Linear.Quaternion:$csinh from linear-1.19.1.3

Time bar (total: 11.5s)

analyze15.0ms (0.1%)

Memory
32.9MiB live, 32.9MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
93.8%93.7%6.2%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
96.9%96.8%3.1%0.1%0%0%0%12
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.1s (9.1%)

Memory
-10.3MiB live, 1 464.5MiB allocated
Samples
817.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 598.0ms
ival-sin: 234.0ms (39.1% of total)
ival-div: 193.0ms (32.3% of total)
ival-cosh: 108.0ms (18.1% of total)
ival-mult: 53.0ms (8.9% of total)
ival-true: 6.0ms (1% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

preprocess123.0ms (1.1%)

Memory
2.4MiB live, 86.0MiB allocated
Algorithm
egg-herbie
Rules
1 408×div-sub
1 266×distribute-lft-in
1 178×distribute-rgt-in
796×sub-neg
704×distribute-lft-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01841
16137
218637
349037
4160037
5331537
6480337
7579037
8616437
9625737
10628137
11759937
067
0107
1197
2347
3607
4967
51367
62087
73547
87137
97867
108297
118297
08297
Stop Event
iter limit
saturated
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))
Symmetry

(abs y)

(abs x)

explain82.0ms (0.7%)

Memory
11.3MiB live, 166.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(sin.f64 y)
00-0-y
00-0-(/.f64 (sin.f64 y) y)
00-0-(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
00-0-(cosh.f64 x)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
45.0ms512×0valid
Compiler

Compiled 56 to 28 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-sin: 15.0ms (46.2% of total)
ival-div: 9.0ms (27.7% of total)
ival-cosh: 5.0ms (15.4% of total)
ival-mult: 3.0ms (9.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify27.0ms (0.2%)

Memory
1.2MiB live, 38.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 y)
cost-diff0
(/.f64 (sin.f64 y) y)
cost-diff0
(cosh.f64 x)
cost-diff0
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Rules
420×lower-*.f32
418×lower-*.f64
276×times-frac
234×associate-*l*
220×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0617
01017
11917
23417
36017
49617
513617
620817
735417
871317
978617
1082917
1182917
082917
Stop Event
iter limit
saturated
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))
(cosh.f64 x)
x
(/.f64 (sin.f64 y) y)
(sin.f64 y)
y

localize30.0ms (0.3%)

Memory
-22.4MiB live, 52.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
accuracy100.0%
(sin.f64 y)
accuracy100.0%
(cosh.f64 x)
accuracy99.8%
(/.f64 (sin.f64 y) y)
Samples
20.0ms256×0valid
Compiler

Compiled 19 to 8 computations (57.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-sin: 7.0ms (50.6% of total)
ival-cosh: 3.0ms (21.7% of total)
ival-div: 2.0ms (14.5% of total)
ival-mult: 1.0ms (7.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
25.1MiB live, 25.1MiB allocated
Counts
4 → 60
Calls
Call 1
Inputs
#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())
#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())
Outputs
#s(alt (/ (sin y) y) (taylor 0 x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) (taylor 0 x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)) (taylor 0 x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* (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)) (taylor 0 x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor inf x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor inf x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor inf x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor inf x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor 0 y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) (taylor 0 y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 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)))))))) (taylor 0 y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 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))))))))) (taylor 0 y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor inf y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor inf y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor inf y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor inf y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (pow x 2))) (taylor 0 x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) (taylor 0 x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (taylor 0 x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/6 (pow y 2))) (taylor 0 y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) (taylor 0 y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (taylor 0 y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) y) (taylor inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) y) (taylor inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) y) (taylor inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) y) (taylor inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) y) (taylor -inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) y) (taylor -inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) y) (taylor -inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) y) (taylor -inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1/6 (pow y 2)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
Calls

15 calls:

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

simplify520.0ms (4.5%)

Memory
-16.4MiB live, 749.4MiB allocated
Algorithm
egg-herbie
Rules
21 860×lower-fma.f64
21 860×lower-fma.f32
6 160×lower-+.f64
6 160×lower-+.f32
4 408×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083638
1268614
2943588
33164569
08073539
Stop Event
iter limit
node limit
Counts
60 → 59
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))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 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)))))))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) 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 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
1
(+ 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)))
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
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)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(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 #s(literal 1/2 binary64) (*.f64 x x) #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 (/.f64 (sin.f64 y) y) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(+ (* (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 (*.f64 x x) (*.f64 (/.f64 (sin.f64 y) y) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) (/.f64 (sin.f64 y) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (sin.f64 y) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (sin.f64 y) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (sin.f64 y) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (sin.f64 y) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (sin.f64 y) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (sin.f64 y) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (sin.f64 y) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (sin.f64 y) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.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 x) (exp.f64 (neg.f64 x))) (fma.f64 y (*.f64 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))))))))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/240 binary64)) #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)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 (fma.f64 y (*.f64 y #s(literal -1/10080 binary64)) #s(literal 1/240 binary64)) (*.f64 y (*.f64 y (*.f64 y y))) (fma.f64 y (*.f64 y #s(literal -1/12 binary64)) #s(literal 1/2 binary64))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (sin.f64 y) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (sin.f64 y) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (sin.f64 y) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (sin.f64 y) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (sin.f64 y) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (sin.f64 y) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (sin.f64 y) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (sin.f64 y) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)

rewrite227.0ms (2%)

Memory
14.3MiB live, 443.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 572×lower-*.f32
5 570×lower-*.f64
4 692×lower-/.f32
4 690×lower-/.f64
1 418×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
01015
12715
213015
3102515
0843815
Stop Event
iter limit
node limit
iter limit
Counts
4 → 453
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 (cosh.f64 x) y)) #s(literal 0 binary64)) (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))
(+.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (cosh.f64 x) y))) (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 (cosh.f64 x) (sin.f64 y)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) (neg.f64 y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x))) (/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) (neg.f64 y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 y (cosh.f64 x))) (/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) (neg.f64 y)))
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (*.f64 y (/.f64 #s(literal 2 binary64) (sin.f64 y)))) (/.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (*.f64 y (/.f64 #s(literal 2 binary64) (sin.f64 y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 y (sin.f64 y)) #s(literal -2 binary64))) (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (/.f64 y (sin.f64 y)) #s(literal -2 binary64))))
(fma.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (cosh.f64 x) y)) (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))
(fma.f64 (neg.f64 (/.f64 (cosh.f64 x) y)) #s(literal 0 binary64) (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))
(neg.f64 (/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) (neg.f64 y)))
(neg.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (/.f64 y (sin.f64 y)) #s(literal -2 binary64))))
(neg.f64 (/.f64 (neg.f64 (cosh.f64 x)) (/.f64 y (sin.f64 y))))
(neg.f64 (*.f64 (*.f64 (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sin.f64 y))) (/.f64 #s(literal -1/2 binary64) y)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 (cosh.f64 x) (sin.f64 y)))))
(neg.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal -2 binary64)) (*.f64 y (/.f64 #s(literal 2 binary64) (sin.f64 y)))))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
(/.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 1 binary64))
(/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 y (/.f64 #s(literal 2 binary64) (sin.f64 y))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 y (/.f64 #s(literal 2 binary64) (sin.f64 y))) (/.f64 #s(literal 1 binary64) (cosh.f64 x))))
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (/.f64 y (cosh.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (cosh.f64 x) (sin.f64 y))))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 x) (sin.f64 y))))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 y))))
(/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) y)
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) (*.f64 (cosh.f64 x) (sin.f64 y))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 #s(literal -1 binary64) (cosh.f64 x))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (neg.f64 (/.f64 y (cosh.f64 x)))))
(/.f64 (*.f64 (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sin.f64 y))) (*.f64 y #s(literal 2 binary64)))
(/.f64 (*.f64 (sin.f64 y) (*.f64 (cosh.f64 x) #s(literal -2 binary64))) (*.f64 y #s(literal -2 binary64)))
(/.f64 (*.f64 (cosh.f64 x) (neg.f64 (sin.f64 y))) (neg.f64 y))
(/.f64 (*.f64 (cosh.f64 x) #s(literal -2 binary64)) (*.f64 (/.f64 y (sin.f64 y)) #s(literal -2 binary64)))
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) (*.f64 (/.f64 y (sin.f64 y)) (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (-.f64 (neg.f64 x) x))))))
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) (*.f64 (*.f64 y (/.f64 #s(literal 2 binary64) (sin.f64 y))) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (-.f64 (neg.f64 x) x)))))
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) (*.f64 (*.f64 y (/.f64 #s(literal 2 binary64) (sin.f64 y))) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (expm1.f64 (+.f64 x x)))))
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) (*.f64 (*.f64 (/.f64 y (sin.f64 y)) #s(literal -2 binary64)) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (-.f64 (neg.f64 x) x))))))
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 y (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (-.f64 (neg.f64 x) x)))) (sin.f64 y))))
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (-.f64 (neg.f64 x) x))) y) (sin.f64 y))))
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) (*.f64 (/.f64 y (sin.f64 y)) (*.f64 #s(literal 4 binary64) (sinh.f64 x))))
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) (*.f64 (*.f64 y (/.f64 #s(literal 2 binary64) (sin.f64 y))) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) (*.f64 (*.f64 (/.f64 y (sin.f64 y)) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (sinh.f64 x))))
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (sinh.f64 x)) (sin.f64 y))))
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 x) y)) (sin.f64 y))))
(/.f64 (neg.f64 (/.f64 (sin.f64 y) y)) (/.f64 #s(literal -1 binary64) (cosh.f64 x)))
(/.f64 (/.f64 (cosh.f64 x) y) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(/.f64 (*.f64 (cosh.f64 x) (/.f64 (*.f64 (sin.f64 y) #s(literal 2 binary64)) y)) #s(literal 2 binary64))
(/.f64 (*.f64 (sin.f64 y) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) (*.f64 (*.f64 y #s(literal 2 binary64)) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (-.f64 (neg.f64 x) x)))))
(/.f64 (*.f64 (sin.f64 y) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) (*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (-.f64 (neg.f64 x) x))))))
(/.f64 (*.f64 (sin.f64 y) (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x))) (*.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
(/.f64 (*.f64 (sin.f64 y) (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x))) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 y #s(literal 2 binary64)) (sinh.f64 x))))
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(*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (-.f64 (neg.f64 x) x)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)))
(*.f64 (/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) (pow.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 (+.f64 x x) (+.f64 x x))) (-.f64 (pow.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))))))
(*.f64 (/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (+.f64 (+.f64 x x) (+.f64 x x))) (pow.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) #s(literal 2 binary64)))) (fma.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1 binary64))))
(+.f64 #s(literal 0 binary64) (/.f64 (sin.f64 y) y))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64)) (/.f64 (sin.f64 y) y))
(exp.f64 (*.f64 (log.f64 (/.f64 y (sin.f64 y))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (sin.f64 y) y)))
(fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64) (/.f64 (sin.f64 y) y))
(neg.f64 (neg.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)
(/.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64))
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (sin.f64 y))))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(/.f64 (neg.f64 (/.f64 (sin.f64 y) y)) #s(literal -1 binary64))
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 (neg.f64 y) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) #s(literal 0 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (*.f64 (neg.f64 y) (sin.f64 y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (/.f64 y (sin.f64 y)))) (neg.f64 y)) (*.f64 (neg.f64 y) (neg.f64 (/.f64 y (sin.f64 y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (sin.f64 y))) (*.f64 y y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (neg.f64 (sin.f64 y)))) (*.f64 (neg.f64 y) y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (/.f64 (sin.f64 y) y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 (/.f64 (sin.f64 y) y)) (neg.f64 (/.f64 (sin.f64 y) y)) (*.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (sin.f64 y) y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (/.f64 (sin.f64 y) y)) (neg.f64 (/.f64 (sin.f64 y) y)))) (neg.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) #s(literal 0 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))) (sin.f64 y))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) y)) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) #s(literal 0 binary64)))
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (/.f64 #s(literal -1 binary64) y)) (sin.f64 y))
(pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64))
(pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 y (sin.f64 y)))) #s(literal -1 binary64))
(*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (/.f64 (sin.f64 y) y)) #s(literal -1 binary64))
(*.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (sin.f64 y)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 y))))
(*.f64 (*.f64 (sin.f64 y) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (*.f64 y (*.f64 y y)))) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (*.f64 y y))) y)
(+.f64 #s(literal 0 binary64) (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y)))
(-.f64 (*.f64 (sin.f64 #s(literal 0 binary64)) (cos.f64 (neg.f64 y))) (*.f64 (cos.f64 #s(literal 0 binary64)) (sin.f64 (neg.f64 y))))
(sin.f64 y)
(neg.f64 (neg.f64 (sin.f64 y)))
(neg.f64 (sin.f64 (neg.f64 y)))
(/.f64 (sin.f64 y) #s(literal 1 binary64))
(/.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) #s(literal 0 binary64))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) #s(literal 0 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (neg.f64 (sin.f64 y)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) #s(literal 0 binary64)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))) (sin.f64 y))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (sin.f64 y)) #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))) (sin.f64 y))
(pow.f64 (sin.f64 y) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1 binary64))
(*.f64 (sin.f64 y) #s(literal 1 binary64))
(*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 y))
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1/2 binary64)))

eval105.0ms (0.9%)

Memory
-15.9MiB live, 112.6MiB allocated
Compiler

Compiled 8 536 to 1 228 computations (85.6% saved)

prune89.0ms (0.8%)

Memory
17.1MiB live, 210.6MiB allocated
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New49913512
Fresh000
Picked101
Done000
Total50013513
Accuracy
100.0%
Counts
513 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(/.f64 (/.f64 (cosh.f64 x) y) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
99.9%
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
99.5%
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y))))
99.8%
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
55.4%
(*.f64 (cosh.f64 x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (sin.f64 y))) (*.f64 y y)))
62.4%
(*.f64 (cosh.f64 x) (/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 (neg.f64 y) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) #s(literal 0 binary64)))))
53.9%
(*.f64 (cosh.f64 x) (/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (*.f64 (neg.f64 y) (sin.f64 y))))
61.2%
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
60.3%
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
88.0%
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
90.3%
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
80.1%
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
52.8%
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y))
Compiler

Compiled 374 to 250 computations (33.2% saved)

simplify211.0ms (1.8%)

Memory
7.0MiB live, 397.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (cosh.f64 x) (/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (*.f64 (neg.f64 y) (sin.f64 y))))
cost-diff128
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))
cost-diff128
(neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
cost-diff128
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (*.f64 (neg.f64 y) (sin.f64 y)))
cost-diff0
(sin.f64 y)
cost-diff0
(cosh.f64 x)
cost-diff0
(/.f64 (cosh.f64 x) y)
cost-diff0
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
cost-diff0
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
cost-diff0
#s(approx (/ (sin y) y) #s(literal 1 binary64))
cost-diff0
(cosh.f64 x)
cost-diff0
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
cost-diff0
(sin.f64 y)
cost-diff0
(/.f64 y (sin.f64 y))
cost-diff0
(cosh.f64 x)
cost-diff384
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
Rules
4 894×lower-fma.f32
4 892×lower-fma.f64
3 512×lower-*.f32
3 496×lower-*.f64
1 944×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030173
051173
192170
2208168
3779168
44012168
56745168
08003164
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(cosh.f64 x)
x
(/.f64 y (sin.f64 y))
y
(sin.f64 y)
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(cosh.f64 x)
x
#s(approx (/ (sin y) y) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.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 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
(/.f64 (sin.f64 y) y)
(sin.f64 y)
y
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(/.f64 (cosh.f64 x) y)
(cosh.f64 x)
x
y
(sin.f64 y)
(*.f64 (cosh.f64 x) (/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (*.f64 (neg.f64 y) (sin.f64 y))))
(cosh.f64 x)
x
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (*.f64 (neg.f64 y) (sin.f64 y)))
(neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))
(cos.f64 (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
(*.f64 (neg.f64 y) (sin.f64 y))
(neg.f64 y)
(sin.f64 y)
Outputs
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(cosh.f64 x)
x
(/.f64 y (sin.f64 y))
y
(sin.f64 y)
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(cosh.f64 x)
x
#s(approx (/ (sin y) y) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
(/.f64 (sin.f64 y) y)
(sin.f64 y)
y
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(/.f64 (cosh.f64 x) y)
(cosh.f64 x)
x
y
(sin.f64 y)
(*.f64 (cosh.f64 x) (/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (*.f64 (neg.f64 y) (sin.f64 y))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) (/.f64 (cosh.f64 x) (*.f64 y (sin.f64 y))))
(cosh.f64 x)
x
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (*.f64 (neg.f64 y) (sin.f64 y)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 y (sin.f64 y)))
(neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))
(cos.f64 (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
(*.f64 (neg.f64 y) (sin.f64 y))
(neg.f64 (*.f64 y (sin.f64 y)))
(neg.f64 y)
(sin.f64 y)

localize364.0ms (3.2%)

Memory
-31.7MiB live, 229.8MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(cos.f64 (*.f64 y #s(literal 2 binary64)))
accuracy99.8%
(*.f64 (neg.f64 y) (sin.f64 y))
accuracy78.9%
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (*.f64 (neg.f64 y) (sin.f64 y)))
accuracy75.7%
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))
accuracy100.0%
(sin.f64 y)
accuracy100.0%
(cosh.f64 x)
accuracy100.0%
(/.f64 (cosh.f64 x) y)
accuracy99.8%
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
accuracy100.0%
(sin.f64 y)
accuracy100.0%
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
accuracy99.8%
(/.f64 (sin.f64 y) y)
accuracy80.4%
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
accuracy100.0%
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
accuracy100.0%
(cosh.f64 x)
accuracy48.6%
#s(approx (/ (sin y) y) #s(literal 1 binary64))
accuracy100.0%
(sin.f64 y)
accuracy100.0%
(cosh.f64 x)
accuracy99.9%
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
accuracy99.8%
(/.f64 y (sin.f64 y))
Samples
207.0ms54×2valid
53.0ms138×0valid
20.0ms15×3valid
15.0ms49×1valid
Compiler

Compiled 158 to 27 computations (82.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 270.0ms
ival-mult: 189.0ms (70% of total)
ival-sin: 25.0ms (9.3% of total)
ival-cos: 20.0ms (7.4% of total)
ival-div: 18.0ms (6.7% of total)
adjust: 6.0ms (2.2% of total)
ival-cosh: 4.0ms (1.5% of total)
ival-sub: 4.0ms (1.5% of total)
ival-neg: 3.0ms (1.1% of total)
ival-add: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series33.0ms (0.3%)

Memory
-1.8MiB live, 74.8MiB allocated
Counts
19 → 300
Calls
Call 1
Inputs
#s(alt (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) (patch (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) #<representation binary64>) () ())
#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())
#s(alt (/.f64 y (sin.f64 y)) (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ())
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())
#s(alt (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (sin y) y) #s(literal 1 binary64)) (patch #s(approx (/ (sin y) y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (patch (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())
#s(alt #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) (patch (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) #<representation binary64>) () ())
#s(alt (/.f64 (cosh.f64 x) y) (patch (/.f64 (cosh.f64 x) y) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (*.f64 (neg.f64 y) (sin.f64 y))) (patch (/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (*.f64 (neg.f64 y) (sin.f64 y))) #<representation binary64>) () ())
#s(alt (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (patch (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (patch (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (*.f64 (cosh.f64 x) (/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (*.f64 (neg.f64 y) (sin.f64 y)))) (patch (*.f64 (cosh.f64 x) (/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (*.f64 (neg.f64 y) (sin.f64 y)))) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 y) (sin.f64 y)) (patch (*.f64 (neg.f64 y) (sin.f64 y)) #<representation binary64>) () ())
#s(alt (cos.f64 (*.f64 y #s(literal 2 binary64))) (patch (cos.f64 (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())
Outputs
#s(alt (/ (sin y) y) (taylor 0 x) (#s(alt (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) (patch (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) (taylor 0 x) (#s(alt (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) (patch (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)) (taylor 0 x) (#s(alt (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) (patch (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* (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)) (taylor 0 x) (#s(alt (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) (patch (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor inf x) (#s(alt (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) (patch (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor inf x) (#s(alt (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) (patch (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor inf x) (#s(alt (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) (patch (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor inf x) (#s(alt (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) (patch (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) (patch (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) (patch (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) (patch (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) (patch (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor 0 y) (#s(alt (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) (patch (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) (taylor 0 y) (#s(alt (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) (patch (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 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)))))))) (taylor 0 y) (#s(alt (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) (patch (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 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))))))))) (taylor 0 y) (#s(alt (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) (patch (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor inf y) (#s(alt (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) (patch (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor inf y) (#s(alt (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) (patch (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor inf y) (#s(alt (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) (patch (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor inf y) (#s(alt (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) (patch (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf y) (#s(alt (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) (patch (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf y) (#s(alt (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) (patch (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf y) (#s(alt (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) (patch (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf y) (#s(alt (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) (patch (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (pow x 2))) (taylor 0 x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) (taylor 0 x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (taylor 0 x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 y (sin.f64 y)) (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/6 (pow y 2))) (taylor 0 y) (#s(alt (/.f64 y (sin.f64 y)) (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))) (taylor 0 y) (#s(alt (/.f64 y (sin.f64 y)) (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))) (taylor 0 y) (#s(alt (/.f64 y (sin.f64 y)) (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ y (sin y)) (taylor inf y) (#s(alt (/.f64 y (sin.f64 y)) (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ y (sin y)) (taylor inf y) (#s(alt (/.f64 y (sin.f64 y)) (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ y (sin y)) (taylor inf y) (#s(alt (/.f64 y (sin.f64 y)) (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ y (sin y)) (taylor inf y) (#s(alt (/.f64 y (sin.f64 y)) (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ y (sin y)) (taylor -inf y) (#s(alt (/.f64 y (sin.f64 y)) (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ y (sin y)) (taylor -inf y) (#s(alt (/.f64 y (sin.f64 y)) (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ y (sin y)) (taylor -inf y) (#s(alt (/.f64 y (sin.f64 y)) (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ y (sin y)) (taylor -inf y) (#s(alt (/.f64 y (sin.f64 y)) (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1/6 (pow y 2)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) y) (taylor 0 x) (#s(alt (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) (taylor 0 x) (#s(alt (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)) (taylor 0 x) (#s(alt (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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Calls

75 calls:

TimeVariablePointExpression
4.0ms
x
@inf
(* (cosh x) (/ (neg (- 1/2 (* 1/2 (cos (* y 2))))) (* (neg y) (sin y))))
4.0ms
y
@-inf
(/ (neg (- 1/2 (* 1/2 (cos (* y 2))))) (* (neg y) (sin y)))
1.0ms
y
@inf
(* (cosh x) (/ (neg (- 1/2 (* 1/2 (cos (* y 2))))) (* (neg y) (sin y))))
1.0ms
y
@0
(* (cosh x) (/ (neg (- 1/2 (* 1/2 (cos (* y 2))))) (* (neg y) (sin y))))
1.0ms
y
@inf
(/ (neg (- 1/2 (* 1/2 (cos (* y 2))))) (* (neg y) (sin y)))

simplify540.0ms (4.7%)

Memory
42.2MiB live, 778.4MiB allocated
Algorithm
egg-herbie
Rules
14 542×lower-fma.f64
14 542×lower-fma.f32
6 386×lower-+.f64
6 386×lower-+.f32
5 604×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02563746
18063614
229363421
082203231
Stop Event
iter limit
node limit
Counts
300 → 299
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))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 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)))))))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) 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 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
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)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(/ (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))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
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(+ (* 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)))))))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
1
(+ 1 (* -1/6 (pow y 2)))
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(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (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))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
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(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
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(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
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(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
1
(+ 1 (* 1/2 (pow x 2)))
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(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* 1/2 (pow x 2)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ (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))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 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)))))))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) 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))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
1
(+ 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 (/ (- (* 1/2 (cos (* 2 y))) 1/2) (* y (sin y))))
(* -1 (/ (- (* 1/2 (cos (* 2 y))) 1/2) (* y (sin y))))
(* -1 (/ (- (* 1/2 (cos (* 2 y))) 1/2) (* y (sin y))))
(* -1 (/ (- (* 1/2 (cos (* 2 y))) 1/2) (* y (sin y))))
(* -1 (/ (- (* 1/2 (cos (* 2 y))) 1/2) (* y (sin y))))
(* -1 (/ (- (* 1/2 (cos (* 2 y))) 1/2) (* y (sin y))))
(* -1 (/ (- (* 1/2 (cos (* 2 y))) 1/2) (* y (sin y))))
(* -1 (/ (- (* 1/2 (cos (* 2 y))) 1/2) (* y (sin y))))
(* -1 (pow y 2))
(* (pow y 2) (- (* 1/3 (pow y 2)) 1))
(* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1))
(* (pow y 2) (- (* (pow y 2) (+ 1/3 (* (pow y 2) (- (* 1/315 (pow y 2)) 2/45)))) 1))
(- (* 1/2 (cos (* 2 y))) 1/2)
(- (* 1/2 (cos (* 2 y))) 1/2)
(- (* 1/2 (cos (* 2 y))) 1/2)
(- (* 1/2 (cos (* 2 y))) 1/2)
(- (* 1/2 (cos (* 2 y))) 1/2)
(- (* 1/2 (cos (* 2 y))) 1/2)
(- (* 1/2 (cos (* 2 y))) 1/2)
(- (* 1/2 (cos (* 2 y))) 1/2)
(pow y 2)
(* (pow y 2) (+ 1 (* -1/3 (pow y 2))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(* -1 (/ (- (* 1/2 (cos (* 2 y))) 1/2) (* y (sin y))))
(+ (* -1 (/ (- (* 1/2 (cos (* 2 y))) 1/2) (* y (sin y)))) (* -1/2 (/ (* (pow x 2) (- (* 1/2 (cos (* 2 y))) 1/2)) (* y (sin y)))))
(+ (* -1 (/ (- (* 1/2 (cos (* 2 y))) 1/2) (* y (sin y)))) (* (pow x 2) (+ (* -1/2 (/ (- (* 1/2 (cos (* 2 y))) 1/2) (* y (sin y)))) (* -1/24 (/ (* (pow x 2) (- (* 1/2 (cos (* 2 y))) 1/2)) (* y (sin y)))))))
(+ (* -1 (/ (- (* 1/2 (cos (* 2 y))) 1/2) (* y (sin y)))) (* (pow x 2) (+ (* -1/2 (/ (- (* 1/2 (cos (* 2 y))) 1/2) (* y (sin y)))) (* (pow x 2) (+ (* -1/24 (/ (- (* 1/2 (cos (* 2 y))) 1/2) (* y (sin y)))) (* -1/720 (/ (* (pow x 2) (- (* 1/2 (cos (* 2 y))) 1/2)) (* y (sin y)))))))))
(* -1/2 (/ (* (+ (exp x) (/ 1 (exp x))) (- (* 1/2 (cos (* 2 y))) 1/2)) (* y (sin y))))
(* -1/2 (/ (* (+ (exp x) (/ 1 (exp x))) (- (* 1/2 (cos (* 2 y))) 1/2)) (* y (sin y))))
(* -1/2 (/ (* (+ (exp x) (/ 1 (exp x))) (- (* 1/2 (cos (* 2 y))) 1/2)) (* y (sin y))))
(* -1/2 (/ (* (+ (exp x) (/ 1 (exp x))) (- (* 1/2 (cos (* 2 y))) 1/2)) (* y (sin y))))
(* -1/2 (/ (* (+ (exp x) (/ 1 (exp x))) (- (* 1/2 (cos (* 2 y))) 1/2)) (* y (sin y))))
(* -1/2 (/ (* (+ (exp x) (/ 1 (exp x))) (- (* 1/2 (cos (* 2 y))) 1/2)) (* y (sin y))))
(* -1/2 (/ (* (+ (exp x) (/ 1 (exp x))) (- (* 1/2 (cos (* 2 y))) 1/2)) (* y (sin y))))
(* -1/2 (/ (* (+ (exp x) (/ 1 (exp x))) (- (* 1/2 (cos (* 2 y))) 1/2)) (* y (sin y))))
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(+ (* -1 (* (pow y 2) (- (* 1/6 (+ (exp x) (/ 1 (exp x)))) (* 1/12 (+ (exp x) (/ 1 (exp x))))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1 (* (pow y 2) (- (* -1/45 (+ (exp x) (/ 1 (exp x)))) (+ (* -1/6 (- (* 1/6 (+ (exp x) (/ 1 (exp x)))) (* 1/12 (+ (exp x) (/ 1 (exp x)))))) (* -1/240 (+ (exp x) (/ 1 (exp x)))))))) (* -1 (- (* 1/6 (+ (exp x) (/ 1 (exp x)))) (* 1/12 (+ (exp x) (/ 1 (exp x)))))))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1 (- (* 1/6 (+ (exp x) (/ 1 (exp x)))) (* 1/12 (+ (exp x) (/ 1 (exp x)))))) (* (pow y 2) (+ (* -1 (* (pow y 2) (- (* 1/630 (+ (exp x) (/ 1 (exp x)))) (+ (* -1/6 (- (* -1/45 (+ (exp x) (/ 1 (exp x)))) (+ (* -1/6 (- (* 1/6 (+ (exp x) (/ 1 (exp x)))) (* 1/12 (+ (exp x) (/ 1 (exp x)))))) (* -1/240 (+ (exp x) (/ 1 (exp x))))))) (+ (* 1/10080 (+ (exp x) (/ 1 (exp x)))) (* 1/120 (- (* 1/6 (+ (exp x) (/ 1 (exp x)))) (* 1/12 (+ (exp x) (/ 1 (exp x))))))))))) (* -1 (- (* -1/45 (+ (exp x) (/ 1 (exp x)))) (+ (* -1/6 (- (* 1/6 (+ (exp x) (/ 1 (exp x)))) (* 1/12 (+ (exp x) (/ 1 (exp x)))))) (* -1/240 (+ (exp x) (/ 1 (exp x))))))))))))
(* -1/2 (/ (* (+ (exp x) (/ 1 (exp x))) (- (* 1/2 (cos (* 2 y))) 1/2)) (* y (sin y))))
(* -1/2 (/ (* (+ (exp x) (/ 1 (exp x))) (- (* 1/2 (cos (* 2 y))) 1/2)) (* y (sin y))))
(* -1/2 (/ (* (+ (exp x) (/ 1 (exp x))) (- (* 1/2 (cos (* 2 y))) 1/2)) (* y (sin y))))
(* -1/2 (/ (* (+ (exp x) (/ 1 (exp x))) (- (* 1/2 (cos (* 2 y))) 1/2)) (* y (sin y))))
(* -1/2 (/ (* (+ (exp x) (/ 1 (exp x))) (- (* 1/2 (cos (* 2 y))) 1/2)) (* y (sin y))))
(* -1/2 (/ (* (+ (exp x) (/ 1 (exp x))) (- (* 1/2 (cos (* 2 y))) 1/2)) (* y (sin y))))
(* -1/2 (/ (* (+ (exp x) (/ 1 (exp x))) (- (* 1/2 (cos (* 2 y))) 1/2)) (* y (sin y))))
(* -1/2 (/ (* (+ (exp x) (/ 1 (exp x))) (- (* 1/2 (cos (* 2 y))) 1/2)) (* y (sin y))))
1
(+ 1 (* -1/6 (pow y 2)))
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(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(* -1 (pow y 2))
(* (pow y 2) (- (* 1/6 (pow y 2)) 1))
(* (pow y 2) (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))
(* (pow y 2) (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1))
(* -1 (* y (sin y)))
(* -1 (* y (sin y)))
(* -1 (* y (sin y)))
(* -1 (* y (sin y)))
(* -1 (* y (sin y)))
(* -1 (* y (sin y)))
(* -1 (* y (sin y)))
(* -1 (* y (sin y)))
1
(+ 1 (* -2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2)))
(cos (* 2 y))
(cos (* 2 y))
(cos (* 2 y))
(cos (* 2 y))
(cos (* 2 y))
(cos (* 2 y))
(cos (* 2 y))
(cos (* 2 y))
Outputs
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #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 x x) (*.f64 (/.f64 (sin.f64 y) y) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (/.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 (*.f64 x x) (*.f64 (*.f64 (sin.f64 y) (/.f64 (*.f64 x x) y)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (sin.f64 y) y)))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (sin.f64 y)) y)
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (sin.f64 y)) y)
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (sin.f64 y)) y)
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (sin.f64 y)) y)
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (sin.f64 y)) y)
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (sin.f64 y)) y)
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (sin.f64 y)) y)
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (sin.f64 y)) y)
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.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 x) (exp.f64 (neg.f64 x))) (fma.f64 #s(literal -1/12 binary64) (*.f64 y y) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/240 binary64) #s(literal -1/12 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 y (*.f64 y (*.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 #s(literal -1/12 binary64) (*.f64 y y) #s(literal 1/2 binary64))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
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(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1/4 binary64)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 y (sin.f64 y)))
(* -1/2 (/ (* (+ (exp x) (/ 1 (exp x))) (- (* 1/2 (cos (* 2 y))) 1/2)) (* y (sin y))))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1/4 binary64)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 y (sin.f64 y)))
(* -1/2 (/ (* (+ (exp x) (/ 1 (exp x))) (- (* 1/2 (cos (* 2 y))) 1/2)) (* y (sin y))))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1/4 binary64)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 y (sin.f64 y)))
(* -1/2 (/ (* (+ (exp x) (/ 1 (exp x))) (- (* 1/2 (cos (* 2 y))) 1/2)) (* y (sin y))))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1/4 binary64)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 y (sin.f64 y)))
(* -1/2 (/ (* (+ (exp x) (/ 1 (exp x))) (- (* 1/2 (cos (* 2 y))) 1/2)) (* y (sin y))))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1/4 binary64)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 y (sin.f64 y)))
(* -1/2 (/ (* (+ (exp x) (/ 1 (exp x))) (- (* 1/2 (cos (* 2 y))) 1/2)) (* y (sin y))))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1/4 binary64)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 y (sin.f64 y)))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+ (* -1 (* (pow y 2) (- (* 1/6 (+ (exp x) (/ 1 (exp x)))) (* 1/12 (+ (exp x) (/ 1 (exp x))))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 #s(literal -1/12 binary64) (*.f64 y y) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1 (* (pow y 2) (- (* -1/45 (+ (exp x) (/ 1 (exp x)))) (+ (* -1/6 (- (* 1/6 (+ (exp x) (/ 1 (exp x)))) (* 1/12 (+ (exp x) (/ 1 (exp x)))))) (* -1/240 (+ (exp x) (/ 1 (exp x)))))))) (* -1 (- (* 1/6 (+ (exp x) (/ 1 (exp x)))) (* 1/12 (+ (exp x) (/ 1 (exp x)))))))))
(fma.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 #s(literal -1/12 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (fma.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/45 binary64) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal -13/720 binary64))))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1 (- (* 1/6 (+ (exp x) (/ 1 (exp x)))) (* 1/12 (+ (exp x) (/ 1 (exp x)))))) (* (pow y 2) (+ (* -1 (* (pow y 2) (- (* 1/630 (+ (exp x) (/ 1 (exp x)))) (+ (* -1/6 (- (* -1/45 (+ (exp x) (/ 1 (exp x)))) (+ (* -1/6 (- (* 1/6 (+ (exp x) (/ 1 (exp x)))) (* 1/12 (+ (exp x) (/ 1 (exp x)))))) (* -1/240 (+ (exp x) (/ 1 (exp x))))))) (+ (* 1/10080 (+ (exp x) (/ 1 (exp x)))) (* 1/120 (- (* 1/6 (+ (exp x) (/ 1 (exp x)))) (* 1/12 (+ (exp x) (/ 1 (exp x))))))))))) (* -1 (- (* -1/45 (+ (exp x) (/ 1 (exp x)))) (+ (* -1/6 (- (* 1/6 (+ (exp x) (/ 1 (exp x)))) (* 1/12 (+ (exp x) (/ 1 (exp x)))))) (* -1/240 (+ (exp x) (/ 1 (exp x))))))))))))
(fma.f64 y (*.f64 y (*.f64 (*.f64 y y) (fma.f64 y (neg.f64 (*.f64 y (-.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/630 binary64)) (fma.f64 #s(literal -1/6 binary64) (fma.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal -1/120 binary64) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/240 binary64))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/1260 binary64)))))) (fma.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/45 binary64) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal -13/720 binary64)))))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 #s(literal -1/12 binary64) (*.f64 y y) #s(literal 1/2 binary64))))
(* -1/2 (/ (* (+ (exp x) (/ 1 (exp x))) (- (* 1/2 (cos (* 2 y))) 1/2)) (* y (sin y))))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1/4 binary64)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 y (sin.f64 y)))
(* -1/2 (/ (* (+ (exp x) (/ 1 (exp x))) (- (* 1/2 (cos (* 2 y))) 1/2)) (* y (sin y))))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1/4 binary64)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 y (sin.f64 y)))
(* -1/2 (/ (* (+ (exp x) (/ 1 (exp x))) (- (* 1/2 (cos (* 2 y))) 1/2)) (* y (sin y))))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1/4 binary64)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 y (sin.f64 y)))
(* -1/2 (/ (* (+ (exp x) (/ 1 (exp x))) (- (* 1/2 (cos (* 2 y))) 1/2)) (* y (sin y))))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1/4 binary64)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 y (sin.f64 y)))
(* -1/2 (/ (* (+ (exp x) (/ 1 (exp x))) (- (* 1/2 (cos (* 2 y))) 1/2)) (* y (sin y))))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1/4 binary64)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 y (sin.f64 y)))
(* -1/2 (/ (* (+ (exp x) (/ 1 (exp x))) (- (* 1/2 (cos (* 2 y))) 1/2)) (* y (sin y))))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1/4 binary64)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 y (sin.f64 y)))
(* -1/2 (/ (* (+ (exp x) (/ 1 (exp x))) (- (* 1/2 (cos (* 2 y))) 1/2)) (* y (sin y))))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1/4 binary64)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 y (sin.f64 y)))
(* -1/2 (/ (* (+ (exp x) (/ 1 (exp x))) (- (* 1/2 (cos (* 2 y))) 1/2)) (* y (sin y))))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1/4 binary64)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 y (sin.f64 y)))
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(* -1 (pow y 2))
(neg.f64 (*.f64 y y))
(* (pow y 2) (- (* 1/6 (pow y 2)) 1))
(*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))
(* (pow y 2) (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))
(*.f64 (*.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64)) y) y)
(* (pow y 2) (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1))
(*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) #s(literal -1 binary64)))
(* -1 (* y (sin y)))
(*.f64 y (neg.f64 (sin.f64 y)))
(* -1 (* y (sin y)))
(*.f64 y (neg.f64 (sin.f64 y)))
(* -1 (* y (sin y)))
(*.f64 y (neg.f64 (sin.f64 y)))
(* -1 (* y (sin y)))
(*.f64 y (neg.f64 (sin.f64 y)))
(* -1 (* y (sin y)))
(*.f64 y (neg.f64 (sin.f64 y)))
(* -1 (* y (sin y)))
(*.f64 y (neg.f64 (sin.f64 y)))
(* -1 (* y (sin y)))
(*.f64 y (neg.f64 (sin.f64 y)))
(* -1 (* y (sin y)))
(*.f64 y (neg.f64 (sin.f64 y)))
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 2/3 binary64) #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2)))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -4/45 binary64) #s(literal 2/3 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64))
(cos (* 2 y))
(cos.f64 (*.f64 y #s(literal 2 binary64)))
(cos (* 2 y))
(cos.f64 (*.f64 y #s(literal 2 binary64)))
(cos (* 2 y))
(cos.f64 (*.f64 y #s(literal 2 binary64)))
(cos (* 2 y))
(cos.f64 (*.f64 y #s(literal 2 binary64)))
(cos (* 2 y))
(cos.f64 (*.f64 y #s(literal 2 binary64)))
(cos (* 2 y))
(cos.f64 (*.f64 y #s(literal 2 binary64)))
(cos (* 2 y))
(cos.f64 (*.f64 y #s(literal 2 binary64)))
(cos (* 2 y))
(cos.f64 (*.f64 y #s(literal 2 binary64)))

rewrite404.0ms (3.5%)

Memory
-14.6MiB live, 398.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 404×lower-*.f32
5 388×lower-*.f64
4 524×lower-/.f32
4 514×lower-/.f64
3 568×lower-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030136
051136
1146131
2851116
08623116
Stop Event
iter limit
node limit
iter limit
Counts
19 → 1 170
Calls
Call 1
Inputs
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(cosh.f64 x)
(/.f64 y (sin.f64 y))
(sin.f64 y)
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (/ (sin 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))) (/.f64 (sin.f64 y) y))
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(/.f64 (cosh.f64 x) y)
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (*.f64 (neg.f64 y) (sin.f64 y)))
(neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))
(*.f64 (cosh.f64 x) (/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (*.f64 (neg.f64 y) (sin.f64 y))))
(/.f64 (sin.f64 y) y)
(*.f64 (neg.f64 y) (sin.f64 y))
(cos.f64 (*.f64 y #s(literal 2 binary64)))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 (cosh.f64 x) (sin.f64 y)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (cosh.f64 x) y) (neg.f64 (sin.f64 y))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (/.f64 y (sin.f64 y)))) (*.f64 (/.f64 (cosh.f64 x) y) (neg.f64 (sin.f64 y))))
(neg.f64 (*.f64 (/.f64 (cosh.f64 x) y) (neg.f64 (sin.f64 y))))
(neg.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 y) y)) (cosh.f64 x)))
(neg.f64 (*.f64 (sin.f64 y) (neg.f64 (/.f64 (cosh.f64 x) y))))
(neg.f64 (/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) (neg.f64 y)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 (cosh.f64 x) (sin.f64 y)))))
(neg.f64 (/.f64 (*.f64 (cosh.f64 x) (neg.f64 (sin.f64 y))) y))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(/.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (cosh.f64 x) (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (neg.f64 (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 (sin.f64 y) y))))
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
(/.f64 (/.f64 (cosh.f64 x) y) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 (/.f64 y (sin.f64 y)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (/.f64 y (cosh.f64 x))))
(/.f64 (neg.f64 (cosh.f64 x)) (neg.f64 (/.f64 y (sin.f64 y))))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (cosh.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 y))))
(/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 (cosh.f64 x) (neg.f64 (sin.f64 y)))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (neg.f64 (/.f64 y (sin.f64 y)))))
(/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) y)
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (sin.f64 y)) (*.f64 y #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (neg.f64 (sin.f64 y))) (*.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 (cosh.f64 x) (neg.f64 (sin.f64 y))) (neg.f64 y))
(/.f64 (*.f64 (cosh.f64 x) (neg.f64 (sin.f64 y))) (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (*.f64 (neg.f64 (/.f64 y (sin.f64 y))) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (neg.f64 (*.f64 (/.f64 y (sin.f64 y)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (/.f64 (cosh.f64 x) y)) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(/.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64)) (neg.f64 (/.f64 y (cosh.f64 x))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 (sin.f64 y) y)) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64)) (neg.f64 (/.f64 y (cosh.f64 x))))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (/.f64 y (sin.f64 y)))))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 y (sin.f64 y))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) (*.f64 (/.f64 y (sin.f64 y)) #s(literal -2 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (/.f64 y (sin.f64 y)))))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -1 binary64)) (*.f64 (/.f64 y (sin.f64 y)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) (*.f64 (neg.f64 (/.f64 y (sin.f64 y))) #s(literal -2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))) (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (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 (sin.f64 y))) (*.f64 #s(literal -2 binary64) (neg.f64 y)))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y))))
(/.f64 (*.f64 (sin.f64 y) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.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 (neg.f64 (sin.f64 y)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 (neg.f64 y) #s(literal 2 binary64)))
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(-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
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(fma.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal 2 binary64)))))) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (sin.f64 y)) (sin.f64 y)))
(fma.f64 (cos.f64 y) (cos.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(fma.f64 (cos.f64 y) (cos.f64 y) (*.f64 (neg.f64 (sin.f64 y)) (sin.f64 y)))
(fma.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (-.f64 (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 1/4 binary64))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(fma.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (-.f64 (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 1/4 binary64))))) (*.f64 (neg.f64 (sin.f64 y)) (sin.f64 y)))
(fma.f64 (+.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(fma.f64 (+.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 (neg.f64 (sin.f64 y)) (sin.f64 y)))
(fma.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal 2 binary64)))))) #s(literal -1/4 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(fma.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal 2 binary64)))))) #s(literal -1/4 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (sin.f64 y)) (sin.f64 y)))
(fma.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal 2 binary64)))))) #s(literal -1/4 binary64))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (fma.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (fma.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(fma.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal 2 binary64)))))) #s(literal -1/4 binary64))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (fma.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (fma.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (*.f64 (neg.f64 (sin.f64 y)) (sin.f64 y)))
(fma.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal 2 binary64)))))) #s(literal -1/4 binary64))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)) (-.f64 (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(fma.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal 2 binary64)))))) #s(literal -1/4 binary64))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)) (-.f64 (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (sin.f64 y)) (sin.f64 y)))
(fma.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal 2 binary64)))))) #s(literal -1/4 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal 2 binary64)))))) #s(literal -1/4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(fma.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal 2 binary64)))))) #s(literal -1/4 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal 2 binary64)))))) #s(literal -1/4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (sin.f64 y)) (sin.f64 y)))
(fma.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal 2 binary64)))))) #s(literal -1/4 binary64))) (+.f64 #s(literal -1/8 binary64) (neg.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (fma.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(fma.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal 2 binary64)))))) #s(literal -1/4 binary64))) (+.f64 #s(literal -1/8 binary64) (neg.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (fma.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) #s(literal 1/4 binary64))) (*.f64 (neg.f64 (sin.f64 y)) (sin.f64 y)))
(fma.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal 2 binary64)))))) #s(literal -1/4 binary64))) (+.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal 2 binary64))))))))) (fma.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(fma.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal 2 binary64)))))) #s(literal -1/4 binary64))) (+.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal 2 binary64))))))))) (fma.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 (neg.f64 (sin.f64 y)) (sin.f64 y)))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 (+.f64 (cos.f64 y) (sin.f64 y)) (-.f64 (cos.f64 y) (sin.f64 y)))

eval282.0ms (2.4%)

Memory
5.4MiB live, 348.3MiB allocated
Compiler

Compiled 32 524 to 3 519 computations (89.2% saved)

prune315.0ms (2.7%)

Memory
-14.6MiB live, 393.5MiB allocated
Pruning

27 alts after pruning (24 fresh and 3 done)

PrunedKeptTotal
New1 631211 652
Fresh538
Picked235
Done000
Total1 638271 665
Accuracy
100.0%
Counts
1 665 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
85.1%
(/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) y) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
80.1%
(/.f64 (*.f64 (sin.f64 y) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) y)
90.2%
(/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 y (sin.f64 y)))
52.7%
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y)))
99.5%
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y))))
34.6%
(*.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (sin.f64 y))) (neg.f64 (*.f64 y (*.f64 y y)))) (fma.f64 y y #s(literal 0 binary64)))
99.8%
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
92.0%
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) y) (sin.f64 y))
90.8%
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) y) (sin.f64 y))
52.7%
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) (sin.f64 y))
80.0%
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (sin.f64 y) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
78.4%
(*.f64 (cosh.f64 x) (/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 (neg.f64 y) (sin.f64 y))))
61.2%
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
60.3%
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
88.0%
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
54.4%
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
52.9%
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
80.1%
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
51.2%
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) y))
51.9%
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
51.1%
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
50.9%
(*.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 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
46.7%
(*.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(literal 1 binary64)))
30.8%
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 (sin.f64 y) y))
27.4%
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
52.8%
#s(approx (/ (cosh x) (/ y (sin y))) (/.f64 (sin.f64 y) y))
27.4%
#s(approx (* (cosh x) (/ (neg (- 1/2 (* 1/2 (cos (* y 2))))) (* (neg y) (sin y)))) (/.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 y (sin.f64 y))))
Compiler

Compiled 828 to 500 computations (39.6% saved)

simplify161.0ms (1.4%)

Memory
14.6MiB live, 94.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
cost-diff0
#s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) y)
cost-diff0
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) y) (sin.f64 y))
cost-diff0
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
cost-diff0
#s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
cost-diff0
#s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
cost-diff0
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 (sin.f64 y) y))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
cost-diff0
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) y))
cost-diff0
#s(approx (/ (sin y) y) #s(literal 1 binary64))
cost-diff0
#s(approx (cosh x) #s(literal 1 binary64))
cost-diff0
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
cost-diff0
(*.f64 (cosh.f64 x) (sin.f64 y))
cost-diff0
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y)))
cost-diff0
(pow.f64 y #s(literal -1/2 binary64))
cost-diff12864
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y))))
Rules
1 382×lower-fma.f32
1 372×lower-fma.f64
1 346×lower-*.f32
1 322×lower-*.f64
838×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044330
073330
1132322
2262322
3496322
4824320
51119320
61585320
72306320
82941320
93126320
103138320
113151320
123203320
133208320
143211320
153211320
163223320
173266320
03266316
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y))))
(pow.f64 y #s(literal -1/2 binary64))
y
#s(literal -1/2 binary64)
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y)))
(*.f64 (cosh.f64 x) (sin.f64 y))
(cosh.f64 x)
x
(sin.f64 y)
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (cosh x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (sin 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))) (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) y))
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
(/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) y)
#s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y))
(fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)
y
(*.f64 (*.f64 y y) #s(literal -1/6 binary64))
(*.f64 y y)
#s(literal -1/6 binary64)
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 (sin.f64 y) y))
#s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
#s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
#s(literal 1/2 binary64)
(*.f64 x x)
x
(/.f64 (sin.f64 y) y)
(sin.f64 y)
y
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) y) (sin.f64 y))
(/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) y)
#s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
x
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(*.f64 x x)
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
#s(literal 1/720 binary64)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
y
(sin.f64 y)
Outputs
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(pow.f64 y #s(literal -1/2 binary64))
y
#s(literal -1/2 binary64)
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y)))
(*.f64 (cosh.f64 x) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (sin.f64 y)))
(*.f64 (cosh.f64 x) (sin.f64 y))
(*.f64 (sin.f64 y) (cosh.f64 x))
(cosh.f64 x)
x
(sin.f64 y)
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (cosh x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (sin 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))) (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) y))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y)) y))
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
(/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) y)
(/.f64 #s(approx (sin y) (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y)) y)
#s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y))
#s(approx (sin y) (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y))
(fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)
(fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y)
y
(*.f64 (*.f64 y y) #s(literal -1/6 binary64))
(*.f64 y (*.f64 y #s(literal -1/6 binary64)))
(*.f64 y y)
#s(literal -1/6 binary64)
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 (sin.f64 y) y))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) (/.f64 (sin.f64 y) y))
#s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
#s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
#s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
#s(approx (+ (* 1/2 (* x x)) 1) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
(*.f64 x x)
x
(/.f64 (sin.f64 y) y)
(sin.f64 y)
y
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) y) (sin.f64 y))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
(/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) y)
(/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) y)
#s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
x
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(*.f64 x x)
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
#s(literal 1/720 binary64)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
y
(sin.f64 y)

localize284.0ms (2.5%)

Memory
21.9MiB live, 169.4MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
accuracy99.9%
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
accuracy99.8%
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) y) (sin.f64 y))
accuracy90.5%
#s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
accuracy99.8%
(/.f64 (sin.f64 y) y)
accuracy80.4%
#s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
accuracy49.6%
#s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
accuracy99.8%
(/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) y)
accuracy99.7%
(*.f64 (*.f64 y y) #s(literal -1/6 binary64))
accuracy80.4%
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
accuracy48.1%
#s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y))
accuracy100.0%
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
accuracy53.1%
#s(approx (cosh x) #s(literal 1 binary64))
accuracy48.6%
#s(approx (/ (sin y) y) #s(literal 1 binary64))
accuracy100.0%
(cosh.f64 x)
accuracy100.0%
(*.f64 (cosh.f64 x) (sin.f64 y))
accuracy99.8%
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y)))
accuracy99.7%
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y))))
Samples
116.0ms256×0valid
Compiler

Compiled 211 to 34 computations (83.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 96.0ms
ival-sin: 46.0ms (47.7% of total)
ival-mult: 19.0ms (19.7% of total)
const: 9.0ms (9.3% of total)
ival-add: 8.0ms (8.3% of total)
ival-pow: 7.0ms (7.3% of total)
ival-div: 3.0ms (3.1% of total)
ival-cosh: 3.0ms (3.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series89.0ms (0.8%)

Memory
2.7MiB live, 41.2MiB allocated
Counts
26 → 408
Calls
Call 1
Inputs
#s(alt (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y)))) (patch (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y)))) #<representation binary64>) () ())
#s(alt (pow.f64 y #s(literal -1/2 binary64)) (patch (pow.f64 y #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y))) (patch (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y))) #<representation binary64>) () ())
#s(alt (*.f64 (cosh.f64 x) (sin.f64 y)) (patch (*.f64 (cosh.f64 x) (sin.f64 y)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (cosh x) #s(literal 1 binary64)) (patch #s(approx (cosh x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (sin y) y) #s(literal 1 binary64)) (patch #s(approx (/ (sin y) y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) y)) (patch (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) y)) #<representation binary64>) () ())
#s(alt #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 (sin.f64 y) y)) (patch (*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())
#s(alt #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (patch #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (patch #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) y) (sin.f64 y)) (patch (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) y) (sin.f64 y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) y) (patch (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) y) #<representation binary64>) () ())
#s(alt #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (patch (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) (patch #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) (patch (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) y) (patch (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) y) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (patch (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())
Outputs
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor 0 y) (#s(alt (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y)))) (patch (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) (taylor 0 y) (#s(alt (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y)))) (patch (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 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)))))))) (taylor 0 y) (#s(alt (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y)))) (patch (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 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))))))))) (taylor 0 y) (#s(alt (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y)))) (patch (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor inf y) (#s(alt (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y)))) (patch (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor inf y) (#s(alt (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y)))) (patch (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor inf y) (#s(alt (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y)))) (patch (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor inf y) (#s(alt (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y)))) (patch (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* (sin y) (* (pow (sqrt -1) 2) (+ (exp x) (/ 1 (exp x))))) y)) (taylor -inf y) (#s(alt (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y)))) (patch (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* (sin y) (* (pow (sqrt -1) 2) (+ (exp x) (/ 1 (exp x))))) y)) (taylor -inf y) (#s(alt (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y)))) (patch (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* (sin y) (* (pow (sqrt -1) 2) (+ (exp x) (/ 1 (exp x))))) y)) (taylor -inf y) (#s(alt (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y)))) (patch (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* (sin y) (* (pow (sqrt -1) 2) (+ (exp x) (/ 1 (exp x))))) y)) (taylor -inf y) (#s(alt (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y)))) (patch (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) y) (taylor 0 x) (#s(alt (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y)))) (patch (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) (taylor 0 x) (#s(alt (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y)))) (patch (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)) (taylor 0 x) (#s(alt (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y)))) (patch (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (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)) (taylor 0 x) (#s(alt (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y)))) (patch (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor inf x) (#s(alt (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y)))) (patch (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor inf x) (#s(alt (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y)))) (patch (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor inf x) (#s(alt (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y)))) (patch (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor inf x) (#s(alt (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y)))) (patch (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y)))) (patch (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y)))) (patch (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y)))) (patch (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y)))) (patch (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 y)) (taylor 0 y) (#s(alt (pow.f64 y #s(literal -1/2 binary64)) (patch (pow.f64 y #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 y)) (taylor 0 y) (#s(alt (pow.f64 y #s(literal -1/2 binary64)) (patch (pow.f64 y #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 y)) (taylor 0 y) (#s(alt (pow.f64 y #s(literal -1/2 binary64)) (patch (pow.f64 y #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 y)) (taylor 0 y) (#s(alt (pow.f64 y #s(literal -1/2 binary64)) (patch (pow.f64 y #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 y)) (taylor inf y) (#s(alt (pow.f64 y #s(literal -1/2 binary64)) (patch (pow.f64 y #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 y)) (taylor inf y) (#s(alt (pow.f64 y #s(literal -1/2 binary64)) (patch (pow.f64 y #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 y)) (taylor inf y) (#s(alt (pow.f64 y #s(literal -1/2 binary64)) (patch (pow.f64 y #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 y)) (taylor inf y) (#s(alt (pow.f64 y #s(literal -1/2 binary64)) (patch (pow.f64 y #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)) (taylor -inf y) (#s(alt (pow.f64 y #s(literal -1/2 binary64)) (patch (pow.f64 y #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)) (taylor -inf y) (#s(alt (pow.f64 y #s(literal -1/2 binary64)) (patch (pow.f64 y #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)) (taylor -inf y) (#s(alt (pow.f64 y #s(literal -1/2 binary64)) (patch (pow.f64 y #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)) (taylor -inf y) (#s(alt (pow.f64 y #s(literal -1/2 binary64)) (patch (pow.f64 y #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sqrt y) (+ (exp x) (/ 1 (exp x))))) (taylor 0 y) (#s(alt (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y))) (patch (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/12 (* (sqrt (pow y 5)) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (* (sqrt y) (+ (exp x) (/ 1 (exp x)))))) (taylor 0 y) (#s(alt (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y))) (patch (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (sqrt y) (+ (exp x) (/ 1 (exp x))))) (* (pow y 2) (+ (* -1/12 (* (sqrt y) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (* (sqrt (pow y 5)) (+ (exp x) (/ 1 (exp x)))))))) (taylor 0 y) (#s(alt (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y))) (patch (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (sqrt y) (+ (exp x) (/ 1 (exp x))))) (* (pow y 2) (+ (* -1/12 (* (sqrt y) (+ (exp x) (/ 1 (exp x))))) (* (pow y 2) (+ (* -1/10080 (* (sqrt (pow y 5)) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (* (sqrt y) (+ (exp x) (/ 1 (exp x)))))))))) (taylor 0 y) (#s(alt (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y))) (patch (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (+ (exp x) (/ 1 (exp x)))))) (taylor inf y) (#s(alt (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y))) (patch (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (+ (exp x) (/ 1 (exp x)))))) (taylor inf y) (#s(alt (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y))) (patch (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (+ (exp x) (/ 1 (exp x)))))) (taylor inf y) (#s(alt (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y))) (patch (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (+ (exp x) (/ 1 (exp x)))))) (taylor inf y) (#s(alt (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y))) (patch (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (* (pow (sqrt -1) 2) (+ (exp x) (/ 1 (exp x))))))) (taylor -inf y) (#s(alt (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y))) (patch (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (* (pow (sqrt -1) 2) (+ (exp x) (/ 1 (exp x))))))) (taylor -inf y) (#s(alt (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y))) (patch (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (* (pow (sqrt -1) 2) (+ (exp x) (/ 1 (exp x))))))) (taylor -inf y) (#s(alt (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y))) (patch (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (* (pow (sqrt -1) 2) (+ (exp x) (/ 1 (exp x))))))) (taylor -inf y) (#s(alt (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y))) (patch (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 y)) (sin y)) (taylor 0 x) (#s(alt (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y))) (patch (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (* (pow x 2) (sin y)) (sqrt (/ 1 y)))) (* (sqrt (/ 1 y)) (sin y))) (taylor 0 x) (#s(alt (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y))) (patch (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* (sqrt (/ 1 y)) (sin y)) (* (pow x 2) (+ (* 1/24 (* (* (pow x 2) (sin y)) (sqrt (/ 1 y)))) (* 1/2 (* (sqrt (/ 1 y)) (sin y)))))) (taylor 0 x) (#s(alt (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y))) (patch (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* (sqrt (/ 1 y)) (sin y)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 y)) (sin y))) (* (pow x 2) (+ (* 1/720 (* (* (pow x 2) (sin y)) (sqrt (/ 1 y)))) (* 1/24 (* (sqrt (/ 1 y)) (sin y)))))))) (taylor 0 x) (#s(alt (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y))) (patch (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y))) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (taylor 0 y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) y) (taylor inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) y) (taylor inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) y) (taylor inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) y) (taylor inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) y) (taylor -inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) y) (taylor -inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) y) (taylor -inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) y) (taylor -inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt 1/24 (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/24 (* 1/720 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/24 (* 1/720 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/24 (* 1/720 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/720 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/720 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (patch (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* 1/24 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (patch (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) (taylor 0 x) (#s(alt (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (patch (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) (taylor 0 x) (#s(alt (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (patch (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/720 (pow x 5)) (taylor inf x) (#s(alt (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (patch (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (patch (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (patch (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (patch (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/720 (pow x 5)) (taylor -inf x) (#s(alt (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (patch (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (patch (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720))) (taylor -inf x) (#s(alt (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (patch (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720))) (taylor -inf x) (#s(alt (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (patch (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
Calls

102 calls:

TimeVariablePointExpression
58.0ms
y
@0
(* (* y y) -1/6)
7.0ms
y
@inf
(* (* y y) -1/6)
2.0ms
y
@-inf
(* (pow y -1/2) (* (pow y -1/2) (* (cosh x) (sin y))))
1.0ms
y
@-inf
(* (pow y -1/2) (* (cosh x) (sin y)))
1.0ms
x
@inf
(* (pow y -1/2) (* (cosh x) (sin y)))

simplify594.0ms (5.1%)

Memory
-16.2MiB live, 405.8MiB allocated
Algorithm
egg-herbie
Rules
13 070×lower-fma.f64
13 070×lower-fma.f32
5 400×lower-*.f64
5 400×lower-*.f32
4 226×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02074700
16944482
225004316
360844240
477884240
082064056
Stop Event
iter limit
node limit
Counts
408 → 407
Calls
Call 1
Inputs
(* 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)))))))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* -1/2 (/ (* (sin y) (* (pow (sqrt -1) 2) (+ (exp x) (/ 1 (exp x))))) y))
(* -1/2 (/ (* (sin y) (* (pow (sqrt -1) 2) (+ (exp x) (/ 1 (exp x))))) y))
(* -1/2 (/ (* (sin y) (* (pow (sqrt -1) 2) (+ (exp x) (/ 1 (exp x))))) y))
(* -1/2 (/ (* (sin y) (* (pow (sqrt -1) 2) (+ (exp x) (/ 1 (exp x))))) y))
(/ (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))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(sqrt (/ 1 y))
(sqrt (/ 1 y))
(sqrt (/ 1 y))
(sqrt (/ 1 y))
(sqrt (/ 1 y))
(sqrt (/ 1 y))
(sqrt (/ 1 y))
(sqrt (/ 1 y))
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2))
(* 1/2 (* (sqrt y) (+ (exp x) (/ 1 (exp x)))))
(+ (* -1/12 (* (sqrt (pow y 5)) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (* (sqrt y) (+ (exp x) (/ 1 (exp x))))))
(+ (* 1/2 (* (sqrt y) (+ (exp x) (/ 1 (exp x))))) (* (pow y 2) (+ (* -1/12 (* (sqrt y) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (* (sqrt (pow y 5)) (+ (exp x) (/ 1 (exp x))))))))
(+ (* 1/2 (* (sqrt y) (+ (exp x) (/ 1 (exp x))))) (* (pow y 2) (+ (* -1/12 (* (sqrt y) (+ (exp x) (/ 1 (exp x))))) (* (pow y 2) (+ (* -1/10080 (* (sqrt (pow y 5)) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (* (sqrt y) (+ (exp x) (/ 1 (exp x))))))))))
(* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (+ (exp x) (/ 1 (exp x))))))
(* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (+ (exp x) (/ 1 (exp x))))))
(* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (+ (exp x) (/ 1 (exp x))))))
(* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (+ (exp x) (/ 1 (exp x))))))
(* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (* (pow (sqrt -1) 2) (+ (exp x) (/ 1 (exp x)))))))
(* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (* (pow (sqrt -1) 2) (+ (exp x) (/ 1 (exp x)))))))
(* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (* (pow (sqrt -1) 2) (+ (exp x) (/ 1 (exp x)))))))
(* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (* (pow (sqrt -1) 2) (+ (exp x) (/ 1 (exp x)))))))
(* (sqrt (/ 1 y)) (sin y))
(+ (* 1/2 (* (* (pow x 2) (sin y)) (sqrt (/ 1 y)))) (* (sqrt (/ 1 y)) (sin y)))
(+ (* (sqrt (/ 1 y)) (sin y)) (* (pow x 2) (+ (* 1/24 (* (* (pow x 2) (sin y)) (sqrt (/ 1 y)))) (* 1/2 (* (sqrt (/ 1 y)) (sin y))))))
(+ (* (sqrt (/ 1 y)) (sin y)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 y)) (sin y))) (* (pow x 2) (+ (* 1/720 (* (* (pow x 2) (sin y)) (sqrt (/ 1 y)))) (* 1/24 (* (sqrt (/ 1 y)) (sin y))))))))
(* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (+ (exp x) (/ 1 (exp x))))))
(* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (+ (exp x) (/ 1 (exp x))))))
(* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (+ (exp x) (/ 1 (exp x))))))
(* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (+ (exp x) (/ 1 (exp x))))))
(* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (+ (exp x) (/ 1 (exp x))))))
(* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (+ (exp x) (/ 1 (exp x))))))
(* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (+ (exp x) (/ 1 (exp x))))))
(* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (+ (exp x) (/ 1 (exp x))))))
(sin y)
(+ (sin y) (* 1/2 (* (pow x 2) (sin y))))
(+ (sin y) (* (pow x 2) (+ (* 1/24 (* (pow x 2) (sin y))) (* 1/2 (sin y)))))
(+ (sin y) (* (pow x 2) (+ (* 1/2 (sin y)) (* (pow x 2) (+ (* 1/720 (* (pow x 2) (sin y))) (* 1/24 (sin y)))))))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))
(* y (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))))
(* y (+ (* 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)))))))))
(* y (+ (* 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))))))))))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(/ (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))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 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)))))))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) 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 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
1
(+ 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)))
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (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))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 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)))))))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) 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 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* 1/2 (pow x 2)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ (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))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 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)))))))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) 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 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* 1/2 (pow x 2)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(/ (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))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 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)))))))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) 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))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) 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 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
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)))))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
1
(+ 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 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (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))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
1
(+ 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)))
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
1
(+ 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)))
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
1/24
(+ 1/24 (* 1/720 (pow x 2)))
(+ 1/24 (* 1/720 (pow x 2)))
(+ 1/24 (* 1/720 (pow x 2)))
(* 1/720 (pow x 2))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 2))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(* 1/720 (pow x 5))
(* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 1/720 (pow x 5))
(* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720)))
Outputs
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.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 x) (exp.f64 (neg.f64 x))) (fma.f64 #s(literal -1/12 binary64) (*.f64 y y) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/240 binary64) #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)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (*.f64 y y) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) #s(literal -1/12 binary64)))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 y) y)))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 y) y)))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 y) y)))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 y) y)))
(* -1/2 (/ (* (sin y) (* (pow (sqrt -1) 2) (+ (exp x) (/ 1 (exp x))))) y))
(*.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (neg.f64 (sin.f64 y))) (/.f64 #s(literal -1/2 binary64) y))
(* -1/2 (/ (* (sin y) (* (pow (sqrt -1) 2) (+ (exp x) (/ 1 (exp x))))) y))
(*.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (neg.f64 (sin.f64 y))) (/.f64 #s(literal -1/2 binary64) y))
(* -1/2 (/ (* (sin y) (* (pow (sqrt -1) 2) (+ (exp x) (/ 1 (exp x))))) y))
(*.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (neg.f64 (sin.f64 y))) (/.f64 #s(literal -1/2 binary64) y))
(* -1/2 (/ (* (sin y) (* (pow (sqrt -1) 2) (+ (exp x) (/ 1 (exp x))))) y))
(*.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (neg.f64 (sin.f64 y))) (/.f64 #s(literal -1/2 binary64) y))
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))
(*.f64 (sin.f64 y) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(+ (* (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 (*.f64 (/.f64 (sin.f64 y) y) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (sin.f64 y) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y)))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 y) y)))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 y) y)))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 y) y)))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 y) y)))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 y) y)))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 y) y)))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 y) y)))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 y) y)))
(sqrt (/ 1 y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(sqrt (/ 1 y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(sqrt (/ 1 y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(sqrt (/ 1 y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(sqrt (/ 1 y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(sqrt (/ 1 y))
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(*.f64 (*.f64 x x) #s(literal 1/720 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(* 1/720 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/720 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(* 1/720 (pow x 5))
(*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(*.f64 (+.f64 #s(literal 1/720 binary64) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(*.f64 (+.f64 #s(literal 1/720 binary64) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (pow.f64 x #s(literal 5 binary64)))
(* 1/720 (pow x 5))
(*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720)))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 #s(literal -1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720)))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 #s(literal -1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 x x))))

rewrite478.0ms (4.1%)

Memory
-0.9MiB live, 548.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 498×lower-fma.f32
6 488×lower-fma.f64
5 062×lower-*.f32
5 038×lower-*.f64
3 652×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044278
073278
1220269
21259269
08191266
Stop Event
iter limit
node limit
iter limit
Counts
26 → 432
Calls
Call 1
Inputs
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y))))
(pow.f64 y #s(literal -1/2 binary64))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y)))
(*.f64 (cosh.f64 x) (sin.f64 y))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (cosh x) #s(literal 1 binary64))
#s(approx (/ (sin 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))) (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) y))
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 (sin.f64 y) y))
#s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
#s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) y) (sin.f64 y))
(/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) y)
#s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(cosh.f64 x)
#s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y))
(*.f64 (*.f64 y y) #s(literal -1/6 binary64))
(/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) y)
(/.f64 (sin.f64 y) y)
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
Outputs
(neg.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 y) y)) (cosh.f64 x)))
(/.f64 (sin.f64 y) (*.f64 y (/.f64 #s(literal 1 binary64) (cosh.f64 x))))
(/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 #s(literal 1 binary64) (cosh.f64 x))))
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (/.f64 #s(literal 1 binary64) (cosh.f64 x))))
(/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (*.f64 (/.f64 (neg.f64 y) (sin.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 (sin.f64 y) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) y))
(/.f64 (*.f64 (*.f64 (sin.f64 y) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 y)))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (sin.f64 y)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) y))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (sin.f64 y)) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 y)))
(/.f64 (*.f64 (sin.f64 y) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) (*.f64 y #s(literal -2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 (/.f64 y (sin.f64 y)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) (*.f64 (/.f64 y (sin.f64 y)) #s(literal -2 binary64)))
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (cosh.f64 x))))
(/.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 (neg.f64 (sin.f64 y)) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) (*.f64 (neg.f64 y) #s(literal -2 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) #s(literal -2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) (*.f64 y #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (sin.f64 y))) (*.f64 y #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) (*.f64 (neg.f64 y) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (sin.f64 y))) (*.f64 (neg.f64 y) #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x))))
(*.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (sin.f64 y) (cosh.f64 x)))
(*.f64 (pow.f64 y #s(literal -1/4 binary64)) (*.f64 (pow.f64 y #s(literal -1/4 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x)))))
(*.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (cosh.f64 x)) (*.f64 (sin.f64 y) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (cosh.f64 x))) (sin.f64 y))
(*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x))) (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal -1/4 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (cosh.f64 x)) (sin.f64 y))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 y)))
(exp.f64 (*.f64 (log.f64 (*.f64 y y)) #s(literal -1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal -1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal -1/4 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 y) #s(literal -1/4 binary64) (*.f64 (log.f64 y) #s(literal -1/4 binary64))))
(pow.f64 y #s(literal -1/2 binary64))
(pow.f64 (*.f64 y y) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 y))
(*.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 y #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (sin.f64 y)) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x)))
(*.f64 (sin.f64 y) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (cosh.f64 x)))
(*.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (cosh.f64 x) (*.f64 (sin.f64 y) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (pow.f64 y #s(literal -1/4 binary64)) (*.f64 (pow.f64 y #s(literal -1/4 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x))))
(*.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (cosh.f64 x)) (sin.f64 y))
(*.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (sin.f64 y)) (cosh.f64 x))
(*.f64 (*.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal -1/4 binary64)))
(/.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 y) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (sin.f64 y))))
(/.f64 (*.f64 (sin.f64 y) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (sin.f64 y)) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (sin.f64 y) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (sin.f64 y))) #s(literal -2 binary64))
(*.f64 (sin.f64 y) (cosh.f64 x))
(*.f64 (cosh.f64 x) (sin.f64 y))
(*.f64 (*.f64 (sin.f64 y) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (sin.f64 y)) #s(literal 1/2 binary64))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) #s(approx (cosh x) #s(literal 1 binary64)))
#s(approx (cosh x) #s(literal 1 binary64))
#s(approx (/ (sin y) y) #s(literal 1 binary64))
(neg.f64 (*.f64 (/.f64 #s(approx (sin y) (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y)) (neg.f64 y)) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(neg.f64 (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(approx (sin y) (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y)) (neg.f64 y))))
(neg.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (sin y) (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y))) (neg.f64 y)))
(neg.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 #s(approx (sin y) (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y)))) y))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (sin y) (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (sin y) (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y #s(approx (sin y) (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y))) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y #s(approx (sin y) (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y))))
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (sin y) (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y))) y)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (sin y) (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y))))))
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 #s(approx (sin y) (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y)))) (neg.f64 y))
(/.f64 (neg.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.f64 (neg.f64 y) #s(approx (sin y) (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y))))
(/.f64 (neg.f64 (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 #s(approx (sin y) (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y))))) y)
(pow.f64 (/.f64 y (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (sin y) (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(approx (sin y) (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y)) y)))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(approx (sin y) (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y)) y))
(*.f64 #s(approx (sin y) (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(approx (sin y) (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y)) y) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (sin y) (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y)))))
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(/.f64 (*.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) #s(literal -1/4 binary64))) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))
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(/.f64 (*.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) #s(literal -1/4 binary64)) x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) (*.f64 x #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) (*.f64 #s(literal -1/2 binary64) x)))) (neg.f64 (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) (*.f64 #s(literal -1/2 binary64) x))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) #s(literal 1/8 binary64)))) (neg.f64 (+.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) #s(literal 1/4 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))))
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(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) #s(literal 1/8 binary64)) x)) (neg.f64 (+.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) #s(literal 1/4 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) #s(literal -1/4 binary64)) x)) (fma.f64 (neg.f64 x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))))) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))))
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) x)
(*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) (*.f64 x #s(literal 1/2 binary64)))))))
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(*.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) #s(literal 1/8 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) #s(literal 1/4 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))))
(*.f64 (*.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) #s(literal -1/4 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))

eval111.0ms (1%)

Memory
23.5MiB live, 258.9MiB allocated
Compiler

Compiled 22 606 to 1 935 computations (91.4% saved)

prune142.0ms (1.2%)

Memory
-26.3MiB live, 300.5MiB allocated
Pruning

38 alts after pruning (33 fresh and 5 done)

PrunedKeptTotal
New90218920
Fresh41519
Picked325
Done033
Total90938947
Accuracy
100.0%
Counts
947 → 38
Alt Table
Click to see full alt table
StatusAccuracyProgram
85.1%
(/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) y) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
90.3%
(/.f64 (*.f64 (sin.f64 y) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) y)
80.1%
(/.f64 (*.f64 (sin.f64 y) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) y)
52.7%
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y)))
52.5%
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(approx (* (pow y -1/2) (* (cosh x) (sin y))) (*.f64 (sin.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
34.6%
(*.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (sin.f64 y))) (neg.f64 (*.f64 y (*.f64 y y)))) (fma.f64 y y #s(literal 0 binary64)))
99.8%
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
64.7%
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/576 binary64)) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) y) (sin.f64 y))
90.8%
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) y) (sin.f64 y))
52.7%
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* x (* x (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2))) 1) #s(literal 1 binary64))) y) (sin.f64 y))
80.0%
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (sin.f64 y) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
78.4%
(*.f64 (cosh.f64 x) (/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 (neg.f64 y) (sin.f64 y))))
61.2%
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
60.3%
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
56.3%
(*.f64 #s(approx (sin y) (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
56.7%
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) y))
54.4%
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
88.0%
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
52.9%
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
54.4%
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
52.9%
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
80.1%
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
51.9%
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
50.9%
(*.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 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
46.7%
(*.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(literal 1 binary64)))
30.8%
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 (sin.f64 y) y))
26.8%
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) y))
26.7%
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
27.4%
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
26.6%
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
22.8%
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
35.8%
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64))) (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) y))
35.8%
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
38.0%
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
33.7%
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
27.4%
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
52.8%
#s(approx (/ (cosh x) (/ y (sin y))) (/.f64 (sin.f64 y) y))
27.4%
#s(approx (* (cosh x) (/ (neg (- 1/2 (* 1/2 (cos (* y 2))))) (* (neg y) (sin y)))) (/.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 y (sin.f64 y))))
Compiler

Compiled 1 265 to 746 computations (41% saved)

simplify63.0ms (0.5%)

Memory
12.0MiB live, 90.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
cost-diff0
#s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
cost-diff0
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
cost-diff0
(/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) y)
cost-diff0
#s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64))
cost-diff0
#s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64))) (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) y))
cost-diff0
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
cost-diff0
#s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
cost-diff0
#s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
cost-diff0
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
cost-diff0
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
cost-diff0
#s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) y)
cost-diff0
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) y) (sin.f64 y))
Rules
1 336×lower-fma.f32
1 318×lower-fma.f64
646×lower-*.f32
626×lower-*.f64
348×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051471
085471
1168467
2340467
3551467
4707467
5734467
6880467
7966467
81084467
91094467
101097467
111100467
121108467
131134467
141135467
01135456
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) y) (sin.f64 y))
(/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) y)
#s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
x
(*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(*.f64 x x)
#s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
y
(sin.f64 y)
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
#s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
#s(literal 1/2 binary64)
(*.f64 x x)
x
#s(approx (/ (sin y) y) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64))) (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) y))
#s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64)))
#s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) y)
#s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y))
(fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)
y
(*.f64 (*.f64 y y) #s(literal -1/6 binary64))
(*.f64 y y)
#s(literal -1/6 binary64)
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 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 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(*.f64 y y)
y
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
#s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 x x)
x
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 (sin.f64 y) y)
(sin.f64 y)
y
Outputs
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) y) (sin.f64 y))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
(/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) y)
(/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) y)
#s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
x
(*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
(*.f64 x x)
#s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
y
(sin.f64 y)
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
#s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
#s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
#s(approx (+ (* 1/2 (* x x)) 1) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
(*.f64 x x)
x
#s(approx (/ (sin y) y) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64))) (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) y))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64))) (/.f64 #s(approx (sin y) (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y)) y))
#s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64)))
#s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) y)
(/.f64 #s(approx (sin y) (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y)) y)
#s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y))
#s(approx (sin y) (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y))
(fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)
(fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y)
y
(*.f64 (*.f64 y y) #s(literal -1/6 binary64))
(*.f64 y (*.f64 y #s(literal -1/6 binary64)))
(*.f64 y y)
#s(literal -1/6 binary64)
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #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 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(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))
#s(literal 1/2 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(*.f64 y y)
y
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) y)
#s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 x x)
x
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 (sin.f64 y) y)
(sin.f64 y)
y

localize207.0ms (1.8%)

Memory
-23.8MiB live, 374.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
accuracy99.9%
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
accuracy99.8%
(/.f64 (sin.f64 y) y)
accuracy88.2%
#s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
accuracy99.9%
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
accuracy99.5%
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
accuracy80.4%
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
accuracy47.9%
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
accuracy99.7%
(*.f64 (*.f64 y y) #s(literal -1/6 binary64))
accuracy80.4%
#s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64)))
accuracy53.6%
#s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64))
accuracy48.1%
#s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
accuracy80.4%
#s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
accuracy49.6%
#s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
accuracy48.6%
#s(approx (/ (sin y) y) #s(literal 1 binary64))
accuracy99.9%
(*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
accuracy99.8%
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) y) (sin.f64 y))
accuracy90.5%
#s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
accuracy53.7%
#s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64))
Samples
104.0ms256×0valid
Compiler

Compiled 267 to 41 computations (84.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 82.0ms
ival-sin: 24.0ms (29.3% of total)
ival-mult: 23.0ms (28.1% of total)
const: 15.0ms (18.3% of total)
ival-add: 13.0ms (15.9% of total)
ival-div: 4.0ms (4.9% of total)
ival-cosh: 3.0ms (3.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series59.0ms (0.5%)

Memory
2.2MiB live, 41.0MiB allocated
Counts
29 → 420
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) y) (sin.f64 y)) (patch (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) y) (sin.f64 y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) y) (patch (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) y) #<representation binary64>) () ())
#s(alt #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (patch (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (patch #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (patch #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64))) (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) y)) (patch (*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64))) (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) y)) #<representation binary64>) () ())
#s(alt #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64))) (patch #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) y) (patch (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) y) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (patch (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (patch (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())
#s(alt #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) (patch #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (patch (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (sin y) y) #s(literal 1 binary64)) (patch #s(approx (/ (sin y) y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) (patch #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) (patch (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (patch #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (/ (sin y) y) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) y) (sin.f64 y)) (patch (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) y) (sin.f64 y)) (patch (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) y) (sin.f64 y)) (patch (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ (* (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)) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) y) (sin.f64 y)) (patch (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) y) (sin.f64 y)) #<representation binary64>) () ())) ())
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#s(alt (+ 1/120 (* -1/5040 (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/120 (* -1/5040 (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/120 (* -1/5040 (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/5040 (pow y 2)) (taylor inf y) (#s(alt (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) (taylor inf y) (#s(alt (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) (taylor inf y) (#s(alt (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) (taylor inf y) (#s(alt (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/5040 (pow y 2)) (taylor -inf y) (#s(alt (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) (taylor -inf y) (#s(alt (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) (taylor -inf y) (#s(alt (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) (taylor -inf y) (#s(alt (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt -1/6 (taylor 0 y) (#s(alt (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/120 (pow y 2)) 1/6) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/5040 (pow y 4)) (taylor inf y) (#s(alt (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) (taylor inf y) (#s(alt (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4))))) (taylor inf y) (#s(alt (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4))))) (taylor inf y) (#s(alt (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/5040 (pow y 4)) (taylor -inf y) (#s(alt (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) (taylor -inf y) (#s(alt (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4))))) (taylor -inf y) (#s(alt (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4))))) (taylor -inf y) (#s(alt (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/6 (pow y 2))) (taylor 0 y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) (taylor 0 y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (taylor 0 y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) y) (taylor inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) y) (taylor inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) y) (taylor inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) y) (taylor inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) y) (taylor -inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) y) (taylor -inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) y) (taylor -inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) y) (taylor -inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/24 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/24 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/24 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/24 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/24 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
Calls

105 calls:

TimeVariablePointExpression
0.0ms
y
@inf
(+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)
0.0ms
y
@inf
(+ (* (* y y) -1/5040) 1/120)
0.0ms
x
@inf
(+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1)
0.0ms
y
@0
(+ (* (* y y) -1/5040) 1/120)
0.0ms
x
@0
(+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1)

simplify908.0ms (7.9%)

Memory
36.3MiB live, 794.4MiB allocated
Algorithm
egg-herbie
Rules
24 312×lower-fma.f64
24 312×lower-fma.f32
5 400×lower-+.f64
5 400×lower-+.f32
4 564×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01574280
15004160
215454040
347193941
083773728
Stop Event
iter limit
node limit
Counts
420 → 419
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))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 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)))))))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) 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))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) 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 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
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)))))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(/ (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))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
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(/ (sin y) y)
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(/ (sin y) y)
(/ (sin y) y)
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1
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(/ (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))
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1
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1/24
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(* 1/2 x)
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(* 1/720 (pow x 5))
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1
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y
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(sin y)
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(/ (sin y) y)
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1/120
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(/ (sin y) y)
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1/2
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(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
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Outputs
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #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 (/.f64 (sin.f64 y) y) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(+ (* (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 (*.f64 x x) (*.f64 (/.f64 (sin.f64 y) y) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) (/.f64 (sin.f64 y) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
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(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
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(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(/.f64 (*.f64 (sin.f64 y) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) y)
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(/.f64 (*.f64 (sin.f64 y) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) y)
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
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(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(/.f64 (*.f64 (sin.f64 y) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) y)
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(/.f64 (*.f64 (sin.f64 y) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) y)
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(/.f64 (*.f64 (sin.f64 y) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) y)
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.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 x) (exp.f64 (neg.f64 x))) (fma.f64 #s(literal -1/12 binary64) (*.f64 y y) #s(literal 1/2 binary64)))
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(*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1/120 binary64) (*.f64 y y)))))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1/120 binary64) (*.f64 y y)))))
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/24 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* 1/24 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* 1/24 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(* 1/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(* 1/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))

rewrite636.0ms (5.5%)

Memory
-14.5MiB live, 369.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 880×lower-*.f32
5 860×lower-*.f64
4 750×lower-fma.f32
4 732×lower-fma.f64
4 420×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051391
085391
1307388
22047388
08691379
Stop Event
iter limit
node limit
iter limit
Counts
29 → 421
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) y) (sin.f64 y))
(/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) y)
#s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
#s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64))) (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) y))
#s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64)))
#s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64))
(/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) 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) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 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 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
#s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
#s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64))
(*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
#s(approx (/ (sin y) y) #s(literal 1 binary64))
#s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y))
(*.f64 (*.f64 y y) #s(literal -1/6 binary64))
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(/.f64 (sin.f64 y) y)
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sin.f64 y))))
(/.f64 (sin.f64 y) (/.f64 y #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (/.f64 y #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sin.f64 y)) y)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sin.f64 y)))))
(/.f64 (neg.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sin.f64 y))) (neg.f64 y))
(/.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) (/.f64 y #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (*.f64 (sin.f64 y) (neg.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (neg.f64 y))
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 y #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (*.f64 (neg.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sin.f64 y)) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sin.f64 y)))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64))) (neg.f64 (/.f64 y #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (*.f64 (sin.f64 y) (neg.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 (/.f64 y #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (*.f64 (neg.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sin.f64 y))) (neg.f64 (neg.f64 y)))
(pow.f64 (/.f64 y (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sin.f64 y))) #s(literal -1 binary64))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) y))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sin.f64 y)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) y))
(*.f64 (/.f64 (neg.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64)) (/.f64 (sin.f64 y) y))
(exp.f64 (*.f64 (log.f64 (/.f64 y #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 y)))
(neg.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) y))
(/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))))
(/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) y)
(/.f64 (neg.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (neg.f64 y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (neg.f64 (neg.f64 y)))
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) y)
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))) (neg.f64 (neg.f64 (neg.f64 y))))
(/.f64 (neg.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))) (neg.f64 y))
(pow.f64 (/.f64 y #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 y #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) y))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y))
(*.f64 (neg.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64)))
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(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/5040 binary64)))))) #s(literal 3 binary64)) (*.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))))) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/5040 binary64)))))) (+.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/5040 binary64)))))) (-.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/5040 binary64)))))) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1/36 binary64)) (*.f64 y (*.f64 (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) (fma.f64 (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) (*.f64 y y)))) #s(literal -1/216 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (fma.f64 y (*.f64 (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))) #s(literal -1/36 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) (*.f64 y y)))) #s(literal -1/216 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1/36 binary64)) (*.f64 y (*.f64 (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))))))
(*.f64 (fma.f64 y (*.f64 (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 y (sin.f64 y))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (sin.f64 y) (neg.f64 y)))
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 (sin.f64 y)) y))
(/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (sin.f64 y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y (sin.f64 y)))))
(/.f64 (sin.f64 y) y)
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (sin.f64 y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y (sin.f64 y)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 y))) (neg.f64 (neg.f64 y)))
(/.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) y)
(/.f64 (neg.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 y)))) (neg.f64 (neg.f64 (neg.f64 y))))
(pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 y (sin.f64 y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) y))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))
(+.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
(-.f64 (/.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) (/.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x #s(literal 1/24 binary64)) x #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/48 binary64)))) (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/4 binary64))))
(/.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/48 binary64)))))
(/.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/48 binary64)))))
(/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/48 binary64)))) (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/4 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/48 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/48 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal 1/512 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/110592 binary64)))) (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/48 binary64))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal 1/64 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/48 binary64))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal 1/64 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/4 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 1/16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/48 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/48 binary64)))) (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/48 binary64))))))
(*.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))

eval271.0ms (2.4%)

Memory
28.1MiB live, 151.4MiB allocated
Compiler

Compiled 23 573 to 1 761 computations (92.5% saved)

prune278.0ms (2.4%)

Memory
-3.9MiB live, 233.4MiB allocated
Pruning

42 alts after pruning (33 fresh and 9 done)

PrunedKeptTotal
New90111912
Fresh62228
Picked145
Done055
Total90842950
Accuracy
100.0%
Counts
950 → 42
Alt Table
Click to see full alt table
StatusAccuracyProgram
85.1%
(/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) y) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
90.3%
(/.f64 (*.f64 (sin.f64 y) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) y)
80.1%
(/.f64 (*.f64 (sin.f64 y) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) y)
52.7%
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y)))
52.5%
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(approx (* (pow y -1/2) (* (cosh x) (sin y))) (*.f64 (sin.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
34.6%
(*.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (sin.f64 y))) (neg.f64 (*.f64 y (*.f64 y y)))) (fma.f64 y y #s(literal 0 binary64)))
99.8%
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
64.7%
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/576 binary64)) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) y) (sin.f64 y))
90.8%
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) y) (sin.f64 y))
52.7%
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* x (* x (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2))) 1) #s(literal 1 binary64))) y) (sin.f64 y))
80.0%
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (sin.f64 y) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
78.4%
(*.f64 (cosh.f64 x) (/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 (neg.f64 y) (sin.f64 y))))
61.2%
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
60.3%
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
22.8%
(*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))
56.3%
(*.f64 #s(approx (sin y) (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
88.0%
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
55.9%
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
55.3%
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
52.9%
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
54.4%
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
57.0%
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
54.4%
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
52.9%
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
80.1%
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
51.9%
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) -1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
51.8%
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6) (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y y))))) #s(literal 1 binary64))))
50.9%
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
46.7%
(*.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(literal 1 binary64)))
38.6%
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))) (/.f64 (sin.f64 y) y))
30.8%
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 (sin.f64 y) y))
26.8%
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) y))
26.7%
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
26.6%
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
22.8%
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
35.8%
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64))) (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) y))
33.7%
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
35.8%
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
38.0%
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
27.4%
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
52.8%
#s(approx (/ (cosh x) (/ y (sin y))) (/.f64 (sin.f64 y) y))
27.4%
#s(approx (* (cosh x) (/ (neg (- 1/2 (* 1/2 (cos (* y 2))))) (* (neg y) (sin y)))) (/.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 y (sin.f64 y))))
Compiler

Compiled 1 781 to 617 computations (65.4% saved)

regimes91.0ms (0.8%)

Memory
-17.1MiB live, 183.3MiB allocated
Counts
64 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #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) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #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 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64))) (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) y))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) y))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) 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) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6) (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y y))))) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) -1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin y) (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) y))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y))
#s(approx (/ (cosh x) (/ y (sin y))) (/.f64 (sin.f64 y) y))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) (sin.f64 y))
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* x (* x (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2))) 1) #s(literal 1 binary64))) y) (sin.f64 y))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.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))
(/.f64 (*.f64 (sin.f64 y) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) y)
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (sin.f64 y) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))) (/.f64 (sin.f64 y) y))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) y) (sin.f64 y))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) y) (sin.f64 y))
(/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) y) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) y) (sin.f64 y))
(/.f64 (*.f64 (sin.f64 y) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) y)
(*.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (sin.f64 y))) (neg.f64 (*.f64 y (*.f64 y y)))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/576 binary64)) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) y) (sin.f64 y))
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
#s(approx (* (cosh x) (/ (neg (- 1/2 (* 1/2 (cos (* y 2))))) (* (neg y) (sin y)))) (/.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 y (sin.f64 y))))
(*.f64 (cosh.f64 x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (sin.f64 y))) (*.f64 y y)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(approx (* (pow y -1/2) (* (cosh x) (sin y))) (*.f64 (sin.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
(/.f64 (/.f64 (cosh.f64 x) y) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(*.f64 (cosh.f64 x) (/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (*.f64 (neg.f64 y) (sin.f64 y))))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y))))
(*.f64 (cosh.f64 x) (/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 (neg.f64 y) (sin.f64 y))))
(*.f64 (cosh.f64 x) (/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 (neg.f64 y) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) #s(literal 0 binary64)))))
Outputs
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Calls

5 calls:

19.0ms
x
19.0ms
y
19.0ms
(/.f64 (sin.f64 y) y)
16.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
14.0ms
(cosh.f64 x)
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
99.9%1(cosh.f64 x)
99.9%1(/.f64 (sin.f64 y) y)
Compiler

Compiled 25 to 17 computations (32% saved)

regimes86.0ms (0.7%)

Memory
6.7MiB live, 116.9MiB allocated
Counts
53 → 3
Calls
Call 1
Inputs
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #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) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #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 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64))) (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) y))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) y))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) 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) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6) (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y y))))) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) -1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin y) (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) y))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y))
#s(approx (/ (cosh x) (/ y (sin y))) (/.f64 (sin.f64 y) y))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) (sin.f64 y))
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* x (* x (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2))) 1) #s(literal 1 binary64))) y) (sin.f64 y))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.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))
(/.f64 (*.f64 (sin.f64 y) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) y)
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (sin.f64 y) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))) (/.f64 (sin.f64 y) y))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) y) (sin.f64 y))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) y) (sin.f64 y))
(/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) y) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) y) (sin.f64 y))
(/.f64 (*.f64 (sin.f64 y) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) y)
(*.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (sin.f64 y))) (neg.f64 (*.f64 y (*.f64 y y)))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/576 binary64)) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) y) (sin.f64 y))
Outputs
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
Calls

5 calls:

21.0ms
x
20.0ms
y
15.0ms
(cosh.f64 x)
14.0ms
(/.f64 (sin.f64 y) y)
12.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Results
AccuracySegmentsBranch
96.9%3x
93.6%2y
99.6%3(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
92.0%1(cosh.f64 x)
93.6%2(/.f64 (sin.f64 y) y)
Compiler

Compiled 25 to 17 computations (32% saved)

regimes50.0ms (0.4%)

Memory
-30.7MiB live, 30.5MiB allocated
Counts
47 → 3
Calls
Call 1
Inputs
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #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) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #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 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64))) (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) y))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) y))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) 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) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6) (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y y))))) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) -1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin y) (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) y))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y))
#s(approx (/ (cosh x) (/ y (sin y))) (/.f64 (sin.f64 y) y))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) (sin.f64 y))
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* x (* x (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2))) 1) #s(literal 1 binary64))) y) (sin.f64 y))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.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))
(/.f64 (*.f64 (sin.f64 y) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) y)
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (sin.f64 y) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))) (/.f64 (sin.f64 y) y))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) y) (sin.f64 y))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) y) (sin.f64 y))
(/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) y) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
Outputs
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
Calls

1 calls:

11.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Results
AccuracySegmentsBranch
99.6%3(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes13.0ms (0.1%)

Memory
23.6MiB live, 23.6MiB allocated
Counts
43 → 3
Calls
Call 1
Inputs
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #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) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #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 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64))) (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) y))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) y))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) 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) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6) (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y y))))) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) -1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin y) (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) y))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y))
#s(approx (/ (cosh x) (/ y (sin y))) (/.f64 (sin.f64 y) y))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) (sin.f64 y))
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* x (* x (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2))) 1) #s(literal 1 binary64))) y) (sin.f64 y))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.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))
(/.f64 (*.f64 (sin.f64 y) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) y)
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (sin.f64 y) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))) (/.f64 (sin.f64 y) y))
Outputs
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
Calls

1 calls:

11.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Results
AccuracySegmentsBranch
99.5%3(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes247.0ms (2.1%)

Memory
-17.2MiB live, 20.6MiB allocated
Counts
39 → 3
Calls
Call 1
Inputs
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #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) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #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 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64))) (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) y))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) y))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) 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) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6) (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y y))))) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) -1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin y) (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) y))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y))
#s(approx (/ (cosh x) (/ y (sin y))) (/.f64 (sin.f64 y) y))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) (sin.f64 y))
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* x (* x (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2))) 1) #s(literal 1 binary64))) y) (sin.f64 y))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 (sin.f64 y) y))
Outputs
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #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) #s(literal 1 binary64)))
Calls

1 calls:

244.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Results
AccuracySegmentsBranch
99.2%3(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory
17.4MiB live, 17.4MiB allocated
Counts
34 → 3
Calls
Call 1
Inputs
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #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) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #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 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64))) (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) y))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) y))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) 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) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6) (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y y))))) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) -1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin y) (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) y))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y))
#s(approx (/ (cosh x) (/ y (sin y))) (/.f64 (sin.f64 y) y))
Outputs
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #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) #s(literal 1 binary64)))
Calls

1 calls:

9.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Results
AccuracySegmentsBranch
98.5%3(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes48.0ms (0.4%)

Memory
19.4MiB live, 95.3MiB allocated
Counts
32 → 2
Calls
Call 1
Inputs
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #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) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #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 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64))) (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) y))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) y))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) 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) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6) (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y y))))) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) -1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin y) (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) y))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
Outputs
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
Calls

5 calls:

11.0ms
x
11.0ms
y
9.0ms
(/.f64 (sin.f64 y) y)
8.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
7.0ms
(cosh.f64 x)
Results
AccuracySegmentsBranch
60.3%1(cosh.f64 x)
63.5%2y
73.3%2(/.f64 (sin.f64 y) y)
64.2%3x
73.3%2(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Compiler

Compiled 25 to 17 computations (32% saved)

regimes22.0ms (0.2%)

Memory
-1.3MiB live, 40.1MiB allocated
Counts
31 → 3
Calls
Call 1
Inputs
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #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) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #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 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64))) (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) y))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) y))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) 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) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6) (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y y))))) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) -1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin y) (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) y))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
Calls

2 calls:

9.0ms
(/.f64 (sin.f64 y) y)
8.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Results
AccuracySegmentsBranch
69.7%3(/.f64 (sin.f64 y) y)
67.5%2(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes16.0ms (0.1%)

Memory
-11.8MiB live, 24.6MiB allocated
Counts
30 → 3
Calls
Call 1
Inputs
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #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) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #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 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64))) (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) y))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) y))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) 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) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6) (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y y))))) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) -1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin y) (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) y))
Outputs
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
Calls

1 calls:

9.0ms
(/.f64 (sin.f64 y) y)
Results
AccuracySegmentsBranch
69.7%3(/.f64 (sin.f64 y) y)
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory
-18.0MiB live, 21.1MiB allocated
Counts
28 → 3
Calls
Call 1
Inputs
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #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) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #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 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64))) (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) y))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) y))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) 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) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6) (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y y))))) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) -1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin y) (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
Calls

1 calls:

9.0ms
(/.f64 (sin.f64 y) y)
Results
AccuracySegmentsBranch
69.7%3(/.f64 (sin.f64 y) y)
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory
20.0MiB live, 20.0MiB allocated
Counts
27 → 3
Calls
Call 1
Inputs
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #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) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #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 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64))) (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) y))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) y))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) 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) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6) (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y y))))) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) -1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin y) (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
Outputs
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6) (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y y))))) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
Calls

1 calls:

8.0ms
(/.f64 (sin.f64 y) y)
Results
AccuracySegmentsBranch
69.7%3(/.f64 (sin.f64 y) y)
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory
-22.0MiB live, 17.3MiB allocated
Counts
23 → 3
Calls
Call 1
Inputs
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #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) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #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 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64))) (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) y))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) y))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) y))
Outputs
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
Calls

1 calls:

7.0ms
(/.f64 (sin.f64 y) y)
Results
AccuracySegmentsBranch
69.1%3(/.f64 (sin.f64 y) y)
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes12.0ms (0.1%)

Memory
24.9MiB live, 24.9MiB allocated
Counts
19 → 3
Calls
Call 1
Inputs
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #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) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #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 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64))) (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) y))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
Outputs
(*.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 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
Calls

2 calls:

6.0ms
(/.f64 (sin.f64 y) y)
5.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Results
AccuracySegmentsBranch
66.5%2(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
68.8%3(/.f64 (sin.f64 y) y)
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes14.0ms (0.1%)

Memory
-17.6MiB live, 23.5MiB allocated
Counts
17 → 3
Calls
Call 1
Inputs
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #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) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #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 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64))) (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) y))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
Outputs
(*.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 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
Calls

2 calls:

8.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
5.0ms
(/.f64 (sin.f64 y) y)
Results
AccuracySegmentsBranch
65.0%2(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
67.6%3(/.f64 (sin.f64 y) y)
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory
12.0MiB live, 12.0MiB allocated
Counts
16 → 3
Calls
Call 1
Inputs
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #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) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #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 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64))) (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) y))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
Outputs
(*.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 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
Calls

1 calls:

5.0ms
(/.f64 (sin.f64 y) y)
Results
AccuracySegmentsBranch
67.6%3(/.f64 (sin.f64 y) y)
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0%)

Memory
10.3MiB live, 10.3MiB allocated
Counts
14 → 3
Calls
Call 1
Inputs
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #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) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #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 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64))) (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) y))
Outputs
(*.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 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
Calls

1 calls:

5.0ms
(/.f64 (sin.f64 y) y)
Results
AccuracySegmentsBranch
66.9%3(/.f64 (sin.f64 y) y)
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes19.0ms (0.2%)

Memory
-4.5MiB live, 34.6MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #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) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #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 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
Outputs
(*.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 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
Calls

5 calls:

4.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
4.0ms
y
4.0ms
x
4.0ms
(/.f64 (sin.f64 y) y)
3.0ms
(cosh.f64 x)
Results
AccuracySegmentsBranch
50.9%1(cosh.f64 x)
53.6%2x
54.1%3y
58.8%2(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
61.8%3(/.f64 (sin.f64 y) y)
Compiler

Compiled 25 to 17 computations (32% saved)

regimes4.0ms (0%)

Memory
6.0MiB live, 6.0MiB allocated
Counts
8 → 3
Calls
Call 1
Inputs
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #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) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
Calls

1 calls:

3.0ms
(/.f64 (sin.f64 y) y)
Results
AccuracySegmentsBranch
61.8%3(/.f64 (sin.f64 y) y)
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes254.0ms (2.2%)

Memory
-27.8MiB live, 11.3MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #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) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #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) #s(literal 1 binary64)))
Calls

2 calls:

251.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
3.0ms
(/.f64 (sin.f64 y) y)
Results
AccuracySegmentsBranch
58.8%2(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
58.6%2(/.f64 (sin.f64 y) y)
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes6.0ms (0%)

Memory
8.5MiB live, 8.5MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #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) #s(literal 1 binary64)))
Outputs
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #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) #s(literal 1 binary64)))
Calls

2 calls:

3.0ms
(/.f64 (sin.f64 y) y)
2.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Results
AccuracySegmentsBranch
53.9%2(/.f64 (sin.f64 y) y)
53.9%2(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory
11.7MiB live, 11.7MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
Calls

3 calls:

2.0ms
x
2.0ms
(/.f64 (sin.f64 y) y)
2.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Results
AccuracySegmentsBranch
49.6%2x
42.0%3(/.f64 (sin.f64 y) y)
53.4%2(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory
13.2MiB live, 13.2MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))
Outputs
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
Calls

4 calls:

2.0ms
y
2.0ms
x
2.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
1.0ms
(cosh.f64 x)
Results
AccuracySegmentsBranch
46.6%2x
46.6%2(cosh.f64 x)
35.9%2y
46.7%2(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes8.0ms (0.1%)

Memory
-21.5MiB live, 17.5MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

5 calls:

2.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
1.0ms
x
1.0ms
y
1.0ms
(/.f64 (sin.f64 y) y)
1.0ms
(cosh.f64 x)
Results
AccuracySegmentsBranch
27.4%1y
27.4%1(/.f64 (sin.f64 y) y)
27.4%1x
27.4%1(cosh.f64 x)
27.4%1(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Compiler

Compiled 25 to 17 computations (32% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999999282907
1.0
0.0ms
-inf
-0.010212819543354932
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999999282907
1.0
0.0ms
-inf
-0.010212819543354932
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999999282907
1.0
0.0ms
-inf
-0.010212819543354932
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999999282907
1.0
0.0ms
-inf
-0.010212819543354932
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999999282907
1.0
0.0ms
-inf
-0.010212819543354932
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-9.903792422115012e-149
-2.699621710491672e-161
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.9254615850223107e-65
6.938850101368337e-64
0.0ms
-3.0608161399709553e-300
1.8473590381659292e-298
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.9254615850223107e-65
6.938850101368337e-64
0.0ms
-3.0608161399709553e-300
1.8473590381659292e-298
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.9254615850223107e-65
6.938850101368337e-64
0.0ms
-3.0608161399709553e-300
1.8473590381659292e-298
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.9254615850223107e-65
6.938850101368337e-64
0.0ms
-3.0608161399709553e-300
1.8473590381659292e-298
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.9254615850223107e-65
6.938850101368337e-64
0.0ms
-3.0608161399709553e-300
1.8473590381659292e-298
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.9254615850223107e-65
6.938850101368337e-64
0.0ms
-3.0608161399709553e-300
1.8473590381659292e-298
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.9254615850223107e-65
6.938850101368337e-64
0.0ms
-3.0608161399709553e-300
1.8473590381659292e-298
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.9254615850223107e-65
6.938850101368337e-64
0.0ms
-3.0608161399709553e-300
1.8473590381659292e-298
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.2073039058590263e-101
8.149818371820307e-96
0.0ms
-3.0608161399709553e-300
1.8473590381659292e-298
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.3549285349858164e-78
3.2933465848822605e-75
0.0ms
-3.0608161399709553e-300
1.8473590381659292e-298
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.3549285349858164e-78
3.2933465848822605e-75
0.0ms
-3.0608161399709553e-300
1.8473590381659292e-298
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-9.903792422115012e-149
-2.699621710491672e-161
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-9.903792422115012e-149
-2.699621710491672e-161
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.000000000000031
+inf
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.000000000000031
+inf
Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify19.0ms (0.2%)

Memory
-12.4MiB live, 28.5MiB allocated
Algorithm
egg-herbie
Rules
66×*-commutative_binary64
1-exp_binary64
1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01381583
11741583
Stop Event
saturated
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 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 2251799813523773/2251799813685248 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (*.f64 (cosh.f64 x) #s(approx (/ (sin 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 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 2251799813523773/2251799813685248 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (*.f64 (cosh.f64 x) #s(approx (/ (sin 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 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 2251799813523773/2251799813685248 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (*.f64 (cosh.f64 x) #s(approx (/ (sin 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 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 2251799813523773/2251799813685248 binary64)) #s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 2251799813523773/2251799813685248 binary64)) #s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -5758609657015291/115172193140305827399949785796761135587064246228529065807379342658863042065190089480167441564259605943037975312218134915154131611020654072038617988630148194691448832 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -6032057205060441/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 4742843975160471/237142198758023568227473377297792835283496928595231875152809132048206089502588928 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -6032057205060441/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 4742843975160471/237142198758023568227473377297792835283496928595231875152809132048206089502588928 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -6032057205060441/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 4742843975160471/237142198758023568227473377297792835283496928595231875152809132048206089502588928 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -6032057205060441/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6) (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y y))))) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 4742843975160471/237142198758023568227473377297792835283496928595231875152809132048206089502588928 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -6032057205060441/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 4742843975160471/237142198758023568227473377297792835283496928595231875152809132048206089502588928 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -6032057205060441/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656 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 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 4742843975160471/237142198758023568227473377297792835283496928595231875152809132048206089502588928 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -6032057205060441/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656 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 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 4742843975160471/237142198758023568227473377297792835283496928595231875152809132048206089502588928 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -6032057205060441/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656 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 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 4742843975160471/237142198758023568227473377297792835283496928595231875152809132048206089502588928 binary64)) (*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -6032057205060441/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656 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 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 492525077454931/9850501549098619803069760025035903451269934817616361666987073351061430442874302652853566563721228910201656997576704 binary64)) (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -6032057205060441/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656 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 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 8343699359066055/2085924839766513752338888384931203236916703635113918720651407820138886450957656787131798913024 binary64)) (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -6032057205060441/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656 binary64)) (*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 8343699359066055/2085924839766513752338888384931203236916703635113918720651407820138886450957656787131798913024 binary64)) (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -5758609657015291/115172193140305827399949785796761135587064246228529065807379342658863042065190089480167441564259605943037975312218134915154131611020654072038617988630148194691448832 binary64)) (*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #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) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -5758609657015291/115172193140305827399949785796761135587064246228529065807379342658863042065190089480167441564259605943037975312218134915154131611020654072038617988630148194691448832 binary64)) (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #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) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 2 binary64)) (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 2 binary64)) (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
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 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 2251799813523773/2251799813685248 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (*.f64 (cosh.f64 x) #s(approx (/ (sin 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 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 2251799813523773/2251799813685248 binary64)) (*.f64 (/.f64 (sin.f64 y) y) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (*.f64 (cosh.f64 x) #s(approx (/ (sin 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 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 2251799813523773/2251799813685248 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (*.f64 (cosh.f64 x) #s(approx (/ (sin 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 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 2251799813523773/2251799813685248 binary64)) (*.f64 (/.f64 (sin.f64 y) y) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (*.f64 (cosh.f64 x) #s(approx (/ (sin 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 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 2251799813523773/2251799813685248 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (*.f64 (cosh.f64 x) #s(approx (/ (sin 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 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 2251799813523773/2251799813685248 binary64)) (*.f64 (/.f64 (sin.f64 y) y) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 (cosh.f64 x) #s(approx (/ (sin 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 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 2251799813523773/2251799813685248 binary64)) #s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 2251799813523773/2251799813685248 binary64)) #s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -5758609657015291/115172193140305827399949785796761135587064246228529065807379342658863042065190089480167441564259605943037975312218134915154131611020654072038617988630148194691448832 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -6032057205060441/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 4742843975160471/237142198758023568227473377297792835283496928595231875152809132048206089502588928 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -6032057205060441/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 4742843975160471/237142198758023568227473377297792835283496928595231875152809132048206089502588928 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))))
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(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 2 binary64)) (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 2 binary64)) (*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) #s(approx (cosh x) #s(literal 1 binary64))) (*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) #s(approx (cosh x) #s(literal 1 binary64)))

soundness1.6s (14.2%)

Memory
24.5MiB live, 1 223.6MiB allocated
Rules
24 312×lower-fma.f64
24 312×lower-fma.f32
21 860×lower-fma.f64
21 860×lower-fma.f32
14 542×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02563746
18063614
229363421
082203231
083638
1268614
2943588
33164569
08073539
01574280
15004160
215454040
347193941
083773728
02074700
16944482
225004316
360844240
477884240
082064056
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 2 699 to 1 087 computations (59.7% saved)

preprocess203.0ms (1.8%)

Memory
-9.3MiB live, 392.5MiB allocated
Remove

(abs x)

(abs y)

Compiler

Compiled 2 570 to 318 computations (87.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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