Linear.Quaternion:$ccosh from linear-1.19.1.3

Time bar (total: 3.5s)

start0.0ms (0%)

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

analyze11.0ms (0.3%)

Memory
14.3MiB live, 14.3MiB 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
50%50%50%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
75%74.9%25%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
87.5%87.4%12.5%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
93.8%93.7%6.2%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
96.9%96.8%3.1%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
98.4%98.3%1.6%0.1%0%0%0%12
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.0s (29.1%)

Memory
-18.4MiB live, 1 210.5MiB allocated; 208ms collecting garbage
Samples
730.0ms8 255×0valid
0.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 528.0ms
ival-sin: 243.0ms (46% of total)
ival-sinh: 143.0ms (27.1% of total)
ival-mult!: 83.0ms (15.7% of total)
ival-div!: 57.0ms (10.8% of total)
adjust: 2.0ms (0.4% of total)
Bogosity

explain81.0ms (2.3%)

Memory
4.3MiB live, 156.3MiB allocated; 9ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
340-4(-1.8072527722915066e-133 1.6404329890611934e-179)(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
00-0-(sinh.f64 y)
00-0-y
00-0-(*.f64 (sin.f64 x) (sinh.f64 y))
00-0-(sin.f64 x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)u/n300
(*.f64 (sin.f64 x) (sinh.f64 y))underflow30
Confusion
Predicted +Predicted -
+304
-0222
Precision
1.0
Recall
0.8823529411764706
Confusion?
Predicted +Predicted MaybePredicted -
+3004
-00222
Precision?
1.0
Recall?
0.8823529411764706
Freqs
test
numberfreq
0226
130
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
37.0ms512×0valid
Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-sin: 15.0ms (63.9% of total)
ival-sinh: 3.0ms (12.8% of total)
ival-mult!: 3.0ms (12.8% of total)
ival-div!: 3.0ms (12.8% of total)
adjust: 0.0ms (0% of total)

preprocess27.0ms (0.8%)

Memory
-16.1MiB live, 30.1MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02048
15546
215646
339346
4163646
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.5%
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Symmetry

(abs x)

Compiler

Compiled 14 to 12 computations (14.3% saved)

series18.0ms (0.5%)

Memory
8.8MiB live, 58.2MiB allocated; 4ms collecting garbage
Counts
6 → 30
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
(*.f64 (sin.f64 x) (sinh.f64 y))
(sin.f64 x)
x
(sinh.f64 y)
y
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* 1/2 (* x (- (exp y) (/ 1 (exp y)))))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (/ (* y (sin x)) x)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x)))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* y (sin x))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))))))
#s(approx (sinh y) #s(hole binary64 y))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2))))))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))))
#s(approx y #s(hole binary64 y))
#s(approx (sinh y) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
Calls

6 calls:

TimeVariablePointExpression
8.0ms
y
@-inf
((/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (sin x) x (sinh y) y)
2.0ms
x
@-inf
((/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (sin x) x (sinh y) y)
2.0ms
y
@inf
((/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (sin x) x (sinh y) y)
2.0ms
x
@inf
((/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (sin x) x (sinh y) y)
1.0ms
x
@0
((/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (sin x) x (sinh y) y)

rewrite143.0ms (4.1%)

Memory
10.3MiB live, 290.3MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0150717
0154694
1850596
08099562
Stop Event
iter-limit
node-limit
iter-limit
Counts
36 → 50
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
(*.f64 (sin.f64 x) (sinh.f64 y))
(sin.f64 x)
x
(sinh.f64 y)
y
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* 1/2 (* x (- (exp y) (/ 1 (exp y)))))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (/ (* y (sin x)) x)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x)))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* y (sin x))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))))))
#s(approx (sinh y) #s(hole binary64 y))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2))))))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))))
#s(approx y #s(hole binary64 y))
#s(approx (sinh y) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
Outputs
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 x)) (sinh.f64 y))) (neg.f64 (neg.f64 x)))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (sinh.f64 y)) (neg.f64 x))
(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x)
(neg.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 x)) (sinh.f64 y)) x))
(neg.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (neg.f64 x)))
(*.f64 (sinh.f64 y) (sin.f64 x))
(*.f64 (sin.f64 x) (sinh.f64 y))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (sin.f64 x)) #s(literal 2 binary64))
(sin.f64 x)
x
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal -2 binary64))
(/.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) #s(literal 2 binary64)))
(/.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 y) #s(literal 3 binary64)))) (*.f64 (+.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64))) #s(literal 1 binary64)) (exp.f64 (+.f64 y y))) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 2 binary64))
(sinh.f64 y)
(-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64)))
y
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (* (sin x) (sinh y)) x) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal -1/12 binary64))) (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))))
#s(approx (/ (* (sin x) (sinh y)) x) (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (fma.f64 #s(literal -1/10080 binary64) (*.f64 x x) #s(literal 1/240 binary64))) (*.f64 x x)) (*.f64 x x))))
#s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) x) #s(literal 1/2 binary64)))
#s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) x))
#s(approx (* (sin x) (sinh y)) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal -1/12 binary64))) (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))) x))
#s(approx (* (sin x) (sinh y)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (fma.f64 #s(literal -1/10080 binary64) (*.f64 x x) #s(literal 1/240 binary64))) (*.f64 x x)) (*.f64 x x))) x))
#s(approx (sin x) x)
#s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (fma.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x))
#s(approx x x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) x)))
#s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))
#s(approx (sin x) (sin.f64 x))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) x) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (fma.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) x) (*.f64 y y) (/.f64 (sin.f64 x) x)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (+.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) x) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (/.f64 (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) x))) y))
#s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y))
#s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) y))
#s(approx (* (sin x) (sinh y)) (*.f64 (fma.f64 (*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (*.f64 y y) (sin.f64 x)) y))
#s(approx (* (sin x) (sinh y)) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x) (*.f64 (*.f64 (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y)) (*.f64 y y))) y))
#s(approx (sinh y) y)
#s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))
#s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))
#s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))
#s(approx y y)
#s(approx (sinh y) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))

eval5.0ms (0.1%)

Memory
13.1MiB live, 13.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 812 to 212 computations (73.9% saved)

prune4.0ms (0.1%)

Memory
12.8MiB live, 12.8MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New39746
Fresh000
Picked101
Done000
Total40747
Accuracy
100.0%
Counts
47 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.6%
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x)
43.0%
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) y)) x)
99.9%
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
86.5%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) x) y))
54.4%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
60.5%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
64.2%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))
Compiler

Compiled 210 to 158 computations (24.8% saved)

series28.0ms (0.8%)

Memory
-43.9MiB live, 59.5MiB allocated; 11ms collecting garbage
Counts
22 → 78
Calls
Call 1
Inputs
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
(/.f64 (sinh.f64 y) x)
(sinh.f64 y)
y
x
(sin.f64 x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))
(*.f64 #s(literal 2 binary64) (sinh.f64 y))
#s(literal 2 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
(*.f64 (/.f64 (sin.f64 x) x) y)
(/.f64 (sin.f64 x) x)
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) y)) x)
(*.f64 (sin.f64 x) #s(approx (sinh y) y))
#s(approx (sinh y) y)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(*.f64 x x)
#s(literal -1/12 binary64)
Outputs
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))))
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))))
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))))
#s(approx (/ (sinh y) x) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))))
#s(approx x #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))))
#s(approx (* (/ (sin x) x) y) #s(hole binary64 y))
#s(approx (* (/ (sin x) x) y) #s(hole binary64 (+ y (* -1/6 (* (pow x 2) y)))))
#s(approx (* (/ (sin x) x) y) #s(hole binary64 (+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y)))))))
#s(approx (* (/ (sin x) x) y) #s(hole binary64 (+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y))))))))
#s(approx (/ (sin x) x) #s(hole binary64 1))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* 1/2 (* x (- (exp y) (/ 1 (exp y)))))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))))))
#s(approx (* (* 2 (sinh y)) (+ (* (* x x) -1/12) 1/2)) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
#s(approx (* (* 2 (sinh y)) (+ (* (* x x) -1/12) 1/2)) #s(hole binary64 (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))))
#s(approx (+ (* (* x x) -1/12) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* x x) -1/12) 1/2) #s(hole binary64 (+ 1/2 (* -1/12 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))))
#s(approx (* (/ (sin x) x) y) #s(hole binary64 (/ (* y (sin x)) x)))
#s(approx (/ (sin x) x) #s(hole binary64 (/ (sin x) x)))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))))
#s(approx (* (* 2 (sinh y)) (+ (* (* x x) -1/12) 1/2)) #s(hole binary64 (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))
#s(approx (* (* 2 (sinh y)) (+ (* (* x x) -1/12) 1/2)) #s(hole binary64 (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (pow x 2)))))))
#s(approx (+ (* (* x x) -1/12) 1/2) #s(hole binary64 (* -1/12 (pow x 2))))
#s(approx (+ (* (* x x) -1/12) 1/2) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/12))))
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (/ (* y (sin x)) x)))
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))))
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))))
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x)))))
#s(approx (/ (sinh y) x) #s(hole binary64 (/ y x)))
#s(approx (/ (sinh y) x) #s(hole binary64 (* y (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x)))))
#s(approx (/ (sinh y) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))))
#s(approx (/ (sinh y) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))))
#s(approx (sinh y) #s(hole binary64 y))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2))))))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))))
#s(approx y #s(hole binary64 y))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (/ (* y (sin x)) x)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x)))))
#s(approx (* (* 2 (sinh y)) 1/2) #s(hole binary64 y))
#s(approx (* (* 2 (sinh y)) 1/2) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2))))))
#s(approx (* (* 2 (sinh y)) 1/2) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))
#s(approx (* (* 2 (sinh y)) 1/2) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))))
#s(approx (* 2 (sinh y)) #s(hole binary64 (* 2 y)))
#s(approx (* 2 (sinh y)) #s(hole binary64 (* y (+ 2 (* 1/3 (pow y 2))))))
#s(approx (* 2 (sinh y)) #s(hole binary64 (* y (+ 2 (* (pow y 2) (+ 1/3 (* 1/60 (pow y 2))))))))
#s(approx (* 2 (sinh y)) #s(hole binary64 (* y (+ 2 (* (pow y 2) (+ 1/3 (* (pow y 2) (+ 1/60 (* 1/2520 (pow y 2))))))))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* y (sin x))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))))))
#s(approx (* (* 2 (sinh y)) (+ (* (* x x) -1/12) 1/2)) #s(hole binary64 (* 2 (* y (+ 1/2 (* -1/12 (pow x 2)))))))
#s(approx (* (* 2 (sinh y)) (+ (* (* x x) -1/12) 1/2)) #s(hole binary64 (* y (+ (* 1/3 (* (pow y 2) (+ 1/2 (* -1/12 (pow x 2))))) (* 2 (+ 1/2 (* -1/12 (pow x 2))))))))
#s(approx (* (* 2 (sinh y)) (+ (* (* x x) -1/12) 1/2)) #s(hole binary64 (* y (+ (* 2 (+ 1/2 (* -1/12 (pow x 2)))) (* (pow y 2) (+ (* 1/60 (* (pow y 2) (+ 1/2 (* -1/12 (pow x 2))))) (* 1/3 (+ 1/2 (* -1/12 (pow x 2))))))))))
#s(approx (* (* 2 (sinh y)) (+ (* (* x x) -1/12) 1/2)) #s(hole binary64 (* y (+ (* 2 (+ 1/2 (* -1/12 (pow x 2)))) (* (pow y 2) (+ (* 1/3 (+ 1/2 (* -1/12 (pow x 2)))) (* (pow y 2) (+ (* 1/2520 (* (pow y 2) (+ 1/2 (* -1/12 (pow x 2))))) (* 1/60 (+ 1/2 (* -1/12 (pow x 2))))))))))))
#s(approx (sinh y) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
#s(approx (* (* 2 (sinh y)) 1/2) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
#s(approx (* 2 (sinh y)) #s(hole binary64 (- (exp y) (/ 1 (exp y)))))
#s(approx (* (* 2 (sinh y)) (+ (* (* x x) -1/12) 1/2)) #s(hole binary64 (* (+ 1/2 (* -1/12 (pow x 2))) (- (exp y) (/ 1 (exp y))))))
Calls

6 calls:

TimeVariablePointExpression
8.0ms
y
@-inf
((* (/ (sinh y) x) (sin x)) (/ (sinh y) x) (sinh y) y x (sin x) (/ (* (sin x) (sinh y)) x) (* (* 2 (sinh y)) 1/2) (* 2 (sinh y)) 2 1/2 (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (sinh y) (/ (* (sin x) (sinh y)) x) (* (* 2 (sinh y)) (+ (* (* x x) -1/12) 1/2)) (+ (* (* x x) -1/12) 1/2) (* x x) -1/12)
5.0ms
y
@0
((* (/ (sinh y) x) (sin x)) (/ (sinh y) x) (sinh y) y x (sin x) (/ (* (sin x) (sinh y)) x) (* (* 2 (sinh y)) 1/2) (* 2 (sinh y)) 2 1/2 (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (sinh y) (/ (* (sin x) (sinh y)) x) (* (* 2 (sinh y)) (+ (* (* x x) -1/12) 1/2)) (+ (* (* x x) -1/12) 1/2) (* x x) -1/12)
4.0ms
x
@-inf
((* (/ (sinh y) x) (sin x)) (/ (sinh y) x) (sinh y) y x (sin x) (/ (* (sin x) (sinh y)) x) (* (* 2 (sinh y)) 1/2) (* 2 (sinh y)) 2 1/2 (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (sinh y) (/ (* (sin x) (sinh y)) x) (* (* 2 (sinh y)) (+ (* (* x x) -1/12) 1/2)) (+ (* (* x x) -1/12) 1/2) (* x x) -1/12)
3.0ms
x
@inf
((* (/ (sinh y) x) (sin x)) (/ (sinh y) x) (sinh y) y x (sin x) (/ (* (sin x) (sinh y)) x) (* (* 2 (sinh y)) 1/2) (* 2 (sinh y)) 2 1/2 (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (sinh y) (/ (* (sin x) (sinh y)) x) (* (* 2 (sinh y)) (+ (* (* x x) -1/12) 1/2)) (+ (* (* x x) -1/12) 1/2) (* x x) -1/12)
3.0ms
x
@0
((* (/ (sinh y) x) (sin x)) (/ (sinh y) x) (sinh y) y x (sin x) (/ (* (sin x) (sinh y)) x) (* (* 2 (sinh y)) 1/2) (* 2 (sinh y)) 2 1/2 (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (sinh y) (/ (* (sin x) (sinh y)) x) (* (* 2 (sinh y)) (+ (* (* x x) -1/12) 1/2)) (+ (* (* x x) -1/12) 1/2) (* x x) -1/12)

rewrite161.0ms (4.6%)

Memory
47.3MiB live, 324.2MiB allocated; 16ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03081946
03321770
117151752
084181674
Stop Event
iter-limit
node-limit
iter-limit
Counts
100 → 208
Calls
Call 1
Inputs
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
(/.f64 (sinh.f64 y) x)
(sinh.f64 y)
y
x
(sin.f64 x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))
(*.f64 #s(literal 2 binary64) (sinh.f64 y))
#s(literal 2 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
(*.f64 (/.f64 (sin.f64 x) x) y)
(/.f64 (sin.f64 x) x)
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) y)) x)
(*.f64 (sin.f64 x) #s(approx (sinh y) y))
#s(approx (sinh y) y)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(*.f64 x x)
#s(literal -1/12 binary64)
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))))
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))))
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))))
#s(approx (/ (sinh y) x) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))))
#s(approx x #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))))
#s(approx (* (/ (sin x) x) y) #s(hole binary64 y))
#s(approx (* (/ (sin x) x) y) #s(hole binary64 (+ y (* -1/6 (* (pow x 2) y)))))
#s(approx (* (/ (sin x) x) y) #s(hole binary64 (+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y)))))))
#s(approx (* (/ (sin x) x) y) #s(hole binary64 (+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y))))))))
#s(approx (/ (sin x) x) #s(hole binary64 1))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* 1/2 (* x (- (exp y) (/ 1 (exp y)))))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))))))
#s(approx (* (* 2 (sinh y)) (+ (* (* x x) -1/12) 1/2)) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
#s(approx (* (* 2 (sinh y)) (+ (* (* x x) -1/12) 1/2)) #s(hole binary64 (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))))
#s(approx (+ (* (* x x) -1/12) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* x x) -1/12) 1/2) #s(hole binary64 (+ 1/2 (* -1/12 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))))
#s(approx (* (/ (sin x) x) y) #s(hole binary64 (/ (* y (sin x)) x)))
#s(approx (/ (sin x) x) #s(hole binary64 (/ (sin x) x)))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))))
#s(approx (* (* 2 (sinh y)) (+ (* (* x x) -1/12) 1/2)) #s(hole binary64 (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))
#s(approx (* (* 2 (sinh y)) (+ (* (* x x) -1/12) 1/2)) #s(hole binary64 (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (pow x 2)))))))
#s(approx (+ (* (* x x) -1/12) 1/2) #s(hole binary64 (* -1/12 (pow x 2))))
#s(approx (+ (* (* x x) -1/12) 1/2) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/12))))
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (/ (* y (sin x)) x)))
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))))
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))))
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x)))))
#s(approx (/ (sinh y) x) #s(hole binary64 (/ y x)))
#s(approx (/ (sinh y) x) #s(hole binary64 (* y (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x)))))
#s(approx (/ (sinh y) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))))
#s(approx (/ (sinh y) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))))
#s(approx (sinh y) #s(hole binary64 y))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2))))))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))))
#s(approx y #s(hole binary64 y))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (/ (* y (sin x)) x)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x)))))
#s(approx (* (* 2 (sinh y)) 1/2) #s(hole binary64 y))
#s(approx (* (* 2 (sinh y)) 1/2) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2))))))
#s(approx (* (* 2 (sinh y)) 1/2) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))
#s(approx (* (* 2 (sinh y)) 1/2) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))))
#s(approx (* 2 (sinh y)) #s(hole binary64 (* 2 y)))
#s(approx (* 2 (sinh y)) #s(hole binary64 (* y (+ 2 (* 1/3 (pow y 2))))))
#s(approx (* 2 (sinh y)) #s(hole binary64 (* y (+ 2 (* (pow y 2) (+ 1/3 (* 1/60 (pow y 2))))))))
#s(approx (* 2 (sinh y)) #s(hole binary64 (* y (+ 2 (* (pow y 2) (+ 1/3 (* (pow y 2) (+ 1/60 (* 1/2520 (pow y 2))))))))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* y (sin x))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))))))
#s(approx (* (* 2 (sinh y)) (+ (* (* x x) -1/12) 1/2)) #s(hole binary64 (* 2 (* y (+ 1/2 (* -1/12 (pow x 2)))))))
#s(approx (* (* 2 (sinh y)) (+ (* (* x x) -1/12) 1/2)) #s(hole binary64 (* y (+ (* 1/3 (* (pow y 2) (+ 1/2 (* -1/12 (pow x 2))))) (* 2 (+ 1/2 (* -1/12 (pow x 2))))))))
#s(approx (* (* 2 (sinh y)) (+ (* (* x x) -1/12) 1/2)) #s(hole binary64 (* y (+ (* 2 (+ 1/2 (* -1/12 (pow x 2)))) (* (pow y 2) (+ (* 1/60 (* (pow y 2) (+ 1/2 (* -1/12 (pow x 2))))) (* 1/3 (+ 1/2 (* -1/12 (pow x 2))))))))))
#s(approx (* (* 2 (sinh y)) (+ (* (* x x) -1/12) 1/2)) #s(hole binary64 (* y (+ (* 2 (+ 1/2 (* -1/12 (pow x 2)))) (* (pow y 2) (+ (* 1/3 (+ 1/2 (* -1/12 (pow x 2)))) (* (pow y 2) (+ (* 1/2520 (* (pow y 2) (+ 1/2 (* -1/12 (pow x 2))))) (* 1/60 (+ 1/2 (* -1/12 (pow x 2))))))))))))
#s(approx (sinh y) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
#s(approx (* (* 2 (sinh y)) 1/2) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
#s(approx (* 2 (sinh y)) #s(hole binary64 (- (exp y) (/ 1 (exp y)))))
#s(approx (* (* 2 (sinh y)) (+ (* (* x x) -1/12) 1/2)) #s(hole binary64 (* (+ 1/2 (* -1/12 (pow x 2))) (- (exp y) (/ 1 (exp y))))))
Outputs
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) (neg.f64 x))
(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x)
(/.f64 (neg.f64 (sinh.f64 (neg.f64 y))) (neg.f64 (neg.f64 x)))
(/.f64 (sinh.f64 (neg.f64 y)) (neg.f64 x))
(/.f64 (sinh.f64 y) x)
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 2 binary64))
(sinh.f64 y)
(-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64)))
(+.f64 (/.f64 (sinh.f64 y) #s(literal 2 binary64)) (/.f64 (sinh.f64 y) #s(literal 2 binary64)))
y
x
(sin.f64 x)
#s(approx (* (/ (sinh y) x) (sin x)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 y) #s(literal 1/2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (+.f64 y y) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 y y) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (sinh.f64 y))
(*.f64 (sinh.f64 y) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (sinh.f64 y) (sinh.f64 y)) (*.f64 (sinh.f64 y) (sinh.f64 y))) (-.f64 (sinh.f64 y) (sinh.f64 y)))
(/.f64 (+.f64 (pow.f64 (sinh.f64 y) #s(literal 3 binary64)) (pow.f64 (sinh.f64 y) #s(literal 3 binary64))) (fma.f64 (sinh.f64 y) (sinh.f64 y) (-.f64 (*.f64 (sinh.f64 y) (sinh.f64 y)) (*.f64 (sinh.f64 y) (sinh.f64 y)))))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 y) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64))))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 y) #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (+.f64 y y)) (+.f64 (exp.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64))) (exp.f64 (+.f64 y (neg.f64 y)))))))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) #s(literal 4 binary64))
(/.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))
(/.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 y) #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 y y)) (+.f64 (exp.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64))) (exp.f64 (+.f64 y (neg.f64 y))))))
(-.f64 (/.f64 (exp.f64 (+.f64 y y)) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) (/.f64 (exp.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 y))))
(-.f64 (/.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 y y)) (+.f64 (exp.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64))) (exp.f64 (+.f64 y (neg.f64 y)))))) (/.f64 (exp.f64 (*.f64 (neg.f64 y) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 y y)) (+.f64 (exp.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64))) (exp.f64 (+.f64 y (neg.f64 y)))))))
(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))
(+.f64 (sinh.f64 y) (sinh.f64 y))
#s(literal 2 binary64)
#s(literal 1/2 binary64)
#s(approx (* (/ (sinh y) x) (sin x)) (*.f64 (/.f64 (sin.f64 x) x) y))
(*.f64 (/.f64 (sin.f64 x) x) y)
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 x) y))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) y)) (neg.f64 x))
(/.f64 (*.f64 (sin.f64 x) y) x)
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 x))
(/.f64 (sin.f64 x) x)
(*.f64 (sin.f64 x) (/.f64 #s(approx (sinh y) y) x))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(approx (sinh y) y) (sin.f64 x)))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 #s(approx (sinh y) y) (sin.f64 x))) (neg.f64 x))
(/.f64 (*.f64 #s(approx (sinh y) y) (sin.f64 x)) x)
(*.f64 #s(approx (sinh y) y) (sin.f64 x))
(*.f64 (sin.f64 x) #s(approx (sinh y) y))
#s(approx (sinh y) y)
#s(approx (* (/ (sinh y) x) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 y) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/12 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/12 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/12 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/12 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/12 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/12 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/12 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/12 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/12 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/12 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/1728 binary64) (pow.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/12 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/12 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/12 binary64)) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))) #s(literal 1/4 binary64)) (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64))))) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 y))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/12 binary64)) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))) #s(literal 1/4 binary64)) (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 y) #s(literal 3 binary64))))) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (+.f64 y y)) (+.f64 (exp.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64))) (exp.f64 (+.f64 y (neg.f64 y)))))))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/12 binary64)) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))) (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 y))))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/12 binary64)) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))) (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 y) #s(literal 3 binary64))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))) (+.f64 (exp.f64 (+.f64 y y)) (+.f64 (exp.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64))) (exp.f64 (+.f64 y (neg.f64 y)))))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/12 binary64)) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)) #s(literal 1/8 binary64)) (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64))))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/12 binary64)) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))) (*.f64 #s(literal 2 binary64) (cosh.f64 y))))
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#s(approx (* (/ (sinh y) x) (sin x)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))
#s(approx (* (/ (sinh y) x) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))
#s(approx (* (/ (sinh y) x) (sin x)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal -1/12 binary64))) (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))))
#s(approx (* (/ (sinh y) x) (sin x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/10080 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 #s(literal 1/240 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal -1/12 binary64))) (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))))
#s(approx (/ (sinh y) x) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) x) #s(literal 1/2 binary64)))
#s(approx x x)
#s(approx (sin x) x)
#s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (* (/ (sinh y) x) (sin x)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))
#s(approx (* (/ (sinh y) x) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))
#s(approx (* (/ (sinh y) x) (sin x)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal -1/12 binary64))) (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))))
#s(approx (* (/ (sinh y) x) (sin x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/10080 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 #s(literal 1/240 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal -1/12 binary64))) (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))))
#s(approx (* (/ (sin x) x) y) y)
#s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 (*.f64 x x) y) #s(literal -1/6 binary64) y))
#s(approx (* (/ (sin x) x) y) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) y)) (*.f64 x x) y))
#s(approx (* (/ (sin x) x) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) y)) (*.f64 x x) (*.f64 #s(literal -1/6 binary64) y)) (*.f64 x x) y))
#s(approx (/ (sin x) x) #s(literal 1 binary64))
#s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) x) #s(literal 1/2 binary64)))
#s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) x))
#s(approx (* (sin x) (sinh y)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal -1/12 binary64))) (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))) x))
#s(approx (* (sin x) (sinh y)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/10080 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 #s(literal 1/240 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal -1/12 binary64))) (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))) x))
#s(approx (* (* 2 (sinh y)) (+ (* (* x x) -1/12) 1/2)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))
#s(approx (* (* 2 (sinh y)) (+ (* (* x x) -1/12) 1/2)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))
#s(approx (+ (* (* x x) -1/12) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (* x x) -1/12) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (* (/ (sinh y) x) (sin x)) (*.f64 (*.f64 (sin.f64 x) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) x)) #s(literal 1/2 binary64)))
#s(approx (sin x) (sin.f64 x))
#s(approx (* (/ (sinh y) x) (sin x)) (*.f64 (*.f64 (sin.f64 x) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) x)) #s(literal 1/2 binary64)))
#s(approx (* (/ (sin x) x) y) (*.f64 (/.f64 (sin.f64 x) x) y))
#s(approx (/ (sin x) x) (/.f64 (sin.f64 x) x))
#s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))
#s(approx (* (* 2 (sinh y)) (+ (* (* x x) -1/12) 1/2)) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/12 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))
#s(approx (* (* 2 (sinh y)) (+ (* (* x x) -1/12) 1/2)) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 x x)) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal -1/12 binary64))) (*.f64 x x)))
#s(approx (+ (* (* x x) -1/12) 1/2) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))
#s(approx (+ (* (* x x) -1/12) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/12 binary64)) (*.f64 x x)))
#s(approx (* (/ (sinh y) x) (sin x)) (*.f64 (/.f64 (sin.f64 x) x) y))
#s(approx (* (/ (sinh y) x) (sin x)) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x) (sin.f64 x)) x) y))
#s(approx (* (/ (sinh y) x) (sin x)) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (sin.f64 x) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) x) (*.f64 y y) (/.f64 (sin.f64 x) x)) y))
#s(approx (* (/ (sinh y) x) (sin x)) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 y y)) (sin.f64 x) (*.f64 #s(literal 1/120 binary64) (sin.f64 x))) x) (*.f64 y y) (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/6 binary64))) (*.f64 y y) (/.f64 (sin.f64 x) x)) y))
#s(approx (/ (sinh y) x) (/.f64 y x))
#s(approx (/ (sinh y) x) (*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) y))
#s(approx (/ (sinh y) x) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) x) (*.f64 y y) (/.f64 #s(literal 1 binary64) x)) y))
#s(approx (/ (sinh y) x) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) x) (*.f64 y y) (/.f64 #s(literal 1/6 binary64) x)) (*.f64 y y) (/.f64 #s(literal 1 binary64) x)) y))
#s(approx (sinh y) y)
#s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))
#s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))
#s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))
#s(approx y y)
#s(approx (* (/ (sinh y) x) (sin x)) (*.f64 (/.f64 (sin.f64 x) x) y))
#s(approx (* (/ (sinh y) x) (sin x)) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x) (sin.f64 x)) x) y))
#s(approx (* (/ (sinh y) x) (sin x)) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (sin.f64 x) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) x) (*.f64 y y) (/.f64 (sin.f64 x) x)) y))
#s(approx (* (/ (sinh y) x) (sin x)) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 y y)) (sin.f64 x) (*.f64 #s(literal 1/120 binary64) (sin.f64 x))) x) (*.f64 y y) (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/6 binary64))) (*.f64 y y) (/.f64 (sin.f64 x) x)) y))
#s(approx (* (* 2 (sinh y)) 1/2) y)
#s(approx (* (* 2 (sinh y)) 1/2) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))
#s(approx (* (* 2 (sinh y)) 1/2) (*.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 (* (* 2 (sinh y)) 1/2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))
#s(approx (* 2 (sinh y)) (+.f64 y y))
#s(approx (* 2 (sinh y)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y))
#s(approx (* 2 (sinh y)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y))
#s(approx (* 2 (sinh y)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y))
#s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y))
#s(approx (* (sin x) (sinh y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x) (sin.f64 x)) y))
#s(approx (* (sin x) (sinh y)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (sin.f64 x) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) (*.f64 y y) (sin.f64 x)) y))
#s(approx (* (sin x) (sinh y)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 y y)) (sin.f64 x) (*.f64 #s(literal 1/120 binary64) (sin.f64 x))) (*.f64 y y) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) (*.f64 y y) (sin.f64 x)) y))
#s(approx (* (* 2 (sinh y)) (+ (* (* x x) -1/12) 1/2)) (*.f64 (+.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 2 (sinh y)) (+ (* (* x x) -1/12) 1/2)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) #s(literal 1/3 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) y))
#s(approx (* (* 2 (sinh y)) (+ (* (* x x) -1/12) 1/2)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) #s(literal 1/60 binary64) (*.f64 #s(literal 1/3 binary64) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) (*.f64 y y) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) y))
#s(approx (* (* 2 (sinh y)) (+ (* (* x x) -1/12) 1/2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) (*.f64 y y) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) y))
#s(approx (sinh y) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))
#s(approx (* (* 2 (sinh y)) 1/2) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))
#s(approx (* 2 (sinh y)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))
#s(approx (* (* 2 (sinh y)) (+ (* (* x x) -1/12) 1/2)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))

eval41.0ms (1.2%)

Memory
-8.4MiB live, 88.2MiB allocated; 23ms collecting garbage
Compiler

Compiled 6 798 to 906 computations (86.7% saved)

prune48.0ms (1.4%)

Memory
-19.4MiB live, 27.1MiB allocated; 9ms collecting garbage
Pruning

17 alts after pruning (14 fresh and 3 done)

PrunedKeptTotal
New21913232
Fresh112
Picked235
Done000
Total22217239
Accuracy
100.0%
Counts
239 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.6%
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x)
43.0%
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) y)) x)
23.3%
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) y)) x)
22.2%
(/.f64 (*.f64 #s(approx (sin x) x) #s(approx (sinh y) y)) x)
90.4%
(*.f64 (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) x) (sin.f64 x))
66.8%
(*.f64 (sin.f64 x) (/.f64 #s(approx (sinh y) y) x))
54.4%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
64.2%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))
37.9%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
34.8%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y))
53.4%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* 2 (sinh y)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
37.9%
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) y)) (*.f64 x x) y)))
34.8%
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 (*.f64 x x) y) #s(literal -1/6 binary64) y)))
27.8%
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) y))
59.6%
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (* 2 (sinh y)) 1/2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))
57.4%
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (* 2 (sinh y)) 1/2) (*.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)))
53.1%
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (* 2 (sinh y)) 1/2) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)))
Compiler

Compiled 645 to 435 computations (32.6% saved)

series18.0ms (0.5%)

Memory
30.3MiB live, 30.3MiB allocated; 0ms collecting garbage
Counts
31 → 84
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) x) (sin.f64 x))
(/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) x)
#s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(literal 1 binary64)
x
(sin.f64 x)
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) y))
#s(approx (* (/ (sin x) x) y) y)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y))
(*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)
#s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -1/6 binary64)
(*.f64 x x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
(*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)
#s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/120 binary64) (*.f64 x x))
#s(literal 1/120 binary64)
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) y)) x)
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) y))
#s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)
#s(approx (sinh y) y)
Outputs
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))))
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))))
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))))
#s(approx (/ (sinh y) x) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))))
#s(approx x #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))))
#s(approx (* (/ (sin x) x) y) #s(hole binary64 y))
#s(approx (* (/ (sin x) x) y) #s(hole binary64 (+ y (* -1/6 (* (pow x 2) y)))))
#s(approx (* (/ (sin x) x) y) #s(hole binary64 (+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y)))))))
#s(approx (* (/ (sin x) x) y) #s(hole binary64 (+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y))))))))
#s(approx (/ (sin x) x) #s(hole binary64 1))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))
#s(approx (- (* 1/120 (* x x)) 1/6) #s(hole binary64 -1/6))
#s(approx (- (* 1/120 (* x x)) 1/6) #s(hole binary64 (- (* 1/120 (pow x 2)) 1/6)))
#s(approx (* 1/120 (* x x)) #s(hole binary64 (* 1/120 (pow x 2))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* 1/2 (* x (- (exp y) (/ 1 (exp y)))))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))))))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))))
#s(approx (* (/ (sin x) x) y) #s(hole binary64 (/ (* y (sin x)) x)))
#s(approx (/ (sin x) x) #s(hole binary64 (/ (sin x) x)))
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary64 (* -1/6 (pow x 2))))
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* 1/120 (pow x 4))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (- (* 1/120 (* x x)) 1/6) #s(hole binary64 (* 1/120 (pow x 2))))
#s(approx (- (* 1/120 (* x x)) 1/6) #s(hole binary64 (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* -1/6 (pow x 3))))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (/ (* y (sin x)) x)))
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))))
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))))
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x)))))
#s(approx (/ (sinh y) x) #s(hole binary64 (/ y x)))
#s(approx (/ (sinh y) x) #s(hole binary64 (* y (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x)))))
#s(approx (/ (sinh y) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))))
#s(approx (/ (sinh y) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))))
#s(approx (sinh y) #s(hole binary64 y))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2))))))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))))
#s(approx (* (+ (* (* y y) 1/6) 1) y) #s(hole binary64 y))
#s(approx (* (+ (* (* y y) 1/6) 1) y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2))))))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx y #s(hole binary64 y))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (/ (* y (sin x)) x)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x)))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* y (sin x))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))))))
#s(approx (sinh y) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
#s(approx (* (+ (* (* y y) 1/6) 1) y) #s(hole binary64 (* 1/6 (pow y 3))))
#s(approx (* (+ (* (* y y) 1/6) 1) y) #s(hole binary64 (* (pow y 3) (+ 1/6 (/ 1 (pow y 2))))))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (* 1/6 (pow y 2))))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))))
Calls

6 calls:

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

rewrite201.0ms (5.8%)

Memory
-6.4MiB live, 178.1MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03032021
03301947
115051856
081921799
Stop Event
iter-limit
node-limit
iter-limit
Counts
115 → 254
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) x) (sin.f64 x))
(/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) x)
#s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(literal 1 binary64)
x
(sin.f64 x)
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) y))
#s(approx (* (/ (sin x) x) y) y)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y))
(*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)
#s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -1/6 binary64)
(*.f64 x x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
(*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)
#s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/120 binary64) (*.f64 x x))
#s(literal 1/120 binary64)
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) y)) x)
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) y))
#s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)
#s(approx (sinh y) y)
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))))
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))))
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))))
#s(approx (/ (sinh y) x) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))))
#s(approx x #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))))
#s(approx (* (/ (sin x) x) y) #s(hole binary64 y))
#s(approx (* (/ (sin x) x) y) #s(hole binary64 (+ y (* -1/6 (* (pow x 2) y)))))
#s(approx (* (/ (sin x) x) y) #s(hole binary64 (+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y)))))))
#s(approx (* (/ (sin x) x) y) #s(hole binary64 (+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y))))))))
#s(approx (/ (sin x) x) #s(hole binary64 1))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))
#s(approx (- (* 1/120 (* x x)) 1/6) #s(hole binary64 -1/6))
#s(approx (- (* 1/120 (* x x)) 1/6) #s(hole binary64 (- (* 1/120 (pow x 2)) 1/6)))
#s(approx (* 1/120 (* x x)) #s(hole binary64 (* 1/120 (pow x 2))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* 1/2 (* x (- (exp y) (/ 1 (exp y)))))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))))))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))))
#s(approx (* (/ (sin x) x) y) #s(hole binary64 (/ (* y (sin x)) x)))
#s(approx (/ (sin x) x) #s(hole binary64 (/ (sin x) x)))
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary64 (* -1/6 (pow x 2))))
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* 1/120 (pow x 4))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (- (* 1/120 (* x x)) 1/6) #s(hole binary64 (* 1/120 (pow x 2))))
#s(approx (- (* 1/120 (* x x)) 1/6) #s(hole binary64 (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* -1/6 (pow x 3))))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (/ (* y (sin x)) x)))
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))))
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))))
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x)))))
#s(approx (/ (sinh y) x) #s(hole binary64 (/ y x)))
#s(approx (/ (sinh y) x) #s(hole binary64 (* y (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x)))))
#s(approx (/ (sinh y) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))))
#s(approx (/ (sinh y) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))))
#s(approx (sinh y) #s(hole binary64 y))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2))))))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))))
#s(approx (* (+ (* (* y y) 1/6) 1) y) #s(hole binary64 y))
#s(approx (* (+ (* (* y y) 1/6) 1) y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2))))))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx y #s(hole binary64 y))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (/ (* y (sin x)) x)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x)))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* y (sin x))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))))))
#s(approx (sinh y) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
#s(approx (* (+ (* (* y y) 1/6) 1) y) #s(hole binary64 (* 1/6 (pow y 3))))
#s(approx (* (+ (* (* y y) 1/6) 1) y) #s(hole binary64 (* (pow y 3) (+ 1/6 (/ 1 (pow y 2))))))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (* 1/6 (pow y 2))))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))))
Outputs
(*.f64 (sin.f64 x) (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) x))
(*.f64 (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) x) (sin.f64 x))
(/.f64 (neg.f64 (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) (sin.f64 x))) (neg.f64 x))
(/.f64 (*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) (sin.f64 x)) x)
(/.f64 (neg.f64 (neg.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))) (neg.f64 x))
(/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) x)
#s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y))) (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y)))
(/.f64 (-.f64 (*.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 y #s(literal 1 binary64))) (*.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))) (-.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) y) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y)) (*.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 y #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))) (*.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))))
(fma.f64 #s(literal 1 binary64) y (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y))
(fma.f64 y #s(literal 1 binary64) (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))
(-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y))
(-.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 (neg.f64 y) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))
(+.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y))
(+.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1/6 binary64)) (*.f64 y y))
(*.f64 (*.f64 y y) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1/6 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) #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 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (/.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 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(-.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 y y)))
(-.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
(-.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 y y)) #s(literal 1/6 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (*.f64 y #s(literal 1/6 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))))
(+.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))
(*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)))
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)))
(*.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(*.f64 (fabs.f64 y) (fabs.f64 y))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 y) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(fabs.f64 (*.f64 y y))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))))
y
#s(literal 1/6 binary64)
#s(literal 1 binary64)
x
(sin.f64 x)
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) y))
#s(approx (* (/ (sin x) x) y) y)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) y))
(*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) y)
(*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))))
#s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))))
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(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) #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 x x) (*.f64 x x)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(*.f64 (*.f64 #s(literal 1/120 binary64) x) x)
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(*.f64 #s(literal 1/120 binary64) (*.f64 x x))
#s(literal 1/120 binary64)
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) y) x))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(approx (sinh y) y) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 #s(approx (sinh y) y) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)))) (neg.f64 x))
(/.f64 (*.f64 #s(approx (sinh y) y) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))) x)
(*.f64 #s(approx (sinh y) y) #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)))
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) #s(approx (sinh y) y))
#s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))) (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))) (-.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (*.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) (*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))
(-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x))
(-.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))
#s(approx (sinh y) y)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (fma.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))))
#s(approx (/ (* (sin x) (sinh y)) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 #s(literal -1/12 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))))
#s(approx (/ (* (sin x) (sinh y)) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/10080 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 #s(literal 1/240 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) (*.f64 x x) (*.f64 #s(literal -1/12 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))))
#s(approx (/ (sinh y) x) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) x) #s(literal 1/2 binary64)))
#s(approx x x)
#s(approx (sin x) x)
#s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (sin x) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (fma.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))))
#s(approx (/ (* (sin x) (sinh y)) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 #s(literal -1/12 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))))
#s(approx (/ (* (sin x) (sinh y)) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/10080 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 #s(literal 1/240 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) (*.f64 x x) (*.f64 #s(literal -1/12 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))))
#s(approx (* (/ (sin x) x) y) y)
#s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 (*.f64 x x) y) #s(literal -1/6 binary64) y))
#s(approx (* (/ (sin x) x) y) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) y)) (*.f64 x x) y))
#s(approx (* (/ (sin x) x) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) y)) (*.f64 x x) (*.f64 #s(literal -1/6 binary64) y)) (*.f64 x x) y))
#s(approx (/ (sin x) x) #s(literal 1 binary64))
#s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))
#s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* -1/6 (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64))
#s(approx (- (* 1/120 (* x x)) 1/6) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
#s(approx (* 1/120 (* x x)) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))
#s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) x) #s(literal 1/2 binary64)))
#s(approx (* (sin x) (sinh y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))) x))
#s(approx (* (sin x) (sinh y)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 #s(literal -1/12 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))) x))
#s(approx (* (sin x) (sinh y)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/10080 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 #s(literal 1/240 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) (*.f64 x x) (*.f64 #s(literal -1/12 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))) x))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) x)
#s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (sin.f64 x) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) x)) #s(literal 1/2 binary64)))
#s(approx (sin x) (sin.f64 x))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (sin.f64 x) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) x)) #s(literal 1/2 binary64)))
#s(approx (* (/ (sin x) x) y) (*.f64 (/.f64 (sin.f64 x) x) y))
#s(approx (/ (sin x) x) (/.f64 (sin.f64 x) x))
#s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))
#s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/120 binary64)))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -1/120 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (- (* 1/120 (* x x)) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))
#s(approx (- (* 1/120 (* x x)) 1/6) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x)))
#s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (*.f64 (*.f64 x x) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) (neg.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) x))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x) (sin.f64 x)) x) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (sin.f64 x) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) x) (*.f64 y y) (/.f64 (sin.f64 x) x)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 y y)) (sin.f64 x) (*.f64 #s(literal 1/120 binary64) (sin.f64 x))) x) (*.f64 y y) (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/6 binary64))) (*.f64 y y) (/.f64 (sin.f64 x) x)) y))
#s(approx (/ (sinh y) x) (/.f64 y x))
#s(approx (/ (sinh y) x) (*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) y))
#s(approx (/ (sinh y) x) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) x) (*.f64 y y) (/.f64 #s(literal 1 binary64) x)) y))
#s(approx (/ (sinh y) x) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) x) (*.f64 y y) (/.f64 #s(literal 1/6 binary64) x)) (*.f64 y y) (/.f64 #s(literal 1 binary64) x)) y))
#s(approx (sinh y) y)
#s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))
#s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))
#s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))
#s(approx (* (+ (* (* y y) 1/6) 1) y) y)
#s(approx (* (+ (* (* y y) 1/6) 1) y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))
#s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64))
#s(approx (+ (* (* y y) 1/6) 1) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
#s(approx (* y y) (*.f64 y y))
#s(approx y y)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x) (sin.f64 x)) x) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (sin.f64 x) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) x) (*.f64 y y) (/.f64 (sin.f64 x) x)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 y y)) (sin.f64 x) (*.f64 #s(literal 1/120 binary64) (sin.f64 x))) x) (*.f64 y y) (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/6 binary64))) (*.f64 y y) (/.f64 (sin.f64 x) x)) y))
#s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y))
#s(approx (* (sin x) (sinh y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x) (sin.f64 x)) y))
#s(approx (* (sin x) (sinh y)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (sin.f64 x) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) (*.f64 y y) (sin.f64 x)) y))
#s(approx (* (sin x) (sinh y)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 y y)) (sin.f64 x) (*.f64 #s(literal 1/120 binary64) (sin.f64 x))) (*.f64 y y) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) (*.f64 y y) (sin.f64 x)) y))
#s(approx (sinh y) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (* y y) 1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))
#s(approx (* (+ (* (* y y) 1/6) 1) y) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64) y))
#s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))
#s(approx (+ (* (* y y) 1/6) 1) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))

eval35.0ms (1%)

Memory
8.2MiB live, 54.4MiB allocated; 3ms collecting garbage
Compiler

Compiled 9 330 to 1 589 computations (83% saved)

prune23.0ms (0.7%)

Memory
-16.3MiB live, 31.0MiB allocated; 1ms collecting garbage
Pruning

22 alts after pruning (15 fresh and 7 done)

PrunedKeptTotal
New2958303
Fresh279
Picked145
Done033
Total29822320
Accuracy
100.0%
Counts
320 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.6%
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x)
43.0%
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) y)) x)
10.4%
(/.f64 (*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x)) #s(approx (sinh y) y)) x)
22.2%
(/.f64 (*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) x)) #s(approx (sinh y) y)) x)
90.4%
(*.f64 (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) x) (sin.f64 x))
67.0%
(*.f64 (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) x) #s(approx (sin x) x))
66.8%
(*.f64 (/.f64 #s(approx (sinh y) #s(approx (* (+ (* (* y y) 1/6) 1) y) y)) x) (sin.f64 x))
46.9%
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) y) x))
54.4%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
64.2%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))
37.9%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
34.8%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y))
28.7%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (-.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64))))) y))
13.8%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/120 binary64)))) y))
10.5%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) y))
53.4%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* 2 (sinh y)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
37.9%
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) y)) (*.f64 x x) y)))
34.8%
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 (*.f64 x x) y) #s(literal -1/6 binary64) y)))
27.8%
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) y))
59.6%
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (* 2 (sinh y)) 1/2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))
57.4%
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (* 2 (sinh y)) 1/2) (*.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)))
53.1%
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (* 2 (sinh y)) 1/2) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)))
Compiler

Compiled 907 to 598 computations (34.1% saved)

series17.0ms (0.5%)

Memory
30.0MiB live, 30.1MiB allocated; 0ms collecting garbage
Counts
34 → 92
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x)
(*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))
(sin.f64 x)
x
#s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))
(*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(*.f64 y y)
y
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) y))
(*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) y)
#s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))
#s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
(*.f64 x x)
#s(literal -1/6 binary64)
(/.f64 (*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) x)) #s(approx (sinh y) y)) x)
(*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) x)) #s(approx (sinh y) y))
#s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) x))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) x)
#s(approx (sinh y) y)
(/.f64 (*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x)) #s(approx (sinh y) y)) x)
(*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x)) #s(approx (sinh y) y))
#s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x))
(*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x)
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) y) x))
#s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))
(/.f64 #s(approx (sinh y) y) x)
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* 1/2 (* x (- (exp y) (/ 1 (exp y)))))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx x #s(hole binary64 x))
#s(approx (* (/ (sin x) x) y) #s(hole binary64 y))
#s(approx (* (/ (sin x) x) y) #s(hole binary64 (+ y (* -1/6 (* (pow x 2) y)))))
#s(approx (* (/ (sin x) x) y) #s(hole binary64 (+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y)))))))
#s(approx (* (/ (sin x) x) y) #s(hole binary64 (+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y))))))))
#s(approx (/ (sin x) x) #s(hole binary64 1))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (* (* x x) -1/6) #s(hole binary64 (* -1/6 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))))
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))))
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (+ (* (* x x) -1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) -1/6) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (/ (sinh y) x) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (/ (sin x) x) y) #s(hole binary64 (/ (* y (sin x)) x)))
#s(approx (/ (sin x) x) #s(hole binary64 (/ (sin x) x)))
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary64 (* -1/6 (pow x 2))))
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* -1/6 (pow x 3))))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))))
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 (* -1/6 (pow x 3))))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))))
#s(approx (+ (* (* x x) -1/6) 1) #s(hole binary64 (* -1/6 (pow x 2))))
#s(approx (+ (* (* x x) -1/6) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (/ (* y (sin x)) x)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x)))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* y (sin x))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))))))
#s(approx (sinh y) #s(hole binary64 y))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2))))))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))))
#s(approx (* (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) y) #s(hole binary64 y))
#s(approx (* (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2))))))
#s(approx (* (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))
#s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
#s(approx (+ (* (* y y) 1/120) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (* y y) 1/120) 1/6) #s(hole binary64 (+ 1/6 (* 1/120 (pow y 2)))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx y #s(hole binary64 y))
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (/ (* y (sin x)) x)))
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))))
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))))
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x)))))
#s(approx (/ (sinh y) x) #s(hole binary64 (/ y x)))
#s(approx (/ (sinh y) x) #s(hole binary64 (* y (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x)))))
#s(approx (/ (sinh y) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))))
#s(approx (/ (sinh y) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))))
#s(approx (sinh y) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
#s(approx (* (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) y) #s(hole binary64 (* 1/120 (pow y 5))))
#s(approx (* (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) y) #s(hole binary64 (* (pow y 5) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))))
#s(approx (* (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) y) #s(hole binary64 (* (pow y 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))))
#s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) #s(hole binary64 (* 1/120 (pow y 4))))
#s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))))
#s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))))
#s(approx (+ (* (* y y) 1/120) 1/6) #s(hole binary64 (* 1/120 (pow y 2))))
#s(approx (+ (* (* y y) 1/120) 1/6) #s(hole binary64 (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))))
#s(approx (* (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) y) #s(hole binary64 (* -1 (* (pow y 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow y 2))) (pow y 2))) 1/120)))))
Calls

6 calls:

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

rewrite271.0ms (7.8%)

Memory
-38.4MiB live, 168.5MiB allocated; 136ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03212319
03492212
115712123
080952058
Stop Event
iter-limit
node-limit
iter-limit
Counts
126 → 252
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x)
(*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))
(sin.f64 x)
x
#s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))
(*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(*.f64 y y)
y
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) y))
(*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) y)
#s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))
#s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
(*.f64 x x)
#s(literal -1/6 binary64)
(/.f64 (*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) x)) #s(approx (sinh y) y)) x)
(*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) x)) #s(approx (sinh y) y))
#s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) x))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) x)
#s(approx (sinh y) y)
(/.f64 (*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x)) #s(approx (sinh y) y)) x)
(*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x)) #s(approx (sinh y) y))
#s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x))
(*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x)
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) y) x))
#s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))
(/.f64 #s(approx (sinh y) y) x)
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* 1/2 (* x (- (exp y) (/ 1 (exp y)))))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx x #s(hole binary64 x))
#s(approx (* (/ (sin x) x) y) #s(hole binary64 y))
#s(approx (* (/ (sin x) x) y) #s(hole binary64 (+ y (* -1/6 (* (pow x 2) y)))))
#s(approx (* (/ (sin x) x) y) #s(hole binary64 (+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y)))))))
#s(approx (* (/ (sin x) x) y) #s(hole binary64 (+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y))))))))
#s(approx (/ (sin x) x) #s(hole binary64 1))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (* (* x x) -1/6) #s(hole binary64 (* -1/6 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))))
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))))
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (+ (* (* x x) -1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) -1/6) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (/ (sinh y) x) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (/ (sin x) x) y) #s(hole binary64 (/ (* y (sin x)) x)))
#s(approx (/ (sin x) x) #s(hole binary64 (/ (sin x) x)))
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary64 (* -1/6 (pow x 2))))
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* -1/6 (pow x 3))))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))))
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 (* -1/6 (pow x 3))))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))))
#s(approx (+ (* (* x x) -1/6) 1) #s(hole binary64 (* -1/6 (pow x 2))))
#s(approx (+ (* (* x x) -1/6) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (/ (* y (sin x)) x)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x)))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* y (sin x))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))))))
#s(approx (sinh y) #s(hole binary64 y))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2))))))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))))
#s(approx (* (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) y) #s(hole binary64 y))
#s(approx (* (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2))))))
#s(approx (* (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))
#s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
#s(approx (+ (* (* y y) 1/120) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (* y y) 1/120) 1/6) #s(hole binary64 (+ 1/6 (* 1/120 (pow y 2)))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx y #s(hole binary64 y))
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (/ (* y (sin x)) x)))
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))))
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))))
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x)))))
#s(approx (/ (sinh y) x) #s(hole binary64 (/ y x)))
#s(approx (/ (sinh y) x) #s(hole binary64 (* y (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x)))))
#s(approx (/ (sinh y) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))))
#s(approx (/ (sinh y) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))))
#s(approx (sinh y) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
#s(approx (* (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) y) #s(hole binary64 (* 1/120 (pow y 5))))
#s(approx (* (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) y) #s(hole binary64 (* (pow y 5) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))))
#s(approx (* (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) y) #s(hole binary64 (* (pow y 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))))
#s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) #s(hole binary64 (* 1/120 (pow y 4))))
#s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))))
#s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))))
#s(approx (+ (* (* y y) 1/120) 1/6) #s(hole binary64 (* 1/120 (pow y 2))))
#s(approx (+ (* (* y y) 1/120) 1/6) #s(hole binary64 (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))))
#s(approx (* (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) y) #s(hole binary64 (* -1 (* (pow y 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow y 2))) (pow y 2))) 1/120)))))
Outputs
(*.f64 (sin.f64 x) (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))) (neg.f64 x))
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x)
(*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))
(*.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) (sin.f64 x))
(sin.f64 x)
x
#s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))
(*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)
(*.f64 y (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
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#s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))
#s(approx (sin x) (sin.f64 x))
#s(approx (* (/ (sin x) x) y) (*.f64 (/.f64 (sin.f64 x) x) y))
#s(approx (/ (sin x) x) (/.f64 (sin.f64 x) x))
#s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))
#s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (*.f64 (*.f64 x x) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (sin.f64 x) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) x)) #s(literal 1/2 binary64)))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (*.f64 (*.f64 x x) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))
#s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))
#s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) (neg.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) x))))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) (neg.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) x))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x) (sin.f64 x)) x) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (sin.f64 x) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) x) (*.f64 y y) (/.f64 (sin.f64 x) x)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 y y)) (sin.f64 x) (*.f64 (sin.f64 x) #s(literal 1/120 binary64))) x) (*.f64 y y) (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/6 binary64))) (*.f64 y y) (/.f64 (sin.f64 x) x)) y))
#s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y))
#s(approx (* (sin x) (sinh y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x) (sin.f64 x)) y))
#s(approx (* (sin x) (sinh y)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (sin.f64 x) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) (*.f64 y y) (sin.f64 x)) y))
#s(approx (* (sin x) (sinh y)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 y y)) (sin.f64 x) (*.f64 (sin.f64 x) #s(literal 1/120 binary64))) (*.f64 y y) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) (*.f64 y y) (sin.f64 x)) y))
#s(approx (sinh y) y)
#s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))
#s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))
#s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))
#s(approx (* (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) y) y)
#s(approx (* (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))
#s(approx (* (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) 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 (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64))
#s(approx (+ (* (* y y) 1/120) 1/6) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
#s(approx (* y y) (*.f64 y y))
#s(approx y y)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x) (sin.f64 x)) x) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (sin.f64 x) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) x) (*.f64 y y) (/.f64 (sin.f64 x) x)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 y y)) (sin.f64 x) (*.f64 (sin.f64 x) #s(literal 1/120 binary64))) x) (*.f64 y y) (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/6 binary64))) (*.f64 y y) (/.f64 (sin.f64 x) x)) y))
#s(approx (/ (sinh y) x) (/.f64 y x))
#s(approx (/ (sinh y) x) (*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) y))
#s(approx (/ (sinh y) x) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) x) (*.f64 y y) (/.f64 #s(literal 1 binary64) x)) y))
#s(approx (/ (sinh y) x) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) x) (*.f64 y y) (/.f64 #s(literal 1/6 binary64) x)) (*.f64 y y) (/.f64 #s(literal 1 binary64) x)) y))
#s(approx (sinh y) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) y) (*.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/120 binary64)))
#s(approx (* (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) y) (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/120 binary64)) (pow.f64 y #s(literal 5 binary64))))
#s(approx (* (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) y) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y)) #s(literal 1/120 binary64)) (pow.f64 y #s(literal 5 binary64))))
#s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/120 binary64)))
#s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/120 binary64))))
#s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y)) #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))))
#s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))
#s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/120 binary64)) (*.f64 y y)))
#s(approx (* (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) y) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y))) #s(literal 1/120 binary64)) (pow.f64 y #s(literal 5 binary64)))))

eval40.0ms (1.2%)

Memory
-1.8MiB live, 52.7MiB allocated; 5ms collecting garbage
Compiler

Compiled 8 200 to 1 471 computations (82.1% saved)

prune20.0ms (0.6%)

Memory
-14.4MiB live, 33.0MiB allocated; 1ms collecting garbage
Pruning

25 alts after pruning (14 fresh and 11 done)

PrunedKeptTotal
New2604264
Fresh01010
Picked145
Done077
Total26125286
Accuracy
100.0%
Counts
286 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.6%
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x)
43.0%
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) y)) x)
10.4%
(/.f64 (*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x)) #s(approx (sinh y) y)) x)
22.2%
(/.f64 (*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) x)) #s(approx (sinh y) y)) x)
90.4%
(*.f64 (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) x) (sin.f64 x))
67.0%
(*.f64 (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) x) #s(approx (sin x) x))
66.8%
(*.f64 (/.f64 #s(approx (sinh y) #s(approx (* (+ (* (* y y) 1/6) 1) y) y)) x) (sin.f64 x))
57.3%
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) #s(approx (/ (sinh y) x) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) x) (*.f64 y y) (/.f64 #s(literal 1/6 binary64) x)) (*.f64 y y) (/.f64 #s(literal 1 binary64) x)) y)))
10.0%
(*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x)) (/.f64 #s(approx (sinh y) y) x))
51.6%
(*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) x)) (/.f64 #s(approx (sinh y) y) x))
54.4%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
64.2%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))
37.9%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
34.8%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y))
28.7%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (-.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64))))) y))
13.8%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/120 binary64)))) y))
10.5%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) y))
10.5%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x))) y))
53.4%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* 2 (sinh y)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
37.9%
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) y)) (*.f64 x x) y)))
34.8%
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 (*.f64 x x) y) #s(literal -1/6 binary64) y)))
27.8%
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) y))
59.6%
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (* 2 (sinh y)) 1/2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))
57.4%
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (* 2 (sinh y)) 1/2) (*.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)))
53.1%
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (* 2 (sinh y)) 1/2) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)))
Compiler

Compiled 1 328 to 574 computations (56.8% saved)

regimes38.0ms (1.1%)

Memory
18.2MiB live, 65.0MiB allocated; 2ms collecting garbage
Counts
33 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (* 2 (sinh y)) 1/2) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 (*.f64 x x) y) #s(literal -1/6 binary64) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) x)) (/.f64 #s(approx (sinh y) y) x))
(/.f64 (*.f64 #s(approx (sin x) x) #s(approx (sinh y) y)) x)
(/.f64 (*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) x)) #s(approx (sinh y) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/120 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (* 2 (sinh y)) 1/2) (*.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 x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
(*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x)) (/.f64 #s(approx (sinh y) y) x))
(/.f64 (*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x)) #s(approx (sinh y) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) y)) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* 2 (sinh y)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) y) x))
(*.f64 (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) x) #s(approx (sin x) x))
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (* 2 (sinh y)) 1/2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (-.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64))))) y))
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) #s(approx (/ (sinh y) x) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) x) (*.f64 y y) (/.f64 #s(literal 1/6 binary64) x)) (*.f64 y y) (/.f64 #s(literal 1 binary64) x)) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
(*.f64 (sin.f64 x) (/.f64 #s(approx (sinh y) y) x))
(*.f64 (/.f64 #s(approx (sinh y) #s(approx (* (+ (* (* y y) 1/6) 1) y) y)) x) (sin.f64 x))
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) x) y))
(*.f64 (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) x) (sin.f64 x))
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x)
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Outputs
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
Calls

4 calls:

9.0ms
x
9.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
9.0ms
y
8.0ms
(sinh.f64 y)
Results
AccuracySegmentsBranch
99.9%1(sinh.f64 y)
99.9%1(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
99.9%1x
99.9%1y
Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes36.0ms (1%)

Memory
-24.5MiB live, 72.5MiB allocated; 4ms collecting garbage
Counts
31 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (* 2 (sinh y)) 1/2) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 (*.f64 x x) y) #s(literal -1/6 binary64) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) x)) (/.f64 #s(approx (sinh y) y) x))
(/.f64 (*.f64 #s(approx (sin x) x) #s(approx (sinh y) y)) x)
(/.f64 (*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) x)) #s(approx (sinh y) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/120 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (* 2 (sinh y)) 1/2) (*.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 x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
(*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x)) (/.f64 #s(approx (sinh y) y) x))
(/.f64 (*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x)) #s(approx (sinh y) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) y)) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* 2 (sinh y)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) y) x))
(*.f64 (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) x) #s(approx (sin x) x))
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (* 2 (sinh y)) 1/2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (-.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64))))) y))
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) #s(approx (/ (sinh y) x) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) x) (*.f64 y y) (/.f64 #s(literal 1/6 binary64) x)) (*.f64 y y) (/.f64 #s(literal 1 binary64) x)) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
(*.f64 (sin.f64 x) (/.f64 #s(approx (sinh y) y) x))
(*.f64 (/.f64 #s(approx (sinh y) #s(approx (* (+ (* (* y y) 1/6) 1) y) y)) x) (sin.f64 x))
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) x) y))
(*.f64 (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) x) (sin.f64 x))
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x)
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) x)
Calls

4 calls:

10.0ms
y
9.0ms
(sinh.f64 y)
9.0ms
x
7.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
90.4%1(sinh.f64 y)
93.7%2(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
97.7%2x
99.9%5y
Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes19.0ms (0.5%)

Memory
-3.7MiB live, 43.2MiB allocated; 1ms collecting garbage
Counts
30 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (* 2 (sinh y)) 1/2) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 (*.f64 x x) y) #s(literal -1/6 binary64) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) x)) (/.f64 #s(approx (sinh y) y) x))
(/.f64 (*.f64 #s(approx (sin x) x) #s(approx (sinh y) y)) x)
(/.f64 (*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) x)) #s(approx (sinh y) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/120 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (* 2 (sinh y)) 1/2) (*.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 x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
(*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x)) (/.f64 #s(approx (sinh y) y) x))
(/.f64 (*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x)) #s(approx (sinh y) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) y)) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* 2 (sinh y)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) y) x))
(*.f64 (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) x) #s(approx (sin x) x))
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (* 2 (sinh y)) 1/2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (-.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64))))) y))
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) #s(approx (/ (sinh y) x) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) x) (*.f64 y y) (/.f64 #s(literal 1/6 binary64) x)) (*.f64 y y) (/.f64 #s(literal 1 binary64) x)) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
(*.f64 (sin.f64 x) (/.f64 #s(approx (sinh y) y) x))
(*.f64 (/.f64 #s(approx (sinh y) #s(approx (* (+ (* (* y y) 1/6) 1) y) y)) x) (sin.f64 x))
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) x) y))
(*.f64 (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) x) (sin.f64 x))
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) x) (sin.f64 x))
Calls

2 calls:

8.0ms
x
8.0ms
y
Results
AccuracySegmentsBranch
96.1%3y
94.9%2x
Compiler

Compiled 2 to 4 computations (-100% saved)

regimes27.0ms (0.8%)

Memory
7.7MiB live, 54.0MiB allocated; 4ms collecting garbage
Counts
29 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (* 2 (sinh y)) 1/2) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 (*.f64 x x) y) #s(literal -1/6 binary64) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) x)) (/.f64 #s(approx (sinh y) y) x))
(/.f64 (*.f64 #s(approx (sin x) x) #s(approx (sinh y) y)) x)
(/.f64 (*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) x)) #s(approx (sinh y) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/120 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (* 2 (sinh y)) 1/2) (*.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 x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
(*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x)) (/.f64 #s(approx (sinh y) y) x))
(/.f64 (*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x)) #s(approx (sinh y) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) y)) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* 2 (sinh y)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) y) x))
(*.f64 (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) x) #s(approx (sin x) x))
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (* 2 (sinh y)) 1/2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (-.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64))))) y))
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) #s(approx (/ (sinh y) x) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) x) (*.f64 y y) (/.f64 #s(literal 1/6 binary64) x)) (*.f64 y y) (/.f64 #s(literal 1 binary64) x)) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
(*.f64 (sin.f64 x) (/.f64 #s(approx (sinh y) y) x))
(*.f64 (/.f64 #s(approx (sinh y) #s(approx (* (+ (* (* y y) 1/6) 1) y) y)) x) (sin.f64 x))
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) x) y))
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) x) y))
Calls

3 calls:

9.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
8.0ms
x
8.0ms
y
Results
AccuracySegmentsBranch
91.9%2(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
98.0%5y
93.5%2x
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes33.0ms (0.9%)

Memory
36.3MiB live, 82.6MiB allocated; 4ms collecting garbage
Counts
28 → 4
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (* 2 (sinh y)) 1/2) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 (*.f64 x x) y) #s(literal -1/6 binary64) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) x)) (/.f64 #s(approx (sinh y) y) x))
(/.f64 (*.f64 #s(approx (sin x) x) #s(approx (sinh y) y)) x)
(/.f64 (*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) x)) #s(approx (sinh y) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/120 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (* 2 (sinh y)) 1/2) (*.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 x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
(*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x)) (/.f64 #s(approx (sinh y) y) x))
(/.f64 (*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x)) #s(approx (sinh y) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) y)) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* 2 (sinh y)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) y) x))
(*.f64 (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) x) #s(approx (sin x) x))
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (* 2 (sinh y)) 1/2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (-.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64))))) y))
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) #s(approx (/ (sinh y) x) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) x) (*.f64 y y) (/.f64 #s(literal 1/6 binary64) x)) (*.f64 y y) (/.f64 #s(literal 1 binary64) x)) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
(*.f64 (sin.f64 x) (/.f64 #s(approx (sinh y) y) x))
(*.f64 (/.f64 #s(approx (sinh y) #s(approx (* (+ (* (* y y) 1/6) 1) y) y)) x) (sin.f64 x))
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* 2 (sinh y)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
Calls

4 calls:

10.0ms
(sinh.f64 y)
8.0ms
x
8.0ms
y
6.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
90.7%3(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
91.0%3(sinh.f64 y)
93.4%4y
79.3%2x
Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes30.0ms (0.9%)

Memory
2.6MiB live, 98.5MiB allocated; 6ms collecting garbage
Counts
23 → 4
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (* 2 (sinh y)) 1/2) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 (*.f64 x x) y) #s(literal -1/6 binary64) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) x)) (/.f64 #s(approx (sinh y) y) x))
(/.f64 (*.f64 #s(approx (sin x) x) #s(approx (sinh y) y)) x)
(/.f64 (*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) x)) #s(approx (sinh y) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/120 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (* 2 (sinh y)) 1/2) (*.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 x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
(*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x)) (/.f64 #s(approx (sinh y) y) x))
(/.f64 (*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x)) #s(approx (sinh y) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) y)) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* 2 (sinh y)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) y) x))
(*.f64 (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) x) #s(approx (sin x) x))
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (* 2 (sinh y)) 1/2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (-.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64))))) y))
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) #s(approx (/ (sinh y) x) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) x) (*.f64 y y) (/.f64 #s(literal 1/6 binary64) x)) (*.f64 y y) (/.f64 #s(literal 1 binary64) x)) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) x)) (/.f64 #s(approx (sinh y) y) x))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* 2 (sinh y)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
Calls

4 calls:

10.0ms
y
7.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
6.0ms
x
6.0ms
(sinh.f64 y)
Results
AccuracySegmentsBranch
72.9%2x
75.5%3(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
75.5%3(sinh.f64 y)
78.3%4y
Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes27.0ms (0.8%)

Memory
-13.1MiB live, 81.3MiB allocated; 3ms collecting garbage
Counts
22 → 3
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (* 2 (sinh y)) 1/2) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 (*.f64 x x) y) #s(literal -1/6 binary64) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) x)) (/.f64 #s(approx (sinh y) y) x))
(/.f64 (*.f64 #s(approx (sin x) x) #s(approx (sinh y) y)) x)
(/.f64 (*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) x)) #s(approx (sinh y) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/120 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (* 2 (sinh y)) 1/2) (*.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 x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
(*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x)) (/.f64 #s(approx (sinh y) y) x))
(/.f64 (*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x)) #s(approx (sinh y) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) y)) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* 2 (sinh y)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) y) x))
(*.f64 (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) x) #s(approx (sin x) x))
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (* 2 (sinh y)) 1/2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (-.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64))))) y))
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) #s(approx (/ (sinh y) x) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) x) (*.f64 y y) (/.f64 #s(literal 1/6 binary64) x)) (*.f64 y y) (/.f64 #s(literal 1 binary64) x)) y)))
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (* 2 (sinh y)) 1/2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))
(*.f64 (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) x) #s(approx (sin x) x))
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) #s(approx (/ (sinh y) x) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) x) (*.f64 y y) (/.f64 #s(literal 1/6 binary64) x)) (*.f64 y y) (/.f64 #s(literal 1 binary64) x)) y)))
Calls

4 calls:

7.0ms
y
7.0ms
(sinh.f64 y)
6.0ms
x
5.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
69.4%2x
72.7%3(sinh.f64 y)
71.3%3(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
72.7%3y
Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes19.0ms (0.5%)

Memory
-20.3MiB live, 28.4MiB allocated; 13ms collecting garbage
Counts
21 → 4
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (* 2 (sinh y)) 1/2) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 (*.f64 x x) y) #s(literal -1/6 binary64) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) x)) (/.f64 #s(approx (sinh y) y) x))
(/.f64 (*.f64 #s(approx (sin x) x) #s(approx (sinh y) y)) x)
(/.f64 (*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) x)) #s(approx (sinh y) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/120 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (* 2 (sinh y)) 1/2) (*.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 x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
(*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x)) (/.f64 #s(approx (sinh y) y) x))
(/.f64 (*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x)) #s(approx (sinh y) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) y)) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* 2 (sinh y)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) y) x))
(*.f64 (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) x) #s(approx (sin x) x))
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (* 2 (sinh y)) 1/2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (-.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64))))) y))
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (* 2 (sinh y)) 1/2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) x)) (/.f64 #s(approx (sinh y) y) x))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (* 2 (sinh y)) 1/2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* 2 (sinh y)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
Calls

2 calls:

12.0ms
(sinh.f64 y)
6.0ms
y
Results
AccuracySegmentsBranch
70.9%3(sinh.f64 y)
73.6%4y
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes11.0ms (0.3%)

Memory
23.6MiB live, 23.6MiB allocated; 0ms collecting garbage
Counts
19 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (* 2 (sinh y)) 1/2) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 (*.f64 x x) y) #s(literal -1/6 binary64) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) x)) (/.f64 #s(approx (sinh y) y) x))
(/.f64 (*.f64 #s(approx (sin x) x) #s(approx (sinh y) y)) x)
(/.f64 (*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) x)) #s(approx (sinh y) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/120 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (* 2 (sinh y)) 1/2) (*.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 x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
(*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x)) (/.f64 #s(approx (sinh y) y) x))
(/.f64 (*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x)) #s(approx (sinh y) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) y)) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* 2 (sinh y)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) y) x))
(*.f64 (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) x) #s(approx (sin x) x))
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sinh y) y)) x)
Outputs
(*.f64 (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) x) #s(approx (sin x) x))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* 2 (sinh y)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
Calls

2 calls:

5.0ms
y
4.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
67.0%1(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
69.7%2y
Compiler

Compiled 8 to 8 computations (0% saved)

regimes16.0ms (0.5%)

Memory
-13.2MiB live, 33.9MiB allocated; 2ms collecting garbage
Counts
17 → 4
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (* 2 (sinh y)) 1/2) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 (*.f64 x x) y) #s(literal -1/6 binary64) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) x)) (/.f64 #s(approx (sinh y) y) x))
(/.f64 (*.f64 #s(approx (sin x) x) #s(approx (sinh y) y)) x)
(/.f64 (*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) x)) #s(approx (sinh y) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/120 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (* 2 (sinh y)) 1/2) (*.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 x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
(*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x)) (/.f64 #s(approx (sinh y) y) x))
(/.f64 (*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x)) #s(approx (sinh y) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) y)) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* 2 (sinh y)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) y) x))
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (* 2 (sinh y)) 1/2) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) x)) (/.f64 #s(approx (sinh y) y) x))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (* 2 (sinh y)) 1/2) (*.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 x) (sinh y)) x) (*.f64 #s(approx (* 2 (sinh y)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
Calls

3 calls:

6.0ms
x
5.0ms
y
4.0ms
(sinh.f64 y)
Results
AccuracySegmentsBranch
69.4%3(sinh.f64 y)
63.5%2x
71.7%4y
Compiler

Compiled 4 to 7 computations (-75% saved)

regimes14.0ms (0.4%)

Memory
-17.4MiB live, 29.9MiB allocated; 1ms collecting garbage
Counts
15 → 3
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (* 2 (sinh y)) 1/2) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 (*.f64 x x) y) #s(literal -1/6 binary64) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) x)) (/.f64 #s(approx (sinh y) y) x))
(/.f64 (*.f64 #s(approx (sin x) x) #s(approx (sinh y) y)) x)
(/.f64 (*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) x)) #s(approx (sinh y) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/120 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (* 2 (sinh y)) 1/2) (*.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 x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
(*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x)) (/.f64 #s(approx (sinh y) y) x))
(/.f64 (*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x)) #s(approx (sinh y) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) y)) (*.f64 x x) y)))
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (* 2 (sinh y)) 1/2) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) x)) (/.f64 #s(approx (sinh y) y) x))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (* 2 (sinh y)) 1/2) (*.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)))
Calls

3 calls:

5.0ms
(sinh.f64 y)
4.0ms
y
4.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
68.7%3(sinh.f64 y)
68.7%3(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
69.0%3y
Compiler

Compiled 10 to 11 computations (-10% saved)

regimes13.0ms (0.4%)

Memory
29.7MiB live, 29.7MiB allocated; 0ms collecting garbage
Counts
10 → 4
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (* 2 (sinh y)) 1/2) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 (*.f64 x x) y) #s(literal -1/6 binary64) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) x)) (/.f64 #s(approx (sinh y) y) x))
(/.f64 (*.f64 #s(approx (sin x) x) #s(approx (sinh y) y)) x)
(/.f64 (*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) x)) #s(approx (sinh y) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/120 binary64)))) y))
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (* 2 (sinh y)) 1/2) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) x)) (/.f64 #s(approx (sinh y) y) x))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/120 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (* 2 (sinh y)) 1/2) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)))
Calls

4 calls:

3.0ms
y
3.0ms
x
3.0ms
(sinh.f64 y)
3.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
60.0%2x
64.4%3(sinh.f64 y)
64.4%3(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
66.6%4y
Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes4.0ms (0.1%)

Memory
8.7MiB live, 8.7MiB allocated; 0ms collecting garbage
Counts
9 → 3
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (* 2 (sinh y)) 1/2) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 (*.f64 x x) y) #s(literal -1/6 binary64) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) x)) (/.f64 #s(approx (sinh y) y) x))
(/.f64 (*.f64 #s(approx (sin x) x) #s(approx (sinh y) y)) x)
(/.f64 (*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) x)) #s(approx (sinh y) y)) x)
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (* 2 (sinh y)) 1/2) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) x)) (/.f64 #s(approx (sinh y) y) x))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (* 2 (sinh y)) 1/2) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)))
Calls

1 calls:

3.0ms
y
Results
AccuracySegmentsBranch
64.8%3y
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes10.0ms (0.3%)

Memory
-25.5MiB live, 21.6MiB allocated; 2ms collecting garbage
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (* 2 (sinh y)) 1/2) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 (*.f64 x x) y) #s(literal -1/6 binary64) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y))
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (* 2 (sinh y)) 1/2) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x))) y))
Calls

4 calls:

3.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
2.0ms
x
2.0ms
y
2.0ms
(sinh.f64 y)
Results
AccuracySegmentsBranch
55.7%2x
53.1%1(sinh.f64 y)
53.1%1(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
53.1%1y
Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes6.0ms (0.2%)

Memory
18.5MiB live, 18.5MiB allocated; 0ms collecting garbage
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) y))
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x))) y))
Calls

4 calls:

1.0ms
x
1.0ms
y
1.0ms
(sinh.f64 y)
1.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
34.3%3(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
34.3%3(sinh.f64 y)
34.6%3y
34.7%2x
Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes4.0ms (0.1%)

Memory
13.8MiB live, 13.8MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) y))
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) y))
Calls

4 calls:

1.0ms
y
1.0ms
x
1.0ms
(sinh.f64 y)
1.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
27.8%1(sinh.f64 y)
27.8%1(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
27.8%1y
27.8%1x
Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch14.0ms (0.4%)

Memory
-25.4MiB live, 23.3MiB allocated; 5ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
13.0ms
1.2473252735993694e-5
0.003015740306441123
Samples
8.0ms112×0valid
Compiler

Compiled 255 to 207 computations (18.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-sin: 1.0ms (31.9% of total)
ival-sinh: 1.0ms (31.9% of total)
ival-mult!: 1.0ms (31.9% of total)
ival-div!: 1.0ms (31.9% of total)
adjust: 0.0ms (0% of total)

bsearch4.0ms (0.1%)

Memory
8.9MiB live, 8.9MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
3.0ms
1.2473252735993694e-5
0.003015740306441123
Samples
2.0ms32×0valid
Compiler

Compiled 220 to 193 computations (12.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
adjust: 0.0ms (0% of total)
ival-sin: 0.0ms (0% of total)
ival-sinh: 0.0ms (0% of total)
ival-mult!: 0.0ms (0% of total)
ival-div!: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.6MiB live, 2.6MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
1.2473252735993694e-5
0.003015740306441123
Compiler

Compiled 255 to 214 computations (16.1% saved)

bsearch41.0ms (1.2%)

Memory
-21.3MiB live, 71.3MiB allocated; 9ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
1.1321195665387118e+147
1.1702587348920048e+149
17.0ms
3.27726151892847e-6
24186.703111370298
11.0ms
-0.003300259296756652
-0.0018232370071143754
Samples
24.0ms304×0valid
Compiler

Compiled 612 to 517 computations (15.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-sin: 7.0ms (52% of total)
ival-sinh: 3.0ms (22.3% of total)
ival-mult!: 1.0ms (7.4% of total)
ival-div!: 1.0ms (7.4% of total)
adjust: 0.0ms (0% of total)

bsearch18.0ms (0.5%)

Memory
-7.8MiB live, 39.8MiB allocated; 3ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.1321195665387118e+147
1.1702587348920048e+149
14.0ms
9.16418878982974e-82
3.112608944551291e-74
0.0ms
-0.003300259296756652
-0.0018232370071143754
Samples
9.0ms144×0valid
Compiler

Compiled 675 to 558 computations (17.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-sin: 3.0ms (55.6% of total)
ival-sinh: 1.0ms (18.5% of total)
ival-mult!: 1.0ms (18.5% of total)
ival-div!: 1.0ms (18.5% of total)
adjust: 0.0ms (0% of total)

bsearch31.0ms (0.9%)

Memory
9.9MiB live, 62.1MiB allocated; 2ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
1.5028687285873392e+32
8.881457376915821e+33
17.0ms
-1.016357376127521e-100
-2.8966221299180653e-111
Samples
17.0ms272×0valid
Compiler

Compiled 933 to 644 computations (31% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-sin: 6.0ms (54.5% of total)
ival-sinh: 2.0ms (18.2% of total)
ival-mult!: 2.0ms (18.2% of total)
ival-div!: 1.0ms (9.1% of total)
adjust: 0.0ms (0% of total)

bsearch3.0ms (0.1%)

Memory
6.8MiB live, 6.8MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.1321195665387118e+147
1.1702587348920048e+149
1.0ms
9.16418878982974e-82
3.112608944551291e-74
1.0ms
-0.003300259296756652
-0.0018232370071143754
Compiler

Compiled 1 017 to 720 computations (29.2% saved)

bsearch1.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
1.0ms
1.1321195665387118e+147
1.1702587348920048e+149
Compiler

Compiled 240 to 186 computations (22.5% saved)

bsearch16.0ms (0.5%)

Memory
-17.3MiB live, 29.8MiB allocated; 4ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.1321195665387118e+147
1.1702587348920048e+149
13.0ms
1.1782657401186128e+45
2.2076357114940813e+46
1.0ms
-0.003300259296756652
-0.0018232370071143754
Samples
7.0ms112×0valid
Compiler

Compiled 829 to 612 computations (26.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-sin: 3.0ms (67% of total)
ival-sinh: 1.0ms (22.3% of total)
ival-mult!: 1.0ms (22.3% of total)
adjust: 0.0ms (0% of total)
ival-div!: 0.0ms (0% of total)

bsearch2.0ms (0.1%)

Memory
3.3MiB live, 3.3MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.1782657401186128e+45
2.2076357114940813e+46
1.0ms
-0.003300259296756652
-0.0018232370071143754
Compiler

Compiled 549 to 407 computations (25.9% saved)

bsearch32.0ms (0.9%)

Memory
9.3MiB live, 56.3MiB allocated; 4ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
5.190084822308639e+76
3.157865230843677e+81
15.0ms
3.27726151892847e-6
24186.703111370298
0.0ms
-0.003300259296756652
-0.0018232370071143754
Samples
17.0ms272×0valid
Compiler

Compiled 1 264 to 883 computations (30.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-sin: 6.0ms (54% of total)
ival-sinh: 2.0ms (18% of total)
ival-mult!: 1.0ms (9% of total)
ival-div!: 1.0ms (9% of total)
adjust: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
3.7MiB live, 3.7MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.1782657401186128e+45
2.2076357114940813e+46
1.0ms
-0.003300259296756652
-0.0018232370071143754
Compiler

Compiled 494 to 385 computations (22.1% saved)

bsearch16.0ms (0.5%)

Memory
-14.9MiB live, 31.5MiB allocated; 5ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
6.832860546428033e+168
1.0968703221420786e+170
Samples
11.0ms112×0valid
Compiler

Compiled 367 to 277 computations (24.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-sin: 6.0ms (73.2% of total)
ival-sinh: 1.0ms (12.2% of total)
ival-mult!: 1.0ms (12.2% of total)
ival-div!: 1.0ms (12.2% of total)
adjust: 0.0ms (0% of total)

bsearch16.0ms (0.5%)

Memory
23.8MiB live, 23.8MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
924791710171.962
472911433072595.9
Samples
10.0ms128×0valid
Compiler

Compiled 362 to 259 computations (28.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-sin: 5.0ms (73.1% of total)
ival-sinh: 1.0ms (14.6% of total)
ival-mult!: 1.0ms (14.6% of total)
ival-div!: 1.0ms (14.6% of total)
adjust: 0.0ms (0% of total)

derivations618.0ms (17.7%)

Memory
-12.2MiB live, 706.8MiB allocated; 47ms collecting garbage
Stop Event
fuel
Compiler

Compiled 1 080 to 163 computations (84.9% saved)

preprocess158.0ms (4.5%)

Memory
9.3MiB live, 436.8MiB allocated; 36ms collecting garbage
Remove

(abs x)

Compiler

Compiled 4 334 to 1 400 computations (67.7% saved)

end0.0ms (0%)

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

Profiling

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