Linear.Quaternion:$csinh from linear-1.19.1.3

Time bar (total: 9.0s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze14.0ms (0.2%)

Memory
14.7MiB live, 14.7MiB 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)

sample1.5s (17.1%)

Memory
-166.2MiB live, 1 160.8MiB allocated
Samples
1.3s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 804.0ms
ival-cosh: 362.0ms (45% of total)
ival-sin: 302.0ms (37.6% of total)
ival-div: 68.0ms (8.5% of total)
ival-mult: 63.0ms (7.8% of total)
ival-true: 6.0ms (0.7% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain102.0ms (1.1%)

Memory
-7.2MiB live, 119.0MiB 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
39.0ms512×0valid
Compiler

Compiled 45 to 22 computations (51.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-sin: 11.0ms (48.5% of total)
ival-cosh: 5.0ms (22% of total)
ival-div: 4.0ms (17.6% of total)
ival-mult: 3.0ms (13.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess110.0ms (1.2%)

Memory
2.9MiB live, 41.6MiB 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))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
Symmetry

(abs y)

(abs x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify49.0ms (0.5%)

Memory
-21.2MiB live, 16.6MiB 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))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(cosh.f64 x)
x
(/.f64 (sin.f64 y) y)
(sin.f64 y)
y

localize25.0ms (0.3%)

Memory
9.4MiB live, 48.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(sin.f64 y)
accuracy0
(cosh.f64 x)
accuracy0.0078125
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
accuracy0.12109375
(/.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: 13.0ms
ival-sin: 6.0ms (44.9% of total)
ival-mult: 3.0ms (22.5% of total)
ival-cosh: 3.0ms (22.5% of total)
ival-div: 2.0ms (15% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series63.0ms (0.7%)

Memory
-15.3MiB live, 27.4MiB 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 (* 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 (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 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 (* 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 (/ (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) (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 (* 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 (/ (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) (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) (/.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 (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 (/ (* (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 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 (/ (* (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 -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>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
46.0ms
x
@-inf
((* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (sin y))
3.0ms
x
@inf
((* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (sin y))
2.0ms
y
@-inf
((* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (sin y))
2.0ms
y
@inf
((* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (sin y))
1.0ms
y
@0
((* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (sin y))

simplify260.0ms (2.9%)

Memory
33.1MiB live, 261.1MiB 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
2941588
33141569
08072539
Stop Event
iter limit
node limit
Counts
60 → 59
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
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* 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))
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(sin y)
(sin y)
(sin y)
(sin 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))
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) 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
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (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))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (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 (+ (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))))
Outputs
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/240 binary64) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 y y) #s(literal 1/240 binary64)) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow y 2)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) y)
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(/ (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)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(/ (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)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 y) y))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #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 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x x) (/.f64 (sin.f64 y) y))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))

rewrite194.0ms (2.1%)

Memory
-1.0MiB live, 280.0MiB allocated
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 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) y)
(*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))
(*.f64 (*.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (*.f64 (cosh.f64 x) (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (neg.f64 (cosh.f64 x)) #s(literal -1 binary64)) (/.f64 (sin.f64 y) y))
(*.f64 (pow.f64 (/.f64 (/.f64 y (cosh.f64 x)) (sin.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 y (cosh.f64 x)) (sin.f64 y)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -2 binary64) (/.f64 y (sin.f64 y))) (/.f64 (cosh.f64 x) #s(literal -2 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 (sin.f64 y) #s(literal -2 binary64)) (cosh.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (/.f64 (*.f64 (sin.f64 y) #s(literal -2 binary64)) #s(literal -2 binary64)) (/.f64 (cosh.f64 x) y))
(*.f64 (/.f64 (*.f64 (sin.f64 y) #s(literal -2 binary64)) #s(literal 2 binary64)) (/.f64 (neg.f64 (cosh.f64 x)) y))
(*.f64 (/.f64 (*.f64 (sin.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (cosh.f64 x) y))
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 y)) (cosh.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) y)) (/.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (pow.f64 (sin.f64 y) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) y)) (/.f64 (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal -1 binary64)) (pow.f64 (sin.f64 y) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (cosh.f64 x) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
(*.f64 (/.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))))) (/.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 x #s(literal -2 binary64))))))
(*.f64 (/.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (pow.f64 (cosh.f64 x) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 (neg.f64 (sin.f64 y)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))))) (/.f64 (neg.f64 (sin.f64 y)) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 x #s(literal -2 binary64))))))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) (/.f64 (pow.f64 (cosh.f64 x) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))))) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (/.f64 #s(literal -1/2 binary64) (neg.f64 y)))
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (pow.f64 (sin.f64 y) #s(literal -1 binary64))) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y))))
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) y) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) y) (/.f64 (neg.f64 (sin.f64 y)) #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (pow.f64 (cosh.f64 x) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 (sin.f64 y) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))))) (/.f64 (sin.f64 y) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 x #s(literal -2 binary64))))))
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) (/.f64 (pow.f64 (cosh.f64 x) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))))) (/.f64 (/.f64 #s(literal -1 binary64) y) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 x #s(literal -2 binary64))))))
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 y) y)))
(*.f64 (/.f64 (*.f64 (sin.f64 y) #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 (cosh.f64 x) (*.f64 #s(literal 2 binary64) y)))
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 y)) (cosh.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 (/.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (/.f64 y (sin.f64 y))) #s(literal 1/4 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) y))
(*.f64 (/.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (sin.f64 y))))
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) y) (/.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (/.f64 #s(literal 2 binary64) (sin.f64 y))))
(*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) y) (/.f64 (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (sin.f64 y))))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (/.f64 #s(literal -1/2 binary64) y))
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(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 x #s(literal -2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (*.f64 #s(literal -2 binary64) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 x #s(literal -2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 x #s(literal -2 binary64))))))
(/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (cosh.f64 x))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cosh.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 x #s(literal -2 binary64)))) (*.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (cosh.f64 x) #s(literal -1 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (cosh.f64 x) #s(literal -1 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(/.f64 (cosh.f64 x) #s(literal 1 binary64))
(neg.f64 (neg.f64 (cosh.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 x) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x))))
(fma.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64) (*.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))
(cosh.f64 x)
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (sinh.f64 x))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (*.f64 #s(literal 4 binary64) (sinh.f64 x))))
(-.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x))) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x))) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (cosh.f64 x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x))))
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (*.f64 y y))) y)
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (sin.f64 y) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 (sin.f64 y) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.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 y (sin.f64 y)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y)))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (sin.f64 y)) y))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (sin.f64 y))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) y))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64))
(*.f64 (sin.f64 y) (pow.f64 y #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 (/.f64 y (sin.f64 y)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y)) (sin.f64 y))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) y)) (fma.f64 (sin.f64 y) (sin.f64 y) #s(literal 0 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (sin.f64 y))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (fma.f64 (sin.f64 y) (sin.f64 y) #s(literal 0 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (/.f64 (neg.f64 (sin.f64 y)) y))) (/.f64 (neg.f64 (sin.f64 y)) y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (neg.f64 (sin.f64 y)) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (/.f64 (neg.f64 (sin.f64 y)) y) (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (sin.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) (*.f64 (neg.f64 y) (sin.f64 y))) (*.f64 y y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) (sin.f64 y))) (neg.f64 y)) (*.f64 (neg.f64 y) (/.f64 (neg.f64 y) (sin.f64 y))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 (neg.f64 y) (sin.f64 y)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 (neg.f64 y) (fma.f64 (sin.f64 y) (sin.f64 y) #s(literal 0 binary64))))
(/.f64 (/.f64 (neg.f64 (sin.f64 y)) y) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) (sin.f64 y)))
(/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (sin.f64 y) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y)))
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 y))
(/.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64))
(/.f64 (sin.f64 y) y)
(neg.f64 (/.f64 (neg.f64 (sin.f64 y)) y))
(fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64) (/.f64 (sin.f64 y) y))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (sin.f64 y)) y))
(exp.f64 (*.f64 (log.f64 (/.f64 y (sin.f64 y))) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64)) (/.f64 (sin.f64 y) y))
(+.f64 #s(literal 0 binary64) (/.f64 (sin.f64 y) y))
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y)))
(*.f64 #s(literal 1 binary64) (sin.f64 y))
(*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64))
(*.f64 (sin.f64 y) #s(literal 1 binary64))
(pow.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (sin.f64 y) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (sin.f64 y))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (fma.f64 (sin.f64 y) (sin.f64 y) #s(literal 0 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 (sin.f64 y) (sin.f64 y) #s(literal 0 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (sin.f64 y))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (fma.f64 (sin.f64 y) (sin.f64 y) #s(literal 0 binary64)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (neg.f64 (sin.f64 y)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) (fma.f64 (sin.f64 y) (sin.f64 y) #s(literal 0 binary64))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (neg.f64 (fma.f64 (sin.f64 y) (sin.f64 y) #s(literal 0 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64)))
(/.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64))
(/.f64 (sin.f64 y) #s(literal 1 binary64))
(neg.f64 (sin.f64 (neg.f64 y)))
(neg.f64 (neg.f64 (sin.f64 y)))
(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))))
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (sin.f64 y))

eval61.0ms (0.7%)

Memory
-16.1MiB live, 139.6MiB allocated
Compiler

Compiled 8 310 to 1 245 computations (85% saved)

prune19.0ms (0.2%)

Memory
-1.5MiB live, 75.6MiB 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 (neg.f64 (cosh.f64 x)) y) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
99.9%
(/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)
99.9%
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
99.6%
(*.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))))
66.0%
(*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) y)
99.8%
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
66.4%
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
62.8%
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
66.4%
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
92.9%
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
86.6%
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
76.4%
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
51.7%
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y))
Compiler

Compiled 286 to 226 computations (21% saved)

simplify257.0ms (2.8%)

Memory
9.2MiB live, 183.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 y)
cost-diff0
(neg.f64 (sin.f64 y))
cost-diff0
(*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x))
cost-diff1024
(*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) y)
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
cost-diff0
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
cost-diff0
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
cost-diff0
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
cost-diff0
#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
3 040×lower-*.f32
3 026×lower-*.f64
2 748×lower-fma.f32
2 740×lower-fma.f64
1 468×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
031215
055209
1106209
2247207
3992207
44484207
56686207
08150207
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 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 (sin.f64 y) y)
(sin.f64 y)
y
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
#s(literal 1/720 binary64)
(*.f64 x x)
x
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 (sin.f64 y) y)
(sin.f64 y)
y
(*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) y)
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y)))
(*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x))
(neg.f64 (sin.f64 y))
(sin.f64 y)
y
(cosh.f64 x)
x
(neg.f64 (*.f64 y y))
(*.f64 y y)
Outputs
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (cosh.f64 x) 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)))
(*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) (cosh.f64 x))
(cosh.f64 x)
x
#s(approx (/ (sin y) y) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
(*.f64 (/.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 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 (sin.f64 y) y)
(sin.f64 y)
y
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
#s(literal 1/720 binary64)
(*.f64 x x)
x
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 (sin.f64 y) y)
(sin.f64 y)
y
(*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) y)
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y)))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) y) (cosh.f64 x))
(*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x))
(neg.f64 (sin.f64 y))
(sin.f64 y)
y
(cosh.f64 x)
x
(neg.f64 (*.f64 y y))
(*.f64 (neg.f64 y) y)
(*.f64 y y)

localize136.0ms (1.5%)

Memory
10.7MiB live, 167.2MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0
(cosh.f64 x)
accuracy0.00390625
(*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x))
accuracy6.8436093744060775
(*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) y)
accuracy13.884460167565937
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y)))
accuracy0.0390625
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
accuracy0.12109375
(/.f64 (sin.f64 y) y)
accuracy0.3006302899899046
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
accuracy4.420126755687974
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
accuracy0
(sin.f64 y)
accuracy0.0078125
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
accuracy0.12109375
(/.f64 (sin.f64 y) y)
accuracy14.918901434791072
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
accuracy0
(cosh.f64 x)
accuracy0.0078125
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
accuracy29.850612302828967
#s(approx (/ (sin y) y) #s(literal 1 binary64))
accuracy0
(sin.f64 y)
accuracy0
(cosh.f64 x)
accuracy0.0625
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
accuracy0.07421875
(/.f64 y (sin.f64 y))
Samples
99.0ms256×0valid
Compiler

Compiled 172 to 29 computations (83.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-mult: 23.0ms (45.7% of total)
ival-div: 6.0ms (11.9% of total)
ival-sin: 6.0ms (11.9% of total)
const: 6.0ms (11.9% of total)
ival-add: 4.0ms (7.9% of total)
ival-cosh: 3.0ms (6% of total)
ival-neg: 2.0ms (4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series76.0ms (0.8%)

Memory
-6.5MiB live, 37.4MiB allocated
Counts
20 → 324
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 (*.f64 x x) #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) #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) #s(literal 1/2 binary64) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #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 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (patch (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())
#s(alt #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) y) (patch (*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) y) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (patch (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) #<representation binary64>) () ())
#s(alt (neg.f64 (sin.f64 y)) (patch (neg.f64 (sin.f64 y)) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) (patch (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) #<representation binary64>) () ())
Outputs
#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 (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 (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 (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor 0 y) (#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 (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) (taylor 0 y) (#s(alt (*.f64 (cosh.f64 x) #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 (+ (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) #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 (+ (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) #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 (taylor 0 y) (#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 (+ 1 (* -1/6 (pow y 2))) (taylor 0 y) (#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 (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) (taylor 0 y) (#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 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (taylor 0 y) (#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 (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor 0 y) (#s(alt (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #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) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.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 #s(approx (cosh x) (fma.f64 (*.f64 x x) #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) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.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 #s(approx (cosh x) (fma.f64 (*.f64 x x) #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) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.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 #s(approx (cosh x) (fma.f64 (*.f64 x x) #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) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor 0 y) (#s(alt (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (patch (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.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 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (patch (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.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 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (patch (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.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 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (patch (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor 0 y) (#s(alt (*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) y) (patch (*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) y) #<representation binary64>) () ())) ())
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#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (patch (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.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 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (patch (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.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 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (patch (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.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 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (patch (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/720 (pow x 6)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/720 (pow x 4)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) y) (patch (*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) y) (patch (*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) y) (patch (*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) y) (patch (*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) y) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (patch (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (patch (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (patch (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (patch (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 1/720 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #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 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #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 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #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 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) (patch (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) (patch (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) (patch (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) (patch (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
55.0ms
y
@inf
((/ (cosh x) (/ y (sin y))) (cosh x) (/ y (sin y)) (sin y) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (* x x) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* (/ (* (neg (sin y)) (cosh x)) (neg (* y y))) y) (* (neg (sin y)) (cosh x)) (neg (sin y)) (/ (sin y) y) (+ (* 1/720 (* x x)) 1/24) (/ (* (neg (sin y)) (cosh x)) (neg (* y y))))
3.0ms
x
@inf
((/ (cosh x) (/ y (sin y))) (cosh x) (/ y (sin y)) (sin y) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (* x x) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* (/ (* (neg (sin y)) (cosh x)) (neg (* y y))) y) (* (neg (sin y)) (cosh x)) (neg (sin y)) (/ (sin y) y) (+ (* 1/720 (* x x)) 1/24) (/ (* (neg (sin y)) (cosh x)) (neg (* y y))))
3.0ms
x
@-inf
((/ (cosh x) (/ y (sin y))) (cosh x) (/ y (sin y)) (sin y) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (* x x) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* (/ (* (neg (sin y)) (cosh x)) (neg (* y y))) y) (* (neg (sin y)) (cosh x)) (neg (sin y)) (/ (sin y) y) (+ (* 1/720 (* x x)) 1/24) (/ (* (neg (sin y)) (cosh x)) (neg (* y y))))
2.0ms
y
@-inf
((/ (cosh x) (/ y (sin y))) (cosh x) (/ y (sin y)) (sin y) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (* x x) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* (/ (* (neg (sin y)) (cosh x)) (neg (* y y))) y) (* (neg (sin y)) (cosh x)) (neg (sin y)) (/ (sin y) y) (+ (* 1/720 (* x x)) 1/24) (/ (* (neg (sin y)) (cosh x)) (neg (* y y))))
1.0ms
x
@0
((/ (cosh x) (/ y (sin y))) (cosh x) (/ y (sin y)) (sin y) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (* x x) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* (/ (* (neg (sin y)) (cosh x)) (neg (* y y))) y) (* (neg (sin y)) (cosh x)) (neg (sin y)) (/ (sin y) y) (+ (* 1/720 (* x x)) 1/24) (/ (* (neg (sin y)) (cosh x)) (neg (* y y))))

simplify188.0ms (2.1%)

Memory
-5.8MiB live, 221.5MiB allocated
Algorithm
egg-herbie
Rules
12 636×lower-fma.f64
12 636×lower-fma.f32
4 534×lower-*.f64
4 534×lower-*.f32
4 468×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02053935
16663757
223503610
355903558
475213558
080683386
Stop Event
iter limit
node limit
Counts
324 → 323
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
(+ 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
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
1
(+ 1 (* -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)))
(* 1/2 (+ (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 (+ (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 (+ (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 (* y (+ (exp x) (/ 1 (exp x)))))
(* y (+ (* -1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))
(* y (+ (* -1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/12 (+ (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) (+ (* -1/240 (+ (exp x) (/ 1 (exp x)))) (* 1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))))))
(* -1 y)
(* y (- (* 1/6 (pow y 2)) 1))
(* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))
(* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1))
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)))
(* 1/2 (/ (+ (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))))))))) 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))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(sin y)
(sin y)
(sin y)
(sin 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))
(/ (sin y) y)
(/ (sin y) y)
(/ (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 (/ (* (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)))))
(* -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 (sin y))
(* -1 (sin y))
(* -1 (sin y))
(* -1 (sin y))
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2)))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2)))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2)))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2)))
(* 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))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(sin y)
(sin y)
(sin y)
(sin 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))
(/ (sin y) y)
(/ (sin y) y)
(/ (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 (/ (* (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)))))
(* -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 (sin y))
(* -1 (sin y))
(* -1 (sin y))
(* -1 (sin y))
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2)))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2)))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2)))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 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
(+ 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)))))))
(/ (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))
(/ (sin y) y)
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* 1/2 (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
(+ 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
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (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 (sin y))
(+ (* -1 (sin y)) (* -1/2 (* (pow x 2) (sin y))))
(+ (* -1 (sin y)) (* (pow x 2) (+ (* -1/2 (sin y)) (* -1/24 (* (pow x 2) (sin y))))))
(+ (* -1 (sin y)) (* (pow x 2) (+ (* -1/2 (sin y)) (* (pow x 2) (+ (* -1/24 (sin y)) (* -1/720 (* (pow x 2) (sin y))))))))
1/24
(+ 1/24 (* 1/720 (pow x 2)))
(+ 1/24 (* 1/720 (pow x 2)))
(+ 1/24 (* 1/720 (pow x 2)))
(/ (sin y) (pow y 2))
(+ (* 1/2 (/ (* (pow x 2) (sin y)) (pow y 2))) (/ (sin y) (pow y 2)))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) (pow y 2))) (* 1/2 (/ (sin y) (pow y 2))))) (/ (sin y) (pow y 2)))
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) (pow y 2))) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) (pow y 2))) (* 1/24 (/ (sin y) (pow y 2))))))) (/ (sin y) (pow y 2)))
(* 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))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (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))
(* 1/2 (+ (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 (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)
(* 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))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/720 (pow x 4))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 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)))))
(* -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)))))
(* 1/720 (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 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2)))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2)))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2)))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2)))
(* 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))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (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))
(* 1/2 (+ (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 (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)
(* 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))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/720 (pow x 4))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 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)))))
(* -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)))))
(* 1/720 (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 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2)))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2)))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2)))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2)))
Outputs
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/240 binary64) (*.f64 y y) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
(fma.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (*.f64 y y) (fma.f64 #s(literal -1/10080 binary64) (*.f64 y y) #s(literal 1/240 binary64)) #s(literal -1/12 binary64))) (*.f64 y y) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow y 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 y y) #s(literal 7/360 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) y)
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
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(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
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(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))
(* 1/720 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(*.f64 (*.f64 (sin.f64 y) #s(literal -1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(*.f64 (*.f64 (sin.f64 y) #s(literal -1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(*.f64 (*.f64 (sin.f64 y) #s(literal -1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(*.f64 (*.f64 (sin.f64 y) #s(literal -1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/720 (pow x 2))
(*.f64 #s(literal 1/720 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2)))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2)))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2)))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2)))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/720 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))
(* 1/720 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(*.f64 (*.f64 (sin.f64 y) #s(literal -1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(*.f64 (*.f64 (sin.f64 y) #s(literal -1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(*.f64 (*.f64 (sin.f64 y) #s(literal -1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(*.f64 (*.f64 (sin.f64 y) #s(literal -1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/720 (pow x 2))
(*.f64 #s(literal 1/720 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2)))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2)))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2)))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 2)))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))

rewrite204.0ms (2.3%)

Memory
23.8MiB live, 381.0MiB allocated
Rules
4 956×lower-*.f32
4 942×lower-*.f64
4 420×lower-fma.f32
4 412×lower-fma.f64
4 060×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031175
055169
1180167
21138167
08336167
Stop Event
iter limit
node limit
iter limit
Counts
20 → 926
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 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 x x)
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) y)
(*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x))
(neg.f64 (sin.f64 y))
(/.f64 (sin.f64 y) y)
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y)))
Outputs
(*.f64 (pow.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) (/.f64 y (sin.f64 y))) (/.f64 (cosh.f64 x) #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (/.f64 #s(literal 1/2 binary64) (neg.f64 y)))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (pow.f64 (sin.f64 y) #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (/.f64 (cosh.f64 x) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (cosh.f64 x) (pow.f64 (sin.f64 y) #s(literal -1 binary64))) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 y (/.f64 #s(literal -1 binary64) (cosh.f64 x))) (*.f64 (neg.f64 (sin.f64 y)) (pow.f64 y #s(literal -2 binary64))))
(*.f64 (/.f64 y (/.f64 (neg.f64 y) (cosh.f64 x))) (/.f64 (neg.f64 (sin.f64 y)) y))
(*.f64 (/.f64 y (/.f64 y (cosh.f64 x))) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 y (pow.f64 (sin.f64 y) #s(literal -1 binary64))) (*.f64 (cosh.f64 x) (pow.f64 y #s(literal -2 binary64))))
(*.f64 (/.f64 y (/.f64 (neg.f64 y) (sin.f64 y))) (/.f64 (neg.f64 (cosh.f64 x)) y))
(*.f64 (/.f64 y (/.f64 y (sin.f64 y))) (/.f64 (cosh.f64 x) y))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (neg.f64 y)) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y))))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) #s(literal -1 binary64)) (*.f64 y (neg.f64 (pow.f64 y #s(literal -2 binary64)))))
(*.f64 (/.f64 y #s(literal -1 binary64)) (*.f64 (pow.f64 y #s(literal -2 binary64)) (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x))))
(*.f64 (/.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 (cosh.f64 x)) y))
(*.f64 (pow.f64 (/.f64 (/.f64 y (sin.f64 y)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 (*.f64 y (neg.f64 (pow.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) (cosh.f64 x)))))
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (neg.f64 (cosh.f64 x)) (/.f64 (sin.f64 y) y))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (cosh.f64 x)) (/.f64 y (sin.f64 y))))
(/.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) y)
(/.f64 (sin.f64 y) (*.f64 y (/.f64 y (cosh.f64 x))))
(/.f64 (sin.f64 y) (*.f64 (/.f64 y (cosh.f64 x)) y))
(/.f64 (cosh.f64 x) (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (neg.f64 y)))
(/.f64 (cosh.f64 x) (*.f64 (/.f64 y (sin.f64 y)) y))
(neg.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x))))
(fma.f64 (*.f64 (neg.f64 (cosh.f64 x)) (pow.f64 y #s(literal -2 binary64))) #s(literal 0 binary64) (*.f64 (/.f64 (cosh.f64 x) y) (/.f64 (sin.f64 y) y)))
(fma.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (cosh.f64 x)) (pow.f64 y #s(literal -2 binary64))) (*.f64 (/.f64 (cosh.f64 x) y) (/.f64 (sin.f64 y) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) y)) (*.f64 (pow.f64 y #s(literal -2 binary64)) (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (pow.f64 y #s(literal -2 binary64)) (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x))))
(-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 y #s(literal -2 binary64)) (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y (cosh.f64 x)) (/.f64 y (sin.f64 y)))) #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (cosh.f64 x)) (pow.f64 y #s(literal -2 binary64)))) (*.f64 (/.f64 (cosh.f64 x) y) (/.f64 (sin.f64 y) y)))
(+.f64 (*.f64 (*.f64 (neg.f64 (cosh.f64 x)) (pow.f64 y #s(literal -2 binary64))) #s(literal 0 binary64)) (*.f64 (/.f64 (cosh.f64 x) y) (/.f64 (sin.f64 y) y)))
(+.f64 #s(literal 0 binary64) (*.f64 (/.f64 (cosh.f64 x) y) (/.f64 (sin.f64 y) y)))

eval252.0ms (2.8%)

Memory
3.4MiB live, 517.4MiB allocated
Compiler

Compiled 28 585 to 3 136 computations (89% saved)

prune59.0ms (0.7%)

Memory
-22.3MiB live, 215.2MiB allocated
Pruning

24 alts after pruning (22 fresh and 2 done)

PrunedKeptTotal
New1 481201 501
Fresh628
Picked325
Done000
Total1 490241 514
Accuracy
100.0%
Counts
1 514 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)
76.4%
(/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y (sin.f64 y)))
51.7%
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y)))
41.5%
(*.f64 (/.f64 #s(approx (* (neg (sin y)) (cosh x)) (neg.f64 (sin.f64 y))) (neg.f64 (*.f64 y y))) y)
76.3%
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (/.f64 #s(literal -1 binary64) y))
82.2%
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (sin.f64 y))
62.8%
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
66.4%
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
92.9%
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
60.0%
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
63.4%
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
59.5%
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
61.7%
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
86.6%
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
56.5%
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
59.3%
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (sin.f64 y) (neg.f64 y))))
50.7%
(*.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 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
53.8%
(*.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 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
50.6%
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
48.6%
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
92.5%
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
28.3%
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 (sin.f64 y) y))
29.6%
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
51.7%
#s(approx (/ (cosh x) (/ y (sin y))) (/.f64 (sin.f64 y) y))
Compiler

Compiled 733 to 536 computations (26.9% saved)

simplify60.0ms (0.7%)

Memory
7.6MiB live, 88.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
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))) y)
cost-diff0
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (sin.f64 y))
cost-diff0
(sin.f64 y)
cost-diff0
(/.f64 (sin.f64 y) y)
cost-diff0
#s(approx (/ (cosh x) (/ y (sin y))) (/.f64 (sin.f64 y) y))
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
cost-diff0
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
cost-diff0
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
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
(cosh.f64 x)
cost-diff0
(sin.f64 y)
cost-diff0
(*.f64 (sin.f64 y) (cosh.f64 x))
cost-diff0
(/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)
Rules
1 134×lower-fma.f32
1 126×lower-fma.f64
814×lower-*.f32
804×lower-*.f64
544×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030200
050200
183200
2126200
3246200
4499200
5715200
6825200
71101200
81721200
91849200
101928200
112053200
122251200
132253200
142253200
02253200
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)
(*.f64 (sin.f64 y) (cosh.f64 x))
(sin.f64 y)
y
(cosh.f64 x)
x
(*.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 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
#s(literal 1/720 binary64)
(*.f64 x x)
x
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (/ (sin y) y) #s(literal 1 binary64))
#s(approx (/ (cosh x) (/ y (sin y))) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) y)
(sin.f64 y)
y
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (sin.f64 y))
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) 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)
y
(sin.f64 y)
Outputs
(/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(*.f64 (sin.f64 y) (cosh.f64 x))
(*.f64 (cosh.f64 x) (sin.f64 y))
(sin.f64 y)
y
(cosh.f64 x)
x
(*.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(literal 1 binary64)
#s(approx (/ (sin y) y) #s(literal 1 binary64))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
#s(literal 1/720 binary64)
(*.f64 x x)
x
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (/ (sin y) y) #s(literal 1 binary64))
#s(approx (/ (cosh x) (/ y (sin y))) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) y)
(sin.f64 y)
y
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (sin.f64 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 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) 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)
y
(sin.f64 y)

localize118.0ms (1.3%)

Memory
19.7MiB live, 97.6MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0
(sin.f64 y)
accuracy0.00390625
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y)
accuracy0.109375
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (sin.f64 y))
accuracy14.918901434791072
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
accuracy0
(sin.f64 y)
accuracy0.12109375
(/.f64 (sin.f64 y) y)
accuracy30.865832018015222
#s(approx (/ (cosh x) (/ y (sin y))) (/.f64 (sin.f64 y) y))
accuracy0.0390625
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
accuracy0.3006302899899046
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
accuracy4.420126755687974
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
accuracy29.850612302828967
#s(approx (/ (sin y) y) #s(literal 1 binary64))
accuracy0.0078125
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
accuracy29.850612302828967
#s(approx (/ (sin y) y) #s(literal 1 binary64))
accuracy30.727366110147898
#s(approx (cosh x) #s(literal 1 binary64))
accuracy0
(sin.f64 y)
accuracy0
(cosh.f64 x)
accuracy0.00390625
(*.f64 (sin.f64 y) (cosh.f64 x))
accuracy0.0546875
(/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)
Samples
101.0ms256×0valid
Compiler

Compiled 137 to 27 computations (80.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 64.0ms
ival-add: 31.0ms (48.7% of total)
ival-mult: 11.0ms (17.3% of total)
ival-div: 7.0ms (11% of total)
ival-sin: 6.0ms (9.4% of total)
const: 6.0ms (9.4% of total)
ival-cosh: 2.0ms (3.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series32.0ms (0.4%)

Memory
-37.8MiB live, 55.8MiB allocated
Counts
18 → 300
Calls
Call 1
Inputs
#s(alt (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y) (patch (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y) #<representation binary64>) () ())
#s(alt (*.f64 (sin.f64 y) (cosh.f64 x)) (patch (*.f64 (sin.f64 y) (cosh.f64 x)) #<representation binary64>) () ())
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())
#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<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 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (cosh x) (/ y (sin y))) (/.f64 (sin.f64 y) y)) (patch #s(approx (/ (cosh x) (/ y (sin y))) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (sin.f64 y)) (patch (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (sin.f64 y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (patch (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) 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 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor 0 y) (#s(alt (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y) (patch (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) 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 (*.f64 (sin.f64 y) (cosh.f64 x)) y) (patch (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) 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 (*.f64 (sin.f64 y) (cosh.f64 x)) y) (patch (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) 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 (*.f64 (sin.f64 y) (cosh.f64 x)) y) (patch (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) (taylor 0 y) (#s(alt (*.f64 (sin.f64 y) (cosh.f64 x)) (patch (*.f64 (sin.f64 y) (cosh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))) (taylor 0 y) (#s(alt (*.f64 (sin.f64 y) (cosh.f64 x)) (patch (*.f64 (sin.f64 y) (cosh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 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))))))))) (taylor 0 y) (#s(alt (*.f64 (sin.f64 y) (cosh.f64 x)) (patch (*.f64 (sin.f64 y) (cosh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 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)))))))))) (taylor 0 y) (#s(alt (*.f64 (sin.f64 y) (cosh.f64 x)) (patch (*.f64 (sin.f64 y) (cosh.f64 x)) #<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 (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor 0 y) (#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 (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) (taylor 0 y) (#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 (+ (* 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 #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 (+ (* 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 #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 1 (taylor 0 y) (#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 (+ 1 (* -1/6 (pow y 2))) (taylor 0 y) (#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 (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) (taylor 0 y) (#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 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (taylor 0 y) (#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 (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor 0 y) (#s(alt (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<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 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<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 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<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 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor 0 y) (#s(alt #s(approx (/ (cosh x) (/ y (sin y))) (/.f64 (sin.f64 y) y)) (patch #s(approx (/ (cosh x) (/ y (sin y))) (/.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 #s(approx (/ (cosh x) (/ y (sin y))) (/.f64 (sin.f64 y) y)) (patch #s(approx (/ (cosh x) (/ y (sin y))) (/.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 #s(approx (/ (cosh x) (/ y (sin y))) (/.f64 (sin.f64 y) y)) (patch #s(approx (/ (cosh x) (/ y (sin y))) (/.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 #s(approx (/ (cosh x) (/ y (sin y))) (/.f64 (sin.f64 y) y)) (patch #s(approx (/ (cosh x) (/ y (sin y))) (/.f64 (sin.f64 y) y)) #<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 (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (sin.f64 y)) (patch (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) 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 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (sin.f64 y)) (patch (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) 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 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (sin.f64 y)) (patch (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) 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 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (sin.f64 y)) (patch (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) (taylor 0 y) (#s(alt (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (patch (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) (taylor 0 y) (#s(alt (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (patch (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) (taylor 0 y) (#s(alt (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (patch (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) (taylor 0 y) (#s(alt (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (patch (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor inf y) (#s(alt (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y) (patch (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor inf y) (#s(alt (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y) (patch (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor inf y) (#s(alt (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y) (patch (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor inf y) (#s(alt (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y) (patch (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) (taylor inf y) (#s(alt (*.f64 (sin.f64 y) (cosh.f64 x)) (patch (*.f64 (sin.f64 y) (cosh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) (taylor inf y) (#s(alt (*.f64 (sin.f64 y) (cosh.f64 x)) (patch (*.f64 (sin.f64 y) (cosh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) (taylor inf y) (#s(alt (*.f64 (sin.f64 y) (cosh.f64 x)) (patch (*.f64 (sin.f64 y) (cosh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) (taylor inf y) (#s(alt (*.f64 (sin.f64 y) (cosh.f64 x)) (patch (*.f64 (sin.f64 y) (cosh.f64 x)) #<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>) () ())) ())
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#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) (taylor -inf x) (#s(alt (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (patch (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) (taylor -inf x) (#s(alt (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (patch (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#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 (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#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 (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#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 (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#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 (* 1/2 (pow x 2)) (taylor -inf x) (#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 (* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) (taylor -inf x) (#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 (* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) (taylor -inf x) (#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 (* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) (taylor -inf x) (#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 (* 1/720 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #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 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #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 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #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 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
7.0ms
y
@inf
((/ (* (sin y) (cosh x)) y) (* (sin y) (cosh x)) (sin y) (cosh x) (* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (/ (cosh x) (/ y (sin y))) (/ (sin y) y) (* (/ (cosh x) y) (sin y)) (/ (cosh x) y) (cosh x) (+ (* 1/2 (* x x)) 1) (+ (* 1/720 (* x x)) 1/24))
2.0ms
x
@-inf
((/ (* (sin y) (cosh x)) y) (* (sin y) (cosh x)) (sin y) (cosh x) (* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (/ (cosh x) (/ y (sin y))) (/ (sin y) y) (* (/ (cosh x) y) (sin y)) (/ (cosh x) y) (cosh x) (+ (* 1/2 (* x x)) 1) (+ (* 1/720 (* x x)) 1/24))
2.0ms
x
@inf
((/ (* (sin y) (cosh x)) y) (* (sin y) (cosh x)) (sin y) (cosh x) (* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (/ (cosh x) (/ y (sin y))) (/ (sin y) y) (* (/ (cosh x) y) (sin y)) (/ (cosh x) y) (cosh x) (+ (* 1/2 (* x x)) 1) (+ (* 1/720 (* x x)) 1/24))
2.0ms
y
@-inf
((/ (* (sin y) (cosh x)) y) (* (sin y) (cosh x)) (sin y) (cosh x) (* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (/ (cosh x) (/ y (sin y))) (/ (sin y) y) (* (/ (cosh x) y) (sin y)) (/ (cosh x) y) (cosh x) (+ (* 1/2 (* x x)) 1) (+ (* 1/720 (* x x)) 1/24))
1.0ms
y
@0
((/ (* (sin y) (cosh x)) y) (* (sin y) (cosh x)) (sin y) (cosh x) (* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (/ (cosh x) (/ y (sin y))) (/ (sin y) y) (* (/ (cosh x) y) (sin y)) (/ (cosh x) y) (cosh x) (+ (* 1/2 (* x x)) 1) (+ (* 1/720 (* x x)) 1/24))

simplify189.0ms (2.1%)

Memory
28.5MiB live, 221.6MiB allocated
Algorithm
egg-herbie
Rules
16 186×lower-fma.f64
16 186×lower-fma.f32
4 908×lower-*.f64
4 908×lower-*.f32
2 344×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01453648
14813497
215923381
351693267
471393265
578513265
080653094
Stop Event
iter limit
node limit
Counts
300 → 299
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 (* 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))))))))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
1
(+ 1 (* -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)))
(* 1/2 (+ (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 (+ (exp x) (/ 1 (exp x))))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
1
(+ 1 (* -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)))
(* 1/2 (+ (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 (/ (+ (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 (/ (* (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)))))
(* 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)
(sin y)
(sin y)
(sin 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))
(/ (sin y) y)
(/ (sin y) y)
(/ (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))
(/ (sin y) y)
(/ (sin y) y)
(/ (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 (/ (+ (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 (/ (* (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)))))
(* 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)
(sin y)
(sin y)
(sin 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))
(/ (sin y) y)
(/ (sin y) y)
(/ (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))
(/ (sin y) y)
(/ (sin y) y)
(/ (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 (/ (+ (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))
(/ (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))
(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
(+ 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)))))))
(/ (sin y) y)
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(/ (sin y) y)
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (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))
(/ (sin y) y)
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))
(/ 1 y)
(+ (* 1/2 (/ (pow x 2) y)) (/ 1 y))
(+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) y)) (* 1/2 (/ 1 y)))) (/ 1 y))
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) y)) (* 1/24 (/ 1 y)))) (* 1/2 (/ 1 y)))) (/ 1 y))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* 1/2 (pow x 2)))
1/24
(+ 1/24 (* 1/720 (pow x 2)))
(+ 1/24 (* 1/720 (pow x 2)))
(+ 1/24 (* 1/720 (pow x 2)))
(* 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)))))
(* 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 (+ (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 (/ (* (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))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (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 (+ (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))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/720 (pow x 4))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 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))) 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))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 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))))
(* 1/720 (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 (/ (* (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)))))
(* 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 (+ (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 (/ (* (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))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (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 (+ (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))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/720 (pow x 4))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 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))) 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))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 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))))
(* 1/720 (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)))))
Outputs
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/240 binary64) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 y y) #s(literal 1/240 binary64)) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
(* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* y (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))))
(*.f64 (*.f64 y (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(* y (+ (* 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 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/240 binary64) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) y)
(* 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))))))))))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 y y) #s(literal 1/240 binary64)) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) y)
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) y)
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/240 binary64) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 y y) #s(literal 1/240 binary64)) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow y 2)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/240 binary64) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 y y) #s(literal 1/240 binary64)) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/240 binary64) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 y y) #s(literal 1/240 binary64)) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow y 2)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/240 binary64) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 y y) #s(literal 1/240 binary64)) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(/ (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 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
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(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
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(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
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(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
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(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
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(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
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(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
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(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))

rewrite240.0ms (2.7%)

Memory
-3.3MiB live, 309.8MiB allocated
Rules
8 492×lower-fma.f32
8 484×lower-fma.f64
6 054×lower-*.f32
6 044×lower-*.f64
3 994×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030171
050171
1161171
2921171
08422171
Stop Event
iter limit
node limit
iter limit
Counts
18 → 579
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)
(*.f64 (sin.f64 y) (cosh.f64 x))
(sin.f64 y)
(cosh.f64 x)
(*.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 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
#s(approx (/ (cosh x) (/ y (sin y))) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (sin.f64 y))
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) 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))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
Outputs
(*.f64 (*.f64 (/.f64 (neg.f64 (cosh.f64 x)) y) #s(literal -1 binary64)) (sin.f64 y))
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cosh.f64 x)) y)) (neg.f64 (sin.f64 y)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (cosh.f64 x))) (/.f64 (neg.f64 (sin.f64 y)) y))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x))) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 (/.f64 (/.f64 y (cosh.f64 x)) (sin.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 y (cosh.f64 x)) (sin.f64 y)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) (/.f64 y (sin.f64 y))) (/.f64 (cosh.f64 x) #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (/.f64 #s(literal 1/2 binary64) (neg.f64 y)))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (pow.f64 (sin.f64 y) #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (neg.f64 y)) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y))))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64))))
(*.f64 (/.f64 (cosh.f64 x) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (cosh.f64 x) (pow.f64 (sin.f64 y) #s(literal -1 binary64))) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 (cosh.f64 x) #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 y)) y))
(*.f64 (/.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 (cosh.f64 x)) y))
(*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (cosh.f64 x)) (sin.f64 y))
(*.f64 (pow.f64 (/.f64 (/.f64 y (sin.f64 y)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 (/.f64 (neg.f64 (cosh.f64 x)) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y))))
(*.f64 (/.f64 (neg.f64 (cosh.f64 x)) y) (neg.f64 (sin.f64 y)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 (sin.f64 y) y)) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (cosh.f64 x) (/.f64 #s(literal -1 binary64) (sin.f64 y))))
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (neg.f64 (sin.f64 y))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) y)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (sin.f64 y)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y)))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (cosh.f64 x)) (/.f64 (sin.f64 y) y)))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (cosh.f64 x) (pow.f64 (sin.f64 y) #s(literal -1 binary64))))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (cosh.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y)))
(*.f64 (neg.f64 (cosh.f64 x)) (/.f64 (neg.f64 (sin.f64 y)) y))
(*.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (neg.f64 (sin.f64 y)) (*.f64 (/.f64 #s(literal -1 binary64) y) (cosh.f64 x)))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 (cosh.f64 x)) y))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 y) y)))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)))
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(*.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (sin.f64 y) (*.f64 (pow.f64 y #s(literal -1 binary64)) (cosh.f64 x)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(pow.f64 (/.f64 (/.f64 y (cosh.f64 x)) (sin.f64 y)) #s(literal -1 binary64))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (/.f64 (neg.f64 (sin.f64 y)) y)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (/.f64 (sin.f64 y) y)) #s(literal -2 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 (sin.f64 y) #s(literal 2 binary64)) (cosh.f64 x)) (pow.f64 y #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 (sin.f64 y) #s(literal 2 binary64)) (cosh.f64 x))) #s(literal 2 binary64))
(/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (sin.f64 y))) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 (cosh.f64 x)) #s(literal 1 binary64)) (/.f64 (neg.f64 y) (sin.f64 y)))
(/.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) #s(literal 1 binary64)) (neg.f64 y))
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 (sin.f64 y) y))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (neg.f64 (sin.f64 y)))) (*.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (cosh.f64 x))) (/.f64 (neg.f64 y) (sin.f64 y)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x))) (neg.f64 y))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 (neg.f64 (sin.f64 y)) y)) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 (sin.f64 y) y))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (neg.f64 (sin.f64 y)))) (neg.f64 (*.f64 #s(literal -2 binary64) y)))
(/.f64 (*.f64 (cosh.f64 x) #s(literal -1 binary64)) (/.f64 (neg.f64 y) (sin.f64 y)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (sin.f64 y) #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 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sin.f64 y) #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 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (sin.f64 y))) (*.f64 #s(literal 2 binary64) y))
(/.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 (pow.f64 y #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) (*.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) #s(literal -2 binary64)))
(/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (sin.f64 y) #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 (neg.f64 (sin.f64 y)) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (pow.f64 (cosh.f64 x) #s(literal -1 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 #s(literal 2 binary64) (/.f64 y (sin.f64 y))))
(/.f64 (*.f64 (sin.f64 y) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) (*.f64 y #s(literal -2 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (pow.f64 y #s(literal -1 binary64))) (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64))))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (neg.f64 (sin.f64 y))) (*.f64 #s(literal -2 binary64) (neg.f64 y)))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (sin.f64 y)) (*.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (pow.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))) (*.f64 (pow.f64 (cosh.f64 x) #s(literal -1 binary64)) (neg.f64 y)))
(/.f64 (*.f64 (*.f64 (*.f64 (sin.f64 y) #s(literal 2 binary64)) (cosh.f64 x)) #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 (*.f64 (*.f64 (sin.f64 y) #s(literal 2 binary64)) (cosh.f64 x)) #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) 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 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 (neg.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 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (neg.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 (neg.f64 y) (sin.f64 y))))
(/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (cosh.f64 x)) (pow.f64 (sin.f64 y) #s(literal -1 binary64)))
(/.f64 (/.f64 (neg.f64 (cosh.f64 x)) y) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 (sin.f64 y) y)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (sin.f64 y) #s(literal 2 binary64)) (cosh.f64 x)) (*.f64 y #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 y (sin.f64 y)))))
(/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (*.f64 (/.f64 (neg.f64 y) (sin.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 (*.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)) (sin.f64 y)) (*.f64 #s(literal 2 binary64) y))
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (cosh.f64 x) #s(literal -1 binary64)) (/.f64 (neg.f64 y) (sin.f64 y))))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (cosh.f64 x)) (neg.f64 (sin.f64 y))))
(/.f64 (/.f64 (cosh.f64 x) y) (pow.f64 (sin.f64 y) #s(literal -1 binary64)))
(/.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (pow.f64 (cosh.f64 x) #s(literal -1 binary64)) (pow.f64 (sin.f64 y) #s(literal -1 binary64))))
(/.f64 (neg.f64 (cosh.f64 x)) (/.f64 (neg.f64 y) (sin.f64 y)))
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 y))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal -2 binary64) (/.f64 (neg.f64 y) (sin.f64 y))))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (/.f64 y (sin.f64 y))))
(/.f64 (/.f64 (sin.f64 y) y) (pow.f64 (cosh.f64 x) #s(literal -1 binary64)))
(/.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) #s(literal 1 binary64))
(/.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 #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 (*.f64 #s(literal 2 binary64) y) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (cosh.f64 x) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (cosh.f64 x)) (sin.f64 y)))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) y)
(/.f64 (sin.f64 y) (*.f64 (pow.f64 (cosh.f64 x) #s(literal -1 binary64)) y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (cosh.f64 x)) (sin.f64 y))))
(neg.f64 (*.f64 (/.f64 (neg.f64 (cosh.f64 x)) y) (sin.f64 y)))
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cosh.f64 x)) (/.f64 (sin.f64 y) y))))
(neg.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (cosh.f64 x)))
(neg.f64 (*.f64 (neg.f64 (cosh.f64 x)) (/.f64 (sin.f64 y) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) (sin.f64 y))) (*.f64 (neg.f64 (cosh.f64 x)) (/.f64 (sin.f64 y) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (neg.f64 (cosh.f64 x)) (/.f64 (sin.f64 y) y)))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (cosh.f64 x)) (/.f64 (sin.f64 y) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 y (cosh.f64 x)) (sin.f64 y))) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (sin.f64 y) #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(literal -1 binary64) (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)))
(*.f64 (neg.f64 (cosh.f64 x)) (neg.f64 (sin.f64 y)))
(*.f64 (neg.f64 (sin.f64 y)) (neg.f64 (cosh.f64 x)))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 1/2 binary64) (sin.f64 y)))
(*.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 x) (sin.f64 y)))
(*.f64 (cosh.f64 x) (sin.f64 y))
(*.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) #s(literal 1 binary64))
(*.f64 (sin.f64 y) (cosh.f64 x))
(/.f64 (neg.f64 (*.f64 (*.f64 (sin.f64 y) #s(literal 2 binary64)) (cosh.f64 x))) #s(literal -2 binary64))
(/.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 (*.f64 (*.f64 (*.f64 (sin.f64 y) #s(literal 2 binary64)) (cosh.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (sin.f64 y)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (sin.f64 y) #s(literal 2 binary64)) (cosh.f64 x)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (neg.f64 (sin.f64 y))) #s(literal -2 binary64))
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(*.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))
(*.f64 (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))))
(*.f64 (neg.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 #s(literal 1/17280 binary64) (*.f64 x x)))))))
(*.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/576 binary64) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/17280 binary64))))))
(*.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (pow.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 #s(literal 1/17280 binary64) (*.f64 x x)))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 4 binary64)) #s(literal 1/331776 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/139314069504000000 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/191102976 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 4 binary64)) #s(literal 1/331776 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/298598400 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/139314069504000000 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/191102976 binary64)) (pow.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 #s(literal 1/17280 binary64) (*.f64 x x)))) #s(literal -1 binary64))) (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/13824 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/51998697814228992000000000 binary64) (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 1/2641807540224 binary64)) (pow.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 #s(literal 1/17280 binary64) (*.f64 x x)))) #s(literal -1 binary64))) (fma.f64 #s(literal 1/139314069504000000 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 1/191102976 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5159780352000 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (/.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))) (*.f64 (/.f64 #s(literal -1/576 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (/.f64 #s(literal -1/576 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (/.f64 #s(literal -1/576 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/576 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (/.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (fma.f64 (/.f64 #s(literal -1/576 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (/.f64 #s(literal -1/576 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (/.f64 #s(literal -1/576 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64)))) (neg.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 #s(literal 1/17280 binary64) (*.f64 x x)))))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 #s(literal 1/17280 binary64) (*.f64 x x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 4 binary64)) #s(literal 1/331776 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/139314069504000000 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/191102976 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 4 binary64)) #s(literal 1/331776 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/298598400 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/139314069504000000 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/191102976 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/13824 binary64)) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 #s(literal 1/17280 binary64) (*.f64 x x))))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/51998697814228992000000000 binary64) (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 1/2641807540224 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/139314069504000000 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 1/191102976 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5159780352000 binary64)))) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 #s(literal 1/17280 binary64) (*.f64 x x))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/576 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))))
(/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64))) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64))) (neg.f64 (+.f64 #s(literal 1/576 binary64) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/17280 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64))) (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 #s(literal 1/17280 binary64) (*.f64 x x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))))
(/.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))
(/.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (+.f64 #s(literal 1/576 binary64) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/17280 binary64)))))
(/.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 #s(literal 1/17280 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (-.f64 #s(literal 1/576 binary64) (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/576 binary64) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/17280 binary64)))) (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64))) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 #s(literal 1/17280 binary64) (*.f64 x x))))))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 #s(literal 1/17280 binary64) (*.f64 x x)))))))
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64))
(fma.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -1/576 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)))))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(fma.f64 x (*.f64 #s(literal 1/720 binary64) x) #s(literal 1/24 binary64))
(-.f64 (/.f64 #s(literal 1/576 binary64) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) (/.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))
(-.f64 (/.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (/.f64 #s(literal -1/576 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))))
(+.f64 (/.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (neg.f64 (/.f64 #s(literal -1/576 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)))))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))

eval206.0ms (2.3%)

Memory
28.0MiB live, 345.1MiB allocated
Compiler

Compiled 19 019 to 2 446 computations (87.1% saved)

prune57.0ms (0.6%)

Memory
-6.4MiB live, 188.6MiB allocated
Pruning

31 alts after pruning (26 fresh and 5 done)

PrunedKeptTotal
New91615931
Fresh61117
Picked235
Done022
Total92431955
Accuracy
100.0%
Counts
955 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)
86.6%
(/.f64 (*.f64 (sin.f64 y) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) y)
81.5%
(/.f64 (sin.f64 y) (/.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))
51.7%
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y)))
41.5%
(*.f64 (/.f64 #s(approx (* (neg (sin y)) (cosh x)) (neg.f64 (sin.f64 y))) (neg.f64 (*.f64 y y))) y)
82.2%
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (sin.f64 y))
34.2%
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) y) (sin.f64 y))
51.6%
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64))) y) (sin.f64 y))
62.8%
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
66.4%
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
61.7%
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
92.9%
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
60.0%
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
63.4%
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
59.5%
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
61.7%
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
56.5%
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
61.7%
(*.f64 #s(approx (cosh x) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
59.3%
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (sin.f64 y) (neg.f64 y))))
50.7%
(*.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 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
50.6%
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
48.6%
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
92.5%
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
61.7%
(*.f64 #s(approx (cosh x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
35.6%
(*.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
51.6%
#s(approx (/ (cosh x) (/ y (sin y))) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (sin.f64 y))))
51.7%
#s(approx (/ (cosh x) (/ y (sin y))) (/.f64 (sin.f64 y) y))
38.1%
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
39.0%
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
35.5%
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
29.6%
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
Compiler

Compiled 921 to 669 computations (27.4% saved)

simplify99.0ms (1.1%)

Memory
-28.7MiB live, 92.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 y)
cost-diff0
(/.f64 y (sin.f64 y))
cost-diff0
#s(approx (cosh x) #s(literal 1 binary64))
cost-diff384
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y)))
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
cost-diff0
#s(approx (cosh x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
cost-diff0
(*.f64 #s(approx (cosh x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
cost-diff0
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))
cost-diff0
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
cost-diff0
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
cost-diff0
#s(approx (/ (sin y) y) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
cost-diff0
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x))
cost-diff0
(fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))
cost-diff0
#s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
Rules
2 538×lower-fma.f32
2 522×lower-fma.f64
1 432×lower-*.f32
1 420×lower-*.f64
706×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047427
078411
1133411
2216411
3500411
41077411
51680411
61729411
71968411
82295411
92571411
102709411
112784411
122926411
133267411
143325411
153332411
163332411
03332411
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
#s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)
(*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
#s(literal 1/720 binary64)
(*.f64 x x)
x
#s(literal 1/24 binary64)
#s(literal 1 binary64)
(/.f64 (sin.f64 y) y)
(sin.f64 y)
y
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (/ (sin y) y) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
(*.f64 y y)
y
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
#s(literal 1 binary64)
(*.f64 #s(approx (cosh x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (cosh x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(*.f64 x x)
x
#s(literal 1/720 binary64)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (sin y) y) #s(literal 1 binary64))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y)))
#s(approx (cosh x) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 y (sin.f64 y))
y
(sin.f64 y)
Outputs
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (sin.f64 y) y) #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)
(*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x)
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
#s(literal 1/720 binary64)
(*.f64 x x)
x
#s(literal 1/24 binary64)
#s(literal 1 binary64)
(/.f64 (sin.f64 y) y)
(sin.f64 y)
y
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (/ (sin y) y) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
(*.f64 y y)
y
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
#s(literal 1 binary64)
(*.f64 #s(approx (cosh x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (cosh x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
#s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(*.f64 x x)
x
#s(literal 1/720 binary64)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (sin y) y) #s(literal 1 binary64))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) (sin.f64 y))
#s(approx (cosh x) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 y (sin.f64 y))
y
(sin.f64 y)

localize122.0ms (1.4%)

Memory
21.5MiB live, 270.1MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0
(sin.f64 y)
accuracy0.0625
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y)))
accuracy0.07421875
(/.f64 y (sin.f64 y))
accuracy30.727366110147898
#s(approx (cosh x) #s(literal 1 binary64))
accuracy0.20025217297775588
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
accuracy0.3006302899899046
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
accuracy4.420126755687974
#s(approx (cosh x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
accuracy29.850612302828967
#s(approx (/ (sin y) y) #s(literal 1 binary64))
accuracy0.046875
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))
accuracy0.5042694584051943
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
accuracy30.190507120439975
#s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
accuracy30.865832018015222
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
accuracy29.850612302828967
#s(approx (/ (sin y) y) #s(literal 1 binary64))
accuracy30.865832018015222
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
accuracy0.19140625
(*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)
accuracy0.3006302899899046
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
accuracy4.420126755687974
#s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)))
accuracy31.418649671607543
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x))
Samples
94.0ms256×0valid
Compiler

Compiled 275 to 41 computations (85.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-mult: 21.0ms (33.9% of total)
const: 15.0ms (24.2% of total)
ival-add: 9.0ms (14.5% of total)
ival-div: 7.0ms (11.3% of total)
ival-sin: 6.0ms (9.7% of total)
ival-cosh: 3.0ms (4.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series31.0ms (0.3%)

Memory
-15.2MiB live, 63.8MiB allocated
Counts
22 → 324
Calls
Call 1
Inputs
#s(alt (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (patch (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())
#s(alt #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (patch #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) #<representation binary64>) () ())
#s(alt #s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch #s(approx (/ (cosh x) (/ y (sin y))) #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 #s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch #s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (cosh x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (*.f64 #s(approx (cosh x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (cosh x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (patch #s(approx (cosh x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y))) (patch (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y))) #<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 (/.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 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) (patch (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (patch (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #<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>) () ())
Outputs
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor 0 y) (#s(alt (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (patch (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) (/.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 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (patch (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) (/.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 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (patch (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) (/.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 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (patch (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor 0 y) (#s(alt #s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch #s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<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 #s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch #s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<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 #s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch #s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<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 #s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch #s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#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 (+ 1 (* -1/6 (pow y 2))) (taylor 0 y) (#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 (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) (taylor 0 y) (#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 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (taylor 0 y) (#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 (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor 0 y) (#s(alt #s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch #s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (patch #s(approx (cosh x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (patch #s(approx (cosh x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (patch #s(approx (cosh x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 720 (pow x 6)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y))) (patch (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.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 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y))) (patch (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.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 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y))) (patch (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.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 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y))) (patch (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) #s(literal 1 binary64)) (patch #s(approx (cosh x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) #s(literal 1 binary64)) (patch #s(approx (cosh x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) #s(literal 1 binary64)) (patch #s(approx (cosh x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) #s(literal 1 binary64)) (patch #s(approx (cosh x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/720 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #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 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #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 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #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 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/720 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) (patch (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) (patch (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) (patch (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) (patch (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) #<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>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
7.0ms
y
@inf
((* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (/ (cosh x) (/ y (sin y))) (/ (sin y) y) (/ (cosh x) (/ y (sin y))) (/ (sin y) y) (+ (* (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) (* y y)) 1) (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) (/ 1 (/ 1 (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1))) (* (cosh x) (/ (sin y) y)) (cosh x) (/ 1 (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1)) (/ (cosh x) (/ y (sin y))) (cosh x) (/ y (sin y)) (sin y) (+ (* 1/720 (* x x)) 1/24) (* (+ (* 1/720 (* x x)) 1/24) x) (+ (* -1/5040 (* y y)) 1/120) (+ (* (* x x) 1/720) 1/24))
2.0ms
y
@-inf
((* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (/ (cosh x) (/ y (sin y))) (/ (sin y) y) (/ (cosh x) (/ y (sin y))) (/ (sin y) y) (+ (* (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) (* y y)) 1) (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) (/ 1 (/ 1 (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1))) (* (cosh x) (/ (sin y) y)) (cosh x) (/ 1 (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1)) (/ (cosh x) (/ y (sin y))) (cosh x) (/ y (sin y)) (sin y) (+ (* 1/720 (* x x)) 1/24) (* (+ (* 1/720 (* x x)) 1/24) x) (+ (* -1/5040 (* y y)) 1/120) (+ (* (* x x) 1/720) 1/24))
2.0ms
x
@inf
((* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (/ (cosh x) (/ y (sin y))) (/ (sin y) y) (/ (cosh x) (/ y (sin y))) (/ (sin y) y) (+ (* (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) (* y y)) 1) (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) (/ 1 (/ 1 (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1))) (* (cosh x) (/ (sin y) y)) (cosh x) (/ 1 (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1)) (/ (cosh x) (/ y (sin y))) (cosh x) (/ y (sin y)) (sin y) (+ (* 1/720 (* x x)) 1/24) (* (+ (* 1/720 (* x x)) 1/24) x) (+ (* -1/5040 (* y y)) 1/120) (+ (* (* x x) 1/720) 1/24))
2.0ms
x
@-inf
((* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (/ (cosh x) (/ y (sin y))) (/ (sin y) y) (/ (cosh x) (/ y (sin y))) (/ (sin y) y) (+ (* (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) (* y y)) 1) (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) (/ 1 (/ 1 (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1))) (* (cosh x) (/ (sin y) y)) (cosh x) (/ 1 (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1)) (/ (cosh x) (/ y (sin y))) (cosh x) (/ y (sin y)) (sin y) (+ (* 1/720 (* x x)) 1/24) (* (+ (* 1/720 (* x x)) 1/24) x) (+ (* -1/5040 (* y y)) 1/120) (+ (* (* x x) 1/720) 1/24))
1.0ms
x
@0
((* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (/ (cosh x) (/ y (sin y))) (/ (sin y) y) (/ (cosh x) (/ y (sin y))) (/ (sin y) y) (+ (* (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) (* y y)) 1) (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) (/ 1 (/ 1 (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1))) (* (cosh x) (/ (sin y) y)) (cosh x) (/ 1 (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1)) (/ (cosh x) (/ y (sin y))) (cosh x) (/ y (sin y)) (sin y) (+ (* 1/720 (* x x)) 1/24) (* (+ (* 1/720 (* x x)) 1/24) x) (+ (* -1/5040 (* y y)) 1/120) (+ (* (* x x) 1/720) 1/24))

simplify213.0ms (2.4%)

Memory
-0.5MiB live, 276.6MiB allocated
Algorithm
egg-herbie
Rules
13 894×lower-fma.f64
13 894×lower-fma.f32
4 828×lower-*.f64
4 828×lower-*.f32
2 898×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01773766
15263646
215863524
347423421
471543421
081003227
Stop Event
iter limit
node limit
Counts
324 → 323
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 (+ (exp x) (/ 1 (exp x))))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
1
(+ 1 (* -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)))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
1
(+ 1 (* -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 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
-1/6
(- (* 1/120 (pow y 2)) 1/6)
(- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)
(- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)
(* 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 (+ (exp x) (/ 1 (exp x))))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
1
(+ 1 (* 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
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
1/120
(+ 1/120 (* -1/5040 (pow y 2)))
(+ 1/120 (* -1/5040 (pow y 2)))
(+ 1/120 (* -1/5040 (pow y 2)))
(* 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))
(/ (sin y) y)
(/ (sin y) y)
(/ (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))
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(* -1/5040 (pow y 6))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* (pow y 6) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* -1/5040 (pow y 4))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* 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))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(sin y)
(sin y)
(sin y)
(sin y)
(* -1/5040 (pow y 2))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* 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))
(/ (sin y) y)
(/ (sin y) y)
(/ (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))
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(* -1/5040 (pow y 6))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* (pow y 6) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* -1/5040 (pow y 4))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* 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))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(sin y)
(sin y)
(sin y)
(sin y)
(* -1/5040 (pow y 2))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(/ (sin y) y)
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (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))
(/ (sin y) y)
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(/ (sin y) y)
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ (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
(+ 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)))))))
1/24
(+ 1/24 (* 1/720 (pow x 2)))
(+ 1/24 (* 1/720 (pow x 2)))
(+ 1/24 (* 1/720 (pow x 2)))
(* 1/24 x)
(* x (+ 1/24 (* 1/720 (pow x 2))))
(* x (+ 1/24 (* 1/720 (pow x 2))))
(* x (+ 1/24 (* 1/720 (pow x 2))))
1/24
(+ 1/24 (* 1/720 (pow x 2)))
(+ 1/24 (* 1/720 (pow x 2)))
(+ 1/24 (* 1/720 (pow x 2)))
(* 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))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/720 (pow x 4))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 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))
(* 1/720 (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))))))
(* 1/2 (/ (* (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))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(/ 720 (pow x 6))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))
(* 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))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 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 3))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 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 (/ (* (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))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/720 (pow x 4))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 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))
(* 1/720 (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))))))
(* 1/2 (/ (* (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))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(/ 720 (pow x 6))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))
(* 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))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 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 3))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 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)))))
Outputs
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/240 binary64) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 y y) #s(literal 1/240 binary64)) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/240 binary64) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 y y) #s(literal 1/240 binary64)) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow y 2)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/240 binary64) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 y y) #s(literal 1/240 binary64)) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow y 2)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow y 2)))
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(* 1/720 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/720 binary64))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)
(* 1/720 (pow x 2))
(*.f64 #s(literal 1/720 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/720 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))
(* 1/720 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/720 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(/ 720 (pow x 6))
(/.f64 #s(literal 720 binary64) (pow.f64 x #s(literal 6 binary64)))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (-.f64 #s(literal 720 binary64) (/.f64 #s(literal 21600 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 388800 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 720 binary64)) (/.f64 #s(literal 21600 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))
(/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 388800 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 720 binary64)) (/.f64 #s(literal 21600 binary64) (*.f64 x x))) (/.f64 #s(literal 4406400 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/720 (pow x 2))
(*.f64 #s(literal 1/720 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(* 1/720 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/720 binary64))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)
(* 1/720 (pow x 2))
(*.f64 #s(literal 1/720 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))

rewrite206.0ms (2.3%)

Memory
-1.2MiB live, 328.5MiB allocated
Rules
5 226×lower-*.f32
5 214×lower-*.f64
4 806×lower-/.f32
4 796×lower-/.f64
3 686×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047351
078335
1285335
21568335
08309335
Stop Event
iter limit
node limit
iter limit
Counts
22 → 525
Calls
Call 1
Inputs
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
#s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (/ (sin y) y) #s(literal 1 binary64))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (cosh x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y)))
#s(approx (cosh x) #s(literal 1 binary64))
(/.f64 y (sin.f64 y))
(sin.f64 y)
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
Outputs
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 y)) y))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) (pow.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64))) (pow.f64 (neg.f64 y) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) (pow.f64 (sin.f64 y) #s(literal -1 binary64))) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64))) (/.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y)))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 (sin.f64 y) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (sin.f64 y) y))
(*.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)))) (pow.f64 (neg.f64 y) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 (sin.f64 y) y))
(*.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (sin.f64 y))) (pow.f64 (neg.f64 y) #s(literal -1 binary64)))
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(/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64))) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/373248000 binary64) #s(literal 1/13824 binary64))) (neg.f64 (+.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/373248000 binary64) #s(literal 1/13824 binary64))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/373248000 binary64) #s(literal 1/13824 binary64)) (+.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/373248000 binary64) #s(literal 1/13824 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (-.f64 #s(literal 1/576 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/373248000 binary64) #s(literal 1/13824 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(fma.f64 x (*.f64 #s(literal 1/720 binary64) x) #s(literal 1/24 binary64))
(-.f64 (/.f64 #s(literal 1/576 binary64) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))

eval119.0ms (1.3%)

Memory
25.8MiB live, 297.0MiB allocated
Compiler

Compiled 24 020 to 2 912 computations (87.9% saved)

prune106.0ms (1.2%)

Memory
-23.6MiB live, 132.8MiB allocated
Pruning

37 alts after pruning (28 fresh and 9 done)

PrunedKeptTotal
New8649873
Fresh21921
Picked145
Done055
Total86737904
Accuracy
100.0%
Counts
904 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)
86.6%
(/.f64 (*.f64 (sin.f64 y) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) y)
81.5%
(/.f64 (sin.f64 y) (/.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))
51.7%
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y)))
30.3%
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
30.2%
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
41.5%
(*.f64 (/.f64 #s(approx (* (neg (sin y)) (cosh x)) (neg.f64 (sin.f64 y))) (neg.f64 (*.f64 y y))) y)
82.2%
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (sin.f64 y))
34.2%
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) y) (sin.f64 y))
51.6%
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64))) y) (sin.f64 y))
62.8%
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
66.4%
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
61.7%
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
92.9%
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
60.0%
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
63.4%
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
59.5%
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
61.7%
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
56.5%
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
61.7%
(*.f64 #s(approx (cosh x) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
59.3%
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (sin.f64 y) (neg.f64 y))))
50.7%
(*.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 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
50.6%
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
48.6%
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
92.5%
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
92.5%
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) x) x)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
86.2%
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
61.7%
(*.f64 #s(approx (cosh x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
35.6%
(*.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
51.6%
#s(approx (/ (cosh x) (/ y (sin y))) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (sin.f64 y))))
51.7%
#s(approx (/ (cosh x) (/ y (sin y))) (/.f64 (sin.f64 y) y))
38.1%
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
37.9%
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
39.0%
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
35.5%
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 #s(approx (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
38.1%
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))))
29.6%
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
Compiler

Compiled 1 455 to 638 computations (56.2% saved)

regimes124.0ms (1.4%)

Memory
5.7MiB live, 174.5MiB allocated
Counts
58 → 1
Calls
Call 1
Inputs
#s(approx (/ (cosh x) (/ y (sin y))) #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)))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 #s(approx (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #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 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #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 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))))
(*.f64 #s(approx (cosh x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (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 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64))) y) (sin.f64 y))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 #s(approx (* (neg (sin y)) (cosh x)) (neg.f64 (sin.f64 y))) (neg.f64 (*.f64 y y))) y)
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) y) (sin.f64 y))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (sin.f64 y))
#s(approx (/ (cosh x) (/ y (sin y))) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (sin.f64 y))))
(/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) y)
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) x) x)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (/.f64 #s(literal -1 binary64) y))
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (*.f64 y y))) y)
(/.f64 (/.f64 (neg.f64 (cosh.f64 x)) y) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (sin.f64 y) (neg.f64 y))))
(*.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))))
Outputs
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
Calls

5 calls:

32.0ms
x
31.0ms
(/.f64 (sin.f64 y) y)
28.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
16.0ms
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 15 to 17 computations (-13.3% saved)

regimes291.0ms (3.2%)

Memory
-13.6MiB live, 143.7MiB allocated
Counts
53 → 1
Calls
Call 1
Inputs
#s(approx (/ (cosh x) (/ y (sin y))) #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)))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 #s(approx (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #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 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #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 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))))
(*.f64 #s(approx (cosh x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (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 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64))) y) (sin.f64 y))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 #s(approx (* (neg (sin y)) (cosh x)) (neg.f64 (sin.f64 y))) (neg.f64 (*.f64 y y))) y)
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) y) (sin.f64 y))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (sin.f64 y))
#s(approx (/ (cosh x) (/ y (sin y))) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (sin.f64 y))))
(/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) y)
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) x) x)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (/.f64 #s(literal -1 binary64) y))
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)
Outputs
(/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)
Calls

5 calls:

78.0ms
(/.f64 (sin.f64 y) y)
76.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
72.0ms
y
50.0ms
x
12.0ms
(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 15 to 17 computations (-13.3% saved)

regimes269.0ms (3%)

Memory
9.1MiB live, 171.5MiB allocated
Counts
52 → 1
Calls
Call 1
Inputs
#s(approx (/ (cosh x) (/ y (sin y))) #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)))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 #s(approx (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #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 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #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 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))))
(*.f64 #s(approx (cosh x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (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 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64))) y) (sin.f64 y))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 #s(approx (* (neg (sin y)) (cosh x)) (neg.f64 (sin.f64 y))) (neg.f64 (*.f64 y y))) y)
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) y) (sin.f64 y))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (sin.f64 y))
#s(approx (/ (cosh x) (/ y (sin y))) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (sin.f64 y))))
(/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) y)
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) x) x)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (/.f64 #s(literal -1 binary64) y))
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
Outputs
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Calls

5 calls:

76.0ms
x
75.0ms
y
61.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
42.0ms
(/.f64 (sin.f64 y) y)
11.0ms
(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 15 to 17 computations (-13.3% saved)

regimes150.0ms (1.7%)

Memory
24.3MiB live, 141.7MiB allocated
Counts
50 → 2
Calls
Call 1
Inputs
#s(approx (/ (cosh x) (/ y (sin y))) #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)))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 #s(approx (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #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 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #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 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))))
(*.f64 #s(approx (cosh x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (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 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64))) y) (sin.f64 y))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 #s(approx (* (neg (sin y)) (cosh x)) (neg.f64 (sin.f64 y))) (neg.f64 (*.f64 y y))) y)
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) y) (sin.f64 y))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (sin.f64 y))
#s(approx (/ (cosh x) (/ y (sin y))) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (sin.f64 y))))
(/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) y)
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) x) x)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (/.f64 #s(literal -1 binary64) y))
Outputs
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
Calls

5 calls:

71.0ms
y
26.0ms
(/.f64 (sin.f64 y) y)
25.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
14.0ms
x
11.0ms
(cosh.f64 x)
Results
AccuracySegmentsBranch
97.7%3x
95.9%2y
97.7%2(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
92.9%1(cosh.f64 x)
95.9%2(/.f64 (sin.f64 y) y)
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes56.0ms (0.6%)

Memory
-7.1MiB live, 31.2MiB allocated
Counts
48 → 3
Calls
Call 1
Inputs
#s(approx (/ (cosh x) (/ y (sin y))) #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)))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 #s(approx (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #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 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #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 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))))
(*.f64 #s(approx (cosh x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (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 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64))) y) (sin.f64 y))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 #s(approx (* (neg (sin y)) (cosh x)) (neg.f64 (sin.f64 y))) (neg.f64 (*.f64 y y))) y)
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) y) (sin.f64 y))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (sin.f64 y))
#s(approx (/ (cosh x) (/ y (sin y))) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (sin.f64 y))))
(/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) y)
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) x) x)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
Outputs
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y (sin.f64 y)))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
Calls

1 calls:

12.0ms
(*.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 7 to 6 computations (14.3% saved)

regimes61.0ms (0.7%)

Memory
-20.6MiB live, 20.1MiB allocated
Counts
40 → 3
Calls
Call 1
Inputs
#s(approx (/ (cosh x) (/ y (sin y))) #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)))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 #s(approx (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #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 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #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 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))))
(*.f64 #s(approx (cosh x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (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 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64))) y) (sin.f64 y))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 #s(approx (* (neg (sin y)) (cosh x)) (neg.f64 (sin.f64 y))) (neg.f64 (*.f64 y y))) y)
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) y) (sin.f64 y))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (sin.f64 y))
#s(approx (/ (cosh x) (/ y (sin y))) (/.f64 (/.f64 #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 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
Calls

1 calls:

59.0ms
(*.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 7 to 6 computations (14.3% saved)

regimes11.0ms (0.1%)

Memory
16.7MiB live, 16.7MiB allocated
Counts
37 → 3
Calls
Call 1
Inputs
#s(approx (/ (cosh x) (/ y (sin y))) #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)))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 #s(approx (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #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 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #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 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))))
(*.f64 #s(approx (cosh x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (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 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64))) y) (sin.f64 y))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 #s(approx (* (neg (sin y)) (cosh x)) (neg.f64 (sin.f64 y))) (neg.f64 (*.f64 y y))) y)
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) y) (sin.f64 y))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
Outputs
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
Calls

1 calls:

10.0ms
(*.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 7 to 6 computations (14.3% saved)

regimes16.0ms (0.2%)

Memory
-15.3MiB live, 23.5MiB allocated
Counts
36 → 3
Calls
Call 1
Inputs
#s(approx (/ (cosh x) (/ y (sin y))) #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)))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 #s(approx (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #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 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #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 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))))
(*.f64 #s(approx (cosh x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (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 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64))) y) (sin.f64 y))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 #s(approx (* (neg (sin y)) (cosh x)) (neg.f64 (sin.f64 y))) (neg.f64 (*.f64 y y))) y)
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) y) (sin.f64 y))
Outputs
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y)))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
Calls

1 calls:

14.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Results
AccuracySegmentsBranch
99.1%3(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes10.0ms (0.1%)

Memory
27.5MiB live, 27.5MiB allocated
Counts
32 → 3
Calls
Call 1
Inputs
#s(approx (/ (cosh x) (/ y (sin y))) #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)))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 #s(approx (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #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 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #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 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))))
(*.f64 #s(approx (cosh x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (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 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64))) y) (sin.f64 y))
Outputs
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
Calls

1 calls:

8.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Results
AccuracySegmentsBranch
99.1%3(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes32.0ms (0.4%)

Memory
-8.2MiB live, 27.5MiB allocated
Counts
30 → 3
Calls
Call 1
Inputs
#s(approx (/ (cosh x) (/ y (sin y))) #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)))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 #s(approx (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #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 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #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 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))))
(*.f64 #s(approx (cosh x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (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 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (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:

8.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Results
AccuracySegmentsBranch
99.1%3(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes147.0ms (1.6%)

Memory
-0.7MiB live, 121.5MiB allocated
Counts
28 → 2
Calls
Call 1
Inputs
#s(approx (/ (cosh x) (/ y (sin y))) #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)))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 #s(approx (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #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 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #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 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))))
(*.f64 #s(approx (cosh x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
Outputs
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
Calls

5 calls:

47.0ms
y
47.0ms
(/.f64 (sin.f64 y) y)
37.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
9.0ms
x
6.0ms
(cosh.f64 x)
Results
AccuracySegmentsBranch
66.4%1(cosh.f64 x)
77.0%2(/.f64 (sin.f64 y) y)
66.4%1y
66.4%1x
77.1%2(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes40.0ms (0.4%)

Memory
-2.2MiB live, 37.1MiB allocated
Counts
27 → 2
Calls
Call 1
Inputs
#s(approx (/ (cosh x) (/ y (sin y))) #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)))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 #s(approx (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #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 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #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 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))))
(*.f64 #s(approx (cosh x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
Calls

2 calls:

30.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
8.0ms
(/.f64 (sin.f64 y) y)
Results
AccuracySegmentsBranch
74.1%2(/.f64 (sin.f64 y) y)
74.1%2(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Compiler

Compiled 11 to 10 computations (9.1% saved)

regimes57.0ms (0.6%)

Memory
-9.9MiB live, 28.6MiB allocated
Counts
26 → 2
Calls
Call 1
Inputs
#s(approx (/ (cosh x) (/ y (sin y))) #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)))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 #s(approx (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #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 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #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 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))))
(*.f64 #s(approx (cosh x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
Calls

2 calls:

49.0ms
(/.f64 (sin.f64 y) y)
7.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Results
AccuracySegmentsBranch
73.8%2(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
73.8%2(/.f64 (sin.f64 y) y)
Compiler

Compiled 11 to 10 computations (9.1% saved)

regimes16.0ms (0.2%)

Memory
27.1MiB live, 27.1MiB allocated
Counts
25 → 2
Calls
Call 1
Inputs
#s(approx (/ (cosh x) (/ y (sin y))) #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)))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 #s(approx (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #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 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #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 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))))
(*.f64 #s(approx (cosh x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
Outputs
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
Calls

2 calls:

7.0ms
(/.f64 (sin.f64 y) y)
7.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Results
AccuracySegmentsBranch
72.0%2(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
72.0%2(/.f64 (sin.f64 y) y)
Compiler

Compiled 11 to 10 computations (9.1% saved)

regimes66.0ms (0.7%)

Memory
-25.5MiB live, 16.1MiB allocated
Counts
20 → 2
Calls
Call 1
Inputs
#s(approx (/ (cosh x) (/ y (sin y))) #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)))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 #s(approx (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #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 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #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 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
Calls

1 calls:

6.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Results
AccuracySegmentsBranch
72.0%2(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes10.0ms (0.1%)

Memory
14.3MiB live, 14.3MiB allocated
Counts
15 → 2
Calls
Call 1
Inputs
#s(approx (/ (cosh x) (/ y (sin y))) #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)))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 #s(approx (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
Outputs
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
Calls

2 calls:

5.0ms
(/.f64 (sin.f64 y) y)
4.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Results
AccuracySegmentsBranch
69.1%3(/.f64 (sin.f64 y) y)
71.8%2(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Compiler

Compiled 11 to 10 computations (9.1% saved)

regimes43.0ms (0.5%)

Memory
4.7MiB live, 43.8MiB allocated
Counts
14 → 3
Calls
Call 1
Inputs
#s(approx (/ (cosh x) (/ y (sin y))) #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)))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 #s(approx (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
Calls

5 calls:

23.0ms
(cosh.f64 x)
5.0ms
y
5.0ms
x
5.0ms
(/.f64 (sin.f64 y) y)
4.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Results
AccuracySegmentsBranch
69.1%3(/.f64 (sin.f64 y) y)
60.5%3y
58.6%2x
56.5%1(cosh.f64 x)
66.8%2(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes16.0ms (0.2%)

Memory
-26.8MiB live, 12.5MiB allocated
Counts
9 → 3
Calls
Call 1
Inputs
#s(approx (/ (cosh x) (/ y (sin y))) #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)))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 #s(approx (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
Calls

2 calls:

12.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
3.0ms
(/.f64 (sin.f64 y) y)
Results
AccuracySegmentsBranch
59.0%2(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
63.1%3(/.f64 (sin.f64 y) y)
Compiler

Compiled 11 to 10 computations (9.1% saved)

regimes16.0ms (0.2%)

Memory
31.9MiB live, 31.9MiB allocated
Counts
8 → 3
Calls
Call 1
Inputs
#s(approx (/ (cosh x) (/ y (sin y))) #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)))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 #s(approx (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
Outputs
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
Calls

5 calls:

3.0ms
x
3.0ms
y
3.0ms
(/.f64 (sin.f64 y) y)
3.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
2.0ms
(cosh.f64 x)
Results
AccuracySegmentsBranch
48.6%1(cosh.f64 x)
52.6%2x
52.7%2y
55.3%2(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
59.4%3(/.f64 (sin.f64 y) y)
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes25.0ms (0.3%)

Memory
-31.2MiB live, 7.7MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (/ (cosh x) (/ y (sin y))) #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)))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 #s(approx (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
Outputs
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
Calls

2 calls:

22.0ms
(/.f64 (sin.f64 y) y)
2.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Results
AccuracySegmentsBranch
55.3%2(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
55.2%2(/.f64 (sin.f64 y) y)
Compiler

Compiled 11 to 10 computations (9.1% saved)

regimes10.0ms (0.1%)

Memory
22.3MiB live, 22.3MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (/ (cosh x) (/ y (sin y))) #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)))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 #s(approx (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
Outputs
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
Calls

5 calls:

2.0ms
x
2.0ms
y
2.0ms
(/.f64 (sin.f64 y) y)
2.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
2.0ms
(cosh.f64 x)
Results
AccuracySegmentsBranch
35.5%1(cosh.f64 x)
35.5%1x
35.5%1y
35.5%1(/.f64 (sin.f64 y) y)
35.5%1(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes26.0ms (0.3%)

Memory
-27.9MiB live, 14.1MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (/ (cosh x) (/ y (sin y))) #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
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
Calls

5 calls:

20.0ms
y
1.0ms
x
1.0ms
(/.f64 (sin.f64 y) y)
1.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
1.0ms
(cosh.f64 x)
Results
AccuracySegmentsBranch
29.6%1y
29.6%1x
29.6%1(cosh.f64 x)
29.6%1(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
29.6%1(/.f64 (sin.f64 y) y)
Compiler

Compiled 15 to 17 computations (-13.3% saved)

bsearch1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9995616513717529
0.9999999124833632
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999999999902
1.0
0.0ms
-9.501256718874731e+76
-2.3086445809865545e-9
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9995616513717529
0.9999999124833632
0.0ms
-9.501256718874731e+76
-2.3086445809865545e-9
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999999999902
1.0
0.0ms
-9.501256718874731e+76
-2.3086445809865545e-9
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999999999902
1.0
0.0ms
-9.501256718874731e+76
-2.3086445809865545e-9
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999999999902
1.0
0.0ms
-9.501256718874731e+76
-2.3086445809865545e-9
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999999999902
1.0
0.0ms
-9.501256718874731e+76
-2.3086445809865545e-9
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-9.753124780255164e-142
-3.1562997853329845e-180
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-4.207639597670771e-302
5.721189671570031e-307
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.53044004366325e-308
5.721189671570031e-307
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-9.753124780255164e-142
-3.1562997853329845e-180
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-9.753124780255164e-142
-3.1562997853329845e-180
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000000234439292
+inf
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.624674285106998e-89
4.143807850350295e-83
0.0ms
-1.53044004366325e-308
5.721189671570031e-307
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.624674285106998e-89
4.143807850350295e-83
0.0ms
-1.53044004366325e-308
5.721189671570031e-307
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.624674285106998e-89
4.143807850350295e-83
0.0ms
-1.53044004366325e-308
5.721189671570031e-307
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-9.753124780255164e-142
-3.1562997853329845e-180
Compiler

Compiled 10 to 11 computations (-10% saved)

simplify49.0ms (0.5%)

Memory
9.2MiB live, 48.7MiB allocated
Algorithm
egg-herbie
Rules
36×*-commutative-binary64-*.f64
1-exp-binary32-exp.f32
1-exp-binary64-exp.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01201185
11411185
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 1125449546879887/1125899906842624 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -49999999999999999139130636277292928373873822357007948776987560108905577054208 binary64)) (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 1125899906842613/1125899906842624 binary64)) (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y (sin.f64 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 -49999999999999999139130636277292928373873822357007948776987560108905577054208 binary64)) (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 1125449546879887/1125899906842624 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -49999999999999999139130636277292928373873822357007948776987560108905577054208 binary64)) (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 1125899906842613/1125899906842624 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -49999999999999999139130636277292928373873822357007948776987560108905577054208 binary64)) (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 1125899906842613/1125899906842624 binary64)) (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 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 -49999999999999999139130636277292928373873822357007948776987560108905577054208 binary64)) (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 1125899906842613/1125899906842624 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 -49999999999999999139130636277292928373873822357007948776987560108905577054208 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 1125899906842613/1125899906842624 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 -3432398830065305/6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057152 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 (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 -1930258305619341/48256457640483526790736996345261885416402018013988046254372920519692978755949818346967788625106125949665803400115206697318508323999832505432847356782135608177546840733663168278805472312472633443174306792848764674320699568611310171751523817932405366025164140823449795139392236379439950593039113881265164914919783530496 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -1012011266536553/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -3432398830065305/6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057152 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -3432398830065305/6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057152 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 2 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))) #s(approx (/ (sin y) y) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -1012011266536553/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 5733746539975179/286687326998758938951352611912760867599570623646035140467198604923365359511060601008752319138765710819328 binary64)) #s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -1012011266536553/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 5733746539975179/286687326998758938951352611912760867599570623646035140467198604923365359511060601008752319138765710819328 binary64)) #s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -1012011266536553/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 5733746539975179/286687326998758938951352611912760867599570623646035140467198604923365359511060601008752319138765710819328 binary64)) #s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -3432398830065305/6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057152 binary64)) #s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
Outputs
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 1125449546879887/1125899906842624 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))))
(if (<=.f64 (*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)) #s(literal 1125449546879887/1125899906842624 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (*.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (cosh.f64 x)))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -49999999999999999139130636277292928373873822357007948776987560108905577054208 binary64)) (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 1125899906842613/1125899906842624 binary64)) (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y (sin.f64 y))) (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))))
(if (<=.f64 (*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)) #s(literal -49999999999999999139130636277292928373873822357007948776987560108905577054208 binary64)) (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (cosh.f64 x)) (if (<=.f64 (*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)) #s(literal 1125899906842613/1125899906842624 binary64)) (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y (sin.f64 y))) (*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) (cosh.f64 x))))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -49999999999999999139130636277292928373873822357007948776987560108905577054208 binary64)) (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 1125449546879887/1125899906842624 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))))
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(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -1012011266536553/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 5733746539975179/286687326998758938951352611912760867599570623646035140467198604923365359511060601008752319138765710819328 binary64)) #s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -1012011266536553/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 5733746539975179/286687326998758938951352611912760867599570623646035140467198604923365359511060601008752319138765710819328 binary64)) #s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))))
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(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -3432398830065305/6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057152 binary64)) #s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)) #s(literal -3432398830065305/6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057152 binary64)) #s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (cosh x) (/ y (sin y))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))

soundness1.7s (18.9%)

Memory
-3.5MiB live, 1 198.0MiB allocated
Rules
21 860×lower-fma.f64
21 860×lower-fma.f32
16 186×lower-fma.f64
16 186×lower-fma.f32
12 636×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01453648
14813497
215923381
351693267
471393265
578513265
080653094
02053935
16663757
223503610
355903558
475213558
080683386
083638
1268614
2941588
33141569
08072539
0615
01015
12715
213015
3102515
0843815
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 1 893 to 820 computations (56.7% saved)

preprocess363.0ms (4%)

Memory
-4.8MiB live, 273.4MiB allocated
Remove

(abs x)

(abs y)

Compiler

Compiled 1 866 to 286 computations (84.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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