Linear.Quaternion:$csin from linear-1.19.1.3

Time bar (total: 13.2s)

analyze15.0ms (0.1%)

Memory
-14.8MiB live, 24.5MiB 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)

sample1.3s (10.2%)

Memory
60.0MiB live, 1 038.6MiB allocated
Samples
1.1s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 714.0ms
ival-cos: 546.0ms (76.5% of total)
ival-div: 62.0ms (8.7% of total)
ival-mult: 59.0ms (8.3% of total)
ival-sinh: 39.0ms (5.5% of total)
ival-true: 6.0ms (0.8% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

preprocess425.0ms (3.2%)

Memory
-11.5MiB live, 278.1MiB 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))
Symmetry

(abs y)

(abs x)

explain76.0ms (0.6%)

Memory
-16.0MiB live, 142.6MiB 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 56 to 28 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-cos: 13.0ms (56.1% of total)
ival-div: 3.0ms (12.9% of total)
ival-mult: 3.0ms (12.9% of total)
ival-sinh: 3.0ms (12.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify401.0ms (3%)

Memory
-16.1MiB live, 181.3MiB 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))
(cos.f64 x)
x
(/.f64 (sinh.f64 y) y)
(sinh.f64 y)
y

localize24.0ms (0.2%)

Memory
30.7MiB live, 30.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 (sinh.f64 y) y)
✓accuracy100.0%
(cos.f64 x)
✓accuracy100.0%
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
✓accuracy100.0%
(sinh.f64 y)
Samples
16.0ms256×0valid
Compiler

Compiled 19 to 8 computations (57.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-cos: 6.0ms (59.5% of total)
ival-div: 2.0ms (19.8% of total)
ival-mult: 1.0ms (9.9% of total)
ival-sinh: 1.0ms (9.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series20.0ms (0.2%)

Memory
-26.8MiB live, 11.3MiB allocated
Counts
4 → 60
Calls
Call 1
Inputs
#s(alt (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())
#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())
#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())
#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())
Outputs
#s(alt (* 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 (* 1/2 (/ (* (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 (* 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 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 (* 1/2 (/ (* (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 (/ (* (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 (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 (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 (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 (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 (* 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))) 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 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 (- (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)))) (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>) () ())) ())
Calls

15 calls:

TimeVariablePointExpression
11.0ms
y
@-inf
(* (cos x) (/ (sinh y) y))
2.0ms
y
@inf
(* (cos x) (/ (sinh y) y))
1.0ms
x
@inf
(* (cos x) (/ (sinh y) y))
1.0ms
y
@0
(* (cos x) (/ (sinh y) y))
1.0ms
x
@0
(* (cos x) (/ (sinh y) y))

simplify696.0ms (5.3%)

Memory
30.5MiB live, 505.6MiB 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
2746635
32420627
45288623
57976623
08400593
Stop Event
1×iter limit
1×node limit
Counts
60 → 59
Calls
Call 1
Inputs
(* 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))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp 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) (* 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))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp 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
(+ 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)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(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 (/ (- (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))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
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 (- (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 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
Outputs
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1/2 binary64)) 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)))))
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/48 binary64)) #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 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 x x) y)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/1440 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y))
(cos x)
(cos.f64 x)
(+ (cos x) (* 1/6 (* (pow y 2) (cos x))))
(*.f64 (cos.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))
(*.f64 (cos.f64 x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #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 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow y 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
y
(* y (+ 1 (* 1/6 (pow y 2))))
(fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y)
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))

rewrite565.0ms (4.3%)

Memory
-31.8MiB live, 343.3MiB allocated
Algorithm
1×batch-egg-rewrite
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 (cos.f64 x) y) (*.f64 (exp.f64 y) #s(literal 1/2 binary64))) (*.f64 (/.f64 (cos.f64 x) y) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64))))
(+.f64 (*.f64 (neg.f64 (/.f64 (cos.f64 x) y)) #s(literal 0 binary64)) (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))
(+.f64 (*.f64 (neg.f64 (/.f64 (cos.f64 x) y)) (neg.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (/.f64 (cos.f64 x) y)) (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64))))
(+.f64 (*.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (/.f64 (cos.f64 x) y)) (*.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)) (/.f64 (cos.f64 x) y)))
(+.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (cos.f64 x) y))) (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))
(+.f64 (*.f64 (neg.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64))) (neg.f64 (/.f64 (cos.f64 x) y))) (*.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (neg.f64 (/.f64 (cos.f64 x) y))))
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) (neg.f64 y)))
(fma.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (cos.f64 x) y)) (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))
(fma.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (/.f64 (cos.f64 x) y) (*.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)) (/.f64 (cos.f64 x) y)))
(fma.f64 (/.f64 (cos.f64 x) y) (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (*.f64 (/.f64 (cos.f64 x) y) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64))))
(fma.f64 (neg.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64))) (neg.f64 (/.f64 (cos.f64 x) y)) (*.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (neg.f64 (/.f64 (cos.f64 x) y))))
(fma.f64 (neg.f64 (/.f64 (cos.f64 x) y)) #s(literal 0 binary64) (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))
(fma.f64 (neg.f64 (/.f64 (cos.f64 x) y)) (neg.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (/.f64 (cos.f64 x) y)) (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64))))
(neg.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) (neg.f64 y)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))))
(neg.f64 (/.f64 (neg.f64 (cos.f64 x)) (/.f64 y (sinh.f64 y))))
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
(/.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 y) y) (*.f64 (cos.f64 x) (*.f64 (sinh.f64 y) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 (sinh.f64 y) #s(literal -2 binary64)) (/.f64 (cos.f64 x) y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (cos.f64 x) (*.f64 (sinh.f64 y) (/.f64 #s(literal 2 binary64) y)))))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (sinh.f64 y))))
(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) (*.f64 (cos.f64 x) (sinh.f64 y))))
(/.f64 (*.f64 (cos.f64 x) (neg.f64 (sinh.f64 y))) (neg.f64 y))
(/.f64 (/.f64 (cos.f64 x) y) (/.f64 #s(literal 1 binary64) (sinh.f64 y)))
(/.f64 (*.f64 (cos.f64 x) (*.f64 (sinh.f64 y) #s(literal 2 binary64))) (+.f64 y y))
(/.f64 (neg.f64 (cos.f64 x)) (neg.f64 (/.f64 y (sinh.f64 y))))
(/.f64 (*.f64 (cos.f64 x) (*.f64 (sinh.f64 y) #s(literal -2 binary64))) (-.f64 (neg.f64 y) y))
(/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))))
(/.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) (neg.f64 y)) #s(literal -1 binary64))
(/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64))))) (*.f64 (+.f64 y y) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))))))
(/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))) (*.f64 y (*.f64 #s(literal 4 binary64) (cosh.f64 y))))
(/.f64 (*.f64 (*.f64 (sinh.f64 y) #s(literal -2 binary64)) (/.f64 (cos.f64 x) y)) #s(literal -2 binary64))
(/.f64 (*.f64 (cos.f64 x) (*.f64 (sinh.f64 y) (/.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64))
(/.f64 (neg.f64 (/.f64 (cos.f64 x) y)) (/.f64 #s(literal -1 binary64) (sinh.f64 y)))
(/.f64 (neg.f64 (neg.f64 (cos.f64 x))) (/.f64 y (sinh.f64 y)))
(/.f64 (neg.f64 (*.f64 (*.f64 (sinh.f64 y) #s(literal -2 binary64)) (/.f64 (cos.f64 x) y))) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (/.f64 (cos.f64 x) (/.f64 y (*.f64 (sinh.f64 y) #s(literal -2 binary64)))) #s(literal -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 (cos.f64 x) (*.f64 (sinh.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y)) #s(literal -2 binary64))
(/.f64 (*.f64 (neg.f64 (cos.f64 x)) (*.f64 (sinh.f64 y) #s(literal -2 binary64))) (+.f64 y y))
(/.f64 (*.f64 (/.f64 (cos.f64 x) y) (*.f64 (sinh.f64 y) #s(literal -2 binary64))) #s(literal -2 binary64))
(/.f64 (*.f64 (neg.f64 (/.f64 (cos.f64 x) y)) (*.f64 (sinh.f64 y) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y)) (/.f64 #s(literal 1 binary64) (sinh.f64 y)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
(/.f64 (*.f64 (cos.f64 x) (/.f64 (*.f64 (sinh.f64 y) #s(literal -2 binary64)) y)) #s(literal -2 binary64))
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(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 y) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 y))))) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 1/8 binary64)) (*.f64 (exp.f64 (*.f64 y #s(literal -3 binary64))) #s(literal 1/8 binary64)))) (fma.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) (*.f64 (exp.f64 (+.f64 y y)) #s(literal 1/4 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) (sinh.f64 y))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (sinh.f64 y))) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 3 binary64)))) (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))) (sinh.f64 y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))))) (+.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))) #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 (exp.f64 (+.f64 y y))) (exp.f64 (-.f64 (neg.f64 y) y)))) (*.f64 #s(literal -2 binary64) (cosh.f64 y)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -4 binary64) (sinh.f64 y))) #s(literal -2 binary64))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) #s(literal -1/2 binary64)) (+.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal -1/2 binary64)) (*.f64 #s(literal -2 binary64) (cosh.f64 y)))
(/.f64 (*.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64))))) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))))
(/.f64 (*.f64 (+.f64 (neg.f64 (exp.f64 (+.f64 y y))) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))
(/.f64 (*.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64))))) #s(literal 1/2 binary64)) (+.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))) #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 (neg.f64 (exp.f64 (+.f64 y y))) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (cosh.f64 y)))
(/.f64 (*.f64 (fma.f64 (exp.f64 y) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 y)))) #s(literal 1 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 (-.f64 (*.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 1/8 binary64)) (*.f64 (exp.f64 (*.f64 y #s(literal -3 binary64))) #s(literal 1/8 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) (*.f64 (exp.f64 (+.f64 y y)) #s(literal 1/4 binary64))))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) (sinh.f64 y)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))))
(/.f64 (*.f64 (*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (sinh.f64 y)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (sinh.f64 y)) #s(literal 2 binary64)) (cosh.f64 y))
(pow.f64 (sinh.f64 y) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) #s(literal -1 binary64))
(*.f64 (sinh.f64 y) #s(literal 1 binary64))
(*.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 y) #s(literal 1/2 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sinh.f64 y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sinh.f64 y) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sinh.f64 y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (sinh.f64 y)) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (sinh.f64 y)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (sinh.f64 y))
(*.f64 #s(literal -1 binary64) (neg.f64 (sinh.f64 y)))
(*.f64 (*.f64 (sinh.f64 y) #s(literal -2 binary64)) #s(literal -1/2 binary64))
(*.f64 #s(literal -2 binary64) (*.f64 (sinh.f64 y) #s(literal -1/2 binary64)))
(*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))))) #s(literal 2 binary64)))
(*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 2 binary64))))
(*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))))) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))))))
(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))) (/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sinh.f64 y) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) (/.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 y)) #s(literal 2 binary64)))
(*.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (cosh.f64 y))))
(*.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 y)) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (cosh.f64 y))))
(*.f64 (cosh.f64 y) (/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 y))))
(*.f64 (fma.f64 (exp.f64 y) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 y)))) #s(literal 1/4 binary64))
(*.f64 (*.f64 (sinh.f64 y) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 (-.f64 (*.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 1/8 binary64)) (*.f64 (exp.f64 (*.f64 y #s(literal -3 binary64))) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) (*.f64 (exp.f64 (+.f64 y y)) #s(literal 1/4 binary64)))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (sinh.f64 y) #s(literal -2 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) (sinh.f64 y)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))))
(*.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 y)) #s(literal 1/4 binary64))
(*.f64 (*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))))))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (sinh.f64 y)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 y)))
(*.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) (sinh.f64 y)) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))))))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 y)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 y)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))) #s(literal 2 binary64)) (/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 y)))
(*.f64 (/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (*.f64 (+.f64 y y) #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 3 binary64)))) (-.f64 (+.f64 (exp.f64 (fma.f64 y #s(literal 2 binary64) (+.f64 y y))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 2 binary64))) (fma.f64 (exp.f64 (+.f64 y y)) #s(literal 1 binary64) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (fma.f64 y #s(literal 2 binary64) (+.f64 y y))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))))
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (sinh.f64 y)) (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))) (*.f64 (sinh.f64 y) #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (sinh.f64 y)) (+.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64))))) (+.f64 (exp.f64 (+.f64 y y)) (expm1.f64 (-.f64 (neg.f64 y) y))))

eval132.0ms (1%)

Memory
17.2MiB live, 127.6MiB allocated
Compiler

Compiled 13 175 to 2 053 computations (84.4% saved)

prune161.0ms (1.2%)

Memory
4.6MiB live, 246.3MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New6976703
Fresh000
Picked101
Done000
Total6986704
Accuracy
100.0%
Counts
704 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))))
86.0%
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
▶72.3%
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
▶68.5%
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y))
▶64.7%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
▶48.2%
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
Compiler

Compiled 140 to 92 computations (34.3% saved)

simplify195.0ms (1.5%)

Memory
5.2MiB live, 362.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x #s(literal -1/2 binary64))
✓cost-diff0
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓cost-diff0
#s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓cost-diff0
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y))
✓cost-diff0
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
✓cost-diff0
#s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
✓cost-diff0
(cos.f64 x)
✓cost-diff0
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
✓cost-diff0
(sinh.f64 y)
✓cost-diff0
(/.f64 (sinh.f64 y) y)
✓cost-diff0
#s(approx (cos x) #s(literal 1 binary64))
✓cost-diff0
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
✓cost-diff0
(cos.f64 x)
✓cost-diff0
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
✓cost-diff0
(*.f64 y (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
✓cost-diff0
(cos.f64 x)
✓cost-diff0
(*.f64 (cos.f64 x) #s(literal 1/2 binary64))
✓cost-diff1024
(/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))))
Rules
5 360×lower-*.f32
5 346×lower-*.f64
2 312×lower-fma.f32
2 308×lower-fma.f64
2 096×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
028148
046148
184146
2143144
3296144
4975144
53728144
65094144
08157144
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))))
(*.f64 (cos.f64 x) #s(literal 1/2 binary64))
(cos.f64 x)
x
#s(literal 1/2 binary64)
(*.f64 y (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
y
(/.f64 #s(literal 1/2 binary64) (sinh.f64 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 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(cos.f64 x)
x
#s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
#s(literal 1/6 binary64)
(*.f64 y y)
y
#s(literal 1 binary64)
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y))
#s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
x
(*.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(/.f64 (sinh.f64 y) y)
(sinh.f64 y)
y
Outputs
(/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (cos.f64 x) #s(literal 1/2 binary64))
(cos.f64 x)
x
#s(literal 1/2 binary64)
(*.f64 y (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) (sinh.f64 y))
y
(/.f64 #s(literal 1/2 binary64) (sinh.f64 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 (sinh.f64 y) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) 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 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(cos.f64 x)
x
#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 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
#s(literal 1/6 binary64)
(*.f64 y y)
y
#s(literal 1 binary64)
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (sinh.f64 y) y) #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
x
(*.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(/.f64 (sinh.f64 y) y)
(sinh.f64 y)
y

localize117.0ms (0.9%)

Memory
15.6MiB live, 210.8MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 x #s(literal -1/2 binary64))
✓accuracy100.0%
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y))
✓accuracy100.0%
(sinh.f64 y)
✓accuracy78.7%
#s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓accuracy100.0%
(cos.f64 x)
✓accuracy100.0%
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
✓accuracy100.0%
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
✓accuracy97.3%
#s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
✓accuracy100.0%
(/.f64 (sinh.f64 y) y)
✓accuracy100.0%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
✓accuracy100.0%
(sinh.f64 y)
✓accuracy80.4%
#s(approx (cos x) #s(literal 1 binary64))
✓accuracy100.0%
(cos.f64 x)
✓accuracy97.1%
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
✓accuracy100.0%
(cos.f64 x)
✓accuracy100.0%
(/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))))
✓accuracy100.0%
(sinh.f64 y)
✓accuracy99.9%
(*.f64 y (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
Samples
56.0ms128×2exit
22.0ms127×0valid
2.0ms1×5exit
Compiler

Compiled 117 to 22 computations (81.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-mult: 12.0ms (28.8% of total)
adjust: 8.0ms (19.2% of total)
const: 6.0ms (14.4% of total)
ival-cos: 6.0ms (14.4% of total)
ival-div: 4.0ms (9.6% of total)
ival-add: 3.0ms (7.2% of total)
ival-sinh: 1.0ms (2.4% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series15.0ms (0.1%)

Memory
-17.7MiB live, 25.6MiB allocated
Counts
16 → 252
Calls
Call 1
Inputs
#s(alt (/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)))) (patch (/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)))) #<representation binary64>) () ())
#s(alt (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (patch (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())
#s(alt (*.f64 y (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) (patch (*.f64 y (/.f64 #s(literal 1/2 binary64) (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 (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())
#s(alt (*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y)) (patch (*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())
#s(alt #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal -1/2 binary64)) (patch (*.f64 x #s(literal -1/2 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor 0 x) (#s(alt (/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)))) (patch (/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) (sinh.f64 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 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)))) (patch (/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) (sinh.f64 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 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)))) (patch (/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) (sinh.f64 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 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)))) (patch (/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf x) (#s(alt (/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)))) (patch (/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf x) (#s(alt (/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)))) (patch (/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf x) (#s(alt (/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)))) (patch (/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf x) (#s(alt (/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)))) (patch (/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)))) (patch (/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)))) (patch (/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)))) (patch (/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)))) (patch (/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor 0 y) (#s(alt (/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)))) (patch (/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (+ (cos x) (* 1/6 (* (pow y 2) (cos x)))) (taylor 0 y) (#s(alt (/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)))) (patch (/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) (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 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)))) (patch (/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) (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 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)))) (patch (/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf y) (#s(alt (/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)))) (patch (/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf y) (#s(alt (/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)))) (patch (/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf y) (#s(alt (/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)))) (patch (/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf y) (#s(alt (/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)))) (patch (/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)))) (patch (/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)))) (patch (/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)))) (patch (/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)))) (patch (/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)))) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 x) (#s(alt (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (patch (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/4 (pow x 2))) (taylor 0 x) (#s(alt (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (patch (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow x 2) (- (* 1/48 (pow x 2)) 1/4))) (taylor 0 x) (#s(alt (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (patch (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/48 (* -1/1440 (pow x 2)))) 1/4))) (taylor 0 x) (#s(alt (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (patch (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (cos x)) (taylor inf x) (#s(alt (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (patch (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (cos x)) (taylor inf x) (#s(alt (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (patch (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (cos x)) (taylor inf x) (#s(alt (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (patch (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (cos x)) (taylor inf x) (#s(alt (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (patch (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (cos x)) (taylor -inf x) (#s(alt (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (patch (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (cos x)) (taylor -inf x) (#s(alt (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (patch (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (cos x)) (taylor -inf x) (#s(alt (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (patch (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (cos x)) (taylor -inf x) (#s(alt (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (patch (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) #<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 (cos x) (taylor inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
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#s(alt (* -1/2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal -1/2 binary64)) (patch (*.f64 x #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
Calls

63 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(* (cos x) 1/2)
1.0ms
y
@-inf
(* y (/ 1/2 (sinh y)))
1.0ms
y
@inf
(* y (/ 1/2 (sinh y)))
0.0ms
y
@0
(* y (/ 1/2 (sinh y)))
0.0ms
y
@inf
(+ (* 1/6 (* y y)) 1)

simplify411.0ms (3.1%)

Memory
6.9MiB live, 639.0MiB allocated
Algorithm
1×egg-herbie
Rules
15 646×lower-fma.f64
15 646×lower-fma.f32
6 208×lower-*.f64
6 208×lower-*.f32
3 008×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01222878
13262843
29462647
328732587
460942587
082442461
Stop Event
1×iter limit
1×node limit
Counts
252 → 251
Calls
Call 1
Inputs
(* 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))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp 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) (* 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))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp 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
(+ 1/2 (* -1/4 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/48 (pow x 2)) 1/4)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/48 (* -1/1440 (pow x 2)))) 1/4)))
(* 1/2 (cos x))
(* 1/2 (cos x))
(* 1/2 (cos x))
(* 1/2 (cos x))
(* 1/2 (cos x))
(* 1/2 (cos x))
(* 1/2 (cos x))
(* 1/2 (cos x))
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)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
1/2
(+ 1/2 (* -1/12 (pow y 2)))
(+ 1/2 (* (pow y 2) (- (* 7/720 (pow y 2)) 1/12)))
(+ 1/2 (* (pow y 2) (- (* (pow y 2) (+ 7/720 (* -31/30240 (pow y 2)))) 1/12)))
(/ y (- (exp y) (/ 1 (exp y))))
(/ y (- (exp y) (/ 1 (exp y))))
(/ y (- (exp y) (/ 1 (exp y))))
(/ y (- (exp y) (/ 1 (exp y))))
(/ y (- (exp y) (/ 1 (exp y))))
(/ y (- (exp y) (/ 1 (exp y))))
(/ y (- (exp y) (/ 1 (exp y))))
(/ y (- (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)))))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp 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) (* 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))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp 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)))))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp 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) (* 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))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp 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
(+ 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)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(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 (/ (- (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))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
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 (- (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 (- (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)))))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp 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) (* 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))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp 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
(+ 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 (/ (- (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))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* 1/6 (pow y 2)))
(* 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))))
(* 1/6 (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 (/ (- (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))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp 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) (* 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))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp 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
(+ 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)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* -1/2 (pow x 2)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* -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))
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
Outputs
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1/2 binary64)) 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)))))
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/48 binary64)) #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 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) y) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/1440 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(cos x)
(cos.f64 x)
(+ (cos x) (* 1/6 (* (pow y 2) (cos x))))
(*.f64 (cos.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))
(*.f64 (cos.f64 x) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #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 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (pow x 2)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/48 (pow x 2)) 1/4)))
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(fma.f64 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) y) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/1440 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(cos x)
(cos.f64 x)
(+ (cos x) (* 1/6 (* (pow y 2) (cos x))))
(*.f64 (cos.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))
(*.f64 (cos.f64 x) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #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 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* 1/6 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* 1/6 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* 1/6 (pow y 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* 1/6 (pow y 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1/2 binary64)) 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)))))
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/48 binary64)) #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 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) y) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/1440 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(cos x)
(cos.f64 x)
(+ (cos x) (* 1/6 (* (pow y 2) (cos x))))
(*.f64 (cos.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))
(*.f64 (cos.f64 x) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #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 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(* -1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(* -1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))

rewrite379.0ms (2.9%)

Memory
-17.5MiB live, 500.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 122×lower-*.f32
5 108×lower-*.f64
5 072×lower-fma.f32
5 068×lower-fma.f64
2 808×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
028115
046115
1127113
2687111
35828111
08801111
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
16 → 633
Calls
Call 1
Inputs
(/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))))
(*.f64 (cos.f64 x) #s(literal 1/2 binary64))
(cos.f64 x)
(*.f64 y (/.f64 #s(literal 1/2 binary64) (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)
(sinh.f64 y)
(*.f64 (cos.f64 x) #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)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y))
#s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal -1/2 binary64))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (sinh.f64 y) (/.f64 (neg.f64 (cos.f64 x)) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 y (*.f64 (sinh.f64 y) #s(literal -2 binary64)))) (*.f64 (sinh.f64 y) (/.f64 (neg.f64 (cos.f64 x)) y)))
(neg.f64 (*.f64 (sinh.f64 y) (/.f64 (neg.f64 (cos.f64 x)) y)))
(neg.f64 (*.f64 (neg.f64 (/.f64 (sinh.f64 y) y)) (cos.f64 x)))
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 y) (/.f64 (neg.f64 (cos.f64 x)) y))))
(neg.f64 (*.f64 (cos.f64 x) (neg.f64 (/.f64 (sinh.f64 y) y))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))))
(neg.f64 (/.f64 (*.f64 (sinh.f64 y) (neg.f64 (cos.f64 x))) y))
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
(/.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 (cos.f64 x) (*.f64 (sinh.f64 y) #s(literal 2 binary64)))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))))
(/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (/.f64 y (*.f64 (sinh.f64 y) #s(literal 2 binary64))))
(/.f64 (sinh.f64 y) (/.f64 y (cos.f64 x)))
(/.f64 (sinh.f64 y) (*.f64 (/.f64 y (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y))))
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(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))) (fma.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1/512 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (-.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/64 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/64 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/16 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (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 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/64 binary64))))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/16 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64))))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 x #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))

eval198.0ms (1.5%)

Memory
33.2MiB live, 256.2MiB allocated
Compiler

Compiled 19 129 to 2 048 computations (89.3% saved)

prune295.0ms (2.2%)

Memory
-37.4MiB live, 347.2MiB allocated
Pruning

18 alts after pruning (15 fresh and 3 done)

PrunedKeptTotal
New1 117151 132
Fresh101
Picked235
Done000
Total1 120181 138
Accuracy
100.0%
Counts
1 138 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶90.2%
(/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)))))
86.0%
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
✓72.3%
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
47.9%
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
▶60.8%
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
64.1%
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
▶53.5%
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
✓64.7%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
59.1%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
54.0%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
58.8%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
▶45.6%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
45.6%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
✓48.2%
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
38.6%
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
34.1%
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
35.6%
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
▶28.8%
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))
Compiler

Compiled 564 to 319 computations (43.4% saved)

simplify430.0ms (3.3%)

Memory
9.0MiB live, 331.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x #s(literal -1/2 binary64))
✓cost-diff0
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓cost-diff0
#s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓cost-diff0
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
✓cost-diff0
(*.f64 x #s(literal -1/2 binary64))
✓cost-diff0
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓cost-diff0
#s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓cost-diff0
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
✓cost-diff0
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
✓cost-diff0
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
✓cost-diff0
#s(approx (cos x) #s(literal 1 binary64))
✓cost-diff0
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
✓cost-diff0
#s(approx (cos x) #s(literal 1 binary64))
✓cost-diff0
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))
✓cost-diff0
(*.f64 y (/.f64 #s(literal 1/2 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
✓cost-diff0
(cos.f64 x)
✓cost-diff0
(*.f64 (cos.f64 x) #s(literal 1/2 binary64))
✓cost-diff1024
(/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)))))
Rules
4 450×lower-fma.f32
4 440×lower-fma.f64
4 108×lower-*.f32
4 090×lower-*.f64
2 784×lower--.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034327
057315
1112313
2197311
3367311
4611311
51381311
63783311
76395311
08081311
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)))))
(*.f64 (cos.f64 x) #s(literal 1/2 binary64))
(cos.f64 x)
x
#s(literal 1/2 binary64)
(*.f64 y (/.f64 #s(literal 1/2 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
y
(/.f64 #s(literal 1/2 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)))
#s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(*.f64 y y)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
(*.f64 y (*.f64 y 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)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (cos x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
y
(*.f64 y #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
x
(*.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
y
(*.f64 y #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
x
(*.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 y y)
y
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
Outputs
(/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)))))
(*.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (cos.f64 x))
(cos.f64 x)
x
#s(literal 1/2 binary64)
(*.f64 y (/.f64 #s(literal 1/2 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)))
y
(/.f64 #s(literal 1/2 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)))
(/.f64 #s(literal 1/2 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)))
#s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))
#s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(*.f64 y y)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
(*.f64 y (*.f64 y 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)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (cos x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
y
(*.f64 y #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
x
(*.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
y
(*.f64 y #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
x
(*.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 y y)
y
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)

localize199.0ms (1.5%)

Memory
11.5MiB live, 284.0MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
✓accuracy100.0%
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
✓accuracy97.4%
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
✓accuracy78.7%
#s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓accuracy100.0%
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
✓accuracy99.7%
(*.f64 y #s(literal 1/6 binary64))
✓accuracy97.3%
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
✓accuracy78.7%
#s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓accuracy100.0%
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
✓accuracy99.7%
(*.f64 y #s(literal 1/6 binary64))
✓accuracy97.3%
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
✓accuracy80.4%
#s(approx (cos x) #s(literal 1 binary64))
✓accuracy97.1%
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))
✓accuracy80.4%
#s(approx (cos x) #s(literal 1 binary64))
✓accuracy100.0%
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)
✓accuracy99.9%
(*.f64 y (*.f64 y y))
✓accuracy99.9%
(*.f64 y (/.f64 #s(literal 1/2 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
✓accuracy97.4%
#s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))
Samples
64.0ms128×2exit
57.0ms127×0valid
2.0ms1×5exit
Compiler

Compiled 192 to 31 computations (83.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 88.0ms
ival-cos: 30.0ms (34.1% of total)
ival-mult: 22.0ms (25% of total)
adjust: 12.0ms (13.6% of total)
const: 10.0ms (11.4% of total)
ival-add: 8.0ms (9.1% of total)
ival-div: 5.0ms (5.7% of total)
ival-sinh: 1.0ms (1.1% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series22.0ms (0.2%)

Memory
-5.8MiB live, 34.3MiB allocated
Counts
20 → 300
Calls
Call 1
Inputs
#s(alt (/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))))) (patch (/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))))) #<representation binary64>) () ())
#s(alt (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (patch (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())
#s(alt (*.f64 y (/.f64 #s(literal 1/2 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) (patch (*.f64 y (/.f64 #s(literal 1/2 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) 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) #s(literal 1 binary64)) (patch #s(approx (cos x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (patch (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (patch (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (patch (*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal -1/2 binary64)) (patch (*.f64 x #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (patch (*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (patch #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #<representation binary64>) () ())
#s(alt (*.f64 y (*.f64 y y)) (patch (*.f64 y (*.f64 y y)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) (patch (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) #<representation binary64>) () ())
#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor 0 x) (#s(alt (/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))))) (patch (/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))))) #<representation binary64>) () ())) ())
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#s(alt (pow y 3) (taylor 0 y) (#s(alt (*.f64 y (*.f64 y y)) (patch (*.f64 y (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 3) (taylor 0 y) (#s(alt (*.f64 y (*.f64 y y)) (patch (*.f64 y (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 3) (taylor inf y) (#s(alt (*.f64 y (*.f64 y y)) (patch (*.f64 y (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 3) (taylor inf y) (#s(alt (*.f64 y (*.f64 y y)) (patch (*.f64 y (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 3) (taylor inf y) (#s(alt (*.f64 y (*.f64 y y)) (patch (*.f64 y (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 3) (taylor inf y) (#s(alt (*.f64 y (*.f64 y y)) (patch (*.f64 y (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 3) (taylor -inf y) (#s(alt (*.f64 y (*.f64 y y)) (patch (*.f64 y (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 3) (taylor -inf y) (#s(alt (*.f64 y (*.f64 y y)) (patch (*.f64 y (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 3) (taylor -inf y) (#s(alt (*.f64 y (*.f64 y y)) (patch (*.f64 y (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 3) (taylor -inf y) (#s(alt (*.f64 y (*.f64 y y)) (patch (*.f64 y (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 y) (#s(alt (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) (patch (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* 1/6 (pow y 2)))) (taylor 0 y) (#s(alt (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) (patch (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (taylor 0 y) (#s(alt (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) (patch (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (taylor 0 y) (#s(alt (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) (patch (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) #<representation binary64>) () ())) ())
#s(alt (* 1/120 (pow y 5)) (taylor inf y) (#s(alt (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) (patch (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) #<representation binary64>) () ())) ())
#s(alt (* (pow y 5) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) (taylor inf y) (#s(alt (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) (patch (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) #<representation binary64>) () ())) ())
#s(alt (* (pow y 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) (taylor inf y) (#s(alt (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) (patch (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) #<representation binary64>) () ())) ())
#s(alt (* (pow y 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) (taylor inf y) (#s(alt (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) (patch (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) #<representation binary64>) () ())) ())
#s(alt (* 1/120 (pow y 5)) (taylor -inf y) (#s(alt (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) (patch (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) #<representation binary64>) () ())) ())
#s(alt (* (pow y 5) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) (patch (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow y 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow y 2))) (pow y 2))) 1/120))) (taylor -inf y) (#s(alt (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) (patch (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow y 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow y 2))) (pow y 2))) 1/120))) (taylor -inf y) (#s(alt (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) (patch (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) #<representation binary64>) () ())) ())
#s(alt (* 1/6 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/6 (pow y 2))) (taylor 0 y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (taylor 0 y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) (taylor 0 y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor inf y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor inf y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor inf y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor inf y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor -inf y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor -inf y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor -inf y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor -inf y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1/6 (taylor 0 y) (#s(alt (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/6 (* 1/120 (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/6 (* 1/120 (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/6 (* 1/120 (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/120 (pow y 2)) (taylor inf y) (#s(alt (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) (taylor inf y) (#s(alt (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) (taylor inf y) (#s(alt (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) (taylor inf y) (#s(alt (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/120 (pow y 2)) (taylor -inf y) (#s(alt (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
Calls

75 calls:

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

simplify776.0ms (5.9%)

Memory
24.8MiB live, 620.0MiB allocated
Algorithm
1×egg-herbie
Rules
14 914×lower-fma.f64
14 914×lower-fma.f32
5 818×lower-*.f64
5 818×lower-*.f32
3 210×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01443168
13893121
210932929
332822867
470422867
083292727
Stop Event
1×iter limit
1×node limit
Counts
300 → 298
Calls
Call 1
Inputs
(* 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))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp 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) (* 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))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp 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
(+ 1/2 (* -1/4 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/48 (pow x 2)) 1/4)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/48 (* -1/1440 (pow x 2)))) 1/4)))
(* 1/2 (cos x))
(* 1/2 (cos x))
(* 1/2 (cos x))
(* 1/2 (cos x))
(* 1/2 (cos x))
(* 1/2 (cos x))
(* 1/2 (cos x))
(* 1/2 (cos x))
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)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
1/2
(+ 1/2 (* -1/12 (pow y 2)))
(+ 1/2 (* (pow y 2) (- (* 7/720 (pow y 2)) 1/12)))
(+ 1/2 (* (pow y 2) (- (* (pow y 2) (+ 7/720 (* -31/30240 (pow y 2)))) 1/12)))
(/ y (- (exp y) (/ 1 (exp y))))
(/ y (- (exp y) (/ 1 (exp y))))
(/ y (- (exp y) (/ 1 (exp y))))
(/ y (- (exp y) (/ 1 (exp y))))
(/ y (- (exp y) (/ 1 (exp y))))
(/ y (- (exp y) (/ 1 (exp y))))
(/ y (- (exp y) (/ 1 (exp y))))
(/ y (- (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)))))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp 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) (* 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))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp 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
(+ 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)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(* 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))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp 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) (* 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))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp 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
(+ 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 (/ (- (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))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* 1/6 (pow y 2)))
(* 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))))
(* 1/6 (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 (/ (- (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))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp 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) (* 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))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp 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
(+ 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)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* -1/2 (pow x 2)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* -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))
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* 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))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp 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) (* 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))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp 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))
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 (- (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 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
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 (* 1/120 (pow y 2))))))
(* 1/120 (pow y 5))
(* (pow y 5) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* (pow y 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* 1/120 (pow y 5))
(* (pow y 5) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow y 2))) (pow y 2))) 1/120)))
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow y 2))) (pow y 2))) 1/120)))
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
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 (/ (- (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))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
1/6
(+ 1/6 (* 1/120 (pow y 2)))
(+ 1/6 (* 1/120 (pow y 2)))
(+ 1/6 (* 1/120 (pow y 2)))
(* 1/120 (pow y 2))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* 1/120 (pow y 2))
(* (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)))))
Outputs
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 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 #s(literal -1/4 binary64) (*.f64 x x) #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 x (*.f64 x #s(literal 1/48 binary64)) #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 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 x x) y)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/1440 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(cos x)
(cos.f64 x)
(+ (cos x) (* 1/6 (* (pow y 2) (cos x))))
(*.f64 (cos.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))
(*.f64 (cos.f64 x) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #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 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (pow x 2)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/48 (pow x 2)) 1/4)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/48 (* -1/1440 (pow x 2)))) 1/4)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/1440 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(* 1/2 (cos x))
(*.f64 #s(literal 1/2 binary64) (cos.f64 x))
(* 1/2 (cos x))
(*.f64 #s(literal 1/2 binary64) (cos.f64 x))
(* 1/2 (cos x))
(*.f64 #s(literal 1/2 binary64) (cos.f64 x))
(* 1/2 (cos x))
(*.f64 #s(literal 1/2 binary64) (cos.f64 x))
(* 1/2 (cos x))
(*.f64 #s(literal 1/2 binary64) (cos.f64 x))
(* 1/2 (cos x))
(*.f64 #s(literal 1/2 binary64) (cos.f64 x))
(* 1/2 (cos x))
(*.f64 #s(literal 1/2 binary64) (cos.f64 x))
(* 1/2 (cos x))
(*.f64 #s(literal 1/2 binary64) (cos.f64 x))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
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(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))

rewrite348.0ms (2.6%)

Memory
-0.2MiB live, 554.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 480×lower-fma.f32
6 470×lower-fma.f64
5 060×lower-*.f32
5 042×lower-*.f64
4 064×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034224
057214
1189212
21188210
08235210
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 383
Calls
Call 1
Inputs
(/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)))))
(*.f64 (cos.f64 x) #s(literal 1/2 binary64))
(cos.f64 x)
(*.f64 y (/.f64 #s(literal 1/2 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal -1/2 binary64))
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))
(*.f64 y (*.f64 y y))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(*.f64 y #s(literal 1/6 binary64))
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 (neg.f64 (cos.f64 x)) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (*.f64 y #s(literal -1/2 binary64)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) (*.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 (neg.f64 (cos.f64 x)) y)))
(neg.f64 (*.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 (neg.f64 (cos.f64 x)) y)))
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 (neg.f64 (cos.f64 x)) y))))
(neg.f64 (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y) #s(literal -2 binary64)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
(neg.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y) (/.f64 #s(literal -1/2 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))))))
(neg.f64 (/.f64 (/.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) y) (/.f64 #s(literal 1/2 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)))))
(neg.f64 (/.f64 (*.f64 (/.f64 (cos.f64 x) y) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) (/.f64 y (cos.f64 x))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (/.f64 (*.f64 #s(literal 1/2 binary64) y) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
(/.f64 (cos.f64 x) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) y) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) #s(literal 2 binary64)))
(/.f64 (cos.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) y))
(/.f64 (cos.f64 x) (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) (*.f64 (/.f64 (cos.f64 x) y) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (cos.f64 x) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y) #s(literal 2 binary64))))
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y (cos.f64 x)) (/.f64 #s(literal -1/2 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)))))
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) (/.f64 y (cos.f64 x))))
(/.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) (/.f64 (*.f64 y #s(literal -1/2 binary64)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
(/.f64 (/.f64 (cos.f64 x) y) (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 y (cos.f64 x)))
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (*.f64 (/.f64 y (*.f64 #s(literal 1/2 binary64) (cos.f64 x))) #s(literal 1/2 binary64)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y) (/.f64 #s(literal 1/2 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)))))
(/.f64 (/.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) y) (/.f64 #s(literal -1/2 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
(/.f64 (*.f64 (/.f64 (cos.f64 x) y) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) y)
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) (*.f64 #s(literal 1/2 binary64) y))
(/.f64 (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) (neg.f64 y)))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (neg.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) (*.f64 y #s(literal -1/2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) (*.f64 (/.f64 y (*.f64 #s(literal 1/2 binary64) (cos.f64 x))) #s(literal -1/2 binary64)))
(/.f64 (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) (*.f64 y #s(literal -1/2 binary64)))
(/.f64 (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 y #s(literal -1/2 binary64)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
(/.f64 (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) (neg.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) (*.f64 (neg.f64 y) #s(literal -1/2 binary64)))
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) #s(literal 1/2 binary64))
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y) (neg.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) #s(literal -1/2 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 (cos.f64 x) y) #s(literal 1/2 binary64))) (/.f64 #s(literal -1/2 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
(/.f64 (neg.f64 (*.f64 (cos.f64 x) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))))) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
(/.f64 (*.f64 (cos.f64 x) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) y)
(pow.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (*.f64 #s(literal 1/2 binary64) y))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (cos.f64 x) y) (/.f64 #s(literal 1/2 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 (*.f64 (/.f64 (cos.f64 x) y) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) #s(literal 1 binary64))
(*.f64 (cos.f64 x) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cos.f64 x) y) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 (cos.f64 x)) (/.f64 (*.f64 #s(literal 1/2 binary64) y) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)))))
(*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) (neg.f64 (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (*.f64 #s(literal 1/2 binary64) y))))
(*.f64 (/.f64 (cos.f64 x) y) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)))
(*.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 (cos.f64 x) y))
(*.f64 (*.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))))) #s(literal -1 binary64)))
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64))) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64))) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (/.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64))) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (fma.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64))) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64))) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (/.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64))) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) (*.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64))) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal 1/216 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))))
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal 1/216 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/14400 binary64)) #s(literal 1/720 binary64))))))
(*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
(*.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal 1/216 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))))))
(*.f64 (neg.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64))))
(*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal -1/120 binary64)))))

eval431.0ms (3.3%)

Memory
16.2MiB live, 206.9MiB allocated
Compiler

Compiled 25 413 to 1 735 computations (93.2% saved)

prune135.0ms (1%)

Memory
-23.0MiB live, 238.6MiB allocated
Pruning

26 alts after pruning (21 fresh and 5 done)

PrunedKeptTotal
New90815923
Fresh4610
Picked325
Done033
Total91526941
Accuracy
100.0%
Counts
941 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶90.2%
(/.f64 (cos.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) y))
86.0%
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
✓72.3%
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
55.2%
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
47.9%
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
64.1%
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
60.7%
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 y (*.f64 y #s(literal 1/120 binary64)))) #s(literal 1 binary64))))
29.1%
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y 1/6)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
▶45.0%
(*.f64 #s(approx (cos x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
42.5%
(*.f64 #s(approx (cos x) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
45.0%
(*.f64 #s(approx (cos x) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
15.6%
(*.f64 #s(approx (cos x) #s(approx (+ (* x (* x -1/2)) 1) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
54.0%
(*.f64 #s(approx (cos x) #s(approx (+ (* x (* x -1/2)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
✓64.7%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
59.1%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
▶58.8%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
58.8%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
▶54.0%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
✓45.6%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
28.6%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1/1296 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))))
19.9%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y 1/6)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
✓48.2%
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
38.6%
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
34.1%
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
▶35.6%
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
✓28.8%
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))
Compiler

Compiled 997 to 541 computations (45.7% saved)

simplify334.0ms (2.5%)

Memory
10.2MiB live, 398.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64))
✓cost-diff0
(/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
✓cost-diff0
#s(approx (cos x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
✓cost-diff0
(*.f64 #s(approx (cos x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
✓cost-diff0
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))
✓cost-diff0
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
✓cost-diff0
#s(approx (cos x) #s(literal 1 binary64))
✓cost-diff0
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
✓cost-diff0
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
✓cost-diff0
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
✓cost-diff0
#s(approx (cos x) #s(literal 1 binary64))
✓cost-diff0
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
✓cost-diff0
(*.f64 x #s(literal -1/2 binary64))
✓cost-diff0
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓cost-diff0
#s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓cost-diff0
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)))
✓cost-diff0
(cos.f64 x)
✓cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) y)
✓cost-diff384
(/.f64 (cos.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) y))
Rules
8 070×lower-fma.f32
8 050×lower-fma.f64
3 168×lower-*.f32
3 142×lower-*.f64
1 650×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048448
085436
1165432
2301428
3682420
41116420
51415420
61990420
73047420
83927420
95139420
105783420
116462420
127086420
08113416
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (cos.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) y))
(cos.f64 x)
x
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) y)
(/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)))
#s(literal 1 binary64)
#s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
y
(*.f64 y #s(literal 1/120 binary64))
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
(*.f64 y (*.f64 y y))
(*.f64 y y)
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
x
(*.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (cos x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
y
(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(*.f64 y #s(literal 1/120 binary64))
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (cos x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 y y)
y
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #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)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
(*.f64 #s(approx (cos x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (cos x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64))
(*.f64 x x)
x
(*.f64 (*.f64 x x) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
#s(literal -1 binary64)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
(*.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
y
(*.f64 y #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(literal 1 binary64)
Outputs
(/.f64 (cos.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) y))
(/.f64 (*.f64 #s(approx (sinh y) (fma.f64 y (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) y)) (cos.f64 x)) y)
(cos.f64 x)
x
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) y)
(/.f64 y #s(approx (sinh y) (fma.f64 y (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) y)))
(/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)))
(/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 y (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) y)))
#s(literal 1 binary64)
#s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))
#s(approx (sinh y) (fma.f64 y (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) y))
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(fma.f64 y (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) y)
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
y
(*.f64 y #s(literal 1/120 binary64))
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
(*.f64 y (*.f64 y y))
(*.f64 y y)
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
x
(*.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (cos x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
y
(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(*.f64 y #s(literal 1/120 binary64))
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (cos x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(*.f64 y y)
y
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))
#s(literal 1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
(*.f64 #s(approx (cos x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #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 (cos x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64))
(*.f64 x x)
x
(*.f64 (*.f64 x x) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
#s(literal -1 binary64)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
(*.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 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 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
y
(*.f64 y #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(literal 1 binary64)

localize814.0ms (6.2%)

Memory
-32.9MiB live, 371.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.7%
(*.f64 y #s(literal 1/6 binary64))
✓accuracy97.3%
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
✓accuracy83.5%
(/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
✓accuracy78.7%
#s(approx (cos x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
✓accuracy100.0%
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
✓accuracy99.9%
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
✓accuracy97.4%
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
✓accuracy80.4%
#s(approx (cos x) #s(literal 1 binary64))
✓accuracy99.9%
(*.f64 y #s(literal 1/120 binary64))
✓accuracy99.8%
(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
✓accuracy97.4%
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
✓accuracy80.4%
#s(approx (cos x) #s(literal 1 binary64))
✓accuracy100.0%
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓accuracy100.0%
(*.f64 x #s(literal -1/2 binary64))
✓accuracy97.1%
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
✓accuracy78.7%
#s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓accuracy99.9%
(*.f64 y (*.f64 y y))
✓accuracy99.9%
(*.f64 y #s(literal 1/120 binary64))
✓accuracy99.9%
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) y)
✓accuracy97.4%
#s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))
Samples
344.0ms128×2exit
48.0ms127×0valid
3.0ms1×5exit
Compiler

Compiled 281 to 47 computations (83.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 341.0ms
ival-add: 250.0ms (73.3% of total)
ival-mult: 38.0ms (11.1% of total)
adjust: 20.0ms (5.9% of total)
const: 14.0ms (4.1% of total)
ival-cos: 11.0ms (3.2% of total)
ival-div: 6.0ms (1.8% of total)
exact: 1.0ms (0.3% of total)
ival-sinh: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series30.0ms (0.2%)

Memory
12.1MiB live, 49.6MiB allocated
Counts
27 → 384
Calls
Call 1
Inputs
#s(alt (/.f64 (cos.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) y)) (patch (/.f64 (cos.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) y)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) y) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) y) #<representation binary64>) () ())
#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) (patch (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) #<representation binary64>) () ())
#s(alt #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (patch #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal -1/2 binary64)) (patch (*.f64 x #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 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (patch (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #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 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (patch (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (patch (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (cos x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (patch (*.f64 #s(approx (cos x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (cos x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (patch #s(approx (cos x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (patch (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (patch #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #<representation binary64>) () ())
#s(alt (*.f64 y #s(literal 1/120 binary64)) (patch (*.f64 y #s(literal 1/120 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 y (*.f64 y y)) (patch (*.f64 y (*.f64 y y)) #<representation binary64>) () ())
#s(alt (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (patch (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (patch (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor 0 x) (#s(alt (/.f64 (cos.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) y)) (patch (/.f64 (cos.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) 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 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) y)) (patch (/.f64 (cos.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) 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 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) y)) (patch (/.f64 (cos.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) 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 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) y)) (patch (/.f64 (cos.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf x) (#s(alt (/.f64 (cos.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) y)) (patch (/.f64 (cos.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf x) (#s(alt (/.f64 (cos.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) y)) (patch (/.f64 (cos.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf x) (#s(alt (/.f64 (cos.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) y)) (patch (/.f64 (cos.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf x) (#s(alt (/.f64 (cos.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) y)) (patch (/.f64 (cos.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (/.f64 (cos.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) y)) (patch (/.f64 (cos.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (/.f64 (cos.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) y)) (patch (/.f64 (cos.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (/.f64 (cos.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) y)) (patch (/.f64 (cos.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (/.f64 (cos.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) y)) (patch (/.f64 (cos.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) y)) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor 0 y) (#s(alt (/.f64 (cos.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) y)) (patch (/.f64 (cos.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) y)) #<representation binary64>) () ())) ())
#s(alt (+ (cos x) (* 1/6 (* (pow y 2) (cos x)))) (taylor 0 y) (#s(alt (/.f64 (cos.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) y)) (patch (/.f64 (cos.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) y)) #<representation binary64>) () ())) ())
#s(alt (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))) (taylor 0 y) (#s(alt (/.f64 (cos.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) y)) (patch (/.f64 (cos.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) 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 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) y)) (patch (/.f64 (cos.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) 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 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) y)) (patch (/.f64 (cos.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) 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 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) y)) (patch (/.f64 (cos.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) 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 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) y)) (patch (/.f64 (cos.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) 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 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) y)) (patch (/.f64 (cos.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) 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 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) y)) (patch (/.f64 (cos.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) 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 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) y)) (patch (/.f64 (cos.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) 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 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) y)) (patch (/.f64 (cos.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) 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 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) y)) (patch (/.f64 (cos.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) y) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/6 (pow y 2))) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) y) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (- (* 7/360 (pow y 2)) 1/6))) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) y) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) 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 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) y) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ y (- (exp y) (/ 1 (exp y))))) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) y) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ y (- (exp y) (/ 1 (exp y))))) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) y) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ y (- (exp y) (/ 1 (exp y))))) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) y) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ y (- (exp y) (/ 1 (exp y))))) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) y) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) y) #<representation binary64>) () ())) ())
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#s(alt (* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) (taylor inf y) (#s(alt (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) (taylor inf y) (#s(alt (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) (taylor inf y) (#s(alt (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/5040 (pow y 2)) (taylor -inf y) (#s(alt (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/6 (pow y 2))) (taylor 0 y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (taylor 0 y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) (taylor 0 y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor inf y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor inf y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor inf y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor inf y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor -inf y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor -inf y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor -inf y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor -inf y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
Calls

96 calls:

TimeVariablePointExpression
3.0ms
y
@0
(* (/ 1 (sinh y)) y)
1.0ms
x
@inf
(/ (+ (* (* x x) (* (* x x) 1/4)) -1) (+ (* x (* x -1/2)) -1))
1.0ms
y
@-inf
(* (/ 1 (sinh y)) y)
1.0ms
y
@inf
(* (/ 1 (sinh y)) y)
1.0ms
x
@0
(/ (+ (* (* x x) (* (* x x) 1/4)) -1) (+ (* x (* x -1/2)) -1))

simplify457.0ms (3.5%)

Memory
15.8MiB live, 645.4MiB allocated
Algorithm
1×egg-herbie
Rules
14 312×lower-fma.f64
14 312×lower-fma.f32
5 194×lower-*.f64
5 194×lower-*.f32
3 338×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01553824
14303783
211663585
333963545
477523545
081283348
Stop Event
1×iter limit
1×node limit
Counts
384 → 383
Calls
Call 1
Inputs
(* 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))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp 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) (* 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))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp 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
(+ 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)))
(* 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)))))
(* 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
(+ 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)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(/ 1 y)
(/ (+ 1 (* -1/6 (pow y 2))) y)
(/ (+ 1 (* (pow y 2) (- (* 7/360 (pow y 2)) 1/6))) y)
(/ (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 7/360 (* -31/15120 (pow y 2)))) 1/6))) y)
(/ 2 (- (exp y) (/ 1 (exp y))))
(/ 2 (- (exp y) (/ 1 (exp y))))
(/ 2 (- (exp y) (/ 1 (exp y))))
(/ 2 (- (exp y) (/ 1 (exp y))))
(/ 2 (- (exp y) (/ 1 (exp y))))
(/ 2 (- (exp y) (/ 1 (exp y))))
(/ 2 (- (exp y) (/ 1 (exp y))))
(/ 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)))))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp 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) (* 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))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp 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
(+ 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)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* -1/2 (pow x 2)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* -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))
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* 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))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp 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) (* 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))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp 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
(+ 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)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(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 (/ (- (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))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
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)))))
(* 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)))))
(* 1/120 (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 (/ (- (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))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp 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) (* 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))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp 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
(+ 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 (/ (- (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))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
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)))))))
(* 1/5040 (pow y 6))
(* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))
(* 1/5040 (pow y 6))
(* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))
(* 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))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp 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) (* 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))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp 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
(+ 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)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* -1/2 (pow x 2)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* -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))
-1
(- (* 1/4 (pow x 4)) 1)
(- (* 1/4 (pow x 4)) 1)
(- (* 1/4 (pow x 4)) 1)
(* 1/4 (pow x 4))
(* (pow x 4) (- 1/4 (/ 1 (pow x 4))))
(* (pow x 4) (- 1/4 (/ 1 (pow x 4))))
(* (pow x 4) (- 1/4 (/ 1 (pow x 4))))
(* 1/4 (pow x 4))
(* (pow x 4) (- 1/4 (/ 1 (pow x 4))))
(* (pow x 4) (- 1/4 (/ 1 (pow x 4))))
(* (pow x 4) (- 1/4 (/ 1 (pow x 4))))
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 (- (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 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(* 1/6 y)
(* y (+ 1/6 (* 1/120 (pow y 2))))
(* y (+ 1/6 (* 1/120 (pow y 2))))
(* y (+ 1/6 (* 1/120 (pow y 2))))
(* 1/120 (pow y 3))
(* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* 1/120 (pow y 3))
(* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* 1/120 y)
(* y (+ 1/120 (* 1/5040 (pow y 2))))
(* y (+ 1/120 (* 1/5040 (pow y 2))))
(* y (+ 1/120 (* 1/5040 (pow y 2))))
(* 1/5040 (pow y 3))
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* 1/5040 (pow y 3))
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
1/120
(+ 1/120 (* 1/5040 (pow y 2)))
(+ 1/120 (* 1/5040 (pow y 2)))
(+ 1/120 (* 1/5040 (pow y 2)))
(* 1/5040 (pow y 2))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* 1/5040 (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
(+ 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 (/ (- (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))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
Outputs
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) 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 #s(literal -1/4 binary64) (*.f64 x x) #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) (*.f64 (*.f64 x x) #s(literal 1/48 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #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 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 x x) y))) (fma.f64 (*.f64 x x) #s(literal -1/1440 binary64) #s(literal 1/48 binary64))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y))
(cos x)
(cos.f64 x)
(+ (cos x) (* 1/6 (* (pow y 2) (cos x))))
(*.f64 (cos.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))
(*.f64 (cos.f64 x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #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 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y))
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 7/360 (pow y 2)) 1/6)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 7/360 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 7/360 (* -31/15120 (pow y 2)))) 1/6)))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -31/15120 binary64)) #s(literal 7/360 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(* 2 (/ y (- (exp y) (/ 1 (exp y)))))
(/.f64 (*.f64 y #s(literal 2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 2 (/ y (- (exp y) (/ 1 (exp y)))))
(/.f64 (*.f64 y #s(literal 2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 2 (/ y (- (exp y) (/ 1 (exp y)))))
(/.f64 (*.f64 y #s(literal 2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 2 (/ y (- (exp y) (/ 1 (exp y)))))
(/.f64 (*.f64 y #s(literal 2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 2 (/ y (- (exp y) (/ 1 (exp y)))))
(/.f64 (*.f64 y #s(literal 2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 2 (/ y (- (exp y) (/ 1 (exp y)))))
(/.f64 (*.f64 y #s(literal 2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 2 (/ y (- (exp y) (/ 1 (exp y)))))
(/.f64 (*.f64 y #s(literal 2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 2 (/ y (- (exp y) (/ 1 (exp y)))))
(/.f64 (*.f64 y #s(literal 2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (+ 1 (* -1/6 (pow y 2))) y)
(/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) y)
(/ (+ 1 (* (pow y 2) (- (* 7/360 (pow y 2)) 1/6))) y)
(/.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 7/360 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)) y)
(/ (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 7/360 (* -31/15120 (pow y 2)))) 1/6))) y)
(/.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -31/15120 binary64)) #s(literal 7/360 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)) y)
(/ 2 (- (exp y) (/ 1 (exp y))))
(/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/ 2 (- (exp y) (/ 1 (exp y))))
(/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/ 2 (- (exp y) (/ 1 (exp y))))
(/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/ 2 (- (exp y) (/ 1 (exp y))))
(/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/ 2 (- (exp y) (/ 1 (exp y))))
(/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/ 2 (- (exp y) (/ 1 (exp y))))
(/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/ 2 (- (exp y) (/ 1 (exp y))))
(/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/ 2 (- (exp y) (/ 1 (exp y))))
(/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) 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 #s(literal -1/4 binary64) (*.f64 x x) #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) (*.f64 (*.f64 x x) #s(literal 1/48 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1/2 binary64))))
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(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* y (+ 1/6 (* 1/120 (pow y 2))))
(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(* y (+ 1/6 (* 1/120 (pow y 2))))
(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(* y (+ 1/6 (* 1/120 (pow y 2))))
(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(* 1/120 (pow y 3))
(*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y y)))
(* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(* 1/120 (pow y 3))
(*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y y)))
(* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(* 1/120 y)
(*.f64 y #s(literal 1/120 binary64))
(* y (+ 1/120 (* 1/5040 (pow y 2))))
(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))
(* y (+ 1/120 (* 1/5040 (pow y 2))))
(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))
(* y (+ 1/120 (* 1/5040 (pow y 2))))
(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))
(* 1/5040 (pow y 3))
(*.f64 y (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))
(* 1/5040 (pow y 3))
(*.f64 y (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))
1/120
#s(literal 1/120 binary64)
(+ 1/120 (* 1/5040 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))
(+ 1/120 (* 1/5040 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))
(+ 1/120 (* 1/5040 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))
(* 1/5040 (pow y 2))
(*.f64 y (*.f64 y #s(literal 1/5040 binary64)))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))
(* 1/5040 (pow y 2))
(*.f64 y (*.f64 y #s(literal 1/5040 binary64)))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))

rewrite473.0ms (3.6%)

Memory
13.5MiB live, 650.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 576×lower-fma.f32
6 556×lower-fma.f64
4 552×lower-/.f32
4 546×lower-/.f64
4 070×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048352
085320
1303302
22039302
08310301
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
27 → 496
Calls
Call 1
Inputs
(/.f64 (cos.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) y))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) y)
(cos.f64 x)
(/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal -1/2 binary64))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #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 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 #s(approx (cos x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (cos x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64))
#s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))
(*.f64 y #s(literal 1/120 binary64))
(*.f64 y (*.f64 y y))
(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 y #s(literal 1/6 binary64))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 (cos.f64 x) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) (/.f64 (cos.f64 x) (/.f64 (neg.f64 y) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)))))
(neg.f64 (/.f64 (cos.f64 x) (/.f64 (neg.f64 y) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)))))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (cos.f64 x) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (cos.f64 x) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y (*.f64 (cos.f64 x) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) (*.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) (/.f64 (cos.f64 x) y)))
(/.f64 (cos.f64 x) (/.f64 y #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 (cos.f64 x) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))))))
(/.f64 (neg.f64 (cos.f64 x)) (/.f64 (neg.f64 y) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
(/.f64 (*.f64 (cos.f64 x) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) y)
(/.f64 (neg.f64 (neg.f64 (cos.f64 x))) (neg.f64 (/.f64 (neg.f64 y) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)))))
(/.f64 (neg.f64 (*.f64 (cos.f64 x) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) (neg.f64 y))
(/.f64 (*.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 y #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
(/.f64 (/.f64 (cos.f64 x) y) (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
(/.f64 (neg.f64 (*.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (neg.f64 y) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (cos.f64 x)))) (neg.f64 (neg.f64 (/.f64 (neg.f64 y) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (cos.f64 x) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (/.f64 (cos.f64 x) y)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)))))
(pow.f64 (/.f64 y (*.f64 (cos.f64 x) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 (cos.f64 x) y)))
(*.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (/.f64 (cos.f64 x) y))
(*.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (pow.f64 (/.f64 y (cos.f64 x)) #s(literal -1 binary64)))
(*.f64 (cos.f64 x) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
(*.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)))))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y) (cos.f64 x))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (cos.f64 x) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
(*.f64 (*.f64 (cos.f64 x) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
(*.f64 (/.f64 (cos.f64 x) y) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)))
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(*.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/14400 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))))
#s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(*.f64 y #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) y)

eval349.0ms (2.6%)

Memory
-147.2MiB live, 280.6MiB allocated
Compiler

Compiled 25 646 to 1 736 computations (93.2% saved)

prune311.0ms (2.4%)

Memory
-26.2MiB live, 414.4MiB allocated
Pruning

36 alts after pruning (29 fresh and 7 done)

PrunedKeptTotal
New90218920
Fresh51116
Picked325
Done055
Total91036946
Accuracy
100.0%
Counts
946 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓90.2%
(/.f64 (cos.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) y))
86.0%
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
✓72.3%
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
58.8%
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #s(approx (cos x) #s(literal 1 binary64)))
55.2%
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
47.9%
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
57.8%
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
64.1%
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
60.7%
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 y (*.f64 y #s(literal 1/120 binary64)))) #s(literal 1 binary64))))
29.1%
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y 1/6)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
29.3%
(*.f64 #s(approx (cos x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
41.3%
(*.f64 #s(approx (cos x) (/.f64 #s(approx (+ (* (* x x) (* (* x x) 1/4)) -1) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
15.6%
(*.f64 #s(approx (cos x) #s(approx (/ (+ (* (* x x) (* (* x x) 1/4)) -1) (+ (* x (* x -1/2)) -1)) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
54.0%
(*.f64 #s(approx (cos x) #s(approx (+ (* x (* x -1/2)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
✓64.7%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
59.1%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
58.8%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/5040 binary64) (*.f64 y #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
33.4%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) y) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64))))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
42.0%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (/.f64 (*.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/14400 binary64)) y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
42.0%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (*.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/14400 binary64)) y))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
58.8%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y #s(literal 1/5040 binary64)) y #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
58.8%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
54.0%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))))
54.0%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/120 binary64)) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))))
✓45.6%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
33.7%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (/.f64 (fma.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y))) #s(literal -1 binary64)) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)))))
28.3%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))))
28.1%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 y (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y y)))))))
19.9%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y 1/6)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
✓48.2%
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
38.6%
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
34.1%
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
✓35.6%
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
29.3%
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (*.f64 (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/4 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))))
10.6%
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* x (* x -1/2)) 1) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))
✓28.8%
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))
Compiler

Compiled 1 776 to 593 computations (66.6% saved)

regimes135.0ms (1%)

Memory
30.3MiB live, 146.4MiB allocated
Counts
55 → 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) #s(approx (+ (* x (* x -1/2)) 1) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y 1/6)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #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 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 y (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y y)))))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))))
(*.f64 #s(approx (cos x) #s(approx (+ (* x (* x -1/2)) 1) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (/ (+ (* (* x x) (* (* x x) 1/4)) -1) (+ (* x (* x -1/2)) -1)) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y 1/6)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #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 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* x (* x -1/2)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 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 y (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/120 binary64)) (*.f64 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 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 y (*.f64 y #s(literal 1/120 binary64)))) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y #s(literal 1/5040 binary64)) y #s(literal 1/120 binary64))) #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 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (/.f64 #s(approx (+ (* (* x x) (* (* x x) 1/4)) -1) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #s(approx (cos x) #s(literal 1 binary64)))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/5040 binary64) (*.f64 y #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (*.f64 (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/4 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))))
(*.f64 #s(approx (cos x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
(*.f64 #s(approx (cos x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 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 (*.f64 y y) (fma.f64 y (/.f64 (*.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/14400 binary64)) y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (*.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/14400 binary64)) y))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (/.f64 (fma.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y))) #s(literal -1 binary64)) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)))))
(*.f64 #s(approx (cos x) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1/1296 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))))
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) y) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64))))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.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 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y))
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(/.f64 (cos.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) y))
(/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)))))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))))
Outputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Calls

5 calls:

75.0ms
x
17.0ms
(cos.f64 x)
15.0ms
y
14.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
12.0ms
(/.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 25 to 17 computations (32% saved)

regimes78.0ms (0.6%)

Memory
-0.1MiB live, 158.5MiB allocated
Counts
53 → 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) #s(approx (+ (* x (* x -1/2)) 1) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y 1/6)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #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 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 y (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y y)))))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))))
(*.f64 #s(approx (cos x) #s(approx (+ (* x (* x -1/2)) 1) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (/ (+ (* (* x x) (* (* x x) 1/4)) -1) (+ (* x (* x -1/2)) -1)) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y 1/6)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #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 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* x (* x -1/2)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 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 y (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/120 binary64)) (*.f64 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 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 y (*.f64 y #s(literal 1/120 binary64)))) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y #s(literal 1/5040 binary64)) y #s(literal 1/120 binary64))) #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 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (/.f64 #s(approx (+ (* (* x x) (* (* x x) 1/4)) -1) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #s(approx (cos x) #s(literal 1 binary64)))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/5040 binary64) (*.f64 y #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (*.f64 (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/4 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))))
(*.f64 #s(approx (cos x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
(*.f64 #s(approx (cos x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 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 (*.f64 y y) (fma.f64 y (/.f64 (*.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/14400 binary64)) y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (*.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/14400 binary64)) y))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (/.f64 (fma.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y))) #s(literal -1 binary64)) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)))))
(*.f64 #s(approx (cos x) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1/1296 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))))
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) y) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64))))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.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 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y))
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(/.f64 (cos.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) y))
(/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)))))
Outputs
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
Calls

5 calls:

16.0ms
(cos.f64 x)
16.0ms
y
15.0ms
x
15.0ms
(/.f64 (sinh.f64 y) y)
12.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
95.5%2x
98.0%3y
100.0%3(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
95.5%2(cos.f64 x)
90.2%1(/.f64 (sinh.f64 y) y)
Compiler

Compiled 25 to 17 computations (32% saved)

regimes15.0ms (0.1%)

Memory
-5.7MiB live, 33.0MiB allocated
Counts
49 → 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) #s(approx (+ (* x (* x -1/2)) 1) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y 1/6)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #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 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 y (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y y)))))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))))
(*.f64 #s(approx (cos x) #s(approx (+ (* x (* x -1/2)) 1) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (/ (+ (* (* x x) (* (* x x) 1/4)) -1) (+ (* x (* x -1/2)) -1)) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y 1/6)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #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 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* x (* x -1/2)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 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 y (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/120 binary64)) (*.f64 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 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 y (*.f64 y #s(literal 1/120 binary64)))) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y #s(literal 1/5040 binary64)) y #s(literal 1/120 binary64))) #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 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (/.f64 #s(approx (+ (* (* x x) (* (* x x) 1/4)) -1) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #s(approx (cos x) #s(literal 1 binary64)))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/5040 binary64) (*.f64 y #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (*.f64 (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/4 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))))
(*.f64 #s(approx (cos x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
(*.f64 #s(approx (cos x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 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 (*.f64 y y) (fma.f64 y (/.f64 (*.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/14400 binary64)) y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (*.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/14400 binary64)) y))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (/.f64 (fma.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y))) #s(literal -1 binary64)) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)))))
(*.f64 #s(approx (cos x) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1/1296 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))))
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) y) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64))))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.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 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y))
Outputs
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) 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 (sinh.f64 y) y))
Calls

1 calls:

12.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
99.9%3(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes16.0ms (0.1%)

Memory
-27.4MiB live, 27.5MiB allocated
Counts
47 → 3
Calls
Call 1
Inputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* x (* x -1/2)) 1) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y 1/6)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #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 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 y (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y y)))))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))))
(*.f64 #s(approx (cos x) #s(approx (+ (* x (* x -1/2)) 1) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (/ (+ (* (* x x) (* (* x x) 1/4)) -1) (+ (* x (* x -1/2)) -1)) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y 1/6)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #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 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* x (* x -1/2)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 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 y (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/120 binary64)) (*.f64 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 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 y (*.f64 y #s(literal 1/120 binary64)))) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y #s(literal 1/5040 binary64)) y #s(literal 1/120 binary64))) #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 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (/.f64 #s(approx (+ (* (* x x) (* (* x x) 1/4)) -1) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #s(approx (cos x) #s(literal 1 binary64)))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/5040 binary64) (*.f64 y #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (*.f64 (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/4 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))))
(*.f64 #s(approx (cos x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
(*.f64 #s(approx (cos x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 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 (*.f64 y y) (fma.f64 y (/.f64 (*.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/14400 binary64)) y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (*.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/14400 binary64)) y))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (/.f64 (fma.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y))) #s(literal -1 binary64)) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)))))
(*.f64 #s(approx (cos x) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1/1296 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))))
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) y) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64))))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
Outputs
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (* (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:

14.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
99.8%3(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes83.0ms (0.6%)

Memory
0.3MiB live, 76.7MiB allocated
Counts
46 → 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) #s(approx (+ (* x (* x -1/2)) 1) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y 1/6)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #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 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 y (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y y)))))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))))
(*.f64 #s(approx (cos x) #s(approx (+ (* x (* x -1/2)) 1) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (/ (+ (* (* x x) (* (* x x) 1/4)) -1) (+ (* x (* x -1/2)) -1)) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y 1/6)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #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 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* x (* x -1/2)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 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 y (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/120 binary64)) (*.f64 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 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 y (*.f64 y #s(literal 1/120 binary64)))) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y #s(literal 1/5040 binary64)) y #s(literal 1/120 binary64))) #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 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (/.f64 #s(approx (+ (* (* x x) (* (* x x) 1/4)) -1) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #s(approx (cos x) #s(literal 1 binary64)))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/5040 binary64) (*.f64 y #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (*.f64 (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/4 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))))
(*.f64 #s(approx (cos x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
(*.f64 #s(approx (cos x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 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 (*.f64 y y) (fma.f64 y (/.f64 (*.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/14400 binary64)) y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (*.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/14400 binary64)) y))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (/.f64 (fma.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y))) #s(literal -1 binary64)) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)))))
(*.f64 #s(approx (cos x) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1/1296 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))))
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) y) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64))))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
Calls

4 calls:

27.0ms
y
13.0ms
x
12.0ms
(cos.f64 x)
11.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
72.6%3x
77.8%3(cos.f64 x)
84.7%2y
94.6%3(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes65.0ms (0.5%)

Memory
29.3MiB live, 67.3MiB allocated
Counts
44 → 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) #s(approx (+ (* x (* x -1/2)) 1) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y 1/6)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #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 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 y (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y y)))))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))))
(*.f64 #s(approx (cos x) #s(approx (+ (* x (* x -1/2)) 1) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (/ (+ (* (* x x) (* (* x x) 1/4)) -1) (+ (* x (* x -1/2)) -1)) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y 1/6)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #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 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* x (* x -1/2)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 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 y (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/120 binary64)) (*.f64 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 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 y (*.f64 y #s(literal 1/120 binary64)))) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y #s(literal 1/5040 binary64)) y #s(literal 1/120 binary64))) #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 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (/.f64 #s(approx (+ (* (* x x) (* (* x x) 1/4)) -1) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #s(approx (cos x) #s(literal 1 binary64)))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/5040 binary64) (*.f64 y #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (*.f64 (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/4 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))))
(*.f64 #s(approx (cos x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
(*.f64 #s(approx (cos x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 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 (*.f64 y y) (fma.f64 y (/.f64 (*.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/14400 binary64)) y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (*.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/14400 binary64)) y))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (/.f64 (fma.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y))) #s(literal -1 binary64)) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)))))
(*.f64 #s(approx (cos x) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1/1296 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))))
Outputs
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
Calls

4 calls:

31.0ms
y
11.0ms
(cos.f64 x)
10.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
10.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
75.4%2(cos.f64 x)
66.1%2y
65.7%2(/.f64 (sinh.f64 y) y)
75.4%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes39.0ms (0.3%)

Memory
-8.8MiB live, 32.4MiB allocated
Counts
35 → 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) #s(approx (+ (* x (* x -1/2)) 1) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y 1/6)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #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 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 y (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y y)))))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))))
(*.f64 #s(approx (cos x) #s(approx (+ (* x (* x -1/2)) 1) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (/ (+ (* (* x x) (* (* x x) 1/4)) -1) (+ (* x (* x -1/2)) -1)) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y 1/6)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #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 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* x (* x -1/2)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 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 y (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/120 binary64)) (*.f64 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 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 y (*.f64 y #s(literal 1/120 binary64)))) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y #s(literal 1/5040 binary64)) y #s(literal 1/120 binary64))) #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 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (/.f64 #s(approx (+ (* (* x x) (* (* x x) 1/4)) -1) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #s(approx (cos x) #s(literal 1 binary64)))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/5040 binary64) (*.f64 y #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (*.f64 (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/4 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))))
(*.f64 #s(approx (cos x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
Calls

2 calls:

28.0ms
(cos.f64 x)
9.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
75.1%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
75.1%2(cos.f64 x)
Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes22.0ms (0.2%)

Memory
4.3MiB live, 40.4MiB allocated
Counts
33 → 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) #s(approx (+ (* x (* x -1/2)) 1) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y 1/6)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #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 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 y (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y y)))))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))))
(*.f64 #s(approx (cos x) #s(approx (+ (* x (* x -1/2)) 1) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (/ (+ (* (* x x) (* (* x x) 1/4)) -1) (+ (* x (* x -1/2)) -1)) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y 1/6)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #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 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* x (* x -1/2)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 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 y (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/120 binary64)) (*.f64 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 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 y (*.f64 y #s(literal 1/120 binary64)))) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y #s(literal 1/5040 binary64)) y #s(literal 1/120 binary64))) #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 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (/.f64 #s(approx (+ (* (* x x) (* (* x x) 1/4)) -1) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #s(approx (cos x) #s(literal 1 binary64)))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/5040 binary64) (*.f64 y #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (*.f64 (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/4 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))))
(*.f64 #s(approx (cos x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
Outputs
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 y (*.f64 y #s(literal 1/120 binary64)))) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
Calls

2 calls:

11.0ms
(cos.f64 x)
8.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
74.4%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
74.4%2(cos.f64 x)
Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes15.0ms (0.1%)

Memory
-4.8MiB live, 32.8MiB allocated
Counts
22 → 2
Calls
Call 1
Inputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* x (* x -1/2)) 1) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y 1/6)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #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 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 y (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y y)))))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))))
(*.f64 #s(approx (cos x) #s(approx (+ (* x (* x -1/2)) 1) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (/ (+ (* (* x x) (* (* x x) 1/4)) -1) (+ (* x (* x -1/2)) -1)) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y 1/6)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #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 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* x (* x -1/2)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 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 y (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/120 binary64)) (*.f64 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 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 y (*.f64 y #s(literal 1/120 binary64)))) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 y (*.f64 y #s(literal 1/120 binary64)))) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
Calls

2 calls:

7.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
7.0ms
(cos.f64 x)
Results
AccuracySegmentsBranch
74.4%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
74.4%2(cos.f64 x)
Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes14.0ms (0.1%)

Memory
0.4MiB live, 38.7MiB allocated
Counts
21 → 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) #s(approx (+ (* x (* x -1/2)) 1) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y 1/6)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #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 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 y (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y y)))))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))))
(*.f64 #s(approx (cos x) #s(approx (+ (* x (* x -1/2)) 1) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (/ (+ (* (* x x) (* (* x x) 1/4)) -1) (+ (* x (* x -1/2)) -1)) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y 1/6)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #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 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* x (* x -1/2)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 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 y (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/120 binary64)) (*.f64 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 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (cos x) #s(approx (+ (* x (* x -1/2)) 1) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 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 (*.f64 y y) (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
Calls

2 calls:

7.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
6.0ms
(cos.f64 x)
Results
AccuracySegmentsBranch
73.3%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
73.3%2(cos.f64 x)
Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes22.0ms (0.2%)

Memory
4.7MiB live, 48.1MiB 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) #s(approx (+ (* x (* x -1/2)) 1) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y 1/6)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #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 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 y (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y y)))))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))))
(*.f64 #s(approx (cos x) #s(approx (+ (* x (* x -1/2)) 1) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (/ (+ (* (* x x) (* (* x x) 1/4)) -1) (+ (* x (* x -1/2)) -1)) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y 1/6)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #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 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* x (* x -1/2)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 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 y (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/120 binary64)) (*.f64 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 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (cos x) #s(approx (+ (* x (* x -1/2)) 1) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 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 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
Calls

3 calls:

8.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
6.0ms
x
6.0ms
(cos.f64 x)
Results
AccuracySegmentsBranch
62.8%3x
68.5%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
68.5%2(cos.f64 x)
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes12.0ms (0.1%)

Memory
-13.8MiB live, 20.8MiB allocated
Counts
13 → 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) #s(approx (+ (* x (* x -1/2)) 1) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y 1/6)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #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 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 y (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y y)))))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))))
(*.f64 #s(approx (cos x) #s(approx (+ (* x (* x -1/2)) 1) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (/ (+ (* (* x x) (* (* x x) 1/4)) -1) (+ (* x (* x -1/2)) -1)) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y 1/6)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
Outputs
(*.f64 #s(approx (cos x) #s(approx (+ (* x (* x -1/2)) 1) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 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 #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) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))))
Calls

2 calls:

7.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
4.0ms
(cos.f64 x)
Results
AccuracySegmentsBranch
68.5%3(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
61.6%3(cos.f64 x)
Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes11.0ms (0.1%)

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

3 calls:

4.0ms
y
3.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
3.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
54.0%2(/.f64 (sinh.f64 y) y)
56.1%3y
63.3%3(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes4.0ms (0%)

Memory
8.1MiB live, 8.1MiB allocated
Counts
9 → 3
Calls
Call 1
Inputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* x (* x -1/2)) 1) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y 1/6)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #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 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 y (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y y)))))))
Outputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* x (* x -1/2)) 1) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #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) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 y (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y y)))))))
Calls

1 calls:

3.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
63.3%3(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes24.0ms (0.2%)

Memory
-17.5MiB live, 21.8MiB 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) #s(approx (+ (* x (* x -1/2)) 1) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y 1/6)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #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 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
Outputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* x (* x -1/2)) 1) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
Calls

3 calls:

18.0ms
x
3.0ms
(cos.f64 x)
3.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
56.4%3(cos.f64 x)
52.9%3x
54.8%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes5.0ms (0%)

Memory
12.1MiB live, 12.1MiB allocated
Counts
6 → 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) #s(approx (+ (* x (* x -1/2)) 1) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y 1/6)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #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 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
Outputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* x (* x -1/2)) 1) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
Calls

2 calls:

2.0ms
(cos.f64 x)
2.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
54.8%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
54.8%2(cos.f64 x)
Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes34.0ms (0.3%)

Memory
-20.1MiB live, 19.5MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* x (* x -1/2)) 1) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y 1/6)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
Outputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* x (* x -1/2)) 1) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y 1/6)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
Calls

4 calls:

28.0ms
(/.f64 (sinh.f64 y) y)
2.0ms
y
2.0ms
(cos.f64 x)
2.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
45.4%2(/.f64 (sinh.f64 y) y)
50.8%3y
54.7%3(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
41.0%3(cos.f64 x)
Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes10.0ms (0.1%)

Memory
24.8MiB live, 24.8MiB 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) #s(approx (+ (* x (* x -1/2)) 1) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
Outputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* x (* x -1/2)) 1) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))
Calls

5 calls:

2.0ms
y
2.0ms
x
2.0ms
(cos.f64 x)
2.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
1.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
37.9%2(cos.f64 x)
37.3%2(/.f64 (sinh.f64 y) y)
37.3%2y
35.6%1x
37.9%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 25 to 17 computations (32% saved)

regimes8.0ms (0.1%)

Memory
-24.1MiB live, 18.4MiB 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:

3.0ms
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
28.8%1x
28.8%1(/.f64 (sinh.f64 y) y)
28.8%1y
28.8%1(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
28.8%1(cos.f64 x)
Compiler

Compiled 25 to 17 computations (32% saved)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.0000000000717095
6.998379396826682e+32
0.0ms
-inf
-0.9999864117582101
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.0000000000717095
6.998379396826682e+32
0.0ms
-inf
-0.9999864117582101
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.9999999999999689
1.0
0.0ms
-inf
-0.9999864117582101
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.9999801586345954
0.9999999999999689
0.0ms
-inf
-0.9999864117582101
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.010565536448333905
0.0033994682804443185
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.010565536448333905
0.0033994682804443185
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.010565536448333905
0.0033994682804443185
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.010565536448333905
0.0033994682804443185
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.010565536448333905
0.0033994682804443185
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.010565536448333905
0.0033994682804443185
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.0000000000717095
6.998379396826682e+32
0.0ms
-0.010565536448333905
0.0033994682804443185
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.0000000000717095
6.998379396826682e+32
0.0ms
-0.010565536448333905
0.0033994682804443185
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.0000000000717095
6.998379396826682e+32
0.0ms
-0.010565536448333905
0.0033994682804443185
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.8MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.994878504905547
0.998145657261334
0.0ms
-0.010565536448333905
0.0033994682804443185
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.010565536448333905
0.0033994682804443185
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.0000000000717095
6.998379396826682e+32
0.0ms
-0.010565536448333905
0.0033994682804443185
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.010565536448333905
0.0033994682804443185
Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify16.0ms (0.1%)

Memory
0.8MiB live, 39.6MiB allocated
Algorithm
1×egg-herbie
Rules
66×*-commutative_binary64
2×1-exp_binary64
2×1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01481252
11841252
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2 binary64)) (*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #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 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2 binary64)) (*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))))
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1125899906842589/1125899906842624 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x)) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))))
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 9007109182748445/9007199254740992 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x)) (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))))
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -5764607523034235/576460752303423488 binary64)) (*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y)))
(if (<=.f64 (cos.f64 x) #s(literal -5764607523034235/576460752303423488 binary64)) (*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))))
(if (<=.f64 (cos.f64 x) #s(literal -5764607523034235/576460752303423488 binary64)) (*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 y (*.f64 y #s(literal 1/120 binary64)))) #s(literal 1 binary64)))) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))))
(if (<=.f64 (cos.f64 x) #s(literal -5764607523034235/576460752303423488 binary64)) (*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 y (*.f64 y #s(literal 1/120 binary64)))) #s(literal 1 binary64)))) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 (cos.f64 x) #s(literal -5764607523034235/576460752303423488 binary64)) (*.f64 #s(approx (cos x) #s(approx (+ (* x (* x -1/2)) 1) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 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 (*.f64 y y) (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 (cos.f64 x) #s(literal -5764607523034235/576460752303423488 binary64)) (*.f64 #s(approx (cos x) #s(approx (+ (* x (* x -1/2)) 1) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 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 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))))
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -5764607523034235/576460752303423488 binary64)) (*.f64 #s(approx (cos x) #s(approx (+ (* x (* x -1/2)) 1) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2 binary64)) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #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) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))))))
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -5764607523034235/576460752303423488 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* x (* x -1/2)) 1) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2 binary64)) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #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) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))))))
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -5764607523034235/576460752303423488 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* x (* x -1/2)) 1) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2 binary64)) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #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) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 y (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y y)))))))))
(if (<=.f64 (cos.f64 x) #s(literal -5764607523034235/576460752303423488 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* x (* x -1/2)) 1) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))) (if (<=.f64 (cos.f64 x) #s(literal 8962163258467287/9007199254740992 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))))
(if (<=.f64 (cos.f64 x) #s(literal -5764607523034235/576460752303423488 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* x (* x -1/2)) 1) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #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 -5764607523034235/576460752303423488 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* x (* x -1/2)) 1) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y 1/6)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))))
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -5764607523034235/576460752303423488 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* x (* x -1/2)) 1) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))) #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))
Outputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2 binary64)) (*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #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 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2 binary64)) (*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (*.f64 (/.f64 (sinh.f64 y) y) #s(approx (cos x) #s(literal 1 binary64)))))
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2 binary64)) (*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))))
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2 binary64)) (*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 (/.f64 (sinh.f64 y) y) #s(approx (cos x) #s(literal 1 binary64)))))
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1125899906842589/1125899906842624 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x)) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))))
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1125899906842589/1125899906842624 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x)) (*.f64 (/.f64 (sinh.f64 y) y) #s(approx (cos x) #s(literal 1 binary64)))))
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 9007109182748445/9007199254740992 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x)) (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))))
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 9007109182748445/9007199254740992 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x)) (*.f64 #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -5764607523034235/576460752303423488 binary64)) (*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y)))
(if (<=.f64 (cos.f64 x) #s(literal -5764607523034235/576460752303423488 binary64)) (*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))))
(if (<=.f64 (cos.f64 x) #s(literal -5764607523034235/576460752303423488 binary64)) (*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 y (*.f64 y #s(literal 1/120 binary64)))) #s(literal 1 binary64)))) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))))
(if (<=.f64 (cos.f64 x) #s(literal -5764607523034235/576460752303423488 binary64)) (*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 y (*.f64 y #s(literal 1/120 binary64)))) #s(literal 1 binary64)))) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 (cos.f64 x) #s(literal -5764607523034235/576460752303423488 binary64)) (*.f64 #s(approx (cos x) #s(approx (+ (* x (* x -1/2)) 1) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 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 (*.f64 y y) (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 (cos.f64 x) #s(literal -5764607523034235/576460752303423488 binary64)) (*.f64 #s(approx (cos x) #s(approx (+ (* x (* x -1/2)) 1) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 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 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))))
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -5764607523034235/576460752303423488 binary64)) (*.f64 #s(approx (cos x) #s(approx (+ (* x (* x -1/2)) 1) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2 binary64)) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #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) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))))))
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -5764607523034235/576460752303423488 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* x (* x -1/2)) 1) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2 binary64)) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #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) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))))))
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -5764607523034235/576460752303423488 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* x (* x -1/2)) 1) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2 binary64)) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #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) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 y (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y y)))))))))
(if (<=.f64 (cos.f64 x) #s(literal -5764607523034235/576460752303423488 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* x (* x -1/2)) 1) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))) (if (<=.f64 (cos.f64 x) #s(literal 8962163258467287/9007199254740992 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))))
(if (<=.f64 (cos.f64 x) #s(literal -5764607523034235/576460752303423488 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* x (* x -1/2)) 1) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #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 -5764607523034235/576460752303423488 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* x (* x -1/2)) 1) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y 1/6)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))))
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -5764607523034235/576460752303423488 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* x (* x -1/2)) 1) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y 1/6)) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))))
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -5764607523034235/576460752303423488 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* x (* x -1/2)) 1) (*.f64 x (*.f64 x #s(literal -1/2 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)))

soundness1.8s (13.6%)

Memory
1.2MiB live, 1 317.9MiB allocated
Rules
15 646×lower-fma.f64
15 646×lower-fma.f32
14 914×lower-fma.f64
14 914×lower-fma.f32
14 312×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01553824
14303783
211663585
333963545
477523545
081283348
084686
1241679
2746635
32420627
45288623
57976623
08400593
01222878
13262843
29462647
328732587
460942587
082442461
01443168
13893121
210932929
332822867
470422867
083292727
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×node limit
Compiler

Compiled 1 826 to 764 computations (58.2% saved)

preprocess176.0ms (1.3%)

Memory
-12.2MiB live, 276.7MiB allocated
Remove

(abs x)

(abs y)

Compiler

Compiled 2 248 to 454 computations (79.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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