Linear.Quaternion:$csin from linear-1.19.1.3

Time bar (total: 8.7s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze17.0ms (0.2%)

Memory
-0.1MiB live, 40.6MiB 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)

sample828.0ms (9.5%)

Memory
-24.9MiB live, 1 887.4MiB allocated
Samples
582.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 378.0ms
ival-cos: 205.0ms (54.3% of total)
ival-div: 65.0ms (17.2% of total)
ival-mult: 52.0ms (13.8% of total)
ival-sinh: 45.0ms (11.9% of total)
ival-true: 7.0ms (1.9% of total)
ival-assert: 4.0ms (1.1% of total)
Bogosity

explain74.0ms (0.8%)

Memory
31.2MiB live, 190.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(sinh.f64 y)
00-0-(/.f64 (sinh.f64 y) y)
00-0-y
00-0-(cos.f64 x)
00-0-(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
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
38.0ms512×0valid
Compiler

Compiled 62 to 28 computations (54.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-cos: 11.0ms (49.3% of total)
ival-div: 4.0ms (17.9% of total)
ival-mult: 3.0ms (13.5% of total)
ival-sinh: 3.0ms (13.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess365.0ms (4.2%)

Memory
-12.5MiB live, 184.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01837
16137
216437
353837
4178337
5425437
6574937
7714837
067
0107
1197
2367
3747
41547
53027
67617
718007
830357
940317
1045167
1145947
1245977
1345997
1450197
1552397
1653597
1754937
1855977
1956377
2056537
2156617
2256617
2357797
2460177
2560537
2660537
2760537
060537
Stop Event
iter limit
saturated
iter limit
node limit
Calls
Call 1
Inputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Outputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
Symmetry

(abs y)

(abs x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify336.0ms (3.9%)

Memory
-11.8MiB live, 188.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sinh.f64 y)
cost-diff0
(/.f64 (sinh.f64 y) y)
cost-diff0
(cos.f64 x)
cost-diff0
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0617
01017
11917
23617
37417
415417
530217
676117
7180017
8303517
9403117
10451617
11459417
12459717
13459917
14501917
15523917
16535917
17549317
18559717
19563717
20565317
21566117
22566117
23577917
24601717
25605317
26605317
27605317
0605317
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(cos.f64 x)
x
(/.f64 (sinh.f64 y) y)
(sinh.f64 y)
y
Outputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
(cos.f64 x)
x
(/.f64 (sinh.f64 y) y)
(sinh.f64 y)
y

localize24.0ms (0.3%)

Memory
25.5MiB live, 65.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 (sinh.f64 y) y)
accuracy0
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
accuracy0.00390625
(sinh.f64 y)
accuracy0.00390625
(cos.f64 x)
Samples
19.0ms256×0valid
Compiler

Compiled 36 to 14 computations (61.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-cos: 7.0ms (59.2% of total)
ival-div: 2.0ms (16.9% of total)
ival-mult: 1.0ms (8.5% of total)
ival-sinh: 1.0ms (8.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series14.0ms (0.2%)

Memory
-12.4MiB live, 28.3MiB allocated
Counts
4 → 60
Calls
Call 1
Inputs
#s(alt (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())
#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())
#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())
#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())
Outputs
#s(alt (cos x) (taylor 0 y) (#s(alt (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (+ (cos x) (* 1/6 (* (pow y 2) (cos x)))) (taylor 0 y) (#s(alt (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))) (taylor 0 y) (#s(alt (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x))))))) (taylor 0 y) (#s(alt (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/6 (pow y 2))) (taylor 0 y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (taylor 0 y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) (taylor 0 y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* 1/6 (pow y 2)))) (taylor 0 y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (taylor 0 y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (taylor 0 y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf y) (#s(alt (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf y) (#s(alt (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf y) (#s(alt (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf y) (#s(alt (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor inf y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor inf y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor inf y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor inf y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor inf y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor inf y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor inf y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor inf y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf y) (#s(alt (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf y) (#s(alt (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf y) (#s(alt (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf y) (#s(alt (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor -inf y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor -inf y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor -inf y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor -inf y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor -inf y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor -inf y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor -inf y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor -inf y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor 0 x) (#s(alt (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))) (taylor 0 x) (#s(alt (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))) (taylor 0 x) (#s(alt (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y))))))) (taylor 0 x) (#s(alt (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow x 2))) (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf x) (#s(alt (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf x) (#s(alt (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf x) (#s(alt (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf x) (#s(alt (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
4.0ms
y
@-inf
((* (cos x) (/ (sinh y) y)) (cos x) (/ (sinh y) y) (sinh y))
3.0ms
y
@inf
((* (cos x) (/ (sinh y) y)) (cos x) (/ (sinh y) y) (sinh y))
2.0ms
x
@inf
((* (cos x) (/ (sinh y) y)) (cos x) (/ (sinh y) y) (sinh y))
1.0ms
y
@0
((* (cos x) (/ (sinh y) y)) (cos x) (/ (sinh y) y) (sinh y))
1.0ms
x
@-inf
((* (cos x) (/ (sinh y) y)) (cos x) (/ (sinh y) y) (sinh y))

simplify169.0ms (1.9%)

Memory
-1.6MiB live, 230.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084686
1241679
2744635
32418627
45284623
57975623
08399593
Stop Event
iter limit
node limit
Counts
60 → 59
Calls
Call 1
Inputs
(cos x)
(+ (cos x) (* 1/6 (* (pow y 2) (cos x))))
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
y
(* y (+ 1 (* 1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(cos x)
(cos x)
(cos x)
(cos x)
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(cos x)
(cos x)
(cos x)
(cos x)
Outputs
(cos x)
(cos.f64 x)
(+ (cos x) (* 1/6 (* (pow y 2) (cos x))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (cos.f64 x))
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (cos.f64 x))
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))
(*.f64 (cos.f64 x) (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)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(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) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(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) (+ 1/6 (* 1/120 (pow y 2))))))
(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) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(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 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (/.f64 (cos.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (/.f64 (cos.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (/.f64 (cos.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (/.f64 (cos.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (/.f64 (cos.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (/.f64 (cos.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (/.f64 (cos.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (/.f64 (cos.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/1440 binary64) (*.f64 x x) #s(literal 1/48 binary64)) #s(literal -1/4 binary64))) (*.f64 x x)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(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) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(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 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (/.f64 (cos.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (/.f64 (cos.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (/.f64 (cos.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (/.f64 (cos.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (/.f64 (cos.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (/.f64 (cos.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (/.f64 (cos.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (/.f64 (cos.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)

rewrite117.0ms (1.3%)

Memory
18.3MiB live, 213.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
01015
12615
212115
387015
0838415
Stop Event
iter limit
node limit
iter limit
Counts
4 → 644
Calls
Call 1
Inputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(cos.f64 x)
(/.f64 (sinh.f64 y) y)
(sinh.f64 y)
Outputs
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eval120.0ms (1.4%)

Memory
7.0MiB live, 247.7MiB allocated
Compiler

Compiled 12 790 to 2 065 computations (83.9% saved)

prune17.0ms (0.2%)

Memory
-24.2MiB live, 51.8MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New6976703
Fresh000
Picked101
Done000
Total6986704
Accuracy
100.0%
Counts
704 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(*.f64 (cos.f64 x) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) y))
93.3%
(*.f64 (cos.f64 x) #s(approx (/ (sinh 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))))
80.0%
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
64.3%
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y))
61.7%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
53.1%
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
Compiler

Compiled 126 to 104 computations (17.5% saved)

simplify161.0ms (1.8%)

Memory
-1.0MiB live, 158.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
cost-diff0
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y))
cost-diff0
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
cost-diff0
(cos.f64 x)
cost-diff0
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
cost-diff0
(sinh.f64 y)
cost-diff0
(/.f64 (sinh.f64 y) y)
cost-diff0
#s(approx (cos x) #s(literal 1 binary64))
cost-diff0
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
cost-diff0
(cos.f64 x)
cost-diff0
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
cost-diff0
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) y)
cost-diff0
(cos.f64 x)
cost-diff0
(*.f64 (cos.f64 x) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) y))
cost-diff1408
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028152
046148
179140
2127140
3302140
41107140
53903140
67393140
08283140
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (cos.f64 x) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) y))
(cos.f64 x)
x
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) y)
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1/2 binary64) (sinh.f64 y))
(sinh.f64 y)
y
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
(cos.f64 x)
x
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
#s(approx (cos x) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (sinh.f64 y) y)
(sinh.f64 y)
y
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(cos.f64 x)
x
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
(/.f64 (sinh.f64 y) y)
(sinh.f64 y)
y
Outputs
(*.f64 (cos.f64 x) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) y))
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
(cos.f64 x)
x
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) y)
(/.f64 (sinh.f64 y) y)
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
(sinh.f64 y)
#s(literal 1/2 binary64)
(/.f64 #s(literal 1/2 binary64) (sinh.f64 y))
(sinh.f64 y)
y
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
(cos.f64 x)
x
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) y) (sinh.f64 y))
#s(approx (cos x) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (sinh.f64 y) y)
(sinh.f64 y)
y
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (cos.f64 x))
(cos.f64 x)
x
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
#s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
(/.f64 (sinh.f64 y) y)
(sinh.f64 y)
y

localize122.0ms (1.4%)

Memory
9.9MiB live, 258.9MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y))
accuracy0
(*.f64 x x)
accuracy0.00390625
(sinh.f64 y)
accuracy16.558068494709012
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
accuracy0
(*.f64 y y)
accuracy0.00390625
(cos.f64 x)
accuracy0.0078125
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
accuracy1.0431866408783108
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
accuracy0
(/.f64 (sinh.f64 y) y)
accuracy0
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
accuracy0.00390625
(sinh.f64 y)
accuracy14.893611270442005
#s(approx (cos x) #s(literal 1 binary64))
accuracy0.00390625
(cos.f64 x)
accuracy1.1935999021471857
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
accuracy0.00390625
(/.f64 #s(literal 1/2 binary64) (sinh.f64 y))
accuracy0.00390625
(sinh.f64 y)
accuracy0.00390625
(cos.f64 x)
accuracy0.125
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
Samples
60.0ms118×2exit
32.0ms137×0valid
1.0ms5exit
Compiler

Compiled 250 to 46 computations (81.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-mult: 12.0ms (27.9% of total)
adjust: 7.0ms (16.3% of total)
ival-cos: 7.0ms (16.3% of total)
const: 6.0ms (13.9% of total)
ival-div: 6.0ms (13.9% of total)
ival-add: 4.0ms (9.3% of total)
exact: 1.0ms (2.3% of total)
ival-sinh: 1.0ms (2.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series19.0ms (0.2%)

Memory
6.2MiB live, 45.2MiB allocated
Counts
18 → 276
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) #<representation binary64>) () ())
#s(alt (*.f64 (cos.f64 x) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) y)) (patch (*.f64 (cos.f64 x) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) y)) #<representation binary64>) () ())
#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) y) (patch (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) y) #<representation binary64>) () ())
#s(alt #s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x)) (patch #s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y)) (patch (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())
#s(alt #s(approx (cos x) #s(literal 1 binary64)) (patch #s(approx (cos x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())
#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())
#s(alt (*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) (patch (*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y)) (patch (*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())
#s(alt #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)) (patch (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)) #<representation binary64>) () ())
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())
Outputs
#s(alt y (taylor 0 y) (#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* 1/6 (pow y 2)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor 0 y) (#s(alt (*.f64 (cos.f64 x) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) y)) (patch (*.f64 (cos.f64 x) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) y)) #<representation binary64>) () ())) ())
#s(alt (+ (cos x) (* 1/6 (* (pow y 2) (cos x)))) (taylor 0 y) (#s(alt (*.f64 (cos.f64 x) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) y)) (patch (*.f64 (cos.f64 x) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) y)) #<representation binary64>) () ())) ())
#s(alt (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))) (taylor 0 y) (#s(alt (*.f64 (cos.f64 x) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) y)) (patch (*.f64 (cos.f64 x) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) y)) #<representation binary64>) () ())) ())
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#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf x) (#s(alt (*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) (patch (*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf x) (#s(alt (*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) (patch (*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf x) (#s(alt (*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y)) (patch (*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf x) (#s(alt (*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y)) (patch (*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf x) (#s(alt (*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y)) (patch (*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf x) (#s(alt (*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y)) (patch (*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor inf x) (#s(alt #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor inf x) (#s(alt #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor inf x) (#s(alt #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor inf x) (#s(alt #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cos 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 (pow x 2)) 1/2)) (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 (pow x 2)) 1/2)) (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 (pow x 2)) 1/2)) (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) (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 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 (cos.f64 x) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) y)) (patch (*.f64 (cos.f64 x) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 (cos.f64 x) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) y)) (patch (*.f64 (cos.f64 x) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 (cos.f64 x) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) y)) (patch (*.f64 (cos.f64 x) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 (cos.f64 x) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) y)) (patch (*.f64 (cos.f64 x) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) y)) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt #s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x)) (patch #s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt #s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x)) (patch #s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt #s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x)) (patch #s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt #s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x)) (patch #s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y)) (patch (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y)) (patch (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y)) (patch (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y)) (patch (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt #s(approx (cos x) #s(literal 1 binary64)) (patch #s(approx (cos x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt #s(approx (cos x) #s(literal 1 binary64)) (patch #s(approx (cos x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt #s(approx (cos x) #s(literal 1 binary64)) (patch #s(approx (cos x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt #s(approx (cos x) #s(literal 1 binary64)) (patch #s(approx (cos x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) (patch (*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) (patch (*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) (patch (*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) (patch (*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y)) (patch (*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y)) (patch (*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y)) (patch (*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y)) (patch (*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cos 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 (pow x 2)) 1/2)) (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 (pow x 2)) 1/2)) (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 (pow x 2)) 1/2)) (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) (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>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
3.0ms
y
@inf
((/ 1/2 (/ 1/2 (sinh y))) (* (cos x) (/ (/ 1/2 (/ 1/2 (sinh y))) y)) (cos x) (/ (/ 1/2 (/ 1/2 (sinh y))) y) (* (cos x) (/ (sinh y) y)) (* (cos x) (/ (sinh y) y)) (cos x) (/ (sinh y) y) (sinh y) (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* -1/2 (* x x)) 1) (* x x) (/ 1/2 (sinh y)) (* y y))
2.0ms
y
@-inf
((/ 1/2 (/ 1/2 (sinh y))) (* (cos x) (/ (/ 1/2 (/ 1/2 (sinh y))) y)) (cos x) (/ (/ 1/2 (/ 1/2 (sinh y))) y) (* (cos x) (/ (sinh y) y)) (* (cos x) (/ (sinh y) y)) (cos x) (/ (sinh y) y) (sinh y) (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* -1/2 (* x x)) 1) (* x x) (/ 1/2 (sinh y)) (* y y))
2.0ms
x
@0
((/ 1/2 (/ 1/2 (sinh y))) (* (cos x) (/ (/ 1/2 (/ 1/2 (sinh y))) y)) (cos x) (/ (/ 1/2 (/ 1/2 (sinh y))) y) (* (cos x) (/ (sinh y) y)) (* (cos x) (/ (sinh y) y)) (cos x) (/ (sinh y) y) (sinh y) (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* -1/2 (* x x)) 1) (* x x) (/ 1/2 (sinh y)) (* y y))
1.0ms
x
@inf
((/ 1/2 (/ 1/2 (sinh y))) (* (cos x) (/ (/ 1/2 (/ 1/2 (sinh y))) y)) (cos x) (/ (/ 1/2 (/ 1/2 (sinh y))) y) (* (cos x) (/ (sinh y) y)) (* (cos x) (/ (sinh y) y)) (cos x) (/ (sinh y) y) (sinh y) (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* -1/2 (* x x)) 1) (* x x) (/ 1/2 (sinh y)) (* y y))
1.0ms
x
@-inf
((/ 1/2 (/ 1/2 (sinh y))) (* (cos x) (/ (/ 1/2 (/ 1/2 (sinh y))) y)) (cos x) (/ (/ 1/2 (/ 1/2 (sinh y))) y) (* (cos x) (/ (sinh y) y)) (* (cos x) (/ (sinh y) y)) (cos x) (/ (sinh y) y) (sinh y) (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* -1/2 (* x x)) 1) (* x x) (/ 1/2 (sinh y)) (* y y))

simplify192.0ms (2.2%)

Memory
5.8MiB live, 282.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01113080
12953045
28772843
327972803
459652803
084812671
Stop Event
iter limit
node limit
Counts
276 → 274
Calls
Call 1
Inputs
y
(* y (+ 1 (* 1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(cos x)
(+ (cos x) (* 1/6 (* (pow y 2) (cos x))))
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(cos x)
(+ (cos x) (* 1/6 (* (pow y 2) (cos x))))
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))
(cos x)
(+ (cos x) (* 1/6 (* (pow y 2) (cos x))))
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
y
(* y (+ 1 (* 1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(cos x)
(+ (cos x) (* 1/6 (* (pow y 2) (cos x))))
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* 1/6 (pow y 2)))
(cos x)
(+ (cos x) (* 1/6 (* (pow y 2) (cos x))))
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))
(/ 1/2 y)
(/ (+ 1/2 (* -1/12 (pow y 2))) y)
(/ (+ 1/2 (* (pow y 2) (- (* 7/720 (pow y 2)) 1/12))) y)
(/ (+ 1/2 (* (pow y 2) (- (* (pow y 2) (+ 7/720 (* -31/30240 (pow y 2)))) 1/12))) y)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/6 (pow y 2))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(/ 1 (- (exp y) (/ 1 (exp y))))
(/ 1 (- (exp y) (/ 1 (exp y))))
(/ 1 (- (exp y) (/ 1 (exp y))))
(/ 1 (- (exp y) (/ 1 (exp y))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/6 (pow y 2))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(/ 1 (- (exp y) (/ 1 (exp y))))
(/ 1 (- (exp y) (/ 1 (exp y))))
(/ 1 (- (exp y) (/ 1 (exp y))))
(/ 1 (- (exp y) (/ 1 (exp y))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
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)
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(cos x)
(cos x)
(cos x)
(cos x)
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(cos x)
(cos x)
(cos x)
(cos x)
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(cos x)
(cos x)
(cos x)
(cos x)
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(cos x)
(cos x)
(cos x)
(cos x)
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(cos x)
(cos x)
(cos x)
(cos x)
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(cos x)
(cos x)
(cos x)
(cos x)
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
Outputs
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) (+ 1/6 (* 1/120 (pow y 2))))))
(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) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(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)
(cos x)
(cos.f64 x)
(+ (cos x) (* 1/6 (* (pow y 2) (cos x))))
(*.f64 (cos.f64 x) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))
(*.f64 (cos.f64 x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))
(*.f64 (cos.f64 x) (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)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(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) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(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))
(cos x)
(cos.f64 x)
(+ (cos x) (* 1/6 (* (pow y 2) (cos x))))
(*.f64 (cos.f64 x) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))
(*.f64 (cos.f64 x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))
(*.f64 (cos.f64 x) (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)))
(cos x)
(cos.f64 x)
(+ (cos x) (* 1/6 (* (pow y 2) (cos x))))
(*.f64 (cos.f64 x) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))
(*.f64 (cos.f64 x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))
(*.f64 (cos.f64 x) (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)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(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) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(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) (+ 1/6 (* 1/120 (pow y 2))))))
(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) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(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)
(cos x)
(cos.f64 x)
(+ (cos x) (* 1/6 (* (pow y 2) (cos x))))
(*.f64 (cos.f64 x) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))
(*.f64 (cos.f64 x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))
(*.f64 (cos.f64 x) (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)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
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rewrite155.0ms (1.8%)

Memory
17.1MiB live, 211.6MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028126
046120
1127114
2710114
35393114
08299114
Stop Event
iter limit
node limit
iter limit
Counts
18 → 788
Calls
Call 1
Inputs
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
(*.f64 (cos.f64 x) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) y))
(cos.f64 x)
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) y)
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
#s(approx (cos x) #s(literal 1 binary64))
(/.f64 (sinh.f64 y) y)
(sinh.f64 y)
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(/.f64 #s(literal 1/2 binary64) (sinh.f64 y))
(*.f64 y y)
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eval269.0ms (3.1%)

Memory
-24.7MiB live, 336.3MiB allocated
Compiler

Compiled 20 631 to 2 668 computations (87.1% saved)

prune52.0ms (0.6%)

Memory
16.9MiB live, 102.7MiB allocated
Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New1 340121 352
Fresh101
Picked325
Done000
Total1 344141 358
Accuracy
100.0%
Counts
1 358 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.9%
(*.f64 (cos.f64 x) (/.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (/ 1/2 (sinh y)) (/.f64 #s(literal 1/2 binary64) y))) y))
60.7%
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh 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))))
58.1%
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh 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))))
53.9%
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
17.0%
(*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (/.f64 (sinh.f64 y) y))
61.7%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
57.2%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh 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))))
54.3%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh 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))))
48.7%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
53.1%
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
39.7%
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos 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))))
34.3%
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos 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))))
34.6%
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
30.0%
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))
Compiler

Compiled 350 to 269 computations (23.1% saved)

simplify138.0ms (1.6%)

Memory
-16.8MiB live, 140.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
036325
061325
1115325
2192325
3424325
4915325
51343325
61808325
72947325
84313325
95307325
105861325
116064325
127019325
08029325
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh 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 (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
#s(approx (/ (sinh 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(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (cos x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(*.f64 y y)
y
#s(literal 1/6 binary64)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh 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 (cos x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (sinh 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)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos 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 (cos 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)
Outputs
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh 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 (/ (sinh 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 (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
#s(approx (/ (sinh 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 (/ (sinh 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(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
#s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(*.f64 y y)
y
#s(literal 1/6 binary64)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh 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 (/ (sinh 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 (cos x) #s(literal 1 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (sinh 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)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos 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 (cos 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)

localize122.0ms (1.4%)

Memory
-6.9MiB live, 238.0MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0546875
(fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64))
accuracy0.1015625
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
accuracy30.014287982672386
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos 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))))
accuracy32.60969726685361
#s(approx (cos 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)))
accuracy0.03515625
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
accuracy0.05078125
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))
accuracy6.864504395375266
#s(approx (/ (sinh 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)))
accuracy30.368383556739012
#s(approx (cos x) #s(literal 1 binary64))
accuracy0
(*.f64 y y)
accuracy0.08203125
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
accuracy12.806862472989021
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
accuracy30.368383556739012
#s(approx (cos x) #s(literal 1 binary64))
accuracy30.014287982672386
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))
accuracy30.368383556739012
#s(approx (cos x) #s(literal 1 binary64))
accuracy0.0390625
(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))
accuracy0.27145471047115977
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
accuracy4.273393900416952
#s(approx (/ (sinh 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)))
accuracy32.6774476922575
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
Samples
95.0ms256×0valid
Compiler

Compiled 473 to 69 computations (85.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 76.0ms
ival-mult: 31.0ms (40.9% of total)
const: 20.0ms (26.4% of total)
ival-add: 13.0ms (17.1% of total)
ival-cos: 7.0ms (9.2% of total)
ival-div: 2.0ms (2.6% of total)
ival-sinh: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series27.0ms (0.3%)

Memory
4.0MiB live, 44.9MiB allocated
Counts
22 → 324
Calls
Call 1
Inputs
#s(alt (*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh 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 (*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh 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 (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64))) (patch #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (cos x) #s(literal 1 binary64)) (patch #s(approx (cos x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) (patch (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh 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)))) (patch (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh 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)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (sinh 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))) (patch #s(approx (/ (sinh 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))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #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 #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 (* (cos x) (/ (sinh y) y)) #s(approx (cos 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 (* (cos x) (/ (sinh y) y)) #s(approx (cos 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 #s(approx (cos 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 (cos 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 (/ (sinh 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 (/ (sinh 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 #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 (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 y y) (patch (*.f64 y y) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 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 (cos x) (taylor 0 y) (#s(alt (*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh 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 (*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh 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 (+ (cos x) (* 1/6 (* (pow y 2) (cos x)))) (taylor 0 y) (#s(alt (*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh 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 (*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh 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 (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))) (taylor 0 y) (#s(alt (*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh 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 (*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh 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 (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x))))))) (taylor 0 y) (#s(alt (*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh 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 (*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh 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 (cos x) (taylor 0 y) (#s(alt #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64))) (patch #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (cos x) (* 1/6 (* (pow y 2) (cos x)))) (taylor 0 y) (#s(alt #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64))) (patch #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))) (taylor 0 y) (#s(alt #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64))) (patch #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x))))))) (taylor 0 y) (#s(alt #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64))) (patch #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor 0 y) (#s(alt (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) (patch (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (cos x) (* 1/6 (* (pow y 2) (cos x)))) (taylor 0 y) (#s(alt (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) (patch (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))) (taylor 0 y) (#s(alt (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) (patch (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x))))))) (taylor 0 y) (#s(alt (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) (patch (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/6 (pow y 2))) (taylor 0 y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (taylor 0 y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) (taylor 0 y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/6 (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/6 (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/6 (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor 0 y) (#s(alt (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh 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)))) (patch (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh 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)))) #<representation binary64>) () ())) ())
#s(alt (+ (cos x) (* 1/6 (* (pow y 2) (cos x)))) (taylor 0 y) (#s(alt (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh 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)))) (patch (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh 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)))) #<representation binary64>) () ())) ())
#s(alt (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))) (taylor 0 y) (#s(alt (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh 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)))) (patch (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh 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)))) #<representation binary64>) () ())) ())
#s(alt (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x))))))) (taylor 0 y) (#s(alt (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh 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)))) (patch (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh 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)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (/ (sinh 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))) (patch #s(approx (/ (sinh 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))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/6 (pow y 2))) (taylor 0 y) (#s(alt #s(approx (/ (sinh 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))) (patch #s(approx (/ (sinh 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))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (taylor 0 y) (#s(alt #s(approx (/ (sinh 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))) (patch #s(approx (/ (sinh 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))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) (taylor 0 y) (#s(alt #s(approx (/ (sinh 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))) (patch #s(approx (/ (sinh 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))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (fma.f64 (fma.f64 #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 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/6 (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (fma.f64 #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 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (taylor 0 y) (#s(alt (fma.f64 (fma.f64 #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 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (taylor 0 y) (#s(alt (fma.f64 (fma.f64 #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 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor 0 y) (#s(alt #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos 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 (* (cos x) (/ (sinh y) y)) #s(approx (cos 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 (+ (cos x) (* 1/6 (* (pow y 2) (cos x)))) (taylor 0 y) (#s(alt #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos 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 (* (cos x) (/ (sinh y) y)) #s(approx (cos 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 (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))) (taylor 0 y) (#s(alt #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos 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 (* (cos x) (/ (sinh y) y)) #s(approx (cos 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 (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x))))))) (taylor 0 y) (#s(alt #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos 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 (* (cos x) (/ (sinh y) y)) #s(approx (cos 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 (taylor 0 y) (#s(alt #s(approx (/ (sinh 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 (/ (sinh 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 (+ 1 (* 1/6 (pow y 2))) (taylor 0 y) (#s(alt #s(approx (/ (sinh 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 (/ (sinh 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 (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (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 (* -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) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) (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) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) (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) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) (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
5.0ms
x
@-inf
((* (cos x) (/ (sinh y) y)) (cos x) (+ (* -1/2 (* x x)) 1) (* x x) (* (cos x) (/ (sinh y) y)) (cos x) (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* x x)) 1) (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (/ (sinh y) y) (+ (* 1/5040 (* y y)) 1/120) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y) (+ (* 1/120 (* y y)) 1/6) (+ (* -1/720 (* x x)) 1/24))
3.0ms
y
@inf
((* (cos x) (/ (sinh y) y)) (cos x) (+ (* -1/2 (* x x)) 1) (* x x) (* (cos x) (/ (sinh y) y)) (cos x) (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* x x)) 1) (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (/ (sinh y) y) (+ (* 1/5040 (* y y)) 1/120) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y) (+ (* 1/120 (* y y)) 1/6) (+ (* -1/720 (* x x)) 1/24))
2.0ms
y
@-inf
((* (cos x) (/ (sinh y) y)) (cos x) (+ (* -1/2 (* x x)) 1) (* x x) (* (cos x) (/ (sinh y) y)) (cos x) (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* x x)) 1) (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (/ (sinh y) y) (+ (* 1/5040 (* y y)) 1/120) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y) (+ (* 1/120 (* y y)) 1/6) (+ (* -1/720 (* x x)) 1/24))
2.0ms
x
@inf
((* (cos x) (/ (sinh y) y)) (cos x) (+ (* -1/2 (* x x)) 1) (* x x) (* (cos x) (/ (sinh y) y)) (cos x) (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* x x)) 1) (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (/ (sinh y) y) (+ (* 1/5040 (* y y)) 1/120) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y) (+ (* 1/120 (* y y)) 1/6) (+ (* -1/720 (* x x)) 1/24))
1.0ms
y
@0
((* (cos x) (/ (sinh y) y)) (cos x) (+ (* -1/2 (* x x)) 1) (* x x) (* (cos x) (/ (sinh y) y)) (cos x) (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* x x)) 1) (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (/ (sinh y) y) (+ (* 1/5040 (* y y)) 1/120) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y) (+ (* 1/120 (* y y)) 1/6) (+ (* -1/720 (* x x)) 1/24))

simplify456.0ms (5.2%)

Memory
-212.3MiB live, 161.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01263492
13513457
29863267
326723219
460903199
082233009
Stop Event
iter limit
node limit
Counts
324 → 324
Calls
Call 1
Inputs
(cos x)
(+ (cos x) (* 1/6 (* (pow y 2) (cos x))))
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))
(cos x)
(+ (cos x) (* 1/6 (* (pow y 2) (cos x))))
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))
(cos x)
(+ (cos x) (* 1/6 (* (pow y 2) (cos x))))
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* 1/6 (pow y 2)))
(cos x)
(+ (cos x) (* 1/6 (* (pow y 2) (cos x))))
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(cos x)
(+ (cos x) (* 1/6 (* (pow y 2) (cos x))))
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
1/120
(+ 1/120 (* 1/5040 (pow y 2)))
(+ 1/120 (* 1/5040 (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)))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
1/6
(+ 1/6 (* 1/120 (pow y 2)))
(+ 1/6 (* 1/120 (pow y 2)))
(+ 1/6 (* 1/120 (pow y 2)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/6 (pow y 2))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/120 (pow y 4))
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/5040 (pow y 2))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* 1/5040 (pow y 4))
(* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* 1/120 (pow y 2))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/6 (pow y 2))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/120 (pow y 4))
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/5040 (pow y 2))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* 1/5040 (pow y 4))
(* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* 1/120 (pow y 2))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
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)
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 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)))) 1/2)
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 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(cos x)
(cos x)
(cos x)
(cos x)
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(cos x)
(cos x)
(cos x)
(cos x)
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(cos x)
(cos x)
(cos x)
(cos x)
(* -1/720 (pow x 6))
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* -1/720 (pow x 4))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* -1/720 (pow x 2))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(cos x)
(cos x)
(cos x)
(cos x)
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(cos x)
(cos x)
(cos x)
(cos x)
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(cos x)
(cos x)
(cos x)
(cos x)
(* -1/720 (pow x 6))
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* -1/720 (pow x 4))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* -1/720 (pow x 2))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
Outputs
(cos x)
(cos.f64 x)
(+ (cos x) (* 1/6 (* (pow y 2) (cos x))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (cos.f64 x))
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (cos.f64 x))
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))
(*.f64 (cos.f64 x) (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)))
(cos x)
(cos.f64 x)
(+ (cos x) (* 1/6 (* (pow y 2) (cos x))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (cos.f64 x))
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (cos.f64 x))
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))
(*.f64 (cos.f64 x) (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)))
(cos x)
(cos.f64 x)
(+ (cos x) (* 1/6 (* (pow y 2) (cos x))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (cos.f64 x))
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (cos.f64 x))
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))
(*.f64 (cos.f64 x) (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)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(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) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(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)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(+ 1 (* 1/6 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(+ 1 (* 1/6 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(cos x)
(cos.f64 x)
(+ (cos x) (* 1/6 (* (pow y 2) (cos x))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (cos.f64 x))
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (cos.f64 x))
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))
(*.f64 (cos.f64 x) (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)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(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) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(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)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(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) (+ 1/6 (* 1/120 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(cos x)
(cos.f64 x)
(+ (cos x) (* 1/6 (* (pow y 2) (cos x))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (cos.f64 x))
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (cos.f64 x))
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))
(*.f64 (cos.f64 x) (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)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(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) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(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))
1/120
#s(literal 1/120 binary64)
(+ 1/120 (* 1/5040 (pow y 2)))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
(+ 1/120 (* 1/5040 (pow y 2)))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
(+ 1/120 (* 1/5040 (pow y 2)))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/120 (pow y 2)))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))
(+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))
(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))
(+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))
(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))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/120 (pow y 2)))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))
(+ 1/6 (* 1/120 (pow y 2)))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))
(+ 1/6 (* 1/120 (pow y 2)))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) #s(literal 1/2 binary64))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) #s(literal 1/2 binary64))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) #s(literal 1/2 binary64))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) #s(literal 1/2 binary64))
(* 1/6 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/6 binary64))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) #s(literal 1/2 binary64))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) #s(literal 1/2 binary64))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) #s(literal 1/2 binary64))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) #s(literal 1/2 binary64))
(* 1/120 (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64))
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y)
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) #s(literal 1/2 binary64))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) #s(literal 1/2 binary64))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) #s(literal 1/2 binary64))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) #s(literal 1/2 binary64))
(* 1/5040 (pow y 2))
(*.f64 #s(literal 1/5040 binary64) (*.f64 y y))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
(* 1/5040 (pow y 4))
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(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
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(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) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 1/24 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
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1/24
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(+ 1/24 (* -1/720 (pow x 2)))
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(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
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(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(pow x 2)
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(pow x 2)
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(pow x 2)
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(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
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(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(cos x)
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(cos x)
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(cos x)
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(*.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) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
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(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (*.f64 (-.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (*.f64 (-.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))
(* -1/720 (pow x 2))
(*.f64 #s(literal -1/720 binary64) (*.f64 x x))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(cos x)
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(cos x)
(cos.f64 x)
(cos x)
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(cos x)
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(* -1/2 (pow x 2))
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(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #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 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
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(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
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(*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (*.f64 (-.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (*.f64 (-.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))
(* -1/720 (pow x 2))
(*.f64 #s(literal -1/720 binary64) (*.f64 x x))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))

rewrite279.0ms (3.2%)

Memory
-14.4MiB live, 183.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036272
061272
1242272
21675272
08499272
Stop Event
iter limit
node limit
iter limit
Counts
22 → 332
Calls
Call 1
Inputs
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh 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 (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh 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 (/ (sinh 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)))
(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 (* (cos x) (/ (sinh y) y)) #s(approx (cos 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 (cos 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 (/ (sinh 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)))
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(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)
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
Outputs
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eval152.0ms (1.7%)

Memory
9.6MiB live, 245.6MiB allocated
Compiler

Compiled 20 879 to 2 247 computations (89.2% saved)

prune76.0ms (0.9%)

Memory
17.4MiB live, 104.4MiB allocated
Pruning

25 alts after pruning (21 fresh and 4 done)

PrunedKeptTotal
New80818826
Fresh437
Picked325
Done022
Total81525840
Accuracy
100.0%
Counts
840 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.9%
(*.f64 (cos.f64 x) (/.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (/ 1/2 (sinh y)) (/.f64 #s(literal 1/2 binary64) y))) y))
60.9%
(*.f64 #s(approx (cos 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 (/ (sinh 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))))
58.7%
(*.f64 #s(approx (cos 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 (/ (sinh 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))))
55.8%
(*.f64 #s(approx (cos 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 (/ (sinh 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))))
54.0%
(*.f64 #s(approx (cos 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 (/ (sinh 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))))
60.7%
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y #s(literal 1/5040 binary64)) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
60.7%
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
60.5%
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh 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))))
58.1%
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh 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))))
60.7%
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
53.9%
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
17.0%
(*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (/.f64 (sinh.f64 y) y))
57.2%
(*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh 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))))
61.7%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
54.3%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
54.3%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh 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))))
48.7%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
54.0%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
27.1%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y))))
21.5%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
53.1%
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
39.7%
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos 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))))
34.3%
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos 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))))
34.6%
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
30.0%
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))
Compiler

Compiled 842 to 601 computations (28.6% saved)

simplify143.0ms (1.6%)

Memory
-28.0MiB live, 167.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
cost-diff0
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
cost-diff128
(+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
cost-diff0
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh 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))))
cost-diff0
(fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))
cost-diff0
#s(approx (cos x) #s(literal 1 binary64))
cost-diff0
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
cost-diff0
#s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64))
cost-diff0
(fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
cost-diff0
#s(approx (cos x) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
cost-diff0
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
cost-diff0
(fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64))
cost-diff0
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
cost-diff0
#s(approx (cos 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 (cos 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 (/ (sinh 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))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058603
096599
1174599
2262599
3516599
41024599
51533599
62002599
73180599
84582599
95569599
106127599
116362599
127552599
08061595
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 #s(approx (cos 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 (/ (sinh 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 (cos 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 (/ (sinh 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(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
#s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (cos x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))
#s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y)))
(*.f64 #s(literal 1/120 binary64) (*.f64 y y))
#s(literal 1/120 binary64)
(*.f64 y y)
y
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh 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))))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
#s(approx (/ (sinh 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)))
(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))
(fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))
#s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64))
#s(literal 1/120 binary64)
(*.f64 y y)
y
#s(literal 1/6 binary64)
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
#s(approx (/ (sinh y) y) (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64))
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y)
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y)
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(*.f64 y y)
y
#s(literal 1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
Outputs
(*.f64 #s(approx (cos 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 (/ (sinh 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 (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #s(approx (cos 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 (cos 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 (cos 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 (/ (sinh 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 (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) 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 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) 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 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) 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(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
#s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))
#s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y)))
(*.f64 #s(literal 1/120 binary64) (*.f64 y y))
#s(literal 1/120 binary64)
(*.f64 y y)
y
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh 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 (/ (sinh 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))) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
#s(approx (/ (sinh 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)))
(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))
(fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))
#s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64))
#s(literal 1/120 binary64)
(*.f64 y y)
y
#s(literal 1/6 binary64)
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
#s(approx (/ (sinh y) y) (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64))
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y)
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y)
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(*.f64 y y)
y
#s(literal 1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)

localize157.0ms (1.8%)

Memory
28.1MiB live, 182.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0859375
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y)
accuracy0.27145471047115977
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
accuracy4.273393900416952
#s(approx (/ (sinh y) y) (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
accuracy32.6774476922575
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
accuracy0.0390625
(fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))
accuracy4.273393900416952
#s(approx (/ (sinh 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)))
accuracy29.683866079798147
#s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64))
accuracy32.6774476922575
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
accuracy0.11328125
(*.f64 #s(literal 1/120 binary64) (*.f64 y y))
accuracy6.864504395375266
#s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))
accuracy30.368383556739012
#s(approx (cos x) #s(literal 1 binary64))
accuracy32.11172254940509
#s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y)))
accuracy0.03515625
(fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
accuracy30.014287982672386
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
accuracy32.58589919282373
#s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64))
accuracy32.60969726685361
#s(approx (cos x) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
accuracy0.1015625
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
accuracy0.27145471047115977
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
accuracy4.273393900416952
#s(approx (/ (sinh 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)))
accuracy32.60969726685361
#s(approx (cos 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)))
Samples
99.0ms256×0valid
Compiler

Compiled 804 to 86 computations (89.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 72.0ms
ival-mult: 31.0ms (42.8% of total)
ival-add: 16.0ms (22.1% of total)
const: 14.0ms (19.3% of total)
ival-cos: 7.0ms (9.7% of total)
ival-div: 2.0ms (2.8% of total)
ival-sinh: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series35.0ms (0.4%)

Memory
16.3MiB live, 51.8MiB allocated
Counts
29 → 408
Calls
Call 1
Inputs
#s(alt (*.f64 #s(approx (cos 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 (/ (sinh 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 (*.f64 #s(approx (cos 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 (/ (sinh 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 (cos 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 (cos 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 (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (patch #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (cos x) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cos x) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (*.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) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (patch #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (cos x) #s(literal 1 binary64)) (patch #s(approx (cos x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh 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)))) (patch (*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh 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)))) #<representation binary64>) () ())
#s(alt #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (patch (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (sinh 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 (/ (sinh 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 #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 #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 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (patch #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) (patch (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (patch #s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (sinh 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))) (patch #s(approx (/ (sinh 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))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (patch (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (sinh y) y) (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) #<representation binary64>) () ())
Outputs
#s(alt (cos x) (taylor 0 y) (#s(alt (*.f64 #s(approx (cos 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 (/ (sinh 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 (*.f64 #s(approx (cos 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 (/ (sinh 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 (+ (cos x) (* 1/6 (* (pow y 2) (cos x)))) (taylor 0 y) (#s(alt (*.f64 #s(approx (cos 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 (/ (sinh 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 (*.f64 #s(approx (cos 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 (/ (sinh 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 (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))) (taylor 0 y) (#s(alt (*.f64 #s(approx (cos 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 (/ (sinh 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 (*.f64 #s(approx (cos 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 (/ (sinh 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 (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x))))))) (taylor 0 y) (#s(alt (*.f64 #s(approx (cos 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 (/ (sinh 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 (*.f64 #s(approx (cos 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 (/ (sinh 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 (cos x) (taylor 0 y) (#s(alt #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (patch #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (cos x) (* 1/6 (* (pow y 2) (cos x)))) (taylor 0 y) (#s(alt #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (patch #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))) (taylor 0 y) (#s(alt #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (patch #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x))))))) (taylor 0 y) (#s(alt #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (patch #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor 0 y) (#s(alt (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (cos x) (* 1/6 (* (pow y 2) (cos x)))) (taylor 0 y) (#s(alt (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))) (taylor 0 y) (#s(alt (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x))))))) (taylor 0 y) (#s(alt (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/6 (pow y 2))) (taylor 0 y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (taylor 0 y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) (taylor 0 y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* -1/720 (pow x 4)) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (patch #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (patch #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4))))) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (patch #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4))))) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (patch #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt #s(approx (cos x) #s(literal 1 binary64)) (patch #s(approx (cos x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt #s(approx (cos x) #s(literal 1 binary64)) (patch #s(approx (cos x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt #s(approx (cos x) #s(literal 1 binary64)) (patch #s(approx (cos x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt #s(approx (cos x) #s(literal 1 binary64)) (patch #s(approx (cos x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh 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)))) (patch (*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh 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)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh 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)))) (patch (*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh 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)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh 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)))) (patch (*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh 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)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh 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)))) (patch (*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh 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)))) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cos 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 (pow x 2)) 1/2)) (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 (pow x 2)) 1/2)) (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 (pow x 2)) 1/2)) (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) (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 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #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) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) (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) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) (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) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) (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
5.0ms
x
@0
((* (cos x) (/ (sinh y) y)) (cos x) (+ (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* x x)) 1) (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* x x)) 1) (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* (cos x) (/ (sinh y) y)) (cos x) (/ (sinh y) y) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* -1/2 (* x x)) 1) (* x x) (+ (* (* (+ (* (* y y) 1/5040) 1/120) y) y) 1/6) (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* 1/5040 (* y y)) 1/120) (+ (* -1/720 (* x x)) 1/24) (+ (* 1/120 (* y y)) 1/6) (* 1/120 (* y y)) (+ (* 1/5040 (* y y)) 1/120) (/ (sinh y) y) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (/ (sinh y) y) (+ (* (* y y) 1/5040) 1/120) (* (+ (* (* y y) 1/5040) 1/120) y))
3.0ms
y
@-inf
((* (cos x) (/ (sinh y) y)) (cos x) (+ (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* x x)) 1) (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* x x)) 1) (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* (cos x) (/ (sinh y) y)) (cos x) (/ (sinh y) y) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* -1/2 (* x x)) 1) (* x x) (+ (* (* (+ (* (* y y) 1/5040) 1/120) y) y) 1/6) (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* 1/5040 (* y y)) 1/120) (+ (* -1/720 (* x x)) 1/24) (+ (* 1/120 (* y y)) 1/6) (* 1/120 (* y y)) (+ (* 1/5040 (* y y)) 1/120) (/ (sinh y) y) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (/ (sinh y) y) (+ (* (* y y) 1/5040) 1/120) (* (+ (* (* y y) 1/5040) 1/120) y))
2.0ms
y
@inf
((* (cos x) (/ (sinh y) y)) (cos x) (+ (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* x x)) 1) (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* x x)) 1) (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* (cos x) (/ (sinh y) y)) (cos x) (/ (sinh y) y) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* -1/2 (* x x)) 1) (* x x) (+ (* (* (+ (* (* y y) 1/5040) 1/120) y) y) 1/6) (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* 1/5040 (* y y)) 1/120) (+ (* -1/720 (* x x)) 1/24) (+ (* 1/120 (* y y)) 1/6) (* 1/120 (* y y)) (+ (* 1/5040 (* y y)) 1/120) (/ (sinh y) y) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (/ (sinh y) y) (+ (* (* y y) 1/5040) 1/120) (* (+ (* (* y y) 1/5040) 1/120) y))
2.0ms
x
@inf
((* (cos x) (/ (sinh y) y)) (cos x) (+ (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* x x)) 1) (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* x x)) 1) (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* (cos x) (/ (sinh y) y)) (cos x) (/ (sinh y) y) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* -1/2 (* x x)) 1) (* x x) (+ (* (* (+ (* (* y y) 1/5040) 1/120) y) y) 1/6) (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* 1/5040 (* y y)) 1/120) (+ (* -1/720 (* x x)) 1/24) (+ (* 1/120 (* y y)) 1/6) (* 1/120 (* y y)) (+ (* 1/5040 (* y y)) 1/120) (/ (sinh y) y) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (/ (sinh y) y) (+ (* (* y y) 1/5040) 1/120) (* (+ (* (* y y) 1/5040) 1/120) y))
2.0ms
x
@-inf
((* (cos x) (/ (sinh y) y)) (cos x) (+ (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* x x)) 1) (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* x x)) 1) (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* (cos x) (/ (sinh y) y)) (cos x) (/ (sinh y) y) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* -1/2 (* x x)) 1) (* x x) (+ (* (* (+ (* (* y y) 1/5040) 1/120) y) y) 1/6) (* (cos x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* 1/5040 (* y y)) 1/120) (+ (* -1/720 (* x x)) 1/24) (+ (* 1/120 (* y y)) 1/6) (* 1/120 (* y y)) (+ (* 1/5040 (* y y)) 1/120) (/ (sinh y) y) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (/ (sinh y) y) (+ (* (* y y) 1/5040) 1/120) (* (+ (* (* y y) 1/5040) 1/120) y))

simplify212.0ms (2.4%)

Memory
2.4MiB live, 274.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01304264
13644229
210204039
326913983
457823963
086843709
Stop Event
iter limit
node limit
Counts
408 → 408
Calls
Call 1
Inputs
(cos x)
(+ (cos x) (* 1/6 (* (pow y 2) (cos x))))
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))
(cos x)
(+ (cos x) (* 1/6 (* (pow y 2) (cos x))))
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))
(cos x)
(+ (cos x) (* 1/6 (* (pow y 2) (cos x))))
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(cos x)
(+ (cos x) (* 1/6 (* (pow y 2) (cos x))))
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))
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)))))
(cos x)
(+ (cos x) (* 1/6 (* (pow y 2) (cos x))))
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
1/120
(+ 1/120 (* 1/5040 (pow y 2)))
(+ 1/120 (* 1/5040 (pow y 2)))
(+ 1/120 (* 1/5040 (pow y 2)))
1/6
(+ 1/6 (* 1/120 (pow y 2)))
(+ 1/6 (* 1/120 (pow y 2)))
(+ 1/6 (* 1/120 (pow y 2)))
(* 1/120 (pow y 2))
(* 1/120 (pow y 2))
(* 1/120 (pow y 2))
(* 1/120 (pow y 2))
1/120
(+ 1/120 (* 1/5040 (pow y 2)))
(+ 1/120 (* 1/5040 (pow y 2)))
(+ 1/120 (* 1/5040 (pow y 2)))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (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
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
1/120
(+ 1/120 (* 1/5040 (pow y 2)))
(+ 1/120 (* 1/5040 (pow y 2)))
(+ 1/120 (* 1/5040 (pow y 2)))
(* 1/120 y)
(* y (+ 1/120 (* 1/5040 (pow y 2))))
(* y (+ 1/120 (* 1/5040 (pow y 2))))
(* y (+ 1/120 (* 1/5040 (pow y 2))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/120 (pow y 4))
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/5040 (pow y 4))
(* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/5040 (pow y 2))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* 1/120 (pow y 2))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* 1/120 (pow y 2))
(* 1/120 (pow y 2))
(* 1/120 (pow y 2))
(* 1/120 (pow y 2))
(* 1/5040 (pow y 2))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/5040 (pow y 4))
(* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/5040 (pow y 2))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* 1/5040 (pow y 3))
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/120 (pow y 4))
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/5040 (pow y 4))
(* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/5040 (pow y 2))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* 1/120 (pow y 2))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* 1/120 (pow y 2))
(* 1/120 (pow y 2))
(* 1/120 (pow y 2))
(* 1/120 (pow y 2))
(* 1/5040 (pow y 2))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/5040 (pow y 4))
(* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/5040 (pow y 2))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* 1/5040 (pow y 3))
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 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)))) 1/2)
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 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)))) 1/2)
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
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)
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))
1/24
(+ 1/24 (* -1/720 (pow x 2)))
(+ 1/24 (* -1/720 (pow x 2)))
(+ 1/24 (* -1/720 (pow x 2)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(cos x)
(cos x)
(cos x)
(cos x)
(* -1/720 (pow x 6))
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* -1/720 (pow x 4))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(cos x)
(cos x)
(cos x)
(cos x)
(* -1/720 (pow x 6))
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* -1/720 (pow x 4))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(cos x)
(cos x)
(cos x)
(cos x)
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(cos x)
(cos x)
(cos x)
(cos x)
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* -1/720 (pow x 2))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(cos x)
(cos x)
(cos x)
(cos x)
(* -1/720 (pow x 6))
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* -1/720 (pow x 4))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(cos x)
(cos x)
(cos x)
(cos x)
(* -1/720 (pow x 6))
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* -1/720 (pow x 4))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(cos x)
(cos x)
(cos x)
(cos x)
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(cos x)
(cos x)
(cos x)
(cos x)
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* -1/720 (pow x 2))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
Outputs
(cos x)
(cos.f64 x)
(+ (cos x) (* 1/6 (* (pow y 2) (cos x))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (cos.f64 x))
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (cos.f64 x))
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))
(*.f64 (cos.f64 x) (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)))
(cos x)
(cos.f64 x)
(+ (cos x) (* 1/6 (* (pow y 2) (cos x))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (cos.f64 x))
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (cos.f64 x))
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))
(*.f64 (cos.f64 x) (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)))
(cos x)
(cos.f64 x)
(+ (cos x) (* 1/6 (* (pow y 2) (cos x))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (cos.f64 x))
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (cos.f64 x))
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))
(*.f64 (cos.f64 x) (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)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(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) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(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)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(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) (+ 1/6 (* 1/120 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(cos x)
(cos.f64 x)
(+ (cos x) (* 1/6 (* (pow y 2) (cos x))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (cos.f64 x))
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (cos.f64 x))
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))
(*.f64 (cos.f64 x) (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)))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/120 (pow y 2)))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))
(+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))
(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))
(+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))
(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))
(cos x)
(cos.f64 x)
(+ (cos x) (* 1/6 (* (pow y 2) (cos x))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (cos.f64 x))
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (cos.f64 x))
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))
(*.f64 (cos.f64 x) (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)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(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) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(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))
1/120
#s(literal 1/120 binary64)
(+ 1/120 (* 1/5040 (pow y 2)))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
(+ 1/120 (* 1/5040 (pow y 2)))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
(+ 1/120 (* 1/5040 (pow y 2)))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/120 (pow y 2)))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))
(+ 1/6 (* 1/120 (pow y 2)))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))
(+ 1/6 (* 1/120 (pow y 2)))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))
(* 1/120 (pow y 2))
(*.f64 (*.f64 #s(literal 1/120 binary64) y) y)
(* 1/120 (pow y 2))
(*.f64 (*.f64 #s(literal 1/120 binary64) y) y)
(* 1/120 (pow y 2))
(*.f64 (*.f64 #s(literal 1/120 binary64) y) y)
(* 1/120 (pow y 2))
(*.f64 (*.f64 #s(literal 1/120 binary64) y) y)
1/120
#s(literal 1/120 binary64)
(+ 1/120 (* 1/5040 (pow y 2)))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
(+ 1/120 (* 1/5040 (pow y 2)))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
(+ 1/120 (* 1/5040 (pow y 2)))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(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) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(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))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/120 (pow y 2)))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))
(+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))
(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))
(+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))
(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))
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(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) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(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))
1/120
#s(literal 1/120 binary64)
(+ 1/120 (* 1/5040 (pow y 2)))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
(+ 1/120 (* 1/5040 (pow y 2)))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
(+ 1/120 (* 1/5040 (pow y 2)))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
(* 1/120 y)
(*.f64 #s(literal 1/120 binary64) y)
(* y (+ 1/120 (* 1/5040 (pow y 2))))
(*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y)
(* y (+ 1/120 (* 1/5040 (pow y 2))))
(*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y)
(* y (+ 1/120 (* 1/5040 (pow y 2))))
(*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y)
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) #s(literal 1/2 binary64))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) #s(literal 1/2 binary64))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) #s(literal 1/2 binary64))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) #s(literal 1/2 binary64))
(* 1/120 (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64))
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y)
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/5040 (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/5040 binary64))
(* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(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))
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(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))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
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#s(literal -1/2 binary64)
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1
#s(literal 1 binary64)
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1
#s(literal 1 binary64)
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#s(literal -1/2 binary64)
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#s(literal 1 binary64)
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1
#s(literal 1 binary64)
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1
#s(literal 1 binary64)
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1/24
#s(literal 1/24 binary64)
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(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
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(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
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(cos x)
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(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(*.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) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
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(* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4)))))
(fma.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #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))
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(fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (*.f64 (-.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (*.f64 (-.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
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(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(cos x)
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(cos x)
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(cos x)
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(cos x)
(cos.f64 x)
(* -1/720 (pow x 6))
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(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(*.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) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(*.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4)))))
(fma.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #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))
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(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (*.f64 (-.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
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(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
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(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
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(cos x)
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(cos x)
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(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
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(* -1/720 (pow x 2))
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(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))

rewrite158.0ms (1.8%)

Memory
15.5MiB live, 206.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058467
096464
1360464
22064464
08129460
Stop Event
iter limit
node limit
iter limit
Counts
29 → 357
Calls
Call 1
Inputs
(*.f64 #s(approx (cos 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 (/ (sinh 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 (cos 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 (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
#s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
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#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
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#s(approx (/ (sinh 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 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
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#s(approx (/ (sinh y) y) (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
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Outputs
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eval338.0ms (3.9%)

Memory
-30.4MiB live, 297.0MiB allocated
Compiler

Compiled 26 683 to 2 302 computations (91.4% saved)

prune45.0ms (0.5%)

Memory
9.8MiB live, 97.6MiB allocated
Pruning

28 alts after pruning (22 fresh and 6 done)

PrunedKeptTotal
New90012912
Fresh61016
Picked325
Done044
Total90928937
Accuracy
100.0%
Counts
937 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.9%
(*.f64 (cos.f64 x) (/.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (/ 1/2 (sinh y)) (/.f64 #s(literal 1/2 binary64) y))) y))
60.9%
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #s(approx (cos 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))))
58.4%
(*.f64 #s(approx (cos 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 (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
55.8%
(*.f64 #s(approx (cos 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 (/ (sinh 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))))
54.0%
(*.f64 #s(approx (cos 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 (/ (sinh 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))))
55.8%
(*.f64 #s(approx (cos 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 (/ (sinh y) y) (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
53.6%
(*.f64 #s(approx (cos 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 (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
60.9%
(*.f64 #s(approx (cos 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 (/ (sinh 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))))
60.7%
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y #s(literal 1/5040 binary64)) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
60.7%
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/5040 binary64)) y #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
53.9%
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
60.3%
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)) (*.f64 y y) #s(literal 1 binary64))))
57.7%
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
57.2%
(*.f64 #s(approx (cos x) #s(approx (+ (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh 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))))
17.0%
(*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (/.f64 (sinh.f64 y) y))
57.2%
(*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
61.7%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
54.3%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
54.3%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh 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))))
48.7%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
54.0%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
27.1%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y))))
21.5%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
53.1%
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
39.7%
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos 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))))
34.3%
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos 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))))
34.6%
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
30.0%
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))
Compiler

Compiled 1 460 to 543 computations (62.8% saved)

regimes99.0ms (1.1%)

Memory
4.5MiB live, 80.5MiB allocated
Counts
49 → 1
Calls
Call 1
Inputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos 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 (* (cos x) (/ (sinh y) y)) #s(approx (cos 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 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh 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 (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos 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 (* (cos x) (/ (sinh y) y)) #s(approx (cos 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 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh 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 (cos x) #s(approx (+ (* -1/2 (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh 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 (cos x) #s(approx (+ (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh 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 (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh 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 (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh 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 (cos x) #s(approx (+ (* -1/2 (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh 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))))
(*.f64 #s(approx (cos 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 (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh 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 (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y #s(literal 1/5040 binary64)) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos 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 (/ (sinh 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 (cos 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 (/ (sinh 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 (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/5040 binary64)) y #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos 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 (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos 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 (/ (sinh 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 (cos 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 (/ (sinh 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 (cos 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 (/ (sinh 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 (cos 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 (/ (sinh y) y) (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos 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 (/ (sinh 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 (cos 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 (/ (sinh 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 (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #s(approx (cos 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 (* (cos x) (/ (sinh y) y)) (cos.f64 x))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (/.f64 (sinh.f64 y) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y))
(*.f64 (cos.f64 x) #s(approx (/ (sinh 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 (cos.f64 x) (/.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (/ 1/2 (sinh y)) (/.f64 #s(literal 1/2 binary64) y))) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (cos.f64 x) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) y))
Outputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Calls

5 calls:

41.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
14.0ms
x
14.0ms
y
14.0ms
(cos.f64 x)
13.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
100.0%1(cos.f64 x)
100.0%1(/.f64 (sinh.f64 y) y)
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes403.0ms (4.6%)

Memory
-23.3MiB live, 91.0MiB allocated
Counts
47 → 3
Calls
Call 1
Inputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos 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 (* (cos x) (/ (sinh y) y)) #s(approx (cos 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 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh 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 (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos 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 (* (cos x) (/ (sinh y) y)) #s(approx (cos 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 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh 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 (cos x) #s(approx (+ (* -1/2 (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh 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 (cos x) #s(approx (+ (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh 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 (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh 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 (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh 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 (cos x) #s(approx (+ (* -1/2 (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh 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))))
(*.f64 #s(approx (cos 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 (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh 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 (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y #s(literal 1/5040 binary64)) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos 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 (/ (sinh 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 (cos 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 (/ (sinh 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 (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/5040 binary64)) y #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos 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 (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos 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 (/ (sinh 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 (cos 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 (/ (sinh 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 (cos 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 (/ (sinh 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 (cos 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 (/ (sinh y) y) (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos 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 (/ (sinh 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 (cos 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 (/ (sinh 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 (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #s(approx (cos 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 (* (cos x) (/ (sinh y) y)) (cos.f64 x))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (/.f64 (sinh.f64 y) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y))
(*.f64 (cos.f64 x) #s(approx (/ (sinh 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 (cos.f64 x) (/.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (/ 1/2 (sinh y)) (/.f64 #s(literal 1/2 binary64) y))) y))
Outputs
(*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (/.f64 (sinh.f64 y) y))
(*.f64 (cos.f64 x) #s(approx (/ (sinh 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 (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
Calls

5 calls:

169.0ms
(/.f64 (sinh.f64 y) y)
18.0ms
y
14.0ms
x
13.0ms
(cos.f64 x)
12.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
96.3%2x
98.4%3y
100.0%3(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
96.3%2(cos.f64 x)
93.3%1(/.f64 (sinh.f64 y) y)
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes14.0ms (0.2%)

Memory
21.5MiB live, 21.5MiB allocated
Counts
45 → 3
Calls
Call 1
Inputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos 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 (* (cos x) (/ (sinh y) y)) #s(approx (cos 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 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh 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 (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos 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 (* (cos x) (/ (sinh y) y)) #s(approx (cos 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 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh 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 (cos x) #s(approx (+ (* -1/2 (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh 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 (cos x) #s(approx (+ (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh 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 (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh 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 (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh 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 (cos x) #s(approx (+ (* -1/2 (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh 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))))
(*.f64 #s(approx (cos 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 (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh 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 (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y #s(literal 1/5040 binary64)) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos 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 (/ (sinh 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 (cos 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 (/ (sinh 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 (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/5040 binary64)) y #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos 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 (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos 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 (/ (sinh 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 (cos 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 (/ (sinh 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 (cos 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 (/ (sinh 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 (cos 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 (/ (sinh y) y) (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos 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 (/ (sinh 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 (cos 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 (/ (sinh 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 (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #s(approx (cos 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 (* (cos x) (/ (sinh y) y)) (cos.f64 x))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (/.f64 (sinh.f64 y) y))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y))
Outputs
(*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (/.f64 (sinh.f64 y) y))
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
Calls

1 calls:

11.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
100.0%3(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes18.0ms (0.2%)

Memory
-21.6MiB live, 16.9MiB allocated
Counts
43 → 3
Calls
Call 1
Inputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos 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 (* (cos x) (/ (sinh y) y)) #s(approx (cos 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 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh 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 (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos 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 (* (cos x) (/ (sinh y) y)) #s(approx (cos 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 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh 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 (cos x) #s(approx (+ (* -1/2 (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh 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 (cos x) #s(approx (+ (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh 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 (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh 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 (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh 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 (cos x) #s(approx (+ (* -1/2 (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh 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))))
(*.f64 #s(approx (cos 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 (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh 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 (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y #s(literal 1/5040 binary64)) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos 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 (/ (sinh 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 (cos 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 (/ (sinh 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 (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/5040 binary64)) y #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos 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 (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos 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 (/ (sinh 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 (cos 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 (/ (sinh 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 (cos 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 (/ (sinh 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 (cos 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 (/ (sinh y) y) (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos 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 (/ (sinh 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 (cos 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 (/ (sinh 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 (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #s(approx (cos 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 (* (cos x) (/ (sinh y) y)) (cos.f64 x))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (cos 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 (/ (sinh 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 (* (cos x) (/ (sinh y) y)) (cos.f64 x))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
Calls

1 calls:

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

Compiled 7 to 6 computations (14.3% saved)

regimes61.0ms (0.7%)

Memory
11.2MiB live, 57.1MiB allocated
Counts
41 → 3
Calls
Call 1
Inputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos 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 (* (cos x) (/ (sinh y) y)) #s(approx (cos 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 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh 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 (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos 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 (* (cos x) (/ (sinh y) y)) #s(approx (cos 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 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh 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 (cos x) #s(approx (+ (* -1/2 (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh 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 (cos x) #s(approx (+ (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh 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 (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh 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 (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh 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 (cos x) #s(approx (+ (* -1/2 (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh 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))))
(*.f64 #s(approx (cos 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 (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh 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 (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y #s(literal 1/5040 binary64)) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos 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 (/ (sinh 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 (cos 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 (/ (sinh 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 (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/5040 binary64)) y #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos 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 (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos 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 (/ (sinh 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 (cos 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 (/ (sinh 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 (cos 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 (/ (sinh 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 (cos 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 (/ (sinh y) y) (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos 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 (/ (sinh 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 (cos 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 (/ (sinh 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 (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #s(approx (cos 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 (* (cos x) (/ (sinh y) y)) (cos.f64 x))
Outputs
(*.f64 #s(approx (cos 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 (/ (sinh 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 (* (cos x) (/ (sinh y) y)) (cos.f64 x))
(*.f64 #s(approx (cos 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 (/ (sinh 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))))
Calls

5 calls:

14.0ms
(cos.f64 x)
12.0ms
x
12.0ms
y
10.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
10.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
86.1%2(/.f64 (sinh.f64 y) y)
73.9%3x
76.2%3(cos.f64 x)
86.1%2y
96.3%3(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes64.0ms (0.7%)

Memory
20.4MiB live, 58.1MiB allocated
Counts
40 → 2
Calls
Call 1
Inputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos 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 (* (cos x) (/ (sinh y) y)) #s(approx (cos 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 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh 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 (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos 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 (* (cos x) (/ (sinh y) y)) #s(approx (cos 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 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh 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 (cos x) #s(approx (+ (* -1/2 (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh 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 (cos x) #s(approx (+ (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh 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 (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh 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 (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh 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 (cos x) #s(approx (+ (* -1/2 (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh 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))))
(*.f64 #s(approx (cos 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 (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh 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 (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y #s(literal 1/5040 binary64)) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos 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 (/ (sinh 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 (cos 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 (/ (sinh 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 (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/5040 binary64)) y #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos 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 (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos 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 (/ (sinh 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 (cos 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 (/ (sinh 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 (cos 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 (/ (sinh 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 (cos 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 (/ (sinh y) y) (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos 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 (/ (sinh 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 (cos 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 (/ (sinh 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 (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #s(approx (cos 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))))
Outputs
(*.f64 #s(approx (cos 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 (/ (sinh 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 (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh 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))))
Calls

4 calls:

28.0ms
(/.f64 (sinh.f64 y) y)
12.0ms
y
11.0ms
(cos.f64 x)
10.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
72.7%2(cos.f64 x)
63.5%2y
63.4%2(/.f64 (sinh.f64 y) y)
72.7%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 14 to 15 computations (-7.1% saved)

regimes40.0ms (0.5%)

Memory
-22.1MiB live, 50.9MiB allocated
Counts
37 → 2
Calls
Call 1
Inputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos 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 (* (cos x) (/ (sinh y) y)) #s(approx (cos 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 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh 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 (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos 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 (* (cos x) (/ (sinh y) y)) #s(approx (cos 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 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh 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 (cos x) #s(approx (+ (* -1/2 (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh 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 (cos x) #s(approx (+ (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh 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 (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh 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 (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh 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 (cos x) #s(approx (+ (* -1/2 (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh 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))))
(*.f64 #s(approx (cos 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 (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh 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 (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y #s(literal 1/5040 binary64)) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos 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 (/ (sinh 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 (cos 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 (/ (sinh 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 (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/5040 binary64)) y #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos 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 (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos 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 (/ (sinh 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 (cos 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 (/ (sinh 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 (cos 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 (/ (sinh 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 (cos 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 (/ (sinh y) y) (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh 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))))
Calls

2 calls:

25.0ms
(cos.f64 x)
13.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
72.5%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
72.5%2(cos.f64 x)
Compiler

Compiled 9 to 9 computations (0% saved)

regimes29.0ms (0.3%)

Memory
-9.6MiB live, 40.1MiB allocated
Counts
22 → 2
Calls
Call 1
Inputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos 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 (* (cos x) (/ (sinh y) y)) #s(approx (cos 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 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh 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 (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos 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 (* (cos x) (/ (sinh y) y)) #s(approx (cos 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 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh 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 (cos x) #s(approx (+ (* -1/2 (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh 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 (cos x) #s(approx (+ (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh 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 (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh 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 (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh 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 (cos x) #s(approx (+ (* -1/2 (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh 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))))
Calls

3 calls:

15.0ms
x
7.0ms
(cos.f64 x)
6.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
60.7%2x
71.8%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
71.8%2(cos.f64 x)
Compiler

Compiled 10 to 11 computations (-10% saved)

regimes11.0ms (0.1%)

Memory
20.3MiB live, 20.3MiB allocated
Counts
16 → 2
Calls
Call 1
Inputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos 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 (* (cos x) (/ (sinh y) y)) #s(approx (cos 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 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh 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 (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos 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 (* (cos x) (/ (sinh y) y)) #s(approx (cos 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 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh 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:

5.0ms
(cos.f64 x)
5.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
68.8%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
68.8%2(cos.f64 x)
Compiler

Compiled 9 to 9 computations (0% saved)

regimes13.0ms (0.2%)

Memory
-11.1MiB live, 24.9MiB allocated
Counts
15 → 2
Calls
Call 1
Inputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos 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 (* (cos x) (/ (sinh y) y)) #s(approx (cos 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 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh 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 (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos 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 (* (cos x) (/ (sinh y) y)) #s(approx (cos 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))))
Outputs
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh 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:

7.0ms
(cos.f64 x)
5.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
68.4%2(cos.f64 x)
68.4%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 9 to 9 computations (0% saved)

regimes18.0ms (0.2%)

Memory
-1.8MiB live, 36.2MiB allocated
Counts
12 → 2
Calls
Call 1
Inputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos 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 (* (cos x) (/ (sinh y) y)) #s(approx (cos 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 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh 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 (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
Outputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh 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

4 calls:

6.0ms
y
4.0ms
(cos.f64 x)
4.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
3.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
54.3%1(/.f64 (sinh.f64 y) y)
54.3%1y
62.1%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
62.1%2(cos.f64 x)
Compiler

Compiled 14 to 15 computations (-7.1% saved)

regimes8.0ms (0.1%)

Memory
12.6MiB live, 12.6MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos 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 (* (cos x) (/ (sinh y) y)) #s(approx (cos 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 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
Outputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
Calls

2 calls:

4.0ms
(cos.f64 x)
3.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
61.8%2(cos.f64 x)
61.8%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 9 to 9 computations (0% saved)

regimes11.0ms (0.1%)

Memory
18.2MiB live, 18.2MiB allocated
Counts
9 → 3
Calls
Call 1
Inputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos 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 (* (cos x) (/ (sinh y) y)) #s(approx (cos 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 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y))))
Outputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y))))
Calls

3 calls:

4.0ms
x
3.0ms
(cos.f64 x)
3.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
54.3%3x
56.5%2(cos.f64 x)
62.0%3(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 10 to 11 computations (-10% saved)

regimes28.0ms (0.3%)

Memory
-19.0MiB live, 18.6MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos 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 (* (cos x) (/ (sinh y) y)) #s(approx (cos 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))))
Outputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
Calls

2 calls:

24.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
3.0ms
(cos.f64 x)
Results
AccuracySegmentsBranch
56.5%2(cos.f64 x)
56.5%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 9 to 9 computations (0% saved)

regimes16.0ms (0.2%)

Memory
-16.9MiB live, 23.6MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
Outputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
Calls

4 calls:

8.0ms
(/.f64 (sinh.f64 y) y)
3.0ms
(cos.f64 x)
2.0ms
y
2.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
48.4%2(/.f64 (sinh.f64 y) y)
51.7%3y
56.2%3(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
42.0%3(cos.f64 x)
Compiler

Compiled 14 to 15 computations (-7.1% saved)

regimes9.0ms (0.1%)

Memory
23.2MiB live, 23.2MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
Outputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))
Calls

5 calls:

2.0ms
x
2.0ms
y
2.0ms
(cos.f64 x)
2.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
1.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
37.7%2(cos.f64 x)
37.0%2(/.f64 (sinh.f64 y) y)
37.1%2y
34.6%1x
37.7%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes10.0ms (0.1%)

Memory
-18.6MiB live, 18.1MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))
Outputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))
Calls

5 calls:

4.0ms
x
1.0ms
(cos.f64 x)
1.0ms
y
1.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
1.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
30.0%1x
30.0%1(/.f64 (sinh.f64 y) y)
30.0%1y
30.0%1(cos.f64 x)
30.0%1(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 15 to 17 computations (-13.3% saved)

bsearch1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.000021681337335
+inf
0.0ms
-inf
-0.9984808834508837
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
0.99989366517186
1.0
0.0ms
-inf
-0.9984808834508837
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.99989366517186
1.0
0.0ms
-inf
-0.9984808834508837
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.99989366517186
1.0
0.0ms
-inf
-0.9984808834508837
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
-0.06455427315477492
0.01013080140584864
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.03861304538659104
0.01013080140584864
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.03861304538659104
0.01013080140584864
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.06455427315477492
0.01013080140584864
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.06455427315477492
0.01013080140584864
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.06455427315477492
0.01013080140584864
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.06455427315477492
0.01013080140584864
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.000021681337335
+inf
0.0ms
-0.06455427315477492
0.01013080140584864
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.03861304538659104
0.01013080140584864
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
1.000021681337335
+inf
0.0ms
-0.06455427315477492
0.01013080140584864
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.06455427315477492
0.01013080140584864
Compiler

Compiled 10 to 11 computations (-10% saved)

simplify34.0ms (0.4%)

Memory
27.4MiB live, 99.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01271050
11551050
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (/.f64 (sinh.f64 y) y)) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2 binary64)) (*.f64 (cos.f64 x) #s(approx (/ (sinh 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 (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))))
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (/.f64 (sinh.f64 y) y)) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1125780184469527/1125899906842624 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x)) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))))
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (cos 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 (/ (sinh 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 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1125780184469527/1125899906842624 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x)) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))))
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (cos 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 (/ (sinh 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 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1125780184469527/1125899906842624 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x)) (*.f64 #s(approx (cos 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 (/ (sinh 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 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 #s(approx (cos 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 (/ (sinh 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 (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh 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 (cos.f64 x) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh 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 (cos.f64 x) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh 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 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh 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 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh 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 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh 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 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))))
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2 binary64)) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y))))))
(if (<=.f64 (cos.f64 x) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))))
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))))
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))
Outputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (/.f64 (sinh.f64 y) y)) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2 binary64)) (*.f64 (cos.f64 x) #s(approx (/ (sinh 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 (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))))
(if (<=.f64 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (/.f64 (sinh.f64 y) y)) (if (<=.f64 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x)) #s(literal 2 binary64)) (*.f64 #s(approx (/ (sinh 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))) (cos.f64 x)) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))))
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (/.f64 (sinh.f64 y) y)) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1125780184469527/1125899906842624 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x)) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))))
(if (<=.f64 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (/.f64 (sinh.f64 y) y)) (if (<=.f64 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x)) #s(literal 1125780184469527/1125899906842624 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x)) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))))
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (cos 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 (/ (sinh 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 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1125780184469527/1125899906842624 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x)) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))))
(if (<=.f64 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (cos 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 (/ (sinh 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 (/.f64 (sinh.f64 y) y) (cos.f64 x)) #s(literal 1125780184469527/1125899906842624 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x)) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))))
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (cos 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 (/ (sinh 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 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1125780184469527/1125899906842624 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x)) (*.f64 #s(approx (cos 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 (/ (sinh 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 (/.f64 (sinh.f64 y) y) (cos.f64 x)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (cos 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 (/ (sinh 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 (/.f64 (sinh.f64 y) y) (cos.f64 x)) #s(literal 1125780184469527/1125899906842624 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x)) (*.f64 #s(approx (cos 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 (/ (sinh 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 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 #s(approx (cos 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 (/ (sinh 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 (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh 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 (/.f64 (sinh.f64 y) y) (cos.f64 x)) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 #s(approx (cos 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 (/ (sinh 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 (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh 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)))))
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#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))

soundness2.2s (25.3%)

Memory
-0.1MiB live, 1 201.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036272
061272
1242272
21675272
08499272
01113080
12953045
28772843
327972803
459652803
084812671
084686
1241679
2744635
32418627
45284623
57975623
08399593
01304264
13644229
210204039
326913983
457823963
086843709
01263492
13513457
29863267
326723219
460903199
082233009
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 1 471 to 715 computations (51.4% saved)

preprocess234.0ms (2.7%)

Memory
-27.1MiB live, 283.2MiB allocated
Remove

(abs x)

(abs y)

Compiler

Compiled 1 912 to 462 computations (75.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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