Linear.Quaternion:$ccos from linear-1.19.1.3

Time bar (total: 4.9s)

start0.0ms (0%)

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

analyze30.0ms (0.6%)

Memory
-18.7MiB live, 30.6MiB allocated; 19ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
93.8%93.7%6.2%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
96.9%96.8%3.1%0.1%0%0%0%12
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample862.0ms (17.8%)

Memory
22.4MiB live, 918.3MiB allocated; 226ms collecting garbage
Samples
537.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 357.0ms
ival-sin: 198.0ms (55.5% of total)
ival-div!: 68.0ms (19% of total)
ival-sinh: 51.0ms (14.3% of total)
ival-mult!: 39.0ms (10.9% of total)
adjust: 1.0ms (0.3% of total)
Bogosity

explain71.0ms (1.5%)

Memory
4.2MiB live, 105.3MiB allocated; 16ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(sinh.f64 y)
00-0-(/.f64 (sinh.f64 y) y)
00-0-y
00-0-(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
00-0-(sin.f64 x)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
40.0ms512×0valid
Compiler

Compiled 45 to 22 computations (51.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-sin: 12.0ms (57.2% of total)
ival-sinh: 3.0ms (14.3% of total)
ival-div!: 3.0ms (14.3% of total)
ival-mult!: 2.0ms (9.5% of total)
adjust: 0.0ms (0% of total)

preprocess28.0ms (0.6%)

Memory
-24.0MiB live, 21.7MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01948
15446
215146
337846
4157746
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Symmetry

(negabs x)

Compiler

Compiled 14 to 12 computations (14.3% saved)

series13.0ms (0.3%)

Memory
20.2MiB live, 20.1MiB allocated; 0ms collecting garbage
Counts
6 → 26
Calls
Call 1
Inputs
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(sin.f64 x)
x
(/.f64 (sinh.f64 y) y)
(sinh.f64 y)
y
Outputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) 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) y)) #s(hole binary64 (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (sin x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (+ (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) y) #s(hole binary64 1))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))
#s(approx (sinh y) #s(hole binary64 y))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2))))))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))))
#s(approx y #s(hole binary64 y))
#s(approx (/ (sinh y) y) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
#s(approx (sinh y) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
Calls

6 calls:

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

rewrite192.0ms (3.9%)

Memory
15.4MiB live, 155.1MiB allocated; 31ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125528
0129515
1687476
06444448
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
32 → 47
Calls
Call 1
Inputs
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(sin.f64 x)
x
(/.f64 (sinh.f64 y) y)
(sinh.f64 y)
y
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) 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) y)) #s(hole binary64 (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (sin x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (+ (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) y) #s(hole binary64 1))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))
#s(approx (sinh y) #s(hole binary64 y))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2))))))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))))
#s(approx y #s(hole binary64 y))
#s(approx (/ (sinh y) y) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
#s(approx (sinh y) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
Outputs
(*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (*.f64 (sinh.f64 (neg.f64 y)) (sin.f64 x)) (neg.f64 y))
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 (neg.f64 y))) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) (neg.f64 y))
(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) y)
(sin.f64 x)
x
(/.f64 (neg.f64 (sinh.f64 (neg.f64 y))) (neg.f64 (neg.f64 y)))
(/.f64 (sinh.f64 (neg.f64 y)) (neg.f64 y))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 #s(literal 2 binary64) y))
(/.f64 (sinh.f64 y) y)
(neg.f64 (/.f64 (sinh.f64 (neg.f64 y)) y))
(neg.f64 (/.f64 (sinh.f64 y) (neg.f64 y)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64))) (*.f64 (fma.f64 (exp.f64 y) (exp.f64 y) (+.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 2 binary64))
(sinh.f64 y)
(-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64)))
y
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64)) x))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) x) x) #s(literal -1/12 binary64))) y) x))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) x) x) (*.f64 #s(literal -1/12 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) y) (*.f64 x x) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64))) x))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 #s(literal -1/10080 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) x) x))) y) (*.f64 x x) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal -1/12 binary64))) (*.f64 x x) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64))) 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) y)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y)))
#s(approx (sin x) (sin.f64 x))
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)))
#s(approx (* (sin x) (/ (sinh y) y)) (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)))
#s(approx (* (sin x) (/ (sinh y) y)) (fma.f64 (fma.f64 (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) (*.f64 y y) (sin.f64 x)))
#s(approx (/ (sinh y) y) #s(literal 1 binary64))
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (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) y) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64)))
#s(approx (sinh y) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))

eval8.0ms (0.2%)

Memory
-30.4MiB live, 13.9MiB allocated; 5ms collecting garbage
Compiler

Compiled 743 to 189 computations (74.6% saved)

prune5.0ms (0.1%)

Memory
12.1MiB live, 12.1MiB allocated; 0ms collecting garbage
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New41849
Fresh000
Picked011
Done000
Total41950
Accuracy
100.0%
Counts
50 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.5%
(*.f64 (sin.f64 x) (/.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))) y))
100.0%
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
91.3%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
88.5%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
79.7%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
64.2%
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (/.f64 (sinh.f64 y) y))
61.0%
(*.f64 #s(approx (sin x) x) (/.f64 (sinh.f64 y) y))
85.2%
#s(approx (* (sin x) (/ (sinh y) y)) (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)))
54.1%
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
Compiler

Compiled 267 to 190 computations (28.8% saved)

series30.0ms (0.6%)

Memory
-9.3MiB live, 36.9MiB allocated; 3ms collecting garbage
Counts
34 → 104
Calls
Call 1
Inputs
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(sin.f64 x)
x
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(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))
(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))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
#s(literal 1/5040 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) y)) (sin.f64 x))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (/.f64 (sinh.f64 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)
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -1/6 binary64)
(*.f64 x x)
(/.f64 (sinh.f64 y) y)
(sinh.f64 y)
(*.f64 (sin.f64 x) (/.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))) y))
(/.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))) y)
(-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64)))
(/.f64 (exp.f64 y) #s(literal 2 binary64))
(exp.f64 y)
#s(literal 2 binary64)
(/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))
(exp.f64 (neg.f64 y))
(neg.f64 y)
Outputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) 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 (* (+ (* -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 (+ (* -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 (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (/ (* x (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y)))
#s(approx (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (* x (- (+ (* -1/6 (/ (* (pow x 2) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y)) (* 1/2 (/ (exp y) y))) (* 1/2 (/ (exp (neg y)) y))))))
#s(approx (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (* x (- (+ (* 1/2 (/ (exp y) y)) (* (pow x 2) (+ (* -1/6 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y)) (* 1/120 (/ (* (pow x 2) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y))))) (* 1/2 (/ (exp (neg y)) y))))))
#s(approx (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (* x (- (+ (* 1/2 (/ (exp y) y)) (* (pow x 2) (+ (* -1/6 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y)) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y)) (* 1/120 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y))))))) (* 1/2 (/ (exp (neg y)) y))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#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) #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 (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (/ (* (sin x) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y)))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (sin x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (+ (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) y) #s(hole binary64 1))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(hole binary64 (+ 1/6 (* 1/120 (pow y 2)))))
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(hole binary64 (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
#s(approx (+ (* 1/5040 (* y y)) 1/120) #s(hole binary64 1/120))
#s(approx (+ (* 1/5040 (* y y)) 1/120) #s(hole binary64 (+ 1/120 (* 1/5040 (pow y 2)))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx y #s(hole binary64 y))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (sinh y) #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 (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (sin x)))
#s(approx (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))))
#s(approx (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))))
#s(approx (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (+ (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 (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 1))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 y))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2))))))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))))
#s(approx (/ (exp y) 2) #s(hole binary64 1/2))
#s(approx (/ (exp y) 2) #s(hole binary64 (+ 1/2 (* 1/2 y))))
#s(approx (/ (exp y) 2) #s(hole binary64 (+ 1/2 (* y (+ 1/2 (* 1/4 y))))))
#s(approx (/ (exp y) 2) #s(hole binary64 (+ 1/2 (* y (+ 1/2 (* y (+ 1/4 (* 1/12 y))))))))
#s(approx (exp y) #s(hole binary64 1))
#s(approx (exp y) #s(hole binary64 (+ 1 y)))
#s(approx (exp y) #s(hole binary64 (+ 1 (* y (+ 1 (* 1/2 y))))))
#s(approx (exp y) #s(hole binary64 (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))))
#s(approx (/ (exp (neg y)) 2) #s(hole binary64 1/2))
#s(approx (/ (exp (neg y)) 2) #s(hole binary64 (+ 1/2 (* -1/2 y))))
#s(approx (/ (exp (neg y)) 2) #s(hole binary64 (+ 1/2 (* y (- (* 1/4 y) 1/2)))))
#s(approx (/ (exp (neg y)) 2) #s(hole binary64 (+ 1/2 (* y (- (* y (+ 1/4 (* -1/12 y))) 1/2)))))
#s(approx (exp (neg y)) #s(hole binary64 1))
#s(approx (exp (neg y)) #s(hole binary64 (+ 1 (* -1 y))))
#s(approx (exp (neg y)) #s(hole binary64 (+ 1 (* y (- (* 1/2 y) 1)))))
#s(approx (exp (neg y)) #s(hole binary64 (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))))
#s(approx (neg y) #s(hole binary64 (* -1 y)))
#s(approx (/ (sinh y) y) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* 1/5040 (pow y 6))))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))))
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(hole binary64 (* 1/5040 (pow y 4))))
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(hole binary64 (* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))))
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(hole binary64 (* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))))
#s(approx (+ (* 1/5040 (* y y)) 1/120) #s(hole binary64 (* 1/5040 (pow y 2))))
#s(approx (+ (* 1/5040 (* y y)) 1/120) #s(hole binary64 (* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (* 1/6 (pow y 2))))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))))
#s(approx (sinh y) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y)))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))))
#s(approx (/ (exp y) 2) #s(hole binary64 (* 1/2 (exp y))))
#s(approx (exp y) #s(hole binary64 (exp y)))
#s(approx (/ (exp (neg y)) 2) #s(hole binary64 (* 1/2 (exp (neg y)))))
#s(approx (exp (neg y)) #s(hole binary64 (exp (neg y))))
#s(approx (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (/ (* (sin x) (- (* 1/2 (exp y)) (* 1/2 (exp (* -1 y))))) y)))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (* -1 y)))) y)))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (- (* 1/2 (exp y)) (* 1/2 (exp (* -1 y))))))
#s(approx (/ (exp (neg y)) 2) #s(hole binary64 (* 1/2 (exp (* -1 y)))))
#s(approx (exp (neg y)) #s(hole binary64 (exp (* -1 y))))
Calls

6 calls:

TimeVariablePointExpression
7.0ms
y
@inf
((* (sin x) (/ (sinh y) y)) (sin x) x (/ (sinh y) y) (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (+ (* 1/5040 (* y y)) 1/120) 1/5040 (* y y) y 1/120 1/6 1 (* (sin x) (/ (sinh y) y)) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (* (sin x) (/ (sinh y) y)) (sin x) (* (+ (* -1/6 (* x x)) 1) x) (+ (* -1/6 (* x x)) 1) -1/6 (* x x) (/ (sinh y) y) (sinh y) (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (/ (exp y) 2) (exp y) 2 (/ (exp (neg y)) 2) (exp (neg y)) (neg y))
5.0ms
y
@-inf
((* (sin x) (/ (sinh y) y)) (sin x) x (/ (sinh y) y) (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (+ (* 1/5040 (* y y)) 1/120) 1/5040 (* y y) y 1/120 1/6 1 (* (sin x) (/ (sinh y) y)) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (* (sin x) (/ (sinh y) y)) (sin x) (* (+ (* -1/6 (* x x)) 1) x) (+ (* -1/6 (* x x)) 1) -1/6 (* x x) (/ (sinh y) y) (sinh y) (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (/ (exp y) 2) (exp y) 2 (/ (exp (neg y)) 2) (exp (neg y)) (neg y))
3.0ms
x
@inf
((* (sin x) (/ (sinh y) y)) (sin x) x (/ (sinh y) y) (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (+ (* 1/5040 (* y y)) 1/120) 1/5040 (* y y) y 1/120 1/6 1 (* (sin x) (/ (sinh y) y)) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (* (sin x) (/ (sinh y) y)) (sin x) (* (+ (* -1/6 (* x x)) 1) x) (+ (* -1/6 (* x x)) 1) -1/6 (* x x) (/ (sinh y) y) (sinh y) (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (/ (exp y) 2) (exp y) 2 (/ (exp (neg y)) 2) (exp (neg y)) (neg y))
3.0ms
x
@-inf
((* (sin x) (/ (sinh y) y)) (sin x) x (/ (sinh y) y) (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (+ (* 1/5040 (* y y)) 1/120) 1/5040 (* y y) y 1/120 1/6 1 (* (sin x) (/ (sinh y) y)) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (* (sin x) (/ (sinh y) y)) (sin x) (* (+ (* -1/6 (* x x)) 1) x) (+ (* -1/6 (* x x)) 1) -1/6 (* x x) (/ (sinh y) y) (sinh y) (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (/ (exp y) 2) (exp y) 2 (/ (exp (neg y)) 2) (exp (neg y)) (neg y))
2.0ms
x
@0
((* (sin x) (/ (sinh y) y)) (sin x) x (/ (sinh y) y) (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (+ (* 1/5040 (* y y)) 1/120) 1/5040 (* y y) y 1/120 1/6 1 (* (sin x) (/ (sinh y) y)) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (* (sin x) (/ (sinh y) y)) (sin x) (* (+ (* -1/6 (* x x)) 1) x) (+ (* -1/6 (* x x)) 1) -1/6 (* x x) (/ (sinh y) y) (sinh y) (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (/ (exp y) 2) (exp y) 2 (/ (exp (neg y)) 2) (exp (neg y)) (neg y))

rewrite191.0ms (3.9%)

Memory
20.1MiB live, 213.9MiB allocated; 39ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03672315
04092012
119461946
085131884
Stop Event
iter-limit
node-limit
iter-limit
Counts
138 → 339
Calls
Call 1
Inputs
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(sin.f64 x)
x
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(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))
(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))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
#s(literal 1/5040 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) y)) (sin.f64 x))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (/.f64 (sinh.f64 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)
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -1/6 binary64)
(*.f64 x x)
(/.f64 (sinh.f64 y) y)
(sinh.f64 y)
(*.f64 (sin.f64 x) (/.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))) y))
(/.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))) y)
(-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64)))
(/.f64 (exp.f64 y) #s(literal 2 binary64))
(exp.f64 y)
#s(literal 2 binary64)
(/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))
(exp.f64 (neg.f64 y))
(neg.f64 y)
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) 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 (* (+ (* -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 (+ (* -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 (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (/ (* x (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y)))
#s(approx (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (* x (- (+ (* -1/6 (/ (* (pow x 2) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y)) (* 1/2 (/ (exp y) y))) (* 1/2 (/ (exp (neg y)) y))))))
#s(approx (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (* x (- (+ (* 1/2 (/ (exp y) y)) (* (pow x 2) (+ (* -1/6 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y)) (* 1/120 (/ (* (pow x 2) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y))))) (* 1/2 (/ (exp (neg y)) y))))))
#s(approx (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (* x (- (+ (* 1/2 (/ (exp y) y)) (* (pow x 2) (+ (* -1/6 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y)) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y)) (* 1/120 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y))))))) (* 1/2 (/ (exp (neg y)) y))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#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) #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 (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (/ (* (sin x) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y)))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (sin x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (+ (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) y) #s(hole binary64 1))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(hole binary64 (+ 1/6 (* 1/120 (pow y 2)))))
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(hole binary64 (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
#s(approx (+ (* 1/5040 (* y y)) 1/120) #s(hole binary64 1/120))
#s(approx (+ (* 1/5040 (* y y)) 1/120) #s(hole binary64 (+ 1/120 (* 1/5040 (pow y 2)))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx y #s(hole binary64 y))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (sinh y) #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 (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (sin x)))
#s(approx (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))))
#s(approx (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))))
#s(approx (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (+ (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 (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 1))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 y))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2))))))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))))
#s(approx (/ (exp y) 2) #s(hole binary64 1/2))
#s(approx (/ (exp y) 2) #s(hole binary64 (+ 1/2 (* 1/2 y))))
#s(approx (/ (exp y) 2) #s(hole binary64 (+ 1/2 (* y (+ 1/2 (* 1/4 y))))))
#s(approx (/ (exp y) 2) #s(hole binary64 (+ 1/2 (* y (+ 1/2 (* y (+ 1/4 (* 1/12 y))))))))
#s(approx (exp y) #s(hole binary64 1))
#s(approx (exp y) #s(hole binary64 (+ 1 y)))
#s(approx (exp y) #s(hole binary64 (+ 1 (* y (+ 1 (* 1/2 y))))))
#s(approx (exp y) #s(hole binary64 (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))))
#s(approx (/ (exp (neg y)) 2) #s(hole binary64 1/2))
#s(approx (/ (exp (neg y)) 2) #s(hole binary64 (+ 1/2 (* -1/2 y))))
#s(approx (/ (exp (neg y)) 2) #s(hole binary64 (+ 1/2 (* y (- (* 1/4 y) 1/2)))))
#s(approx (/ (exp (neg y)) 2) #s(hole binary64 (+ 1/2 (* y (- (* y (+ 1/4 (* -1/12 y))) 1/2)))))
#s(approx (exp (neg y)) #s(hole binary64 1))
#s(approx (exp (neg y)) #s(hole binary64 (+ 1 (* -1 y))))
#s(approx (exp (neg y)) #s(hole binary64 (+ 1 (* y (- (* 1/2 y) 1)))))
#s(approx (exp (neg y)) #s(hole binary64 (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))))
#s(approx (neg y) #s(hole binary64 (* -1 y)))
#s(approx (/ (sinh y) y) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* 1/5040 (pow y 6))))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))))
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(hole binary64 (* 1/5040 (pow y 4))))
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(hole binary64 (* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))))
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(hole binary64 (* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))))
#s(approx (+ (* 1/5040 (* y y)) 1/120) #s(hole binary64 (* 1/5040 (pow y 2))))
#s(approx (+ (* 1/5040 (* y y)) 1/120) #s(hole binary64 (* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (* 1/6 (pow y 2))))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))))
#s(approx (sinh y) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y)))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))))
#s(approx (/ (exp y) 2) #s(hole binary64 (* 1/2 (exp y))))
#s(approx (exp y) #s(hole binary64 (exp y)))
#s(approx (/ (exp (neg y)) 2) #s(hole binary64 (* 1/2 (exp (neg y)))))
#s(approx (exp (neg y)) #s(hole binary64 (exp (neg y))))
#s(approx (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (/ (* (sin x) (- (* 1/2 (exp y)) (* 1/2 (exp (* -1 y))))) y)))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (* -1 y)))) y)))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (- (* 1/2 (exp y)) (* 1/2 (exp (* -1 y))))))
#s(approx (/ (exp (neg y)) 2) #s(hole binary64 (* 1/2 (exp (* -1 y)))))
#s(approx (exp (neg y)) #s(hole binary64 (exp (* -1 y))))
Outputs
(*.f64 (sin.f64 x) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (sin.f64 x))
(sin.f64 x)
x
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 (*.f64 y y)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 (*.f64 y y)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 (neg.f64 (*.f64 y y)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 y y)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y)))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y)))))
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64))
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(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 y)) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 (exp.f64 (neg.f64 y))))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 y)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 y)))) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (exp.f64 y) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (exp.f64 (neg.f64 y))))) #s(literal -4 binary64))
(/.f64 (-.f64 (neg.f64 (exp.f64 y)) (neg.f64 (exp.f64 (neg.f64 y)))) #s(literal -2 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) #s(literal 4 binary64))) (cosh.f64 y))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 (exp.f64 y) #s(literal -3 binary64)) #s(literal 8 binary64))) (+.f64 (pow.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) #s(literal 4 binary64)) (/.f64 (exp.f64 (+.f64 y (neg.f64 y))) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 y)))) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 2 binary64))
(sinh.f64 y)
(-.f64 (/.f64 (pow.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (cosh.f64 y)) (/.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) #s(literal 4 binary64)) (cosh.f64 y)))
(-.f64 (/.f64 (pow.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) #s(literal 4 binary64)) (/.f64 (exp.f64 (+.f64 y (neg.f64 y))) #s(literal 4 binary64))))) (/.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal -3 binary64)) #s(literal 8 binary64)) (+.f64 (pow.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) #s(literal 4 binary64)) (/.f64 (exp.f64 (+.f64 y (neg.f64 y))) #s(literal 4 binary64))))))
(-.f64 (/.f64 (*.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 y))) #s(literal 4 binary64)))
(-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 (exp.f64 y))) #s(literal 2 binary64))
(/.f64 (neg.f64 (exp.f64 y)) #s(literal -2 binary64))
(/.f64 (exp.f64 y) #s(literal 2 binary64))
(+.f64 (/.f64 (cosh.f64 y) #s(literal 2 binary64)) (/.f64 (sinh.f64 y) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 y) #s(literal 3 binary64)) (pow.f64 (sinh.f64 y) #s(literal 3 binary64))) (fma.f64 (cosh.f64 y) (cosh.f64 y) (-.f64 (*.f64 (sinh.f64 y) (sinh.f64 y)) (*.f64 (cosh.f64 y) (sinh.f64 y)))))
(exp.f64 y)
(+.f64 (cosh.f64 y) (sinh.f64 y))
#s(literal 2 binary64)
(/.f64 (neg.f64 (neg.f64 (exp.f64 (neg.f64 y)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal -2 binary64))
(/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))
(-.f64 (/.f64 (cosh.f64 y) #s(literal 2 binary64)) (/.f64 (sinh.f64 y) #s(literal 2 binary64)))
(+.f64 (/.f64 (cosh.f64 y) #s(literal 2 binary64)) (/.f64 (sinh.f64 (neg.f64 y)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) y)
(pow.f64 (exp.f64 y) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (cosh.f64 y) #s(literal 3 binary64)) (pow.f64 (sinh.f64 y) #s(literal 3 binary64))) (fma.f64 (cosh.f64 y) (cosh.f64 y) (fma.f64 (sinh.f64 y) (sinh.f64 y) (*.f64 (cosh.f64 y) (sinh.f64 y)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 y) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 y)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 y) (cosh.f64 y) (-.f64 (*.f64 (sinh.f64 (neg.f64 y)) (sinh.f64 (neg.f64 y))) (*.f64 (cosh.f64 y) (sinh.f64 (neg.f64 y))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 y)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 y))))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (exp.f64 y))
(-.f64 (cosh.f64 y) (sinh.f64 y))
(exp.f64 (-.f64 #s(literal 0 binary64) y))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) y))
(exp.f64 (*.f64 (log.f64 (exp.f64 y)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 y))
(+.f64 (cosh.f64 y) (sinh.f64 (neg.f64 y)))
(*.f64 #s(literal -1 binary64) y)
(*.f64 y #s(literal -1 binary64))
(neg.f64 y)
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) x) y) #s(literal 1/2 binary64)))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))) y) x))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 (*.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)))) y) (*.f64 x x) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64))) x))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 (*.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)))) y) (*.f64 x x) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal -1/12 binary64))) (*.f64 x x) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64))) 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 x 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 (+ (* -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 (* (sin x) (/ (sinh y) y)) (*.f64 x (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))) y) x))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))) y) (*.f64 x x) (*.f64 (/.f64 (exp.f64 y) y) #s(literal 1/2 binary64))) (*.f64 (/.f64 (exp.f64 (neg.f64 y)) y) #s(literal 1/2 binary64))) x))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (-.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))) y) (*.f64 x x) (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) (*.f64 (/.f64 (exp.f64 y) y) #s(literal 1/2 binary64))) (*.f64 (/.f64 (exp.f64 (neg.f64 y)) y) #s(literal 1/2 binary64))) x))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (sin.f64 x) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y)) #s(literal 1/2 binary64)))
#s(approx (sin x) (sin.f64 x))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 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 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (sin.f64 x) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64))))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) (neg.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
#s(approx (* (sin x) (/ (sinh y) y)) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x) (sin.f64 x)))
#s(approx (* (sin x) (/ (sinh y) y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 (*.f64 y y) (sin.f64 x)) #s(literal 1/120 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) (sin.f64 x)))
#s(approx (* (sin x) (/ (sinh y) y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) (sin.f64 x) (*.f64 (sin.f64 x) #s(literal 1/120 binary64))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) (sin.f64 x)))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(literal 1 binary64))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(literal 1/6 binary64))
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)))
#s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64))
#s(approx (+ (* 1/5040 (* y y)) 1/120) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
#s(approx (* y y) (*.f64 y y))
#s(approx y y)
#s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64))
#s(approx (+ (* (* y y) 1/6) 1) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) y))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #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) y)) (sin.f64 x))
#s(approx (* (sin x) (/ (sinh y) y)) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x) (sin.f64 x)))
#s(approx (* (sin x) (/ (sinh y) y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 (*.f64 y y) (sin.f64 x)) #s(literal 1/120 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) (sin.f64 x)))
#s(approx (* (sin x) (/ (sinh y) y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) (sin.f64 x) (*.f64 (sin.f64 x) #s(literal 1/120 binary64))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) (sin.f64 x)))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(literal 1 binary64))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) y))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))
#s(approx (/ (exp y) 2) #s(literal 1/2 binary64))
#s(approx (/ (exp y) 2) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1/2 binary64)))
#s(approx (/ (exp y) 2) (fma.f64 (fma.f64 #s(literal 1/4 binary64) y #s(literal 1/2 binary64)) y #s(literal 1/2 binary64)))
#s(approx (/ (exp y) 2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) y #s(literal 1/4 binary64)) y #s(literal 1/2 binary64)) y #s(literal 1/2 binary64)))
#s(approx (exp y) #s(literal 1 binary64))
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
#s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (/ (exp (neg y)) 2) #s(literal 1/2 binary64))
#s(approx (/ (exp (neg y)) 2) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))
#s(approx (/ (exp (neg y)) 2) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/2 binary64)))
#s(approx (/ (exp (neg y)) 2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) y #s(literal 1/4 binary64)) y) #s(literal 1/2 binary64)) y #s(literal 1/2 binary64)))
#s(approx (exp (neg y)) #s(literal 1 binary64))
#s(approx (exp (neg y)) (fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64)))
#s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (neg y) (neg.f64 y))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/5040 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (*.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/120 binary64) #s(literal 1/5040 binary64)) (pow.f64 y #s(literal 6 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (*.f64 (+.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 1/5040 binary64)) (pow.f64 y #s(literal 6 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (*.f64 (+.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/120 binary64) (pow.f64 y #s(literal -6 binary64)))) (pow.f64 y #s(literal 6 binary64))))
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/5040 binary64)))
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/120 binary64) #s(literal 1/5040 binary64))))
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (+.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 1/5040 binary64)) (pow.f64 y #s(literal 4 binary64))))
#s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))
#s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/120 binary64) #s(literal 1/5040 binary64)) (*.f64 y y)))
#s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))
#s(approx (+ (* (* y y) 1/6) 1) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64)))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))
#s(approx (/ (exp y) 2) (*.f64 (exp.f64 y) #s(literal 1/2 binary64)))
#s(approx (exp y) (exp.f64 y))
#s(approx (/ (exp (neg y)) 2) (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)))
#s(approx (exp (neg y)) (exp.f64 (neg.f64 y)))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (sin.f64 x) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64))))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64)))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))
#s(approx (/ (exp (neg y)) 2) (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)))
#s(approx (exp (neg y)) (exp.f64 (neg.f64 y)))

eval55.0ms (1.1%)

Memory
7.2MiB live, 109.1MiB allocated; 14ms collecting garbage
Compiler

Compiled 10 805 to 1 732 computations (84% saved)

prune21.0ms (0.4%)

Memory
-9.6MiB live, 36.3MiB allocated; 4ms collecting garbage
Pruning

18 alts after pruning (14 fresh and 4 done)

PrunedKeptTotal
New38114395
Fresh303
Picked235
Done011
Total38618404
Accuracy
100.0%
Counts
404 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.5%
(*.f64 (sin.f64 x) (/.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(approx (/ (exp (neg y)) 2) (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)))) y))
100.0%
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
88.5%
(*.f64 (sin.f64 x) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
91.3%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
91.0%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
79.7%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
29.3%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
55.6%
(*.f64 #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 (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
59.9%
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
39.2%
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) y))
61.0%
(*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) x)) (/.f64 (sinh.f64 y) y))
54.8%
(*.f64 #s(approx (sin x) x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
46.6%
(*.f64 #s(approx (sin x) x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
79.7%
#s(approx (* (sin x) (/ (sinh y) y)) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x) (sin.f64 x)))
54.1%
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
41.7%
#s(approx (* (sin x) (/ (sinh y) y)) #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)))
36.0%
#s(approx (* (sin x) (/ (sinh y) y)) #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)))
29.0%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) x))
Compiler

Compiled 763 to 512 computations (32.9% saved)

series25.0ms (0.5%)

Memory
-16.3MiB live, 30.7MiB allocated; 2ms collecting garbage
Counts
39 → 97
Calls
Call 1
Inputs
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(sin.f64 x)
x
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64))
#s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))
(*.f64 (*.f64 y y) #s(literal 1/5040 binary64))
(*.f64 y y)
y
#s(literal 1/5040 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) x))
#s(approx (sin x) x)
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) 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)
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -1/6 binary64)
(*.f64 x x)
(/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) y)
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)
(*.f64 #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 (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (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))
(*.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)
(fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
#s(literal 1/120 binary64)
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(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))
(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))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) x)) (/.f64 (sinh.f64 y) y))
#s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) x))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) x)
(/.f64 (sinh.f64 y) y)
(sinh.f64 y)
Outputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) 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) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (/ (* x (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y)))
#s(approx (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (* x (- (+ (* -1/6 (/ (* (pow x 2) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y)) (* 1/2 (/ (exp y) y))) (* 1/2 (/ (exp (neg y)) y))))))
#s(approx (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (* x (- (+ (* 1/2 (/ (exp y) y)) (* (pow x 2) (+ (* -1/6 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y)) (* 1/120 (/ (* (pow x 2) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y))))) (* 1/2 (/ (exp (neg y)) y))))))
#s(approx (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (* x (- (+ (* 1/2 (/ (exp y) y)) (* (pow x 2) (+ (* -1/6 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y)) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y)) (* 1/120 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y))))))) (* 1/2 (/ (exp (neg y)) 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 (+ (* -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 (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))
#s(approx (- (* (* x x) 1/120) 1/6) #s(hole binary64 -1/6))
#s(approx (- (* (* x x) 1/120) 1/6) #s(hole binary64 (- (* 1/120 (pow x 2)) 1/6)))
#s(approx (* (* x x) 1/120) #s(hole binary64 (* 1/120 (pow x 2))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (/ (* (sin x) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) 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) #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 (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) #s(hole binary64 (* 1/120 (pow x 5))))
#s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) #s(hole binary64 (* 1/120 (pow x 4))))
#s(approx (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* (* x x) 1/120) 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 (- (* (* x x) 1/120) 1/6) #s(hole binary64 (* 1/120 (pow x 2))))
#s(approx (- (* (* x x) 1/120) 1/6) #s(hole binary64 (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#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) 1/120) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))))
#s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4))))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (sin x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (+ (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) y) #s(hole binary64 1))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(hole binary64 (+ 1/6 (* 1/120 (pow y 2)))))
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(hole binary64 (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
#s(approx (+ (* 1/5040 (* y y)) 1/120) #s(hole binary64 1/120))
#s(approx (+ (* 1/5040 (* y y)) 1/120) #s(hole binary64 (+ 1/120 (* 1/5040 (pow y 2)))))
#s(approx (* (* y y) 1/5040) #s(hole binary64 (* 1/5040 (pow y 2))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx y #s(hole binary64 y))
#s(approx (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (sin x)))
#s(approx (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))))
#s(approx (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))))
#s(approx (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (+ (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 (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 1))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 y))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2))))))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))))
#s(approx (sinh y) #s(hole binary64 y))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2))))))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))))
#s(approx (/ (sinh y) y) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* 1/5040 (pow y 6))))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))))
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(hole binary64 (* 1/5040 (pow y 4))))
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(hole binary64 (* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))))
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(hole binary64 (* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))))
#s(approx (+ (* 1/5040 (* y y)) 1/120) #s(hole binary64 (* 1/5040 (pow y 2))))
#s(approx (+ (* 1/5040 (* y y)) 1/120) #s(hole binary64 (* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y)))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))))
#s(approx (sinh y) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
#s(approx (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (/ (* (sin x) (- (* 1/2 (exp y)) (* 1/2 (exp (* -1 y))))) y)))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (* -1 y)))) y)))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (- (* 1/2 (exp y)) (* 1/2 (exp (* -1 y))))))
Calls

6 calls:

TimeVariablePointExpression
10.0ms
y
@-inf
((* (sin x) (/ (sinh y) y)) (sin x) x (/ (sinh y) y) (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (+ (* 1/5040 (* y y)) 1/120) (* (* y y) 1/5040) (* y y) y 1/5040 1/6 1 (* (sin x) (/ (sinh y) y)) (sin x) (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (sin x) (* (+ (* -1/6 (* x x)) 1) x) (+ (* -1/6 (* x x)) 1) -1/6 (* x x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (* (sin x) (/ (sinh y) y)) (sin x) (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) (- (* (* x x) 1/120) 1/6) (* (* x x) 1/120) 1/120 (/ (sinh y) y) (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (+ (* 1/5040 (* y y)) 1/120) (* (sin x) (/ (sinh y) y)) (sin x) (* (+ (* -1/6 (* x x)) 1) x) (/ (sinh y) y) (sinh y))
3.0ms
y
@inf
((* (sin x) (/ (sinh y) y)) (sin x) x (/ (sinh y) y) (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (+ (* 1/5040 (* y y)) 1/120) (* (* y y) 1/5040) (* y y) y 1/5040 1/6 1 (* (sin x) (/ (sinh y) y)) (sin x) (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (sin x) (* (+ (* -1/6 (* x x)) 1) x) (+ (* -1/6 (* x x)) 1) -1/6 (* x x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (* (sin x) (/ (sinh y) y)) (sin x) (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) (- (* (* x x) 1/120) 1/6) (* (* x x) 1/120) 1/120 (/ (sinh y) y) (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (+ (* 1/5040 (* y y)) 1/120) (* (sin x) (/ (sinh y) y)) (sin x) (* (+ (* -1/6 (* x x)) 1) x) (/ (sinh y) y) (sinh y))
3.0ms
x
@inf
((* (sin x) (/ (sinh y) y)) (sin x) x (/ (sinh y) y) (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (+ (* 1/5040 (* y y)) 1/120) (* (* y y) 1/5040) (* y y) y 1/5040 1/6 1 (* (sin x) (/ (sinh y) y)) (sin x) (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (sin x) (* (+ (* -1/6 (* x x)) 1) x) (+ (* -1/6 (* x x)) 1) -1/6 (* x x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (* (sin x) (/ (sinh y) y)) (sin x) (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) (- (* (* x x) 1/120) 1/6) (* (* x x) 1/120) 1/120 (/ (sinh y) y) (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (+ (* 1/5040 (* y y)) 1/120) (* (sin x) (/ (sinh y) y)) (sin x) (* (+ (* -1/6 (* x x)) 1) x) (/ (sinh y) y) (sinh y))
3.0ms
x
@-inf
((* (sin x) (/ (sinh y) y)) (sin x) x (/ (sinh y) y) (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (+ (* 1/5040 (* y y)) 1/120) (* (* y y) 1/5040) (* y y) y 1/5040 1/6 1 (* (sin x) (/ (sinh y) y)) (sin x) (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (sin x) (* (+ (* -1/6 (* x x)) 1) x) (+ (* -1/6 (* x x)) 1) -1/6 (* x x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (* (sin x) (/ (sinh y) y)) (sin x) (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) (- (* (* x x) 1/120) 1/6) (* (* x x) 1/120) 1/120 (/ (sinh y) y) (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (+ (* 1/5040 (* y y)) 1/120) (* (sin x) (/ (sinh y) y)) (sin x) (* (+ (* -1/6 (* x x)) 1) x) (/ (sinh y) y) (sinh y))
2.0ms
x
@0
((* (sin x) (/ (sinh y) y)) (sin x) x (/ (sinh y) y) (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (+ (* 1/5040 (* y y)) 1/120) (* (* y y) 1/5040) (* y y) y 1/5040 1/6 1 (* (sin x) (/ (sinh y) y)) (sin x) (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (sin x) (* (+ (* -1/6 (* x x)) 1) x) (+ (* -1/6 (* x x)) 1) -1/6 (* x x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (* (sin x) (/ (sinh y) y)) (sin x) (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) (- (* (* x x) 1/120) 1/6) (* (* x x) 1/120) 1/120 (/ (sinh y) y) (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (+ (* 1/5040 (* y y)) 1/120) (* (sin x) (/ (sinh y) y)) (sin x) (* (+ (* -1/6 (* x x)) 1) x) (/ (sinh y) y) (sinh y))

rewrite1.7s (35.6%)

Memory
-214.9MiB live, 385.2MiB allocated; 1.8s collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03402638
03852323
116952257
081892209
Stop Event
iter-limit
node-limit
iter-limit
Counts
136 → 345
Calls
Call 1
Inputs
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(sin.f64 x)
x
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64))
#s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))
(*.f64 (*.f64 y y) #s(literal 1/5040 binary64))
(*.f64 y y)
y
#s(literal 1/5040 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) x))
#s(approx (sin x) x)
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) 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)
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -1/6 binary64)
(*.f64 x x)
(/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) y)
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)
(*.f64 #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 (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (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))
(*.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)
(fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
#s(literal 1/120 binary64)
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(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))
(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))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) x)) (/.f64 (sinh.f64 y) y))
#s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) x))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) x)
(/.f64 (sinh.f64 y) y)
(sinh.f64 y)
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) 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) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (/ (* x (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y)))
#s(approx (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (* x (- (+ (* -1/6 (/ (* (pow x 2) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y)) (* 1/2 (/ (exp y) y))) (* 1/2 (/ (exp (neg y)) y))))))
#s(approx (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (* x (- (+ (* 1/2 (/ (exp y) y)) (* (pow x 2) (+ (* -1/6 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y)) (* 1/120 (/ (* (pow x 2) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y))))) (* 1/2 (/ (exp (neg y)) y))))))
#s(approx (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (* x (- (+ (* 1/2 (/ (exp y) y)) (* (pow x 2) (+ (* -1/6 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y)) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y)) (* 1/120 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y))))))) (* 1/2 (/ (exp (neg y)) 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 (+ (* -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 (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))
#s(approx (- (* (* x x) 1/120) 1/6) #s(hole binary64 -1/6))
#s(approx (- (* (* x x) 1/120) 1/6) #s(hole binary64 (- (* 1/120 (pow x 2)) 1/6)))
#s(approx (* (* x x) 1/120) #s(hole binary64 (* 1/120 (pow x 2))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (/ (* (sin x) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) 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) #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 (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) #s(hole binary64 (* 1/120 (pow x 5))))
#s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) #s(hole binary64 (* 1/120 (pow x 4))))
#s(approx (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* (* x x) 1/120) 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 (- (* (* x x) 1/120) 1/6) #s(hole binary64 (* 1/120 (pow x 2))))
#s(approx (- (* (* x x) 1/120) 1/6) #s(hole binary64 (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#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) 1/120) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))))
#s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4))))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (sin x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (+ (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) y) #s(hole binary64 1))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(hole binary64 (+ 1/6 (* 1/120 (pow y 2)))))
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(hole binary64 (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
#s(approx (+ (* 1/5040 (* y y)) 1/120) #s(hole binary64 1/120))
#s(approx (+ (* 1/5040 (* y y)) 1/120) #s(hole binary64 (+ 1/120 (* 1/5040 (pow y 2)))))
#s(approx (* (* y y) 1/5040) #s(hole binary64 (* 1/5040 (pow y 2))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx y #s(hole binary64 y))
#s(approx (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (sin x)))
#s(approx (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))))
#s(approx (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))))
#s(approx (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (+ (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 (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 1))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 y))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2))))))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))))
#s(approx (sinh y) #s(hole binary64 y))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2))))))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))))
#s(approx (/ (sinh y) y) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* 1/5040 (pow y 6))))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))))
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(hole binary64 (* 1/5040 (pow y 4))))
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(hole binary64 (* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))))
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(hole binary64 (* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))))
#s(approx (+ (* 1/5040 (* y y)) 1/120) #s(hole binary64 (* 1/5040 (pow y 2))))
#s(approx (+ (* 1/5040 (* y y)) 1/120) #s(hole binary64 (* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y)))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))))
#s(approx (sinh y) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
#s(approx (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (/ (* (sin x) (- (* 1/2 (exp y)) (* 1/2 (exp (* -1 y))))) y)))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (* -1 y)))) y)))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (- (* 1/2 (exp y)) (* 1/2 (exp (* -1 y))))))
Outputs
(*.f64 (sin.f64 x) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (sin.f64 x))
(sin.f64 x)
x
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y))))
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(fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64))
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(+.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y)))
(/.f64 (-.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y)) #s(literal 2 binary64))) (-.f64 #s(literal 1/6 binary64) (*.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y))))
(/.f64 (+.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y)) #s(literal 3 binary64))) (+.f64 #s(literal 1/36 binary64) (-.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y)) #s(literal 2 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y))))))
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(/.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/216 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y)) #s(literal 2 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y)) #s(literal 1/6 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y)) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (-.f64 (*.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y)) #s(literal 1/6 binary64)))
(/.f64 (fma.f64 (pow.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/216 binary64)) (+.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y)) #s(literal 2 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y)) #s(literal 1/6 binary64)))))
(fma.f64 (*.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) y) y #s(literal 1/6 binary64))
(fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64))
(fma.f64 (*.f64 y y) #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y)) #s(literal 1/6 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y)) #s(literal 2 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y)) #s(literal 1/6 binary64))))) (/.f64 #s(literal 1/216 binary64) (+.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y)) #s(literal 2 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y)) #s(literal 1/6 binary64))))))
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#s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))
(*.f64 (*.f64 #s(literal 1/5040 binary64) y) y)
(*.f64 (*.f64 y y) #s(literal 1/5040 binary64))
(*.f64 #s(literal 1/5040 binary64) (*.f64 y y))
(*.f64 y (*.f64 y #s(literal 1/5040 binary64)))
(*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.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 (neg.f64 (neg.f64 y)) (neg.f64 (neg.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))
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#s(approx x x)
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 x (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))) y) x))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))) y) (*.f64 x x) (*.f64 (/.f64 (exp.f64 y) y) #s(literal 1/2 binary64))) (*.f64 (/.f64 (exp.f64 (neg.f64 y)) y) #s(literal 1/2 binary64))) x))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (-.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))) y) (*.f64 x x) (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) (*.f64 (/.f64 (exp.f64 y) y) #s(literal 1/2 binary64))) (*.f64 (/.f64 (exp.f64 (neg.f64 y)) y) #s(literal 1/2 binary64))) x))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) x)
#s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) x))
#s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* -1/6 (* x x)) 1) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)
#s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) x))
#s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) 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 (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)))
#s(approx (+ (* (- (* (* x x) 1/120) 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 (- (* (* x x) 1/120) 1/6) #s(literal -1/6 binary64))
#s(approx (- (* (* x x) 1/120) 1/6) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
#s(approx (* (* x x) 1/120) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (sin.f64 x) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y)) #s(literal 1/2 binary64)))
#s(approx (sin x) (sin.f64 x))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (sin.f64 x) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64))))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 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 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)))
#s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) (*.f64 (-.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/120 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/120 binary64)))
#s(approx (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)))))
#s(approx (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/120 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (* (* x x) 1/120) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))
#s(approx (- (* (* x x) 1/120) 1/6) (*.f64 (-.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #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) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) (neg.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) (neg.f64 (*.f64 (-.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/120 binary64)) (pow.f64 x #s(literal -4 binary64))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
#s(approx (* (sin x) (/ (sinh y) y)) (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (sin.f64 x) (sin.f64 x)))
#s(approx (* (sin x) (/ (sinh y) y)) (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)))
#s(approx (* (sin x) (/ (sinh y) y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) (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)))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(literal 1 binary64))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(literal 1/6 binary64))
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
#s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64))
#s(approx (+ (* 1/5040 (* y y)) 1/120) (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)))
#s(approx (* (* y y) 1/5040) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))
#s(approx (* y y) (*.f64 y y))
#s(approx y y)
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
#s(approx (* (sin x) (/ (sinh y) y)) (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (sin.f64 x) (sin.f64 x)))
#s(approx (* (sin x) (/ (sinh y) y)) (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)))
#s(approx (* (sin x) (/ (sinh y) y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) (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)))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(literal 1 binary64))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (sinh y) y)
#s(approx (sinh y) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #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 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))
#s(approx (sinh y) y)
#s(approx (sinh y) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #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 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/5040 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (*.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/120 binary64) #s(literal 1/5040 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (*.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 1/5040 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (*.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/120 binary64) (pow.f64 y #s(literal -6 binary64))))))
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/5040 binary64)))
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/120 binary64) #s(literal 1/5040 binary64))))
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (+.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 1/5040 binary64)) (pow.f64 y #s(literal 4 binary64))))
#s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))
#s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/120 binary64) #s(literal 1/5040 binary64)) (*.f64 y y)))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64)))
#s(approx (sinh y) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))
#s(approx (sinh y) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (sin.f64 x) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64))))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64)))
#s(approx (sinh y) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))

eval69.0ms (1.4%)

Memory
-0.8MiB live, 147.5MiB allocated; 20ms collecting garbage
Compiler

Compiled 20 610 to 2 213 computations (89.3% saved)

prune20.0ms (0.4%)

Memory
4.8MiB live, 51.1MiB allocated; 2ms collecting garbage
Pruning

19 alts after pruning (12 fresh and 7 done)

PrunedKeptTotal
New4846490
Fresh369
Picked235
Done044
Total48919508
Accuracy
100.0%
Counts
508 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.5%
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) x)) #s(approx (sinh y) y)) y)
50.5%
(*.f64 (sin.f64 x) (/.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(approx (/ (exp (neg y)) 2) (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)))) y))
100.0%
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
88.5%
(*.f64 (sin.f64 x) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) 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))))
91.3%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
91.0%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
79.7%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
29.3%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
55.6%
(*.f64 #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 (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
55.6%
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(approx (- (* (* x x) 1/120) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
59.9%
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
13.3%
(*.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 (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) y))
54.8%
(*.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
61.0%
(*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) x)) (/.f64 (sinh.f64 y) y))
46.6%
(*.f64 #s(approx (sin x) x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
79.7%
#s(approx (* (sin x) (/ (sinh y) y)) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x) (sin.f64 x)))
54.1%
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
36.0%
#s(approx (* (sin x) (/ (sinh y) y)) #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)))
29.0%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) x))
Compiler

Compiled 813 to 546 computations (32.8% saved)

series46.0ms (0.9%)

Memory
-12.3MiB live, 42.2MiB allocated; 9ms collecting garbage
Counts
44 → 129
Calls
Call 1
Inputs
(*.f64 (sin.f64 x) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) 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))))
(sin.f64 x)
x
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) 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 (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)
(*.f64 #s(approx (sin x) x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (sin x) x)
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(*.f64 #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 (- (/ (exp y) 2) (/ (exp (neg y)) 2)) 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)
#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 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) y)
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)
(*.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (sin x) #s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x))
#s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(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))
(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))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
#s(literal 1/5040 binary64)
(*.f64 #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 (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#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))
(*.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)
(fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))
(*.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) y)
(fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64))
(*.f64 #s(literal 1/5040 binary64) y)
Outputs
#s(approx (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (/ (* x (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y)))
#s(approx (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (* x (- (+ (* -1/6 (/ (* (pow x 2) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y)) (* 1/2 (/ (exp y) y))) (* 1/2 (/ (exp (neg y)) y))))))
#s(approx (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (* x (- (+ (* 1/2 (/ (exp y) y)) (* (pow x 2) (+ (* -1/6 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y)) (* 1/120 (/ (* (pow x 2) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y))))) (* 1/2 (/ (exp (neg y)) y))))))
#s(approx (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (* x (- (+ (* 1/2 (/ (exp y) y)) (* (pow x 2) (+ (* -1/6 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y)) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y)) (* 1/120 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y))))))) (* 1/2 (/ (exp (neg y)) 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) y)) #s(hole binary64 (* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) 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 (+ (* -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 (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))
#s(approx (- (* (* x x) 1/120) 1/6) #s(hole binary64 -1/6))
#s(approx (- (* (* x x) 1/120) 1/6) #s(hole binary64 (- (* 1/120 (pow x 2)) 1/6)))
#s(approx (* (* x x) 1/120) #s(hole binary64 (* 1/120 (pow x 2))))
#s(approx (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (/ (* (sin x) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y)))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) 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) #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 (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) #s(hole binary64 (* 1/120 (pow x 5))))
#s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) #s(hole binary64 (* 1/120 (pow x 4))))
#s(approx (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* (* x x) 1/120) 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 (- (* (* x x) 1/120) 1/6) #s(hole binary64 (* 1/120 (pow x 2))))
#s(approx (- (* (* x x) 1/120) 1/6) #s(hole binary64 (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#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) 1/120) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))))
#s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4))))))))
#s(approx (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (sin x)))
#s(approx (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))))
#s(approx (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))))
#s(approx (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (+ (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 (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 1))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))
#s(approx (+ (* (+ (* (* y y) 1/120) 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) y)) #s(hole binary64 (sin x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (+ (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) y) #s(hole binary64 1))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 y))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2))))))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(hole binary64 (+ 1/6 (* 1/120 (pow y 2)))))
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(hole binary64 (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
#s(approx (+ (* 1/5040 (* y y)) 1/120) #s(hole binary64 1/120))
#s(approx (+ (* 1/5040 (* y y)) 1/120) #s(hole binary64 (+ 1/120 (* 1/5040 (pow y 2)))))
#s(approx (+ (* (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) (* y y)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (+ (* (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
#s(approx (+ (* (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))
#s(approx (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) #s(hole binary64 (+ 1/6 (* 1/120 (pow y 2)))))
#s(approx (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) #s(hole binary64 (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
#s(approx (* (+ (* (* 1/5040 y) y) 1/120) y) #s(hole binary64 (* 1/120 y)))
#s(approx (* (+ (* (* 1/5040 y) y) 1/120) y) #s(hole binary64 (* y (+ 1/120 (* 1/5040 (pow y 2))))))
#s(approx (+ (* (* 1/5040 y) y) 1/120) #s(hole binary64 1/120))
#s(approx (+ (* (* 1/5040 y) y) 1/120) #s(hole binary64 (+ 1/120 (* 1/5040 (pow y 2)))))
#s(approx (* 1/5040 y) #s(hole binary64 (* 1/5040 y)))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y)))
#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 (/ (sinh y) y) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (* 1/6 (pow y 2))))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* 1/5040 (pow y 6))))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))))
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(hole binary64 (* 1/5040 (pow y 4))))
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(hole binary64 (* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))))
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(hole binary64 (* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))))
#s(approx (+ (* 1/5040 (* y y)) 1/120) #s(hole binary64 (* 1/5040 (pow y 2))))
#s(approx (+ (* 1/5040 (* y y)) 1/120) #s(hole binary64 (* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))))
#s(approx (+ (* (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) (* y y)) 1) #s(hole binary64 (* 1/5040 (pow y 6))))
#s(approx (+ (* (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))))
#s(approx (+ (* (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))))
#s(approx (+ (* (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))))
#s(approx (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) #s(hole binary64 (* 1/5040 (pow y 4))))
#s(approx (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) #s(hole binary64 (* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))))
#s(approx (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) #s(hole binary64 (* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))))
#s(approx (* (+ (* (* 1/5040 y) y) 1/120) y) #s(hole binary64 (* 1/5040 (pow y 3))))
#s(approx (* (+ (* (* 1/5040 y) y) 1/120) y) #s(hole binary64 (* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))))
#s(approx (+ (* (* 1/5040 y) y) 1/120) #s(hole binary64 (* 1/5040 (pow y 2))))
#s(approx (+ (* (* 1/5040 y) y) 1/120) #s(hole binary64 (* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))))
#s(approx (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (/ (* (sin x) (- (* 1/2 (exp y)) (* 1/2 (exp (* -1 y))))) y)))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (* -1 y)))) y)))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (- (* 1/2 (exp y)) (* 1/2 (exp (* -1 y))))))
Calls

6 calls:

TimeVariablePointExpression
29.0ms
y
@-inf
((* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (sin x) x (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) 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) y)) (sin x) (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (sin x) (* (+ (* -1/6 (* x x)) 1) x) (+ (* -1/6 (* x x)) 1) (* (* x x) -1/6) (* x x) -1/6 (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (* (sin x) (/ (sinh y) y)) (sin x) (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) (/ (sinh y) y) (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (+ (* 1/5040 (* y y)) 1/120) 1/5040 (* (sin x) (/ (sinh y) y)) (sin x) (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) (- (* (* x x) 1/120) 1/6) (* (* x x) 1/120) (/ (sinh y) y) (+ (* (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) (* y y)) 1) (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) (* (+ (* (* 1/5040 y) y) 1/120) y) (+ (* (* 1/5040 y) y) 1/120) (* 1/5040 y))
4.0ms
y
@inf
((* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (sin x) x (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) 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) y)) (sin x) (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (sin x) (* (+ (* -1/6 (* x x)) 1) x) (+ (* -1/6 (* x x)) 1) (* (* x x) -1/6) (* x x) -1/6 (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (* (sin x) (/ (sinh y) y)) (sin x) (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) (/ (sinh y) y) (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (+ (* 1/5040 (* y y)) 1/120) 1/5040 (* (sin x) (/ (sinh y) y)) (sin x) (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) (- (* (* x x) 1/120) 1/6) (* (* x x) 1/120) (/ (sinh y) y) (+ (* (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) (* y y)) 1) (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) (* (+ (* (* 1/5040 y) y) 1/120) y) (+ (* (* 1/5040 y) y) 1/120) (* 1/5040 y))
3.0ms
x
@-inf
((* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (sin x) x (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) 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) y)) (sin x) (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (sin x) (* (+ (* -1/6 (* x x)) 1) x) (+ (* -1/6 (* x x)) 1) (* (* x x) -1/6) (* x x) -1/6 (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (* (sin x) (/ (sinh y) y)) (sin x) (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) (/ (sinh y) y) (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (+ (* 1/5040 (* y y)) 1/120) 1/5040 (* (sin x) (/ (sinh y) y)) (sin x) (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) (- (* (* x x) 1/120) 1/6) (* (* x x) 1/120) (/ (sinh y) y) (+ (* (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) (* y y)) 1) (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) (* (+ (* (* 1/5040 y) y) 1/120) y) (+ (* (* 1/5040 y) y) 1/120) (* 1/5040 y))
3.0ms
x
@inf
((* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (sin x) x (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) 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) y)) (sin x) (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (sin x) (* (+ (* -1/6 (* x x)) 1) x) (+ (* -1/6 (* x x)) 1) (* (* x x) -1/6) (* x x) -1/6 (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (* (sin x) (/ (sinh y) y)) (sin x) (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) (/ (sinh y) y) (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (+ (* 1/5040 (* y y)) 1/120) 1/5040 (* (sin x) (/ (sinh y) y)) (sin x) (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) (- (* (* x x) 1/120) 1/6) (* (* x x) 1/120) (/ (sinh y) y) (+ (* (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) (* y y)) 1) (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) (* (+ (* (* 1/5040 y) y) 1/120) y) (+ (* (* 1/5040 y) y) 1/120) (* 1/5040 y))
2.0ms
y
@0
((* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (sin x) x (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) 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) y)) (sin x) (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (sin x) (* (+ (* -1/6 (* x x)) 1) x) (+ (* -1/6 (* x x)) 1) (* (* x x) -1/6) (* x x) -1/6 (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (* (sin x) (/ (sinh y) y)) (sin x) (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) (/ (sinh y) y) (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (+ (* 1/5040 (* y y)) 1/120) 1/5040 (* (sin x) (/ (sinh y) y)) (sin x) (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) (- (* (* x x) 1/120) 1/6) (* (* x x) 1/120) (/ (sinh y) y) (+ (* (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) (* y y)) 1) (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) (* (+ (* (* 1/5040 y) y) 1/120) y) (+ (* (* 1/5040 y) y) 1/120) (* 1/5040 y))

rewrite194.0ms (4%)

Memory
46.2MiB live, 279.6MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04063411
04573031
119642967
084982907
Stop Event
iter-limit
node-limit
iter-limit
Counts
173 → 429
Calls
Call 1
Inputs
(*.f64 (sin.f64 x) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) 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))))
(sin.f64 x)
x
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) 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 (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)
(*.f64 #s(approx (sin x) x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (sin x) x)
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(*.f64 #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 (- (/ (exp y) 2) (/ (exp (neg y)) 2)) 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)
#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 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) y)
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)
(*.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (sin x) #s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x))
#s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(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))
(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))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
#s(literal 1/5040 binary64)
(*.f64 #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 (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#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))
(*.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)
(fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))
(*.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) y)
(fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64))
(*.f64 #s(literal 1/5040 binary64) y)
#s(approx (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (/ (* x (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y)))
#s(approx (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (* x (- (+ (* -1/6 (/ (* (pow x 2) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y)) (* 1/2 (/ (exp y) y))) (* 1/2 (/ (exp (neg y)) y))))))
#s(approx (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (* x (- (+ (* 1/2 (/ (exp y) y)) (* (pow x 2) (+ (* -1/6 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y)) (* 1/120 (/ (* (pow x 2) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y))))) (* 1/2 (/ (exp (neg y)) y))))))
#s(approx (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (* x (- (+ (* 1/2 (/ (exp y) y)) (* (pow x 2) (+ (* -1/6 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y)) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y)) (* 1/120 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y))))))) (* 1/2 (/ (exp (neg y)) 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) y)) #s(hole binary64 (* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) 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 (+ (* -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 (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))
#s(approx (- (* (* x x) 1/120) 1/6) #s(hole binary64 -1/6))
#s(approx (- (* (* x x) 1/120) 1/6) #s(hole binary64 (- (* 1/120 (pow x 2)) 1/6)))
#s(approx (* (* x x) 1/120) #s(hole binary64 (* 1/120 (pow x 2))))
#s(approx (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (/ (* (sin x) (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) y)))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) 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) #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 (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) #s(hole binary64 (* 1/120 (pow x 5))))
#s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) #s(hole binary64 (* 1/120 (pow x 4))))
#s(approx (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* (* x x) 1/120) 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 (- (* (* x x) 1/120) 1/6) #s(hole binary64 (* 1/120 (pow x 2))))
#s(approx (- (* (* x x) 1/120) 1/6) #s(hole binary64 (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#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) 1/120) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))))
#s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4))))))))
#s(approx (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (sin x)))
#s(approx (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))))
#s(approx (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))))
#s(approx (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (+ (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 (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 1))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))
#s(approx (+ (* (+ (* (* y y) 1/120) 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) y)) #s(hole binary64 (sin x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (+ (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) y) #s(hole binary64 1))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 y))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2))))))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(hole binary64 (+ 1/6 (* 1/120 (pow y 2)))))
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(hole binary64 (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
#s(approx (+ (* 1/5040 (* y y)) 1/120) #s(hole binary64 1/120))
#s(approx (+ (* 1/5040 (* y y)) 1/120) #s(hole binary64 (+ 1/120 (* 1/5040 (pow y 2)))))
#s(approx (+ (* (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) (* y y)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (+ (* (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
#s(approx (+ (* (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))
#s(approx (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) #s(hole binary64 (+ 1/6 (* 1/120 (pow y 2)))))
#s(approx (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) #s(hole binary64 (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
#s(approx (* (+ (* (* 1/5040 y) y) 1/120) y) #s(hole binary64 (* 1/120 y)))
#s(approx (* (+ (* (* 1/5040 y) y) 1/120) y) #s(hole binary64 (* y (+ 1/120 (* 1/5040 (pow y 2))))))
#s(approx (+ (* (* 1/5040 y) y) 1/120) #s(hole binary64 1/120))
#s(approx (+ (* (* 1/5040 y) y) 1/120) #s(hole binary64 (+ 1/120 (* 1/5040 (pow y 2)))))
#s(approx (* 1/5040 y) #s(hole binary64 (* 1/5040 y)))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y)))
#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 (/ (sinh y) y) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (* 1/6 (pow y 2))))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* 1/5040 (pow y 6))))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))))
#s(approx (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))))
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(hole binary64 (* 1/5040 (pow y 4))))
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(hole binary64 (* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))))
#s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) #s(hole binary64 (* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))))
#s(approx (+ (* 1/5040 (* y y)) 1/120) #s(hole binary64 (* 1/5040 (pow y 2))))
#s(approx (+ (* 1/5040 (* y y)) 1/120) #s(hole binary64 (* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))))
#s(approx (+ (* (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) (* y y)) 1) #s(hole binary64 (* 1/5040 (pow y 6))))
#s(approx (+ (* (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))))
#s(approx (+ (* (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))))
#s(approx (+ (* (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))))
#s(approx (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) #s(hole binary64 (* 1/5040 (pow y 4))))
#s(approx (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) #s(hole binary64 (* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))))
#s(approx (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) #s(hole binary64 (* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))))
#s(approx (* (+ (* (* 1/5040 y) y) 1/120) y) #s(hole binary64 (* 1/5040 (pow y 3))))
#s(approx (* (+ (* (* 1/5040 y) y) 1/120) y) #s(hole binary64 (* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))))
#s(approx (+ (* (* 1/5040 y) y) 1/120) #s(hole binary64 (* 1/5040 (pow y 2))))
#s(approx (+ (* (* 1/5040 y) y) 1/120) #s(hole binary64 (* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))))
#s(approx (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) #s(hole binary64 (/ (* (sin x) (- (* 1/2 (exp y)) (* 1/2 (exp (* -1 y))))) y)))
#s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) #s(hole binary64 (/ (- (* 1/2 (exp y)) (* 1/2 (exp (* -1 y)))) y)))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) #s(hole binary64 (- (* 1/2 (exp y)) (* 1/2 (exp (* -1 y))))))
Outputs
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) (sin.f64 x))
(sin.f64 x)
x
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (*.f64 (neg.f64 (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)))))
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))) (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))
(+.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))))) (/.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))))))
(+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))
(/.f64 (-.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 y y)) #s(literal 3 binary64))) (+.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 y y)) (*.f64 #s(literal -1/120 binary64) (*.f64 y y)) (*.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 y y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 2 binary64)) #s(literal 1/36 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
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(/.f64 (+.f64 #s(literal 1/1728000 binary64) (*.f64 #s(literal 1/128024064000 binary64) (pow.f64 y #s(literal 6 binary64)))) (+.f64 #s(literal 1/14400 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))))))
(fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
(fma.f64 y (*.f64 #s(literal 1/5040 binary64) y) #s(literal 1/120 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))
(-.f64 (/.f64 #s(literal 1/14400 binary64) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))
(-.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)))
(+.f64 (/.f64 (*.f64 #s(literal 1/128024064000 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) (/.f64 #s(literal 1/1728000 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))))
(+.f64 (/.f64 #s(literal 1/1728000 binary64) (+.f64 #s(literal 1/14400 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))) (/.f64 (*.f64 #s(literal 1/128024064000 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 #s(literal 1/14400 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))))
(+.f64 (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))
(+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))
(*.f64 #s(literal 1/5040 binary64) y)
(*.f64 y #s(literal 1/5040 binary64))
#s(approx (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (*.f64 x (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64))))
#s(approx (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.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)))) y) x))
#s(approx (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (*.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) (*.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))) y) (*.f64 x x) (*.f64 (/.f64 (exp.f64 y) y) #s(literal 1/2 binary64))) (*.f64 (/.f64 (exp.f64 (neg.f64 y)) y) #s(literal 1/2 binary64))) x))
#s(approx (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (*.f64 (-.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64)) #s(literal -1/6 binary64) (*.f64 (/.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (*.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))))) y) (*.f64 x x))) (*.f64 x x) (*.f64 (/.f64 (exp.f64 y) y) #s(literal 1/2 binary64))) (*.f64 (/.f64 (exp.f64 (neg.f64 y)) y) #s(literal 1/2 binary64))) x))
#s(approx (sin x) x)
#s(approx (sin x) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) x))
#s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #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 x x)
#s(approx (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) x) y) #s(literal 1/2 binary64)))
#s(approx (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (*.f64 (/.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) y) x))
#s(approx (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 (*.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)))) y) (*.f64 x x) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64))) x))
#s(approx (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 x x)) (*.f64 #s(literal 1/240 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) y) (*.f64 x x) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal -1/12 binary64))) (*.f64 x x) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) 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 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) x))
#s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* -1/6 (* x x)) 1) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)))
#s(approx (* (* x x) -1/6) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)
#s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) x))
#s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) (*.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x))
#s(approx (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)))
#s(approx (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
#s(approx (- (* (* x x) 1/120) 1/6) #s(literal -1/6 binary64))
#s(approx (- (* (* x x) 1/120) 1/6) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
#s(approx (* (* x x) 1/120) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))
#s(approx (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (*.f64 (sin.f64 x) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64))))
#s(approx (sin x) (sin.f64 x))
#s(approx (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (*.f64 (*.f64 (sin.f64 x) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y)) #s(literal 1/2 binary64)))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 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 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)))
#s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) (*.f64 (-.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/120 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/120 binary64)))
#s(approx (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)))))
#s(approx (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/120 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (* (* x x) 1/120) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))
#s(approx (- (* (* x x) 1/120) 1/6) (*.f64 (-.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #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) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) (neg.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) (neg.f64 (*.f64 (-.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/120 binary64)) (pow.f64 x #s(literal -4 binary64))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (sin.f64 x))
#s(approx (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x) (sin.f64 x)))
#s(approx (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (sin.f64 x) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) (sin.f64 x)))
#s(approx (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) (sin.f64 x) (*.f64 (sin.f64 x) #s(literal 1/120 binary64))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) (sin.f64 x)))
#s(approx (/ (sinh y) y) #s(literal 1 binary64))
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (* y y) 1/120) 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 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) 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) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (sin.f64 x))
#s(approx (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x) (sin.f64 x)))
#s(approx (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (sin.f64 x) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) (sin.f64 x)))
#s(approx (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) (sin.f64 x) (*.f64 (sin.f64 x) #s(literal 1/120 binary64))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) (sin.f64 x)))
#s(approx (/ (sinh y) y) #s(literal 1 binary64))
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (+ (* (* y y) 1/6) 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 (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))
#s(approx (+ (* (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) (* y y)) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) (* y y)) 1) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) (* y y)) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) (* y y)) 1) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) #s(literal 1/6 binary64))
#s(approx (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
#s(approx (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)))
#s(approx (+ (* (* 1/5040 y) y) 1/120) #s(literal 1/120 binary64))
#s(approx (+ (* (* 1/5040 y) y) 1/120) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
#s(approx (+ (* (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) (* y y)) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) (* y y)) 1) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) (* y y)) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) (* y y)) 1) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) #s(literal 1/6 binary64))
#s(approx (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
#s(approx (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)))
#s(approx (* (+ (* (* 1/5040 y) y) 1/120) y) (*.f64 #s(literal 1/120 binary64) y))
#s(approx (* (+ (* (* 1/5040 y) y) 1/120) y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y))
#s(approx (+ (* (* 1/5040 y) y) 1/120) #s(literal 1/120 binary64))
#s(approx (+ (* (* 1/5040 y) y) 1/120) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
#s(approx (* 1/5040 y) (*.f64 #s(literal 1/5040 binary64) y))
#s(approx (/ (sinh y) y) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64)))
#s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal 1/120 binary64)) (pow.f64 y #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (+.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/6 binary64) (pow.f64 y #s(literal -4 binary64))) #s(literal 1/120 binary64)) (pow.f64 y #s(literal 4 binary64))))
#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 (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal 1/120 binary64)) (*.f64 y y)))
#s(approx (/ (sinh y) y) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64)))
#s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))
#s(approx (+ (* (* y y) 1/6) 1) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))
#s(approx (+ (* (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) (* y y)) 1) (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/5040 binary64)))
#s(approx (+ (* (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) (* y y)) 1) (*.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/120 binary64) #s(literal 1/5040 binary64)) (pow.f64 y #s(literal 6 binary64))))
#s(approx (+ (* (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) (* y y)) 1) (*.f64 (+.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 1/5040 binary64)) (pow.f64 y #s(literal 6 binary64))))
#s(approx (+ (* (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) (* y y)) 1) (*.f64 (+.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/120 binary64) (pow.f64 y #s(literal -6 binary64)))) (pow.f64 y #s(literal 6 binary64))))
#s(approx (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/5040 binary64)))
#s(approx (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) (*.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/120 binary64) #s(literal 1/5040 binary64)) (pow.f64 y #s(literal 4 binary64))))
#s(approx (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) (*.f64 (+.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 1/5040 binary64)) (pow.f64 y #s(literal 4 binary64))))
#s(approx (+ (* (* 1/5040 y) y) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))
#s(approx (+ (* (* 1/5040 y) y) 1/120) (*.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/120 binary64) #s(literal 1/5040 binary64)) (*.f64 y y)))
#s(approx (+ (* (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) (* y y)) 1) (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/5040 binary64)))
#s(approx (+ (* (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) (* y y)) 1) (*.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/120 binary64) #s(literal 1/5040 binary64)) (pow.f64 y #s(literal 6 binary64))))
#s(approx (+ (* (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) (* y y)) 1) (*.f64 (+.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 1/5040 binary64)) (pow.f64 y #s(literal 6 binary64))))
#s(approx (+ (* (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) (* y y)) 1) (*.f64 (+.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/120 binary64) (pow.f64 y #s(literal -6 binary64)))) (pow.f64 y #s(literal 6 binary64))))
#s(approx (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/5040 binary64)))
#s(approx (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) (*.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/120 binary64) #s(literal 1/5040 binary64)) (pow.f64 y #s(literal 4 binary64))))
#s(approx (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) (*.f64 (+.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 1/5040 binary64)) (pow.f64 y #s(literal 4 binary64))))
#s(approx (* (+ (* (* 1/5040 y) y) 1/120) y) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/5040 binary64)))
#s(approx (* (+ (* (* 1/5040 y) y) 1/120) y) (*.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/120 binary64) #s(literal 1/5040 binary64))))
#s(approx (+ (* (* 1/5040 y) y) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))
#s(approx (+ (* (* 1/5040 y) y) 1/120) (*.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/120 binary64) #s(literal 1/5040 binary64)) (*.f64 y y)))
#s(approx (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (*.f64 (sin.f64 x) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64))))
#s(approx (/ (sinh y) y) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64)))
#s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))

eval103.0ms (2.1%)

Memory
-23.7MiB live, 118.1MiB allocated; 22ms collecting garbage
Compiler

Compiled 22 452 to 2 271 computations (89.9% saved)

prune33.0ms (0.7%)

Memory
-18.6MiB live, 75.2MiB allocated; 4ms collecting garbage
Pruning

26 alts after pruning (17 fresh and 9 done)

PrunedKeptTotal
New51612528
Fresh257
Picked325
Done077
Total52126547
Accuracy
100.0%
Counts
547 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
15.9%
(/.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 (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) y)
50.5%
(*.f64 (sin.f64 x) (/.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(approx (/ (exp (neg y)) 2) (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)))) y))
100.0%
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
88.5%
(*.f64 (sin.f64 x) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) 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))))
88.1%
(*.f64 (sin.f64 x) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))))
91.3%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
91.0%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
79.7%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
29.3%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
54.0%
(*.f64 #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 (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (* (+ (* (* 1/5040 y) y) 1/120) y) (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
55.6%
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(approx (- (* (* x x) 1/120) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
59.9%
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
13.3%
(*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) x)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) y))
54.8%
(*.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
54.8%
(*.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
54.5%
(*.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* (* 1/5040 y) y) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
53.2%
(*.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* (* 1/5040 y) y) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
53.2%
(*.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) (* y y)) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))))
61.0%
(*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) x)) (/.f64 (sinh.f64 y) y))
46.6%
(*.f64 #s(approx (sin x) x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
46.6%
(*.f64 #s(approx (sin x) x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
20.9%
(*.f64 #s(approx (sin x) x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
79.7%
#s(approx (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x) (sin.f64 x)))
54.1%
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
36.0%
#s(approx (* (sin x) (/ (sinh y) y)) #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)))
29.0%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) x))
Compiler

Compiled 1 898 to 726 computations (61.7% saved)

regimes62.0ms (1.3%)

Memory
11.0MiB live, 112.9MiB allocated; 22ms collecting garbage
Counts
41 → 1
Calls
Call 1
Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) x))
(*.f64 #s(approx (sin x) x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(*.f64 #s(approx (sin x) x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) (* y y)) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* (* 1/5040 y) y) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) #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)))
(*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) x)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) 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 (- (/ (exp y) 2) (/ (exp (neg y)) 2)) 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 (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) y)
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) y))
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) x)) #s(approx (sinh y) y)) y)
(*.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* (* 1/5040 y) y) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) #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)))
(*.f64 #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 (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (* (+ (* (* 1/5040 y) y) 1/120) y) (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(approx (- (* (* x x) 1/120) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #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 (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #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 (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(*.f64 #s(approx (sin x) x) (/.f64 (sinh.f64 y) y))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) x)) (/.f64 (sinh.f64 y) y))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (/.f64 (sinh.f64 y) y))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x) (sin.f64 x)))
#s(approx (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x) (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
#s(approx (* (sin x) (/ (sinh y) y)) (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)))
(*.f64 (sin.f64 x) (/.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(approx (/ (exp (neg y)) 2) (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)))) y))
(*.f64 (sin.f64 x) (/.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))) y))
Outputs
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Calls

5 calls:

17.0ms
(/.f64 (sinh.f64 y) y)
12.0ms
x
11.0ms
y
10.0ms
(sin.f64 x)
10.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
100.0%1(/.f64 (sinh.f64 y) y)
100.0%1(sin.f64 x)
100.0%1(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
100.0%1x
100.0%1y
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes52.0ms (1.1%)

Memory
-12.0MiB live, 79.2MiB allocated; 9ms collecting garbage
Counts
37 → 3
Calls
Call 1
Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) x))
(*.f64 #s(approx (sin x) x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(*.f64 #s(approx (sin x) x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) (* y y)) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* (* 1/5040 y) y) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) #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)))
(*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) x)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) 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 (- (/ (exp y) 2) (/ (exp (neg y)) 2)) 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 (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) y)
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) y))
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) x)) #s(approx (sinh y) y)) y)
(*.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* (* 1/5040 y) y) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) #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)))
(*.f64 #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 (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (* (+ (* (* 1/5040 y) y) 1/120) y) (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(approx (- (* (* x x) 1/120) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #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 (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #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 (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(*.f64 #s(approx (sin x) x) (/.f64 (sinh.f64 y) y))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) x)) (/.f64 (sinh.f64 y) y))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (/.f64 (sinh.f64 y) y))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x) (sin.f64 x)))
#s(approx (* (sin x) (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x) (sin.f64 x)))
Outputs
(/.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 (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) y)
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) x) (/.f64 (sinh.f64 y) y))
Calls

5 calls:

13.0ms
x
10.0ms
y
10.0ms
(sin.f64 x)
9.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
7.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
91.3%1(/.f64 (sinh.f64 y) y)
96.7%3(sin.f64 x)
99.5%3(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
96.3%2x
95.4%3y
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes10.0ms (0.2%)

Memory
20.0MiB live, 20.0MiB allocated; 0ms collecting garbage
Counts
34 → 3
Calls
Call 1
Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) x))
(*.f64 #s(approx (sin x) x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(*.f64 #s(approx (sin x) x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) (* y y)) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* (* 1/5040 y) y) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) #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)))
(*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) x)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) 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 (- (/ (exp y) 2) (/ (exp (neg y)) 2)) 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 (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) y)
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) y))
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) x)) #s(approx (sinh y) y)) y)
(*.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* (* 1/5040 y) y) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) #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)))
(*.f64 #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 (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (* (+ (* (* 1/5040 y) y) 1/120) y) (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(approx (- (* (* x x) 1/120) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #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 (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #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 (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(*.f64 #s(approx (sin x) x) (/.f64 (sinh.f64 y) y))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) x)) (/.f64 (sinh.f64 y) y))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (/.f64 (sinh.f64 y) y))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
Outputs
(/.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 (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) y)
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) x) (/.f64 (sinh.f64 y) y))
Calls

1 calls:

8.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
99.4%3(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes9.0ms (0.2%)

Memory
16.7MiB live, 16.7MiB allocated; 0ms collecting garbage
Counts
29 → 3
Calls
Call 1
Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) x))
(*.f64 #s(approx (sin x) x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(*.f64 #s(approx (sin x) x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) (* y y)) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* (* 1/5040 y) y) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) #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)))
(*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) x)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) 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 (- (/ (exp y) 2) (/ (exp (neg y)) 2)) 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 (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) y)
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) y))
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) x)) #s(approx (sinh y) y)) y)
(*.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* (* 1/5040 y) y) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) #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)))
(*.f64 #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 (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (* (+ (* (* 1/5040 y) y) 1/120) y) (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(approx (- (* (* x x) 1/120) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #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 (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #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 (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(*.f64 #s(approx (sin x) x) (/.f64 (sinh.f64 y) y))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) x)) (/.f64 (sinh.f64 y) y))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))))
Outputs
(/.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 (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) y)
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) x) (/.f64 (sinh.f64 y) y))
Calls

1 calls:

7.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
99.2%3(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes9.0ms (0.2%)

Memory
-30.5MiB live, 16.0MiB allocated; 3ms collecting garbage
Counts
27 → 3
Calls
Call 1
Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) x))
(*.f64 #s(approx (sin x) x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(*.f64 #s(approx (sin x) x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) (* y y)) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* (* 1/5040 y) y) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) #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)))
(*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) x)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) 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 (- (/ (exp y) 2) (/ (exp (neg y)) 2)) 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 (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) y)
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) y))
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) x)) #s(approx (sinh y) y)) y)
(*.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* (* 1/5040 y) y) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) #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)))
(*.f64 #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 (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (* (+ (* (* 1/5040 y) y) 1/120) y) (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(approx (- (* (* x x) 1/120) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #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 (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #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 (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(*.f64 #s(approx (sin x) x) (/.f64 (sinh.f64 y) y))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) x)) (/.f64 (sinh.f64 y) y))
Outputs
(/.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 (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) y)
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
(*.f64 #s(approx (sin x) x) (/.f64 (sinh.f64 y) y))
Calls

1 calls:

8.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
99.0%3(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes83.0ms (1.7%)

Memory
3.3MiB live, 50.5MiB allocated; 9ms collecting garbage
Counts
25 → 3
Calls
Call 1
Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) x))
(*.f64 #s(approx (sin x) x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(*.f64 #s(approx (sin x) x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) (* y y)) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* (* 1/5040 y) y) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) #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)))
(*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) x)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) 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 (- (/ (exp y) 2) (/ (exp (neg y)) 2)) 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 (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) y)
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) y))
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) x)) #s(approx (sinh y) y)) y)
(*.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* (* 1/5040 y) y) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) #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)))
(*.f64 #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 (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (* (+ (* (* 1/5040 y) y) 1/120) y) (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(approx (- (* (* x x) 1/120) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #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 (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #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 (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
Outputs
(/.f64 (*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x)) #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) y)
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(approx (- (* (* x x) 1/120) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
Calls

5 calls:

55.0ms
(/.f64 (sinh.f64 y) y)
7.0ms
x
7.0ms
y
7.0ms
(sin.f64 x)
6.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
85.1%2(/.f64 (sinh.f64 y) y)
91.0%5y
77.6%4(sin.f64 x)
72.3%2x
94.0%3(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes31.0ms (0.6%)

Memory
36.1MiB live, 36.1MiB allocated; 0ms collecting garbage
Counts
23 → 2
Calls
Call 1
Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) x))
(*.f64 #s(approx (sin x) x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(*.f64 #s(approx (sin x) x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) (* y y)) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* (* 1/5040 y) y) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) #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)))
(*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) x)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) 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 (- (/ (exp y) 2) (/ (exp (neg y)) 2)) 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 (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) y)
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) y))
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) x)) #s(approx (sinh y) y)) y)
(*.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* (* 1/5040 y) y) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) #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)))
(*.f64 #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 (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (* (+ (* (* 1/5040 y) y) 1/120) y) (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(approx (- (* (* x x) 1/120) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #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 (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #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 (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
Outputs
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(approx (- (* (* x x) 1/120) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
Calls

5 calls:

6.0ms
(sin.f64 x)
6.0ms
x
6.0ms
y
6.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
5.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
61.9%2x
70.4%2(sin.f64 x)
59.9%1(/.f64 (sinh.f64 y) y)
59.9%1y
69.7%2(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes20.0ms (0.4%)

Memory
-24.5MiB live, 21.8MiB allocated; 3ms collecting garbage
Counts
22 → 2
Calls
Call 1
Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) x))
(*.f64 #s(approx (sin x) x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(*.f64 #s(approx (sin x) x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) (* y y)) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* (* 1/5040 y) y) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) #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)))
(*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) x)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) 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 (- (/ (exp y) 2) (/ (exp (neg y)) 2)) 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 (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) y)
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) y))
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) x)) #s(approx (sinh y) y)) y)
(*.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* (* 1/5040 y) y) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) #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)))
(*.f64 #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 (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (* (+ (* (* 1/5040 y) y) 1/120) y) (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(approx (- (* (* x x) 1/120) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #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 (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #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 (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
Outputs
(/.f64 (*.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 (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) y)
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(approx (- (* (* x x) 1/120) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
Calls

2 calls:

14.0ms
(sin.f64 x)
5.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
69.7%2(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
69.7%2(sin.f64 x)
Compiler

Compiled 9 to 9 computations (0% saved)

regimes11.0ms (0.2%)

Memory
23.4MiB live, 23.4MiB allocated; 0ms collecting garbage
Counts
19 → 2
Calls
Call 1
Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) x))
(*.f64 #s(approx (sin x) x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(*.f64 #s(approx (sin x) x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) (* y y)) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* (* 1/5040 y) y) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) #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)))
(*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) x)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) 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 (- (/ (exp y) 2) (/ (exp (neg y)) 2)) 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 (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) y)
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) y))
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) x)) #s(approx (sinh y) y)) y)
(*.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* (* 1/5040 y) y) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) #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)))
(*.f64 #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 (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (* (+ (* (* 1/5040 y) y) 1/120) y) (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
Outputs
(/.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 (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) y)
(*.f64 #s(approx (sin x) x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
Calls

2 calls:

5.0ms
(sin.f64 x)
5.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
68.8%2(sin.f64 x)
68.8%2(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 9 to 9 computations (0% saved)

regimes13.0ms (0.3%)

Memory
-25.8MiB live, 17.7MiB allocated; 6ms collecting garbage
Counts
13 → 2
Calls
Call 1
Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) x))
(*.f64 #s(approx (sin x) x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(*.f64 #s(approx (sin x) x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) (* y y)) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* (* 1/5040 y) y) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) #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)))
(*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) x)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) 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 (- (/ (exp y) 2) (/ (exp (neg y)) 2)) 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 (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) y)
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) y))
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) x)) #s(approx (sinh y) y)) y)
(*.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* (* 1/5040 y) y) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
Outputs
(/.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 (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) y)
(*.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* (* 1/5040 y) y) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
Calls

2 calls:

8.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
4.0ms
(sin.f64 x)
Results
AccuracySegmentsBranch
68.5%2(sin.f64 x)
68.5%2(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 9 to 9 computations (0% saved)

regimes8.0ms (0.2%)

Memory
17.3MiB live, 17.3MiB allocated; 0ms collecting garbage
Counts
12 → 2
Calls
Call 1
Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) x))
(*.f64 #s(approx (sin x) x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(*.f64 #s(approx (sin x) x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) (* y y)) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* (* 1/5040 y) y) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) #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)))
(*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) x)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) 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 (- (/ (exp y) 2) (/ (exp (neg y)) 2)) 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 (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) y)
(*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) y))
(/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) x)) #s(approx (sinh y) y)) y)
Outputs
(/.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 (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y)) y)
(*.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) (* y y)) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))))
Calls

2 calls:

4.0ms
(sin.f64 x)
3.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
67.2%2(sin.f64 x)
67.2%2(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 9 to 9 computations (0% saved)

regimes6.0ms (0.1%)

Memory
14.2MiB live, 14.2MiB allocated; 0ms collecting garbage
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) x))
(*.f64 #s(approx (sin x) x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(*.f64 #s(approx (sin x) x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) (* y y)) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* (* 1/5040 y) y) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) #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)))
(*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) x)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) 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 (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) y))
Outputs
(*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) x)) (/.f64 #s(approx (- (/ (exp y) 2) (/ (exp (neg y)) 2)) y) y))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) (* y y)) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))))
Calls

2 calls:

3.0ms
(sin.f64 x)
3.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
64.6%2(sin.f64 x)
64.6%2(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 9 to 9 computations (0% saved)

regimes16.0ms (0.3%)

Memory
-12.7MiB live, 30.7MiB allocated; 6ms collecting garbage
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) x))
(*.f64 #s(approx (sin x) x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(*.f64 #s(approx (sin x) x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) (* y y)) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))))
(*.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* (* 1/5040 y) y) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) #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)))
Outputs
(*.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (* x x) 1/120) 1/6) (* x x)) 1) x) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* (* (+ (* (* 1/5040 y) y) 1/120) y) y) 1/6) (* y y)) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))))
Calls

5 calls:

6.0ms
(sin.f64 x)
2.0ms
x
2.0ms
y
2.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
2.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
53.2%1y
53.2%1(/.f64 (sinh.f64 y) y)
53.2%1x
53.2%1(sin.f64 x)
53.2%1(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes13.0ms (0.3%)

Memory
-28.9MiB live, 25.6MiB allocated; 6ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) x))
(*.f64 #s(approx (sin x) x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(*.f64 #s(approx (sin x) x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (sin x) x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
Calls

5 calls:

6.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
2.0ms
(sin.f64 x)
2.0ms
x
2.0ms
y
1.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
46.6%1(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
46.6%1y
46.6%1(sin.f64 x)
46.6%1x
46.6%1(/.f64 (sinh.f64 y) y)
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes6.0ms (0.1%)

Memory
14.9MiB live, 14.9MiB allocated; 0ms collecting garbage
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) x))
(*.f64 #s(approx (sin x) x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
Outputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) x))
(*.f64 #s(approx (sin x) x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
Calls

5 calls:

1.0ms
(sin.f64 x)
1.0ms
x
1.0ms
y
1.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
1.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
46.4%3y
36.0%2x
46.4%2(/.f64 (sinh.f64 y) y)
46.4%2(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
35.8%2(sin.f64 x)
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes5.0ms (0.1%)

Memory
14.3MiB live, 14.3MiB 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) y)) #s(approx (sin x) x))
Outputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) x))
Calls

5 calls:

1.0ms
(sin.f64 x)
1.0ms
y
1.0ms
x
1.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
1.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
29.0%1(sin.f64 x)
29.0%1x
29.0%1y
29.0%1(/.f64 (sinh.f64 y) y)
29.0%1(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 15 to 17 computations (-13.3% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999526963254726
+inf
0.0ms
-inf
-58.91844182077747
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999526963254726
+inf
0.0ms
-inf
-58.91844182077747
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999526963254726
+inf
0.0ms
-inf
-58.91844182077747
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999526963254726
+inf
0.0ms
-inf
-58.91844182077747
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999526963254726
+inf
0.0ms
-inf
-58.91844182077747
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0345004272492867e-70
1.091512804642317e-69
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.10672584420626234
7.859729322795116e-305
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.10672584420626234
7.859729322795116e-305
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.10672584420626234
7.859729322795116e-305
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.10672584420626234
7.859729322795116e-305
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.10672584420626234
7.859729322795116e-305
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999526963254726
+inf
Compiler

Compiled 10 to 11 computations (-10% saved)

derivations616.0ms (12.7%)

Memory
-25.0MiB live, 498.0MiB allocated; 93ms collecting garbage
Stop Event
fuel
Compiler

Compiled 1 102 to 140 computations (87.3% saved)

preprocess156.0ms (3.2%)

Memory
3.5MiB live, 236.8MiB allocated; 40ms collecting garbage
Remove

(negabs x)

Compiler

Compiled 4 422 to 1 578 computations (64.3% saved)

end0.0ms (0%)

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

Profiling

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