Linear.Quaternion:$csinh from linear-1.19.1.3

Time bar (total: 7.1s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze16.0ms (0.2%)

Memory
-18.1MiB live, 21.0MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
93.8%93.7%6.2%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
96.9%96.8%3.1%0.1%0%0%0%12
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.1s (15.3%)

Memory
35.9MiB live, 1 094.4MiB allocated
Samples
816.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 621.0ms
ival-sin: 259.0ms (41.7% of total)
ival-cosh: 213.0ms (34.3% of total)
ival-mult: 71.0ms (11.4% of total)
ival-div: 68.0ms (11% of total)
ival-true: 6.0ms (1% of total)
ival-assert: 4.0ms (0.6% of total)
Bogosity

explain118.0ms (1.7%)

Memory
5.6MiB live, 80.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(sin.f64 y)
00-0-y
00-0-(/.f64 (sin.f64 y) y)
00-0-(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
00-0-(cosh.f64 x)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
87.0ms512×0valid
Compiler

Compiled 45 to 22 computations (51.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-mult: 20.0ms (49.4% of total)
ival-sin: 11.0ms (27.2% of total)
ival-cosh: 5.0ms (12.4% of total)
ival-div: 4.0ms (9.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess165.0ms (2.3%)

Memory
-11.2MiB live, 114.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01841
15137
217037
348337
4198637
067
0107
1197
2407
31107
45057
535627
082127
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Outputs
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
Symmetry

(abs y)

(abs x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify164.0ms (2.3%)

Memory
28.4MiB live, 107.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 y)
cost-diff0
(/.f64 (sin.f64 y) y)
cost-diff0
(cosh.f64 x)
cost-diff0
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0617
01017
11917
24017
311017
450517
5356217
0821217
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(cosh.f64 x)
x
(/.f64 (sin.f64 y) y)
(sin.f64 y)
y
Outputs
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(cosh.f64 x)
x
(/.f64 (sin.f64 y) y)
(sin.f64 y)
y

localize57.0ms (0.8%)

Memory
-30.1MiB live, 8.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
accuracy0.0
(sin.f64 y)
accuracy0.0
(cosh.f64 x)
accuracy0.11328125
(/.f64 (sin.f64 y) y)
Samples
52.0ms256×0valid
Compiler

Compiled 19 to 8 computations (57.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-sin: 6.0ms (50.6% of total)
ival-cosh: 3.0ms (25.3% of total)
ival-div: 2.0ms (16.9% of total)
ival-mult: 2.0ms (16.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.2%)

Memory
4.1MiB live, 4.1MiB allocated
Counts
4 → 21
Calls
Call 1
Inputs
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(cosh.f64 x)
(/.f64 (sin.f64 y) y)
(sin.f64 y)
Outputs
(/ (sin y) y)
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
Calls

6 calls:

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

simplify187.0ms (2.6%)

Memory
-26.9MiB live, 124.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083332
1320302
21435282
37647278
08263252
Stop Event
iter limit
node limit
Counts
21 → 20
Calls
Call 1
Inputs
(/ (sin y) y)
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
Outputs
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 y) y))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))
(/.f64 (fma.f64 (*.f64 (sin.f64 y) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x x) (sin.f64 y)) y)
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sin.f64 y) (*.f64 (*.f64 (sin.f64 y) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (pow.f64 x #s(literal 4 binary64)))) y)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (sin.f64 y)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 y y) #s(literal -1/12 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (*.f64 y y) (fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
(fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (fma.f64 #s(literal -1/10080 binary64) (*.f64 y y) #s(literal 1/240 binary64)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(+ 1 (* -1/6 (pow y 2)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) y)
(sin y)
(sin.f64 y)

rewrite191.0ms (2.7%)

Memory
27.5MiB live, 184.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
01015
12315
29715
369515
0829715
Stop Event
iter limit
node limit
iter limit
Counts
4 → 188
Calls
Call 1
Inputs
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(cosh.f64 x)
(/.f64 (sin.f64 y) y)
(sin.f64 y)
Outputs
(*.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 y) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (neg.f64 (cosh.f64 x)) y))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (neg.f64 y)) (/.f64 (neg.f64 (sin.f64 y)) #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 (sin.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (cosh.f64 x) y))
(*.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) (/.f64 (sin.f64 y) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) (neg.f64 y)) (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) #s(literal 2 binary64)))
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (neg.f64 y)))
(*.f64 (/.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y))
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) #s(literal 2 binary64)) (/.f64 (cosh.f64 x) #s(literal 2 binary64)))
(*.f64 (neg.f64 (cosh.f64 x)) (/.f64 (sin.f64 y) (neg.f64 y)))
(*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (neg.f64 (cosh.f64 x)))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 (cosh.f64 x)) y))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) (/.f64 (/.f64 (sin.f64 y) #s(literal 2 binary64)) y)))
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y)))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 (/.f64 (sin.f64 y) #s(literal 2 binary64)) y))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(*.f64 (cosh.f64 x) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (sin.f64 y) #s(literal 2 binary64)) y)))
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (cosh.f64 x)) (/.f64 (/.f64 (sin.f64 y) #s(literal 2 binary64)) y)) #s(literal -2 binary64))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x))) (/.f64 (/.f64 (sin.f64 y) #s(literal 2 binary64)) y)) (*.f64 #s(literal -2 binary64) (sinh.f64 x)))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (/.f64 (/.f64 (sin.f64 y) #s(literal 2 binary64)) y)) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x))))))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) (/.f64 (/.f64 (sin.f64 y) #s(literal 2 binary64)) y)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (/.f64 (/.f64 (sin.f64 y) #s(literal 2 binary64)) y)) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (/.f64 (/.f64 (sin.f64 y) #s(literal 2 binary64)) y)) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)))))
(/.f64 (*.f64 (*.f64 (cosh.f64 x) (sinh.f64 x)) (/.f64 (sin.f64 y) y)) (sinh.f64 x))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) #s(literal 8 binary64))) (/.f64 (sin.f64 y) y)) (+.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64))))
(/.f64 (*.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (exp.f64 x))) (/.f64 (sin.f64 y) y)) #s(literal 4 binary64))
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (cosh.f64 x) (sinh.f64 x))) (sinh.f64 x))
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (+.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) #s(literal 8 binary64)))) (+.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64))))
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (fma.f64 (exp.f64 x) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (exp.f64 x)))) #s(literal 4 binary64))
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(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) (neg.f64 (exp.f64 x)))) (*.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64)))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x))) (*.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (exp.f64 x)))) #s(literal -4 binary64))
(/.f64 (fma.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (exp.f64 x)) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (exp.f64 x)) (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 (exp.f64 x) #s(literal 2 binary64))))
(/.f64 (fma.f64 (neg.f64 (exp.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 x)))) #s(literal -4 binary64))
(/.f64 (fma.f64 (exp.f64 x) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x)))) #s(literal -4 binary64))
(/.f64 (fma.f64 (exp.f64 x) (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (exp.f64 x) #s(literal 2 binary64))))
(/.f64 (*.f64 (cosh.f64 x) (sinh.f64 x)) (sinh.f64 x))
(/.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) #s(literal 8 binary64))) (+.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64))))
(/.f64 (*.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))) (sinh.f64 (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x))) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (neg.f64 (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)))) #s(literal 2 binary64))))
(/.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal 4 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)))) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(neg.f64 (neg.f64 (cosh.f64 x)))
(cosh.f64 (neg.f64 x))
(cosh.f64 x)
(-.f64 (+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 (sinh.f64 x) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (sinh.f64 x)) (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 4 binary64)) (sinh.f64 x)))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))))
(-.f64 (/.f64 (+.f64 (exp.f64 x) (cosh.f64 x)) #s(literal 2 binary64)) (/.f64 (sinh.f64 x) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (sinh.f64 x)) #s(literal 2 binary64)) (/.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (sinh.f64 x)) #s(literal 2 binary64)))
(-.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (-.f64 (/.f64 (sinh.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64))))
(-.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 (-.f64 (sinh.f64 x) (exp.f64 x)) #s(literal 2 binary64)))
(+.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 (sinh.f64 x) #s(literal 2 binary64)))
(+.f64 (+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 (sinh.f64 x) #s(literal -2 binary64)))
(+.f64 (/.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64)))) (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) #s(literal 8 binary64)) (+.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64)))))
(+.f64 (/.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)))) #s(literal 2 binary64))) (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)))) #s(literal 2 binary64))))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)))) #s(literal 2 binary64))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)))) #s(literal 2 binary64))))
(+.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (cosh.f64 x)) #s(literal 2 binary64)) (/.f64 (sinh.f64 x) #s(literal 2 binary64)))
(+.f64 (/.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
(+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
(+.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x))))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x))))) #s(literal 2 binary64)))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))))
(+.f64 (/.f64 (+.f64 (exp.f64 x) (cosh.f64 x)) #s(literal 2 binary64)) (/.f64 (sinh.f64 x) #s(literal -2 binary64)))
(+.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (+.f64 (/.f64 (sinh.f64 x) #s(literal -2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64))))
(+.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (+.f64 (/.f64 (sinh.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))
(+.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 (sinh.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)))
(+.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 (-.f64 (exp.f64 x) (sinh.f64 x)) #s(literal 2 binary64)))
(+.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 (cosh.f64 x) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 y))
(/.f64 (sin.f64 y) y)
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 y)))
(-.f64 (/.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)) (neg.f64 y)) (/.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) (neg.f64 y)))
(+.f64 (/.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64)) (neg.f64 y)) (/.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)) (neg.f64 y)))
(neg.f64 (neg.f64 (sin.f64 y)))
(fma.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64) (*.f64 (cos.f64 (+.f64 (PI.f64) y)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64) (*.f64 (cos.f64 y) #s(literal 0 binary64)))
(sin.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))
(sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (+.f64 (PI.f64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (neg.f64 (+.f64 (PI.f64) y)))
(sin.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64)))
(sin.f64 (+.f64 (neg.f64 y) (PI.f64)))
(sin.f64 y)
(-.f64 (*.f64 (cos.f64 (+.f64 (PI.f64) y)) #s(literal 0 binary64)) (*.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64)))
(-.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) (*.f64 (cos.f64 y) #s(literal 0 binary64)))
(-.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64)))
(cos.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64))))
(cos.f64 (neg.f64 (+.f64 (PI.f64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))))
(cos.f64 (neg.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)))
(cos.f64 (+.f64 (PI.f64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)))
(cos.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (neg.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64))) (neg.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64))))
(+.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) (*.f64 (cos.f64 (+.f64 (PI.f64) y)) #s(literal 0 binary64)))
(+.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) (*.f64 (cos.f64 y) #s(literal 0 binary64)))

eval62.0ms (0.9%)

Memory
-5.8MiB live, 32.6MiB allocated
Compiler

Compiled 4 041 to 712 computations (82.4% saved)

prune40.0ms (0.6%)

Memory
-24.1MiB live, 15.1MiB allocated
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New2017208
Fresh000
Picked101
Done000
Total2027209
Accuracy
100.0%
Counts
209 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
38.4%
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (cosh.f64 x) (sinh.f64 x))) (sinh.f64 x))
36.6%
(/.f64 (*.f64 (*.f64 (cosh.f64 x) (sinh.f64 x)) (sin.f64 y)) (*.f64 (sinh.f64 x) y))
99.8%
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
67.7%
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
68.6%
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
78.3%
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
49.4%
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y))
Compiler

Compiled 186 to 138 computations (25.8% saved)

simplify181.0ms (2.5%)

Memory
17.1MiB live, 138.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
cost-diff0
(cosh.f64 x)
cost-diff0
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
cost-diff0
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
cost-diff0
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
cost-diff0
(cosh.f64 x)
cost-diff0
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
cost-diff0
(sin.f64 y)
cost-diff0
(/.f64 (sin.f64 y) y)
cost-diff0
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y))
cost-diff0
(cosh.f64 x)
cost-diff0
(/.f64 (cosh.f64 x) y)
cost-diff0
(sin.f64 y)
cost-diff0
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030189
050189
191189
2219189
3554189
41371189
57028189
08078189
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(sin.f64 y)
y
(/.f64 (cosh.f64 x) y)
(cosh.f64 x)
x
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) y)
(sin.f64 y)
y
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(cosh.f64 x)
x
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
#s(literal -1/6 binary64)
(*.f64 y y)
y
#s(literal 1 binary64)
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 (sin.f64 y) y)
(sin.f64 y)
y
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(cosh.f64 x)
x
#s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/120 binary64) (*.f64 y y))
#s(literal 1/120 binary64)
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(literal 1 binary64)
Outputs
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(sin.f64 y)
y
(/.f64 (cosh.f64 x) y)
(cosh.f64 x)
x
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) y)
(sin.f64 y)
y
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (cosh.f64 x))
(cosh.f64 x)
x
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
#s(literal -1/6 binary64)
(*.f64 y y)
y
#s(literal 1 binary64)
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 (sin.f64 y) y)
(sin.f64 y)
y
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (cosh.f64 x))
(cosh.f64 x)
x
#s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/120 binary64) (*.f64 y y))
#s(literal 1/120 binary64)
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(literal 1 binary64)

localize127.0ms (1.8%)

Memory
9.4MiB live, 82.5MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.01171875
(-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))
accuracy0.045253759768442016
(fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
accuracy0.140625
(*.f64 #s(literal 1/120 binary64) (*.f64 y y))
accuracy27.205841192851864
#s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
accuracy0.0
(*.f64 x x)
accuracy0.0
(sin.f64 y)
accuracy0.11328125
(/.f64 (sin.f64 y) y)
accuracy13.700772499698171
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
accuracy0.0
(*.f64 y y)
accuracy0.0
(cosh.f64 x)
accuracy0.08984375
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
accuracy27.289782859599264
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
accuracy0.0
(sin.f64 y)
accuracy0.11328125
(/.f64 (sin.f64 y) y)
accuracy32.346580389301025
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y))
accuracy0.0
(/.f64 (cosh.f64 x) y)
accuracy0.0
(sin.f64 y)
accuracy0.0
(cosh.f64 x)
accuracy0.142910009768442
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
Samples
111.0ms256×0valid
Compiler

Compiled 135 to 25 computations (81.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 95.0ms
const: 45.0ms (47.4% of total)
ival-div: 24.0ms (25.3% of total)
ival-mult: 12.0ms (12.6% of total)
ival-sin: 6.0ms (6.3% of total)
ival-add: 3.0ms (3.2% of total)
ival-cosh: 3.0ms (3.2% of total)
ival-sub: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series58.0ms (0.8%)

Memory
-27.5MiB live, 20.1MiB allocated
Counts
19 → 39
Calls
Call 1
Inputs
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(sin.f64 y)
(/.f64 (cosh.f64 x) y)
(cosh.f64 x)
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) y)
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 x x)
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(*.f64 y y)
(*.f64 #s(literal 1/120 binary64) (*.f64 y y))
(-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))
Outputs
(/ (sin y) y)
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))
(/ 1 y)
(+ (* 1/2 (/ (pow x 2) y)) (/ 1 y))
(+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) y)) (* 1/2 (/ 1 y)))) (/ 1 y))
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) y)) (* 1/24 (/ 1 y)))) (* 1/2 (/ 1 y)))) (/ 1 y))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(pow x 2)
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(pow y 2)
(* 1/120 (pow y 2))
-1/6
(- (* 1/120 (pow y 2)) 1/6)
(sin y)
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* 1/120 (pow y 4))
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
Calls

6 calls:

TimeVariablePointExpression
48.0ms
y
@-inf
((* (sin y) (/ (cosh x) y)) (sin y) (/ (cosh x) y) (cosh x) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (* x x) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) (* y y) (* 1/120 (* y y)) (- (* 1/120 (* y y)) 1/6))
2.0ms
y
@inf
((* (sin y) (/ (cosh x) y)) (sin y) (/ (cosh x) y) (cosh x) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (* x x) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) (* y y) (* 1/120 (* y y)) (- (* 1/120 (* y y)) 1/6))
2.0ms
x
@inf
((* (sin y) (/ (cosh x) y)) (sin y) (/ (cosh x) y) (cosh x) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (* x x) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) (* y y) (* 1/120 (* y y)) (- (* 1/120 (* y y)) 1/6))
2.0ms
x
@-inf
((* (sin y) (/ (cosh x) y)) (sin y) (/ (cosh x) y) (cosh x) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (* x x) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) (* y y) (* 1/120 (* y y)) (- (* 1/120 (* y y)) 1/6))
2.0ms
y
@0
((* (sin y) (/ (cosh x) y)) (sin y) (/ (cosh x) y) (cosh x) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (* x x) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) (* y y) (* 1/120 (* y y)) (- (* 1/120 (* y y)) 1/6))

simplify216.0ms (3%)

Memory
2.9MiB live, 200.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0118493
1423457
21800433
37187427
08108394
Stop Event
iter limit
node limit
Counts
39 → 38
Calls
Call 1
Inputs
(/ (sin y) y)
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))
(/ 1 y)
(+ (* 1/2 (/ (pow x 2) y)) (/ 1 y))
(+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) y)) (* 1/2 (/ 1 y)))) (/ 1 y))
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) y)) (* 1/24 (/ 1 y)))) (* 1/2 (/ 1 y)))) (/ 1 y))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(pow x 2)
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(pow y 2)
(* 1/120 (pow y 2))
-1/6
(- (* 1/120 (pow y 2)) 1/6)
(sin y)
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* 1/120 (pow y 4))
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
Outputs
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 y) y))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))
(/.f64 (fma.f64 (*.f64 (sin.f64 y) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x x) (sin.f64 y)) y)
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sin.f64 y) (*.f64 (*.f64 (sin.f64 y) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (pow.f64 x #s(literal 4 binary64)))) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (* 1/2 (/ (pow x 2) y)) (/ 1 y))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)
(+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) y)) (* 1/2 (/ 1 y)))) (/ 1 y))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y)
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) y)) (* 1/24 (/ 1 y)))) (* 1/2 (/ 1 y)))) (/ 1 y))
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (sin.f64 y)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 y y) #s(literal -1/12 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (*.f64 y y) (fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 y y) #s(literal 1/240 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/6 binary64))) y)
(+ 1 (* -1/6 (pow y 2)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64))
(pow y 2)
(*.f64 y y)
(* 1/120 (pow y 2))
(*.f64 #s(literal 1/120 binary64) (*.f64 y y))
-1/6
#s(literal -1/6 binary64)
(- (* 1/120 (pow y 2)) 1/6)
(-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))
(sin y)
(sin.f64 y)
(* -1/6 (pow y 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 y y))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(*.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal 1/6 binary64)) y) y)
(* 1/120 (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64))
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/120 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))) y) y)

rewrite256.0ms (3.6%)

Memory
15.3MiB live, 248.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030158
050158
1146158
2843158
08280158
Stop Event
iter limit
node limit
iter limit
Counts
19 → 388
Calls
Call 1
Inputs
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(sin.f64 y)
(/.f64 (cosh.f64 x) y)
(cosh.f64 x)
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) y)
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 x x)
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(*.f64 y y)
(*.f64 #s(literal 1/120 binary64) (*.f64 y y))
(-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))
Outputs
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 (cosh.f64 x)) y))
(*.f64 (neg.f64 (cosh.f64 x)) (/.f64 (sin.f64 y) (neg.f64 y)))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 (/.f64 (sin.f64 y) y) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 (neg.f64 (sin.f64 y)) (*.f64 (neg.f64 y) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 (sin.f64 y) (*.f64 #s(literal 2 binary64) y)))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (/.f64 (sin.f64 y) y)) #s(literal -2 binary64))
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) y) #s(literal 2 binary64)) (cosh.f64 x))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x))) y)
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 y)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) (neg.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) (*.f64 (neg.f64 y) #s(literal -2 binary64)))
(/.f64 (*.f64 (sin.f64 y) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) (*.f64 y #s(literal -2 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (neg.f64 (sin.f64 y))) (*.f64 #s(literal -2 binary64) (neg.f64 y)))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (sin.f64 y)) (*.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) y) #s(literal 2 binary64)) (cosh.f64 x)) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 (neg.f64 y) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 (sin.f64 y) #s(literal 2 binary64)) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) y))
(/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) y)
(neg.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) y))
(neg.f64 (/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) (neg.f64 y)))
(neg.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) (neg.f64 y))))
(neg.f64 (*.f64 (sin.f64 y) (/.f64 (neg.f64 (cosh.f64 x)) y)))
(neg.f64 (*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (cosh.f64 x)))
(neg.f64 (*.f64 (/.f64 (neg.f64 (cosh.f64 x)) y) (sin.f64 y)))
(fma.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y)))
(fma.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))
(+.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y)) (*.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y)))
(+.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))
(neg.f64 (neg.f64 (sin.f64 y)))
(sin.f64 (neg.f64 (+.f64 (PI.f64) y)))
(sin.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64)))
(sin.f64 (+.f64 (neg.f64 y) (PI.f64)))
(sin.f64 y)
(cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (PI.f64) y) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) (*.f64 #s(literal 2 binary64) y)))
(*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) y))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) y)))
(/.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) y)))
(/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (*.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (*.f64 (neg.f64 y) #s(literal 2 binary64)))
(/.f64 (neg.f64 (cosh.f64 x)) (neg.f64 y))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal -2 binary64) (neg.f64 y)))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) y))
(/.f64 (cosh.f64 x) y)
(neg.f64 (/.f64 (neg.f64 (cosh.f64 x)) y))
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) y)) (/.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) y)))
(+.f64 (/.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) y)) (/.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) y)))
(+.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) y) (/.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) y))
(*.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) (-.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(/.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) #s(literal 4 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(neg.f64 (neg.f64 (cosh.f64 x)))
(cosh.f64 (neg.f64 x))
(cosh.f64 x)
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y))
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 y))
(/.f64 (sin.f64 y) y)
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 y)))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (cosh.f64 x))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))) #s(literal -2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64))
(fma.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (*.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))))
(fma.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))
(+.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) (*.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))))
(+.f64 (*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64)))) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (pow.f64 y #s(literal 6 binary64))))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (-.f64 (*.f64 #s(literal -1/216 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64))) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))
(*.f64 (/.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/46656 binary64) (pow.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64))) (pow.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) #s(literal 4 binary64))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (*.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) #s(literal 1 binary64))))) (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/216 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (/.f64 (*.f64 #s(literal -1/216 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) (*.f64 (pow.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #s(literal -1 binary64)))) (-.f64 (/.f64 (*.f64 #s(literal -1/216 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (pow.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #s(literal -1 binary64))))
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(neg.f64 (*.f64 (*.f64 (neg.f64 y) y) #s(literal 1 binary64)))
(neg.f64 (*.f64 (neg.f64 y) y))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 y) y))
(fabs.f64 (*.f64 y y))
(exp.f64 (*.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))))
(*.f64 (fabs.f64 (*.f64 (neg.f64 y) #s(literal 1/120 binary64))) y)
(*.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y)
(*.f64 (*.f64 (neg.f64 y) #s(literal 1/120 binary64)) (neg.f64 y))
(*.f64 (*.f64 #s(literal 1/120 binary64) y) y)
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 1/120 binary64)))
(*.f64 #s(literal 1/120 binary64) (*.f64 y y))
(*.f64 (*.f64 y y) #s(literal 1/120 binary64))
(*.f64 y (fabs.f64 (*.f64 (neg.f64 y) #s(literal 1/120 binary64))))
(*.f64 y (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)))
(*.f64 y (*.f64 #s(literal 1/120 binary64) y))
(neg.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 y y)))
(sqrt.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))))
(fabs.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 y y)))
(fabs.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)))
(*.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/1728000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/216 binary64))) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 y y)))))
(*.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/36 binary64)) (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/36 binary64))) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)))
(*.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/1728000 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/216 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 y y) #s(literal 1/36 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/720 binary64) (*.f64 y y) #s(literal 1/36 binary64))))
(*.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/1728000 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/216 binary64)) (fma.f64 #s(literal 1/2985984000000 binary64) (pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 y y) #s(literal 1/36 binary64)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 y y) #s(literal 1/36 binary64)) (-.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 y y) #s(literal 1/36 binary64)) (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 4 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)))
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/36 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)))
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/1728000 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/216 binary64))) #s(literal 1 binary64)) (neg.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 y y) #s(literal 1/36 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/36 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/1728000 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/216 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 y y) #s(literal 1/36 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal 1/14400 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)))) (*.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal 1/14400 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))))) (*.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal 1/14400 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/1728000 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 y y) #s(literal 1/36 binary64)))) (/.f64 (*.f64 #s(literal 1/1728000 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 y y) #s(literal 1/36 binary64))))) (*.f64 (/.f64 #s(literal 1/216 binary64) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 y y) #s(literal 1/36 binary64)))) (/.f64 #s(literal 1/216 binary64) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 y y) #s(literal 1/36 binary64)))))) (fma.f64 #s(literal 1/1728000 binary64) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 y y) #s(literal 1/36 binary64)))) (/.f64 #s(literal 1/216 binary64) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 y y) #s(literal 1/36 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal 1/14400 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal 1/14400 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)))) (*.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal 1/14400 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)))) (fma.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal 1/14400 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)))) (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/1728000 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 y y) #s(literal 1/36 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/216 binary64) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 y y) #s(literal 1/36 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/1728000 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 y y) #s(literal 1/36 binary64)))) (/.f64 (*.f64 #s(literal 1/1728000 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 y y) #s(literal 1/36 binary64)))) (fma.f64 (/.f64 #s(literal 1/216 binary64) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 y y) #s(literal 1/36 binary64)))) (/.f64 #s(literal 1/216 binary64) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 y y) #s(literal 1/36 binary64)))) (*.f64 (/.f64 (*.f64 #s(literal 1/1728000 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 y y) #s(literal 1/36 binary64)))) (/.f64 #s(literal 1/216 binary64) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 y y) #s(literal 1/36 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/36 binary64)))) (neg.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/1728000 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/216 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 y y) #s(literal 1/36 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/36 binary64))) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/1728000 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 y y) #s(literal 1/36 binary64)))) (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 y y) #s(literal 1/36 binary64))) #s(literal 1/216 binary64))) (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 y y) #s(literal 1/36 binary64))) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 y y) #s(literal 1/36 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 4 binary64)) #s(literal 1/1296 binary64)) (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 6 binary64)) #s(literal 1/46656 binary64)) (*.f64 (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/518400 binary64) #s(literal 1/1296 binary64)) (pow.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 4 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 6 binary64)) #s(literal 1/46656 binary64)) (*.f64 (fma.f64 #s(literal 1/1728000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/216 binary64)) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 y y) #s(literal 1/36 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 9 binary64)) #s(literal 1/10077696 binary64)) (*.f64 (fma.f64 #s(literal 1/2985984000000 binary64) (pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/373248000 binary64) #s(literal 1/46656 binary64))) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 y y) #s(literal 1/36 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/36 binary64))) (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/1728000 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/216 binary64))) (neg.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 y y) #s(literal 1/36 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1/1728000 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/216 binary64)) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 y y) #s(literal 1/36 binary64))))
(neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))))
(-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal 1/14400 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)))) (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))))
(-.f64 (/.f64 (*.f64 #s(literal 1/1728000 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 y y) #s(literal 1/36 binary64)))) (/.f64 #s(literal 1/216 binary64) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 y y) #s(literal 1/36 binary64)))))
(-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))

eval74.0ms (1%)

Memory
11.3MiB live, 161.1MiB allocated
Compiler

Compiled 15 975 to 2 074 computations (87% saved)

prune18.0ms (0.3%)

Memory
-2.5MiB live, 49.6MiB allocated
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New5238531
Fresh112
Picked325
Done000
Total52711538
Accuracy
100.0%
Counts
538 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.6%
(/.f64 (*.f64 (*.f64 (cosh.f64 x) (sinh.f64 x)) (sin.f64 y)) (*.f64 (sinh.f64 x) y))
49.2%
(*.f64 (sin.f64 y) (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y))
68.6%
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
47.9%
(*.f64 (cos.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (cosh.f64 x) y))
65.0%
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
62.4%
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
55.4%
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
56.1%
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
49.4%
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y))
37.4%
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
35.1%
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
Compiler

Compiled 392 to 268 computations (31.6% saved)

simplify201.0ms (2.8%)

Memory
-12.7MiB live, 186.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 y)
cost-diff0
(+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64)))
cost-diff0
(*.f64 (cos.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (cosh.f64 x) y))
cost-diff5
(cos.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
cost-diff0
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
cost-diff0
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
cost-diff0
(*.f64 y y)
cost-diff0
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
cost-diff0
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
cost-diff0
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
cost-diff0
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
040354
068348
1125348
2338344
31134344
43655344
08107344
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
#s(literal 1/720 binary64)
(*.f64 x x)
x
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
#s(literal -1/6 binary64)
(*.f64 y y)
y
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
#s(literal -1/6 binary64)
(*.f64 y y)
y
#s(literal 1 binary64)
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
#s(literal -1/6 binary64)
(*.f64 y y)
y
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/120 binary64) (*.f64 y y))
#s(literal 1/120 binary64)
(*.f64 y y)
y
#s(literal 1/6 binary64)
(*.f64 (cos.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (cosh.f64 x) y))
(cos.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64)))
(neg.f64 y)
y
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(/.f64 (cosh.f64 x) y)
(cosh.f64 x)
x
Outputs
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
#s(literal 1/720 binary64)
(*.f64 x x)
x
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
#s(literal -1/6 binary64)
(*.f64 y y)
y
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
#s(literal -1/6 binary64)
(*.f64 y y)
y
#s(literal 1 binary64)
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
#s(literal -1/6 binary64)
(*.f64 y y)
y
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/120 binary64) (*.f64 y y))
#s(literal 1/120 binary64)
(*.f64 y y)
y
#s(literal 1/6 binary64)
(*.f64 (cos.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (cosh.f64 x) y))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(cos.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 y)
(+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 y))
(neg.f64 y)
y
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(/.f64 (cosh.f64 x) y)
(cosh.f64 x)
x

localize311.0ms (4.4%)

Memory
20.0MiB live, 374.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(PI.f64)
accuracy0.01171875
(+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64)))
accuracy0.142910009768442
(*.f64 (cos.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (cosh.f64 x) y))
accuracy57.01824819752714
(cos.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))))
accuracy0.045253759768442016
(fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
accuracy0.140625
(*.f64 #s(literal 1/120 binary64) (*.f64 y y))
accuracy13.700772499698171
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
accuracy27.205841192851864
#s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
accuracy0.0
(*.f64 x x)
accuracy0.08984375
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
accuracy13.700772499698171
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
accuracy27.289782859599264
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
accuracy0.0
(*.f64 y y)
accuracy0.08984375
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
accuracy27.289782859599264
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
accuracy32.346580389301025
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
accuracy0.078125
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
accuracy0.08984375
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
accuracy3.7578689140219574
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
accuracy27.289782859599264
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
Samples
186.0ms196×1valid
68.0ms48×2valid
4.0ms12×0valid
Compiler

Compiled 233 to 39 computations (83.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 201.0ms
ival-add: 66.0ms (32.9% of total)
ival-cos: 38.0ms (18.9% of total)
ival-mult: 25.0ms (12.4% of total)
const: 22.0ms (11% of total)
adjust: 19.0ms (9.5% of total)
ival-div: 16.0ms (8% of total)
ival-sin: 6.0ms (3% of total)
ival-cosh: 3.0ms (1.5% of total)
ival-pi: 2.0ms (1% of total)
ival-sub: 2.0ms (1% of total)
ival-neg: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series55.0ms (0.8%)

Memory
-22.8MiB live, 57.9MiB allocated
Counts
22 → 61
Calls
Call 1
Inputs
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(*.f64 y y)
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 x x)
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(cos.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))))
(*.f64 (cos.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (cosh.f64 x) y))
(+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64)))
(neg.f64 y)
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
#s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(*.f64 #s(literal 1/120 binary64) (*.f64 y y))
(fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(PI.f64)
Outputs
(/ (sin y) y)
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
(pow x 2)
(/ (cos (- (* 1/2 (PI)) y)) y)
(+ (* 1/2 (/ (* (pow x 2) (cos (- (* 1/2 (PI)) y))) y)) (/ (cos (- (* 1/2 (PI)) y)) y))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (cos (- (* 1/2 (PI)) y))) y)) (* 1/2 (/ (cos (- (* 1/2 (PI)) y)) y)))) (/ (cos (- (* 1/2 (PI)) y)) y))
(+ (* (pow x 2) (+ (* 1/2 (/ (cos (- (* 1/2 (PI)) y)) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (cos (- (* 1/2 (PI)) y))) y)) (* 1/24 (/ (cos (- (* 1/2 (PI)) y)) y)))))) (/ (cos (- (* 1/2 (PI)) y)) y))
1/24
(+ 1/24 (* 1/720 (pow x 2)))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/720 (pow x 4))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* 1/2 (/ (* (cos (- (* 1/2 (PI)) y)) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/720 (pow x 2))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(pow y 2)
(cos (* 1/2 (PI)))
(+ (cos (* 1/2 (PI))) (* y (sin (* 1/2 (PI)))))
(+ (cos (* 1/2 (PI))) (* y (- (* -1/2 (* y (cos (* 1/2 (PI))))) (* -1 (sin (* 1/2 (PI)))))))
(+ (cos (* 1/2 (PI))) (* y (- (* y (+ (* -1/2 (cos (* 1/2 (PI)))) (* -1/6 (* y (sin (* 1/2 (PI))))))) (* -1 (sin (* 1/2 (PI)))))))
(* 1/2 (/ (* (cos (* 1/2 (PI))) (+ (exp x) (/ 1 (exp x)))) y))
(/ (+ (* 1/2 (* y (* (sin (* 1/2 (PI))) (+ (exp x) (/ 1 (exp x)))))) (* 1/2 (* (cos (* 1/2 (PI))) (+ (exp x) (/ 1 (exp x)))))) y)
(/ (+ (* 1/2 (* (cos (* 1/2 (PI))) (+ (exp x) (/ 1 (exp x))))) (* y (+ (* -1/4 (* y (* (cos (* 1/2 (PI))) (+ (exp x) (/ 1 (exp x)))))) (* 1/2 (* (sin (* 1/2 (PI))) (+ (exp x) (/ 1 (exp x)))))))) y)
(/ (+ (* 1/2 (* (cos (* 1/2 (PI))) (+ (exp x) (/ 1 (exp x))))) (* y (+ (* 1/2 (* (sin (* 1/2 (PI))) (+ (exp x) (/ 1 (exp x))))) (* y (+ (* -1/4 (* (cos (* 1/2 (PI))) (+ (exp x) (/ 1 (exp x))))) (* -1/12 (* y (* (sin (* 1/2 (PI))) (+ (exp x) (/ 1 (exp x))))))))))) y)
(* 1/2 (PI))
(+ (* -1 y) (* 1/2 (PI)))
(* -1 y)
(* 1/120 (pow y 2))
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(cos (- (* 1/2 (PI)) y))
(* y (- (* 1/2 (/ (PI) y)) 1))
(* 1/120 (pow y 4))
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))
(cos (+ (* -1 y) (* 1/2 (PI))))
(* 1/2 (/ (* (cos (+ (* -1 y) (* 1/2 (PI)))) (+ (exp x) (/ 1 (exp x)))) y))
(* -1 (* y (+ 1 (* -1/2 (/ (PI) y)))))
Calls

6 calls:

TimeVariablePointExpression
37.0ms
x
@inf
((* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (* y y) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (* x x) (* (cosh x) (/ (sin y) y)) (cos (+ (neg y) (/ (PI) 2))) (* (cos (+ (neg y) (/ (PI) 2))) (/ (cosh x) y)) (+ (neg y) (/ (PI) 2)) (neg y) (+ (* 1/720 (* x x)) 1/24) (/ (sin y) y) (* 1/120 (* y y)) (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) (PI))
7.0ms
y
@-inf
((* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (* y y) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (* x x) (* (cosh x) (/ (sin y) y)) (cos (+ (neg y) (/ (PI) 2))) (* (cos (+ (neg y) (/ (PI) 2))) (/ (cosh x) y)) (+ (neg y) (/ (PI) 2)) (neg y) (+ (* 1/720 (* x x)) 1/24) (/ (sin y) y) (* 1/120 (* y y)) (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) (PI))
3.0ms
x
@-inf
((* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (* y y) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (* x x) (* (cosh x) (/ (sin y) y)) (cos (+ (neg y) (/ (PI) 2))) (* (cos (+ (neg y) (/ (PI) 2))) (/ (cosh x) y)) (+ (neg y) (/ (PI) 2)) (neg y) (+ (* 1/720 (* x x)) 1/24) (/ (sin y) y) (* 1/120 (* y y)) (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) (PI))
3.0ms
y
@inf
((* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (* y y) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (* x x) (* (cosh x) (/ (sin y) y)) (cos (+ (neg y) (/ (PI) 2))) (* (cos (+ (neg y) (/ (PI) 2))) (/ (cosh x) y)) (+ (neg y) (/ (PI) 2)) (neg y) (+ (* 1/720 (* x x)) 1/24) (/ (sin y) y) (* 1/120 (* y y)) (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) (PI))
2.0ms
y
@0
((* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (* y y) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (* x x) (* (cosh x) (/ (sin y) y)) (cos (+ (neg y) (/ (PI) 2))) (* (cos (+ (neg y) (/ (PI) 2))) (/ (cosh x) y)) (+ (neg y) (/ (PI) 2)) (neg y) (+ (* 1/720 (* x x)) 1/24) (/ (sin y) y) (* 1/120 (* y y)) (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) (PI))

simplify177.0ms (2.5%)

Memory
10.0MiB live, 209.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0198904
1723844
23120835
08049776
Stop Event
iter limit
node limit
Counts
61 → 61
Calls
Call 1
Inputs
(/ (sin y) y)
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
(pow x 2)
(/ (cos (- (* 1/2 (PI)) y)) y)
(+ (* 1/2 (/ (* (pow x 2) (cos (- (* 1/2 (PI)) y))) y)) (/ (cos (- (* 1/2 (PI)) y)) y))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (cos (- (* 1/2 (PI)) y))) y)) (* 1/2 (/ (cos (- (* 1/2 (PI)) y)) y)))) (/ (cos (- (* 1/2 (PI)) y)) y))
(+ (* (pow x 2) (+ (* 1/2 (/ (cos (- (* 1/2 (PI)) y)) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (cos (- (* 1/2 (PI)) y))) y)) (* 1/24 (/ (cos (- (* 1/2 (PI)) y)) y)))))) (/ (cos (- (* 1/2 (PI)) y)) y))
1/24
(+ 1/24 (* 1/720 (pow x 2)))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/720 (pow x 4))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* 1/2 (/ (* (cos (- (* 1/2 (PI)) y)) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/720 (pow x 2))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(pow y 2)
(cos (* 1/2 (PI)))
(+ (cos (* 1/2 (PI))) (* y (sin (* 1/2 (PI)))))
(+ (cos (* 1/2 (PI))) (* y (- (* -1/2 (* y (cos (* 1/2 (PI))))) (* -1 (sin (* 1/2 (PI)))))))
(+ (cos (* 1/2 (PI))) (* y (- (* y (+ (* -1/2 (cos (* 1/2 (PI)))) (* -1/6 (* y (sin (* 1/2 (PI))))))) (* -1 (sin (* 1/2 (PI)))))))
(* 1/2 (/ (* (cos (* 1/2 (PI))) (+ (exp x) (/ 1 (exp x)))) y))
(/ (+ (* 1/2 (* y (* (sin (* 1/2 (PI))) (+ (exp x) (/ 1 (exp x)))))) (* 1/2 (* (cos (* 1/2 (PI))) (+ (exp x) (/ 1 (exp x)))))) y)
(/ (+ (* 1/2 (* (cos (* 1/2 (PI))) (+ (exp x) (/ 1 (exp x))))) (* y (+ (* -1/4 (* y (* (cos (* 1/2 (PI))) (+ (exp x) (/ 1 (exp x)))))) (* 1/2 (* (sin (* 1/2 (PI))) (+ (exp x) (/ 1 (exp x)))))))) y)
(/ (+ (* 1/2 (* (cos (* 1/2 (PI))) (+ (exp x) (/ 1 (exp x))))) (* y (+ (* 1/2 (* (sin (* 1/2 (PI))) (+ (exp x) (/ 1 (exp x))))) (* y (+ (* -1/4 (* (cos (* 1/2 (PI))) (+ (exp x) (/ 1 (exp x))))) (* -1/12 (* y (* (sin (* 1/2 (PI))) (+ (exp x) (/ 1 (exp x))))))))))) y)
(* 1/2 (PI))
(+ (* -1 y) (* 1/2 (PI)))
(* -1 y)
(* 1/120 (pow y 2))
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(cos (- (* 1/2 (PI)) y))
(* y (- (* 1/2 (/ (PI) y)) 1))
(* 1/120 (pow y 4))
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))
(cos (+ (* -1 y) (* 1/2 (PI))))
(* 1/2 (/ (* (cos (+ (* -1 y) (* 1/2 (PI)))) (+ (exp x) (/ 1 (exp x)))) y))
(* -1 (* y (+ 1 (* -1/2 (/ (PI) y)))))
Outputs
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))
(/.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (sin.f64 y)) (sin.f64 y)) y)
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sin.f64 y) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/24 binary64) (sin.f64 y)))) y) (*.f64 x x) (/.f64 (sin.f64 y) y))
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))
(+.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (sin.f64 y)) (sin.f64 y)) y) (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 y) (*.f64 (*.f64 #s(literal 1/720 binary64) (sin.f64 y)) (*.f64 x x))) y)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/24 (pow x 2)))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(pow x 2)
(*.f64 x x)
(/ (cos (- (* 1/2 (PI)) y)) y)
(/.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) y)) y)
(+ (* 1/2 (/ (* (pow x 2) (cos (- (* 1/2 (PI)) y))) y)) (/ (cos (- (* 1/2 (PI)) y)) y))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) y)) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) y))) y)
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (cos (- (* 1/2 (PI)) y))) y)) (* 1/2 (/ (cos (- (* 1/2 (PI)) y)) y)))) (/ (cos (- (* 1/2 (PI)) y)) y))
(fma.f64 (/.f64 (fma.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) y)) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) y)))) y) (*.f64 x x) (/.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) y)) y))
(+ (* (pow x 2) (+ (* 1/2 (/ (cos (- (* 1/2 (PI)) y)) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (cos (- (* 1/2 (PI)) y))) y)) (* 1/24 (/ (cos (- (* 1/2 (PI)) y)) y)))))) (/ (cos (- (* 1/2 (PI)) y)) y))
(+.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) y)) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) y))) y) (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (fma.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) y)) #s(literal 1/24 binary64) (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) y)))) y)))
1/24
#s(literal 1/24 binary64)
(+ 1/24 (* 1/720 (pow x 2)))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 (sin.f64 y) y)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(* 1/720 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal -1/24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/24 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 6 binary64)))
(* 1/720 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal -1/24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(* 1/2 (/ (* (cos (- (* 1/2 (PI)) y)) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) y)) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/720 (pow x 2))
(*.f64 #s(literal 1/720 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (*.f64 #s(literal -1/12 binary64) y) y #s(literal 1/2 binary64)))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(fma.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 #s(literal 1/240 binary64) (*.f64 y y) #s(literal -1/12 binary64))) (*.f64 y y) (fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
(fma.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (*.f64 #s(literal -1/12 binary64) y) y #s(literal 1/2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 #s(literal -1/10080 binary64) (*.f64 y y) #s(literal 1/240 binary64)))))
(+ 1 (* -1/6 (pow y 2)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64))
(pow y 2)
(*.f64 y y)
(cos (* 1/2 (PI)))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))
(+ (cos (* 1/2 (PI))) (* y (sin (* 1/2 (PI)))))
(fma.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) y (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))))
(+ (cos (* 1/2 (PI))) (* y (- (* -1/2 (* y (cos (* 1/2 (PI))))) (* -1 (sin (* 1/2 (PI)))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) y (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))))
(+ (cos (* 1/2 (PI))) (* y (- (* y (+ (* -1/2 (cos (* 1/2 (PI)))) (* -1/6 (* y (sin (* 1/2 (PI))))))) (* -1 (sin (* 1/2 (PI)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))))) y (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) y (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))))
(* 1/2 (/ (* (cos (* 1/2 (PI))) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(/ (+ (* 1/2 (* y (* (sin (* 1/2 (PI))) (+ (exp x) (/ 1 (exp x)))))) (* 1/2 (* (cos (* 1/2 (PI))) (+ (exp x) (/ 1 (exp x)))))) y)
(*.f64 (/.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) y (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))))) y) #s(literal 1/2 binary64))
(/ (+ (* 1/2 (* (cos (* 1/2 (PI))) (+ (exp x) (/ 1 (exp x))))) (* y (+ (* -1/4 (* y (* (cos (* 1/2 (PI))) (+ (exp x) (/ 1 (exp x)))))) (* 1/2 (* (sin (* 1/2 (PI))) (+ (exp x) (/ 1 (exp x)))))))) y)
(/.f64 (fma.f64 (*.f64 y (*.f64 #s(literal -1/4 binary64) y)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) y (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))))) #s(literal 1/2 binary64))) y)
(/ (+ (* 1/2 (* (cos (* 1/2 (PI))) (+ (exp x) (/ 1 (exp x))))) (* y (+ (* 1/2 (* (sin (* 1/2 (PI))) (+ (exp x) (/ 1 (exp x))))) (* y (+ (* -1/4 (* (cos (* 1/2 (PI))) (+ (exp x) (/ 1 (exp x))))) (* -1/12 (* y (* (sin (* 1/2 (PI))) (+ (exp x) (/ 1 (exp x))))))))))) y)
(/.f64 (fma.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) y (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))))) #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) #s(literal 1/12 binary64))) y) y)) y)
(* 1/2 (PI))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(+ (* -1 y) (* 1/2 (PI)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) y)
(* -1 y)
(neg.f64 y)
(* 1/120 (pow y 2))
(*.f64 #s(literal 1/120 binary64) (*.f64 y y))
(* -1/6 (pow y 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 y y))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y)
(cos (- (* 1/2 (PI)) y))
(cos.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) y))
(* y (- (* 1/2 (/ (PI) y)) 1))
(*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) y)
(* 1/120 (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64))
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/120 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))) (pow.f64 y #s(literal 4 binary64)))
(cos (+ (* -1 y) (* 1/2 (PI))))
(cos.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) y))
(* 1/2 (/ (* (cos (+ (* -1 y) (* 1/2 (PI)))) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) y)) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* -1 (* y (+ 1 (* -1/2 (/ (PI) y)))))
(*.f64 (fma.f64 (/.f64 (PI.f64) y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)

rewrite164.0ms (2.3%)

Memory
-10.8MiB live, 272.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040250
068244
1252244
21697244
08475244
Stop Event
iter limit
node limit
iter limit
Counts
22 → 410
Calls
Call 1
Inputs
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(*.f64 y y)
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 x x)
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(cos.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))))
(*.f64 (cos.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (cosh.f64 x) y))
(+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64)))
(neg.f64 y)
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
#s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(*.f64 #s(literal 1/120 binary64) (*.f64 y y))
(fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(PI.f64)
Outputs
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))) (/.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))) (-.f64 (*.f64 (pow.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))) (pow.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64))))
(/.f64 (fma.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) (*.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) #s(literal 1 binary64))) (*.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))))
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(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (*.f64 (cbrt.f64 (PI.f64)) (PI.f64))))
(*.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (PI.f64)))
(pow.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64))
(pow.f64 (PI.f64) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (PI.f64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (PI.f64))) (cosh.f64 (log.f64 (PI.f64))) (-.f64 (*.f64 (sinh.f64 (log.f64 (PI.f64))) (sinh.f64 (log.f64 (PI.f64)))) (*.f64 (cosh.f64 (log.f64 (PI.f64))) (sinh.f64 (log.f64 (PI.f64)))))))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
(sqrt.f64 (*.f64 (PI.f64) (PI.f64)))
(fabs.f64 (neg.f64 (PI.f64)))
(fabs.f64 (PI.f64))
(exp.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 2 binary64)))
(exp.f64 (/.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)))
(exp.f64 (log.f64 (PI.f64)))
(+.f64 (cosh.f64 (log.f64 (PI.f64))) (sinh.f64 (log.f64 (PI.f64))))
(log.f64 (exp.f64 (PI.f64)))
(PI.f64)

eval156.0ms (2.2%)

Memory
35.2MiB live, 225.2MiB allocated
Compiler

Compiled 27 174 to 2 857 computations (89.5% saved)

prune28.0ms (0.4%)

Memory
0.8MiB live, 75.7MiB allocated
Pruning

16 alts after pruning (13 fresh and 3 done)

PrunedKeptTotal
New74810758
Fresh134
Picked415
Done022
Total75316769
Accuracy
100.0%
Counts
769 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.6%
(/.f64 (*.f64 (*.f64 (cosh.f64 x) (sinh.f64 x)) (sin.f64 y)) (*.f64 (sinh.f64 x) y))
50.5%
(*.f64 (/.f64 (-.f64 (+.f64 (neg.f64 (neg.f64 (sin.f64 y))) (cos.f64 (-.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))))) (-.f64 (cos.f64 (-.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (sin.f64 y))))) #s(literal 2 binary64)) (/.f64 (cosh.f64 x) y))
49.2%
(*.f64 (sin.f64 y) (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y))
68.6%
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
65.0%
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
65.0%
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
62.4%
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
56.1%
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
29.6%
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
30.5%
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
47.9%
(*.f64 #s(approx (cos (+ (neg y) (/ (PI) 2))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) y))) (/.f64 (cosh.f64 x) y))
49.4%
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y))
37.4%
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
35.1%
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
31.7%
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y))))
8.5%
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
Compiler

Compiled 725 to 491 computations (32.3% saved)

simplify210.0ms (2.9%)

Memory
-20.9MiB live, 194.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 #s(literal -1/2 binary64) (PI.f64) y)
cost-diff0
(cos.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) y))
cost-diff0
#s(approx (cos (+ (neg y) (/ (PI) 2))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) y)))
cost-diff0
(*.f64 #s(approx (cos (+ (neg y) (/ (PI) 2))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) y))) (/.f64 (cosh.f64 x) y))
cost-diff0
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
cost-diff0
#s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
cost-diff0
#s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
cost-diff0
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
cost-diff0
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
cost-diff0
#s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
cost-diff0
#s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
cost-diff0
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
cost-diff0
(*.f64 #s(literal -1/6 binary64) (*.f64 y y))
cost-diff0
#s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
cost-diff0
#s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))
cost-diff0
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
cost-diff0
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))
cost-diff0
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
cost-diff0
#s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056446
083440
1146440
2363436
31093436
43195436
08016430
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(*.f64 x x)
x
#s(literal 1/720 binary64)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
#s(literal -1/6 binary64)
(*.f64 y y)
y
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
#s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))
#s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(*.f64 #s(literal -1/6 binary64) (*.f64 y y))
#s(literal -1/6 binary64)
(*.f64 y y)
y
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(*.f64 x x)
x
#s(literal 1/2 binary64)
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
#s(literal -1/6 binary64)
(*.f64 y y)
y
#s(literal 1 binary64)
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(*.f64 x x)
x
#s(literal 1/2 binary64)
#s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/120 binary64) (*.f64 y y))
#s(literal 1/120 binary64)
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(*.f64 #s(approx (cos (+ (neg y) (/ (PI) 2))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) y))) (/.f64 (cosh.f64 x) y))
#s(approx (cos (+ (neg y) (/ (PI) 2))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) y)))
(cos.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) y))
(fma.f64 #s(literal -1/2 binary64) (PI.f64) y)
#s(literal -1/2 binary64)
(PI.f64)
y
(/.f64 (cosh.f64 x) y)
(cosh.f64 x)
x
Outputs
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x)
(*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(*.f64 x x)
x
#s(literal 1/720 binary64)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
#s(literal -1/6 binary64)
(*.f64 y y)
y
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))))
#s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))
#s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))
#s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
#s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))
(*.f64 #s(literal -1/6 binary64) (*.f64 y y))
(*.f64 (*.f64 y y) #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(*.f64 y y)
y
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
#s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
#s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (+ (* (* x x) 1/2) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(*.f64 x x)
x
#s(literal 1/2 binary64)
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
#s(literal -1/6 binary64)
(*.f64 y y)
y
#s(literal 1 binary64)
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
#s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
#s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (+ (* (* x x) 1/2) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(*.f64 x x)
x
#s(literal 1/2 binary64)
#s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/120 binary64) (*.f64 y y))
#s(literal 1/120 binary64)
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(*.f64 #s(approx (cos (+ (neg y) (/ (PI) 2))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) y))) (/.f64 (cosh.f64 x) y))
(*.f64 (/.f64 (cosh.f64 x) y) #s(approx (cos (+ (neg y) (/ (PI) 2))) (cos.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) y))))
#s(approx (cos (+ (neg y) (/ (PI) 2))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) y)))
#s(approx (cos (+ (neg y) (/ (PI) 2))) (cos.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) y)))
(cos.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) y))
(cos.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) y))
(fma.f64 #s(literal -1/2 binary64) (PI.f64) y)
(fma.f64 (PI.f64) #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
(PI.f64)
y
(/.f64 (cosh.f64 x) y)
(cosh.f64 x)
x

localize501.0ms (7%)

Memory
2.0MiB live, 397.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0
#s(approx (cos (+ (neg y) (/ (PI) 2))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) y)))
accuracy0.01171875
(fma.f64 #s(literal -1/2 binary64) (PI.f64) y)
accuracy0.142910009768442
(*.f64 #s(approx (cos (+ (neg y) (/ (PI) 2))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) y))) (/.f64 (cosh.f64 x) y))
accuracy57.01824819752714
(cos.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) y))
accuracy0.140625
(*.f64 #s(literal 1/120 binary64) (*.f64 y y))
accuracy13.700772499698171
#s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
accuracy27.205841192851864
#s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
accuracy29.602269999636857
#s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
accuracy0.08984375
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
accuracy13.700772499698171
#s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
accuracy27.289782859599264
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
accuracy29.602269999636857
#s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
accuracy0.1796875
(*.f64 #s(literal -1/6 binary64) (*.f64 y y))
accuracy27.289782859599264
#s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))
accuracy32.346580389301025
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
accuracy35.51807454030257
#s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
accuracy0.08984375
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
accuracy0.19921875
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x)
accuracy3.7578689140219574
#s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
accuracy27.289782859599264
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
Samples
273.0ms196×1valid
101.0ms49×2valid
4.0ms11×0valid
Compiler

Compiled 256 to 44 computations (82.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 335.0ms
ival-cos: 94.0ms (28% of total)
const: 67.0ms (20% of total)
ival-mult: 45.0ms (13.4% of total)
ival-div: 44.0ms (13.1% of total)
adjust: 37.0ms (11% of total)
ival-sub: 18.0ms (5.4% of total)
ival-add: 17.0ms (5.1% of total)
ival-sin: 5.0ms (1.5% of total)
ival-cosh: 3.0ms (0.9% of total)
ival-pi: 2.0ms (0.6% of total)
exact: 1.0ms (0.3% of total)
ival-neg: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series96.0ms (1.3%)

Memory
-13.5MiB live, 25.3MiB allocated
Counts
22 → 62
Calls
Call 1
Inputs
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
#s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))
#s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(*.f64 #s(literal -1/6 binary64) (*.f64 y y))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos (+ (neg y) (/ (PI) 2))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) y))) (/.f64 (cosh.f64 x) y))
#s(approx (cos (+ (neg y) (/ (PI) 2))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) y)))
(cos.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) y))
(fma.f64 #s(literal -1/2 binary64) (PI.f64) y)
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x)
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
#s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(*.f64 #s(literal 1/120 binary64) (*.f64 y y))
Outputs
(/ (sin y) y)
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
(* 1/2 (pow x 2))
(/ (cos (- (* 1/2 (PI)) y)) y)
(+ (* 1/2 (/ (* (pow x 2) (cos (- (* 1/2 (PI)) y))) y)) (/ (cos (- (* 1/2 (PI)) y)) y))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (cos (- (* 1/2 (PI)) y))) y)) (* 1/2 (/ (cos (- (* 1/2 (PI)) y)) y)))) (/ (cos (- (* 1/2 (PI)) y)) y))
(+ (* (pow x 2) (+ (* 1/2 (/ (cos (- (* 1/2 (PI)) y)) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (cos (- (* 1/2 (PI)) y))) y)) (* 1/24 (/ (cos (- (* 1/2 (PI)) y)) y)))))) (/ (cos (- (* 1/2 (PI)) y)) y))
(* 1/24 x)
(* x (+ 1/24 (* 1/720 (pow x 2))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/720 (pow x 4))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* 1/2 (/ (* (cos (- (* 1/2 (PI)) y)) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/720 (pow x 3))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(* -1/6 (pow y 2))
(* 1/2 (/ (* (cos (* 1/2 (PI))) (+ (exp x) (/ 1 (exp x)))) y))
(/ (+ (* 1/2 (* y (* (sin (* 1/2 (PI))) (+ (exp x) (/ 1 (exp x)))))) (* 1/2 (* (cos (* 1/2 (PI))) (+ (exp x) (/ 1 (exp x)))))) y)
(/ (+ (* 1/2 (* (cos (* 1/2 (PI))) (+ (exp x) (/ 1 (exp x))))) (* y (+ (* -1/4 (* y (* (cos (* 1/2 (PI))) (+ (exp x) (/ 1 (exp x)))))) (* 1/2 (* (sin (* 1/2 (PI))) (+ (exp x) (/ 1 (exp x)))))))) y)
(/ (+ (* 1/2 (* (cos (* 1/2 (PI))) (+ (exp x) (/ 1 (exp x))))) (* y (+ (* 1/2 (* (sin (* 1/2 (PI))) (+ (exp x) (/ 1 (exp x))))) (* y (+ (* -1/4 (* (cos (* 1/2 (PI))) (+ (exp x) (/ 1 (exp x))))) (* -1/12 (* y (* (sin (* 1/2 (PI))) (+ (exp x) (/ 1 (exp x))))))))))) y)
(cos (* 1/2 (PI)))
(+ (cos (* 1/2 (PI))) (* y (sin (* 1/2 (PI)))))
(+ (cos (* 1/2 (PI))) (* y (- (* -1/2 (* y (cos (* 1/2 (PI))))) (* -1 (sin (* 1/2 (PI)))))))
(+ (cos (* 1/2 (PI))) (* y (- (* y (+ (* -1/2 (cos (* 1/2 (PI)))) (* -1/6 (* y (sin (* 1/2 (PI))))))) (* -1 (sin (* 1/2 (PI)))))))
(cos (* -1/2 (PI)))
(+ (cos (* -1/2 (PI))) (* -1 (* y (sin (* -1/2 (PI))))))
(+ (cos (* -1/2 (PI))) (* y (- (* -1/2 (* y (cos (* -1/2 (PI))))) (sin (* -1/2 (PI))))))
(+ (cos (* -1/2 (PI))) (* y (- (* y (+ (* -1/2 (cos (* -1/2 (PI)))) (* 1/6 (* y (sin (* -1/2 (PI))))))) (sin (* -1/2 (PI))))))
(* -1/2 (PI))
(+ y (* -1/2 (PI)))
(* 1/120 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(cos (- (* 1/2 (PI)) y))
(cos (+ y (* -1/2 (PI))))
y
(* y (+ 1 (* -1/2 (/ (PI) y))))
(* 1/2 (/ (* (cos (+ (* -1 y) (* 1/2 (PI)))) (+ (exp x) (/ 1 (exp x)))) y))
(cos (+ (* -1 y) (* 1/2 (PI))))
(cos (- (* -1/2 (PI)) (* -1 y)))
(* -1 (* y (- (* 1/2 (/ (PI) y)) 1)))
Calls

6 calls:

TimeVariablePointExpression
84.0ms
y
@-inf
((* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (+ (* (* (+ (* (* x x) 1/720) 1/24) x) x) 1/2) (* x x)) 1) (+ (* (* (+ (* (* x x) 1/720) 1/24) x) x) 1/2) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (* -1/6 (* y y)) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (* (* x x) 1/2) (* (cosh x) (/ (sin y) y)) (* (cos (+ (neg y) (/ (PI) 2))) (/ (cosh x) y)) (cos (+ (neg y) (/ (PI) 2))) (cos (+ (* -1/2 (PI)) y)) (+ (* -1/2 (PI)) y) (/ (sin y) y) (* (+ (* (* x x) 1/720) 1/24) x) (+ (* -1/6 (* y y)) 1) (/ (sin y) y) (* 1/120 (* y y)))
3.0ms
x
@-inf
((* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (+ (* (* (+ (* (* x x) 1/720) 1/24) x) x) 1/2) (* x x)) 1) (+ (* (* (+ (* (* x x) 1/720) 1/24) x) x) 1/2) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (* -1/6 (* y y)) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (* (* x x) 1/2) (* (cosh x) (/ (sin y) y)) (* (cos (+ (neg y) (/ (PI) 2))) (/ (cosh x) y)) (cos (+ (neg y) (/ (PI) 2))) (cos (+ (* -1/2 (PI)) y)) (+ (* -1/2 (PI)) y) (/ (sin y) y) (* (+ (* (* x x) 1/720) 1/24) x) (+ (* -1/6 (* y y)) 1) (/ (sin y) y) (* 1/120 (* y y)))
3.0ms
x
@inf
((* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (+ (* (* (+ (* (* x x) 1/720) 1/24) x) x) 1/2) (* x x)) 1) (+ (* (* (+ (* (* x x) 1/720) 1/24) x) x) 1/2) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (* -1/6 (* y y)) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (* (* x x) 1/2) (* (cosh x) (/ (sin y) y)) (* (cos (+ (neg y) (/ (PI) 2))) (/ (cosh x) y)) (cos (+ (neg y) (/ (PI) 2))) (cos (+ (* -1/2 (PI)) y)) (+ (* -1/2 (PI)) y) (/ (sin y) y) (* (+ (* (* x x) 1/720) 1/24) x) (+ (* -1/6 (* y y)) 1) (/ (sin y) y) (* 1/120 (* y y)))
2.0ms
y
@inf
((* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (+ (* (* (+ (* (* x x) 1/720) 1/24) x) x) 1/2) (* x x)) 1) (+ (* (* (+ (* (* x x) 1/720) 1/24) x) x) 1/2) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (* -1/6 (* y y)) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (* (* x x) 1/2) (* (cosh x) (/ (sin y) y)) (* (cos (+ (neg y) (/ (PI) 2))) (/ (cosh x) y)) (cos (+ (neg y) (/ (PI) 2))) (cos (+ (* -1/2 (PI)) y)) (+ (* -1/2 (PI)) y) (/ (sin y) y) (* (+ (* (* x x) 1/720) 1/24) x) (+ (* -1/6 (* y y)) 1) (/ (sin y) y) (* 1/120 (* y y)))
1.0ms
y
@0
((* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (+ (* (* (+ (* (* x x) 1/720) 1/24) x) x) 1/2) (* x x)) 1) (+ (* (* (+ (* (* x x) 1/720) 1/24) x) x) 1/2) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (* -1/6 (* y y)) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (* (* x x) 1/2) (* (cosh x) (/ (sin y) y)) (* (cos (+ (neg y) (/ (PI) 2))) (/ (cosh x) y)) (cos (+ (neg y) (/ (PI) 2))) (cos (+ (* -1/2 (PI)) y)) (+ (* -1/2 (PI)) y) (/ (sin y) y) (* (+ (* (* x x) 1/720) 1/24) x) (+ (* -1/6 (* y y)) 1) (/ (sin y) y) (* 1/120 (* y y)))

simplify219.0ms (3.1%)

Memory
27.3MiB live, 147.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0216949
1787888
23293880
08220813
Stop Event
iter limit
node limit
Counts
62 → 61
Calls
Call 1
Inputs
(/ (sin y) y)
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
(* 1/2 (pow x 2))
(/ (cos (- (* 1/2 (PI)) y)) y)
(+ (* 1/2 (/ (* (pow x 2) (cos (- (* 1/2 (PI)) y))) y)) (/ (cos (- (* 1/2 (PI)) y)) y))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (cos (- (* 1/2 (PI)) y))) y)) (* 1/2 (/ (cos (- (* 1/2 (PI)) y)) y)))) (/ (cos (- (* 1/2 (PI)) y)) y))
(+ (* (pow x 2) (+ (* 1/2 (/ (cos (- (* 1/2 (PI)) y)) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (cos (- (* 1/2 (PI)) y))) y)) (* 1/24 (/ (cos (- (* 1/2 (PI)) y)) y)))))) (/ (cos (- (* 1/2 (PI)) y)) y))
(* 1/24 x)
(* x (+ 1/24 (* 1/720 (pow x 2))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/720 (pow x 4))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* 1/2 (/ (* (cos (- (* 1/2 (PI)) y)) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/720 (pow x 3))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(* -1/6 (pow y 2))
(* 1/2 (/ (* (cos (* 1/2 (PI))) (+ (exp x) (/ 1 (exp x)))) y))
(/ (+ (* 1/2 (* y (* (sin (* 1/2 (PI))) (+ (exp x) (/ 1 (exp x)))))) (* 1/2 (* (cos (* 1/2 (PI))) (+ (exp x) (/ 1 (exp x)))))) y)
(/ (+ (* 1/2 (* (cos (* 1/2 (PI))) (+ (exp x) (/ 1 (exp x))))) (* y (+ (* -1/4 (* y (* (cos (* 1/2 (PI))) (+ (exp x) (/ 1 (exp x)))))) (* 1/2 (* (sin (* 1/2 (PI))) (+ (exp x) (/ 1 (exp x)))))))) y)
(/ (+ (* 1/2 (* (cos (* 1/2 (PI))) (+ (exp x) (/ 1 (exp x))))) (* y (+ (* 1/2 (* (sin (* 1/2 (PI))) (+ (exp x) (/ 1 (exp x))))) (* y (+ (* -1/4 (* (cos (* 1/2 (PI))) (+ (exp x) (/ 1 (exp x))))) (* -1/12 (* y (* (sin (* 1/2 (PI))) (+ (exp x) (/ 1 (exp x))))))))))) y)
(cos (* 1/2 (PI)))
(+ (cos (* 1/2 (PI))) (* y (sin (* 1/2 (PI)))))
(+ (cos (* 1/2 (PI))) (* y (- (* -1/2 (* y (cos (* 1/2 (PI))))) (* -1 (sin (* 1/2 (PI)))))))
(+ (cos (* 1/2 (PI))) (* y (- (* y (+ (* -1/2 (cos (* 1/2 (PI)))) (* -1/6 (* y (sin (* 1/2 (PI))))))) (* -1 (sin (* 1/2 (PI)))))))
(cos (* -1/2 (PI)))
(+ (cos (* -1/2 (PI))) (* -1 (* y (sin (* -1/2 (PI))))))
(+ (cos (* -1/2 (PI))) (* y (- (* -1/2 (* y (cos (* -1/2 (PI))))) (sin (* -1/2 (PI))))))
(+ (cos (* -1/2 (PI))) (* y (- (* y (+ (* -1/2 (cos (* -1/2 (PI)))) (* 1/6 (* y (sin (* -1/2 (PI))))))) (sin (* -1/2 (PI))))))
(* -1/2 (PI))
(+ y (* -1/2 (PI)))
(* 1/120 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(cos (- (* 1/2 (PI)) y))
(cos (+ y (* -1/2 (PI))))
y
(* y (+ 1 (* -1/2 (/ (PI) y))))
(* 1/2 (/ (* (cos (+ (* -1 y) (* 1/2 (PI)))) (+ (exp x) (/ 1 (exp x)))) y))
(cos (+ (* -1 y) (* 1/2 (PI))))
(cos (- (* -1/2 (PI)) (* -1 y)))
(* -1 (* y (- (* 1/2 (/ (PI) y)) 1)))
Outputs
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))
(/.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (sin.f64 y)) (sin.f64 y)) y)
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))
(fma.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/24 binary64) (sin.f64 y)) (*.f64 #s(literal 1/2 binary64) (sin.f64 y))) y) (*.f64 x x) (/.f64 (sin.f64 y) y))
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))
(+.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (sin.f64 y)) (sin.f64 y)) y) (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 y) (*.f64 (*.f64 #s(literal 1/720 binary64) (sin.f64 y)) (*.f64 x x))) y)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/24 (pow x 2)))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(/ (cos (- (* 1/2 (PI)) y)) y)
(/.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) y)) y)
(+ (* 1/2 (/ (* (pow x 2) (cos (- (* 1/2 (PI)) y))) y)) (/ (cos (- (* 1/2 (PI)) y)) y))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) y)) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) y))) y)
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (cos (- (* 1/2 (PI)) y))) y)) (* 1/2 (/ (cos (- (* 1/2 (PI)) y)) y)))) (/ (cos (- (* 1/2 (PI)) y)) y))
(fma.f64 (/.f64 (fma.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) y)) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) y)))) y) (*.f64 x x) (/.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) y)) y))
(+ (* (pow x 2) (+ (* 1/2 (/ (cos (- (* 1/2 (PI)) y)) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (cos (- (* 1/2 (PI)) y))) y)) (* 1/24 (/ (cos (- (* 1/2 (PI)) y)) y)))))) (/ (cos (- (* 1/2 (PI)) y)) y))
(+.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) y)) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) y))) y) (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (fma.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) y)) #s(literal 1/24 binary64) (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) y)))) y)))
(* 1/24 x)
(*.f64 #s(literal 1/24 binary64) x)
(* x (+ 1/24 (* 1/720 (pow x 2))))
(*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 (sin.f64 y) y)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(* 1/720 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal -1/24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/24 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 6 binary64)))
(* 1/720 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal -1/24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(* 1/2 (/ (* (cos (- (* 1/2 (PI)) y)) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) y)) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/720 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/720 binary64))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (*.f64 #s(literal -1/12 binary64) y) y #s(literal 1/2 binary64)))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(fma.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 #s(literal 1/240 binary64) (*.f64 y y) #s(literal -1/12 binary64))) (*.f64 y y) (fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
(fma.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (*.f64 #s(literal -1/12 binary64) y) y #s(literal 1/2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 #s(literal -1/10080 binary64) (*.f64 y y) #s(literal 1/240 binary64)))))
(+ 1 (* -1/6 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(* -1/6 (pow y 2))
(*.f64 (*.f64 y y) #s(literal -1/6 binary64))
(* 1/2 (/ (* (cos (* 1/2 (PI))) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(/ (+ (* 1/2 (* y (* (sin (* 1/2 (PI))) (+ (exp x) (/ 1 (exp x)))))) (* 1/2 (* (cos (* 1/2 (PI))) (+ (exp x) (/ 1 (exp x)))))) y)
(*.f64 (/.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) y (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))))) y) #s(literal 1/2 binary64))
(/ (+ (* 1/2 (* (cos (* 1/2 (PI))) (+ (exp x) (/ 1 (exp x))))) (* y (+ (* -1/4 (* y (* (cos (* 1/2 (PI))) (+ (exp x) (/ 1 (exp x)))))) (* 1/2 (* (sin (* 1/2 (PI))) (+ (exp x) (/ 1 (exp x)))))))) y)
(/.f64 (fma.f64 (*.f64 y (*.f64 #s(literal -1/4 binary64) y)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) y (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))))) #s(literal 1/2 binary64))) y)
(/ (+ (* 1/2 (* (cos (* 1/2 (PI))) (+ (exp x) (/ 1 (exp x))))) (* y (+ (* 1/2 (* (sin (* 1/2 (PI))) (+ (exp x) (/ 1 (exp x))))) (* y (+ (* -1/4 (* (cos (* 1/2 (PI))) (+ (exp x) (/ 1 (exp x))))) (* -1/12 (* y (* (sin (* 1/2 (PI))) (+ (exp x) (/ 1 (exp x))))))))))) y)
(/.f64 (fma.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) y (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))))) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/12 binary64) y) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))))) (*.f64 y y))) y)
(cos (* 1/2 (PI)))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))
(+ (cos (* 1/2 (PI))) (* y (sin (* 1/2 (PI)))))
(fma.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) y (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))))
(+ (cos (* 1/2 (PI))) (* y (- (* -1/2 (* y (cos (* 1/2 (PI))))) (* -1 (sin (* 1/2 (PI)))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) y (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))))
(+ (cos (* 1/2 (PI))) (* y (- (* y (+ (* -1/2 (cos (* 1/2 (PI)))) (* -1/6 (* y (sin (* 1/2 (PI))))))) (* -1 (sin (* 1/2 (PI)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))))) y (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) y (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))))
(cos (* -1/2 (PI)))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))
(+ (cos (* -1/2 (PI))) (* -1 (* y (sin (* -1/2 (PI))))))
(fma.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) y (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))))
(+ (cos (* -1/2 (PI))) (* y (- (* -1/2 (* y (cos (* -1/2 (PI))))) (sin (* -1/2 (PI))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) y (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))))
(+ (cos (* -1/2 (PI))) (* y (- (* y (+ (* -1/2 (cos (* -1/2 (PI)))) (* 1/6 (* y (sin (* -1/2 (PI))))))) (sin (* -1/2 (PI))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))))) y (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) y (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))))
(* -1/2 (PI))
(*.f64 #s(literal -1/2 binary64) (PI.f64))
(+ y (* -1/2 (PI)))
(fma.f64 #s(literal -1/2 binary64) (PI.f64) y)
(* 1/120 (pow y 2))
(*.f64 #s(literal 1/120 binary64) (*.f64 y y))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y)
(cos (- (* 1/2 (PI)) y))
(cos.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) y))
(cos (+ y (* -1/2 (PI))))
(cos.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) y))
y
(* y (+ 1 (* -1/2 (/ (PI) y))))
(*.f64 (fma.f64 (/.f64 (PI.f64) y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y)
(* 1/2 (/ (* (cos (+ (* -1 y) (* 1/2 (PI)))) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) y)) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(cos (+ (* -1 y) (* 1/2 (PI))))
(cos.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) y))
(cos (- (* -1/2 (PI)) (* -1 y)))
(cos.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) y))
(* -1 (* y (- (* 1/2 (/ (PI) y)) 1)))
(*.f64 (neg.f64 y) (-.f64 (*.f64 (/.f64 (PI.f64) y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))

rewrite219.0ms (3.1%)

Memory
-3.5MiB live, 195.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056319
083313
1290313
21941313
08348309
Stop Event
iter limit
node limit
iter limit
Counts
22 → 236
Calls
Call 1
Inputs
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
#s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))
#s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(*.f64 #s(literal -1/6 binary64) (*.f64 y y))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos (+ (neg y) (/ (PI) 2))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) y))) (/.f64 (cosh.f64 x) y))
#s(approx (cos (+ (neg y) (/ (PI) 2))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) y)))
(cos.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) y))
(fma.f64 #s(literal -1/2 binary64) (PI.f64) y)
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x)
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
#s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(*.f64 #s(literal 1/120 binary64) (*.f64 y y))
Outputs
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
#s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64))))
(/.f64 (fma.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x)) (*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x)) #s(literal 1 binary64))) (*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x)) (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x)))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x)))
(fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (neg.f64 x)) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x))))
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x)) x))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 x x)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))))
(+.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x))) (pow.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x)) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)))))
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(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))))
(/.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))))
(fma.f64 (*.f64 #s(literal -1/6 binary64) (neg.f64 y)) (neg.f64 y) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) y) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))))
(-.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -1/6 binary64) y)) y))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 y y)) #s(literal -1/6 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(+.f64 (/.f64 (*.f64 #s(literal -1/216 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) (pow.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))
#s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(*.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) (neg.f64 y))) y)
(*.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y)
(*.f64 (*.f64 #s(literal 1/120 binary64) (neg.f64 y)) (neg.f64 y))
(*.f64 (*.f64 #s(literal 1/120 binary64) y) y)
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 1/120 binary64)))
(*.f64 #s(literal 1/120 binary64) (*.f64 y y))
(*.f64 (*.f64 y y) #s(literal 1/120 binary64))
(*.f64 y (fabs.f64 (*.f64 (neg.f64 y) #s(literal 1/120 binary64))))
(*.f64 y (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)))
(*.f64 y (*.f64 #s(literal 1/120 binary64) y))
(sqrt.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))))
(fabs.f64 (neg.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y))))
(fabs.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)))

eval91.0ms (1.3%)

Memory
-26.4MiB live, 97.6MiB allocated
Compiler

Compiled 12 819 to 1 489 computations (88.4% saved)

prune59.0ms (0.8%)

Memory
18.2MiB live, 57.5MiB allocated
Pruning

22 alts after pruning (14 fresh and 8 done)

PrunedKeptTotal
New3378345
Fresh268
Picked055
Done033
Total33922361
Accuracy
100.0%
Counts
361 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.6%
(/.f64 (*.f64 (*.f64 (cosh.f64 x) (sinh.f64 x)) (sin.f64 y)) (*.f64 (sinh.f64 x) y))
50.5%
(*.f64 (/.f64 (-.f64 (+.f64 (neg.f64 (neg.f64 (sin.f64 y))) (cos.f64 (-.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))))) (-.f64 (cos.f64 (-.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (sin.f64 y))))) #s(literal 2 binary64)) (/.f64 (cosh.f64 x) y))
49.2%
(*.f64 (sin.f64 y) (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y))
68.6%
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
65.0%
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
65.0%
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
65.0%
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
62.4%
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (* (+ (* (* x x) 1/720) 1/24) x) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
56.1%
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
29.6%
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
29.6%
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
30.5%
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
30.5%
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
75.8%
(*.f64 #s(approx (cos (+ (neg y) (/ (PI) 2))) (fma.f64 (cos.f64 y) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) (/.f64 (cosh.f64 x) y))
47.9%
(*.f64 #s(approx (cos (+ (neg y) (/ (PI) 2))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) y))) (/.f64 (cosh.f64 x) y))
49.4%
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y))
38.7%
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
37.4%
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
35.1%
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
31.7%
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y))))
8.5%
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y))))
8.5%
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
Compiler

Compiled 1 361 to 565 computations (58.5% saved)

regimes70.0ms (1%)

Memory
-5.2MiB live, 77.6MiB allocated
Counts
34 → 1
Calls
Call 1
Inputs
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (* (+ (* (* x x) 1/720) 1/24) x) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (sin.f64 y) (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(*.f64 #s(approx (cos (+ (neg y) (/ (PI) 2))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) y))) (/.f64 (cosh.f64 x) y))
(*.f64 (cos.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (cosh.f64 x) y))
(/.f64 (*.f64 (*.f64 (cosh.f64 x) (sinh.f64 x)) (sin.f64 y)) (*.f64 (sinh.f64 x) y))
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (cosh.f64 x) (sinh.f64 x))) (sinh.f64 x))
(*.f64 #s(approx (cos (+ (neg y) (/ (PI) 2))) (fma.f64 (cos.f64 y) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) (/.f64 (cosh.f64 x) y))
(*.f64 (/.f64 (-.f64 (+.f64 (neg.f64 (neg.f64 (sin.f64 y))) (cos.f64 (-.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))))) (-.f64 (cos.f64 (-.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (sin.f64 y))))) #s(literal 2 binary64)) (/.f64 (cosh.f64 x) y))
Outputs
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Calls

5 calls:

24.0ms
y
19.0ms
(cosh.f64 x)
9.0ms
x
9.0ms
(/.f64 (sin.f64 y) y)
8.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
99.9%1(cosh.f64 x)
99.9%1(/.f64 (sin.f64 y) y)
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes43.0ms (0.6%)

Memory
20.0MiB live, 59.0MiB allocated
Counts
26 → 3
Calls
Call 1
Inputs
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (* (+ (* (* x x) 1/720) 1/24) x) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (sin.f64 y) (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
Calls

5 calls:

13.0ms
(cosh.f64 x)
7.0ms
y
7.0ms
x
7.0ms
(/.f64 (sin.f64 y) y)
6.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Results
AccuracySegmentsBranch
95.6%3x
90.5%2y
99.9%3(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
89.4%2(cosh.f64 x)
90.5%2(/.f64 (sin.f64 y) y)
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes28.0ms (0.4%)

Memory
-14.2MiB live, 25.1MiB allocated
Counts
25 → 3
Calls
Call 1
Inputs
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (* (+ (* (* x x) 1/720) 1/24) x) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (sin.f64 y) (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
Outputs
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
Calls

2 calls:

7.0ms
x
6.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Results
AccuracySegmentsBranch
95.6%3x
89.4%3(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Compiler

Compiled 8 to 8 computations (0% saved)

regimes8.0ms (0.1%)

Memory
15.1MiB live, 15.1MiB allocated
Counts
24 → 3
Calls
Call 1
Inputs
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (* (+ (* (* x x) 1/720) 1/24) x) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (sin.f64 y) (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y))
Outputs
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
92.1%3x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes86.0ms (1.2%)

Memory
-22.7MiB live, 59.6MiB allocated
Counts
22 → 3
Calls
Call 1
Inputs
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (* (+ (* (* x x) 1/720) 1/24) x) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y))
Outputs
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
Calls

5 calls:

31.0ms
(cosh.f64 x)
6.0ms
x
6.0ms
y
6.0ms
(/.f64 (sin.f64 y) y)
5.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Results
AccuracySegmentsBranch
87.7%3(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
85.7%2(cosh.f64 x)
74.5%2y
78.4%3(/.f64 (sin.f64 y) y)
88.4%3x
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes32.0ms (0.5%)

Memory
16.1MiB live, 55.3MiB allocated
Counts
21 → 3
Calls
Call 1
Inputs
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (* (+ (* (* x x) 1/720) 1/24) x) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
Calls

5 calls:

8.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
6.0ms
y
6.0ms
x
6.0ms
(/.f64 (sin.f64 y) y)
4.0ms
(cosh.f64 x)
Results
AccuracySegmentsBranch
65.0%1y
75.9%3(/.f64 (sin.f64 y) y)
65.0%1(cosh.f64 x)
67.3%2(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
67.7%2x
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes8.0ms (0.1%)

Memory
-23.9MiB live, 15.3MiB allocated
Counts
18 → 3
Calls
Call 1
Inputs
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (* (+ (* (* x x) 1/720) 1/24) x) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
Calls

1 calls:

7.0ms
(/.f64 (sin.f64 y) y)
Results
AccuracySegmentsBranch
75.9%3(/.f64 (sin.f64 y) y)
Compiler

Compiled 4 to 4 computations (0% saved)

regimes6.0ms (0.1%)

Memory
15.9MiB live, 15.9MiB allocated
Counts
17 → 3
Calls
Call 1
Inputs
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (* (+ (* (* x x) 1/720) 1/24) x) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
Calls

1 calls:

5.0ms
(/.f64 (sin.f64 y) y)
Results
AccuracySegmentsBranch
73.2%3(/.f64 (sin.f64 y) y)
Compiler

Compiled 4 to 4 computations (0% saved)

regimes6.0ms (0.1%)

Memory
13.4MiB live, 13.4MiB allocated
Counts
16 → 3
Calls
Call 1
Inputs
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (* (+ (* (* x x) 1/720) 1/24) x) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
Calls

1 calls:

4.0ms
(/.f64 (sin.f64 y) y)
Results
AccuracySegmentsBranch
73.0%3(/.f64 (sin.f64 y) y)
Compiler

Compiled 4 to 4 computations (0% saved)

regimes7.0ms (0.1%)

Memory
-29.7MiB live, 12.2MiB allocated
Counts
14 → 3
Calls
Call 1
Inputs
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (* (+ (* (* x x) 1/720) 1/24) x) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
Calls

1 calls:

6.0ms
(/.f64 (sin.f64 y) y)
Results
AccuracySegmentsBranch
71.8%3(/.f64 (sin.f64 y) y)
Compiler

Compiled 4 to 4 computations (0% saved)

regimes19.0ms (0.3%)

Memory
2.6MiB live, 41.8MiB allocated
Counts
11 → 3
Calls
Call 1
Inputs
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
Calls

5 calls:

4.0ms
(cosh.f64 x)
4.0ms
y
4.0ms
x
3.0ms
(/.f64 (sin.f64 y) y)
3.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Results
AccuracySegmentsBranch
56.1%1y
56.1%1(cosh.f64 x)
56.1%1(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
56.1%1x
65.5%3(/.f64 (sin.f64 y) y)
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes16.0ms (0.2%)

Memory
-2.6MiB live, 36.4MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
Outputs
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
Calls

5 calls:

4.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
3.0ms
x
3.0ms
y
3.0ms
(/.f64 (sin.f64 y) y)
2.0ms
(cosh.f64 x)
Results
AccuracySegmentsBranch
39.8%2y
56.4%3(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
56.3%2(cosh.f64 x)
57.4%2x
48.9%2(/.f64 (sin.f64 y) y)
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes9.0ms (0.1%)

Memory
18.3MiB live, 18.3MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
Outputs
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
Calls

4 calls:

2.0ms
x
2.0ms
(/.f64 (sin.f64 y) y)
2.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
2.0ms
(cosh.f64 x)
Results
AccuracySegmentsBranch
44.5%2(/.f64 (sin.f64 y) y)
44.5%2(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
37.4%1(cosh.f64 x)
37.4%1x
Compiler

Compiled 14 to 15 computations (-7.1% saved)

regimes13.0ms (0.2%)

Memory
-15.3MiB live, 23.6MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
Outputs
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
Calls

5 calls:

5.0ms
y
2.0ms
x
2.0ms
(/.f64 (sin.f64 y) y)
2.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
2.0ms
(cosh.f64 x)
Results
AccuracySegmentsBranch
35.1%1(cosh.f64 x)
35.1%1x
35.1%1y
35.1%1(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
35.1%1(/.f64 (sin.f64 y) y)
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes7.0ms (0.1%)

Memory
18.9MiB live, 18.9MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y))))
Outputs
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
Calls

5 calls:

1.0ms
x
1.0ms
y
1.0ms
(/.f64 (sin.f64 y) y)
1.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
1.0ms
(cosh.f64 x)
Results
AccuracySegmentsBranch
8.5%1y
8.5%1x
8.5%1(cosh.f64 x)
8.5%1(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
8.5%1(/.f64 (sin.f64 y) y)
Compiler

Compiled 15 to 17 computations (-13.3% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9905837713090716
0.9999992002776871
0.0ms
-inf
-1.3337235222653281e-11
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch23.0ms (0.3%)

Memory
-0.2MiB live, 41.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
1.6820881103529463e+149
1.6474094579788933e+153
7.0ms
2.4867915177922217e-24
2.909768567739246e-24
Samples
14.0ms176×0valid
Compiler

Compiled 312 to 269 computations (13.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-sin: 6.0ms (59.8% of total)
ival-cosh: 2.0ms (19.9% of total)
ival-div: 1.0ms (10% of total)
ival-mult: 1.0ms (10% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch12.0ms (0.2%)

Memory
-19.8MiB live, 18.8MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
Steps
TimeLeftRight
10.0ms
8.097047206856022e+212
3.6898160729180045e+214
0.0ms
2.4867915177922217e-24
2.909768567739246e-24
Samples
5.0ms80×0valid
Compiler

Compiled 328 to 262 computations (20.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-sin: 2.0ms (55.3% of total)
ival-div: 1.0ms (27.6% of total)
ival-mult: 1.0ms (27.6% of total)
ival-cosh: 1.0ms (27.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
3.7MiB live, 3.7MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
Steps
TimeLeftRight
1.0ms
8.097047206856022e+212
3.6898160729180045e+214
1.0ms
2.4867915177922217e-24
2.909768567739246e-24
Compiler

Compiled 464 to 334 computations (28% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999992002776871
0.9999999900861729
0.0ms
-1.3251824501852487e-293
6.909763421025305e-309
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999992002776871
0.9999999900861729
0.0ms
-1.3251824501852487e-293
6.909763421025305e-309
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999992002776871
0.9999999900861729
0.0ms
-1.3251824501852487e-293
6.909763421025305e-309
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.818015916073633e-18
0.9859888166806173
0.0ms
8.484262255775821e-301
7.4936742400767254e-298
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999992002776871
0.9999999900861729
0.0ms
-1.3251824501852487e-293
6.909763421025305e-309
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999992002776871
0.9999999900861729
0.0ms
-1.3251824501852487e-293
6.909763421025305e-309
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch9.0ms (0.1%)

Memory
15.1MiB live, 15.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
9.0ms
2.1262257707404862e+40
6.434269971790661e+40
Samples
5.0ms80×0valid
Compiler

Compiled 275 to 201 computations (26.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-div: 1.0ms (29.1% of total)
ival-cosh: 1.0ms (29.1% of total)
ival-sin: 1.0ms (29.1% of total)
ival-true: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.0604619907022708e-278
6.909763421025305e-309
Compiler

Compiled 10 to 11 computations (-10% saved)

simplify60.0ms (0.8%)

Memory
-3.3MiB live, 73.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0112922
1152922
2260922
3540922
41107922
54963922
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 8962163258467287/9007199254740992 binary64)) #s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))))
(if (<=.f64 x #s(literal 1973637728141443/680564733841876926926749214863536422912 binary64)) #s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) (if (<=.f64 x #s(literal 1619999999999999995846698598286001787053435314585284215892417337880410412185096674105256855354001429248646214040457054561931891808406197936918325354299392 binary64)) (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))))
(if (<=.f64 x #s(literal 1973637728141443/680564733841876926926749214863536422912 binary64)) #s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) (if (<=.f64 x #s(literal 24999999999999997665099234112762351913197274097350526579672542253557706854378835045871811095074526706879512759003853565696940719906951041412233558555804237163226498480136726249282706422947688478956384193400868438016 binary64)) (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))))
(if (<=.f64 x #s(literal 1973637728141443/680564733841876926926749214863536422912 binary64)) #s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) (if (<=.f64 x #s(literal 24999999999999997665099234112762351913197274097350526579672542253557706854378835045871811095074526706879512759003853565696940719906951041412233558555804237163226498480136726249282706422947688478956384193400868438016 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -449423283715579/44942328371557897693232629769725618340449424473557664318357520289433168951375240783177119330601884005280028469967848339414697442203604155623211857659868531094441973356216371319075554900311523529863270738021251442209537670585615720368478277635206809290837627671146574559986811484619929076208839082406056034304 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 9007194751141365/9007199254740992 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -449423283715579/44942328371557897693232629769725618340449424473557664318357520289433168951375240783177119330601884005280028469967848339414697442203604155623211857659868531094441973356216371319075554900311523529863270738021251442209537670585615720368478277635206809290837627671146574559986811484619929076208839082406056034304 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 9007194751141365/9007199254740992 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -449423283715579/44942328371557897693232629769725618340449424473557664318357520289433168951375240783177119330601884005280028469967848339414697442203604155623211857659868531094441973356216371319075554900311523529863270738021251442209537670585615720368478277635206809290837627671146574559986811484619929076208839082406056034304 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 9007194751141365/9007199254740992 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 6032057205060441/6032057205060440848842124543157735677050252251748505781796615064961622344493727293370973578138265743708225425014400837164813540499979063179105919597766951022193355091707896034850684039059079180396788349106095584290087446076413771468940477241550670753145517602931224392424029547429993824129889235158145614364972941312 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 6490371073168535/1298074214633706907132624082305024 binary64)) (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -449423283715579/44942328371557897693232629769725618340449424473557664318357520289433168951375240783177119330601884005280028469967848339414697442203604155623211857659868531094441973356216371319075554900311523529863270738021251442209537670585615720368478277635206809290837627671146574559986811484619929076208839082406056034304 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 9007194751141365/9007199254740992 binary64)) #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -449423283715579/44942328371557897693232629769725618340449424473557664318357520289433168951375240783177119330601884005280028469967848339414697442203604155623211857659868531094441973356216371319075554900311523529863270738021251442209537670585615720368478277635206809290837627671146574559986811484619929076208839082406056034304 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 9007194751141365/9007199254740992 binary64)) #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))))
(if (<=.f64 x #s(literal 42000000000000002001256811162192905764864 binary64)) #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -6386688990511103/638668899051110339730039268171788341141584403339346413280815117579907805398068501051186548957643424348589582990141598478071180156285949971436534975451146054502401815344347416485612070862196155898449074158254055677865859345638678524444433685903374130402278690200241933325554718473710083176923136 binary64)) #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
Outputs
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 8962163258467287/9007199254740992 binary64)) #s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))))
(if (<=.f64 x #s(literal 1973637728141443/680564733841876926926749214863536422912 binary64)) #s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) (if (<=.f64 x #s(literal 1619999999999999995846698598286001787053435314585284215892417337880410412185096674105256855354001429248646214040457054561931891808406197936918325354299392 binary64)) (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))))
(if (<=.f64 x #s(literal 1973637728141443/680564733841876926926749214863536422912 binary64)) #s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) (if (<=.f64 x #s(literal 24999999999999997665099234112762351913197274097350526579672542253557706854378835045871811095074526706879512759003853565696940719906951041412233558555804237163226498480136726249282706422947688478956384193400868438016 binary64)) (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))))
(if (<=.f64 x #s(literal 1973637728141443/680564733841876926926749214863536422912 binary64)) #s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) (if (<=.f64 x #s(literal 24999999999999997665099234112762351913197274097350526579672542253557706854378835045871811095074526706879512759003853565696940719906951041412233558555804237163226498480136726249282706422947688478956384193400868438016 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -449423283715579/44942328371557897693232629769725618340449424473557664318357520289433168951375240783177119330601884005280028469967848339414697442203604155623211857659868531094441973356216371319075554900311523529863270738021251442209537670585615720368478277635206809290837627671146574559986811484619929076208839082406056034304 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 9007194751141365/9007199254740992 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -449423283715579/44942328371557897693232629769725618340449424473557664318357520289433168951375240783177119330601884005280028469967848339414697442203604155623211857659868531094441973356216371319075554900311523529863270738021251442209537670585615720368478277635206809290837627671146574559986811484619929076208839082406056034304 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 9007194751141365/9007199254740992 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -449423283715579/44942328371557897693232629769725618340449424473557664318357520289433168951375240783177119330601884005280028469967848339414697442203604155623211857659868531094441973356216371319075554900311523529863270738021251442209537670585615720368478277635206809290837627671146574559986811484619929076208839082406056034304 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 9007194751141365/9007199254740992 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))))
(if (or (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -449423283715579/44942328371557897693232629769725618340449424473557664318357520289433168951375240783177119330601884005280028469967848339414697442203604155623211857659868531094441973356216371319075554900311523529863270738021251442209537670585615720368478277635206809290837627671146574559986811484619929076208839082406056034304 binary64)) (not (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 9007194751141365/9007199254740992 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 6032057205060441/6032057205060440848842124543157735677050252251748505781796615064961622344493727293370973578138265743708225425014400837164813540499979063179105919597766951022193355091707896034850684039059079180396788349106095584290087446076413771468940477241550670753145517602931224392424029547429993824129889235158145614364972941312 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 6490371073168535/1298074214633706907132624082305024 binary64)) (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))))
(if (or (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 6032057205060441/6032057205060440848842124543157735677050252251748505781796615064961622344493727293370973578138265743708225425014400837164813540499979063179105919597766951022193355091707896034850684039059079180396788349106095584290087446076413771468940477241550670753145517602931224392424029547429993824129889235158145614364972941312 binary64)) (not (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 6490371073168535/1298074214633706907132624082305024 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -449423283715579/44942328371557897693232629769725618340449424473557664318357520289433168951375240783177119330601884005280028469967848339414697442203604155623211857659868531094441973356216371319075554900311523529863270738021251442209537670585615720368478277635206809290837627671146574559986811484619929076208839082406056034304 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 9007194751141365/9007199254740992 binary64)) #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))))
(if (or (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -449423283715579/44942328371557897693232629769725618340449424473557664318357520289433168951375240783177119330601884005280028469967848339414697442203604155623211857659868531094441973356216371319075554900311523529863270738021251442209537670585615720368478277635206809290837627671146574559986811484619929076208839082406056034304 binary64)) (not (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 9007194751141365/9007199254740992 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -449423283715579/44942328371557897693232629769725618340449424473557664318357520289433168951375240783177119330601884005280028469967848339414697442203604155623211857659868531094441973356216371319075554900311523529863270738021251442209537670585615720368478277635206809290837627671146574559986811484619929076208839082406056034304 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 9007194751141365/9007199254740992 binary64)) #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))))
(if (or (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -449423283715579/44942328371557897693232629769725618340449424473557664318357520289433168951375240783177119330601884005280028469967848339414697442203604155623211857659868531094441973356216371319075554900311523529863270738021251442209537670585615720368478277635206809290837627671146574559986811484619929076208839082406056034304 binary64)) (not (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 9007194751141365/9007199254740992 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal 42000000000000002001256811162192905764864 binary64)) #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -6386688990511103/638668899051110339730039268171788341141584403339346413280815117579907805398068501051186548957643424348589582990141598478071180156285949971436534975451146054502401815344347416485612070862196155898449074158254055677865859345638678524444433685903374130402278690200241933325554718473710083176923136 binary64)) #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))

soundness930.0ms (13%)

Memory
-27.7MiB live, 774.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0198904
1723844
23120835
08049776
040250
068244
1252244
21697244
08475244
083332
1320302
21435282
37647278
08263252
0118493
1423457
21800433
37187427
08108394
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 1 663 to 680 computations (59.1% saved)

preprocess205.0ms (2.9%)

Memory
33.6MiB live, 191.0MiB allocated
Remove

(abs x)

(abs y)

Compiler

Compiled 2 496 to 546 computations (78.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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