Linear.Quaternion:$csinh from linear-1.19.1.3

Time bar (total: 10.1s)

start0.0ms (0%)

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

analyze16.0ms (0.2%)

Memory
27.6MiB live, 27.6MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
93.8%93.7%6.2%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
96.9%96.8%3.1%0.1%0%0%0%12
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.2s (11.8%)

Memory
-9.9MiB live, 1 373.5MiB allocated; 227ms collecting garbage
Samples
813.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 527.0ms
ival-sin: 237.0ms (45% of total)
ival-cosh: 161.0ms (30.5% of total)
ival-div: 67.0ms (12.7% of total)
ival-mult: 50.0ms (9.5% of total)
ival-true: 6.0ms (1.1% of total)
adjust: 3.0ms (0.6% of total)
ival-assert: 3.0ms (0.6% of total)
Bogosity

explain3.3s (32.9%)

Memory
43.8MiB live, 202.0MiB allocated; 37ms collecting garbage
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
89.0ms512×0valid
Compiler

Compiled 45 to 22 computations (51.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 75.0ms
ival-sin: 55.0ms (73.1% of total)
ival-cosh: 12.0ms (15.9% of total)
ival-div: 4.0ms (5.3% of total)
ival-mult: 3.0ms (4% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess296.0ms (2.9%)

Memory
197.7MiB live, 317.9MiB allocated; 99ms collecting garbage
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
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
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)

simplify130.0ms (1.3%)

Memory
-19.5MiB live, 126.2MiB allocated; 13ms collecting garbage
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

localize29.0ms (0.3%)

Memory
-8.0MiB live, 37.9MiB allocated; 3ms collecting garbage
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)
accuracy0.13671875
(/.f64 (sin.f64 y) y)
Samples
23.0ms256×0valid
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 (48.9% of total)
ival-cosh: 3.0ms (24.4% of total)
ival-div: 2.0ms (16.3% of total)
ival-mult: 1.0ms (8.1% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
11.6MiB live, 11.6MiB allocated; 0ms collecting garbage
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))

simplify204.0ms (2%)

Memory
0.7MiB live, 143.7MiB allocated; 14ms collecting garbage
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)

rewrite188.0ms (1.9%)

Memory
29.5MiB live, 170.3MiB allocated; 19ms collecting garbage
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)))

eval26.0ms (0.3%)

Memory
-36.2MiB live, 54.5MiB allocated; 8ms collecting garbage
Compiler

Compiled 4 041 to 712 computations (82.4% saved)

prune8.0ms (0.1%)

Memory
24.9MiB live, 24.9MiB allocated; 0ms collecting garbage
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1999208
Fresh000
Picked101
Done000
Total2009209
Accuracy
100.0%
Counts
209 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
37.0%
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.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 (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)))))))
44.3%
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (cosh.f64 x) (sinh.f64 x))) (sinh.f64 x))
43.6%
(/.f64 (*.f64 (*.f64 (cosh.f64 x) (sinh.f64 x)) (sin.f64 y)) (*.f64 (sinh.f64 x) y))
99.4%
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
53.7%
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (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))))
64.8%
(*.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))))
56.3%
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
79.2%
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
57.6%
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y))
Compiler

Compiled 408 to 216 computations (47.1% saved)

simplify174.0ms (1.7%)

Memory
-221.3MiB live, 260.3MiB allocated; 42ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 y)
cost-diff0
(/.f64 (sin.f64 y) y)
cost-diff0
(*.f64 (/.f64 (sin.f64 y) y) (*.f64 (cosh.f64 x) (sinh.f64 x)))
cost-diff6
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (cosh.f64 x) (sinh.f64 x))) (sinh.f64 x))
cost-diff0
(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))
cost-diff0
#s(approx (/ (sin y) y) (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)))
cost-diff0
(cosh.f64 x)
cost-diff0
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (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))))
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
(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
034221
057215
1107215
2280215
3957215
43715215
08203215
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 #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 (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))))
(cosh.f64 x)
x
#s(approx (/ (sin y) y) (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)))
(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))
(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)))
(pow.f64 y #s(literal 4 binary64))
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 #s(literal 1/120 binary64) (*.f64 y y))
#s(literal 1/120 binary64)
(*.f64 y y)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (cosh.f64 x) (sinh.f64 x))) (sinh.f64 x))
(*.f64 (/.f64 (sin.f64 y) y) (*.f64 (cosh.f64 x) (sinh.f64 x)))
(/.f64 (sin.f64 y) y)
(sin.f64 y)
y
(*.f64 (cosh.f64 x) (sinh.f64 x))
(cosh.f64 x)
x
(sinh.f64 x)
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 #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 (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))))
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #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 (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)))
#s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (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))
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 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)))
(fma.f64 #s(literal -1/5040 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(pow.f64 y #s(literal 4 binary64))
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 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/120 binary64) (*.f64 y y))
(*.f64 (*.f64 y y) #s(literal 1/120 binary64))
#s(literal 1/120 binary64)
(*.f64 y y)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (cosh.f64 x) (sinh.f64 x))) (sinh.f64 x))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(*.f64 (/.f64 (sin.f64 y) y) (*.f64 (cosh.f64 x) (sinh.f64 x)))
(*.f64 (*.f64 (sinh.f64 x) (cosh.f64 x)) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) y)
(sin.f64 y)
y
(*.f64 (cosh.f64 x) (sinh.f64 x))
(*.f64 (sinh.f64 x) (cosh.f64 x))
(cosh.f64 x)
x
(sinh.f64 x)

localize93.0ms (0.9%)

Memory
-43.6MiB live, 194.9MiB allocated; 10ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(*.f64 (cosh.f64 x) (sinh.f64 x))
accuracy0.0390625
(*.f64 (/.f64 (sin.f64 y) y) (*.f64 (cosh.f64 x) (sinh.f64 x)))
accuracy0.0703125
(/.f64 (sin.f64 y) y)
accuracy9.071924964459411
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (cosh.f64 x) (sinh.f64 x))) (sinh.f64 x))
accuracy0.01171875
(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))
accuracy0.05078125
(*.f64 #s(literal 1/120 binary64) (*.f64 y y))
accuracy9.515546561547826
(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)))
accuracy18.250264744376953
#s(approx (/ (sin y) y) (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)))
accuracy0.0
(*.f64 x x)
accuracy0.0
(sin.f64 y)
accuracy0.0703125
(/.f64 (sin.f64 y) y)
accuracy0.9847640835343094
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
accuracy0.0
(sin.f64 y)
accuracy0.0703125
(/.f64 (sin.f64 y) y)
accuracy1.255071586525072
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y))
accuracy0.0
(sin.f64 y)
accuracy0.0
(cosh.f64 x)
accuracy0.0078125
(/.f64 (cosh.f64 x) y)
accuracy0.36046309589508563
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
Samples
38.0ms150×0valid
29.0ms106×0exit
Compiler

Compiled 172 to 31 computations (82% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-mult: 14.0ms (29.1% of total)
const: 9.0ms (18.7% of total)
ival-sin: 7.0ms (14.6% of total)
ival-div: 6.0ms (12.5% of total)
ival-add: 4.0ms (8.3% of total)
ival-cosh: 3.0ms (6.2% of total)
ival-pow: 3.0ms (6.2% of total)
ival-sinh: 2.0ms (4.2% of total)
ival-sub: 1.0ms (2.1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series29.0ms (0.3%)

Memory
37.4MiB live, 80.6MiB allocated; 4ms collecting garbage
Counts
18 → 53
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 #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 (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))))
#s(approx (/ (sin y) y) (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)))
(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))
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (cosh.f64 x) (sinh.f64 x))) (sinh.f64 x))
(*.f64 (/.f64 (sin.f64 y) y) (*.f64 (cosh.f64 x) (sinh.f64 x)))
(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 #s(literal 1/120 binary64) (*.f64 y y))
(*.f64 (cosh.f64 x) (sinh.f64 x))
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)
(/ (* x (sin y)) y)
(* x (+ (* (pow x 2) (+ (* 1/6 (/ (sin y) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)))
(* x (+ (* (pow x 2) (+ (* 1/6 (/ (sin y) y)) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/120 (/ (sin y) y)) (+ (* 1/24 (/ (sin y) y)) (* 1/12 (/ (sin y) y)))))))) (/ (sin y) y)))
(* x (+ (* (pow x 2) (+ (* 1/6 (/ (sin y) y)) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/120 (/ (sin y) y)) (+ (* 1/24 (/ (sin y) y)) (+ (* 1/12 (/ (sin y) y)) (* (pow x 2) (+ (* 1/5040 (/ (sin y) y)) (+ (* 1/720 (/ (sin y) y)) (+ (* 1/240 (/ (sin y) y)) (* 1/144 (/ (sin y) y))))))))))))) (/ (sin y) y)))
x
(* x (+ 1 (* 2/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 2/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/15 (* 4/315 (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))))
(* 1/4 (/ (* (sin y) (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) y))
(* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (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)))))))))
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)))
(+ (* -1/24 (* (pow y 2) (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))) (* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))))
(+ (* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (* (pow y 2) (+ (* -1/24 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (* 1/480 (* (pow y 2) (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))))))
(+ (* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (* (pow y 2) (+ (* -1/24 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (* (pow y 2) (+ (* -1/20160 (* (pow y 2) (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))) (* 1/480 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))))))))
-1/6
(- (* 1/120 (pow y 2)) 1/6)
(- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)
(* 1/120 (pow y 2))
(sin y)
(* -1/5040 (pow y 6))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* (pow y 6) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* -1/5040 (pow y 4))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
Calls

6 calls:

TimeVariablePointExpression
7.0ms
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)) (cosh x) (+ (* (* x x) 1/2) 1) (* x x) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) (* y y)) 1) (/ (* (/ (sin y) y) (* (cosh x) (sinh x))) (sinh x)) (* (/ (sin y) y) (* (cosh x) (sinh x))) (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) (* 1/120 (* y y)) (* (cosh x) (sinh x)))
5.0ms
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)) (cosh x) (+ (* (* x x) 1/2) 1) (* x x) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) (* y y)) 1) (/ (* (/ (sin y) y) (* (cosh x) (sinh x))) (sinh x)) (* (/ (sin y) y) (* (cosh x) (sinh x))) (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) (* 1/120 (* y y)) (* (cosh x) (sinh x)))
5.0ms
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)) (cosh x) (+ (* (* x x) 1/2) 1) (* x x) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) (* y y)) 1) (/ (* (/ (sin y) y) (* (cosh x) (sinh x))) (sinh x)) (* (/ (sin y) y) (* (cosh x) (sinh x))) (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) (* 1/120 (* y y)) (* (cosh x) (sinh x)))
4.0ms
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)) (cosh x) (+ (* (* x x) 1/2) 1) (* x x) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) (* y y)) 1) (/ (* (/ (sin y) y) (* (cosh x) (sinh x))) (sinh x)) (* (/ (sin y) y) (* (cosh x) (sinh x))) (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) (* 1/120 (* y y)) (* (cosh x) (sinh x)))
4.0ms
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)) (cosh x) (+ (* (* x x) 1/2) 1) (* x x) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) (* y y)) 1) (/ (* (/ (sin y) y) (* (cosh x) (sinh x))) (sinh x)) (* (/ (sin y) y) (* (cosh x) (sinh x))) (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) (* 1/120 (* y y)) (* (cosh x) (sinh x)))

simplify182.0ms (1.8%)

Memory
14.5MiB live, 195.2MiB allocated; 42ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0204896
1764766
23385725
08215673
Stop Event
iter limit
node limit
Counts
53 → 51
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)
(/ (* x (sin y)) y)
(* x (+ (* (pow x 2) (+ (* 1/6 (/ (sin y) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)))
(* x (+ (* (pow x 2) (+ (* 1/6 (/ (sin y) y)) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/120 (/ (sin y) y)) (+ (* 1/24 (/ (sin y) y)) (* 1/12 (/ (sin y) y)))))))) (/ (sin y) y)))
(* x (+ (* (pow x 2) (+ (* 1/6 (/ (sin y) y)) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/120 (/ (sin y) y)) (+ (* 1/24 (/ (sin y) y)) (+ (* 1/12 (/ (sin y) y)) (* (pow x 2) (+ (* 1/5040 (/ (sin y) y)) (+ (* 1/720 (/ (sin y) y)) (+ (* 1/240 (/ (sin y) y)) (* 1/144 (/ (sin y) y))))))))))))) (/ (sin y) y)))
x
(* x (+ 1 (* 2/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 2/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/15 (* 4/315 (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))))
(* 1/4 (/ (* (sin y) (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) y))
(* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (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)))))))))
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)))
(+ (* -1/24 (* (pow y 2) (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))) (* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))))
(+ (* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (* (pow y 2) (+ (* -1/24 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (* 1/480 (* (pow y 2) (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))))))
(+ (* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (* (pow y 2) (+ (* -1/24 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (* (pow y 2) (+ (* -1/20160 (* (pow y 2) (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))) (* 1/480 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))))))))
-1/6
(- (* 1/120 (pow y 2)) 1/6)
(- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)
(* 1/120 (pow y 2))
(sin y)
(* -1/5040 (pow y 6))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* (pow y 6) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* -1/5040 (pow y 4))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
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))
(fma.f64 (*.f64 (/.f64 (sin.f64 y) y) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (*.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))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (/.f64 (sin.f64 y) y) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 y) 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))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) y) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #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)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(* x (+ (* (pow x 2) (+ (* 1/6 (/ (sin y) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2/3 binary64) (/.f64 (sin.f64 y) y)) (*.f64 (/.f64 (sin.f64 y) y) x))
(* x (+ (* (pow x 2) (+ (* 1/6 (/ (sin y) y)) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/120 (/ (sin y) y)) (+ (* 1/24 (/ (sin y) y)) (* 1/12 (/ (sin y) y)))))))) (/ (sin y) y)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) y) #s(literal 2/15 binary64)) x) x (*.f64 #s(literal 2/3 binary64) (/.f64 (sin.f64 y) y))) (*.f64 (/.f64 (sin.f64 y) y) x))
(* x (+ (* (pow x 2) (+ (* 1/6 (/ (sin y) y)) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/120 (/ (sin y) y)) (+ (* 1/24 (/ (sin y) y)) (+ (* 1/12 (/ (sin y) y)) (* (pow x 2) (+ (* 1/5040 (/ (sin y) y)) (+ (* 1/720 (/ (sin y) y)) (+ (* 1/240 (/ (sin y) y)) (* 1/144 (/ (sin y) y))))))))))))) (/ (sin y) y)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/3 binary64) (/.f64 (sin.f64 y) y) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) y) #s(literal 4/315 binary64)) x) x (*.f64 (/.f64 (sin.f64 y) y) #s(literal 2/15 binary64))) (*.f64 x x))) (*.f64 (/.f64 (sin.f64 y) y) x))
x
(* x (+ 1 (* 2/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 2/3 (* 2/15 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/15 (* 4/315 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 4/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 y)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(*.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 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))
(* 1/4 (/ (* (sin y) (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) y))
(*.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) (/.f64 (sin.f64 y) y)) #s(literal 1/4 binary64))
(* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 1/4 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 y y) #s(literal -1/12 binary64) #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 (*.f64 y y) #s(literal 1/240 binary64) #s(literal -1/12 binary64))) (*.f64 y y) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
(fma.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))) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 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 (*.f64 y y) #s(literal 1/120 binary64)) #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 (*.f64 y y) #s(literal 1/120 binary64)) #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))
(+ (* -1/24 (* (pow y 2) (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))) (* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))))
(*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/24 binary64) (*.f64 y y) #s(literal 1/4 binary64)))
(+ (* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (* (pow y 2) (+ (* -1/24 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (* 1/480 (* (pow y 2) (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))))))
(fma.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/480 binary64) (*.f64 y y) #s(literal -1/24 binary64))) (*.f64 y y) (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(+ (* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (* (pow y 2) (+ (* -1/24 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (* (pow y 2) (+ (* -1/20160 (* (pow y 2) (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))) (* 1/480 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))))))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/20160 binary64) (*.f64 y y) #s(literal 1/480 binary64))) (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/24 binary64) (*.f64 y y) #s(literal 1/4 binary64))))
-1/6
#s(literal -1/6 binary64)
(- (* 1/120 (pow y 2)) 1/6)
(-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)
(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)))
(* 1/120 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/120 binary64))
(sin y)
(sin.f64 y)
(* -1/5040 (pow y 6))
(*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/5040 binary64))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))) (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/5040 binary64))) (pow.f64 y #s(literal 6 binary64)))
(* -1/5040 (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64)))

rewrite276.0ms (2.7%)

Memory
-29.9MiB live, 217.9MiB allocated; 76ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034172
057166
1172166
21049166
08240166
Stop Event
iter limit
node limit
iter limit
Counts
18 → 452
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 #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 (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))))
#s(approx (/ (sin y) y) (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)))
(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))
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (cosh.f64 x) (sinh.f64 x))) (sinh.f64 x))
(*.f64 (/.f64 (sin.f64 y) y) (*.f64 (cosh.f64 x) (sinh.f64 x)))
(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 #s(literal 1/120 binary64) (*.f64 y y))
(*.f64 (cosh.f64 x) (sinh.f64 x))
Outputs
(*.f64 (/.f64 (*.f64 (sin.f64 y) (sinh.f64 x)) y) (/.f64 (cosh.f64 x) (sinh.f64 x)))
(*.f64 (/.f64 (*.f64 (sinh.f64 x) (cosh.f64 x)) y) (/.f64 (sin.f64 y) (sinh.f64 x)))
(*.f64 (*.f64 (/.f64 (/.f64 (sin.f64 y) y) #s(literal 2 binary64)) (cosh.f64 x)) #s(literal 2 binary64))
(*.f64 (*.f64 (sinh.f64 x) (cosh.f64 x)) (/.f64 (/.f64 (sin.f64 y) y) (sinh.f64 x)))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)) (/.f64 (sinh.f64 x) (sinh.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 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 (sin.f64 y) y))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x))) (neg.f64 (neg.f64 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 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (neg.f64 (sin.f64 y)))) (neg.f64 (*.f64 #s(literal 2 binary64) (neg.f64 y))))
(/.f64 (neg.f64 (*.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) (sinh.f64 (neg.f64 x)))) (neg.f64 (*.f64 (neg.f64 y) (sinh.f64 x))))
(/.f64 (*.f64 (neg.f64 (neg.f64 (sin.f64 y))) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) (*.f64 (neg.f64 (neg.f64 y)) #s(literal -2 binary64)))
(/.f64 (*.f64 (neg.f64 (neg.f64 (sin.f64 y))) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 (neg.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 (neg.f64 (sin.f64 y)))) (*.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 y))))
(/.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 #s(literal 2 binary64) (cosh.f64 x)) (neg.f64 (neg.f64 (sin.f64 y)))) (*.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 y))))
(/.f64 (*.f64 (*.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x)) (neg.f64 (neg.f64 (sin.f64 y)))) (*.f64 (sinh.f64 (neg.f64 x)) (neg.f64 (neg.f64 y))))
(/.f64 (*.f64 (*.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x)) (neg.f64 (sin.f64 y))) (*.f64 (sinh.f64 (neg.f64 x)) (neg.f64 y)))
(/.f64 (*.f64 (*.f64 (sinh.f64 x) (cosh.f64 x)) (neg.f64 (neg.f64 (sin.f64 y)))) (*.f64 (sinh.f64 x) (neg.f64 (neg.f64 y))))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (cosh.f64 x)) (/.f64 (sin.f64 y) y)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (sinh.f64 x)) (/.f64 (sin.f64 y) y)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
(/.f64 (*.f64 (*.f64 (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (sin.f64 y) y)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
(/.f64 (*.f64 (*.f64 (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (/.f64 (sin.f64 y) y)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (sin.f64 y) y)) (*.f64 #s(literal 4 binary64) (sinh.f64 x)))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (/.f64 (sin.f64 y) y)) (*.f64 #s(literal 4 binary64) (sinh.f64 x)))
(/.f64 (*.f64 (neg.f64 (neg.f64 (sin.f64 y))) (*.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))) (*.f64 (neg.f64 (neg.f64 y)) (sinh.f64 (neg.f64 x))))
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(/.f64 (neg.f64 (fma.f64 #s(literal -1/128024064000 binary64) (pow.f64 y #s(literal 12 binary64)) (pow.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 y #s(literal 8 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (-.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/5040 binary64) (pow.f64 y #s(literal 4 binary64))))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/25401600 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal -1/5040 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal -1/120 binary64) (*.f64 y y))) #s(literal 1/6 binary64)))
(/.f64 (fma.f64 #s(literal -1/128024064000 binary64) (pow.f64 y #s(literal 12 binary64)) (pow.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 y #s(literal 8 binary64)) (*.f64 (*.f64 #s(literal 1/5040 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))
(/.f64 (fma.f64 #s(literal -1/128024064000 binary64) (pow.f64 y #s(literal 12 binary64)) (pow.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 y #s(literal 8 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (-.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/5040 binary64) (pow.f64 y #s(literal 4 binary64)))))))
(neg.f64 (neg.f64 (fma.f64 #s(literal -1/5040 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))
(fma.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)) (*.f64 y y) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(fma.f64 #s(literal -1/5040 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(-.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)) (+.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (+.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 1/6 binary64))))
(-.f64 (/.f64 (pow.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (-.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/5040 binary64) (pow.f64 y #s(literal 4 binary64))))) (/.f64 (*.f64 #s(literal 1/25401600 binary64) (pow.f64 y #s(literal 8 binary64))) (-.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/5040 binary64) (pow.f64 y #s(literal 4 binary64))))))
(-.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)) (+.f64 #s(literal 1/36 binary64) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 1/6 binary64))))) (/.f64 #s(literal 1/216 binary64) (+.f64 (pow.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)) (+.f64 #s(literal 1/36 binary64) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 1/6 binary64))))))
(-.f64 (/.f64 (*.f64 #s(literal 1/25401600 binary64) (pow.f64 y #s(literal 8 binary64))) (+.f64 (fma.f64 #s(literal -1/5040 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal -1/120 binary64) (*.f64 y y))) #s(literal 1/6 binary64))) (/.f64 (pow.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal -1/5040 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal -1/120 binary64) (*.f64 y y))) #s(literal 1/6 binary64))))
(-.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 1/6 binary64))
(-.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 #s(literal 1/5040 binary64) (pow.f64 y #s(literal 4 binary64))))
(-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 y #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 y #s(literal 8 binary64)) (*.f64 (*.f64 #s(literal 1/5040 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))) (/.f64 (*.f64 #s(literal -1/128024064000 binary64) (pow.f64 y #s(literal 12 binary64))) (+.f64 (pow.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 y #s(literal 8 binary64)) (*.f64 (*.f64 #s(literal 1/5040 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))))
(+.f64 (/.f64 (*.f64 #s(literal -1/128024064000 binary64) (pow.f64 y #s(literal 12 binary64))) (+.f64 (pow.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 y #s(literal 8 binary64)) (*.f64 (*.f64 #s(literal 1/5040 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))) (/.f64 (pow.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 y #s(literal 8 binary64)) (*.f64 (*.f64 #s(literal 1/5040 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))))
(+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 y #s(literal 8 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (-.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/5040 binary64) (pow.f64 y #s(literal 4 binary64))))))) (/.f64 (*.f64 #s(literal -1/128024064000 binary64) (pow.f64 y #s(literal 12 binary64))) (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 y #s(literal 8 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (-.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/5040 binary64) (pow.f64 y #s(literal 4 binary64))))))))
(+.f64 (/.f64 (*.f64 #s(literal -1/128024064000 binary64) (pow.f64 y #s(literal 12 binary64))) (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 y #s(literal 8 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (-.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/5040 binary64) (pow.f64 y #s(literal 4 binary64))))))) (/.f64 (pow.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 y #s(literal 8 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (-.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/5040 binary64) (pow.f64 y #s(literal 4 binary64))))))))
(+.f64 (/.f64 (*.f64 #s(literal 1/25401600 binary64) (pow.f64 y #s(literal 8 binary64))) (+.f64 (fma.f64 #s(literal -1/5040 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal -1/120 binary64) (*.f64 y y))) #s(literal 1/6 binary64))) (/.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal -1/5040 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal -1/120 binary64) (*.f64 y y))) #s(literal 1/6 binary64))))
(+.f64 (*.f64 #s(literal -1/5040 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(+.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/5040 binary64) (pow.f64 y #s(literal 4 binary64))))
(*.f64 (fabs.f64 (*.f64 #s(literal -1/120 binary64) y)) y)
(*.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y)
(*.f64 (*.f64 #s(literal -1/120 binary64) y) (neg.f64 y))
(*.f64 (*.f64 #s(literal 1/120 binary64) y) y)
(*.f64 (neg.f64 y) (*.f64 #s(literal -1/120 binary64) y))
(*.f64 (*.f64 y y) #s(literal 1/120 binary64))
(*.f64 #s(literal 1/120 binary64) (*.f64 y y))
(*.f64 y (fabs.f64 (*.f64 #s(literal -1/120 binary64) y)))
(*.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 (*.f64 y y) #s(literal 1/120 binary64)))
(*.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 (cosh.f64 x) (sinh.f64 x))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal -4 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (cosh.f64 x))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (sinh.f64 x))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal -4 binary64))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) #s(literal 4 binary64))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -4 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) #s(literal -4 binary64))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (*.f64 #s(literal -2 binary64) (sinh.f64 x))) #s(literal 4 binary64))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -4 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal -2 binary64) (sinh.f64 x))) #s(literal -4 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (cosh.f64 x)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (sinh.f64 x)) #s(literal 2 binary64))
(/.f64 (*.f64 (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(/.f64 (*.f64 (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 4 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 4 binary64))
(-.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))))

eval106.0ms (1%)

Memory
4.4MiB live, 101.6MiB allocated; 7ms collecting garbage
Compiler

Compiled 15 671 to 1 962 computations (87.5% saved)

prune29.0ms (0.3%)

Memory
-9.8MiB live, 37.7MiB allocated; 1ms collecting garbage
Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New5299538
Fresh134
Picked325
Done000
Total53314547
Accuracy
100.0%
Counts
547 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
37.0%
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.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 (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)))))))
43.6%
(/.f64 (*.f64 (*.f64 (cosh.f64 x) (sinh.f64 x)) (sin.f64 y)) (*.f64 (sinh.f64 x) y))
44.1%
(/.f64 #s(approx (* (/ (sin y) y) (* (cosh x) (sinh x))) (*.f64 (/.f64 (sin.f64 y) y) x)) (sinh.f64 x))
44.2%
(*.f64 (/.f64 (*.f64 (sinh.f64 x) (cosh.f64 x)) y) (/.f64 (sin.f64 y) (sinh.f64 x)))
57.6%
(*.f64 (sin.f64 y) (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y))
64.8%
(*.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))))
56.3%
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(approx (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
79.2%
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
56.2%
(*.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 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
46.9%
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
57.6%
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y))
36.3%
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (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))))
41.1%
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
32.2%
#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 648 to 374 computations (42.3% saved)

simplify137.0ms (1.4%)

Memory
8.1MiB live, 104.0MiB allocated; 7ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(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)))
cost-diff0
(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))
cost-diff0
#s(approx (/ (sin y) y) (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)))
cost-diff0
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (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))))
cost-diff0
(fma.f64 #s(approx (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (sin y) y) (fma.f64 #s(approx (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) #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(approx (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) #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 (-.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))))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
045382
070382
1123378
2319378
31000378
42740378
08192378
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.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)
#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 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(approx (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(cosh.f64 x)
x
#s(approx (/ (sin y) y) (fma.f64 #s(approx (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
#s(approx (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(*.f64 y y)
y
#s(literal 1 binary64)
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (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))))
#s(approx (/ (sin y) y) (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)))
(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))
(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 #s(literal 1/120 binary64) y)
#s(literal 1/120 binary64)
y
(-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/6 binary64))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64))
(pow.f64 y #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1/5040 binary64)
#s(literal 1/6 binary64)
(*.f64 y y)
#s(literal 1 binary64)
Outputs
(*.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 (*.f64 y y) #s(literal 1/120 binary64)) #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)))
#s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #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))
(fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #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 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/120 binary64) (*.f64 y y))
(*.f64 (*.f64 y y) #s(literal 1/120 binary64))
#s(literal 1/120 binary64)
(*.f64 y 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 #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))))
(*.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 #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)))
#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)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
#s(literal -1/6 binary64)
(*.f64 y y)
y
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(approx (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(approx (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) #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 #s(approx (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
#s(approx (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(*.f64 y y)
y
#s(literal 1 binary64)
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (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))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.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)))
#s(approx (/ (sin y) y) (fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 #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))
(fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 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)))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(*.f64 #s(literal 1/120 binary64) y)
#s(literal 1/120 binary64)
y
(-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/6 binary64))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64))
(pow.f64 y #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1/5040 binary64)
#s(literal 1/6 binary64)
(*.f64 y y)
#s(literal 1 binary64)

localize149.0ms (1.5%)

Memory
-5.4MiB live, 86.8MiB allocated; 6ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.05078125
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64))
accuracy0.08203125
(*.f64 #s(literal 1/120 binary64) y)
accuracy27.044804786002178
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (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))))
accuracy32.25407902790669
#s(approx (/ (sin y) y) (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)))
accuracy0.0
(cosh.f64 x)
accuracy0.04296875
(fma.f64 #s(approx (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
accuracy32.077579761969666
#s(approx (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) #s(literal -1/6 binary64))
accuracy32.25407902790669
#s(approx (/ (sin y) y) (fma.f64 #s(approx (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
accuracy0.20176672471313883
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
accuracy0.29610171650747025
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
accuracy13.287176587323245
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
accuracy32.43864656861369
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
accuracy0.0
(*.f64 y y)
accuracy0.29610171650747025
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
accuracy27.044804786002178
#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))))
accuracy32.43864656861369
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
accuracy0.015625
(-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))
accuracy0.046875
(fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
accuracy0.306967671753386
(*.f64 #s(literal 1/120 binary64) (*.f64 y y))
accuracy32.1723752044595
#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)))
Samples
88.0ms256×0valid
Compiler

Compiled 232 to 36 computations (84.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
ival-mult: 18.0ms (27% of total)
ival-div: 15.0ms (22.5% of total)
const: 12.0ms (18% of total)
ival-add: 8.0ms (12% of total)
ival-sin: 6.0ms (9% of total)
ival-cosh: 3.0ms (4.5% of total)
ival-pow: 3.0ms (4.5% of total)
ival-sub: 2.0ms (3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series13.0ms (0.1%)

Memory
12.0MiB live, 12.0MiB allocated; 0ms collecting garbage
Counts
24 → 38
Calls
Call 1
Inputs
(*.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)
#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))
#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 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(approx (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (sin y) y) (fma.f64 #s(approx (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) #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 (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))))
#s(approx (/ (sin y) y) (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)))
(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))
(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 #s(literal 1/120 binary64) (*.f64 y y))
(-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))
#s(approx (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) #s(literal -1/6 binary64))
(*.f64 #s(literal 1/120 binary64) y)
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 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
(+ 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))))
(* 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)))))))))
(+ 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)
-1/6
(- (* 1/120 (pow y 2)) 1/6)
(- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)
(* 1/120 (pow y 2))
(* 1/120 y)
(* -1/5040 (pow y 4))
(* 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)))))
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* -1/5040 (pow y 6))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* (pow y 6) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
Calls

6 calls:

TimeVariablePointExpression
3.0ms
y
@-inf
((* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) (* (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)) (/ (sin y) y) (+ (* (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) (* y y)) 1) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* (+ (* (* 1/120 y) y) (- (* (pow y 4) -1/5040) 1/6)) (* y y)) 1) (+ (* (* 1/120 y) y) (- (* (pow y 4) -1/5040) 1/6)) (* 1/120 (* y y)) (- (* 1/120 (* y y)) 1/6) (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) (* 1/120 y) (* (pow y 4) -1/5040))
3.0ms
y
@inf
((* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) (* (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)) (/ (sin y) y) (+ (* (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) (* y y)) 1) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* (+ (* (* 1/120 y) y) (- (* (pow y 4) -1/5040) 1/6)) (* y y)) 1) (+ (* (* 1/120 y) y) (- (* (pow y 4) -1/5040) 1/6)) (* 1/120 (* y y)) (- (* 1/120 (* y y)) 1/6) (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) (* 1/120 y) (* (pow y 4) -1/5040))
2.0ms
y
@0
((* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) (* (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)) (/ (sin y) y) (+ (* (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) (* y y)) 1) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* (+ (* (* 1/120 y) y) (- (* (pow y 4) -1/5040) 1/6)) (* y y)) 1) (+ (* (* 1/120 y) y) (- (* (pow y 4) -1/5040) 1/6)) (* 1/120 (* y y)) (- (* 1/120 (* y y)) 1/6) (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) (* 1/120 y) (* (pow y 4) -1/5040))
2.0ms
x
@inf
((* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) (* (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)) (/ (sin y) y) (+ (* (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) (* y y)) 1) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* (+ (* (* 1/120 y) y) (- (* (pow y 4) -1/5040) 1/6)) (* y y)) 1) (+ (* (* 1/120 y) y) (- (* (pow y 4) -1/5040) 1/6)) (* 1/120 (* y y)) (- (* 1/120 (* y y)) 1/6) (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) (* 1/120 y) (* (pow y 4) -1/5040))
1.0ms
x
@-inf
((* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) (* (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)) (/ (sin y) y) (+ (* (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) (* y y)) 1) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* (+ (* (* 1/120 y) y) (- (* (pow y 4) -1/5040) 1/6)) (* y y)) 1) (+ (* (* 1/120 y) y) (- (* (pow y 4) -1/5040) 1/6)) (* 1/120 (* y y)) (- (* 1/120 (* y y)) 1/6) (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) (* 1/120 y) (* (pow y 4) -1/5040))

simplify221.0ms (2.2%)

Memory
-9.3MiB live, 86.3MiB allocated; 10ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0116480
1375450
21523436
37542432
08109408
Stop Event
iter limit
node limit
Counts
38 → 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
(+ 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))))
(* 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)))))))))
(+ 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)
-1/6
(- (* 1/120 (pow y 2)) 1/6)
(- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)
(* 1/120 (pow y 2))
(* 1/120 y)
(* -1/5040 (pow y 4))
(* 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)))))
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* -1/5040 (pow y 6))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* (pow y 6) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* (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
#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))))
(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 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (pow.f64 y #s(literal 4 binary64))) (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 (*.f64 y y) #s(literal 1/120 binary64)) #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 #s(literal -1/5040 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64))
(pow y 2)
(*.f64 y y)
-1/6
#s(literal -1/6 binary64)
(- (* 1/120 (pow y 2)) 1/6)
(-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)
(fma.f64 #s(literal -1/5040 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(* 1/120 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/120 binary64))
(* 1/120 y)
(*.f64 #s(literal 1/120 binary64) y)
(* -1/5040 (pow y 4))
(*.f64 #s(literal -1/5040 binary64) (pow.f64 y #s(literal 4 binary64)))
(* 1/120 (pow y 4))
(*.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal 4 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)))
(* -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)
(* -1/5040 (pow y 6))
(*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/5040 binary64))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal -1/120 binary64) (*.f64 y y))) (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/5040 binary64))) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64)))) (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)

rewrite230.0ms (2.3%)

Memory
14.1MiB live, 147.0MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
045318
070318
1238314
21650314
08336314
Stop Event
iter limit
node limit
iter limit
Counts
24 → 426
Calls
Call 1
Inputs
(*.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)
#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))
#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 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(approx (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (sin y) y) (fma.f64 #s(approx (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) #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 (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))))
#s(approx (/ (sin y) y) (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)))
(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))
(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 #s(literal 1/120 binary64) (*.f64 y y))
(-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))
#s(approx (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) #s(literal -1/6 binary64))
(*.f64 #s(literal 1/120 binary64) y)
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64))
Outputs
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (cosh.f64 x))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal -2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (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 (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 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(cosh.f64 (neg.f64 (neg.f64 (neg.f64 x))))
(cosh.f64 (neg.f64 (neg.f64 x)))
(cosh.f64 (neg.f64 x))
(cosh.f64 x)
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 (neg.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)))
#s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64)))) (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y)) y) (*.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y)) y))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y)) y)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 y y)) (*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 y y)))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 y y))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 y y)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (neg.f64 (*.f64 y y)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 y y)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64))) (-.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y))) (/.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64))) (-.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y)))) (*.f64 (pow.f64 (-.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y)) #s(literal -1 binary64)) (pow.f64 (-.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y)) #s(literal -1 binary64)))) (-.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64))) (-.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y))) (pow.f64 (-.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64))) (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y)) y) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y)) y) (*.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y)) y) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y)) y)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 y y)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 y y)) (*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 y y)) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 y y))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 (*.f64 y y)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 (*.f64 y y)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (neg.f64 (*.f64 y y)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 y y)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64))) (-.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64))) (-.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y))) (/.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64))) (-.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y))) (-.f64 (*.f64 (pow.f64 (-.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y)) #s(literal -1 binary64)) (pow.f64 (-.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y)) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64))) (-.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y))) (pow.f64 (-.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y)))))
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(+.f64 (/.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/6 binary64)))) (/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/6 binary64))) (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/6 binary64))) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/6 binary64)))))
(+.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1/25401600 binary64)) (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))
(+.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))
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(+.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64)))
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(*.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) (neg.f64 y))) y)
(*.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y)
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(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 1/120 binary64)))
(*.f64 (*.f64 #s(literal 1/120 binary64) y) y)
(*.f64 (*.f64 y y) #s(literal 1/120 binary64))
(*.f64 #s(literal 1/120 binary64) (*.f64 y y))
(*.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 (*.f64 y y) #s(literal 1/120 binary64))))
(fabs.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64))) (/.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)))) (*.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/720 binary64) #s(literal 1/36 binary64)))) (/.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/720 binary64) #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 (*.f64 y y) #s(literal 1/720 binary64) #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 (*.f64 y y) #s(literal 1/720 binary64) #s(literal 1/36 binary64)))))) (+.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/720 binary64) #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 (*.f64 y y) #s(literal 1/720 binary64) #s(literal 1/36 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64))) (/.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64))) (fma.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/720 binary64) #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 (*.f64 y y) #s(literal 1/720 binary64) #s(literal 1/36 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/720 binary64) #s(literal 1/36 binary64)))) (/.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/720 binary64) #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 (*.f64 y y) #s(literal 1/720 binary64) #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 (*.f64 y y) #s(literal 1/720 binary64) #s(literal 1/36 binary64)))) (*.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/720 binary64) #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 (*.f64 y y) #s(literal 1/720 binary64) #s(literal 1/36 binary64))))))))
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(/.f64 (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/36 binary64)) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)))
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(-.f64 (/.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64))))
(-.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/720 binary64) #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 (*.f64 y y) #s(literal 1/720 binary64) #s(literal 1/36 binary64)))))
(-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
#s(approx (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) #s(literal -1/6 binary64))
(*.f64 #s(literal 1/120 binary64) y)
(*.f64 y #s(literal 1/120 binary64))
(*.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)) (*.f64 y y))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64))
(*.f64 #s(literal -1/5040 binary64) (pow.f64 y #s(literal 4 binary64)))
(*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))

eval167.0ms (1.7%)

Memory
-6.3MiB live, 104.1MiB allocated; 20ms collecting garbage
Compiler

Compiled 29 492 to 2 714 computations (90.8% saved)

prune35.0ms (0.3%)

Memory
-16.1MiB live, 31.4MiB allocated; 2ms collecting garbage
Pruning

21 alts after pruning (16 fresh and 5 done)

PrunedKeptTotal
New6119620
Fresh077
Picked235
Done022
Total61321634
Accuracy
100.0%
Counts
634 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
37.0%
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.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 (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)))))))
43.6%
(/.f64 (*.f64 (*.f64 (cosh.f64 x) (sinh.f64 x)) (sin.f64 y)) (*.f64 (sinh.f64 x) y))
44.1%
(/.f64 #s(approx (* (/ (sin y) y) (* (cosh x) (sinh x))) (*.f64 (/.f64 (sin.f64 y) y) x)) (sinh.f64 x))
44.2%
(*.f64 (/.f64 (*.f64 (sinh.f64 x) (cosh.f64 x)) y) (/.f64 (sin.f64 y) (sinh.f64 x)))
57.6%
(*.f64 (sin.f64 y) (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y))
56.3%
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(approx (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
50.7%
(*.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(approx (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
59.4%
(*.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 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
49.8%
(*.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(approx (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
79.2%
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
56.2%
(*.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 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
46.9%
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
7.3%
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
19.9%
(*.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))))
57.6%
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y))
33.3%
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64))))
41.1%
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
32.2%
#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))))
32.2%
#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))))
29.1%
#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))))
4.6%
#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 1 048 to 633 computations (39.6% saved)

simplify139.0ms (1.4%)

Memory
24.9MiB live, 68.6MiB allocated; 4ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cosh.f64 x)
cost-diff0
(*.f64 (cosh.f64 x) (sinh.f64 x))
cost-diff0
(*.f64 (*.f64 (cosh.f64 x) (sinh.f64 x)) (sin.f64 y))
cost-diff6
(/.f64 (*.f64 (*.f64 (cosh.f64 x) (sinh.f64 x)) (sin.f64 y)) (*.f64 (sinh.f64 x) y))
cost-diff0
(fma.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #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 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64))))
cost-diff4
(fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 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) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
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 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
cost-diff0
(fma.f64 (fma.f64 #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 #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 #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 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047434
077434
1152422
2477418
31925416
45652416
08022406
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.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 (-.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 (fma.f64 #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 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
#s(literal 1/24 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)
#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) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #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) (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) #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
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(*.f64 y y)
y
(*.f64 (*.f64 y y) #s(literal -1/5040 binary64))
#s(literal -1/5040 binary64)
(-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(*.f64 (*.f64 y y) #s(literal 1/120 binary64))
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(/.f64 (*.f64 (*.f64 (cosh.f64 x) (sinh.f64 x)) (sin.f64 y)) (*.f64 (sinh.f64 x) y))
(*.f64 (*.f64 (cosh.f64 x) (sinh.f64 x)) (sin.f64 y))
(*.f64 (cosh.f64 x) (sinh.f64 x))
(cosh.f64 x)
x
(sinh.f64 x)
(sin.f64 y)
y
(*.f64 (sinh.f64 x) y)
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 (-.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 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
#s(literal 1/24 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)))
#s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #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))
(fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #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 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/120 binary64) (*.f64 y y))
(*.f64 (*.f64 y y) #s(literal 1/120 binary64))
#s(literal 1/120 binary64)
(*.f64 y y)
y
#s(literal 1/6 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))
#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) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #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) (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) #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
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/5040 binary64) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))))
#s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (/ (sin y) y) (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/5040 binary64) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(fma.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/5040 binary64) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(*.f64 y y)
y
(*.f64 (*.f64 y y) #s(literal -1/5040 binary64))
(*.f64 #s(literal -1/5040 binary64) (*.f64 y y))
#s(literal -1/5040 binary64)
(-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(*.f64 (*.f64 y y) #s(literal 1/120 binary64))
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(/.f64 (*.f64 (*.f64 (cosh.f64 x) (sinh.f64 x)) (sin.f64 y)) (*.f64 (sinh.f64 x) y))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(*.f64 (*.f64 (cosh.f64 x) (sinh.f64 x)) (sin.f64 y))
(*.f64 (sin.f64 y) (*.f64 (sinh.f64 x) (cosh.f64 x)))
(*.f64 (cosh.f64 x) (sinh.f64 x))
(*.f64 (sinh.f64 x) (cosh.f64 x))
(cosh.f64 x)
x
(sinh.f64 x)
(sin.f64 y)
y
(*.f64 (sinh.f64 x) y)

localize147.0ms (1.5%)

Memory
-0.5MiB live, 55.9MiB allocated; 6ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(*.f64 (cosh.f64 x) (sinh.f64 x))
accuracy0.0078125
(*.f64 (sinh.f64 x) y)
accuracy0.0703125
(*.f64 (*.f64 (cosh.f64 x) (sinh.f64 x)) (sin.f64 y))
accuracy9.239463568504178
(/.f64 (*.f64 (*.f64 (cosh.f64 x) (sinh.f64 x)) (sin.f64 y)) (*.f64 (sinh.f64 x) y))
accuracy0.0859375
(*.f64 (*.f64 y y) #s(literal -1/5040 binary64))
accuracy1.255071586525072
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64))))
accuracy9.523359061547826
(fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
accuracy18.250264744376953
#s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64)))
accuracy0.1015625
(*.f64 #s(literal -1/6 binary64) (*.f64 y y))
accuracy0.9847640835343094
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
accuracy18.479822053692153
#s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))
accuracy18.591123749505154
#s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
accuracy0.1015625
(*.f64 #s(literal -1/6 binary64) (*.f64 y y))
accuracy1.255071586525072
#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)))))
accuracy18.479822053692153
#s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))
accuracy18.591123749505154
#s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
accuracy0.0234375
(fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
accuracy0.05078125
(*.f64 #s(literal 1/120 binary64) (*.f64 y y))
accuracy0.8351132981032163
#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)))
accuracy18.26519797175783
#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)))
Samples
74.0ms150×0valid
35.0ms106×0exit
Compiler

Compiled 258 to 41 computations (84.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 86.0ms
const: 39.0ms (45.4% of total)
ival-mult: 22.0ms (25.6% of total)
ival-add: 8.0ms (9.3% of total)
ival-sin: 6.0ms (7% of total)
ival-div: 3.0ms (3.5% of total)
ival-cosh: 3.0ms (3.5% of total)
ival-sub: 2.0ms (2.3% of total)
ival-sinh: 2.0ms (2.3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series48.0ms (0.5%)

Memory
-20.9MiB live, 24.3MiB allocated; 5ms collecting garbage
Counts
25 → 62
Calls
Call 1
Inputs
(*.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 (-.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 (fma.f64 #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 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #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) #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) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #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) (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)
(fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 (cosh.f64 x) (sinh.f64 x)) (sin.f64 y)) (*.f64 (sinh.f64 x) y))
(*.f64 (*.f64 (cosh.f64 x) (sinh.f64 x)) (sin.f64 y))
(*.f64 (cosh.f64 x) (sinh.f64 x))
(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(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))
(*.f64 (*.f64 y y) #s(literal -1/5040 binary64))
(*.f64 (sinh.f64 x) 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)))
(pow x 2)
(* x (sin y))
(* x (+ (sin y) (* (pow x 2) (+ (* 1/6 (sin y)) (* 1/2 (sin y))))))
(* x (+ (sin y) (* (pow x 2) (+ (* 1/6 (sin y)) (+ (* 1/2 (sin y)) (* (pow x 2) (+ (* 1/120 (sin y)) (+ (* 1/24 (sin y)) (* 1/12 (sin y))))))))))
(* x (+ (sin y) (* (pow x 2) (+ (* 1/6 (sin y)) (+ (* 1/2 (sin y)) (* (pow x 2) (+ (* 1/120 (sin y)) (+ (* 1/24 (sin y)) (+ (* 1/12 (sin y)) (* (pow x 2) (+ (* 1/5040 (sin y)) (+ (* 1/720 (sin y)) (+ (* 1/240 (sin y)) (* 1/144 (sin y)))))))))))))))
x
(* x (+ 1 (* 2/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 2/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/15 (* 4/315 (pow x 2))))))))
(* x y)
(* x (+ y (* 1/6 (* (pow x 2) y))))
(* x (+ y (* (pow x 2) (+ (* 1/120 (* (pow x 2) y)) (* 1/6 y)))))
(* x (+ y (* (pow x 2) (+ (* 1/6 y) (* (pow x 2) (+ (* 1/5040 (* (pow x 2) y)) (* 1/120 y)))))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* 1/4 (* (sin y) (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))))
(* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (* y (- (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)))
(* -1/6 (pow y 2))
-1/6
(- (* 1/120 (pow y 2)) 1/6)
(- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)
(* 1/4 (* y (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))))
(* y (+ (* -1/24 (* (pow y 2) (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))) (* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))))
(* y (+ (* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (* (pow y 2) (+ (* -1/24 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (* 1/480 (* (pow y 2) (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))))))))
(* y (+ (* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (* (pow y 2) (+ (* -1/24 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (* (pow y 2) (+ (* -1/20160 (* (pow y 2) (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))) (* 1/480 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))))))))
(* 1/120 (pow y 2))
(* -1/5040 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* -1/5040 (pow y 4))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* -1/5040 (pow y 6))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* (pow y 6) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* 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)))))
Calls

6 calls:

TimeVariablePointExpression
4.0ms
y
@inf
((* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (+ (* 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) (+ (* (* y y) (* (* y y) -1/5040)) (- (* (* y y) 1/120) 1/6)) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* (+ (* (* y y) (* (* y y) -1/5040)) (- (* (* y y) 1/120) 1/6)) (* y y)) 1) (/ (* (* (cosh x) (sinh x)) (sin y)) (* (sinh x) y)) (* (* (cosh x) (sinh x)) (sin y)) (* (cosh x) (sinh x)) (cosh x) (/ (sin y) y) (* 1/120 (* y y)) (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) (* (* y y) -1/5040) (* (sinh x) y))
4.0ms
y
@-inf
((* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (+ (* 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) (+ (* (* y y) (* (* y y) -1/5040)) (- (* (* y y) 1/120) 1/6)) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* (+ (* (* y y) (* (* y y) -1/5040)) (- (* (* y y) 1/120) 1/6)) (* y y)) 1) (/ (* (* (cosh x) (sinh x)) (sin y)) (* (sinh x) y)) (* (* (cosh x) (sinh x)) (sin y)) (* (cosh x) (sinh x)) (cosh x) (/ (sin y) y) (* 1/120 (* y y)) (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) (* (* y y) -1/5040) (* (sinh x) y))
3.0ms
x
@inf
((* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (+ (* 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) (+ (* (* y y) (* (* y y) -1/5040)) (- (* (* y y) 1/120) 1/6)) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* (+ (* (* y y) (* (* y y) -1/5040)) (- (* (* y y) 1/120) 1/6)) (* y y)) 1) (/ (* (* (cosh x) (sinh x)) (sin y)) (* (sinh x) y)) (* (* (cosh x) (sinh x)) (sin y)) (* (cosh x) (sinh x)) (cosh x) (/ (sin y) y) (* 1/120 (* y y)) (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) (* (* y y) -1/5040) (* (sinh x) y))
3.0ms
x
@-inf
((* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (+ (* 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) (+ (* (* y y) (* (* y y) -1/5040)) (- (* (* y y) 1/120) 1/6)) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* (+ (* (* y y) (* (* y y) -1/5040)) (- (* (* y y) 1/120) 1/6)) (* y y)) 1) (/ (* (* (cosh x) (sinh x)) (sin y)) (* (sinh x) y)) (* (* (cosh x) (sinh x)) (sin y)) (* (cosh x) (sinh x)) (cosh x) (/ (sin y) y) (* 1/120 (* y y)) (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) (* (* y y) -1/5040) (* (sinh x) y))
2.0ms
y
@0
((* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (+ (* 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) (+ (* (* y y) (* (* y y) -1/5040)) (- (* (* y y) 1/120) 1/6)) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* (+ (* (* y y) (* (* y y) -1/5040)) (- (* (* y y) 1/120) 1/6)) (* y y)) 1) (/ (* (* (cosh x) (sinh x)) (sin y)) (* (sinh x) y)) (* (* (cosh x) (sinh x)) (sin y)) (* (cosh x) (sinh x)) (cosh x) (/ (sin y) y) (* 1/120 (* y y)) (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) (* (* y y) -1/5040) (* (sinh x) y))

simplify206.0ms (2%)

Memory
7.8MiB live, 149.5MiB allocated; 18ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0229948
1859823
23717790
08369739
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)))
(pow x 2)
(* x (sin y))
(* x (+ (sin y) (* (pow x 2) (+ (* 1/6 (sin y)) (* 1/2 (sin y))))))
(* x (+ (sin y) (* (pow x 2) (+ (* 1/6 (sin y)) (+ (* 1/2 (sin y)) (* (pow x 2) (+ (* 1/120 (sin y)) (+ (* 1/24 (sin y)) (* 1/12 (sin y))))))))))
(* x (+ (sin y) (* (pow x 2) (+ (* 1/6 (sin y)) (+ (* 1/2 (sin y)) (* (pow x 2) (+ (* 1/120 (sin y)) (+ (* 1/24 (sin y)) (+ (* 1/12 (sin y)) (* (pow x 2) (+ (* 1/5040 (sin y)) (+ (* 1/720 (sin y)) (+ (* 1/240 (sin y)) (* 1/144 (sin y)))))))))))))))
x
(* x (+ 1 (* 2/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 2/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/15 (* 4/315 (pow x 2))))))))
(* x y)
(* x (+ y (* 1/6 (* (pow x 2) y))))
(* x (+ y (* (pow x 2) (+ (* 1/120 (* (pow x 2) y)) (* 1/6 y)))))
(* x (+ y (* (pow x 2) (+ (* 1/6 y) (* (pow x 2) (+ (* 1/5040 (* (pow x 2) y)) (* 1/120 y)))))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* 1/4 (* (sin y) (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))))
(* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (* y (- (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)))
(* -1/6 (pow y 2))
-1/6
(- (* 1/120 (pow y 2)) 1/6)
(- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)
(* 1/4 (* y (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))))
(* y (+ (* -1/24 (* (pow y 2) (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))) (* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))))
(* y (+ (* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (* (pow y 2) (+ (* -1/24 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (* 1/480 (* (pow y 2) (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))))))))
(* y (+ (* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (* (pow y 2) (+ (* -1/24 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (* (pow y 2) (+ (* -1/20160 (* (pow y 2) (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))) (* 1/480 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))))))))
(* 1/120 (pow y 2))
(* -1/5040 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* -1/5040 (pow y 4))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* -1/5040 (pow y 6))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* (pow y 6) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* 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)))))
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))
(fma.f64 (*.f64 (/.f64 (sin.f64 y) y) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (*.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))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (/.f64 (sin.f64 y) y) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 y) 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))
(pow x 2)
(*.f64 x x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (+ (sin y) (* (pow x 2) (+ (* 1/6 (sin y)) (* 1/2 (sin y))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2/3 binary64) (sin.f64 y)) (*.f64 (sin.f64 y) x))
(* x (+ (sin y) (* (pow x 2) (+ (* 1/6 (sin y)) (+ (* 1/2 (sin y)) (* (pow x 2) (+ (* 1/120 (sin y)) (+ (* 1/24 (sin y)) (* 1/12 (sin y))))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (sin.f64 y) #s(literal 2/15 binary64)) x) x (*.f64 #s(literal 2/3 binary64) (sin.f64 y))) (*.f64 (sin.f64 y) x))
(* x (+ (sin y) (* (pow x 2) (+ (* 1/6 (sin y)) (+ (* 1/2 (sin y)) (* (pow x 2) (+ (* 1/120 (sin y)) (+ (* 1/24 (sin y)) (+ (* 1/12 (sin y)) (* (pow x 2) (+ (* 1/5040 (sin y)) (+ (* 1/720 (sin y)) (+ (* 1/240 (sin y)) (* 1/144 (sin y)))))))))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/3 binary64) (sin.f64 y) (*.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 y) #s(literal 4/315 binary64)) x) x (*.f64 (sin.f64 y) #s(literal 2/15 binary64))) (*.f64 x x))) (*.f64 (sin.f64 y) x))
x
(* x (+ 1 (* 2/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 2/3 (* 2/15 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/15 (* 4/315 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 4/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(* x y)
(*.f64 y x)
(* x (+ y (* 1/6 (* (pow x 2) y))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) x)
(* x (+ y (* (pow x 2) (+ (* 1/120 (* (pow x 2) y)) (* 1/6 y)))))
(*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 x x) y) x)
(* x (+ y (* (pow x 2) (+ (* 1/6 y) (* (pow x 2) (+ (* 1/5040 (* (pow x 2) y)) (* 1/120 y)))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 y (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 #s(literal 1/6 binary64) y)) (*.f64 y 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))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/24 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64))
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(* 1/24 (pow x 2))
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #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))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(* 1/4 (* (sin y) (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))))
(*.f64 (*.f64 #s(literal 1/4 binary64) (sin.f64 y)) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))
(* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(* 1/2 (* y (- (exp x) (/ 1 (exp x)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) y) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+ (* -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 y y) #s(literal -1/12 binary64) #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 (*.f64 y y) #s(literal 1/240 binary64) #s(literal -1/12 binary64))) (*.f64 y y) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
(fma.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))) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 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 (*.f64 y y) #s(literal 1/120 binary64)) #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 (*.f64 y y) #s(literal 1/120 binary64)) #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))
-1/6
#s(literal -1/6 binary64)
(- (* 1/120 (pow y 2)) 1/6)
(-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(* 1/4 (* y (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))))
(*.f64 (*.f64 #s(literal 1/4 binary64) y) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))
(* y (+ (* -1/24 (* (pow y 2) (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))) (* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))))
(*.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/24 binary64) (*.f64 y y) #s(literal 1/4 binary64))) y)
(* y (+ (* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (* (pow y 2) (+ (* -1/24 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (* 1/480 (* (pow y 2) (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))))))))
(*.f64 (fma.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/480 binary64) (*.f64 y y) #s(literal -1/24 binary64))) (*.f64 y y) (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 1/4 binary64))) y)
(* y (+ (* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (* (pow y 2) (+ (* -1/24 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (* (pow y 2) (+ (* -1/20160 (* (pow y 2) (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))) (* 1/480 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))))))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/20160 binary64) (*.f64 y y) #s(literal 1/480 binary64))) (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/24 binary64) (*.f64 y y) #s(literal 1/4 binary64)))) y)
(* 1/120 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/120 binary64))
(* -1/5040 (pow y 2))
(*.f64 #s(literal -1/5040 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)
(* -1/5040 (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64)))
(* -1/5040 (pow y 6))
(*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/5040 binary64))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(*.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(*.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64)))))
(* (pow y 6) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))) (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/5040 binary64))) (pow.f64 y #s(literal 6 binary64)))
(* 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)))

rewrite267.0ms (2.6%)

Memory
21.3MiB live, 249.6MiB allocated; 25ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047339
077339
1268327
21757327
08425319
Stop Event
iter limit
node limit
iter limit
Counts
25 → 440
Calls
Call 1
Inputs
(*.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 (-.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 (fma.f64 #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 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #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) #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) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #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) (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)
(fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 (cosh.f64 x) (sinh.f64 x)) (sin.f64 y)) (*.f64 (sinh.f64 x) y))
(*.f64 (*.f64 (cosh.f64 x) (sinh.f64 x)) (sin.f64 y))
(*.f64 (cosh.f64 x) (sinh.f64 x))
(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(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))
(*.f64 (*.f64 y y) #s(literal -1/5040 binary64))
(*.f64 (sinh.f64 x) y)
Outputs
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))))
#s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
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(*.f64 y (*.f64 #s(literal -1/5040 binary64) y))
(*.f64 (sinh.f64 x) y)
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eval102.0ms (1%)

Memory
-5.5MiB live, 144.0MiB allocated; 23ms collecting garbage
Compiler

Compiled 20 866 to 2 274 computations (89.1% saved)

prune39.0ms (0.4%)

Memory
23.6MiB live, 70.4MiB allocated; 4ms collecting garbage
Pruning

25 alts after pruning (18 fresh and 7 done)

PrunedKeptTotal
New5517558
Fresh01111
Picked325
Done055
Total55425579
Accuracy
100.0%
Counts
579 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
37.0%
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44.1%
(/.f64 #s(approx (* (/ (sin y) y) (* (cosh x) (sinh x))) (*.f64 (/.f64 (sin.f64 y) y) x)) (sinh.f64 x))
43.4%
(/.f64 #s(approx (* (* (cosh x) (sinh x)) (sin y)) (*.f64 (sin.f64 y) x)) (*.f64 (sinh.f64 x) y))
44.2%
(*.f64 (/.f64 (*.f64 (sinh.f64 x) (cosh.f64 x)) y) (/.f64 (sin.f64 y) (sinh.f64 x)))
43.5%
(*.f64 (/.f64 (sin.f64 y) (*.f64 (sinh.f64 x) y)) (*.f64 (sinh.f64 x) (cosh.f64 x)))
57.6%
(*.f64 (sin.f64 y) (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y))
56.3%
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(approx (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
59.4%
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
50.7%
(*.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(approx (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
49.8%
(*.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(approx (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
79.2%
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
56.2%
(*.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 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
46.9%
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
7.3%
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
58.9%
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
19.9%
(*.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))))
7.5%
(*.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) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
57.6%
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y))
36.3%
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
41.1%
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
32.2%
#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))))
32.2%
#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))))
29.1%
#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))))
4.6%
#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))))
4.6%
#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 1 565 to 614 computations (60.8% saved)

regimes88.0ms (0.9%)

Memory
-17.4MiB live, 74.6MiB allocated; 12ms collecting garbage
Counts
35 → 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 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #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) #s(approx (+ (* -1/6 (* y y)) 1) (*.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))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 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) (/ (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 y y) (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.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(approx (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) #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 (*.f64 y y) #s(literal 1/120 binary64)) #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 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #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(approx (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #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 (-.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 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #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 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(approx (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) #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))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (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))))
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 #s(approx (* (* (cosh x) (sinh x)) (sin y)) (*.f64 (sin.f64 y) x)) (*.f64 (sinh.f64 x) y))
(/.f64 #s(approx (* (/ (sin y) y) (* (cosh x) (sinh x))) (*.f64 (/.f64 (sin.f64 y) y) x)) (sinh.f64 x))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (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))))
(*.f64 (/.f64 (sin.f64 y) (*.f64 (sinh.f64 x) y)) (*.f64 (sinh.f64 x) (cosh.f64 x)))
(/.f64 (*.f64 (*.f64 (cosh.f64 x) (sinh.f64 x)) (sin.f64 y)) (*.f64 (sinh.f64 x) y))
(*.f64 (/.f64 (*.f64 (sinh.f64 x) (cosh.f64 x)) y) (/.f64 (sin.f64 y) (sinh.f64 x)))
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (cosh.f64 x) (sinh.f64 x))) (sinh.f64 x))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.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 (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)))))))
Outputs
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Calls

5 calls:

23.0ms
(cosh.f64 x)
10.0ms
y
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%1(/.f64 (sin.f64 y) y)
99.9%1(cosh.f64 x)
99.9%1(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
99.9%1x
99.9%1y
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes39.0ms (0.4%)

Memory
13.6MiB live, 64.7MiB allocated; 10ms collecting garbage
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 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #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) #s(approx (+ (* -1/6 (* y y)) 1) (*.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))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 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) (/ (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 y y) (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.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(approx (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) #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 (*.f64 y y) #s(literal 1/120 binary64)) #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 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #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(approx (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #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 (-.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 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #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 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(approx (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) #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))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (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))))
Outputs
(*.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))
(*.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
x
7.0ms
y
7.0ms
(/.f64 (sin.f64 y) y)
6.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
5.0ms
(cosh.f64 x)
Results
AccuracySegmentsBranch
87.2%2(/.f64 (sin.f64 y) y)
92.5%2(cosh.f64 x)
99.9%3(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
95.6%3x
87.0%2y
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes16.0ms (0.2%)

Memory
-15.5MiB live, 29.5MiB allocated; 4ms collecting garbage
Counts
23 → 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 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #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) #s(approx (+ (* -1/6 (* y y)) 1) (*.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))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 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) (/ (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 y y) (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.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(approx (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) #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 (*.f64 y y) #s(literal 1/120 binary64)) #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 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #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(approx (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #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 (-.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 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #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 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(approx (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) #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
(*.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))
(*.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 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
Calls

2 calls:

8.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
7.0ms
x
Results
AccuracySegmentsBranch
94.4%4x
94.5%3(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Compiler

Compiled 8 to 8 computations (0% saved)

regimes7.0ms (0.1%)

Memory
17.6MiB live, 17.6MiB allocated; 0ms collecting garbage
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 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #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) #s(approx (+ (* -1/6 (* y y)) 1) (*.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))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 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) (/ (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 y y) (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.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(approx (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) #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 (*.f64 y y) #s(literal 1/120 binary64)) #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 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #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(approx (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #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 (-.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 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #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 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(approx (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) #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
(*.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 (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y))
(*.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 (-.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:

5.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Results
AccuracySegmentsBranch
94.4%3(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes12.0ms (0.1%)

Memory
-24.8MiB live, 21.2MiB allocated; 3ms collecting garbage
Counts
19 → 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 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #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) #s(approx (+ (* -1/6 (* y y)) 1) (*.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))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 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) (/ (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 y y) (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.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(approx (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) #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 (*.f64 y y) #s(literal 1/120 binary64)) #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 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #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(approx (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #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 (-.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 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y))
Outputs
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y))
(*.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 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
Calls

2 calls:

7.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
4.0ms
(cosh.f64 x)
Results
AccuracySegmentsBranch
87.0%2(cosh.f64 x)
93.6%3(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Compiler

Compiled 9 to 9 computations (0% saved)

regimes27.0ms (0.3%)

Memory
1.1MiB live, 48.0MiB allocated; 1ms collecting garbage
Counts
18 → 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 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #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) #s(approx (+ (* -1/6 (* y y)) 1) (*.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))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 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) (/ (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 y y) (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.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(approx (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) #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 (*.f64 y y) #s(literal 1/120 binary64)) #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 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #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(approx (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #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 (-.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 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
Outputs
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.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 (-.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:

7.0ms
y
5.0ms
x
5.0ms
(/.f64 (sin.f64 y) y)
4.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
4.0ms
(cosh.f64 x)
Results
AccuracySegmentsBranch
59.4%1(cosh.f64 x)
59.4%1y
66.2%2(/.f64 (sin.f64 y) y)
59.4%1x
66.2%2(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes10.0ms (0.1%)

Memory
19.3MiB live, 19.2MiB allocated; 0ms collecting garbage
Counts
16 → 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 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #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) #s(approx (+ (* -1/6 (* y y)) 1) (*.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))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 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) (/ (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 y y) (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.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(approx (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) #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 (*.f64 y y) #s(literal 1/120 binary64)) #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 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #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(approx (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
Outputs
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
Calls

2 calls:

5.0ms
(/.f64 (sin.f64 y) y)
4.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Results
AccuracySegmentsBranch
65.7%2(/.f64 (sin.f64 y) y)
65.7%2(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Compiler

Compiled 11 to 10 computations (9.1% saved)

regimes18.0ms (0.2%)

Memory
-35.0MiB live, 20.5MiB allocated; 5ms collecting garbage
Counts
15 → 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 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #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) #s(approx (+ (* -1/6 (* y y)) 1) (*.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))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 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) (/ (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 y y) (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.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(approx (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) #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 (*.f64 y y) #s(literal 1/120 binary64)) #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 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #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(approx (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) #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) (fma.f64 (-.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.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 (*.f64 y y) #s(literal 1/120 binary64)) #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(approx (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
Calls

2 calls:

13.0ms
(/.f64 (sin.f64 y) y)
4.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Results
AccuracySegmentsBranch
66.4%3(/.f64 (sin.f64 y) y)
63.0%2(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Compiler

Compiled 11 to 10 computations (9.1% saved)

regimes5.0ms (0%)

Memory
13.8MiB live, 13.8MiB allocated; 0ms collecting garbage
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 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #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) #s(approx (+ (* -1/6 (* y y)) 1) (*.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))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 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) (/ (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 y y) (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.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(approx (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) #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 (*.f64 y y) #s(literal 1/120 binary64)) #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 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #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) (fma.f64 (-.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.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 (*.f64 y y) #s(literal 1/120 binary64)) #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(approx (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
Calls

1 calls:

4.0ms
(/.f64 (sin.f64 y) y)
Results
AccuracySegmentsBranch
65.5%3(/.f64 (sin.f64 y) y)
Compiler

Compiled 4 to 4 computations (0% saved)

regimes21.0ms (0.2%)

Memory
2.8MiB live, 47.6MiB allocated; 4ms collecting garbage
Counts
12 → 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 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #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) #s(approx (+ (* -1/6 (* y y)) 1) (*.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))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 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) (/ (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 y y) (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.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(approx (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) #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) (fma.f64 (-.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #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(approx (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
Calls

5 calls:

6.0ms
y
4.0ms
x
4.0ms
(/.f64 (sin.f64 y) y)
3.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
3.0ms
(cosh.f64 x)
Results
AccuracySegmentsBranch
49.8%1(cosh.f64 x)
52.7%2x
56.5%2y
49.8%1(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
62.2%3(/.f64 (sin.f64 y) y)
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes4.0ms (0%)

Memory
10.0MiB live, 10.0MiB allocated; 0ms collecting garbage
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 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #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) #s(approx (+ (* -1/6 (* y y)) 1) (*.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))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 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) (/ (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 y y) (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
Outputs
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #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

1 calls:

3.0ms
(/.f64 (sin.f64 y) y)
Results
AccuracySegmentsBranch
59.7%3(/.f64 (sin.f64 y) y)
Compiler

Compiled 4 to 4 computations (0% saved)

regimes4.0ms (0%)

Memory
10.5MiB live, 10.4MiB allocated; 0ms collecting garbage
Counts
10 → 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 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #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) #s(approx (+ (* -1/6 (* y y)) 1) (*.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))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 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) (/ (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))))
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 (*.f64 y y) #s(literal 1/120 binary64)) #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

1 calls:

3.0ms
(/.f64 (sin.f64 y) y)
Results
AccuracySegmentsBranch
59.0%3(/.f64 (sin.f64 y) y)
Compiler

Compiled 4 to 4 computations (0% saved)

regimes11.0ms (0.1%)

Memory
-16.2MiB live, 28.5MiB allocated; 3ms collecting garbage
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 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #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) #s(approx (+ (* -1/6 (* y y)) 1) (*.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))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
Outputs
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #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

3 calls:

5.0ms
(/.f64 (sin.f64 y) y)
3.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
51.6%2x
41.1%1y
47.2%2(/.f64 (sin.f64 y) y)
Compiler

Compiled 6 to 8 computations (-33.3% saved)

regimes12.0ms (0.1%)

Memory
-12.0MiB live, 31.7MiB allocated; 4ms collecting garbage
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 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #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) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
Outputs
(*.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) #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 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
Calls

4 calls:

5.0ms
(/.f64 (sin.f64 y) y)
2.0ms
x
2.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
2.0ms
(cosh.f64 x)
Results
AccuracySegmentsBranch
47.2%2(/.f64 (sin.f64 y) y)
41.1%1(cosh.f64 x)
47.2%2(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
41.1%1x
Compiler

Compiled 14 to 15 computations (-7.1% saved)

regimes4.0ms (0%)

Memory
14.7MiB live, 14.7MiB allocated; 0ms collecting garbage
Counts
5 → 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 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #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 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
Calls

2 calls:

2.0ms
(/.f64 (sin.f64 y) y)
2.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Results
AccuracySegmentsBranch
44.3%2(/.f64 (sin.f64 y) y)
44.3%2(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Compiler

Compiled 11 to 10 computations (9.1% saved)

regimes9.0ms (0.1%)

Memory
26.9MiB live, 26.9MiB allocated; 0ms collecting garbage
Counts
4 → 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))))
Outputs
#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))))
Calls

5 calls:

2.0ms
x
2.0ms
y
2.0ms
(/.f64 (sin.f64 y) y)
2.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
1.0ms
(cosh.f64 x)
Results
AccuracySegmentsBranch
32.2%1(cosh.f64 x)
32.2%1x
32.2%1y
32.2%1(/.f64 (sin.f64 y) y)
32.2%1(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes12.0ms (0.1%)

Memory
-36.3MiB live, 19.3MiB allocated; 5ms collecting garbage
Counts
3 → 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))))
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
(/.f64 (sin.f64 y) y)
2.0ms
x
2.0ms
y
1.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
1.0ms
(cosh.f64 x)
Results
AccuracySegmentsBranch
32.2%1y
32.2%1(cosh.f64 x)
32.2%1(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
32.2%1x
32.2%1(/.f64 (sin.f64 y) y)
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes6.0ms (0.1%)

Memory
20.0MiB live, 20.1MiB allocated; 0ms collecting garbage
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 (*.f64 #s(literal -1/6 binary64) y) y))))
Calls

5 calls:

1.0ms
y
1.0ms
x
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
4.6%1y
4.6%1(cosh.f64 x)
4.6%1(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
4.6%1x
4.6%1(/.f64 (sin.f64 y) y)
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes7.0ms (0.1%)

Memory
-27.3MiB live, 19.7MiB allocated; 2ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 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)))))
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:

2.0ms
(cosh.f64 x)
1.0ms
y
1.0ms
x
1.0ms
(/.f64 (sin.f64 y) y)
1.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Results
AccuracySegmentsBranch
4.6%1(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
4.6%1x
4.6%1(cosh.f64 x)
4.6%1y
4.6%1(/.f64 (sin.f64 y) y)
Compiler

Compiled 15 to 17 computations (-13.3% saved)

bsearch1.0ms (0%)

Memory
1.8MiB live, 1.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999569473440688
0.9999999669722779
0.0ms
-inf
-1.976358876836341e-5
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999569473440688
0.9999999669722779
0.0ms
-inf
-1.976358876836341e-5
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999569473440688
0.9999999669722779
0.0ms
-inf
-1.976358876836341e-5
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999569473440688
0.9999999669722779
0.0ms
-inf
-1.976358876836341e-5
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-3.521062005187398e-304
6.940298987456326e-294
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-3.521062005187398e-304
6.940298987456326e-294
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999669722779
1.0
0.0ms
-3.521062005187398e-304
2.1066624987284682e-304
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999669722779
1.0
0.0ms
-3.521062005187398e-304
2.1066624987284682e-304
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999669722779
1.0
0.0ms
-3.521062005187398e-304
2.1066624987284682e-304
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999669722779
1.0
0.0ms
-3.521062005187398e-304
2.1066624987284682e-304
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999669722779
1.0
0.0ms
-3.521062005187398e-304
2.1066624987284682e-304
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch18.0ms (0.2%)

Memory
-10.7MiB live, 35.7MiB allocated; 3ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
16.0ms
2.8359385173281983e+120
1.1219444368366056e+123
Samples
11.0ms128×0valid
Compiler

Compiled 434 to 315 computations (27.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-sin: 5.0ms (64.1% of total)
ival-cosh: 2.0ms (25.6% of total)
ival-div: 1.0ms (12.8% of total)
ival-mult: 1.0ms (12.8% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.3981742255081364e-152
-4.005842206162139e-159
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-3.521062005187398e-304
6.940298987456326e-294
Compiler

Compiled 10 to 11 computations (-10% saved)

simplify61.0ms (0.6%)

Memory
33.2MiB live, 79.8MiB allocated; 2ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01301243
11741243
23101243
36621243
413161243
551991243
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 (cosh.f64 x) #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 4503419483385401/4503599627370496 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 (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 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 (cosh.f64 x) #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 4503419483385401/4503599627370496 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 (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 (-.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 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 (cosh.f64 x) #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 4503419483385401/4503599627370496 binary64)) #s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) (*.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 (-.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 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -inf.0 binary64)) #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 4503419483385401/4503599627370496 binary64)) #s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) (*.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 (-.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 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -4941461262385513/24707306311927565716857342128774085333197833223161879682238935306082805123046306993647507776054336486228891340858985829027076261887914242781617846672453431386903982455635542158748401823985988322905245077938567513252198179128990807936780194781391547404884040101606295111368825026273254703636026307207764436438929167613952 binary64)) #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (*.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 (-.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 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -4941461262385513/24707306311927565716857342128774085333197833223161879682238935306082805123046306993647507776054336486228891340858985829027076261887914242781617846672453431386903982455635542158748401823985988322905245077938567513252198179128990807936780194781391547404884040101606295111368825026273254703636026307207764436438929167613952 binary64)) #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -4941461262385513/24707306311927565716857342128774085333197833223161879682238935306082805123046306993647507776054336486228891340858985829027076261887914242781617846672453431386903982455635542158748401823985988322905245077938567513252198179128990807936780194781391547404884040101606295111368825026273254703636026307207764436438929167613952 binary64)) #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 4503599478626859/4503599627370496 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 (*.f64 y y) #s(literal 1/120 binary64)) #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(approx (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -4941461262385513/24707306311927565716857342128774085333197833223161879682238935306082805123046306993647507776054336486228891340858985829027076261887914242781617846672453431386903982455635542158748401823985988322905245077938567513252198179128990807936780194781391547404884040101606295111368825026273254703636026307207764436438929167613952 binary64)) #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 4503599478626859/4503599627370496 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 (*.f64 y y) #s(literal 1/120 binary64)) #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(approx (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -4941461262385513/24707306311927565716857342128774085333197833223161879682238935306082805123046306993647507776054336486228891340858985829027076261887914242781617846672453431386903982455635542158748401823985988322905245077938567513252198179128990807936780194781391547404884040101606295111368825026273254703636026307207764436438929167613952 binary64)) #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 4503599478626859/4503599627370496 binary64)) #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #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(approx (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -4941461262385513/24707306311927565716857342128774085333197833223161879682238935306082805123046306993647507776054336486228891340858985829027076261887914242781617846672453431386903982455635542158748401823985988322905245077938567513252198179128990807936780194781391547404884040101606295111368825026273254703636026307207764436438929167613952 binary64)) #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 4503599478626859/4503599627370496 binary64)) #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #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 (/.f64 (sin.f64 y) y) #s(literal -4941461262385513/24707306311927565716857342128774085333197833223161879682238935306082805123046306993647507776054336486228891340858985829027076261887914242781617846672453431386903982455635542158748401823985988322905245077938567513252198179128990807936780194781391547404884040101606295111368825026273254703636026307207764436438929167613952 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 4503599478626859/4503599627370496 binary64)) #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #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 499999999999999988854984865702064835028992148797460788696041661331245645444919943038933279420753815842378761035475675250688 binary64)) #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #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 -4717453031026927/471745303102692669030194322623533611364615152552055053547025787530703020299018606510765840647207345942683546878845480612471323078740599079070179281429087005456174415872 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) #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 (*.f64 y y) #s(literal 1/120 binary64)) #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 -4941461262385513/24707306311927565716857342128774085333197833223161879682238935306082805123046306993647507776054336486228891340858985829027076261887914242781617846672453431386903982455635542158748401823985988322905245077938567513252198179128990807936780194781391547404884040101606295111368825026273254703636026307207764436438929167613952 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 (*.f64 y y) #s(literal 1/120 binary64)) #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 #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 #s(literal -1/6 binary64) 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)))))
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 (cosh.f64 x) #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 4503419483385401/4503599627370496 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 (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 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 (cosh.f64 x) #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 4503419483385401/4503599627370496 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 (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 (-.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 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 (cosh.f64 x) #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 4503419483385401/4503599627370496 binary64)) #s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) (*.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 (-.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 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -inf.0 binary64)) #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 4503419483385401/4503599627370496 binary64)) #s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) (*.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 (-.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 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -4941461262385513/24707306311927565716857342128774085333197833223161879682238935306082805123046306993647507776054336486228891340858985829027076261887914242781617846672453431386903982455635542158748401823985988322905245077938567513252198179128990807936780194781391547404884040101606295111368825026273254703636026307207764436438929167613952 binary64)) #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (*.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 (-.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 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -4941461262385513/24707306311927565716857342128774085333197833223161879682238935306082805123046306993647507776054336486228891340858985829027076261887914242781617846672453431386903982455635542158748401823985988322905245077938567513252198179128990807936780194781391547404884040101606295111368825026273254703636026307207764436438929167613952 binary64)) #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -4941461262385513/24707306311927565716857342128774085333197833223161879682238935306082805123046306993647507776054336486228891340858985829027076261887914242781617846672453431386903982455635542158748401823985988322905245077938567513252198179128990807936780194781391547404884040101606295111368825026273254703636026307207764436438929167613952 binary64)) #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 4503599478626859/4503599627370496 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 (*.f64 y y) #s(literal 1/120 binary64)) #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(approx (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -4941461262385513/24707306311927565716857342128774085333197833223161879682238935306082805123046306993647507776054336486228891340858985829027076261887914242781617846672453431386903982455635542158748401823985988322905245077938567513252198179128990807936780194781391547404884040101606295111368825026273254703636026307207764436438929167613952 binary64)) #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 4503599478626859/4503599627370496 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 (*.f64 y y) #s(literal 1/120 binary64)) #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(approx (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -4941461262385513/24707306311927565716857342128774085333197833223161879682238935306082805123046306993647507776054336486228891340858985829027076261887914242781617846672453431386903982455635542158748401823985988322905245077938567513252198179128990807936780194781391547404884040101606295111368825026273254703636026307207764436438929167613952 binary64)) #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 4503599478626859/4503599627370496 binary64)) #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #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(approx (+ (* (pow y 4) -1/5040) (- (* 1/120 (* y y)) 1/6)) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -4941461262385513/24707306311927565716857342128774085333197833223161879682238935306082805123046306993647507776054336486228891340858985829027076261887914242781617846672453431386903982455635542158748401823985988322905245077938567513252198179128990807936780194781391547404884040101606295111368825026273254703636026307207764436438929167613952 binary64)) #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 4503599478626859/4503599627370496 binary64)) #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #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 (/.f64 (sin.f64 y) y) #s(literal -4941461262385513/24707306311927565716857342128774085333197833223161879682238935306082805123046306993647507776054336486228891340858985829027076261887914242781617846672453431386903982455635542158748401823985988322905245077938567513252198179128990807936780194781391547404884040101606295111368825026273254703636026307207764436438929167613952 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 4503599478626859/4503599627370496 binary64)) #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #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 -4941461262385513/24707306311927565716857342128774085333197833223161879682238935306082805123046306993647507776054336486228891340858985829027076261887914242781617846672453431386903982455635542158748401823985988322905245077938567513252198179128990807936780194781391547404884040101606295111368825026273254703636026307207764436438929167613952 binary64)) (not (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 4503599478626859/4503599627370496 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 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal 499999999999999988854984865702064835028992148797460788696041661331245645444919943038933279420753815842378761035475675250688 binary64)) #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #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 -4717453031026927/471745303102692669030194322623533611364615152552055053547025787530703020299018606510765840647207345942683546878845480612471323078740599079070179281429087005456174415872 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) #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 (*.f64 y y) #s(literal 1/120 binary64)) #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 -4941461262385513/24707306311927565716857342128774085333197833223161879682238935306082805123046306993647507776054336486228891340858985829027076261887914242781617846672453431386903982455635542158748401823985988322905245077938567513252198179128990807936780194781391547404884040101606295111368825026273254703636026307207764436438929167613952 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 (*.f64 y y) #s(literal 1/120 binary64)) #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 #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 #s(literal -1/6 binary64) 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)))))

derivations1.3s (12.8%)

Memory
-16.3MiB live, 1 470.7MiB allocated; 154ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0204896
1764766
23385725
08215673
047339
077339
1268327
21757327
08425319
0116480
1375450
21523436
37542432
08109408
083332
1320302
21435282
37647278
08263252
0229948
1859823
23717790
08369739
045318
070318
1238314
21650314
08336314
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 1 243 to 139 computations (88.8% saved)

preprocess208.0ms (2.1%)

Memory
30.7MiB live, 347.9MiB allocated; 96ms collecting garbage
Remove

(abs x)

(abs y)

Compiler

Compiled 2 570 to 350 computations (86.4% saved)

end0.0ms (0%)

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

Profiling

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