Linear.Quaternion:$csin from linear-1.19.1.3

Time bar (total: 8.6s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze14.0ms (0.2%)

Memory
17.5MiB live, 17.4MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
93.8%93.7%6.2%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
96.9%96.8%3.1%0.1%0%0%0%12
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.5s (17%)

Memory
3.3MiB live, 1 114.8MiB allocated
Samples
1.1s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 711.0ms
ival-cos: 407.0ms (57.2% of total)
ival-div: 185.0ms (26% of total)
ival-sinh: 65.0ms (9.1% of total)
ival-mult: 46.0ms (6.5% of total)
ival-true: 6.0ms (0.8% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain70.0ms (0.8%)

Memory
13.8MiB live, 175.3MiB 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
36.0ms512×0valid
Compiler

Compiled 45 to 22 computations (51.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-cos: 11.0ms (47.7% of total)
ival-sinh: 5.0ms (21.7% of total)
ival-div: 4.0ms (17.3% of total)
ival-mult: 3.0ms (13% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess356.0ms (4.1%)

Memory
-26.4MiB live, 169.0MiB allocated
Algorithm
1×egg-herbie
Rules
2 656×lower-fma.f64
2 656×lower-fma.f32
1 792×lower-*.f32
1 790×lower-*.f64
1 304×div-sub
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
1×iter limit
1×saturated
1×iter limit
1×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
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (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)

simplify317.0ms (3.7%)

Memory
11.0MiB live, 130.9MiB allocated
Algorithm
1×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))
Rules
2 656×lower-fma.f64
2 656×lower-fma.f32
1 792×lower-*.f32
1 790×lower-*.f64
1 194×div-sub
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
1×iter limit
1×saturated
1×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
22.5MiB live, 58.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(sinh.f64 y)
accuracy0
(cos.f64 x)
accuracy0.00390625
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
accuracy0.0078125
(/.f64 (sinh.f64 y) y)
Samples
19.0ms256×0valid
Compiler

Compiled 19 to 8 computations (57.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-cos: 5.0ms (50.8% of total)
ival-div: 2.0ms (20.3% of total)
ival-mult: 1.0ms (10.2% of total)
ival-sinh: 1.0ms (10.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series36.0ms (0.4%)

Memory
-16.0MiB live, 65.1MiB 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
27.0ms
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))

simplify168.0ms (2%)

Memory
18.0MiB live, 251.3MiB allocated
Algorithm
1×egg-herbie
Rules
14 270×lower-fma.f64
14 270×lower-fma.f32
5 594×lower-*.f64
5 594×lower-*.f32
2 458×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084686
1241679
2744635
32418627
45284623
57975623
08399593
Stop Event
1×iter limit
1×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)

rewrite209.0ms (2.4%)

Memory
-8.8MiB live, 314.9MiB allocated
Rules
5 128×lower-*.f32
5 126×lower-*.f64
4 518×lower-/.f32
4 516×lower-/.f64
1 718×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
01015
12615
212115
387015
0838415
Stop Event
1×iter limit
1×node limit
1×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
(*.f64 (/.f64 (*.f64 (neg.f64 (sinh.f64 y)) (cos.f64 x)) (neg.f64 (*.f64 y y))) y)
(*.f64 (/.f64 (*.f64 (neg.f64 (sinh.f64 y)) (cos.f64 x)) (neg.f64 (pow.f64 y #s(literal 3 binary64)))) (*.f64 y y))
(*.f64 (*.f64 (/.f64 (neg.f64 (cos.f64 x)) y) #s(literal 2 binary64)) (*.f64 (sinh.f64 y) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 (neg.f64 (cos.f64 x)) y) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal -1/2 binary64))
(*.f64 (*.f64 (/.f64 (cos.f64 x) y) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))
(*.f64 (*.f64 (/.f64 (cos.f64 x) y) (*.f64 #s(literal -2 binary64) (sinh.f64 y))) #s(literal -1/2 binary64))
(*.f64 (*.f64 (/.f64 (cos.f64 x) y) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
(*.f64 (*.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (*.f64 (cos.f64 x) (pow.f64 (/.f64 y (sinh.f64 y)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 y (sinh.f64 y)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (cos.f64 x) (/.f64 #s(literal 2 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
(*.f64 (*.f64 (neg.f64 (cos.f64 x)) (*.f64 #s(literal -2 binary64) (sinh.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (*.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64)) (/.f64 (sinh.f64 y) y))
(*.f64 (pow.f64 (/.f64 (/.f64 y (cos.f64 x)) (sinh.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 y (cos.f64 x)) (sinh.f64 y)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sinh.f64 y)))) (/.f64 (cos.f64 x) #s(literal -2 binary64)))
(*.f64 (/.f64 (*.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (*.f64 (cos.f64 x) #s(literal 2 binary64)) y) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
(*.f64 (/.f64 (/.f64 (cos.f64 x) y) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (sinh.f64 y)))
(*.f64 (/.f64 (/.f64 (cos.f64 x) y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))
(*.f64 (/.f64 (cos.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 y)) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))) (/.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 y))))
(*.f64 (/.f64 (cos.f64 x) (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64))))) (/.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 (exp.f64 y) (exp.f64 y) (-.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) #s(literal -1 binary64)))))
(*.f64 (/.f64 (cos.f64 x) (/.f64 #s(literal -1/2 binary64) (sinh.f64 y))) (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -2 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) #s(literal 2 binary64)) (sinh.f64 y)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) (sinh.f64 y)) y)) (/.f64 (cos.f64 x) #s(literal -2 binary64)))
(*.f64 (/.f64 (cos.f64 x) (*.f64 #s(literal 2 binary64) y)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))
(*.f64 (/.f64 (cos.f64 x) (*.f64 (/.f64 #s(literal -1/2 binary64) (sinh.f64 y)) y)) #s(literal -1/2 binary64))
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 y)) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))) (/.f64 (cos.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 y))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64))))) (/.f64 (cos.f64 x) (fma.f64 (exp.f64 y) (exp.f64 y) (-.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) #s(literal -1 binary64)))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (sinh.f64 y))) (/.f64 (cos.f64 x) #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 y)) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))) (/.f64 (/.f64 (cos.f64 x) y) (*.f64 #s(literal 2 binary64) (cosh.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64))))) (/.f64 (/.f64 (cos.f64 x) y) (fma.f64 (exp.f64 y) (exp.f64 y) (-.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) #s(literal -1 binary64)))))
(*.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) #s(literal 2 binary64)) (sinh.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 x) y)))
(*.f64 (/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 (*.f64 (/.f64 y (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 (/.f64 (neg.f64 (cos.f64 x)) y) (neg.f64 (sinh.f64 y)))
(*.f64 (*.f64 (*.f64 (cos.f64 x) #s(literal 2 binary64)) (/.f64 (sinh.f64 y) y)) #s(literal 1/2 binary64))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (/.f64 (sinh.f64 y) y)) (cos.f64 x)) #s(literal -1/2 binary64))
(*.f64 (*.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sinh.f64 y) y)))
(*.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 y)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 x) y))))
(*.f64 (*.f64 (neg.f64 (cos.f64 x)) (/.f64 (sinh.f64 y) y)) #s(literal -1 binary64))
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(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 y))) (*.f64 #s(literal 1/2 binary64) (exp.f64 y)))
(+.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)))) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)))
(+.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)))) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)))
(+.f64 (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 y))) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)))
(+.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (exp.f64 y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 y))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)))
(+.f64 #s(literal 0 binary64) (sinh.f64 y))
(+.f64 (sinh.f64 y) #s(literal 0 binary64))

eval118.0ms (1.4%)

Memory
5.2MiB live, 203.0MiB allocated
Compiler

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

prune94.0ms (1.1%)

Memory
-15.2MiB live, 260.7MiB 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
100.0%
(/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) y)
▶100.0%
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
▶71.4%
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
▶64.1%
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y))
▶62.2%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
▶49.7%
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
Compiler

Compiled 92 to 84 computations (8.7% saved)

simplify119.0ms (1.4%)

Memory
-9.0MiB live, 156.5MiB allocated
Algorithm
1×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
(sinh.f64 y)
cost-diff0
(/.f64 y (sinh.f64 y))
cost-diff0
(cos.f64 x)
cost-diff384
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
Rules
4 856×lower-fma.f32
4 852×lower-fma.f64
3 242×lower-*.f32
3 232×lower-*.f64
1 324×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025133
041133
169133
2103133
3174133
4359133
5694133
61749133
73809133
85275133
97393133
08062133
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
(cos.f64 x)
x
(/.f64 y (sinh.f64 y))
y
(sinh.f64 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 y (sinh.f64 y)))
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
(cos.f64 x)
x
(/.f64 y (sinh.f64 y))
y
(sinh.f64 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

localize91.0ms (1.1%)

Memory
31.8MiB live, 195.2MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0
(sinh.f64 y)
accuracy0.00390625
(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y))
accuracy0.0078125
(/.f64 (sinh.f64 y) y)
accuracy15.46177621443752
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
accuracy0
(cos.f64 x)
accuracy0.00390625
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
accuracy0.01171875
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
accuracy0.7174957230129395
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
accuracy0
(sinh.f64 y)
accuracy0.00390625
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
accuracy0.0078125
(/.f64 (sinh.f64 y) y)
accuracy14.375760900585394
#s(approx (cos x) #s(literal 1 binary64))
accuracy0
(cos.f64 x)
accuracy0.7282426410762597
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
accuracy0
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
accuracy0
(/.f64 y (sinh.f64 y))
accuracy0
(sinh.f64 y)
accuracy0
(cos.f64 x)
Samples
51.0ms129×2exit
23.0ms126×0valid
2.0ms1×5exit
Compiler

Compiled 102 to 19 computations (81.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-add: 13.0ms (25.6% of total)
ival-mult: 9.0ms (17.7% of total)
adjust: 8.0ms (15.7% of total)
ival-cos: 8.0ms (15.7% of total)
const: 7.0ms (13.8% of total)
ival-div: 4.0ms (7.9% of total)
ival-sinh: 1.0ms (2% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series18.0ms (0.2%)

Memory
-12.6MiB live, 28.5MiB allocated
Counts
15 → 240
Calls
Call 1
Inputs
#s(alt (/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y))) (patch (/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y))) #<representation binary64>) () ())
#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())
#s(alt (/.f64 y (sinh.f64 y)) (patch (/.f64 y (sinh.f64 y)) #<representation binary64>) () ())
#s(alt (sinh.f64 y) (patch (sinh.f64 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 (*.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>) () ())
Outputs
#s(alt (cos x) (taylor 0 y) (#s(alt (/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y))) (patch (/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (cos x) (* 1/6 (* (pow y 2) (cos x)))) (taylor 0 y) (#s(alt (/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y))) (patch (/.f64 (cos.f64 x) (/.f64 y (sinh.f64 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 y (sinh.f64 y))) (patch (/.f64 (cos.f64 x) (/.f64 y (sinh.f64 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 y (sinh.f64 y))) (patch (/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 y (sinh.f64 y)) (patch (/.f64 y (sinh.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/6 (pow y 2))) (taylor 0 y) (#s(alt (/.f64 y (sinh.f64 y)) (patch (/.f64 y (sinh.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (- (* 7/360 (pow y 2)) 1/6))) (taylor 0 y) (#s(alt (/.f64 y (sinh.f64 y)) (patch (/.f64 y (sinh.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 7/360 (* -31/15120 (pow y 2)))) 1/6))) (taylor 0 y) (#s(alt (/.f64 y (sinh.f64 y)) (patch (/.f64 y (sinh.f64 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 (cos x) (taylor 0 y) (#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 (+ (cos x) (* 1/6 (* (pow y 2) (cos x)))) (taylor 0 y) (#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 (+ (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)) (cos.f64 x)) (patch #s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x)) #<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)) (cos.f64 x)) (patch #s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor 0 y) (#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) (* 1/6 (* (pow y 2) (cos x)))) (taylor 0 y) (#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) (* (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)) (/.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) (* (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)) (/.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 (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 (cos x) (taylor 0 y) (#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 (+ (cos x) (* 1/6 (* (pow y 2) (cos x)))) (taylor 0 y) (#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>) () ())) ())
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#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>) () ())) ())
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#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 y (sinh.f64 y))) (patch (/.f64 (cos.f64 x) (/.f64 y (sinh.f64 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 y (sinh.f64 y))) (patch (/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y))) #<representation binary64>) () ())) ())
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#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
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#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>) () ())) ())
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#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>) () ())) ())
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#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>) () ())) ())
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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>) () ())) ())
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#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>) () ())) ())
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#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>) () ())) ())
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#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
2.0ms
y
@-inf
((/ (cos x) (/ y (sinh y))) (cos x) (/ y (sinh y)) (sinh y) (* (cos x) (/ (sinh y) y)) (* (cos x) (/ (sinh y) y)) (cos x) (/ (sinh y) 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))
2.0ms
y
@inf
((/ (cos x) (/ y (sinh y))) (cos x) (/ y (sinh y)) (sinh y) (* (cos x) (/ (sinh y) y)) (* (cos x) (/ (sinh y) y)) (cos x) (/ (sinh y) 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))
1.0ms
x
@inf
((/ (cos x) (/ y (sinh y))) (cos x) (/ y (sinh y)) (sinh y) (* (cos x) (/ (sinh y) y)) (* (cos x) (/ (sinh y) y)) (cos x) (/ (sinh y) 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))
1.0ms
x
@-inf
((/ (cos x) (/ y (sinh y))) (cos x) (/ y (sinh y)) (sinh y) (* (cos x) (/ (sinh y) y)) (* (cos x) (/ (sinh y) y)) (cos x) (/ (sinh y) 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))
1.0ms
y
@0
((/ (cos x) (/ y (sinh y))) (cos x) (/ y (sinh y)) (sinh y) (* (cos x) (/ (sinh y) y)) (* (cos x) (/ (sinh y) y)) (cos x) (/ (sinh y) 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))

simplify187.0ms (2.2%)

Memory
18.9MiB live, 245.4MiB allocated
Algorithm
1×egg-herbie
Rules
14 886×lower-fma.f64
14 886×lower-fma.f32
6 006×lower-*.f64
6 006×lower-*.f32
2 778×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01072822
12942787
28762591
328002551
459742551
084992431
Stop Event
1×iter limit
1×node limit
Counts
240 → 239
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) (- (* 7/360 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 7/360 (* -31/15120 (pow y 2)))) 1/6)))
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)))))))
(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)))))))
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 (/ (* (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))
(* 2 (/ y (- (exp y) (/ 1 (exp y)))))
(* 2 (/ y (- (exp y) (/ 1 (exp y)))))
(* 2 (/ y (- (exp y) (/ 1 (exp y)))))
(* 2 (/ y (- (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))))
(* 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 (/ (* (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 (/ (* (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))
(* 2 (/ y (- (exp y) (/ 1 (exp y)))))
(* 2 (/ y (- (exp y) (/ 1 (exp y)))))
(* 2 (/ y (- (exp y) (/ 1 (exp y)))))
(* 2 (/ y (- (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))))
(* 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 (/ (* (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))
(+ (* -1/4 (/ (* (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
(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 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 7/360 (pow y 2)) 1/6)))
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 7/360 (* -31/15120 (pow y 2)))) 1/6)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -31/15120 binary64) (*.f64 y y) #s(literal 7/360 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
y
(* y (+ 1 (* 1/6 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) y)
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 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 (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))
(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)))))
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(+ (* 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 (pow.f64 x #s(literal 4 binary64)) (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 #s(literal -1/1440 binary64) (*.f64 x x) #s(literal 1/48 binary64))) (*.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
#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 (/ (- (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 #s(literal 1/48 binary64) (*.f64 x x)) (*.f64 x x) (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)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 #s(literal -1/1440 binary64) (*.f64 x x) #s(literal 1/48 binary64))) (*.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))
(*.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 #s(literal 1/48 binary64) (*.f64 x x)) (*.f64 x x) (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)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 #s(literal -1/1440 binary64) (*.f64 x x) #s(literal 1/48 binary64))) (*.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
#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
#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 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* -1/2 (pow x 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 (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))))
(* 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))))
(* 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 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* (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 (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))))
(* 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))))
(* 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 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* (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)

rewrite234.0ms (2.7%)

Memory
-13.3MiB live, 282.7MiB allocated
Rules
5 456×lower-fma.f32
5 452×lower-fma.f64
4 826×lower-*.f32
4 816×lower-*.f64
2 782×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025105
041105
1108105
2578105
34657105
08377105
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
15 → 583
Calls
Call 1
Inputs
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
(cos.f64 x)
(/.f64 y (sinh.f64 y))
(sinh.f64 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)
(*.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)
Outputs
(*.f64 (/.f64 (/.f64 (cos.f64 x) y) #s(literal -1 binary64)) (neg.f64 (sinh.f64 y)))
(*.f64 (/.f64 (/.f64 (cos.f64 x) y) #s(literal 1 binary64)) (sinh.f64 y))
(*.f64 (/.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (/.f64 (neg.f64 (sinh.f64 y)) y))
(*.f64 (*.f64 (/.f64 (neg.f64 (cos.f64 x)) y) #s(literal -1 binary64)) (sinh.f64 y))
(*.f64 (*.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cos.f64 x)) y)) (neg.f64 (sinh.f64 y)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 y) (cos.f64 x))) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 y (cos.f64 x)) (sinh.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 y (cos.f64 x)) (sinh.f64 y)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (cos.f64 x) #s(literal -1 binary64)) (/.f64 (neg.f64 (sinh.f64 y)) y))
(*.f64 (/.f64 (cos.f64 x) (*.f64 y (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)))) #s(literal 1/2 binary64))
(*.f64 (/.f64 (cos.f64 x) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) #s(literal -1 binary64)) (/.f64 (cos.f64 x) #s(literal 2 binary64)))
(*.f64 (/.f64 (cos.f64 x) (/.f64 #s(literal -1 binary64) (sinh.f64 y))) (/.f64 #s(literal -1 binary64) y))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (/.f64 (neg.f64 (sinh.f64 y)) y))
(*.f64 (/.f64 (neg.f64 (cos.f64 x)) y) (neg.f64 (sinh.f64 y)))
(*.f64 (*.f64 (neg.f64 (cos.f64 x)) (sinh.f64 y)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (*.f64 (*.f64 (/.f64 (cos.f64 x) y) #s(literal 2 binary64)) (sinh.f64 y)) #s(literal 1/2 binary64))
(*.f64 (/.f64 (neg.f64 (sinh.f64 y)) y) (neg.f64 (cos.f64 x)))
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(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/64 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal -1/512 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/64 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/64 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/16 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/64 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal -1 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal -1/512 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/64 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))
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(neg.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
(neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))))
(fma.f64 (exp.f64 (log.f64 #s(literal -1/2 binary64))) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (exp.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) x))) x #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal -1 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) (neg.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)) x #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (/.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) x) (/.f64 x (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))
(fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (exp.f64 (log.f64 #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (exp.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64))
(fma.f64 x (*.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
(-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
(-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64)))) (pow.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64)))) (neg.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))))
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval131.0ms (1.5%)

Memory
2.1MiB live, 312.4MiB allocated
Compiler

Compiled 15 961 to 2 097 computations (86.9% saved)

prune181.0ms (2.1%)

Memory
-7.1MiB live, 320.2MiB allocated
Pruning

16 alts after pruning (13 fresh and 3 done)

PrunedKeptTotal
New1 049131 062
Fresh101
Picked235
Done000
Total1 052161 068
Accuracy
100.0%
Counts
1 068 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.7%
(/.f64 (cos.f64 x) #s(approx (/ y (sinh y)) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
▶62.2%
(/.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 y (sinh.f64 y)))
✓71.4%
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
▶46.4%
(*.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 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
60.4%
(*.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))))
57.5%
(*.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(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
47.7%
(*.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 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
✓62.2%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
58.5%
(*.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))))
55.2%
(*.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))))
43.5%
(*.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))))
✓49.7%
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
▶39.0%
#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))))
▶34.2%
#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))))
33.3%
#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))))
▶27.5%
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))
Compiler

Compiled 388 to 300 computations (22.7% saved)

simplify224.0ms (2.6%)

Memory
4.7MiB live, 123.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
cost-diff0
#s(approx (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)))
cost-diff0
(*.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 y y) #s(literal 1/6 binary64) #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
#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 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
cost-diff0
#s(approx (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)))
cost-diff0
#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))))
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
(sinh.f64 y)
cost-diff0
(/.f64 y (sinh.f64 y))
cost-diff0
#s(approx (cos x) #s(literal 1 binary64))
cost-diff384
(/.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 y (sinh.f64 y)))
Rules
5 840×lower-fma.f32
5 828×lower-fma.f64
2 856×lower-*.f32
2 850×lower-*.f64
1 312×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030271
048271
186271
2146271
3323271
4652271
51018271
61804271
73257271
84835271
96387271
107541271
08039271
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 y (sinh.f64 y)))
#s(approx (cos x) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 y (sinh.f64 y))
y
(sinh.f64 y)
#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)
#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) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
#s(literal 1/24 binary64)
(*.f64 x x)
x
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(approx (* (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)
(*.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 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#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)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
#s(literal 1/24 binary64)
(*.f64 x x)
x
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(approx (/ (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)
Outputs
(/.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 y (sinh.f64 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 y (sinh.f64 y))
y
(sinh.f64 y)
#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)
#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 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#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) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
#s(literal 1/24 binary64)
(*.f64 x x)
x
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(approx (* (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)
(*.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 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) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (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) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
#s(literal 1/24 binary64)
(*.f64 x x)
x
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(approx (/ (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)

localize325.0ms (3.8%)

Memory
-10.9MiB live, 225.2MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.02734375
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
accuracy0.046875
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
accuracy0.7174957230129395
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
accuracy15.435844134622064
#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)))
accuracy0.021816259768442016
(fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64))
accuracy0.0234375
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
accuracy0.7282426410762597
#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))))
accuracy15.406750144255097
#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)))
accuracy0.02734375
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
accuracy0.046875
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
accuracy0.7282426410762597
#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))))
accuracy15.435844134622064
#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)))
accuracy0.7282426410762597
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))
accuracy14.375760900585394
#s(approx (cos x) #s(literal 1 binary64))
accuracy0
(/.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 y (sinh.f64 y)))
accuracy0
(/.f64 y (sinh.f64 y))
accuracy0
(sinh.f64 y)
accuracy14.375760900585394
#s(approx (cos x) #s(literal 1 binary64))
Samples
195.0ms129×2exit
31.0ms126×0valid
2.0ms1×5exit
Compiler

Compiled 173 to 29 computations (83.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 200.0ms
ival-mult: 83.0ms (41.5% of total)
ival-add: 76.0ms (38% of total)
adjust: 13.0ms (6.5% of total)
const: 12.0ms (6% of total)
ival-cos: 10.0ms (5% of total)
ival-div: 4.0ms (2% of total)
ival-sinh: 1.0ms (0.5% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series19.0ms (0.2%)

Memory
0.3MiB live, 38.8MiB allocated
Counts
15 → 240
Calls
Call 1
Inputs
#s(alt (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 y (sinh.f64 y))) (patch (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 y (sinh.f64 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 y (sinh.f64 y)) (patch (/.f64 y (sinh.f64 y)) #<representation binary64>) () ())
#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<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) (/ (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)))) (patch #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)))) #<representation binary64>) () ())
#s(alt #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))) (patch #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))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #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 #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 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (patch (fma.f64 #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 (fma.f64 (fma.f64 #s(literal -1/720 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 (*.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 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) (patch (*.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 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>) () ())
Outputs
#s(alt (cos x) (taylor 0 y) (#s(alt (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 y (sinh.f64 y))) (patch (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 y (sinh.f64 y))) #<representation binary64>) () ())) ())
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#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>) () ())) ())
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#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>) () ())) ())
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#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 #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 #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 #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 #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 #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 #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) (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>) () ())) ())
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#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 (cos x) (taylor 0 y) (#s(alt (*.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 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) (patch (*.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 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
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#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 #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 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) (patch (*.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 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) (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 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) (patch (*.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 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (* 1/24 (/ 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 (* (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 (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.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 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) (patch (*.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 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 (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 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) (patch (*.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 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 (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 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) (patch (*.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 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 (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 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) (patch (*.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 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@inf
((/ (cos x) (/ y (sinh y))) (cos x) (/ y (sinh y)) (sinh y) (* (cos x) (/ (sinh y) y)) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) (+ (* 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)) (/ (sinh y) y))
2.0ms
y
@-inf
((/ (cos x) (/ y (sinh y))) (cos x) (/ y (sinh y)) (sinh y) (* (cos x) (/ (sinh y) y)) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) (+ (* 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)) (/ (sinh y) y))
1.0ms
x
@-inf
((/ (cos x) (/ y (sinh y))) (cos x) (/ y (sinh y)) (sinh y) (* (cos x) (/ (sinh y) y)) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) (+ (* 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)) (/ (sinh y) y))
1.0ms
y
@inf
((/ (cos x) (/ y (sinh y))) (cos x) (/ y (sinh y)) (sinh y) (* (cos x) (/ (sinh y) y)) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) (+ (* 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)) (/ (sinh y) y))
1.0ms
x
@0
((/ (cos x) (/ y (sinh y))) (cos x) (/ y (sinh y)) (sinh y) (* (cos x) (/ (sinh y) y)) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) (+ (* 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)) (/ (sinh y) y))

simplify169.0ms (2%)

Memory
18.6MiB live, 261.9MiB allocated
Algorithm
1×egg-herbie
Rules
13 460×lower-fma.f64
13 460×lower-fma.f32
5 784×lower-*.f64
5 784×lower-*.f32
3 110×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01313012
13472977
210012781
331352717
469202717
084702584
Stop Event
1×iter limit
1×node limit
Counts
240 → 239
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) (- (* 7/360 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 7/360 (* -31/15120 (pow y 2)))) 1/6)))
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)))))))
(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)))))))
(* 1/2 (/ (* (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))
(* 2 (/ y (- (exp y) (/ 1 (exp y)))))
(* 2 (/ y (- (exp y) (/ 1 (exp y)))))
(* 2 (/ y (- (exp y) (/ 1 (exp y)))))
(* 2 (/ y (- (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))))
(* 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 (/ (* (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))
(* 2 (/ y (- (exp y) (/ 1 (exp y)))))
(* 2 (/ y (- (exp y) (/ 1 (exp y)))))
(* 2 (/ y (- (exp y) (/ 1 (exp y)))))
(* 2 (/ y (- (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))))
(* 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 (/ (* (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))) 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 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
-1/2
(- (* 1/24 (pow x 2)) 1/2)
(- (* 1/24 (pow x 2)) 1/2)
(- (* 1/24 (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)))))))
(* 1/2 (/ (* (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)
(* 1/24 (pow x 4))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 2))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (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))
(* 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)
(* 1/24 (pow x 4))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 2))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (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))
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 (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 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 7/360 (pow y 2)) 1/6)))
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 7/360 (* -31/15120 (pow y 2)))) 1/6)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -31/15120 binary64) (*.f64 y y) #s(literal 7/360 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
y
(* y (+ 1 (* 1/6 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) y)
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 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 (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 (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 (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 (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 (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 (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 (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 (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))
(* 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))))
(* 2 (/ y (- (exp y) (/ 1 (exp y)))))
(*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) #s(literal 2 binary64))
(* 2 (/ y (- (exp y) (/ 1 (exp y)))))
(*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) #s(literal 2 binary64))
(* 2 (/ y (- (exp y) (/ 1 (exp y)))))
(*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) #s(literal 2 binary64))
(* 2 (/ y (- (exp y) (/ 1 (exp y)))))
(*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) #s(literal 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))))
(*.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 (/ (* (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 (/ (* (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 (/ (* (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 (/ (* (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))))
(* 2 (/ y (- (exp y) (/ 1 (exp y)))))
(*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) #s(literal 2 binary64))
(* 2 (/ y (- (exp y) (/ 1 (exp y)))))
(*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) #s(literal 2 binary64))
(* 2 (/ y (- (exp y) (/ 1 (exp y)))))
(*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) #s(literal 2 binary64))
(* 2 (/ y (- (exp y) (/ 1 (exp y)))))
(*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) #s(literal 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))))
(*.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 (/ (* (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 (/ (* (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 (/ (* (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))) y))
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(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))))
(* 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)
(* 1/24 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(* 1/24 (pow x 2))
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* 1/2 (/ (* (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)
(* -1/720 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/720 binary64))
(* (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))
(* -1/720 (pow x 4))
(*.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))))
(* 1/2 (/ (* (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))))

rewrite164.0ms (1.9%)

Memory
-27.5MiB live, 289.0MiB allocated
Rules
5 882×lower-fma.f32
5 870×lower-fma.f64
4 918×lower-*.f32
4 912×lower-*.f64
4 290×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030194
048194
1174194
21159194
08416194
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
15 → 334
Calls
Call 1
Inputs
(/.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 y (sinh.f64 y)))
#s(approx (cos x) #s(literal 1 binary64))
(/.f64 y (sinh.f64 y))
(sinh.f64 y)
#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 (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) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
#s(approx (* (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))
(*.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 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)))
Outputs
(*.f64 (pow.f64 (/.f64 (/.f64 y (sinh.f64 y)) #s(approx (cos x) #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 y (sinh.f64 y)) #s(approx (cos x) #s(literal 1 binary64))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (sinh.f64 y)) y))
(*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sinh.f64 y))) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal -1 binary64))) (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) y) (neg.f64 (sinh.f64 y)))
(*.f64 (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) y) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 (sinh.f64 y))) (/.f64 #s(literal -1 binary64) y))
(*.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (sinh.f64 y)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sinh.f64 y))))
(*.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.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))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (sinh.f64 y) #s(literal -1 binary64)) #s(approx (cos x) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (sinh.f64 y)))
(*.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (/.f64 (neg.f64 (sinh.f64 y)) y))
(*.f64 (/.f64 (sinh.f64 y) y) (pow.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (sinh.f64 y) y) #s(approx (cos x) #s(literal 1 binary64)))
(*.f64 (sinh.f64 y) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) y) (sinh.f64 y)))
(pow.f64 (/.f64 (/.f64 y (sinh.f64 y)) #s(approx (cos x) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) y) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 (sinh.f64 y)))) y)
(/.f64 (neg.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) (neg.f64 (*.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 y) (sinh.f64 y)))
(/.f64 (*.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (sinh.f64 y))) (*.f64 (neg.f64 y) #s(literal -2 binary64)))
(/.f64 (*.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (*.f64 (neg.f64 y) #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (neg.f64 y) (sinh.f64 y)))
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (sinh.f64 y))) (*.f64 (neg.f64 y) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (sinh.f64 y))) (*.f64 y #s(literal -2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 y))) (*.f64 (/.f64 y #s(approx (cos x) #s(literal 1 binary64))) #s(literal -2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (*.f64 (/.f64 y #s(approx (cos x) #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (neg.f64 #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 #s(literal -2 binary64) (neg.f64 y)))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 y #s(approx (cos x) #s(literal 1 binary64)))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (neg.f64 #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 #s(literal 2 binary64) (neg.f64 y)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) y))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 #s(approx (cos x) #s(literal 1 binary64)))) (/.f64 (neg.f64 y) (sinh.f64 y)))
(/.f64 (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) y) (/.f64 #s(literal -1 binary64) (sinh.f64 y)))
(/.f64 (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) y) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 (sinh.f64 y))) (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 (sinh.f64 y))) (neg.f64 y))
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (sinh.f64 y)) y)
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y)))
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (*.f64 #s(literal 1 binary64) (*.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (*.f64 (neg.f64 y) #s(literal -2 binary64)))
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (*.f64 y #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) #s(approx (cos x) #s(literal 1 binary64))))
(/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) y) (pow.f64 (sinh.f64 y) #s(literal -1 binary64)))
(/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (/.f64 (neg.f64 y) (sinh.f64 y)))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 #s(literal 2 binary64) (/.f64 y #s(approx (cos x) #s(literal 1 binary64)))))
(/.f64 (sinh.f64 y) (/.f64 y #s(approx (cos x) #s(literal 1 binary64))))
(/.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 y (sinh.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) y) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sinh.f64 y) #s(literal -1 binary64)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) y)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y #s(approx (cos x) #s(literal 1 binary64))) (pow.f64 (sinh.f64 y) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sinh.f64 y) #s(literal -1 binary64)) (/.f64 y #s(approx (cos x) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (sinh.f64 y)) #s(approx (cos x) #s(literal 1 binary64))))
(neg.f64 (/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 (sinh.f64 y))) y))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (sinh.f64 y)) #s(approx (cos x) #s(literal 1 binary64)))))
(neg.f64 (*.f64 (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) y) (sinh.f64 y)))
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y))))
(neg.f64 (*.f64 (/.f64 (neg.f64 (sinh.f64 y)) y) #s(approx (cos x) #s(literal 1 binary64))))
(neg.f64 (*.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) (sinh.f64 y))) (*.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y)))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 y (sinh.f64 y)) #s(approx (cos x) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (cos x) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
(/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(neg.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (cos x) #s(literal 1 binary64))))
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(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x))))
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))))
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 2 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))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))))
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x))
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #s(approx (cos x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))

eval111.0ms (1.3%)

Memory
11.3MiB live, 201.9MiB allocated
Compiler

Compiled 17 087 to 1 700 computations (90.1% saved)

prune83.0ms (1%)

Memory
0.3MiB live, 202.0MiB allocated
Pruning

20 alts after pruning (13 fresh and 7 done)

PrunedKeptTotal
New7188726
Fresh358
Picked145
Done033
Total72220742
Accuracy
100.0%
Counts
742 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.7%
(/.f64 (cos.f64 x) #s(approx (/ y (sinh y)) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
✓62.2%
(/.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 y (sinh.f64 y)))
✓71.4%
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
57.7%
(*.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))))
▶55.1%
(*.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))))
▶45.9%
(*.f64 #s(approx (cos x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
47.7%
(*.f64 #s(approx (cos x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) #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))))
▶60.4%
(*.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))))
57.5%
(*.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(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
43.5%
(*.f64 #s(approx (cos x) #s(approx (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
✓62.2%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
58.5%
(*.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))))
▶55.2%
(*.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))))
✓49.7%
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
✓39.0%
#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))))
✓34.2%
#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))))
38.4%
#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) (*.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))))
▶33.3%
#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))))
33.7%
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))))
✓27.5%
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))
Compiler

Compiled 525 to 386 computations (26.5% saved)

simplify144.0ms (1.7%)

Memory
30.0MiB live, 149.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
cost-diff0
#s(approx (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)))
cost-diff0
(*.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))))
cost-diff0
#s(approx (+ (* 1/24 (* x x)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))
cost-diff0
(fma.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))
cost-diff0
#s(approx (cos x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (cos x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #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
#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
(*.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))))
Rules
5 936×lower-fma.f32
5 914×lower-fma.f64
2 760×lower-*.f32
2 746×lower-*.f64
2 038×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049495
079495
1146495
2230495
3428495
4746491
5998491
61459491
72588491
83944491
94949491
105452491
115648491
126580491
137794491
08198487
Stop Event
1×iter limit
1×node limit
1×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) (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 (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)
(*.f64 #s(approx (cos x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))
#s(approx (+ (* 1/24 (* x x)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
#s(literal 1/24 binary64)
(*.f64 x 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)))
(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) (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))))
#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)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
#s(literal 1/24 binary64)
(*.f64 x x)
x
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(approx (/ (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)
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) (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 (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)
(*.f64 #s(approx (cos x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (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) (fma.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))
#s(approx (+ (* 1/24 (* x x)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
#s(literal 1/24 binary64)
(*.f64 x 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 (/ (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) (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))))
#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)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
#s(literal 1/24 binary64)
(*.f64 x x)
x
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(approx (/ (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)

localize136.0ms (1.6%)

Memory
-42.0MiB live, 254.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.10546875
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))
accuracy0.3169571345958446
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
accuracy7.094719883749013
#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)))
accuracy32.80326308933257
#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)))
accuracy0.4068008845958446
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
accuracy18.329975099070918
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
accuracy30.17265550782618
#s(approx (+ (* 1/24 (* x x)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))
accuracy32.80326308933257
#s(approx (cos x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)))
accuracy0.046875
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
accuracy0.10546875
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))
accuracy7.094719883749013
#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)))
accuracy30.332224053305655
#s(approx (cos x) #s(literal 1 binary64))
accuracy0.04296875
(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))
accuracy32.2129550740308
#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))))
accuracy32.65065743658987
#s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64))
accuracy32.76864636181763
#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)))
accuracy0.08203125
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
accuracy0.20192401906604773
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
accuracy4.277465463224338
#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)))
accuracy32.72372737182253
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
Samples
94.0ms256×0valid
Compiler

Compiled 283 to 41 computations (85.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 71.0ms
ival-mult: 29.0ms (41.1% of total)
ival-add: 15.0ms (21.3% of total)
const: 13.0ms (18.4% of total)
ival-cos: 10.0ms (14.2% 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)

series52.0ms (0.6%)

Memory
15.2MiB live, 53.9MiB allocated
Counts
25 → 360
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) (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 (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 (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 (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 (*.f64 #s(approx (cos x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) (patch (*.f64 #s(approx (cos x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (cos x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cos x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* 1/24 (* x x)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (patch #s(approx (+ (* 1/24 (* x x)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) #<representation binary64>) () ())
#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())
#s(alt #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))) (patch #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))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #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 #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 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (patch (fma.f64 #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 #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 #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 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #<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>) () ())) ())
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#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.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)))) (patch (*.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)))) #<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 (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)))) (patch (*.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)))) #<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 (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)))) (patch (*.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)))) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt (* 1/24 (pow x 4)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #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 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #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 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #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 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #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 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/24 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/24 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 1/24 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 1/24 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 1/24 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
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) (+ (* (+ (* (+ (* -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) (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) (+ (* 1/24 (* x x)) -1/2) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) (+ (* 1/24 (* x x)) -1/2) (/ (sinh y) y) (+ (* 1/5040 (* y y)) 1/120) (+ (* 1/120 (* y y)) 1/6) (/ (sinh y) y) (* 1/24 (* x x)))
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) (+ (* (+ (* (+ (* -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) (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) (+ (* 1/24 (* x x)) -1/2) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) (+ (* 1/24 (* x x)) -1/2) (/ (sinh y) y) (+ (* 1/5040 (* y y)) 1/120) (+ (* 1/120 (* y y)) 1/6) (/ (sinh y) y) (* 1/24 (* x x)))
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) (+ (* (+ (* (+ (* -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) (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) (+ (* 1/24 (* x x)) -1/2) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) (+ (* 1/24 (* x x)) -1/2) (/ (sinh y) y) (+ (* 1/5040 (* y y)) 1/120) (+ (* 1/120 (* y y)) 1/6) (/ (sinh y) y) (* 1/24 (* x x)))
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) (+ (* (+ (* (+ (* -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) (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) (+ (* 1/24 (* x x)) -1/2) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) (+ (* 1/24 (* x x)) -1/2) (/ (sinh y) y) (+ (* 1/5040 (* y y)) 1/120) (+ (* 1/120 (* y y)) 1/6) (/ (sinh y) y) (* 1/24 (* x x)))
1.0ms
x
@0
((* (cos x) (/ (sinh y) y)) (cos x) (+ (* -1/2 (* x x)) 1) (* x x) (* (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) (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) (+ (* 1/24 (* x x)) -1/2) (* (cos x) (/ (sinh y) y)) (cos x) (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) (+ (* 1/24 (* x x)) -1/2) (/ (sinh y) y) (+ (* 1/5040 (* y y)) 1/120) (+ (* 1/120 (* y y)) 1/6) (/ (sinh y) y) (* 1/24 (* x x)))

simplify211.0ms (2.5%)

Memory
14.4MiB live, 204.3MiB allocated
Algorithm
1×egg-herbie
Rules
13 200×lower-fma.f64
13 200×lower-fma.f32
5 952×lower-*.f64
5 952×lower-*.f32
2 726×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01263762
13423727
29773537
326843457
457403457
083083248
Stop Event
1×iter limit
1×node limit
Counts
360 → 360
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)))))))
(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
(+ 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)))))))
(* 1/2 (/ (* (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))
(* 1/2 (/ (* (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)))))
(* 1/2 (/ (- (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 (/ (* (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 (/ (* (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)))))
(* 1/2 (/ (- (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))) 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
(+ 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 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
-1/2
(- (* 1/24 (pow x 2)) 1/2)
(- (* 1/24 (pow x 2)) 1/2)
(- (* 1/24 (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) (- (* 1/24 (pow x 2)) 1/2)))
-1/2
(- (* 1/24 (pow x 2)) 1/2)
(- (* 1/24 (pow x 2)) 1/2)
(- (* 1/24 (pow x 2)) 1/2)
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (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)
(* -1/720 (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)
(* 1/24 (pow x 4))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 2))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (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)
(* 1/24 (pow x 4))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 2))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (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)
(* -1/720 (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)
(* 1/24 (pow x 4))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 2))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (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)
(* 1/24 (pow x 4))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 2))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
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 (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 (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 (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 (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 (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))
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 (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 (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 (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))
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
#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))
(* 1/2 (/ (* (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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(* 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 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* (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)
(* -1/720 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/720 binary64))
(* (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))
(* -1/720 (pow x 4))
(*.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 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64))
(* 1/2 (/ (* (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))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(* 1/24 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(* 1/24 (pow x 2))
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* 1/2 (/ (* (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)
(* 1/24 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(* 1/24 (pow x 2))
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* 1/24 (pow x 2))
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
(* 1/24 (pow x 2))
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
(* 1/24 (pow x 2))
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
(* 1/24 (pow x 2))
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))

rewrite197.0ms (2.3%)

Memory
4.4MiB live, 322.2MiB allocated
Rules
7 040×lower-fma.f32
7 018×lower-fma.f64
4 160×lower-/.f64
4 160×lower-/.f32
3 990×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049382
079382
1303382
22094382
08499374
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
25 → 277
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) (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 (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 (/ (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))
(*.f64 #s(approx (cos x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))
#s(approx (+ (* 1/24 (* x x)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x 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 #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 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
#s(approx (/ (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))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
Outputs
(*.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))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #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))))
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64))) (pow.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))))
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(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64))) (neg.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal 1/216 binary64))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal 1/216 binary64))) (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)))
(/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 y y) #s(literal 1/720 binary64)))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal 1/216 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (-.f64 #s(literal 1/36 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 y y) #s(literal 1/720 binary64)))) (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal 1/216 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))))
(fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(fma.f64 y (*.f64 #s(literal 1/120 binary64) y) #s(literal 1/6 binary64))
(-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 y y)))) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 y y)))))
(-.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))))
(+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))
(+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 y y)))
#s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1/24 binary64) x) x)
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(*.f64 x (*.f64 #s(literal 1/24 binary64) x))

eval152.0ms (1.8%)

Memory
0.3MiB live, 241.8MiB allocated
Compiler

Compiled 20 737 to 1 698 computations (91.8% saved)

prune149.0ms (1.7%)

Memory
-25.4MiB live, 171.1MiB allocated
Pruning

24 alts after pruning (14 fresh and 10 done)

PrunedKeptTotal
New8169825
Fresh358
Picked235
Done077
Total82124845
Accuracy
100.0%
Counts
845 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.7%
(/.f64 (cos.f64 x) #s(approx (/ y (sinh y)) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
✓62.2%
(/.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 y (sinh.f64 y)))
✓71.4%
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
55.1%
(*.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))))
57.2%
(*.f64 #s(approx (cos x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (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))))
✓45.9%
(*.f64 #s(approx (cos x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
57.5%
(*.f64 #s(approx (cos x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) #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))))
47.7%
(*.f64 #s(approx (cos x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) #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))))
60.4%
(*.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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))))
60.4%
(*.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 (*.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))))
60.4%
(*.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))))
43.5%
(*.f64 #s(approx (cos x) #s(approx (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
58.5%
(*.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))))
✓62.2%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
✓55.2%
(*.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))))
55.2%
(*.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))))
30.7%
(*.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))))
✓49.7%
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
✓39.0%
#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))))
✓34.2%
#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))))
38.4%
#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) (*.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))))
✓33.3%
#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))))
33.7%
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))))
✓27.5%
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))
Compiler

Compiled 966 to 399 computations (58.7% saved)

regimes73.0ms (0.8%)

Memory
15.2MiB live, 98.6MiB allocated
Counts
37 → 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) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) #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 #s(approx (+ (* 1/24 (* x x)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (* (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))))
(*.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) (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) (fma.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) #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 #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 (* (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(approx (+ (* 1/24 (* x x)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (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 (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) (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(approx (+ (* 1/24 (* x x)) -1/2) #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 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))) #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 (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(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 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (+.f64 (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (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(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 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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) (/ (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(literal 1 binary64)) (/.f64 y (sinh.f64 y)))
(/.f64 (cos.f64 x) #s(approx (/ y (sinh y)) (fma.f64 #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))) (/.f64 (sinh.f64 y) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) y)
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
Outputs
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
Calls

5 calls:

31.0ms
y
12.0ms
(cos.f64 x)
11.0ms
x
9.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
8.0ms
(/.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)

regimes54.0ms (0.6%)

Memory
2.1MiB live, 116.1MiB allocated
Counts
36 → 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) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) #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 #s(approx (+ (* 1/24 (* x x)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (* (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))))
(*.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) (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) (fma.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) #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 #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 (* (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(approx (+ (* 1/24 (* x x)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (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 (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) (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(approx (+ (* 1/24 (* x x)) -1/2) #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 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))) #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 (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(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 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (+.f64 (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (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(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 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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) (/ (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(literal 1 binary64)) (/.f64 y (sinh.f64 y)))
(/.f64 (cos.f64 x) #s(approx (/ y (sinh y)) (fma.f64 #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))) (/.f64 (sinh.f64 y) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) y)
Outputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Calls

5 calls:

12.0ms
x
11.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
10.0ms
y
10.0ms
(cos.f64 x)
9.0ms
(/.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)

regimes63.0ms (0.7%)

Memory
15.5MiB live, 99.3MiB allocated
Counts
34 → 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) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) #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 #s(approx (+ (* 1/24 (* x x)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (* (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))))
(*.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) (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) (fma.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) #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 #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 (* (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(approx (+ (* 1/24 (* x x)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (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 (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) (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(approx (+ (* 1/24 (* x x)) -1/2) #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 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))) #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 (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(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 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (+.f64 (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (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(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 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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) (/ (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(literal 1 binary64)) (/.f64 y (sinh.f64 y)))
(/.f64 (cos.f64 x) #s(approx (/ y (sinh y)) (fma.f64 #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))) (/.f64 (sinh.f64 y) y))
Outputs
(*.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 (/ y (sinh y)) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 y (sinh.f64 y)))
Calls

5 calls:

19.0ms
y
16.0ms
(cos.f64 x)
10.0ms
x
9.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
7.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
84.5%2x
94.1%3y
100.0%3(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
84.6%2(cos.f64 x)
87.5%2(/.f64 (sinh.f64 y) y)
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes13.0ms (0.1%)

Memory
-11.4MiB live, 26.1MiB allocated
Counts
33 → 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) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) #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 #s(approx (+ (* 1/24 (* x x)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (* (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))))
(*.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) (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) (fma.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) #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 #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 (* (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(approx (+ (* 1/24 (* x x)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (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 (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) (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(approx (+ (* 1/24 (* x x)) -1/2) #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 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))) #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 (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(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 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (+.f64 (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (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(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 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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) (/ (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(literal 1 binary64)) (/.f64 y (sinh.f64 y)))
(/.f64 (cos.f64 x) #s(approx (/ y (sinh y)) (fma.f64 #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 (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 (cos.f64 x) #s(approx (/ y (sinh y)) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 y (sinh.f64 y)))
Calls

1 calls:

8.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
98.9%3(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes12.0ms (0.1%)

Memory
-12.6MiB live, 25.8MiB allocated
Counts
32 → 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) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) #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 #s(approx (+ (* 1/24 (* x x)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (* (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))))
(*.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) (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) (fma.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) #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 #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 (* (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(approx (+ (* 1/24 (* x x)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (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 (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) (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(approx (+ (* 1/24 (* x x)) -1/2) #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 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))) #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 (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(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 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (+.f64 (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (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(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 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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) (/ (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(literal 1 binary64)) (/.f64 y (sinh.f64 y)))
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 #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 (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(literal 1 binary64)) (/.f64 y (sinh.f64 y)))
Calls

1 calls:

10.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
98.9%3(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes9.0ms (0.1%)

Memory
24.8MiB live, 24.8MiB allocated
Counts
31 → 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) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) #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 #s(approx (+ (* 1/24 (* x x)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (* (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))))
(*.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) (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) (fma.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) #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 #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 (* (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(approx (+ (* 1/24 (* x x)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (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 (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) (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(approx (+ (* 1/24 (* x x)) -1/2) #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 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))) #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 (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(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 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (+.f64 (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (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(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 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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) (/ (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(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 (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(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
Calls

1 calls:

8.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
98.9%3(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes15.0ms (0.2%)

Memory
-18.1MiB live, 24.1MiB allocated
Counts
30 → 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) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) #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 #s(approx (+ (* 1/24 (* x x)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (* (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))))
(*.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) (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) (fma.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) #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 #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 (* (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(approx (+ (* 1/24 (* x x)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (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 (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) (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(approx (+ (* 1/24 (* x x)) -1/2) #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 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))) #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 (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(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 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (+.f64 (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (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(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 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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) (/ (sinh y) y)) (cos.f64 x))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
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 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (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:

13.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
98.9%3(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes11.0ms (0.1%)

Memory
-16.5MiB live, 21.5MiB allocated
Counts
29 → 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) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) #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 #s(approx (+ (* 1/24 (* x x)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (* (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))))
(*.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) (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) (fma.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) #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 #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 (* (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(approx (+ (* 1/24 (* x x)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (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 (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) (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(approx (+ (* 1/24 (* x x)) -1/2) #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 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))) #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 (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(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 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (+.f64 (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (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(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 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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) (/ (sinh y) y)) (cos.f64 x))
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 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
(*.f64 #s(approx (cos x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (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

1 calls:

7.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
95.9%3(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes72.0ms (0.8%)

Memory
13.3MiB live, 89.4MiB allocated
Counts
28 → 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) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) #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 #s(approx (+ (* 1/24 (* x x)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (* (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))))
(*.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) (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) (fma.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) #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 #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 (* (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(approx (+ (* 1/24 (* x x)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (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 (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) (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(approx (+ (* 1/24 (* x x)) -1/2) #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 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))) #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 (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(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 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (+.f64 (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (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(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 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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))))
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 #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) #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:

38.0ms
x
8.0ms
y
8.0ms
(/.f64 (sinh.f64 y) y)
8.0ms
(cos.f64 x)
7.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
60.4%1x
73.8%2(cos.f64 x)
62.0%2(/.f64 (sinh.f64 y) y)
62.1%2y
73.8%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes13.0ms (0.1%)

Memory
22.8MiB live, 22.8MiB allocated
Counts
20 → 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) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) #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 #s(approx (+ (* 1/24 (* x x)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (* (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))))
(*.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) (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) (fma.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) #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 #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 (* (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(approx (+ (* 1/24 (* x x)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (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 (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) (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(approx (+ (* 1/24 (* x x)) -1/2) #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 y y) #s(literal 1/6 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 #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

2 calls:

6.0ms
(cos.f64 x)
5.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
73.4%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
73.4%2(cos.f64 x)
Compiler

Compiled 9 to 9 computations (0% saved)

regimes193.0ms (2.3%)

Memory
-6.2MiB live, 33.3MiB allocated
Counts
17 → 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) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) #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 #s(approx (+ (* 1/24 (* x x)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (* (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))))
(*.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) (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) (fma.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) #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 #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 (* (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(approx (+ (* 1/24 (* x x)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (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 (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))))
Outputs
#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) (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #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:

187.0ms
(cos.f64 x)
5.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
72.2%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
72.2%2(cos.f64 x)
Compiler

Compiled 9 to 9 computations (0% saved)

regimes21.0ms (0.2%)

Memory
-13.5MiB live, 20.7MiB 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) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) #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 #s(approx (+ (* 1/24 (* x x)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (* (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))))
(*.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) (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) (fma.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) #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 #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 (* (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(approx (+ (* 1/24 (* x x)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
Outputs
#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) (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #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:

15.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
5.0ms
(cos.f64 x)
Results
AccuracySegmentsBranch
68.9%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
68.9%2(cos.f64 x)
Compiler

Compiled 9 to 9 computations (0% saved)

regimes8.0ms (0.1%)

Memory
20.6MiB live, 20.6MiB 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) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) #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 #s(approx (+ (* 1/24 (* x x)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (* (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))))
(*.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) (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) (fma.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) #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))))
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:

4.0ms
(cos.f64 x)
3.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
68.3%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
68.3%2(cos.f64 x)
Compiler

Compiled 9 to 9 computations (0% saved)

regimes10.0ms (0.1%)

Memory
-18.8MiB live, 20.0MiB 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) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) #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 #s(approx (+ (* 1/24 (* x x)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (* (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))))
(*.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))))
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

2 calls:

5.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
4.0ms
(cos.f64 x)
Results
AccuracySegmentsBranch
63.4%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
63.4%2(cos.f64 x)
Compiler

Compiled 9 to 9 computations (0% saved)

regimes7.0ms (0.1%)

Memory
14.0MiB live, 14.0MiB allocated
Counts
9 → 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) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) #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 #s(approx (+ (* 1/24 (* x x)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (* (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))))
(*.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:

3.0ms
(cos.f64 x)
3.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
63.4%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
63.4%2(cos.f64 x)
Compiler

Compiled 9 to 9 computations (0% saved)

regimes188.0ms (2.2%)

Memory
-7.5MiB live, 31.0MiB allocated
Counts
8 → 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) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) #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 #s(approx (+ (* 1/24 (* x x)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (* (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))))
(*.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))))
#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 (+ (* (+ (* 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

5 calls:

3.0ms
x
3.0ms
y
3.0ms
(cos.f64 x)
3.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
2.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
47.0%2x
55.2%2(/.f64 (sinh.f64 y) y)
55.2%2y
63.4%3(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
53.8%3(cos.f64 x)
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes11.0ms (0.1%)

Memory
22.2MiB live, 22.2MiB allocated
Counts
7 → 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) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) #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 #s(approx (+ (* 1/24 (* x x)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (* (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))))
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 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
Calls

4 calls:

3.0ms
y
3.0ms
(cos.f64 x)
2.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
2.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
51.7%2(cos.f64 x)
43.5%1(/.f64 (sinh.f64 y) y)
47.9%3y
51.7%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 14 to 15 computations (-7.1% saved)

regimes14.0ms (0.2%)

Memory
-24.3MiB live, 21.1MiB 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:

6.0ms
(cos.f64 x)
2.0ms
y
2.0ms
x
2.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
1.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
34.9%2(/.f64 (sinh.f64 y) y)
34.9%2y
33.3%1x
35.6%2(cos.f64 x)
35.6%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes6.0ms (0.1%)

Memory
14.8MiB live, 14.8MiB 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:

1.0ms
y
1.0ms
x
1.0ms
(cos.f64 x)
1.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
1.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
27.5%1x
27.5%1(/.f64 (sinh.f64 y) y)
27.5%1y
27.5%1(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
27.5%1(cos.f64 x)
Compiler

Compiled 15 to 17 computations (-13.3% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.99999999336492
1.0
0.0ms
-inf
-0.9945722638941048
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.99999999336492
1.0
0.0ms
-inf
-0.9945722638941048
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.99999999336492
1.0
0.0ms
-inf
-0.9945722638941048
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.99999999336492
1.0
0.0ms
-inf
-0.9945722638941048
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.99999999336492
1.0
0.0ms
-inf
-0.9945722638941048
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.99999999336492
1.0
0.0ms
-inf
-0.9945722638941048
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.00512779844518534
0.009169552462751297
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.00512779844518534
0.009169552462751297
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.00512779844518534
0.009169552462751297
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.00512779844518534
0.009169552462751297
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch6.0ms (0.1%)

Memory
-38.2MiB live, 0.7MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.00512779844518534
0.009169552462751297
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.00512779844518534
0.009169552462751297
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.00512779844518534
0.009169552462751297
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.0
1.4664463384599648e+69
0.0ms
-0.00512779844518534
0.1220082361067181
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.00512779844518534
0.1220082361067181
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.00512779844518534
0.009169552462751297
Compiler

Compiled 10 to 11 computations (-10% saved)

simplify28.0ms (0.3%)

Memory
28.4MiB live, 67.2MiB allocated
Algorithm
1×egg-herbie
Rules
40×*-commutative-binary64-*.f64
2×1-exp-binary32-exp.f32
2×1-exp-binary64-exp.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01231077
11461077
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
(*.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) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y)) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 281474974843047/281474976710656 binary64)) (/.f64 (cos.f64 x) #s(approx (/ y (sinh y)) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 y (sinh.f64 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(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)))) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 281474974843047/281474976710656 binary64)) (/.f64 (cos.f64 x) #s(approx (/ y (sinh y)) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 y (sinh.f64 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(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)))) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 281474974843047/281474976710656 binary64)) (*.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(literal 1 binary64)) (/.f64 y (sinh.f64 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(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)))) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 281474974843047/281474976710656 binary64)) (*.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(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(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)))) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 281474974843047/281474976710656 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(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)))) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 281474974843047/281474976710656 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x)) (*.f64 #s(approx (cos x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (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 -5764607523034235/1152921504606846976 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) #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 -5764607523034235/1152921504606846976 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) #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 -5764607523034235/1152921504606846976 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) (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 #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 -5764607523034235/1152921504606846976 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) (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 #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 (cos.f64 x) #s(literal -5764607523034235/1152921504606846976 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 (cos.f64 x) #s(literal -5764607523034235/1152921504606846976 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 (cos.f64 x) #s(literal -5764607523034235/1152921504606846976 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 -5764607523034235/1152921504606846976 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 (+ (* (+ (* 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 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -5764607523034235/1152921504606846976 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 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))))
(if (<=.f64 (cos.f64 x) #s(literal -5764607523034235/1152921504606846976 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 y (sinh.f64 y)))
(*.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) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y)) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 281474974843047/281474976710656 binary64)) (/.f64 (cos.f64 x) #s(approx (/ y (sinh y)) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 y (sinh.f64 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(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y)) (if (<=.f64 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x)) #s(literal 281474974843047/281474976710656 binary64)) (/.f64 (cos.f64 x) #s(approx (/ y (sinh y)) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 y (sinh.f64 y)))))
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#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))

soundness1.6s (18.8%)

Memory
8.5MiB live, 1 167.5MiB allocated
Rules
14 886×lower-fma.f64
14 886×lower-fma.f32
14 270×lower-fma.f64
14 270×lower-fma.f32
13 460×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01263762
13423727
29773537
326843457
457403457
083083248
084686
1241679
2744635
32418627
45284623
57975623
08399593
0615
01015
12615
212115
387015
0838415
01313012
13472977
210012781
331352717
469202717
084702584
01072822
12942787
28762591
328002551
459742551
084992431
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 1 445 to 679 computations (53% saved)

preprocess179.0ms (2.1%)

Memory
-10.4MiB live, 238.4MiB allocated
Remove

(abs x)

(abs y)

Compiler

Compiled 1 554 to 268 computations (82.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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