (cosh x) y)) #s(hole binary64 (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))))
#s(approx (* (sin y) (/ (cosh x) y)) #s(hole binary64 (+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))))
#s(approx (/ (cosh x) y) #s(hole binary64 (/ 1 y)))
#s(approx (/ (cosh x) y) #s(hole binary64 (+ (* 1/2 (/ (pow x 2) y)) (/ 1 y))))
#s(approx (/ (cosh x) y) #s(hole binary64 (+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) y)) (* 1/2 (/ 1 y)))) (/ 1 y))))
#s(approx (/ (cosh 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 (cosh x) #s(hole binary64 1))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx x #s(hole binary64 x))
#s(approx (* (sin y) (cosh x)) #s(hole binary64 (sin y)))
#s(approx (* (sin y) (cosh x)) #s(hole binary64 (+ (sin y) (* 1/2 (* (pow x 2) (sin y))))))
#s(approx (* (sin y) (cosh x)) #s(hole binary64 (+ (sin y) (* (pow x 2) (+ (* 1/24 (* (pow x 2) (sin y))) (* 1/2 (sin y)))))))
#s(approx (* (sin y) (cosh x)) #s(hole binary64 (+ (sin y) (* (pow x 2) (+ (* 1/2 (sin y)) (* (pow x 2) (+ (* 1/720 (* (pow x 2) (sin y))) (* 1/24 (sin y)))))))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* x (+ (/ 1 (* x x)) 1/2)) #s(hole binary64 (/ 1 x)))
#s(approx (* x (+ (/ 1 (* x x)) 1/2)) #s(hole binary64 (/ (+ 1 (* 1/2 (pow x 2))) x)))
#s(approx (+ (/ 1 (* x x)) 1/2) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (+ (/ 1 (* x x)) 1/2) #s(hole binary64 (/ (+ 1 (* 1/2 (pow x 2))) (pow x 2))))
#s(approx (* (sin y) (/ (cosh x) y)) #s(hole binary64 (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))))
#s(approx (/ (cosh x) y) #s(hole binary64 (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (* (sin y) (cosh x)) #s(hole binary64 (* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))))
#s(approx (+ (* (* x x) 1/2) 1) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (+ (* (* x x) 1/2) 1) #s(hole binary64 (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))))
#s(approx (* x (+ (/ 1 (* x x)) 1/2)) #s(hole binary64 (* 1/2 x)))
#s(approx (* x (+ (/ 1 (* x x)) 1/2)) #s(hole binary64 (* x (+ 1/2 (/ 1 (pow x 2))))))
#s(approx (+ (/ 1 (* x x)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (/ 1 (* x x)) 1/2) #s(hole binary64 (+ 1/2 (/ 1 (pow x 2)))))
#s(approx (* (sin y) (/ (cosh x) y)) #s(hole binary64 (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))))
#s(approx (* (sin y) (/ (cosh x) y)) #s(hole binary64 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))))
#s(approx (* (sin y) (/ (cosh x) y)) #s(hole binary64 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))))
#s(approx (sin y) #s(hole binary64 y))
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* -1/6 (pow y 2))))))
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))))
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))))
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* -1/6 (pow y 2)))))
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (* (sin y) (cosh x)) #s(hole binary64 (* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))))
#s(approx (* (sin y) (cosh x)) #s(hole binary64 (* y (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))))))
#s(approx (* (sin y) (cosh x)) #s(hole binary64 (* y (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))))))
#s(approx (* (sin y) (cosh x)) #s(hole binary64 (* y (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))))))
#s(approx (* (* -1/6 y) y) #s(hole binary64 (* -1/6 (pow y 2))))
#s(approx (* -1/6 y) #s(hole binary64 (* -1/6 y)))
#s(approx (- (* 1/120 (* y y)) 1/6) #s(hole binary64 -1/6))
#s(approx (- (* 1/120 (* y y)) 1/6) #s(hole binary64 (- (* 1/120 (pow y 2)) 1/6)))
#s(approx (* 1/120 (* y y)) #s(hole binary64 (* 1/120 (pow y 2))))
#s(approx (+ (* (* y y) -1/6) 1) #s(hole binary64 (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))))
#s(approx (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* 1/120 (pow y 4))))
#s(approx (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))))
#s(approx (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))))
#s(approx (- (* 1/120 (* y y)) 1/6) #s(hole binary64 (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))))
Outputs
(*.f64 (/.f64 (cosh.f64 x) y) #s(approx (sin y) y))
(*.f64 #s(approx (sin y) y) (/.f64 (cosh.f64 x) y))
(/.f64 (neg.f64 (*.f64 #s(approx (sin y) y) (cosh.f64 x))) (neg.f64 y))
(/.f64 (*.f64 #s(approx (sin y) y) (cosh.f64 x)) y)
#s(approx (sin y) y)
y
(/.f64 (neg.f64 (neg.f64 (cosh.f64 x))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (cosh.f64 x)) (neg.f64 y))
(/.f64 (cosh.f64 x) y)
(neg.f64 (/.f64 (cosh.f64 x) (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 (cosh.f64 x)) y))
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(cosh.f64 (neg.f64 (neg.f64 x)))
(cosh.f64 (neg.f64 x))
(cosh.f64 x)
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
x
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) #s(approx (cosh x) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
#s(approx (cosh x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal -1 binary64))))))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))
(/.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal -1 binary64)))))
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
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(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 y y)))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 y) y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal -1 binary64))))) (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal -1 binary64))))))
(+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/36 binary64))) (neg.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) #s(literal 1/216 binary64))) (neg.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))
(/.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/36 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) #s(literal 1/216 binary64)) (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))
(fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))
(-.f64 (/.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) (/.f64 #s(literal 1/216 binary64) (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))
(-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(+.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(*.f64 (*.f64 #s(literal 1/120 binary64) y) y)
(*.f64 (*.f64 y y) #s(literal 1/120 binary64))
(*.f64 #s(literal 1/120 binary64) (*.f64 y y))
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(approx (* (sin y) (/ (cosh x) y)) (/.f64 (sin.f64 y) y))
#s(approx (* (sin y) (/ (cosh x) y)) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sin.f64 y)) y))
#s(approx (* (sin y) (/ (cosh x) y)) (fma.f64 (/.f64 (*.f64 (sin.f64 y) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) y) (*.f64 x x) (/.f64 (sin.f64 y) y)))
#s(approx (* (sin y) (/ (cosh x) y)) (fma.f64 (fma.f64 (/.f64 (*.f64 (sin.f64 y) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) y) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 y) y))) (*.f64 x x) (/.f64 (sin.f64 y) y)))
#s(approx (/ (cosh x) y) (/.f64 #s(literal 1 binary64) y))
#s(approx (/ (cosh x) y) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y))
#s(approx (/ (cosh x) y) (fma.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y) (*.f64 x x) (/.f64 #s(literal 1 binary64) y)))
#s(approx (/ (cosh x) y) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) y) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) (/.f64 #s(literal 1 binary64) y)))
#s(approx (cosh x) #s(literal 1 binary64))
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx x x)
#s(approx (* (sin y) (cosh x)) (sin.f64 y))
#s(approx (* (sin y) (cosh x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sin.f64 y)))
#s(approx (* (sin y) (cosh x)) (fma.f64 (*.f64 (sin.f64 y) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x x) (sin.f64 y)))
#s(approx (* (sin y) (cosh x)) (fma.f64 (fma.f64 (*.f64 (sin.f64 y) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 (sin.f64 y) #s(literal 1/2 binary64))) (*.f64 x x) (sin.f64 y)))
#s(approx (* x x) (*.f64 x x))
#s(approx (* x (+ (/ 1 (* x x)) 1/2)) (/.f64 #s(literal 1 binary64) x))
#s(approx (* x (+ (/ 1 (* x x)) 1/2)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (+ (/ 1 (* x x)) 1/2) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(approx (+ (/ 1 (* x x)) 1/2) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (* (sin y) (/ (cosh x) y)) (*.f64 (*.f64 (sin.f64 y) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (cosh x) y) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) #s(literal 1/2 binary64)))
#s(approx (cosh x) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64)))
#s(approx (* (sin y) (cosh x)) (*.f64 (*.f64 (sin.f64 y) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 1/2 binary64)))
#s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (+ (* (* x x) 1/2) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (* x (+ (/ 1 (* x x)) 1/2)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* x (+ (/ 1 (* x x)) 1/2)) (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (/ 1 (* x x)) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (/ 1 (* x x)) 1/2) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/2 binary64)))
#s(approx (* (sin y) (/ (cosh x) y)) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (fma.f64 #s(literal -1/12 binary64) (*.f64 y y) #s(literal 1/2 binary64))))
#s(approx (* (sin y) (/ (cosh x) y)) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (fma.f64 #s(literal 1/240 binary64) (*.f64 y y) #s(literal -1/12 binary64))) (*.f64 y y) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64))))
#s(approx (* (sin y) (/ (cosh x) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (fma.f64 #s(literal -1/10080 binary64) (*.f64 y y) #s(literal 1/240 binary64))) (*.f64 y y) (*.f64 #s(literal -1/12 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) (*.f64 y y) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64))))
#s(approx (sin y) y)
#s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))
#s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))
#s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))
#s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (* y y) (*.f64 y y))
#s(approx (* (sin y) (cosh x)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) #s(literal 1/2 binary64)))
#s(approx (* (sin y) (cosh x)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (fma.f64 #s(literal -1/12 binary64) (*.f64 y y) #s(literal 1/2 binary64))) y))
#s(approx (* (sin y) (cosh x)) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (fma.f64 #s(literal 1/240 binary64) (*.f64 y y) #s(literal -1/12 binary64))) (*.f64 y y) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64))) y))
#s(approx (* (sin y) (cosh x)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (fma.f64 #s(literal -1/10080 binary64) (*.f64 y y) #s(literal 1/240 binary64))) (*.f64 y y) (*.f64 #s(literal -1/12 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) (*.f64 y y) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64))) y))
#s(approx (* (* -1/6 y) y) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))
#s(approx (* -1/6 y) (*.f64 #s(literal -1/6 binary64) y))
#s(approx (- (* 1/120 (* y y)) 1/6) #s(literal -1/6 binary64))
#s(approx (- (* 1/120 (* y y)) 1/6) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))
#s(approx (* 1/120 (* y y)) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))
#s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y)))
#s(approx (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/120 binary64)))
#s(approx (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))) (*.f64 (*.f64 y y) (*.f64 y y))))
#s(approx (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (+.f64 #s(literal 1/120 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 #s(literal 1/6 binary64) (*.f64 y y)))) (*.f64 (*.f64 y y) (*.f64 y y))))
#s(approx (- (* 1/120 (* y y)) 1/6) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))) (*.f64 y y)))

eval43.0ms (1.3%)

Memory
-2.3MiB live, 94.0MiB allocated; 21ms collecting garbage
Compiler

Compiled 10 195 to 1 608 computations (84.2% saved)

prune19.0ms (0.6%)

Memory
-8.9MiB live, 36.9MiB allocated; 4ms collecting garbage
Pruning

23 alts after pruning (18 fresh and 5 done)

PrunedKeptTotal
New31410324
Fresh189
Picked325
Done033
Total31823341
Accuracy
99.9%
Counts
341 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.4%
(/.f64 (*.f64 (cosh.f64 x) #s(approx (sin y) y)) y)
47.0%
(/.f64 (*.f64 #s(approx (sin y) y) #s(approx (cosh x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) x))) y)
22.3%
(/.f64 (*.f64 #s(approx (sin y) y) #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) y)
11.4%
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y))))
49.9%
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
67.1%
(*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) (/.f64 (cosh.f64 x) y))
51.1%
(*.f64 #s(approx (sin y) y) (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) y))
28.3%
(*.f64 #s(approx (sin y) y) #s(approx (/ (cosh x) y) (/.f64 #s(literal 1 binary64) y)))
50.3%
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
48.8%
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
49.8%
(*.f64 #s(approx (cosh x) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
38.1%
(*.f64 #s(approx (cosh x) (*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))) #s(approx (/ (sin y) y) (fma.f64 #s(approx (- (* 1/120 (* y y)) 1/6) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
19.5%
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 #s(approx (sin y) y) y))
28.4%
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 #s(approx (sin y) y) y))
35.6%
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
33.5%
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
33.5%
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
33.5%
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) #s(literal -1/6 binary64) #s(literal 1 binary64))))
33.5%
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -1/6 binary64) y)) y))))
50.7%
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y))
34.9%
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y))
65.6%
#s(approx (* (cosh x) (/ (sin y) y)) (*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (fma.f64 (exp.f64 x) y (*.f64 y (exp.f64 (neg.f64 x)))) (*.f64 y y))))
50.6%
#s(approx (* (cosh x) (/ (sin y) y)) (*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) y)))
Compiler

Compiled 461 to 332 computations (28% saved)

regimes338.0ms (10%)

Memory
31.5MiB live, 605.0MiB allocated; 105ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
2 → 1
5 → 1
6 → 2
8 → 2
10 → 2
12 → 3
16 → 2
19 → 2
34 → 2
38 → 3
41 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 #s(approx (sin y) y) y))
(*.f64 #s(approx (sin y) y) #s(approx (/ (cosh x) y) (/.f64 #s(literal 1 binary64) y)))
Outputs
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 #s(approx (sin y) y) y))
Call 2
Inputs
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 #s(approx (sin y) y) y))
(*.f64 #s(approx (sin y) y) #s(approx (/ (cosh x) y) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
Call 3
Inputs
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 #s(approx (sin y) y) y))
(*.f64 #s(approx (sin y) y) #s(approx (/ (cosh x) y) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 #s(approx (sin y) y) y))
Outputs
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 #s(approx (sin y) y) y))
Call 4
Inputs
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 #s(approx (sin y) y) y))
(*.f64 #s(approx (sin y) y) #s(approx (/ (cosh x) y) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 #s(approx (sin y) y) y))
(/.f64 (*.f64 #s(approx (sin y) y) #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) y)
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -1/6 binary64) y)) y))))
Outputs
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(approx (sin y) y) #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) y)
Call 5
Inputs
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 #s(approx (sin y) y) y))
(*.f64 #s(approx (sin y) y) #s(approx (/ (cosh x) y) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 #s(approx (sin y) y) y))
(/.f64 (*.f64 #s(approx (sin y) y) #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) y)
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -1/6 binary64) y)) y))))
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 #s(approx (sin y) y) y))
Outputs
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y))
(/.f64 (*.f64 #s(approx (sin y) y) #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) y)
Call 6
Inputs
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 #s(approx (sin y) y) y))
(*.f64 #s(approx (sin y) y) #s(approx (/ (cosh x) y) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 #s(approx (sin y) y) y))
(/.f64 (*.f64 #s(approx (sin y) y) #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) y)
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -1/6 binary64) y)) y))))
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 #s(approx (sin y) y) y))
(*.f64 #s(approx (sin y) y) (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) y))
(/.f64 (*.f64 #s(approx (sin y) y) #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) y)
Outputs
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y))
(/.f64 (*.f64 #s(approx (sin y) y) #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) y)
(*.f64 #s(approx (sin y) y) (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) y))
Call 7
Inputs
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 #s(approx (sin y) y) y))
(*.f64 #s(approx (sin y) y) #s(approx (/ (cosh x) y) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 #s(approx (sin y) y) y))
(/.f64 (*.f64 #s(approx (sin y) y) #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) y)
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -1/6 binary64) y)) y))))
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 #s(approx (sin y) y) y))
(*.f64 #s(approx (sin y) y) (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) y))
(/.f64 (*.f64 #s(approx (sin y) y) #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) y)
(/.f64 (*.f64 (cosh.f64 x) #s(approx (sin y) y)) y)
(*.f64 #s(approx (sin y) y) (/.f64 (cosh.f64 x) y))
(*.f64 (cosh.f64 x) (/.f64 #s(approx (sin y) y) y))
(/.f64 (*.f64 #s(approx (sin y) y) #s(approx (cosh x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) x))) y)
Outputs
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y))
(/.f64 (*.f64 (cosh.f64 x) #s(approx (sin y) y)) y)
Call 8
Inputs
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 #s(approx (sin y) y) y))
(*.f64 #s(approx (sin y) y) #s(approx (/ (cosh x) y) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 #s(approx (sin y) y) y))
(/.f64 (*.f64 #s(approx (sin y) y) #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) y)
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -1/6 binary64) y)) y))))
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 #s(approx (sin y) y) y))
(*.f64 #s(approx (sin y) y) (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) y))
(/.f64 (*.f64 #s(approx (sin y) y) #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) y)
(/.f64 (*.f64 (cosh.f64 x) #s(approx (sin y) y)) y)
(*.f64 #s(approx (sin y) y) (/.f64 (cosh.f64 x) y))
(*.f64 (cosh.f64 x) (/.f64 #s(approx (sin y) y) y))
(/.f64 (*.f64 #s(approx (sin y) y) #s(approx (cosh x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) x))) y)
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 (*.f64 (cosh.f64 x) #s(approx (sin y) y)) y)
Call 9
Inputs
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 #s(approx (sin y) y) y))
(*.f64 #s(approx (sin y) y) #s(approx (/ (cosh x) y) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 #s(approx (sin y) y) y))
(/.f64 (*.f64 #s(approx (sin y) y) #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) y)
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -1/6 binary64) y)) y))))
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 #s(approx (sin y) y) y))
(*.f64 #s(approx (sin y) y) (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) y))
(/.f64 (*.f64 #s(approx (sin y) y) #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) y)
(/.f64 (*.f64 (cosh.f64 x) #s(approx (sin y) y)) y)
(*.f64 #s(approx (sin y) y) (/.f64 (cosh.f64 x) y))
(*.f64 (cosh.f64 x) (/.f64 #s(approx (sin y) y) y))
(/.f64 (*.f64 #s(approx (sin y) y) #s(approx (cosh x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) x))) y)
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y))))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) (*.f64 #s(approx (* (sin y) 1/2) (*.f64 #s(literal 1/2 binary64) y)) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y)))
(*.f64 #s(approx (cosh x) (*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))) #s(approx (/ (sin y) y) (fma.f64 #s(approx (- (* 1/120 (* y y)) 1/6) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) (/.f64 (cosh.f64 x) y))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) (*.f64 #s(approx (* (sin y) 1/2) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) y)) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y)))
(*.f64 #s(approx (cosh x) (*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
Outputs
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y))))
(/.f64 (*.f64 (cosh.f64 x) #s(approx (sin y) y)) y)
Call 10
Inputs
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 #s(approx (sin y) y) y))
(*.f64 #s(approx (sin y) y) #s(approx (/ (cosh x) y) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 #s(approx (sin y) y) y))
(/.f64 (*.f64 #s(approx (sin y) y) #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) y)
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -1/6 binary64) y)) y))))
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 #s(approx (sin y) y) y))
(*.f64 #s(approx (sin y) y) (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) y))
(/.f64 (*.f64 #s(approx (sin y) y) #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) y)
(/.f64 (*.f64 (cosh.f64 x) #s(approx (sin y) y)) y)
(*.f64 #s(approx (sin y) y) (/.f64 (cosh.f64 x) y))
(*.f64 (cosh.f64 x) (/.f64 #s(approx (sin y) y) y))
(/.f64 (*.f64 #s(approx (sin y) y) #s(approx (cosh x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) x))) y)
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y))))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) (*.f64 #s(approx (* (sin y) 1/2) (*.f64 #s(literal 1/2 binary64) y)) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y)))
(*.f64 #s(approx (cosh x) (*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))) #s(approx (/ (sin y) y) (fma.f64 #s(approx (- (* 1/120 (* y y)) 1/6) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) (/.f64 (cosh.f64 x) y))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) (*.f64 #s(approx (* (sin y) 1/2) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) y)) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y)))
(*.f64 #s(approx (cosh x) (*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) (*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) y)))
Outputs
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y))))
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
Call 11
Inputs
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 #s(approx (sin y) y) y))
(*.f64 #s(approx (sin y) y) #s(approx (/ (cosh x) y) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 #s(approx (sin y) y) y))
(/.f64 (*.f64 #s(approx (sin y) y) #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) y)
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -1/6 binary64) y)) y))))
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 #s(approx (sin y) y) y))
(*.f64 #s(approx (sin y) y) (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) y))
(/.f64 (*.f64 #s(approx (sin y) y) #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) y)
(/.f64 (*.f64 (cosh.f64 x) #s(approx (sin y) y)) y)
(*.f64 #s(approx (sin y) y) (/.f64 (cosh.f64 x) y))
(*.f64 (cosh.f64 x) (/.f64 #s(approx (sin y) y) y))
(/.f64 (*.f64 #s(approx (sin y) y) #s(approx (cosh x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) x))) y)
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y))))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) (*.f64 #s(approx (* (sin y) 1/2) (*.f64 #s(literal 1/2 binary64) y)) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y)))
(*.f64 #s(approx (cosh x) (*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))) #s(approx (/ (sin y) y) (fma.f64 #s(approx (- (* 1/120 (* y y)) 1/6) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) (/.f64 (cosh.f64 x) y))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) (*.f64 #s(approx (* (sin y) 1/2) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) y)) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y)))
(*.f64 #s(approx (cosh x) (*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) (*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) y)))
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
#s(approx (* (cosh x) (/ (sin y) y)) (*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y)))
#s(approx (* (cosh x) (/ (sin y) y)) (*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (fma.f64 (exp.f64 x) y (*.f64 y (exp.f64 (neg.f64 x)))) (*.f64 y y))))
Outputs
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Calls

42 calls:

46.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
25.0ms
(cosh.f64 x)
15.0ms
y
13.0ms
(/.f64 (sin.f64 y) y)
11.0ms
y
Results
AccuracySegmentsBranch
28.4%1y
28.4%1x
28.4%1(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
28.4%1(cosh.f64 x)
28.4%1(/.f64 (sin.f64 y) y)
33.5%1(/.f64 (sin.f64 y) y)
33.5%1(cosh.f64 x)
33.5%1x
33.5%1y
33.5%1(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
49.5%2(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
46.9%2(cosh.f64 x)
40.9%3(/.f64 (sin.f64 y) y)
48.2%2x
52.4%2(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
48.8%2y
53.8%2(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
54.4%3(/.f64 (sin.f64 y) y)
52.9%2x
51.1%1(cosh.f64 x)
55.6%2y
61.2%3(/.f64 (sin.f64 y) y)
58.3%2(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
74.6%2(/.f64 (sin.f64 y) y)
74.7%2(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
75.8%2(/.f64 (sin.f64 y) y)
75.8%2(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
69.6%2y
77.6%2(/.f64 (sin.f64 y) y)
67.4%1(cosh.f64 x)
67.4%1x
77.7%2(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
99.9%3(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
81.3%2(/.f64 (sin.f64 y) y)
89.7%2(cosh.f64 x)
80.4%2y
89.7%2x
99.9%1(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
99.9%1(/.f64 (sin.f64 y) y)
99.9%1(cosh.f64 x)
99.9%1y
99.9%1x
Compiler

Compiled 947 to 326 computations (65.6% saved)

bsearch1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
7.027991390234348e-12
0.9999611095667843
0.0ms
-inf
-3.483276311017586e-18
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.3103526380287952e-150
-1.2228576996313833e-167
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
-1.3103526380287952e-150
-1.2228576996313833e-167
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
1.3MiB live, 1.2MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.3103526380287952e-150
-1.2228576996313833e-167
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.995752347502064e-24
7.027991390234348e-12
0.0ms
-6.709322242040038e-305
5.0463635995638084e-300
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
1.0883332718418295
521.9129838816598
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0883332718418295
521.9129838816598
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0883332718418295
521.9129838816598
Compiler

Compiled 10 to 11 computations (-10% saved)

derivations543.0ms (16.1%)

Memory
-25.1MiB live, 465.2MiB allocated; 170ms collecting garbage
Stop Event
fuel
Compiler

Compiled 453 to 84 computations (81.5% saved)

preprocess147.0ms (4.4%)

Memory
-11.3MiB live, 172.6MiB allocated; 44ms collecting garbage
Remove

(abs y)

(abs x)

Compiler

Compiled 2 272 to 1 190 computations (47.6% saved)

end0.0ms (0%)

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

Profiling

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