Linear.Quaternion:$ccosh from linear-1.19.1.3

Time bar (total: 2.4s)

start0.0ms (0%)

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

analyze11.0ms (0.5%)

Memory
17.6MiB live, 17.6MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
50%50%50%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
75%74.9%25%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
87.5%87.4%12.5%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
93.8%93.7%6.2%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
96.9%96.8%3.1%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
98.4%98.3%1.6%0.1%0%0%0%12
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.0s (42.8%)

Memory
5.3MiB live, 1 238.8MiB allocated; 226ms collecting garbage
Samples
749.0ms8 255×0valid
0.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 493.0ms
ival-sin: 302.0ms (61.2% of total)
ival-div!: 73.0ms (14.8% of total)
ival-sinh: 68.0ms (13.8% of total)
ival-mult!: 48.0ms (9.7% of total)
adjust: 2.0ms (0.4% of total)
Bogosity

explain75.0ms (3.2%)

Memory
30.1MiB live, 130.7MiB allocated; 4ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
340-4(-1.8072527722915066e-133 1.6404329890611934e-179)(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
00-0-(sinh.f64 y)
00-0-y
00-0-(*.f64 (sin.f64 x) (sinh.f64 y))
00-0-(sin.f64 x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)u/n300
(*.f64 (sin.f64 x) (sinh.f64 y))underflow30
Confusion
Predicted +Predicted -
+304
-0222
Precision
1.0
Recall
0.8823529411764706
Confusion?
Predicted +Predicted MaybePredicted -
+3004
-00222
Precision?
1.0
Recall?
0.8823529411764706
Freqs
test
numberfreq
0226
130
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
36.0ms512×0valid
Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-sin: 12.0ms (57.7% of total)
ival-sinh: 3.0ms (14.4% of total)
ival-mult!: 3.0ms (14.4% of total)
ival-div!: 3.0ms (14.4% of total)
adjust: 0.0ms (0% of total)

preprocess26.0ms (1.1%)

Memory
2.5MiB live, 49.3MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

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

(abs x)

Compiler

Compiled 14 to 12 computations (14.3% saved)

series16.0ms (0.7%)

Memory
-14.2MiB live, 32.9MiB allocated; 1ms collecting garbage
Counts
6 → 30
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
(*.f64 (sin.f64 x) (sinh.f64 y))
(sin.f64 x)
x
(sinh.f64 y)
y
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* 1/2 (* x (- (exp y) (/ 1 (exp y)))))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (/ (* y (sin x)) x)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x)))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* y (sin x))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))))))
#s(approx (sinh y) #s(hole binary64 y))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2))))))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))))
#s(approx y #s(hole binary64 y))
#s(approx (sinh y) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
Calls

6 calls:

TimeVariablePointExpression
5.0ms
x
@inf
((/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (sin x) x (sinh y) y)
3.0ms
y
@-inf
((/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (sin x) x (sinh y) y)
2.0ms
x
@-inf
((/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (sin x) x (sinh y) y)
2.0ms
y
@inf
((/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (sin x) x (sinh y) y)
1.0ms
x
@0
((/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (sin x) x (sinh y) y)

rewrite164.0ms (7%)

Memory
12.7MiB live, 198.8MiB allocated; 16ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

eval5.0ms (0.2%)

Memory
11.3MiB live, 11.3MiB allocated; 0ms collecting garbage
Compiler

Compiled 797 to 208 computations (73.9% saved)

prune15.0ms (0.6%)

Memory
-39.6MiB live, 7.6MiB allocated; 1ms collecting garbage
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New40545
Fresh000
Picked011
Done000
Total40646
Accuracy
100.0%
Counts
46 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.5%
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
43.0%
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) y)) x)
99.9%
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
86.5%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) x) y))
54.4%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
64.2%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))
Compiler

Compiled 137 to 106 computations (22.6% saved)

series39.0ms (1.7%)

Memory
2.3MiB live, 55.1MiB allocated; 5ms collecting garbage
Counts
25 → 97
Calls
Call 1
Inputs
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
(/.f64 (sinh.f64 y) x)
(sinh.f64 y)
y
x
(sin.f64 x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))
(*.f64 #s(literal 2 binary64) (sinh.f64 y))
#s(literal 2 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
(*.f64 (/.f64 (sin.f64 x) x) y)
(/.f64 (sin.f64 x) x)
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) y)) x)
(*.f64 (sin.f64 x) #s(approx (sinh y) y))
#s(approx (sinh y) y)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) x) y))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) x) y)
(/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) x)
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(*.f64 y y)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
Outputs
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))))
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))))
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))))
#s(approx (/ (sinh y) x) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))))
#s(approx x #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))))
#s(approx (* (/ (sin x) x) y) #s(hole binary64 y))
#s(approx (* (/ (sin x) x) y) #s(hole binary64 (+ y (* -1/6 (* (pow x 2) y)))))
#s(approx (* (/ (sin x) x) y) #s(hole binary64 (+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y)))))))
#s(approx (* (/ (sin x) x) y) #s(hole binary64 (+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y))))))))
#s(approx (/ (sin x) x) #s(hole binary64 1))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* 1/2 (* x (- (exp y) (/ 1 (exp y)))))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))))))
#s(approx (* (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2))))))
#s(approx (* (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) y) #s(hole binary64 (+ (* -1/6 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2)))))) (* y (+ 1 (* 1/6 (pow y 2)))))))
#s(approx (* (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) y) #s(hole binary64 (+ (* y (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* 1/6 (pow y 2))))) (* 1/120 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2)))))))))))
#s(approx (* (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) y) #s(hole binary64 (+ (* y (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* 1/6 (pow y 2))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2)))))) (* 1/120 (* y (+ 1 (* 1/6 (pow y 2))))))))))))
#s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) #s(hole binary64 (+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2))))))
#s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) #s(hole binary64 (+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (* 1/120 (* (pow x 2) (+ 1 (* 1/6 (pow y 2)))))))))))
#s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) #s(hole binary64 (+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/120 (+ 1 (* 1/6 (pow y 2))))))))))))
#s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) #s(hole binary64 (* x (+ 1 (* 1/6 (pow y 2))))))
#s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) #s(hole binary64 (* x (+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2)))))))
#s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) #s(hole binary64 (* x (+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (* 1/120 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))))))))))
#s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) #s(hole binary64 (* x (+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/120 (+ 1 (* 1/6 (pow y 2)))))))))))))
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))))
#s(approx (* (/ (sin x) x) y) #s(hole binary64 (/ (* y (sin x)) x)))
#s(approx (/ (sin x) x) #s(hole binary64 (/ (sin x) x)))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))))
#s(approx (* (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) y) #s(hole binary64 (/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x)))
#s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) #s(hole binary64 (/ (* (sin x) (+ 1 (* 1/6 (pow y 2)))) x)))
#s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) #s(hole binary64 (* (sin x) (+ 1 (* 1/6 (pow y 2))))))
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (/ (* y (sin x)) x)))
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))))
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))))
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x)))))
#s(approx (/ (sinh y) x) #s(hole binary64 (/ y x)))
#s(approx (/ (sinh y) x) #s(hole binary64 (* y (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x)))))
#s(approx (/ (sinh y) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))))
#s(approx (/ (sinh y) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))))
#s(approx (sinh y) #s(hole binary64 y))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2))))))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))))
#s(approx y #s(hole binary64 y))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (/ (* y (sin x)) x)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x)))))
#s(approx (* (* 2 (sinh y)) 1/2) #s(hole binary64 y))
#s(approx (* (* 2 (sinh y)) 1/2) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2))))))
#s(approx (* (* 2 (sinh y)) 1/2) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))
#s(approx (* (* 2 (sinh y)) 1/2) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))))
#s(approx (* 2 (sinh y)) #s(hole binary64 (* 2 y)))
#s(approx (* 2 (sinh y)) #s(hole binary64 (* y (+ 2 (* 1/3 (pow y 2))))))
#s(approx (* 2 (sinh y)) #s(hole binary64 (* y (+ 2 (* (pow y 2) (+ 1/3 (* 1/60 (pow y 2))))))))
#s(approx (* 2 (sinh y)) #s(hole binary64 (* y (+ 2 (* (pow y 2) (+ 1/3 (* (pow y 2) (+ 1/60 (* 1/2520 (pow y 2))))))))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* y (sin x))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))))))
#s(approx (* (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) y) #s(hole binary64 (/ (* y (sin x)) x)))
#s(approx (* (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) y) #s(hole binary64 (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))))
#s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) #s(hole binary64 (/ (sin x) x)))
#s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) #s(hole binary64 (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))))
#s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) #s(hole binary64 (sin x)))
#s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) #s(hole binary64 (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (sinh y) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
#s(approx (* (* 2 (sinh y)) 1/2) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
#s(approx (* 2 (sinh y)) #s(hole binary64 (- (exp y) (/ 1 (exp y)))))
#s(approx (* (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) y) #s(hole binary64 (* 1/6 (/ (* (pow y 3) (sin x)) x))))
#s(approx (* (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) y) #s(hole binary64 (* (pow y 3) (+ (* 1/6 (/ (sin x) x)) (/ (sin x) (* x (pow y 2)))))))
#s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) #s(hole binary64 (* 1/6 (/ (* (pow y 2) (sin x)) x))))
#s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) #s(hole binary64 (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (/ (sin x) (* x (pow y 2)))))))
#s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) #s(hole binary64 (* 1/6 (* (pow y 2) (sin x)))))
#s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) #s(hole binary64 (* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (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 (* (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) y) #s(hole binary64 (* -1 (* (pow y 3) (+ (* -1 (/ (sin x) (* x (pow y 2)))) (* -1/6 (/ (sin x) x)))))))
Calls

6 calls:

TimeVariablePointExpression
15.0ms
y
@-inf
((* (/ (sinh y) x) (sin x)) (/ (sinh y) x) (sinh y) y x (sin x) (/ (* (sin x) (sinh y)) x) (* (* 2 (sinh y)) 1/2) (* 2 (sinh y)) 2 1/2 (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (sinh y) (/ (* (sin x) (sinh y)) x) (* (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) y) (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) (* (+ (* (* y y) 1/6) 1) (sin x)) (+ (* (* y y) 1/6) 1) (* y y) 1/6 1)
8.0ms
x
@-inf
((* (/ (sinh y) x) (sin x)) (/ (sinh y) x) (sinh y) y x (sin x) (/ (* (sin x) (sinh y)) x) (* (* 2 (sinh y)) 1/2) (* 2 (sinh y)) 2 1/2 (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (sinh y) (/ (* (sin x) (sinh y)) x) (* (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) y) (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) (* (+ (* (* y y) 1/6) 1) (sin x)) (+ (* (* y y) 1/6) 1) (* y y) 1/6 1)
4.0ms
x
@inf
((* (/ (sinh y) x) (sin x)) (/ (sinh y) x) (sinh y) y x (sin x) (/ (* (sin x) (sinh y)) x) (* (* 2 (sinh y)) 1/2) (* 2 (sinh y)) 2 1/2 (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (sinh y) (/ (* (sin x) (sinh y)) x) (* (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) y) (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) (* (+ (* (* y y) 1/6) 1) (sin x)) (+ (* (* y y) 1/6) 1) (* y y) 1/6 1)
4.0ms
y
@inf
((* (/ (sinh y) x) (sin x)) (/ (sinh y) x) (sinh y) y x (sin x) (/ (* (sin x) (sinh y)) x) (* (* 2 (sinh y)) 1/2) (* 2 (sinh y)) 2 1/2 (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (sinh y) (/ (* (sin x) (sinh y)) x) (* (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) y) (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) (* (+ (* (* y y) 1/6) 1) (sin x)) (+ (* (* y y) 1/6) 1) (* y y) 1/6 1)
3.0ms
x
@0
((* (/ (sinh y) x) (sin x)) (/ (sinh y) x) (sinh y) y x (sin x) (/ (* (sin x) (sinh y)) x) (* (* 2 (sinh y)) 1/2) (* 2 (sinh y)) 2 1/2 (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (sinh y) (/ (* (sin x) (sinh y)) x) (* (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) y) (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) (* (+ (* (* y y) 1/6) 1) (sin x)) (+ (* (* y y) 1/6) 1) (* y y) 1/6 1)

rewrite184.0ms (7.8%)

Memory
12.8MiB live, 203.5MiB allocated; 17ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03612543
03892385
119562362
087042270
Stop Event
iter-limit
node-limit
iter-limit
Counts
122 → 216
Calls
Call 1
Inputs
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
(/.f64 (sinh.f64 y) x)
(sinh.f64 y)
y
x
(sin.f64 x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))
(*.f64 #s(literal 2 binary64) (sinh.f64 y))
#s(literal 2 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
(*.f64 (/.f64 (sin.f64 x) x) y)
(/.f64 (sin.f64 x) x)
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) y)) x)
(*.f64 (sin.f64 x) #s(approx (sinh y) y))
#s(approx (sinh y) y)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) x) y))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) x) y)
(/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) x)
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(*.f64 y y)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))))
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))))
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))))
#s(approx (/ (sinh y) x) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))))
#s(approx x #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))))
#s(approx (* (/ (sin x) x) y) #s(hole binary64 y))
#s(approx (* (/ (sin x) x) y) #s(hole binary64 (+ y (* -1/6 (* (pow x 2) y)))))
#s(approx (* (/ (sin x) x) y) #s(hole binary64 (+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y)))))))
#s(approx (* (/ (sin x) x) y) #s(hole binary64 (+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y))))))))
#s(approx (/ (sin x) x) #s(hole binary64 1))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* 1/2 (* x (- (exp y) (/ 1 (exp y)))))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))))))
#s(approx (* (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2))))))
#s(approx (* (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) y) #s(hole binary64 (+ (* -1/6 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2)))))) (* y (+ 1 (* 1/6 (pow y 2)))))))
#s(approx (* (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) y) #s(hole binary64 (+ (* y (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* 1/6 (pow y 2))))) (* 1/120 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2)))))))))))
#s(approx (* (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) y) #s(hole binary64 (+ (* y (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* 1/6 (pow y 2))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2)))))) (* 1/120 (* y (+ 1 (* 1/6 (pow y 2))))))))))))
#s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) #s(hole binary64 (+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2))))))
#s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) #s(hole binary64 (+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (* 1/120 (* (pow x 2) (+ 1 (* 1/6 (pow y 2)))))))))))
#s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) #s(hole binary64 (+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/120 (+ 1 (* 1/6 (pow y 2))))))))))))
#s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) #s(hole binary64 (* x (+ 1 (* 1/6 (pow y 2))))))
#s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) #s(hole binary64 (* x (+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2)))))))
#s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) #s(hole binary64 (* x (+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (* 1/120 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))))))))))
#s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) #s(hole binary64 (* x (+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/120 (+ 1 (* 1/6 (pow y 2)))))))))))))
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))))
#s(approx (* (/ (sin x) x) y) #s(hole binary64 (/ (* y (sin x)) x)))
#s(approx (/ (sin x) x) #s(hole binary64 (/ (sin x) x)))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))))
#s(approx (* (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) y) #s(hole binary64 (/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x)))
#s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) #s(hole binary64 (/ (* (sin x) (+ 1 (* 1/6 (pow y 2)))) x)))
#s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) #s(hole binary64 (* (sin x) (+ 1 (* 1/6 (pow y 2))))))
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (/ (* y (sin x)) x)))
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))))
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))))
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x)))))
#s(approx (/ (sinh y) x) #s(hole binary64 (/ y x)))
#s(approx (/ (sinh y) x) #s(hole binary64 (* y (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x)))))
#s(approx (/ (sinh y) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))))
#s(approx (/ (sinh y) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))))
#s(approx (sinh y) #s(hole binary64 y))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2))))))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))))
#s(approx y #s(hole binary64 y))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (/ (* y (sin x)) x)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x)))))
#s(approx (* (* 2 (sinh y)) 1/2) #s(hole binary64 y))
#s(approx (* (* 2 (sinh y)) 1/2) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2))))))
#s(approx (* (* 2 (sinh y)) 1/2) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))
#s(approx (* (* 2 (sinh y)) 1/2) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))))
#s(approx (* 2 (sinh y)) #s(hole binary64 (* 2 y)))
#s(approx (* 2 (sinh y)) #s(hole binary64 (* y (+ 2 (* 1/3 (pow y 2))))))
#s(approx (* 2 (sinh y)) #s(hole binary64 (* y (+ 2 (* (pow y 2) (+ 1/3 (* 1/60 (pow y 2))))))))
#s(approx (* 2 (sinh y)) #s(hole binary64 (* y (+ 2 (* (pow y 2) (+ 1/3 (* (pow y 2) (+ 1/60 (* 1/2520 (pow y 2))))))))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* y (sin x))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))))))
#s(approx (* (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) y) #s(hole binary64 (/ (* y (sin x)) x)))
#s(approx (* (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) y) #s(hole binary64 (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))))
#s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) #s(hole binary64 (/ (sin x) x)))
#s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) #s(hole binary64 (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))))
#s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) #s(hole binary64 (sin x)))
#s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) #s(hole binary64 (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (sinh y) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
#s(approx (* (* 2 (sinh y)) 1/2) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
#s(approx (* 2 (sinh y)) #s(hole binary64 (- (exp y) (/ 1 (exp y)))))
#s(approx (* (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) y) #s(hole binary64 (* 1/6 (/ (* (pow y 3) (sin x)) x))))
#s(approx (* (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) y) #s(hole binary64 (* (pow y 3) (+ (* 1/6 (/ (sin x) x)) (/ (sin x) (* x (pow y 2)))))))
#s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) #s(hole binary64 (* 1/6 (/ (* (pow y 2) (sin x)) x))))
#s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) #s(hole binary64 (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (/ (sin x) (* x (pow y 2)))))))
#s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) #s(hole binary64 (* 1/6 (* (pow y 2) (sin x)))))
#s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) #s(hole binary64 (* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (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 (* (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) y) #s(hole binary64 (* -1 (* (pow y 3) (+ (* -1 (/ (sin x) (* x (pow y 2)))) (* -1/6 (/ (sin x) x)))))))
Outputs
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) (neg.f64 x))
(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x)
(/.f64 (neg.f64 (sinh.f64 (neg.f64 y))) (neg.f64 (neg.f64 x)))
(/.f64 (sinh.f64 (neg.f64 y)) (neg.f64 x))
(/.f64 (sinh.f64 y) x)
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 2 binary64))
(sinh.f64 y)
(-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64)))
(+.f64 (/.f64 (sinh.f64 y) #s(literal 2 binary64)) (/.f64 (sinh.f64 y) #s(literal 2 binary64)))
y
x
(sin.f64 x)
#s(approx (* (/ (sinh y) x) (sin x)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 y) #s(literal 1/2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 y y) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (sinh.f64 y))
(*.f64 (sinh.f64 y) #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 (sinh.f64 y) #s(literal 3 binary64)) (pow.f64 (sinh.f64 y) #s(literal 3 binary64))) (fma.f64 (sinh.f64 y) (sinh.f64 y) (-.f64 (*.f64 (sinh.f64 y) (sinh.f64 y)) (*.f64 (sinh.f64 y) (sinh.f64 y)))))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 y) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal -2 binary64)))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64)))) (neg.f64 (fma.f64 (exp.f64 y) (exp.f64 y) (+.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) (exp.f64 (+.f64 y (neg.f64 y)))))))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) #s(literal 4 binary64))
(/.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))
(/.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64))) (fma.f64 (exp.f64 y) (exp.f64 y) (+.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) (exp.f64 (+.f64 y (neg.f64 y))))))
(-.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) (/.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 y))))
(-.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (fma.f64 (exp.f64 y) (exp.f64 y) (+.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) (exp.f64 (+.f64 y (neg.f64 y)))))) (/.f64 (pow.f64 (exp.f64 y) #s(literal -3 binary64)) (fma.f64 (exp.f64 y) (exp.f64 y) (+.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) (exp.f64 (+.f64 y (neg.f64 y)))))))
(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))
(+.f64 (sinh.f64 y) (sinh.f64 y))
#s(literal 2 binary64)
#s(literal 1/2 binary64)
#s(approx (* (/ (sinh y) x) (sin x)) (*.f64 (/.f64 (sin.f64 x) x) y))
(*.f64 (/.f64 (sin.f64 x) x) y)
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 x) y))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) y)) (neg.f64 x))
(/.f64 (*.f64 (sin.f64 x) y) x)
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 x))
(/.f64 (sin.f64 x) x)
(*.f64 (sin.f64 x) (/.f64 #s(approx (sinh y) y) x))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(approx (sinh y) y) (sin.f64 x)))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 #s(approx (sinh y) y) (sin.f64 x))) (neg.f64 x))
(/.f64 (*.f64 #s(approx (sinh y) y) (sin.f64 x)) x)
(*.f64 #s(approx (sinh y) y) (sin.f64 x))
(*.f64 (sin.f64 x) #s(approx (sinh y) y))
#s(approx (sinh y) y)
#s(approx (* (/ (sinh y) x) (sin x)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y))
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y)
(*.f64 y (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (sin.f64 x) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 (*.f64 (sin.f64 x) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) (neg.f64 x))
(/.f64 (*.f64 (*.f64 (sin.f64 x) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) x)
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)))) (neg.f64 (neg.f64 x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 (sin.f64 x))) (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (neg.f64 x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64))) (neg.f64 (sin.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) (neg.f64 x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64))) (sin.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) x))
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal 1 binary64)) (neg.f64 (sin.f64 x))) (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (neg.f64 x)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal 1 binary64)) (sin.f64 x)) (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x))
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#s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (+.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 x x)) #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x))
#s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (+.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 x x)) #s(literal 1/120 binary64) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #s(literal -1/6 binary64))) (*.f64 x x))) x))
#s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (+.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 x x)) #s(literal -1/5040 binary64) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #s(literal -1/6 binary64))) (*.f64 x x))) x))
#s(approx (* (/ (sinh y) x) (sin x)) (*.f64 (*.f64 (sin.f64 x) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) x)) #s(literal 1/2 binary64)))
#s(approx (sin x) (sin.f64 x))
#s(approx (* (/ (sinh y) x) (sin x)) (*.f64 (*.f64 (sin.f64 x) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) x)) #s(literal 1/2 binary64)))
#s(approx (* (/ (sin x) x) y) (*.f64 (/.f64 (sin.f64 x) x) y))
#s(approx (/ (sin x) x) (/.f64 (sin.f64 x) x))
#s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))
#s(approx (* (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) y) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y))
#s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)))
#s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)))
#s(approx (* (/ (sinh y) x) (sin x)) (*.f64 (/.f64 (sin.f64 x) x) y))
#s(approx (* (/ (sinh y) x) (sin x)) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) (sin.f64 x)) #s(literal 1/6 binary64) (sin.f64 x)) x) y))
#s(approx (* (/ (sinh y) x) (sin x)) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (sin.f64 x) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) x) (*.f64 y y) (/.f64 (sin.f64 x) x)) y))
#s(approx (* (/ (sinh y) x) (sin x)) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 y y)) (sin.f64 x) (*.f64 #s(literal 1/120 binary64) (sin.f64 x))) x) (*.f64 y y) (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/6 binary64))) (*.f64 y y) (/.f64 (sin.f64 x) x)) y))
#s(approx (/ (sinh y) x) (/.f64 y x))
#s(approx (/ (sinh y) x) (*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) y))
#s(approx (/ (sinh y) x) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) x) (*.f64 y y) (pow.f64 x #s(literal -1 binary64))) y))
#s(approx (/ (sinh y) x) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) x) (*.f64 y y) (/.f64 #s(literal 1/6 binary64) x)) (*.f64 y y) (pow.f64 x #s(literal -1 binary64))) y))
#s(approx (sinh y) y)
#s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))
#s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))
#s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))
#s(approx y y)
#s(approx (* (/ (sinh y) x) (sin x)) (*.f64 (/.f64 (sin.f64 x) x) y))
#s(approx (* (/ (sinh y) x) (sin x)) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) (sin.f64 x)) #s(literal 1/6 binary64) (sin.f64 x)) x) y))
#s(approx (* (/ (sinh y) x) (sin x)) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (sin.f64 x) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) x) (*.f64 y y) (/.f64 (sin.f64 x) x)) y))
#s(approx (* (/ (sinh y) x) (sin x)) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 y y)) (sin.f64 x) (*.f64 #s(literal 1/120 binary64) (sin.f64 x))) x) (*.f64 y y) (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/6 binary64))) (*.f64 y y) (/.f64 (sin.f64 x) x)) y))
#s(approx (* (* 2 (sinh y)) 1/2) y)
#s(approx (* (* 2 (sinh y)) 1/2) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))
#s(approx (* (* 2 (sinh y)) 1/2) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))
#s(approx (* (* 2 (sinh y)) 1/2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))
#s(approx (* 2 (sinh y)) (*.f64 #s(literal 2 binary64) y))
#s(approx (* 2 (sinh y)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y))
#s(approx (* 2 (sinh y)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y))
#s(approx (* 2 (sinh y)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y))
#s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y))
#s(approx (* (sin x) (sinh y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) (sin.f64 x)) #s(literal 1/6 binary64) (sin.f64 x)) y))
#s(approx (* (sin x) (sinh y)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (sin.f64 x) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) (*.f64 y y) (sin.f64 x)) y))
#s(approx (* (sin x) (sinh y)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 y y)) (sin.f64 x) (*.f64 #s(literal 1/120 binary64) (sin.f64 x))) (*.f64 y y) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) (*.f64 y y) (sin.f64 x)) y))
#s(approx (* (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) y) (*.f64 (/.f64 (sin.f64 x) x) y))
#s(approx (* (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) y) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) (sin.f64 x)) #s(literal 1/6 binary64) (sin.f64 x)) x) y))
#s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) (/.f64 (sin.f64 x) x))
#s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) (/.f64 (fma.f64 (*.f64 (*.f64 y y) (sin.f64 x)) #s(literal 1/6 binary64) (sin.f64 x)) x))
#s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (sin.f64 x))
#s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (fma.f64 (*.f64 (*.f64 y y) (sin.f64 x)) #s(literal 1/6 binary64) (sin.f64 x)))
#s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64))
#s(approx (+ (* (* y y) 1/6) 1) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
#s(approx (* y y) (*.f64 y y))
#s(approx (sinh y) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))
#s(approx (* (* 2 (sinh y)) 1/2) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))
#s(approx (* 2 (sinh y)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))
#s(approx (* (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) y) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (sin.f64 x) x)) #s(literal 1/6 binary64)))
#s(approx (* (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) y) (*.f64 (fma.f64 (/.f64 (sin.f64 x) x) #s(literal 1/6 binary64) (/.f64 (/.f64 (sin.f64 x) x) (*.f64 y y))) (pow.f64 y #s(literal 3 binary64))))
#s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) (*.f64 (*.f64 (*.f64 y y) (/.f64 (sin.f64 x) x)) #s(literal 1/6 binary64)))
#s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) (*.f64 (fma.f64 (/.f64 (sin.f64 x) x) #s(literal 1/6 binary64) (/.f64 (/.f64 (sin.f64 x) x) (*.f64 y y))) (*.f64 y y)))
#s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)))
#s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 y y))) (*.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 (* (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) y) (neg.f64 (*.f64 (fma.f64 (/.f64 (sin.f64 x) x) #s(literal -1/6 binary64) (neg.f64 (/.f64 (/.f64 (sin.f64 x) x) (*.f64 y y)))) (pow.f64 y #s(literal 3 binary64)))))

eval54.0ms (2.3%)

Memory
7.0MiB live, 53.4MiB allocated; 2ms collecting garbage
Compiler

Compiled 5 738 to 1 016 computations (82.3% saved)

prune8.0ms (0.3%)

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

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New2143217
Fresh000
Picked145
Done011
Total2158223
Accuracy
100.0%
Counts
223 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.5%
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
43.0%
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) y)) x)
22.2%
(/.f64 (*.f64 #s(approx (sin x) x) #s(approx (sinh y) y)) x)
66.8%
(*.f64 (sin.f64 x) (/.f64 #s(approx (sinh y) y) x))
86.5%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) x) y))
54.4%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
64.2%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))
27.8%
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) y))
Compiler

Compiled 101 to 75 computations (25.7% saved)

series27.0ms (1.1%)

Memory
-23.8MiB live, 22.9MiB allocated; 4ms collecting garbage
Counts
11 → 49
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) y))
#s(approx (* (/ (sin x) x) y) y)
y
(*.f64 (sin.f64 x) (/.f64 #s(approx (sinh y) y) x))
(sin.f64 x)
x
(/.f64 #s(approx (sinh y) y) x)
#s(approx (sinh y) y)
(/.f64 (*.f64 #s(approx (sin x) x) #s(approx (sinh y) y)) x)
(*.f64 #s(approx (sin x) x) #s(approx (sinh y) y))
#s(approx (sin x) x)
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))))
#s(approx (* (/ (sin x) x) y) #s(hole binary64 y))
#s(approx (* (/ (sin x) x) y) #s(hole binary64 (+ y (* -1/6 (* (pow x 2) y)))))
#s(approx (* (/ (sin x) x) y) #s(hole binary64 (+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y)))))))
#s(approx (* (/ (sin x) x) y) #s(hole binary64 (+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y))))))))
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))))
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))))
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))))
#s(approx (sin x) #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 (/ (sinh y) x) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* 1/2 (* x (- (exp y) (/ 1 (exp y)))))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))))
#s(approx (* (/ (sin x) x) y) #s(hole binary64 (/ (* y (sin x)) x)))
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (/ (* y (sin x)) x)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x)))))
#s(approx y #s(hole binary64 y))
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (/ (* y (sin x)) x)))
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))))
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))))
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x)))))
#s(approx (/ (sinh y) x) #s(hole binary64 (/ y x)))
#s(approx (/ (sinh y) x) #s(hole binary64 (* y (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x)))))
#s(approx (/ (sinh y) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))))
#s(approx (/ (sinh y) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))))
#s(approx (sinh y) #s(hole binary64 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) (sinh y)) #s(hole binary64 (* y (sin x))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))))))
#s(approx (sinh y) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
Calls

6 calls:

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

rewrite196.0ms (8.3%)

Memory
-17.1MiB live, 270.0MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02111267
02171226
111731138
081621078
Stop Event
iter-limit
node-limit
iter-limit
Counts
60 → 73
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) y))
#s(approx (* (/ (sin x) x) y) y)
y
(*.f64 (sin.f64 x) (/.f64 #s(approx (sinh y) y) x))
(sin.f64 x)
x
(/.f64 #s(approx (sinh y) y) x)
#s(approx (sinh y) y)
(/.f64 (*.f64 #s(approx (sin x) x) #s(approx (sinh y) y)) x)
(*.f64 #s(approx (sin x) x) #s(approx (sinh y) y))
#s(approx (sin x) x)
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))))
#s(approx (* (/ (sin x) x) y) #s(hole binary64 y))
#s(approx (* (/ (sin x) x) y) #s(hole binary64 (+ y (* -1/6 (* (pow x 2) y)))))
#s(approx (* (/ (sin x) x) y) #s(hole binary64 (+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y)))))))
#s(approx (* (/ (sin x) x) y) #s(hole binary64 (+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y))))))))
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))))
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))))
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))))
#s(approx (sin x) #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 (/ (sinh y) x) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* 1/2 (* x (- (exp y) (/ 1 (exp y)))))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))))
#s(approx (* (/ (sin x) x) y) #s(hole binary64 (/ (* y (sin x)) x)))
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (/ (* y (sin x)) x)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x)))))
#s(approx y #s(hole binary64 y))
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (/ (* y (sin x)) x)))
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))))
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))))
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x)))))
#s(approx (/ (sinh y) x) #s(hole binary64 (/ y x)))
#s(approx (/ (sinh y) x) #s(hole binary64 (* y (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x)))))
#s(approx (/ (sinh y) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))))
#s(approx (/ (sinh y) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))))
#s(approx (sinh y) #s(hole binary64 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) (sinh y)) #s(hole binary64 (* y (sin x))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))))))
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))))))
#s(approx (sinh y) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
Outputs
#s(approx (* (sin x) (/ (sinh y) x)) #s(approx (* (/ (sin x) x) y) y))
#s(approx (* (/ (sin x) x) y) y)
y
(*.f64 (/.f64 #s(approx (sinh y) y) x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 #s(approx (sinh y) y) x))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) y))) (neg.f64 x))
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) y)) x)
(sin.f64 x)
x
(/.f64 (neg.f64 (neg.f64 #s(approx (sinh y) y))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 #s(approx (sinh y) y)) (neg.f64 x))
(/.f64 #s(approx (sinh y) y) x)
(neg.f64 (/.f64 (neg.f64 #s(approx (sinh y) y)) x))
(neg.f64 (/.f64 #s(approx (sinh y) y) (neg.f64 x)))
#s(approx (sinh y) y)
(*.f64 #s(approx (sin x) x) (/.f64 #s(approx (sinh y) y) x))
(/.f64 (neg.f64 (*.f64 (neg.f64 #s(approx (sin x) x)) #s(approx (sinh y) y))) (neg.f64 (neg.f64 x)))
(/.f64 (*.f64 (neg.f64 #s(approx (sin x) x)) #s(approx (sinh y) y)) (neg.f64 x))
(/.f64 (*.f64 #s(approx (sin x) x) #s(approx (sinh y) y)) x)
(neg.f64 (/.f64 (*.f64 (neg.f64 #s(approx (sin x) x)) #s(approx (sinh y) y)) x))
(neg.f64 (/.f64 (*.f64 #s(approx (sin x) x) #s(approx (sinh y) y)) (neg.f64 x)))
(*.f64 #s(approx (sin x) x) #s(approx (sinh y) y))
(*.f64 #s(approx (sinh y) y) #s(approx (sin x) x))
#s(approx (sin x) x)
#s(approx (* (sin x) (/ (sinh y) x)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))
#s(approx (* (sin x) (/ (sinh y) x)) (fma.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))))
#s(approx (* (sin x) (/ (sinh y) x)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 #s(literal -1/12 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))))
#s(approx (* (sin x) (/ (sinh y) x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/10080 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 #s(literal 1/240 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) (*.f64 x x) (*.f64 #s(literal -1/12 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))))
#s(approx (* (/ (sin x) x) y) y)
#s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 (*.f64 x x) y) #s(literal -1/6 binary64) y))
#s(approx (* (/ (sin x) x) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) y) (*.f64 #s(literal -1/6 binary64) y)) (*.f64 x x) y))
#s(approx (* (/ (sin x) x) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 x x) y) (*.f64 #s(literal 1/120 binary64) y)) (*.f64 x x) (*.f64 #s(literal -1/6 binary64) y)) (*.f64 x x) y))
#s(approx (* (sin x) (/ (sinh y) x)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))
#s(approx (* (sin x) (/ (sinh y) x)) (fma.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))))
#s(approx (* (sin x) (/ (sinh y) x)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 #s(literal -1/12 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))))
#s(approx (* (sin x) (/ (sinh y) x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/10080 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 #s(literal 1/240 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) (*.f64 x x) (*.f64 #s(literal -1/12 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))))
#s(approx (sin x) x)
#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 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (*.f64 (fma.f64 (fma.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 (/ (sinh y) x) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) x) #s(literal 1/2 binary64)))
#s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) x) #s(literal 1/2 binary64)))
#s(approx (* (sin x) (sinh y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))) x))
#s(approx (* (sin x) (sinh y)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 #s(literal -1/12 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))) x))
#s(approx (* (sin x) (sinh y)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/10080 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 #s(literal 1/240 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) (*.f64 x x) (*.f64 #s(literal -1/12 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))) x))
#s(approx (* (sin x) (/ (sinh y) x)) (*.f64 (*.f64 (sin.f64 x) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) x)) #s(literal 1/2 binary64)))
#s(approx (* (/ (sin x) x) y) (*.f64 (/.f64 (sin.f64 x) x) y))
#s(approx (* (sin x) (/ (sinh y) x)) (*.f64 (*.f64 (sin.f64 x) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) x)) #s(literal 1/2 binary64)))
#s(approx (sin x) (sin.f64 x))
#s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))
#s(approx (* (sin x) (/ (sinh y) x)) (*.f64 (/.f64 (sin.f64 x) x) y))
#s(approx (* (sin x) (/ (sinh y) x)) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x) (sin.f64 x)) x) y))
#s(approx (* (sin x) (/ (sinh y) x)) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (sin.f64 x) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) x) (*.f64 y y) (/.f64 (sin.f64 x) x)) y))
#s(approx (* (sin x) (/ (sinh y) x)) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 y y)) (sin.f64 x) (*.f64 #s(literal 1/120 binary64) (sin.f64 x))) x) (*.f64 y y) (*.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) x))) (*.f64 y y) (/.f64 (sin.f64 x) x)) y))
#s(approx y y)
#s(approx (* (sin x) (/ (sinh y) x)) (*.f64 (/.f64 (sin.f64 x) x) y))
#s(approx (* (sin x) (/ (sinh y) x)) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x) (sin.f64 x)) x) y))
#s(approx (* (sin x) (/ (sinh y) x)) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (sin.f64 x) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) x) (*.f64 y y) (/.f64 (sin.f64 x) x)) y))
#s(approx (* (sin x) (/ (sinh y) x)) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 y y)) (sin.f64 x) (*.f64 #s(literal 1/120 binary64) (sin.f64 x))) x) (*.f64 y y) (*.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) x))) (*.f64 y y) (/.f64 (sin.f64 x) x)) y))
#s(approx (/ (sinh y) x) (/.f64 y x))
#s(approx (/ (sinh y) x) (*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) y))
#s(approx (/ (sinh y) x) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) x) (*.f64 y y) (pow.f64 x #s(literal -1 binary64))) y))
#s(approx (/ (sinh y) x) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) x) (*.f64 y y) (/.f64 #s(literal 1/6 binary64) x)) (*.f64 y y) (pow.f64 x #s(literal -1 binary64))) y))
#s(approx (sinh y) y)
#s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))
#s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))
#s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))
#s(approx (* (sin x) (sinh y)) (*.f64 y (sin.f64 x)))
#s(approx (* (sin x) (sinh y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x) (sin.f64 x)) y))
#s(approx (* (sin x) (sinh y)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (sin.f64 x) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) (*.f64 y y) (sin.f64 x)) y))
#s(approx (* (sin x) (sinh y)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 y y)) (sin.f64 x) (*.f64 #s(literal 1/120 binary64) (sin.f64 x))) (*.f64 y y) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) (*.f64 y y) (sin.f64 x)) y))
#s(approx (sinh y) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))

eval6.0ms (0.3%)

Memory
12.3MiB live, 12.3MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 186 to 242 computations (79.6% saved)

prune4.0ms (0.2%)

Memory
8.5MiB live, 8.5MiB allocated; 0ms collecting garbage
Pruning

9 alts after pruning (1 fresh and 8 done)

PrunedKeptTotal
New58159
Fresh000
Picked033
Done055
Total58967
Accuracy
100.0%
Counts
67 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.5%
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
43.0%
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) y)) x)
22.2%
(/.f64 (*.f64 #s(approx (sin x) x) #s(approx (sinh y) y)) x)
66.8%
(*.f64 (sin.f64 x) (/.f64 #s(approx (sinh y) y) x))
51.6%
(*.f64 #s(approx (sin x) x) (/.f64 #s(approx (sinh y) y) x))
86.5%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) x) y))
54.4%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
64.2%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))
27.8%
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) y))
Compiler

Compiled 112 to 83 computations (25.9% saved)

series7.0ms (0.3%)

Memory
14.3MiB live, 14.3MiB allocated; 0ms collecting garbage
Counts
6 → 26
Calls
Call 1
Inputs
(*.f64 #s(approx (sin x) x) (/.f64 #s(approx (sinh y) y) x))
#s(approx (sin x) x)
x
(/.f64 #s(approx (sinh y) y) x)
#s(approx (sinh y) y)
y
Outputs
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))))
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))))
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))))
#s(approx (sin x) #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 (/ (sinh y) x) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))))
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (/ (* y (sin x)) x)))
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))))
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))))
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x)))))
#s(approx (/ (sinh y) x) #s(hole binary64 (/ y x)))
#s(approx (/ (sinh y) x) #s(hole binary64 (* y (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x)))))
#s(approx (/ (sinh y) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))))
#s(approx (/ (sinh y) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))))
#s(approx (sinh y) #s(hole binary64 y))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2))))))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))))
#s(approx y #s(hole binary64 y))
#s(approx (sinh y) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
Calls

6 calls:

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

rewrite179.0ms (7.6%)

Memory
3.0MiB live, 231.2MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0143570
0145551
1834497
08084467
Stop Event
iter-limit
node-limit
iter-limit
Counts
32 → 41
Calls
Call 1
Inputs
(*.f64 #s(approx (sin x) x) (/.f64 #s(approx (sinh y) y) x))
#s(approx (sin x) x)
x
(/.f64 #s(approx (sinh y) y) x)
#s(approx (sinh y) y)
y
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))))
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))))
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))))
#s(approx (sin x) #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 (/ (sinh y) x) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))))
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (/ (* y (sin x)) x)))
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))))
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))))
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x)))))
#s(approx (/ (sinh y) x) #s(hole binary64 (/ y x)))
#s(approx (/ (sinh y) x) #s(hole binary64 (* y (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x)))))
#s(approx (/ (sinh y) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))))
#s(approx (/ (sinh y) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))))
#s(approx (sinh y) #s(hole binary64 y))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2))))))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))))
#s(approx y #s(hole binary64 y))
#s(approx (sinh y) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
Outputs
(*.f64 (/.f64 #s(approx (sinh y) y) x) #s(approx (sin x) x))
(*.f64 #s(approx (sin x) x) (/.f64 #s(approx (sinh y) y) x))
(/.f64 (*.f64 (neg.f64 #s(approx (sinh y) y)) #s(approx (sin x) x)) (neg.f64 x))
(/.f64 (*.f64 #s(approx (sin x) x) (neg.f64 #s(approx (sinh y) y))) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 #s(approx (sinh y) y) #s(approx (sin x) x))) (neg.f64 x))
(/.f64 (*.f64 #s(approx (sinh y) y) #s(approx (sin x) x)) x)
#s(approx (sin x) x)
x
(/.f64 (neg.f64 (neg.f64 #s(approx (sinh y) y))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 #s(approx (sinh y) y)) (neg.f64 x))
(/.f64 #s(approx (sinh y) y) x)
(neg.f64 (/.f64 (neg.f64 #s(approx (sinh y) y)) x))
(neg.f64 (/.f64 #s(approx (sinh y) y) (neg.f64 x)))
#s(approx (sinh y) y)
y
#s(approx (* (sin x) (/ (sinh y) x)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))
#s(approx (* (sin x) (/ (sinh y) x)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
#s(approx (* (sin x) (/ (sinh y) x)) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal -1/12 binary64))) (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))))
#s(approx (* (sin x) (/ (sinh y) x)) (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (fma.f64 #s(literal -1/10080 binary64) (*.f64 x x) #s(literal 1/240 binary64))) (*.f64 x x)) (*.f64 x x))))
#s(approx (sin x) 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 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (*.f64 (fma.f64 (fma.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 (/ (sinh y) x) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) x) #s(literal 1/2 binary64)))
#s(approx (* (sin x) (/ (sinh y) x)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) x)))
#s(approx (sin x) (sin.f64 x))
#s(approx (* (sin x) (/ (sinh y) x)) (*.f64 (/.f64 (sin.f64 x) x) y))
#s(approx (* (sin x) (/ (sinh y) x)) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y (sin.f64 x)) y) #s(literal 1/6 binary64) (sin.f64 x)) x) y))
#s(approx (* (sin x) (/ (sinh y) x)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (*.f64 y (sin.f64 x)) y) #s(literal 1/120 binary64))) x) (*.f64 y y) (/.f64 (sin.f64 x) x)) y))
#s(approx (* (sin x) (/ (sinh y) x)) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/120 binary64) (sin.f64 x) (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 y (sin.f64 x)) y))) x) (*.f64 y y) (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/6 binary64))) (*.f64 y y) (/.f64 (sin.f64 x) x)) y))
#s(approx (/ (sinh y) x) (/.f64 y x))
#s(approx (/ (sinh y) x) (*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) y))
#s(approx (/ (sinh y) x) (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) x) (/.f64 y x)))
#s(approx (/ (sinh y) x) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) x) (*.f64 y y) (/.f64 #s(literal 1/6 binary64) x)) (/.f64 y x)))
#s(approx (sinh y) y)
#s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))
#s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))
#s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))
#s(approx y y)
#s(approx (sinh y) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))

eval4.0ms (0.2%)

Memory
6.7MiB live, 6.7MiB allocated; 0ms collecting garbage
Compiler

Compiled 661 to 158 computations (76.1% saved)

prune4.0ms (0.2%)

Memory
7.4MiB live, 7.4MiB allocated; 0ms collecting garbage
Pruning

9 alts after pruning (0 fresh and 9 done)

PrunedKeptTotal
New34034
Fresh000
Picked011
Done088
Total34943
Accuracy
100.0%
Counts
43 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.5%
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
43.0%
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) y)) x)
22.2%
(/.f64 (*.f64 #s(approx (sin x) x) #s(approx (sinh y) y)) x)
66.8%
(*.f64 (sin.f64 x) (/.f64 #s(approx (sinh y) y) x))
51.6%
(*.f64 #s(approx (sin x) x) (/.f64 #s(approx (sinh y) y) x))
86.5%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) x) y))
54.4%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
64.2%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))
27.8%
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) y))
Compiler

Compiled 231 to 124 computations (46.3% saved)

regimes18.0ms (0.8%)

Memory
-25.4MiB live, 21.1MiB allocated; 5ms collecting garbage
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) y))
(*.f64 #s(approx (sin x) x) (/.f64 #s(approx (sinh y) y) x))
(/.f64 (*.f64 #s(approx (sin x) x) #s(approx (sinh y) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
(*.f64 (sin.f64 x) (/.f64 #s(approx (sinh y) y) x))
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) y)) x)
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) x) y))
Outputs
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
Calls

4 calls:

9.0ms
y
3.0ms
x
3.0ms
(sinh.f64 y)
3.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
99.9%1(sinh.f64 y)
99.9%1(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
99.9%1x
99.9%1y
Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes10.0ms (0.4%)

Memory
18.0MiB live, 18.0MiB allocated; 0ms collecting garbage
Counts
7 → 3
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) y))
(*.f64 #s(approx (sin x) x) (/.f64 #s(approx (sinh y) y) x))
(/.f64 (*.f64 #s(approx (sin x) x) #s(approx (sinh y) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
(*.f64 (sin.f64 x) (/.f64 #s(approx (sinh y) y) x))
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) y)) x)
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))
Calls

4 calls:

3.0ms
y
3.0ms
x
2.0ms
(sinh.f64 y)
2.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
90.7%3(sinh.f64 y)
90.7%3(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
79.3%2x
90.7%3y
Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes13.0ms (0.6%)

Memory
-33.5MiB live, 14.2MiB allocated; 2ms collecting garbage
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) y))
(*.f64 #s(approx (sin x) x) (/.f64 #s(approx (sinh y) y) x))
(/.f64 (*.f64 #s(approx (sin x) x) #s(approx (sinh y) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))
(*.f64 #s(approx (sin x) x) (/.f64 #s(approx (sinh y) y) x))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))
Calls

4 calls:

8.0ms
x
2.0ms
y
2.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
2.0ms
(sinh.f64 y)
Results
AccuracySegmentsBranch
68.9%2x
75.5%3(sinh.f64 y)
75.5%3(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
75.5%3y
Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes6.0ms (0.3%)

Memory
12.7MiB live, 12.7MiB allocated; 0ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) y))
(*.f64 #s(approx (sin x) x) (/.f64 #s(approx (sinh y) y) x))
(/.f64 (*.f64 #s(approx (sin x) x) #s(approx (sinh y) y)) x)
Outputs
(*.f64 #s(approx (sin x) x) (/.f64 #s(approx (sinh y) y) x))
Calls

4 calls:

2.0ms
x
1.0ms
y
1.0ms
(sinh.f64 y)
1.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
51.6%1x
51.6%1(sinh.f64 y)
51.6%1y
51.6%1(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes4.0ms (0.2%)

Memory
9.0MiB live, 9.0MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

4 calls:

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

Compiled 11 to 13 computations (-18.2% saved)

bsearch64.0ms (2.7%)

Memory
-21.9MiB live, 33.4MiB allocated; 23ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
55.0ms
3.27726151892847e-6
24186.703111370298
7.0ms
-0.003300259296756652
-0.0018232370071143754
Samples
53.0ms224×0valid
Compiler

Compiled 402 to 347 computations (13.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-sin: 43.0ms (89.8% of total)
ival-sinh: 2.0ms (4.2% of total)
ival-mult!: 1.0ms (2.1% of total)
ival-div!: 1.0ms (2.1% of total)
adjust: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.9418289100284967e-289
1.3237445785736701e-278
0.0ms
-0.003300265287671897
-2.35425741145949e-9
Compiler

Compiled 10 to 11 computations (-10% saved)

derivations172.0ms (7.3%)

Memory
30.3MiB live, 173.5MiB allocated; 7ms collecting garbage
Stop Event
done
Compiler

Compiled 143 to 40 computations (72% saved)

preprocess40.0ms (1.7%)

Memory
0.8MiB live, 94.6MiB allocated; 10ms collecting garbage
Remove

(abs x)

Compiler

Compiled 586 to 234 computations (60.1% saved)

end0.0ms (0%)

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

Profiling

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