Linear.Quaternion:$ccosh from linear-1.19.1.3

Time bar (total: 11.1s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze11.0ms (0.1%)

Memory
-18.5MiB live, 19.9MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
50%50%50%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
75%74.9%25%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
87.5%87.4%12.5%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
93.8%93.7%6.2%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
96.9%96.8%3.1%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
98.4%98.3%1.6%0.1%0%0%0%12
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample916.0ms (8.3%)

Memory
31.7MiB live, 1 096.4MiB allocated
Samples
671.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 424.0ms
ival-sin: 254.0ms (60% of total)
ival-div: 62.0ms (14.6% of total)
ival-mult: 54.0ms (12.7% of total)
ival-sinh: 45.0ms (10.6% of total)
ival-true: 6.0ms (1.4% of total)
ival-assert: 3.0ms (0.7% of total)
Bogosity

explain80.0ms (0.7%)

Memory
4.3MiB live, 165.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
280-1(2.156335575487365e-141 2.608218277711256e-181)(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
00-0-(sinh.f64 y)
00-0-y
00-0-(*.f64 (sin.f64 x) (sinh.f64 y))
00-0-(sin.f64 x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)u/n270
(*.f64 (sin.f64 x) (sinh.f64 y))underflow27
Confusion
Predicted +Predicted -
+271
-0228
Precision
1.0
Recall
0.9642857142857143
Confusion?
Predicted +Predicted MaybePredicted -
+2701
-00228
Precision?
1.0
Recall?
0.9642857142857143
Freqs
test
numberfreq
0229
127
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
37.0ms512×0valid
Compiler

Compiled 49 to 22 computations (55.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-sin: 12.0ms (50.4% of total)
ival-sinh: 5.0ms (21% of total)
ival-div: 4.0ms (16.8% of total)
ival-mult: 3.0ms (12.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess371.0ms (3.3%)

Memory
-0.9MiB live, 194.7MiB allocated
Algorithm
egg-herbie
Rules
2 532×lower-fma.f64
2 532×lower-fma.f32
1 668×lower-*.f32
1 666×lower-*.f64
944×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01841
16041
219237
370837
4223137
5529237
6733437
067
0107
1197
2397
3787
41637
53437
68677
717697
830257
940487
1045407
1146177
1246177
1346177
1450377
1552217
1652217
1752217
1852217
1952597
2053457
2153457
2253457
053457
Stop Event
iter limit
saturated
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Outputs
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Symmetry

(abs x)

(negabs y)

Compiler

Compiled 9 to 6 computations (33.3% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB 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
89.9%
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify280.0ms (2.5%)

Memory
-7.8MiB live, 121.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sinh.f64 y)
cost-diff0
(sin.f64 x)
cost-diff0
(*.f64 (sin.f64 x) (sinh.f64 y))
cost-diff0
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Rules
2 532×lower-fma.f64
2 532×lower-fma.f32
1 668×lower-*.f32
1 666×lower-*.f64
944×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0618
01018
11918
23918
37818
416318
534318
686718
7176918
8302518
9404818
10454018
11461718
12461718
13461718
14503718
15522118
16522118
17522118
18522118
19525918
20534518
21534518
22534518
0534518
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
(*.f64 (sin.f64 x) (sinh.f64 y))
(sin.f64 x)
x
(sinh.f64 y)
y
Outputs
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
(*.f64 (sin.f64 x) (sinh.f64 y))
(sin.f64 x)
x
(sinh.f64 y)
y

localize26.0ms (0.2%)

Memory
7.0MiB live, 43.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(sin.f64 x)
accuracy0.01171875
(sinh.f64 y)
accuracy0.07421875
(*.f64 (sin.f64 x) (sinh.f64 y))
accuracy6.423468187473505
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Samples
20.0ms256×0valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-sin: 6.0ms (45.6% of total)
ival-mult: 4.0ms (30.4% of total)
ival-div: 2.0ms (15.2% of total)
ival-sinh: 1.0ms (7.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series36.0ms (0.3%)

Memory
2.6MiB live, 44.4MiB allocated
Counts
4 → 72
Calls
Call 1
Inputs
#s(alt (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) (patch (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #<representation binary64>) () ())
#s(alt (*.f64 (sin.f64 x) (sinh.f64 y)) (patch (*.f64 (sin.f64 x) (sinh.f64 y)) #<representation binary64>) () ())
#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())
#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())
Outputs
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor 0 x) (#s(alt (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) (patch (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))) (taylor 0 x) (#s(alt (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) (patch (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))) (taylor 0 x) (#s(alt (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) (patch (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))) (taylor 0 x) (#s(alt (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) (patch (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor inf x) (#s(alt (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) (patch (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor inf x) (#s(alt (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) (patch (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor inf x) (#s(alt (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) (patch (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor inf x) (#s(alt (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) (patch (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) (patch (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) (patch (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) (patch (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) (patch (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (/ (* y (sin x)) x) (taylor 0 y) (#s(alt (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) (patch (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) (taylor 0 y) (#s(alt (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) (patch (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))) (taylor 0 y) (#s(alt (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) (patch (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x))) (taylor 0 y) (#s(alt (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) (patch (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor inf y) (#s(alt (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) (patch (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor inf y) (#s(alt (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) (patch (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor inf y) (#s(alt (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) (patch (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor inf y) (#s(alt (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) (patch (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf y) (#s(alt (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) (patch (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf y) (#s(alt (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) (patch (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf y) (#s(alt (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) (patch (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf y) (#s(alt (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) (patch (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x (- (exp y) (/ 1 (exp y))))) (taylor 0 x) (#s(alt (*.f64 (sin.f64 x) (sinh.f64 y)) (patch (*.f64 (sin.f64 x) (sinh.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))) (taylor 0 x) (#s(alt (*.f64 (sin.f64 x) (sinh.f64 y)) (patch (*.f64 (sin.f64 x) (sinh.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))) (taylor 0 x) (#s(alt (*.f64 (sin.f64 x) (sinh.f64 y)) (patch (*.f64 (sin.f64 x) (sinh.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))) (taylor 0 x) (#s(alt (*.f64 (sin.f64 x) (sinh.f64 y)) (patch (*.f64 (sin.f64 x) (sinh.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) (taylor inf x) (#s(alt (*.f64 (sin.f64 x) (sinh.f64 y)) (patch (*.f64 (sin.f64 x) (sinh.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) (taylor inf x) (#s(alt (*.f64 (sin.f64 x) (sinh.f64 y)) (patch (*.f64 (sin.f64 x) (sinh.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) (taylor inf x) (#s(alt (*.f64 (sin.f64 x) (sinh.f64 y)) (patch (*.f64 (sin.f64 x) (sinh.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) (taylor inf x) (#s(alt (*.f64 (sin.f64 x) (sinh.f64 y)) (patch (*.f64 (sin.f64 x) (sinh.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) (taylor -inf x) (#s(alt (*.f64 (sin.f64 x) (sinh.f64 y)) (patch (*.f64 (sin.f64 x) (sinh.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) (taylor -inf x) (#s(alt (*.f64 (sin.f64 x) (sinh.f64 y)) (patch (*.f64 (sin.f64 x) (sinh.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) (taylor -inf x) (#s(alt (*.f64 (sin.f64 x) (sinh.f64 y)) (patch (*.f64 (sin.f64 x) (sinh.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) (taylor -inf x) (#s(alt (*.f64 (sin.f64 x) (sinh.f64 y)) (patch (*.f64 (sin.f64 x) (sinh.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (sin x)) (taylor 0 y) (#s(alt (*.f64 (sin.f64 x) (sinh.f64 y)) (patch (*.f64 (sin.f64 x) (sinh.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))) (taylor 0 y) (#s(alt (*.f64 (sin.f64 x) (sinh.f64 y)) (patch (*.f64 (sin.f64 x) (sinh.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))) (taylor 0 y) (#s(alt (*.f64 (sin.f64 x) (sinh.f64 y)) (patch (*.f64 (sin.f64 x) (sinh.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))) (taylor 0 y) (#s(alt (*.f64 (sin.f64 x) (sinh.f64 y)) (patch (*.f64 (sin.f64 x) (sinh.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) (taylor inf y) (#s(alt (*.f64 (sin.f64 x) (sinh.f64 y)) (patch (*.f64 (sin.f64 x) (sinh.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) (taylor inf y) (#s(alt (*.f64 (sin.f64 x) (sinh.f64 y)) (patch (*.f64 (sin.f64 x) (sinh.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) (taylor inf y) (#s(alt (*.f64 (sin.f64 x) (sinh.f64 y)) (patch (*.f64 (sin.f64 x) (sinh.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) (taylor inf y) (#s(alt (*.f64 (sin.f64 x) (sinh.f64 y)) (patch (*.f64 (sin.f64 x) (sinh.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) (taylor -inf y) (#s(alt (*.f64 (sin.f64 x) (sinh.f64 y)) (patch (*.f64 (sin.f64 x) (sinh.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) (taylor -inf y) (#s(alt (*.f64 (sin.f64 x) (sinh.f64 y)) (patch (*.f64 (sin.f64 x) (sinh.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) (taylor -inf y) (#s(alt (*.f64 (sin.f64 x) (sinh.f64 y)) (patch (*.f64 (sin.f64 x) (sinh.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) (taylor -inf y) (#s(alt (*.f64 (sin.f64 x) (sinh.f64 y)) (patch (*.f64 (sin.f64 x) (sinh.f64 y)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/6 (pow x 2)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<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

18 calls:

TimeVariablePointExpression
26.0ms
y
@0
(/ (* (sin x) (sinh y)) x)
3.0ms
y
@-inf
(/ (* (sin x) (sinh y)) x)
2.0ms
y
@inf
(/ (* (sin x) (sinh y)) x)
1.0ms
x
@inf
(/ (* (sin x) (sinh y)) x)
1.0ms
x
@-inf
(/ (* (sin x) (sinh y)) x)

simplify522.0ms (4.7%)

Memory
-16.1MiB live, 333.5MiB allocated
Algorithm
egg-herbie
Rules
15 192×lower-fma.f64
15 192×lower-fma.f32
6 376×lower-+.f64
6 376×lower-+.f32
3 958×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0113944
1373889
21229849
33047828
08158792
Stop Event
iter limit
node limit
Counts
72 → 70
Calls
Call 1
Inputs
(* 1/2 (- (exp y) (/ 1 (exp y))))
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(/ (* y (sin x)) x)
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (* x (- (exp y) (/ 1 (exp y)))))
(* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))))
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))))
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* y (sin x))
(* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))))
(* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))))
(* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
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))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))
(fma.f64 (*.f64 x x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) #s(literal -1/12 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) x))
(/ (* y (sin x)) x)
(*.f64 y (/.f64 (sin.f64 x) x))
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))
(*.f64 y (*.f64 (/.f64 (sin.f64 x) 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))))
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x)))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) x))
(* 1/2 (* x (- (exp y) (/ 1 (exp y)))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) x))
(* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) #s(literal 1/2 binary64))))
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))))
(*.f64 x (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) #s(literal 1/2 binary64))))
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))))
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) #s(literal -1/12 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(* y (sin x))
(*.f64 y (sin.f64 x))
(* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))))
(*.f64 y (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))))
(*.f64 y (*.f64 (sin.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))))
(* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 (sin.f64 x) (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))) (sin.f64 x)))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
y
(* y (+ 1 (* 1/6 (pow y 2))))
(fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 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 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(* 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))))

rewrite500.0ms (4.5%)

Memory
-1.4MiB live, 319.5MiB allocated
Rules
4 860×lower-*.f32
4 858×lower-*.f64
4 172×lower-/.f32
4 170×lower-/.f64
1 474×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0616
01016
12716
211716
384016
0825716
Stop Event
iter limit
node limit
iter limit
Counts
4 → 495
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
(*.f64 (sin.f64 x) (sinh.f64 y))
(sin.f64 x)
(sinh.f64 y)
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64)) (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x))
(+.f64 (*.f64 (/.f64 (sin.f64 x) x) (*.f64 (exp.f64 y) #s(literal 1/2 binary64))) (*.f64 (/.f64 (sin.f64 x) x) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64))))
(+.f64 (*.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (/.f64 (sin.f64 x) x)) (*.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)) (/.f64 (sin.f64 x) x)))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 x)))
(-.f64 (/.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (/.f64 x (sin.f64 x))) (/.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (/.f64 x (sin.f64 x))))
(fma.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (/.f64 (sin.f64 x) x) (*.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)) (/.f64 (sin.f64 x) x)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64) (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x))
(fma.f64 (/.f64 (sin.f64 x) x) (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (*.f64 (/.f64 (sin.f64 x) x) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64))))
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 x)))
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 1 binary64))
(/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (*.f64 (/.f64 x (sin.f64 x)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) #s(literal -2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (sinh.f64 y))))
(/.f64 (/.f64 (sinh.f64 y) x) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(/.f64 #s(literal -1 binary64) (/.f64 x (neg.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))))
(/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 (/.f64 x (sin.f64 x))))
(/.f64 (*.f64 (sinh.f64 y) #s(literal -2 binary64)) (*.f64 (/.f64 x (sin.f64 x)) #s(literal -2 binary64)))
(/.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) (*.f64 (/.f64 x (sin.f64 x)) (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 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 x) (sinh.f64 y))))
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y)) (*.f64 (/.f64 x (sin.f64 x)) (*.f64 #s(literal 4 binary64) (cosh.f64 y))))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (/.f64 x (sinh.f64 y))))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 x)) #s(literal -1 binary64))
(/.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) #s(literal 2 binary64))) (*.f64 x #s(literal 2 binary64)))
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 #s(literal 1 binary64) (sinh.f64 y)))
(/.f64 (fma.f64 (exp.f64 y) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 y)))) (*.f64 (/.f64 x (sin.f64 x)) #s(literal 4 binary64)))
(/.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) #s(literal -2 binary64))) (*.f64 x #s(literal -2 binary64)))
(/.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) #s(literal 3 binary64))) (*.f64 (neg.f64 x) (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) #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 (/.f64 x (sin.f64 x)) (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 (neg.f64 (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) #s(literal 2 binary64))) (*.f64 (neg.f64 x) (*.f64 (sin.f64 x) (sinh.f64 y))))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) (sinh.f64 y)) (*.f64 (/.f64 x (sin.f64 x)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))))
(/.f64 (*.f64 (*.f64 (sinh.f64 y) #s(literal -2 binary64)) (/.f64 (sin.f64 x) x)) #s(literal -2 binary64))
(/.f64 (*.f64 (sin.f64 x) (/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64))))) (*.f64 x (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 (sin.f64 x) (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y))) (*.f64 x (*.f64 #s(literal 4 binary64) (cosh.f64 y))))
(/.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 (/.f64 x (sin.f64 x)) (+.f64 (exp.f64 (+.f64 y y)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y))))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (sinh.f64 y)) (*.f64 (/.f64 x (sin.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 y))))
(/.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (/.f64 #s(literal -1 binary64) (sinh.f64 y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (*.f64 (sin.f64 x) (sinh.f64 y)))) (*.f64 x x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (neg.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 x #s(literal -2 binary64))) (*.f64 (neg.f64 x) (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) #s(literal 2 binary64))))) (*.f64 (neg.f64 x) (*.f64 x #s(literal -2 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))) (neg.f64 x)) (*.f64 (neg.f64 x) (/.f64 x (neg.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (sinh.f64 y) #s(literal -2 binary64)) (/.f64 (sin.f64 x) x))) #s(literal 2 binary64))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 x) (sinh.f64 y)))) #s(literal 2 binary64))
(/.f64 (/.f64 (sin.f64 x) (/.f64 x (*.f64 (sinh.f64 y) #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (/.f64 (sin.f64 x) (*.f64 #s(literal -1/2 binary64) (/.f64 x (sinh.f64 y)))) #s(literal -2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 x)) (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 x)) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 x)) (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 x)))) (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 x)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) #s(literal 2 binary64)))) #s(literal -2 binary64))
(/.f64 (*.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) #s(literal -2 binary64)))) (*.f64 x #s(literal -2 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) #s(literal -2 binary64)))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (neg.f64 (/.f64 (sin.f64 x) x))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) x)) (/.f64 #s(literal 1 binary64) (sinh.f64 y)))
(/.f64 (*.f64 (sin.f64 x) (*.f64 #s(literal -2 binary64) (/.f64 (sinh.f64 y) x))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sinh.f64 y) #s(literal -2 binary64)) (/.f64 (sin.f64 x) x))) #s(literal -2 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) #s(literal -2 binary64)))) #s(literal -2 binary64))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) #s(literal 3 binary64)))) (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) #s(literal 2 binary64)))) (*.f64 (sin.f64 x) (sinh.f64 y)))
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 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 (/.f64 (sin.f64 x) x) (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y))) (*.f64 #s(literal 4 binary64) (cosh.f64 y)))
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (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 (/.f64 (sin.f64 x) x) (-.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 (/.f64 (sin.f64 x) x) (*.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 (/.f64 (sin.f64 x) x) (*.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 y y)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y)))))
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (sinh.f64 y))) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) (/.f64 (sin.f64 x) x)) (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 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y)) (/.f64 (sin.f64 x) x)) (*.f64 #s(literal 4 binary64) (cosh.f64 y)))
(/.f64 (*.f64 (*.f64 (sinh.f64 y) #s(literal -2 binary64)) (neg.f64 (/.f64 (sin.f64 x) x))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) #s(literal -2 binary64))) #s(literal 1 binary64)) (*.f64 x #s(literal -2 binary64)))
(/.f64 (*.f64 (fma.f64 (exp.f64 y) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 y)))) (/.f64 (sin.f64 x) x)) #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))) (/.f64 (sin.f64 x) x)) (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)) (/.f64 (sin.f64 x) x)) (*.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)) (/.f64 (sin.f64 x) x)) (+.f64 (exp.f64 (+.f64 y y)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y)))))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (sinh.f64 y)) (/.f64 (sin.f64 x) x)) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))
(/.f64 (*.f64 (*.f64 (*.f64 (sinh.f64 y) #s(literal -2 binary64)) (/.f64 (sin.f64 x) x)) #s(literal 1 binary64)) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) (/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) x)) (+.f64 (exp.f64 (+.f64 y y)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y)))))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y)) (/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) x)) (*.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))))) (/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) x)) (neg.f64 (+.f64 (exp.f64 (+.f64 y y)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y))))))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y))) (/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) x)) (*.f64 #s(literal -2 binary64) (cosh.f64 y)))
(/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (sinh.f64 y)) (/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) x)) #s(literal -2 binary64))
(/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) x)) (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) x)) (*.f64 (sin.f64 x) (sinh.f64 y)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 x) (sinh.f64 y))))) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) #s(literal -2 binary64))))) #s(literal -2 binary64))
(/.f64 (/.f64 (/.f64 (sin.f64 x) x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
(/.f64 (/.f64 (/.f64 (sin.f64 x) x) (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))))) (+.f64 (exp.f64 (+.f64 y y)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y)))))
(/.f64 (/.f64 (/.f64 (sin.f64 x) x) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y)))) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))
(pow.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 1 binary64))
(pow.f64 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))) (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))))) #s(literal -1 binary64))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(*.f64 (sinh.f64 y) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) x)))
(*.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 1 binary64))
(*.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) x))
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(/.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 (exp.f64 (+.f64 y y)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y)))))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 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)) (neg.f64 (+.f64 (exp.f64 (+.f64 y y)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y))))))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y))) #s(literal 1/2 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 (/.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 (neg.f64 (sinh.f64 y)) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (sinh.f64 y))
(*.f64 #s(literal -1 binary64) (neg.f64 (sinh.f64 y)))
(*.f64 (neg.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 -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 (exp.f64 (+.f64 y y)) (+.f64 #s(literal 1 binary64) (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 (exp.f64 (+.f64 y y)) (+.f64 #s(literal 1 binary64) (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 (exp.f64 (+.f64 y y)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y))))))
(*.f64 (+.f64 (exp.f64 (+.f64 y y)) (+.f64 #s(literal 1 binary64) (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 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y)) (/.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 y)) #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (cosh.f64 y))))
(*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y)) (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 y)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 4 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 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 (exp.f64 (+.f64 y y)) (+.f64 #s(literal 1 binary64) (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 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 (exp.f64 (+.f64 y y)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y))))))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 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 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y)) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 y)))
(*.f64 (/.f64 (+.f64 (exp.f64 (+.f64 y y)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y)))) #s(literal 2 binary64)) (/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (+.f64 (exp.f64 (+.f64 y y)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) 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 (exp.f64 (+.f64 (+.f64 y y) (+.f64 y y))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 2 binary64)) (fma.f64 #s(literal 1 binary64) (exp.f64 (+.f64 y y)) #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 (+.f64 (+.f64 y y) (+.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 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 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))))

eval62.0ms (0.6%)

Memory
0.5MiB live, 160.1MiB allocated
Compiler

Compiled 9 440 to 1 540 computations (83.7% saved)

prune153.0ms (1.4%)

Memory
30.3MiB live, 228.3MiB allocated
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New55213565
Fresh000
Picked101
Done000
Total55313566
Accuracy
100.0%
Counts
566 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
84.4%
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x)
81.7%
(/.f64 (*.f64 (sin.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))) x)
75.2%
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) x)
51.3%
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (sinh.f64 y)) x)
50.9%
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (sinh.f64 y)) x)
99.9%
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))
99.5%
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
81.7%
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y (*.f64 (sin.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))))) x)
46.2%
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y (sin.f64 x))) x)
99.8%
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
99.8%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (sin.f64 x))) (neg.f64 (sinh.f64 y)))
85.1%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)))
56.1%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 (sin.f64 x) x)))
Compiler

Compiled 390 to 228 computations (41.5% saved)

simplify225.0ms (2%)

Memory
1.6MiB live, 200.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 x)
cost-diff0
(sinh.f64 y)
cost-diff0
(/.f64 (sinh.f64 y) x)
cost-diff0
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
cost-diff0
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
cost-diff0
#s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))
cost-diff0
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (sinh.f64 y))
cost-diff0
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (sinh.f64 y)) x)
cost-diff0
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)
cost-diff0
#s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))
cost-diff0
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (sinh.f64 y))
cost-diff0
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (sinh.f64 y)) x)
cost-diff0
(sin.f64 x)
cost-diff0
(/.f64 (sin.f64 x) x)
cost-diff0
(*.f64 y (/.f64 (sin.f64 x) x))
cost-diff0
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 (sin.f64 x) x)))
cost-diff0
(sin.f64 x)
cost-diff0
(/.f64 x (sin.f64 x))
cost-diff0
(sinh.f64 y)
cost-diff384
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))
Rules
5 328×lower-fma.f32
5 322×lower-fma.f64
3 214×lower-*.f32
3 200×lower-*.f64
1 714×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029213
051199
184199
2150199
3280199
4568199
51008199
62710199
74615199
87053199
08160195
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))
(sinh.f64 y)
y
(/.f64 x (sin.f64 x))
x
(sin.f64 x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 (sin.f64 x) x)))
(*.f64 y (/.f64 (sin.f64 x) x))
y
(/.f64 (sin.f64 x) x)
(sin.f64 x)
x
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (sinh.f64 y)) x)
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (sinh.f64 y))
#s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)
x
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
(*.f64 x x)
#s(literal -1/6 binary64)
(sinh.f64 y)
y
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (sinh.f64 y)) x)
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (sinh.f64 y))
#s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(*.f64 x x)
x
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(*.f64 x (*.f64 x x))
(sinh.f64 y)
y
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
(/.f64 (sinh.f64 y) x)
(sinh.f64 y)
y
x
(sin.f64 x)
Outputs
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))
(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x)
(sinh.f64 y)
y
(/.f64 x (sin.f64 x))
x
(sin.f64 x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 (sin.f64 x) x)))
(*.f64 y (/.f64 (sin.f64 x) x))
y
(/.f64 (sin.f64 x) x)
(sin.f64 x)
x
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (sinh.f64 y)) x)
(/.f64 (*.f64 (sinh.f64 y) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x))) x)
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (sinh.f64 y))
(*.f64 (sinh.f64 y) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)))
#s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))
#s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)
x
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
(*.f64 x x)
#s(literal -1/6 binary64)
(sinh.f64 y)
y
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (sinh.f64 y)) x)
(/.f64 (*.f64 (sinh.f64 y) #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) x)
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (sinh.f64 y))
(*.f64 (sinh.f64 y) #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))
#s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(*.f64 x x)
x
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(*.f64 x (*.f64 x x))
(sinh.f64 y)
y
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x)
(/.f64 (sinh.f64 y) x)
(sinh.f64 y)
y
x
(sin.f64 x)

localize235.0ms (2.1%)

Memory
-33.9MiB live, 173.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(sin.f64 x)
accuracy0.0078125
(/.f64 (sinh.f64 y) x)
accuracy0.01171875
(sinh.f64 y)
accuracy0.09765625
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
accuracy0.08984375
(*.f64 x (*.f64 x x))
accuracy0.48262005091434984
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
accuracy6.423468187473505
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (sinh.f64 y)) x)
accuracy31.968737869637447
#s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))
accuracy0.07421875
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (sinh.f64 y))
accuracy0.38169279178245996
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
accuracy6.423468187473505
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (sinh.f64 y)) x)
accuracy32.0845666256432
#s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))
accuracy0
(sin.f64 x)
accuracy0.1015625
(*.f64 y (/.f64 (sin.f64 x) x))
accuracy0.10546875
(/.f64 (sin.f64 x) x)
accuracy28.025205143982255
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 (sin.f64 x) x)))
accuracy0
(sin.f64 x)
accuracy0.01171875
(sinh.f64 y)
accuracy0.05078125
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))
accuracy0.12109375
(/.f64 x (sin.f64 x))
Samples
138.0ms256×0valid
Compiler

Compiled 143 to 25 computations (82.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 120.0ms
ival-mult: 36.0ms (30.1% of total)
const: 28.0ms (23.4% of total)
ival-div: 23.0ms (19.2% of total)
ival-sinh: 20.0ms (16.7% of total)
ival-sin: 7.0ms (5.9% of total)
ival-add: 4.0ms (3.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series63.0ms (0.6%)

Memory
11.8MiB live, 49.5MiB allocated
Counts
20 → 348
Calls
Call 1
Inputs
#s(alt (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) (patch (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) #<representation binary64>) () ())
#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())
#s(alt (/.f64 x (sin.f64 x)) (patch (/.f64 x (sin.f64 x)) #<representation binary64>) () ())
#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 (sin.f64 x) x))) (patch #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 (sin.f64 x) x))) #<representation binary64>) () ())
#s(alt (*.f64 y (/.f64 (sin.f64 x) x)) (patch (*.f64 y (/.f64 (sin.f64 x) x)) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 x) x) (patch (/.f64 (sin.f64 x) x) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (sinh.f64 y)) x) (patch (/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (sinh.f64 y)) x) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (sinh.f64 y)) (patch (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (sinh.f64 y)) #<representation binary64>) () ())
#s(alt #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (patch #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #<representation binary64>) () ())
#s(alt (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (patch (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (sinh.f64 y)) x) (patch (/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (sinh.f64 y)) x) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (sinh.f64 y)) (patch (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (sinh.f64 y)) #<representation binary64>) () ())
#s(alt #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (patch #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (patch (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) (patch (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) #<representation binary64>) () ())
#s(alt (/.f64 (sinh.f64 y) x) (patch (/.f64 (sinh.f64 y) x) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())
Outputs
#s(alt (/ (* y (sin x)) x) (taylor 0 y) (#s(alt (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) (patch (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) (taylor 0 y) (#s(alt (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) (patch (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))) (taylor 0 y) (#s(alt (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) (patch (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x))) (taylor 0 y) (#s(alt (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) (patch (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor inf y) (#s(alt (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) (patch (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor inf y) (#s(alt (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) (patch (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor inf y) (#s(alt (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) (patch (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor inf y) (#s(alt (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) (patch (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf y) (#s(alt (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) (patch (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf y) (#s(alt (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) (patch (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf y) (#s(alt (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) (patch (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf y) (#s(alt (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) (patch (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor 0 x) (#s(alt (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) (patch (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))) (taylor 0 x) (#s(alt (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) (patch (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))) (taylor 0 x) (#s(alt (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) (patch (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))) (taylor 0 x) (#s(alt (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) (patch (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor inf x) (#s(alt (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) (patch (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor inf x) (#s(alt (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) (patch (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor inf x) (#s(alt (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) (patch (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor inf x) (#s(alt (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) (patch (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf x) (#s(alt (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) (patch (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf x) (#s(alt (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) (patch (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf x) (#s(alt (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) (patch (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf x) (#s(alt (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) (patch (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) #<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>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 x (sin.f64 x)) (patch (/.f64 x (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/6 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 x (sin.f64 x)) (patch (/.f64 x (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2))))) (taylor 0 x) (#s(alt (/.f64 x (sin.f64 x)) (patch (/.f64 x (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2))))))) (taylor 0 x) (#s(alt (/.f64 x (sin.f64 x)) (patch (/.f64 x (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ x (sin x)) (taylor inf x) (#s(alt (/.f64 x (sin.f64 x)) (patch (/.f64 x (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ x (sin x)) (taylor inf x) (#s(alt (/.f64 x (sin.f64 x)) (patch (/.f64 x (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ x (sin x)) (taylor inf x) (#s(alt (/.f64 x (sin.f64 x)) (patch (/.f64 x (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ x (sin x)) (taylor inf x) (#s(alt (/.f64 x (sin.f64 x)) (patch (/.f64 x (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ x (sin x)) (taylor -inf x) (#s(alt (/.f64 x (sin.f64 x)) (patch (/.f64 x (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ x (sin x)) (taylor -inf x) (#s(alt (/.f64 x (sin.f64 x)) (patch (/.f64 x (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ x (sin x)) (taylor -inf x) (#s(alt (/.f64 x (sin.f64 x)) (patch (/.f64 x (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ x (sin x)) (taylor -inf x) (#s(alt (/.f64 x (sin.f64 x)) (patch (/.f64 x (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/6 (pow x 2)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor 0 x) (#s(alt #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 (sin.f64 x) x))) (patch #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 (sin.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))) (taylor 0 x) (#s(alt #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 (sin.f64 x) x))) (patch #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 (sin.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))) (taylor 0 x) (#s(alt #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 (sin.f64 x) x))) (patch #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 (sin.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))) (taylor 0 x) (#s(alt #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 (sin.f64 x) x))) (patch #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 (sin.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor inf x) (#s(alt #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 (sin.f64 x) x))) (patch #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 (sin.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor inf x) (#s(alt #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 (sin.f64 x) x))) (patch #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 (sin.f64 x) x))) #<representation binary64>) () ())) ())
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#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor inf x) (#s(alt (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) (patch (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor inf x) (#s(alt (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) (patch (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor inf x) (#s(alt (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) (patch (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) (patch (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) (patch (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) (patch (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) (patch (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 (sinh.f64 y) x) (patch (/.f64 (sinh.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x))) (taylor 0 y) (#s(alt (/.f64 (sinh.f64 y) x) (patch (/.f64 (sinh.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* (pow y 2) (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))) (taylor 0 y) (#s(alt (/.f64 (sinh.f64 y) x) (patch (/.f64 (sinh.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x))) (taylor 0 y) (#s(alt (/.f64 (sinh.f64 y) x) (patch (/.f64 (sinh.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) (taylor inf y) (#s(alt (/.f64 (sinh.f64 y) x) (patch (/.f64 (sinh.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) (taylor inf y) (#s(alt (/.f64 (sinh.f64 y) x) (patch (/.f64 (sinh.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) (taylor inf y) (#s(alt (/.f64 (sinh.f64 y) x) (patch (/.f64 (sinh.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) (taylor inf y) (#s(alt (/.f64 (sinh.f64 y) x) (patch (/.f64 (sinh.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) (taylor -inf y) (#s(alt (/.f64 (sinh.f64 y) x) (patch (/.f64 (sinh.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) (taylor -inf y) (#s(alt (/.f64 (sinh.f64 y) x) (patch (/.f64 (sinh.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) (taylor -inf y) (#s(alt (/.f64 (sinh.f64 y) x) (patch (/.f64 (sinh.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) (taylor -inf y) (#s(alt (/.f64 (sinh.f64 y) x) (patch (/.f64 (sinh.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) (taylor 0 x) (#s(alt (/.f64 (sinh.f64 y) x) (patch (/.f64 (sinh.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) (taylor 0 x) (#s(alt (/.f64 (sinh.f64 y) x) (patch (/.f64 (sinh.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) (taylor 0 x) (#s(alt (/.f64 (sinh.f64 y) x) (patch (/.f64 (sinh.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) (taylor 0 x) (#s(alt (/.f64 (sinh.f64 y) x) (patch (/.f64 (sinh.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) (taylor inf x) (#s(alt (/.f64 (sinh.f64 y) x) (patch (/.f64 (sinh.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) (taylor inf x) (#s(alt (/.f64 (sinh.f64 y) x) (patch (/.f64 (sinh.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) (taylor inf x) (#s(alt (/.f64 (sinh.f64 y) x) (patch (/.f64 (sinh.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) (taylor inf x) (#s(alt (/.f64 (sinh.f64 y) x) (patch (/.f64 (sinh.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) (taylor -inf x) (#s(alt (/.f64 (sinh.f64 y) x) (patch (/.f64 (sinh.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) (taylor -inf x) (#s(alt (/.f64 (sinh.f64 y) x) (patch (/.f64 (sinh.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) (taylor -inf x) (#s(alt (/.f64 (sinh.f64 y) x) (patch (/.f64 (sinh.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) (taylor -inf x) (#s(alt (/.f64 (sinh.f64 y) x) (patch (/.f64 (sinh.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt -1/6 (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/120 (pow x 2)) 1/6) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/120 (pow x 2)) 1/6) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/120 (pow x 2)) 1/6) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/120 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/120 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ())
Calls

87 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(+ (* (+ (* (* x x) 1/120) -1/6) (* x (* x x))) x)
1.0ms
x
@inf
(/ x (sin x))
1.0ms
x
@-inf
(* y (/ (sin x) x))
1.0ms
x
@-inf
(/ x (sin x))
1.0ms
y
@0
(* y (/ (sin x) x))

simplify469.0ms (4.2%)

Memory
-25.4MiB live, 271.2MiB allocated
Algorithm
egg-herbie
Rules
9 088×lower-fma.f64
9 088×lower-fma.f32
5 084×lower-*.f64
5 084×lower-*.f32
2 684×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01944048
16153820
219853690
343053610
463223608
082453453
Stop Event
iter limit
node limit
Counts
348 → 341
Calls
Call 1
Inputs
(/ (* y (sin x)) x)
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
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
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2)))))))
(/ x (sin x))
(/ x (sin x))
(/ x (sin x))
(/ x (sin x))
(/ x (sin x))
(/ x (sin x))
(/ x (sin x))
(/ x (sin x))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(* 1/2 (- (exp y) (/ 1 (exp y))))
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(/ (* y (sin x)) x)
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
y
(+ y (* -1/6 (* (pow x 2) y)))
(+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y)))))
(+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y))))))
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
1
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(* 1/2 (- (exp y) (/ 1 (exp y))))
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(/ (* y (sin x)) x)
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (* x (- (exp y) (/ 1 (exp y)))))
(* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))))
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))))
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* y (sin x))
(* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))))
(* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))))
(* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* -1/6 (pow x 2))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* -1/6 (pow x 3))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(/ (* y (sin x)) x)
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (* x (- (exp y) (/ 1 (exp y)))))
(* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))))
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))))
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* y (sin x))
(* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))))
(* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))))
(* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* 1/120 (pow x 5))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4))))))
(/ (* y (sin x)) x)
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(/ y x)
(* y (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x)))
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))
(* y (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(- (* 1/120 (pow x 2)) 1/6)
(- (* 1/120 (pow x 2)) 1/6)
(* 1/120 (pow x 2))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 2))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
Outputs
(/ (* y (sin x)) x)
(*.f64 y (/.f64 (sin.f64 x) x))
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))
(*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 y x)))
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))
(*.f64 y (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x)))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 (sin.f64 x) (*.f64 (/.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/2 binary64)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/2 binary64)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/2 binary64)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/2 binary64)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/2 binary64)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/2 binary64)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/2 binary64)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/2 binary64)))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))
(fma.f64 x (*.f64 x (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) #s(literal -1/12 binary64)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/2 binary64)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/2 binary64)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/2 binary64)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/2 binary64)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/2 binary64)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/2 binary64)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
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(/ (* y (sin x)) x)
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(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))
(*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 y x)))
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))
(*.f64 y (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x)))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 (sin.f64 x) (*.f64 (/.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/2 binary64)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/2 binary64)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/2 binary64)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/2 binary64)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/2 binary64)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/2 binary64)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/2 binary64)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/2 binary64)))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))
(fma.f64 x (*.f64 x (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) #s(literal -1/12 binary64)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/2 binary64)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/2 binary64)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/2 binary64)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/2 binary64)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/2 binary64)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/2 binary64)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/2 binary64)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/2 binary64)))
(/ y x)
(/.f64 y x)
(* y (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x)))
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 y x))
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))
(fma.f64 y (*.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) x))) (/.f64 y x))
(* y (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 (/.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x)))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x))
(* -1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
(* -1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
(* -1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
(* -1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
(* -1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
(* -1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
(* -1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
(* -1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
(* -1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
(* -1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
(* -1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
(* -1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
-1/6
#s(literal -1/6 binary64)
(- (* 1/120 (pow x 2)) 1/6)
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(- (* 1/120 (pow x 2)) 1/6)
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(- (* 1/120 (pow x 2)) 1/6)
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(* 1/120 (pow x 2))
(*.f64 #s(literal 1/120 binary64) (*.f64 x x))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(* 1/120 (pow x 2))
(*.f64 #s(literal 1/120 binary64) (*.f64 x x))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))

rewrite516.0ms (4.6%)

Memory
28.7MiB live, 373.6MiB allocated
Rules
8 518×lower-fma.f32
8 512×lower-fma.f64
6 188×lower-*.f32
6 174×lower-*.f64
4 226×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029184
051170
1155170
2873170
08307166
Stop Event
iter limit
node limit
iter limit
Counts
20 → 1 007
Calls
Call 1
Inputs
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))
(sinh.f64 y)
(/.f64 x (sin.f64 x))
(sin.f64 x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 (sin.f64 x) x)))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (sin.f64 x) x)
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (sinh.f64 y)) x)
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (sinh.f64 y))
#s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (sinh.f64 y)) x)
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (sinh.f64 y))
#s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
(/.f64 (sinh.f64 y) x)
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(*.f64 x (*.f64 x x))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (neg.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (neg.f64 x)))
(-.f64 (/.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (/.f64 x (sin.f64 x))) (/.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (/.f64 x (sin.f64 x))))
(-.f64 (/.f64 (exp.f64 y) (/.f64 (*.f64 #s(literal 2 binary64) x) (sin.f64 x))) (/.f64 (exp.f64 (neg.f64 y)) (/.f64 (*.f64 #s(literal 2 binary64) x) (sin.f64 x))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) (sin.f64 x))) (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (neg.f64 x)))
(neg.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (neg.f64 x)))
(neg.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (sinh.f64 y)))
(neg.f64 (*.f64 (sin.f64 x) (neg.f64 (/.f64 (sinh.f64 y) x))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (neg.f64 x))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x)))))
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x)
(/.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) #s(literal 1 binary64))
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 #s(literal 1 binary64) (sinh.f64 y)))
(/.f64 (/.f64 (sinh.f64 y) x) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (/.f64 (*.f64 #s(literal 2 binary64) x) (sin.f64 x)))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 #s(literal -2 binary64) (/.f64 (neg.f64 x) (sin.f64 x))))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 (/.f64 (neg.f64 x) (sin.f64 x)) #s(literal -2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 #s(literal 2 binary64) x)))
(/.f64 (neg.f64 (sinh.f64 y)) (/.f64 (neg.f64 x) (sin.f64 x)))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (/.f64 x (sinh.f64 y))))
(/.f64 (*.f64 (sinh.f64 y) (neg.f64 (sin.f64 x))) (neg.f64 x))
(/.f64 (*.f64 (sinh.f64 y) (neg.f64 (sin.f64 x))) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (sin.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (neg.f64 (sin.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (/.f64 (sin.f64 x) x))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 y) (sin.f64 x))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) (/.f64 #s(literal 1 binary64) (sin.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x)))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) (/.f64 (neg.f64 x) (sin.f64 x))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (neg.f64 (/.f64 x (sinh.f64 y)))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (sin.f64 x)) (*.f64 #s(literal 2 binary64) x))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (sin.f64 x)) (*.f64 x #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (neg.f64 (sin.f64 x))) (*.f64 #s(literal -2 binary64) x))
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (*.f64 (/.f64 x (sin.f64 x)) #s(literal -2 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (*.f64 (/.f64 (neg.f64 x) (sin.f64 x)) #s(literal 2 binary64)))
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(*.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -1/14400 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/120 binary64)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/14400 binary64))) #s(literal -1/36 binary64)) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/14400 binary64))) #s(literal -1/36 binary64))) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))) #s(literal -1/216 binary64)) (fma.f64 #s(literal 1/2985984000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))) (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))))) (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/207360000 binary64) (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))) (-.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/14400 binary64))))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))) #s(literal -1/216 binary64)) (*.f64 (+.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/14400 binary64)))) (+.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/14400 binary64))) #s(literal -1/36 binary64)) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))) (+.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/14400 binary64))) #s(literal -1/36 binary64)) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/14400 binary64))) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))) #s(literal 1/216 binary64))) (+.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/14400 binary64) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(*.f64 x (*.f64 x x))
(*.f64 (*.f64 x x) x)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))

eval298.0ms (2.7%)

Memory
18.1MiB live, 438.0MiB allocated
Compiler

Compiled 33 749 to 2 905 computations (91.4% saved)

prune208.0ms (1.9%)

Memory
-5.9MiB live, 560.2MiB allocated
Pruning

26 alts after pruning (23 fresh and 3 done)

PrunedKeptTotal
New1 495191 514
Fresh448
Picked235
Done000
Total1 501261 527
Accuracy
100.0%
Counts
1 527 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
84.4%
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x)
75.2%
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) x)
47.7%
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))) x)
49.5%
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.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)) y) y))) x)
43.9%
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))) x)
47.3%
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))) x)
49.1%
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.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)) y) y))) x)
43.5%
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))) x)
13.5%
(/.f64 (*.f64 #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))) (sinh.f64 y)) x)
99.9%
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))
62.4%
(/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) #s(literal 1 binary64)))
81.7%
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y (*.f64 (sin.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))))) x)
46.2%
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y (sin.f64 x))) x)
99.8%
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
93.8%
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) (sin.f64 x))
66.7%
(*.f64 #s(approx (/ (sinh y) x) (/.f64 y x)) (sin.f64 x))
45.4%
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (sin.f64 x)))))
56.1%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 (sin.f64 x) x)))
38.7%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)) x)))
37.5%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) x)))
56.1%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 x))))
38.2%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
38.3%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
37.2%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))))
30.3%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(literal 1 binary64))))
38.3%
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) y)))
Compiler

Compiled 911 to 479 computations (47.4% saved)

simplify262.0ms (2.4%)

Memory
0.8MiB live, 318.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 x)
cost-diff0
(*.f64 y (sin.f64 x))
cost-diff0
#s(approx (* (sin x) (sinh y)) (*.f64 y (sin.f64 x)))
cost-diff0
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y (sin.f64 x))) x)
cost-diff0
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)
cost-diff0
#s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))
cost-diff0
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.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)) y) y)))
cost-diff0
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.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)) y) y))) x)
cost-diff0
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
cost-diff0
(*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
cost-diff0
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
cost-diff0
#s(approx (/ (sin x) x) #s(literal 1 binary64))
cost-diff0
(*.f64 y #s(approx (/ (sin x) x) #s(literal 1 binary64)))
cost-diff0
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(literal 1 binary64))))
cost-diff0
(fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)
cost-diff0
#s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))
cost-diff0
(/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x)
cost-diff0
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) (sin.f64 x))
Rules
10 510×lower-fma.f32
10 492×lower-fma.f64
3 874×lower-*.f32
3 852×lower-*.f64
1 582×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045451
080451
1161447
2355439
3793439
41373439
51840439
62801439
74117439
85204439
96763439
107664439
08022427
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) (sin.f64 x))
(/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x)
#s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))
(fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)
(*.f64 y y)
y
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) 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)
x
(sin.f64 x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(literal 1 binary64))))
(*.f64 y #s(approx (/ (sin x) x) #s(literal 1 binary64)))
y
#s(approx (/ (sin x) x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
y
#s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(*.f64 x x)
x
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(fma.f64 (*.f64 x x) #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)
#s(literal 1 binary64)
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.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)) y) y))) x)
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.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)) y) y)))
#s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)
x
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
(*.f64 x x)
#s(literal -1/6 binary64)
#s(approx (sinh y) (fma.f64 (*.f64 y y) (*.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)) y) y))
(fma.f64 (*.f64 y y) (*.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)) y) y)
(*.f64 y y)
y
(*.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)) 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 (* (sin x) (sinh y)) (*.f64 y (sin.f64 x))) x)
#s(approx (* (sin x) (sinh y)) (*.f64 y (sin.f64 x)))
(*.f64 y (sin.f64 x))
y
(sin.f64 x)
x
Outputs
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) (sin.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 (sin.f64 x) x))
(/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) 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)) x)
#s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) 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 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) 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)
(*.f64 y y)
y
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y)
(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(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)
x
(sin.f64 x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(literal 1 binary64))))
(*.f64 y #s(approx (/ (sin x) x) #s(literal 1 binary64)))
y
#s(approx (/ (sin x) x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
y
#s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(*.f64 x x)
x
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(fma.f64 (*.f64 x x) #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)
#s(literal 1 binary64)
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.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)) y) y))) x)
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (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)) (*.f64 y (*.f64 y y)) y))) x)
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.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)) y) y)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (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)) (*.f64 y (*.f64 y y)) y)))
#s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))
#s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)
x
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
(*.f64 x x)
#s(literal -1/6 binary64)
#s(approx (sinh y) (fma.f64 (*.f64 y y) (*.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)) y) y))
#s(approx (sinh y) (fma.f64 (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)) (*.f64 y (*.f64 y y)) y))
(fma.f64 (*.f64 y y) (*.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)) y) y)
(fma.f64 (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)) (*.f64 y (*.f64 y y)) y)
(*.f64 y y)
y
(*.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)) y)
(*.f64 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)))
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))
(fma.f64 y (*.f64 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 (* (sin x) (sinh y)) (*.f64 y (sin.f64 x))) x)
#s(approx (* (sin x) (sinh y)) (*.f64 y (sin.f64 x)))
(*.f64 y (sin.f64 x))
y
(sin.f64 x)
x

localize227.0ms (2%)

Memory
19.4MiB live, 301.4MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0
(sin.f64 x)
accuracy0.11328125
(*.f64 y (sin.f64 x))
accuracy6.423468187473505
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y (sin.f64 x))) x)
accuracy28.059998099511947
#s(approx (* (sin x) (sinh y)) (*.f64 y (sin.f64 x)))
accuracy0.38169279178245996
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
accuracy3.5188868839551706
#s(approx (sinh y) (fma.f64 (*.f64 y y) (*.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)) y) y))
accuracy6.423468187473505
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.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)) y) y))) x)
accuracy32.0845666256432
#s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))
accuracy0.1015625
(*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
accuracy0.4818179543110991
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
accuracy28.025205143982255
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
accuracy32.087818681817446
#s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
accuracy0.1015625
(*.f64 y #s(approx (/ (sin x) x) #s(literal 1 binary64)))
accuracy28.025205143982255
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(literal 1 binary64))))
accuracy31.557401699501327
#s(approx (/ (sin x) x) #s(literal 1 binary64))
accuracy0.0703125
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
accuracy0.09765625
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) (sin.f64 x))
accuracy0.2109375
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y)
accuracy5.21863422607806
#s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))
Samples
168.0ms256×0valid
Compiler

Compiled 266 to 43 computations (83.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 145.0ms
ival-mult: 97.0ms (67% of total)
const: 14.0ms (9.7% of total)
ival-div: 11.0ms (7.6% of total)
ival-sin: 11.0ms (7.6% of total)
ival-add: 9.0ms (6.2% of total)
ival-sinh: 2.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series25.0ms (0.2%)

Memory
-24.1MiB live, 51.5MiB allocated
Counts
24 → 420
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) (sin.f64 x)) (patch (*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) (sin.f64 x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) (patch (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #<representation binary64>) () ())
#s(alt #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) (patch #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) (patch (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(literal 1 binary64)))) (patch #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 y #s(approx (/ (sin x) x) #s(literal 1 binary64))) (patch (*.f64 y #s(approx (/ (sin x) x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (sin x) x) #s(literal 1 binary64)) (patch #s(approx (/ (sin x) x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))) (patch #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (patch (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #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 (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (patch #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #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 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.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)) y) y))) x) (patch (/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.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)) y) y))) x) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.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)) y) y))) (patch (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.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)) y) y))) #<representation binary64>) () ())
#s(alt #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (patch #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #<representation binary64>) () ())
#s(alt (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (patch (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y (sin.f64 x))) x) (patch (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y (sin.f64 x))) x) #<representation binary64>) () ())
#s(alt #s(approx (* (sin x) (sinh y)) (*.f64 y (sin.f64 x))) (patch #s(approx (* (sin x) (sinh y)) (*.f64 y (sin.f64 x))) #<representation binary64>) () ())
#s(alt (*.f64 y (sin.f64 x)) (patch (*.f64 y (sin.f64 x)) #<representation binary64>) () ())
#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) #<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>) () ())
#s(alt (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.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)) y) y)) (patch #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.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)) y) y)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (/ (* y (sin x)) x) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) (sin.f64 x)) (patch (*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) (sin.f64 x)) (patch (*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) (sin.f64 x)) (patch (*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x))) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) (sin.f64 x)) (patch (*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) (sin.f64 x)) #<representation binary64>) () ())) ())
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#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor -inf y) (#s(alt #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.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)) y) y)) (patch #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.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)) y) y)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
Calls

105 calls:

TimeVariablePointExpression
2.0ms
y
@0
(sinh y)
1.0ms
x
@inf
(+ (* (* x x) (+ (* (* x x) (+ (* (* x x) -1/5040) 1/120)) -1/6)) 1)
0.0ms
y
@-inf
(+ (* (* y y) (* (+ (* (* y y) 1/120) 1/6) y)) y)
0.0ms
y
@inf
(+ (* (* y y) (* (+ (* (* y y) 1/120) 1/6) y)) y)
0.0ms
y
@inf
(* y (sin x))

simplify269.0ms (2.4%)

Memory
-0.2MiB live, 271.3MiB allocated
Algorithm
egg-herbie
Rules
8 866×lower-fma.f64
8 866×lower-fma.f32
4 814×lower-*.f64
4 814×lower-*.f32
2 764×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02054696
16614448
220784326
345394232
468454230
080754039
Stop Event
iter limit
node limit
Counts
420 → 412
Calls
Call 1
Inputs
(/ (* y (sin x)) x)
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(/ y x)
(* y (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x)))
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))
(* y (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
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))))
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)))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(/ (* y (sin x)) x)
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
y
(+ y (* -1/6 (* (pow x 2) y)))
(+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y)))))
(+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y))))))
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
1
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(* 1/2 (- (exp y) (/ 1 (exp y))))
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(/ (* y (sin x)) x)
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
y
(+ y (* -1/6 (* (pow x 2) y)))
(+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y)))))
(+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y))))))
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
1
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
1
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))
(* -1/5040 (pow x 6))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 6))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(/ (* y (sin x)) x)
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (* x (- (exp y) (/ 1 (exp y)))))
(* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))))
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))))
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* y (sin x))
(* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))))
(* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))))
(* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* -1/6 (pow x 2))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* -1/6 (pow x 3))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(/ (* y (sin x)) x)
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (* x (- (exp y) (/ 1 (exp y)))))
(* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))))
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))))
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* y (sin x))
(* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))))
(* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))))
(* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* y (sin x))
(* y (sin x))
(* y (sin x))
(* y (sin x))
(* y (sin x))
(* y (sin x))
(* y (sin x))
(* y (sin x))
(* y (sin x))
(* y (sin x))
(* y (sin x))
(* y (sin x))
(* x y)
(* x (+ y (* -1/6 (* (pow x 2) y))))
(* x (+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y))))))
(* x (+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y)))))))
(* y (sin x))
(* y (sin x))
(* y (sin x))
(* y (sin x))
(* y (sin x))
(* y (sin x))
(* y (sin x))
(* y (sin x))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(* 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)))))
1/6
(+ 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)))))
1/120
(+ 1/120 (* -1/5040 (pow x 2)))
(+ 1/120 (* -1/5040 (pow x 2)))
(+ 1/120 (* -1/5040 (pow x 2)))
(* -1/5040 (pow x 2))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* -1/5040 (pow x 2))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
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))))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
Outputs
(/ (* y (sin x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))
(*.f64 (sin.f64 x) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (/.f64 y x)))
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))
(*.f64 y (*.f64 (/.f64 (sin.f64 x) 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))))
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x)))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 (sin.f64 x) (*.f64 (/.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (sin.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (sin.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (sin.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (sin.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (sin.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (sin.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (sin.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (sin.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x)))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))
(fma.f64 x (*.f64 x (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) #s(literal -1/12 binary64)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (sin.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (sin.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (sin.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (sin.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (sin.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (sin.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (sin.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (sin.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x)))
(/ y x)
(/.f64 y x)
(* y (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x)))
(*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (/.f64 y x))
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))
(fma.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) (*.f64 y (*.f64 y y)) (/.f64 y x))
(* y (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))
(fma.f64 (*.f64 y y) (*.f64 (fma.f64 (/.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (/.f64 #s(literal 1/6 binary64) x)) y) (/.f64 y x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x))
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 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(* 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))))
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 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)
(* 1/120 (pow y 5))
(*.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal 5 binary64)))
(* (pow y 5) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 (pow.f64 y #s(literal 5 binary64)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))))
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(*.f64 (sin.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (sin.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x)))
(* 1/2 (* x (- (exp y) (/ 1 (exp y)))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x #s(literal 1/2 binary64)))
(* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))))
(*.f64 x (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) #s(literal 1/2 binary64))))
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))))
(*.f64 x (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) #s(literal 1/2 binary64))))
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))))
(*.f64 x (fma.f64 x (*.f64 x (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) #s(literal -1/12 binary64)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (sin.f64 x) #s(literal 1/2 binary64)))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (sin.f64 x) #s(literal 1/2 binary64)))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (sin.f64 x) #s(literal 1/2 binary64)))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (sin.f64 x) #s(literal 1/2 binary64)))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (sin.f64 x) #s(literal 1/2 binary64)))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (sin.f64 x) #s(literal 1/2 binary64)))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (sin.f64 x) #s(literal 1/2 binary64)))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (sin.f64 x) #s(literal 1/2 binary64)))
(* y (sin x))
(*.f64 y (sin.f64 x))
(* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))))
(*.f64 (sin.f64 x) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))
(* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))))
(*.f64 y (*.f64 (sin.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))))
(* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 (sin.f64 x) (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))) (sin.f64 x)))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (sin.f64 x) #s(literal 1/2 binary64)))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (sin.f64 x) #s(literal 1/2 binary64)))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (sin.f64 x) #s(literal 1/2 binary64)))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (sin.f64 x) #s(literal 1/2 binary64)))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (sin.f64 x) #s(literal 1/2 binary64)))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (sin.f64 x) #s(literal 1/2 binary64)))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (sin.f64 x) #s(literal 1/2 binary64)))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (sin.f64 x) #s(literal 1/2 binary64)))
(* y (sin x))
(*.f64 y (sin.f64 x))
(* y (sin x))
(*.f64 y (sin.f64 x))
(* y (sin x))
(*.f64 y (sin.f64 x))
(* y (sin x))
(*.f64 y (sin.f64 x))
(* y (sin x))
(*.f64 y (sin.f64 x))
(* y (sin x))
(*.f64 y (sin.f64 x))
(* y (sin x))
(*.f64 y (sin.f64 x))
(* y (sin x))
(*.f64 y (sin.f64 x))
(* y (sin x))
(*.f64 y (sin.f64 x))
(* y (sin x))
(*.f64 y (sin.f64 x))
(* y (sin x))
(*.f64 y (sin.f64 x))
(* y (sin x))
(*.f64 y (sin.f64 x))
(* x y)
(*.f64 y x)
(* x (+ y (* -1/6 (* (pow x 2) y))))
(*.f64 y (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))
(* x (+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y))))))
(*.f64 x (fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) y))
(* x (+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y)))))))
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y))
(* y (sin x))
(*.f64 y (sin.f64 x))
(* y (sin x))
(*.f64 y (sin.f64 x))
(* y (sin x))
(*.f64 y (sin.f64 x))
(* y (sin x))
(*.f64 y (sin.f64 x))
(* y (sin x))
(*.f64 y (sin.f64 x))
(* y (sin x))
(*.f64 y (sin.f64 x))
(* y (sin x))
(*.f64 y (sin.f64 x))
(* y (sin x))
(*.f64 y (sin.f64 x))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(* 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 y (*.f64 y (*.f64 y #s(literal 1/120 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)))
(* (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 y (*.f64 y (*.f64 y #s(literal 1/120 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)))
(* (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)))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/120 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(+ 1/6 (* 1/120 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(+ 1/6 (* 1/120 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* 1/120 (pow y 2))
(*.f64 y (*.f64 y #s(literal 1/120 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))
(* (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))
(* 1/120 (pow y 2))
(*.f64 y (*.f64 y #s(literal 1/120 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))
(* (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))
1/120
#s(literal 1/120 binary64)
(+ 1/120 (* -1/5040 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(+ 1/120 (* -1/5040 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(+ 1/120 (* -1/5040 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(* -1/5040 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/5040 binary64))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(* -1/5040 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/5040 binary64))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
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 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(* 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))))
(* -1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
(* -1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
(* -1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
(* -1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
(* -1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
(* -1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
(* -1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
(* -1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
(* -1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
(* -1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
(* -1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
(* -1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))

rewrite335.0ms (3%)

Memory
1.5MiB live, 422.8MiB allocated
Rules
5 534×lower-*.f32
5 512×lower-*.f64
4 318×lower-fma.f32
4 300×lower-fma.f64
4 194×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045350
080350
1296339
21959339
08155328
Stop Event
iter limit
node limit
iter limit
Counts
24 → 319
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) (sin.f64 x))
(/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x)
#s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))
(fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(literal 1 binary64))))
(*.f64 y #s(approx (/ (sin x) x) #s(literal 1 binary64)))
#s(approx (/ (sin x) x) #s(literal 1 binary64))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.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)) y) y))) x)
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.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)) y) y)))
#s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y (sin.f64 x))) x)
#s(approx (* (sin x) (sinh y)) (*.f64 y (sin.f64 x)))
(*.f64 y (sin.f64 x))
(sin.f64 x)
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y)
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
#s(approx (sinh y) (fma.f64 (*.f64 y y) (*.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)) y) y))
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
Outputs
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#s(approx (sinh y) (fma.f64 (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 (*.f64 y y)) y))
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eval105.0ms (0.9%)

Memory
24.9MiB live, 173.9MiB allocated
Compiler

Compiled 19 963 to 1 470 computations (92.6% saved)

prune166.0ms (1.5%)

Memory
-38.9MiB live, 324.3MiB allocated
Pruning

33 alts after pruning (26 fresh and 7 done)

PrunedKeptTotal
New72815743
Fresh71118
Picked145
Done033
Total73633769
Accuracy
100.0%
Counts
769 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
84.4%
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x)
75.2%
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) x)
43.9%
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))) x)
49.5%
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.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)) y) y))) x)
47.3%
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))) x)
43.5%
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))) x)
99.9%
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))
62.4%
(/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) #s(literal 1 binary64)))
81.7%
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y (*.f64 (sin.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))))) x)
46.2%
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y (sin.f64 x))) x)
29.3%
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)))) x)
27.8%
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))) x)
24.7%
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* y (sin x)) (*.f64 y x))) x)
49.1%
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (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 (*.f64 y y)) y)))))
45.4%
(/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (* (sin x) (sinh y)) (*.f64 y (sin.f64 x)))))
99.8%
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
61.1%
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (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 (*.f64 y y)) y)) x) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))
93.8%
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) (sin.f64 x))
59.5%
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
59.6%
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)))
60.3%
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))
93.0%
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 y (*.f64 y #s(literal 1/120 binary64)))) y) y)) x) (sin.f64 x))
66.7%
(*.f64 #s(approx (/ (sinh y) x) (/.f64 y x)) (sin.f64 x))
59.1%
(*.f64 #s(approx (sinh y) (fma.f64 (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 (*.f64 y y)) y)) (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (/.f64 #s(literal 1 binary64) x)))
56.1%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 (sin.f64 x) x)))
56.1%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 x))))
38.2%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
38.1%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
38.3%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
37.2%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))))
37.2%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
30.3%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(literal 1 binary64))))
38.3%
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) y)))
Compiler

Compiled 1 222 to 634 computations (48.1% saved)

simplify204.0ms (1.8%)

Memory
38.2MiB live, 305.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (/ x (sin x)) #s(literal 1 binary64))
cost-diff0
(sinh.f64 y)
cost-diff0
(/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) #s(literal 1 binary64)))
cost-diff0
(fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)
cost-diff0
#s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))
cost-diff0
(/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x)
cost-diff0
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)))
cost-diff0
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
cost-diff0
(*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
cost-diff0
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
cost-diff0
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))
cost-diff0
(*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))
cost-diff0
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
cost-diff0
(fma.f64 (*.f64 y y) (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 y (*.f64 y #s(literal 1/120 binary64)))) y) y)
cost-diff0
#s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 y (*.f64 y #s(literal 1/120 binary64)))) y) y))
cost-diff0
(/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 y (*.f64 y #s(literal 1/120 binary64)))) y) y)) x)
cost-diff0
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 y (*.f64 y #s(literal 1/120 binary64)))) y) y)) x) (sin.f64 x))
Rules
8 286×lower-fma.f32
8 270×lower-fma.f64
3 190×lower-*.f32
3 164×lower-*.f64
1 432×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055524
091524
1162524
2284513
3523513
4821513
51059513
62060513
73443513
84851513
96596513
107854513
08171496
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 y (*.f64 y #s(literal 1/120 binary64)))) y) y)) x) (sin.f64 x))
(/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 y (*.f64 y #s(literal 1/120 binary64)))) y) y)) x)
#s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 y (*.f64 y #s(literal 1/120 binary64)))) y) y))
(fma.f64 (*.f64 y y) (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 y (*.f64 y #s(literal 1/120 binary64)))) y) y)
(*.f64 y y)
y
(*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 y (*.f64 y #s(literal 1/120 binary64)))) y)
#s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 y (*.f64 y #s(literal 1/120 binary64))))
(*.f64 y (*.f64 y #s(literal 1/120 binary64)))
(*.f64 y #s(literal 1/120 binary64))
#s(literal 1/120 binary64)
x
(sin.f64 x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))
y
#s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))
x
(*.f64 x #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
#s(literal 1 binary64)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
y
#s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(*.f64 x x)
x
(fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64))
#s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))
(*.f64 (*.f64 x x) #s(literal -1/5040 binary64))
#s(literal -1/5040 binary64)
#s(literal -1/6 binary64)
#s(literal 1 binary64)
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)))
(/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x)
#s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))
(fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)
(*.f64 y y)
y
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) 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)
x
#s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x))
(fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)
(*.f64 x x)
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) #s(literal 1 binary64)))
(sinh.f64 y)
y
#s(approx (/ x (sin x)) #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 y (*.f64 y #s(literal 1/120 binary64)))) y) y)) x) (sin.f64 x))
(*.f64 #s(approx (sinh y) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y (*.f64 y y)) y)) (/.f64 (sin.f64 x) x))
(/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 y (*.f64 y #s(literal 1/120 binary64)))) y) y)) x)
(/.f64 #s(approx (sinh y) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y (*.f64 y y)) y)) x)
#s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 y (*.f64 y #s(literal 1/120 binary64)))) y) y))
#s(approx (sinh y) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y (*.f64 y y)) y))
(fma.f64 (*.f64 y y) (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 y (*.f64 y #s(literal 1/120 binary64)))) y) y)
(fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y (*.f64 y y)) y)
(*.f64 y y)
y
(*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 y (*.f64 y #s(literal 1/120 binary64)))) y)
(*.f64 y #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))
#s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 y (*.f64 y #s(literal 1/120 binary64))))
#s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))
(*.f64 y (*.f64 y #s(literal 1/120 binary64)))
(*.f64 (*.f64 y y) #s(literal 1/120 binary64))
(*.f64 y #s(literal 1/120 binary64))
#s(literal 1/120 binary64)
x
(sin.f64 x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))
y
#s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))
x
(*.f64 x #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
#s(literal 1 binary64)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 x (*.f64 x #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 x (*.f64 x #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
y
#s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
#s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 x (*.f64 x #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 x (*.f64 x #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(*.f64 x x)
x
(fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64))
(fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 x (*.f64 x #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64))
#s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))
#s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 x (*.f64 x #s(literal -1/5040 binary64))))
(*.f64 (*.f64 x x) #s(literal -1/5040 binary64))
(*.f64 x (*.f64 x #s(literal -1/5040 binary64)))
#s(literal -1/5040 binary64)
#s(literal -1/6 binary64)
#s(literal 1 binary64)
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) 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)) #s(approx (sin x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) x)
(/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) 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)) x)
#s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) 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 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) 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)
(*.f64 y y)
y
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y)
(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(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)
x
#s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x))
#s(approx (sin x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))
(fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(*.f64 x x)
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
(*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) #s(literal 1 binary64)))
(sinh.f64 y)
y
#s(approx (/ x (sin x)) #s(literal 1 binary64))
#s(literal 1 binary64)

localize209.0ms (1.9%)

Memory
-5.3MiB live, 324.4MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.01171875
(sinh.f64 y)
accuracy0.05078125
(/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) #s(literal 1 binary64)))
accuracy31.70372063802629
#s(approx (/ x (sin x)) #s(literal 1 binary64))
accuracy0.2109375
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y)
accuracy0.48262005091434984
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
accuracy5.21863422607806
#s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))
accuracy31.968737869637447
#s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x))
accuracy0.5755679543110991
(*.f64 (*.f64 x x) #s(literal -1/5040 binary64))
accuracy28.025205143982255
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
accuracy31.716905511302752
#s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))
accuracy32.087818681817446
#s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
accuracy0.1015625
(*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))
accuracy0.33203125
(*.f64 x #s(literal -1/6 binary64))
accuracy28.025205143982255
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
accuracy32.08757382522093
#s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))
accuracy0.11328125
(*.f64 y (*.f64 y #s(literal 1/120 binary64)))
accuracy0.2109375
(*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 y (*.f64 y #s(literal 1/120 binary64)))) y)
accuracy5.21863422607806
#s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 y (*.f64 y #s(literal 1/120 binary64)))) y) y))
accuracy33.94556263991757
#s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 y (*.f64 y #s(literal 1/120 binary64))))
Samples
139.0ms256×0valid
Compiler

Compiled 265 to 42 computations (84.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 96.0ms
ival-div: 37.0ms (38.5% of total)
ival-mult: 31.0ms (32.3% of total)
const: 12.0ms (12.5% of total)
ival-add: 8.0ms (8.3% of total)
ival-sin: 7.0ms (7.3% of total)
ival-sinh: 2.0ms (2.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series30.0ms (0.3%)

Memory
-22.4MiB live, 54.4MiB allocated
Counts
28 → 444
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 y (*.f64 y #s(literal 1/120 binary64)))) y) y)) x) (sin.f64 x)) (patch (*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 y (*.f64 y #s(literal 1/120 binary64)))) y) y)) x) (sin.f64 x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 y (*.f64 y #s(literal 1/120 binary64)))) y) y)) x) (patch (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 y (*.f64 y #s(literal 1/120 binary64)))) y) y)) x) #<representation binary64>) () ())
#s(alt #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 y (*.f64 y #s(literal 1/120 binary64)))) y) y)) (patch #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 y (*.f64 y #s(literal 1/120 binary64)))) y) y)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 y y) (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 y (*.f64 y #s(literal 1/120 binary64)))) y) y) (patch (fma.f64 (*.f64 y y) (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 y (*.f64 y #s(literal 1/120 binary64)))) y) y) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))) (patch #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (patch (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) (patch #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (patch (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))) (patch #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (patch (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (patch #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x))) (patch (*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) (patch (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #<representation binary64>) () ())
#s(alt #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) (patch #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) (patch (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) #<representation binary64>) () ())
#s(alt (/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) #s(literal 1 binary64))) (patch (/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())
#s(alt #s(approx (/ x (sin x)) #s(literal 1 binary64)) (patch #s(approx (/ x (sin x)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 y (*.f64 y #s(literal 1/120 binary64)))) (patch #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 y (*.f64 y #s(literal 1/120 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 y (*.f64 y #s(literal 1/120 binary64)))) y) (patch (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 y (*.f64 y #s(literal 1/120 binary64)))) y) #<representation binary64>) () ())
#s(alt (*.f64 y (*.f64 y #s(literal 1/120 binary64))) (patch (*.f64 y (*.f64 y #s(literal 1/120 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal -1/6 binary64)) (patch (*.f64 x #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) (patch #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)) (patch #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) #<representation binary64>) () ())
Outputs
#s(alt (/ (* y (sin x)) x) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 y (*.f64 y #s(literal 1/120 binary64)))) y) y)) x) (sin.f64 x)) (patch (*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 y (*.f64 y #s(literal 1/120 binary64)))) y) y)) x) (sin.f64 x)) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) (taylor inf x) (#s(alt #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) (patch #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) (taylor inf x) (#s(alt #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) (patch #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/5040 (pow x 2)) (taylor -inf x) (#s(alt #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) (patch #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) (taylor -inf x) (#s(alt #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) (patch #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) (taylor -inf x) (#s(alt #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) (patch #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) (taylor -inf x) (#s(alt #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) (patch #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/5040 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/5040 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/5040 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/5040 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/5040 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/5040 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/5040 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/5040 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/5040 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/5040 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/5040 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/5040 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)) (patch #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/6 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)) (patch #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) (taylor 0 x) (#s(alt #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)) (patch #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) (taylor 0 x) (#s(alt #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)) (patch #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor inf x) (#s(alt #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)) (patch #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor inf x) (#s(alt #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)) (patch #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor inf x) (#s(alt #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)) (patch #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor inf x) (#s(alt #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)) (patch #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)) (patch #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)) (patch #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)) (patch #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)) (patch #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt -1/6 (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/120 (pow x 2)) 1/6) (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/120 (pow x 2)) 1/6) (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/120 (pow x 2)) 1/6) (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/120 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/120 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 y) (taylor 0 y) (#s(alt (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/6 (* 1/120 (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/6 (* 1/120 (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/6 (* 1/120 (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 1/120 (pow y 3)) (taylor inf y) (#s(alt (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) (taylor inf y) (#s(alt (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) (taylor inf y) (#s(alt (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) (taylor inf y) (#s(alt (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 1/120 (pow y 3)) (taylor -inf y) (#s(alt (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) #<representation binary64>) () ())) ())
Calls

111 calls:

TimeVariablePointExpression
6.0ms
x
@-inf
(* (* x x) -1/5040)
0.0ms
y
@inf
(* y (* y 1/120))
0.0ms
x
@-inf
(* x -1/6)
0.0ms
x
@inf
(* (* x x) -1/5040)
0.0ms
x
@0
(* x -1/6)

simplify341.0ms (3.1%)

Memory
21.6MiB live, 415.5MiB allocated
Algorithm
egg-herbie
Rules
15 712×lower-fma.f64
15 712×lower-fma.f32
6 472×lower-+.f64
6 472×lower-+.f32
4 518×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01924604
15854434
217794320
340274269
082914071
Stop Event
iter limit
node limit
Counts
444 → 436
Calls
Call 1
Inputs
(/ (* y (sin x)) x)
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(/ y x)
(* y (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x)))
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))
(* y (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
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(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 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)))))
Outputs
(/ (* y (sin x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))
(*.f64 y (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)))
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (/.f64 (sin.f64 x) x)))
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x)))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 (*.f64 (sin.f64 x) (/.f64 (*.f64 y y) x)) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (sin.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (sin.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (sin.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (sin.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (sin.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (sin.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (sin.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (sin.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))
(fma.f64 (*.f64 x x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) #s(literal -1/12 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (sin.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (sin.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (sin.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (sin.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (sin.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (sin.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (sin.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (sin.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x))
(/ y x)
(/.f64 y x)
(* y (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x)))
(*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (/.f64 y x))
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))
(fma.f64 y (*.f64 (/.f64 (*.f64 y y) x) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (/.f64 y x))
(* y (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))
(fma.f64 y (*.f64 (*.f64 y y) (fma.f64 (/.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (/.f64 #s(literal 1/6 binary64) x))) (/.f64 y x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x)
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x)
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x)
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x)
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x)
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x)
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x)
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x)
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x)
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x)
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x)
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x)
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x)
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x)
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x)
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x)
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x)
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x)
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x)
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x)
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 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(* 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))))
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 (* 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)
(* 1/120 (pow y 5))
(*.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal 5 binary64)))
(* (pow y 5) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 (pow.f64 y #s(literal 5 binary64)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))))
(* (pow y 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(*.f64 (pow.f64 y #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))))
(* (pow y 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(*.f64 (pow.f64 y #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))))
(* 1/120 (pow y 5))
(*.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal 5 binary64)))
(* (pow y 5) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 (pow.f64 y #s(literal 5 binary64)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))))
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow y 2))) (pow y 2))) 1/120)))
(*.f64 (pow.f64 y #s(literal 5 binary64)) (+.f64 #s(literal 1/120 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 y y))))
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow y 2))) (pow y 2))) 1/120)))
(*.f64 (pow.f64 y #s(literal 5 binary64)) (+.f64 #s(literal 1/120 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 y y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))
(fma.f64 (*.f64 x x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) #s(literal -1/12 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (sin.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (sin.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (sin.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (sin.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (sin.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (sin.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (sin.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (sin.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x))
(/ (* y (sin x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))
(*.f64 y (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)))
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (/.f64 (sin.f64 x) x)))
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x)))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 (*.f64 (sin.f64 x) (/.f64 (*.f64 y y) x)) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (sin.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (sin.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (sin.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (sin.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (sin.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (sin.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (sin.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (sin.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x))
(/ (* y (sin x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/ (* y (sin x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/ (* y (sin x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/ (* y (sin x)) x)
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(*.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 y (*.f64 y (*.f64 y #s(literal 1/120 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)))
(* (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 2))
(*.f64 y (*.f64 y #s(literal 1/120 binary64)))
(* 1/120 (pow y 2))
(*.f64 y (*.f64 y #s(literal 1/120 binary64)))
(* 1/120 (pow y 2))
(*.f64 y (*.f64 y #s(literal 1/120 binary64)))
(* 1/120 (pow y 2))
(*.f64 y (*.f64 y #s(literal 1/120 binary64)))
(* 1/120 (pow y 2))
(*.f64 y (*.f64 y #s(literal 1/120 binary64)))
(* 1/120 (pow y 2))
(*.f64 y (*.f64 y #s(literal 1/120 binary64)))
(* 1/120 (pow y 2))
(*.f64 y (*.f64 y #s(literal 1/120 binary64)))
(* 1/120 (pow y 2))
(*.f64 y (*.f64 y #s(literal 1/120 binary64)))
(* 1/120 (pow y 2))
(*.f64 y (*.f64 y #s(literal 1/120 binary64)))
(* 1/120 (pow y 2))
(*.f64 y (*.f64 y #s(literal 1/120 binary64)))
(* 1/120 (pow y 2))
(*.f64 y (*.f64 y #s(literal 1/120 binary64)))
(* 1/120 (pow y 2))
(*.f64 y (*.f64 y #s(literal 1/120 binary64)))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
1/120
#s(literal 1/120 binary64)
(+ 1/120 (* -1/5040 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(+ 1/120 (* -1/5040 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(+ 1/120 (* -1/5040 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(* -1/5040 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/5040 binary64)))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(* -1/5040 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/5040 binary64)))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(* -1/5040 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/5040 binary64)))
(* -1/5040 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/5040 binary64)))
(* -1/5040 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/5040 binary64)))
(* -1/5040 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/5040 binary64)))
(* -1/5040 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/5040 binary64)))
(* -1/5040 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/5040 binary64)))
(* -1/5040 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/5040 binary64)))
(* -1/5040 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/5040 binary64)))
(* -1/5040 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/5040 binary64)))
(* -1/5040 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/5040 binary64)))
(* -1/5040 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/5040 binary64)))
(* -1/5040 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/5040 binary64)))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
-1/6
#s(literal -1/6 binary64)
(- (* 1/120 (pow x 2)) 1/6)
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(- (* 1/120 (pow x 2)) 1/6)
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(- (* 1/120 (pow x 2)) 1/6)
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(* 1/120 (pow x 2))
(*.f64 #s(literal 1/120 binary64) (*.f64 x x))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(* 1/120 (pow x 2))
(*.f64 #s(literal 1/120 binary64) (*.f64 x x))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(* 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 y (*.f64 y (*.f64 y #s(literal 1/120 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)))
(* (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 y (*.f64 y (*.f64 y #s(literal 1/120 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)))
(* (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)))

rewrite480.0ms (4.3%)

Memory
13.3MiB live, 333.4MiB allocated
Rules
5 380×lower-fma.f32
5 364×lower-fma.f64
4 812×lower-*.f32
4 786×lower-*.f64
4 532×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055443
091443
1302433
21866433
08299418
Stop Event
iter limit
node limit
iter limit
Counts
28 → 402
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 y (*.f64 y #s(literal 1/120 binary64)))) y) y)) x) (sin.f64 x))
(/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 y (*.f64 y #s(literal 1/120 binary64)))) y) y)) x)
#s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 y (*.f64 y #s(literal 1/120 binary64)))) y) y))
(fma.f64 (*.f64 y y) (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 y (*.f64 y #s(literal 1/120 binary64)))) y) y)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)))
(/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x)
#s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))
(fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)
(/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) #s(literal 1 binary64)))
(sinh.f64 y)
#s(approx (/ x (sin x)) #s(literal 1 binary64))
#s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 y (*.f64 y #s(literal 1/120 binary64))))
(*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 y (*.f64 y #s(literal 1/120 binary64)))) y)
(*.f64 y (*.f64 y #s(literal 1/120 binary64)))
(*.f64 x #s(literal -1/6 binary64))
#s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))
(*.f64 (*.f64 x x) #s(literal -1/5040 binary64))
#s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y)
Outputs
(/.f64 (sin.f64 x) (/.f64 x #s(approx (sinh y) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y (*.f64 y y)) y))))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (sinh y) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y (*.f64 y y)) y)) (sin.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x #s(approx (sinh y) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y (*.f64 y y)) y))) (sin.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 #s(approx (sinh y) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y (*.f64 y y)) y)) (sin.f64 x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x #s(approx (sinh y) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y (*.f64 y y)) y))) (*.f64 (sin.f64 x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (sin.f64 x) (neg.f64 #s(approx (sinh y) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y (*.f64 y y)) y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x #s(approx (sinh y) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y (*.f64 y y)) y))) (*.f64 #s(literal 1 binary64) (sin.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (neg.f64 #s(approx (sinh y) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y (*.f64 y y)) y))) (sin.f64 x))))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (/.f64 x #s(approx (sinh y) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y (*.f64 y y)) y)))))
(/.f64 (*.f64 #s(approx (sinh y) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y (*.f64 y y)) y)) (sin.f64 x)) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 #s(approx (sinh y) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y (*.f64 y y)) y)) (sin.f64 x)))))
(/.f64 (neg.f64 (*.f64 #s(approx (sinh y) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y (*.f64 y y)) y)) (sin.f64 x))) (neg.f64 x))
(/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (/.f64 x #s(approx (sinh y) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y (*.f64 y y)) y))))
(/.f64 (*.f64 (sin.f64 x) (neg.f64 #s(approx (sinh y) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y (*.f64 y y)) y)))) (neg.f64 x))
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 x #s(approx (sinh y) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y (*.f64 y y)) y))))
(/.f64 (*.f64 (neg.f64 #s(approx (sinh y) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y (*.f64 y y)) y))) (sin.f64 x)) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64))) (neg.f64 (/.f64 x #s(approx (sinh y) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y (*.f64 y y)) y)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(approx (sinh y) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y (*.f64 y y)) y)) (sin.f64 x)))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (neg.f64 #s(approx (sinh y) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y (*.f64 y y)) y))))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (sin.f64 x))) (neg.f64 (/.f64 x #s(approx (sinh y) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y (*.f64 y y)) y)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 #s(approx (sinh y) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y (*.f64 y y)) y))) (sin.f64 x))) (neg.f64 (neg.f64 x)))
(pow.f64 (/.f64 x (*.f64 #s(approx (sinh y) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y (*.f64 y y)) y)) (sin.f64 x))) #s(literal -1 binary64))
(*.f64 #s(approx (sinh y) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y (*.f64 y y)) y)) (/.f64 (sin.f64 x) x))
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(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1/36 binary64))) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))) #s(literal -1/10077696 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))) (-.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -1/373248000 binary64)))) (-.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))) #s(literal 1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))) #s(literal -1/216 binary64)) (-.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))) #s(literal 1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/36 binary64)))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 1/1296 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (neg.f64 (-.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (/.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (fma.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))
(*.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
(+.f64 (*.f64 y #s(literal 1/6 binary64)) (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))
(+.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y #s(literal 1/6 binary64)))
(+.f64 (*.f64 #s(literal 1/6 binary64) y) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) y))
(+.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) y) (*.f64 #s(literal 1/6 binary64) y))
(fma.f64 y #s(literal 1/6 binary64) (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))
(fma.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/6 binary64) y (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) y))
(fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) y (*.f64 #s(literal 1/6 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))) (*.f64 y (fma.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1/216 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/36 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))) (*.f64 (fma.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1/216 binary64)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/36 binary64)) y)))
(/.f64 (*.f64 y (fma.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1/216 binary64))) (-.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))
(/.f64 (*.f64 y (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/36 binary64))) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1/216 binary64)) y) (-.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/36 binary64)) y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))
(/.f64 (neg.f64 (*.f64 y (fma.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1/216 binary64)))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal 1/720 binary64)))))
(/.f64 (neg.f64 (*.f64 y (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/36 binary64)))) (neg.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1/216 binary64)) y)) (neg.f64 (-.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal 1/720 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/36 binary64)) y)) (neg.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 y #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 y #s(literal 1/6 binary64)) (*.f64 y #s(literal 1/6 binary64)) (-.f64 (*.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 (*.f64 y #s(literal 1/6 binary64)) (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 y #s(literal 1/6 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (-.f64 (*.f64 (*.f64 y #s(literal 1/6 binary64)) (*.f64 y #s(literal 1/6 binary64))) (*.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y #s(literal 1/6 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) y) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) (*.f64 #s(literal 1/6 binary64) y) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) y) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) y)) (*.f64 (*.f64 #s(literal 1/6 binary64) y) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) y) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/6 binary64) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) y) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) y) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) (*.f64 #s(literal 1/6 binary64) y)) (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) y) (*.f64 #s(literal 1/6 binary64) y)))))
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y)

eval211.0ms (1.9%)

Memory
-16.2MiB live, 249.9MiB allocated
Compiler

Compiled 23 321 to 1 625 computations (93% saved)

prune208.0ms (1.9%)

Memory
15.1MiB live, 350.0MiB allocated
Pruning

37 alts after pruning (27 fresh and 10 done)

PrunedKeptTotal
New82414838
Fresh81321
Picked235
Done077
Total83437871
Accuracy
100.0%
Counts
871 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
84.4%
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x)
75.2%
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) x)
43.5%
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))) x)
99.9%
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))
62.4%
(/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) #s(literal 1 binary64)))
81.7%
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y (*.f64 (sin.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))))) x)
46.2%
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y (sin.f64 x))) x)
27.8%
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))) x)
24.7%
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* y (sin x)) (*.f64 y x))) x)
58.7%
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64)))
56.5%
(/.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(approx (/ x (sin x)) #s(literal 1 binary64)))
51.2%
(/.f64 #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64)))
59.9%
(/.f64 #s(approx (sin x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (/.f64 x #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) y))))
49.1%
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (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 (*.f64 y y)) y)))))
45.4%
(/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (* (sin x) (sinh y)) (*.f64 y (sin.f64 x)))))
99.8%
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
60.3%
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)))
61.1%
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (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 (*.f64 y y)) y)) x) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))
93.0%
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) y y)) x) (sin.f64 x))
93.8%
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) (sin.f64 x))
59.5%
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
59.6%
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal -1/6 binary64)) x) x)))
59.5%
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) x) x)))
60.3%
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))
60.3%
(*.f64 #s(approx (/ (sinh y) x) (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 (/.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (/.f64 #s(literal 1/6 binary64) x))) (/.f64 y x))) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)))
66.7%
(*.f64 #s(approx (/ (sinh y) x) (/.f64 y x)) (sin.f64 x))
49.0%
(*.f64 #s(approx (/ (sinh y) x) (/.f64 y x)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)))
56.1%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 (sin.f64 x) x)))
56.1%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 x))))
38.1%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 x (*.f64 x #s(literal -1/5040 binary64)))) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))))
38.2%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
38.1%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
38.3%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) #s(literal 1 binary64)))))
37.2%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
31.0%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))))))
10.8%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(approx (+ (* x (* x -1/6)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
30.3%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(literal 1 binary64))))
Compiler

Compiled 1 945 to 588 computations (69.8% saved)

regimes79.0ms (0.7%)

Memory
7.4MiB live, 169.5MiB allocated
Counts
62 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(literal 1 binary64))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(approx (+ (* x (* x -1/6)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))))
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* y (sin x)) (*.f64 y x))) x)
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) x)))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #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)) #s(approx (/ x (sin x)) #s(literal 1 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)) x)))
(*.f64 #s(approx (/ (sinh y) x) (/.f64 y x)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)))) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 x (*.f64 x #s(literal -1/5040 binary64)))) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))))
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))) x)
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))) x)
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))))))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) x) x)))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal -1/6 binary64)) x) x)))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (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 (*.f64 y y)) y)) x) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.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)) y) y))) x)
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))) x)
(*.f64 #s(approx (sinh y) (fma.f64 (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 (*.f64 y y)) y)) (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(approx (sin x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (/.f64 x #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) y))))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (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 (*.f64 y y)) y)))))
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.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)) y) y))) x)
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.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)) y) y))) x)
(*.f64 #s(approx (/ (sinh y) x) (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 (/.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (/.f64 #s(literal 1/6 binary64) x))) (/.f64 y x))) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)))
(/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) #s(literal 1 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 (sin.f64 x) x)))
(*.f64 #s(approx (/ (sinh y) x) (/.f64 y x)) (sin.f64 x))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y (sin.f64 x))) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 x))))
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (sin.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (* (sin x) (sinh y)) (*.f64 y (sin.f64 x)))))
(/.f64 (*.f64 #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))) (sinh.f64 y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)))
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (sinh.f64 y)) x)
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) x)
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 y (*.f64 y #s(literal 1/120 binary64)))) y) y)) x) (sin.f64 x))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) y y)) x) (sin.f64 x))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) (sin.f64 x))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y (*.f64 (sin.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))))) x)
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (sinh.f64 y)) x)
(/.f64 (*.f64 (sin.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))) x)
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x)
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (sin.f64 x))) (neg.f64 (sinh.f64 y)))
Outputs
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))
Calls

4 calls:

20.0ms
(sinh.f64 y)
20.0ms
x
19.0ms
y
16.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
99.9%1(sinh.f64 y)
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes85.0ms (0.8%)

Memory
4.0MiB live, 199.4MiB allocated
Counts
60 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(literal 1 binary64))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(approx (+ (* x (* x -1/6)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))))
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* y (sin x)) (*.f64 y x))) x)
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) x)))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #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)) #s(approx (/ x (sin x)) #s(literal 1 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)) x)))
(*.f64 #s(approx (/ (sinh y) x) (/.f64 y x)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)))) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 x (*.f64 x #s(literal -1/5040 binary64)))) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))))
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))) x)
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))) x)
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))))))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) x) x)))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal -1/6 binary64)) x) x)))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (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 (*.f64 y y)) y)) x) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.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)) y) y))) x)
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))) x)
(*.f64 #s(approx (sinh y) (fma.f64 (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 (*.f64 y y)) y)) (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(approx (sin x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (/.f64 x #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) y))))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (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 (*.f64 y y)) y)))))
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.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)) y) y))) x)
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.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)) y) y))) x)
(*.f64 #s(approx (/ (sinh y) x) (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 (/.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (/.f64 #s(literal 1/6 binary64) x))) (/.f64 y x))) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)))
(/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) #s(literal 1 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 (sin.f64 x) x)))
(*.f64 #s(approx (/ (sinh y) x) (/.f64 y x)) (sin.f64 x))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y (sin.f64 x))) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 x))))
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (sin.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (* (sin x) (sinh y)) (*.f64 y (sin.f64 x)))))
(/.f64 (*.f64 #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))) (sinh.f64 y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)))
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (sinh.f64 y)) x)
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) x)
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 y (*.f64 y #s(literal 1/120 binary64)))) y) y)) x) (sin.f64 x))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) y y)) x) (sin.f64 x))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) (sin.f64 x))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y (*.f64 (sin.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))))) x)
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (sinh.f64 y)) x)
(/.f64 (*.f64 (sin.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))) x)
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x)
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
Outputs
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
Calls

4 calls:

21.0ms
x
21.0ms
y
18.0ms
(sinh.f64 y)
16.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
99.8%1(sinh.f64 y)
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes100.0ms (0.9%)

Memory
-22.9MiB live, 146.1MiB allocated
Counts
57 → 3
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(literal 1 binary64))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(approx (+ (* x (* x -1/6)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))))
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* y (sin x)) (*.f64 y x))) x)
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) x)))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #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)) #s(approx (/ x (sin x)) #s(literal 1 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)) x)))
(*.f64 #s(approx (/ (sinh y) x) (/.f64 y x)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)))) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 x (*.f64 x #s(literal -1/5040 binary64)))) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))))
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))) x)
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))) x)
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))))))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) x) x)))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal -1/6 binary64)) x) x)))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (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 (*.f64 y y)) y)) x) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.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)) y) y))) x)
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))) x)
(*.f64 #s(approx (sinh y) (fma.f64 (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 (*.f64 y y)) y)) (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(approx (sin x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (/.f64 x #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) y))))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (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 (*.f64 y y)) y)))))
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.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)) y) y))) x)
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.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)) y) y))) x)
(*.f64 #s(approx (/ (sinh y) x) (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 (/.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (/.f64 #s(literal 1/6 binary64) x))) (/.f64 y x))) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)))
(/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) #s(literal 1 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 (sin.f64 x) x)))
(*.f64 #s(approx (/ (sinh y) x) (/.f64 y x)) (sin.f64 x))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y (sin.f64 x))) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 x))))
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (sin.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (* (sin x) (sinh y)) (*.f64 y (sin.f64 x)))))
(/.f64 (*.f64 #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))) (sinh.f64 y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)))
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (sinh.f64 y)) x)
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) x)
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 y (*.f64 y #s(literal 1/120 binary64)))) y) y)) x) (sin.f64 x))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) y y)) x) (sin.f64 x))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) (sin.f64 x))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y (*.f64 (sin.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))))) x)
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (sinh.f64 y)) x)
(/.f64 (*.f64 (sin.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))) x)
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) x)
Outputs
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) (sin.f64 x))
(/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) #s(literal 1 binary64)))
Calls

4 calls:

39.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
21.0ms
x
18.0ms
y
16.0ms
(sinh.f64 y)
Results
AccuracySegmentsBranch
95.8%2x
97.8%3y
99.4%3(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
93.8%1(sinh.f64 y)
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes17.0ms (0.1%)

Memory
-2.5MiB live, 36.5MiB allocated
Counts
52 → 3
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(literal 1 binary64))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(approx (+ (* x (* x -1/6)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))))
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* y (sin x)) (*.f64 y x))) x)
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) x)))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #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)) #s(approx (/ x (sin x)) #s(literal 1 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)) x)))
(*.f64 #s(approx (/ (sinh y) x) (/.f64 y x)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)))) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 x (*.f64 x #s(literal -1/5040 binary64)))) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))))
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))) x)
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))) x)
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))))))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) x) x)))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal -1/6 binary64)) x) x)))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (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 (*.f64 y y)) y)) x) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.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)) y) y))) x)
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))) x)
(*.f64 #s(approx (sinh y) (fma.f64 (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 (*.f64 y y)) y)) (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(approx (sin x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (/.f64 x #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) y))))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (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 (*.f64 y y)) y)))))
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.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)) y) y))) x)
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.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)) y) y))) x)
(*.f64 #s(approx (/ (sinh y) x) (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 (/.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (/.f64 #s(literal 1/6 binary64) x))) (/.f64 y x))) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)))
(/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) #s(literal 1 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 (sin.f64 x) x)))
(*.f64 #s(approx (/ (sinh y) x) (/.f64 y x)) (sin.f64 x))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y (sin.f64 x))) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 x))))
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (sin.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (* (sin x) (sinh y)) (*.f64 y (sin.f64 x)))))
(/.f64 (*.f64 #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))) (sinh.f64 y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)))
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (sinh.f64 y)) x)
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) x)
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 y (*.f64 y #s(literal 1/120 binary64)))) y) y)) x) (sin.f64 x))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) y y)) x) (sin.f64 x))
Outputs
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)))
(/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) #s(literal 1 binary64)))
Calls

1 calls:

14.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
99.4%3(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes16.0ms (0.1%)

Memory
-11.0MiB live, 27.4MiB allocated
Counts
47 → 3
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(literal 1 binary64))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(approx (+ (* x (* x -1/6)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))))
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* y (sin x)) (*.f64 y x))) x)
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) x)))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #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)) #s(approx (/ x (sin x)) #s(literal 1 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)) x)))
(*.f64 #s(approx (/ (sinh y) x) (/.f64 y x)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)))) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 x (*.f64 x #s(literal -1/5040 binary64)))) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))))
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))) x)
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))) x)
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))))))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) x) x)))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal -1/6 binary64)) x) x)))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (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 (*.f64 y y)) y)) x) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.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)) y) y))) x)
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))) x)
(*.f64 #s(approx (sinh y) (fma.f64 (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 (*.f64 y y)) y)) (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(approx (sin x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (/.f64 x #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) y))))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (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 (*.f64 y y)) y)))))
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.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)) y) y))) x)
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.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)) y) y))) x)
(*.f64 #s(approx (/ (sinh y) x) (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 (/.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (/.f64 #s(literal 1/6 binary64) x))) (/.f64 y x))) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)))
(/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) #s(literal 1 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 (sin.f64 x) x)))
(*.f64 #s(approx (/ (sinh y) x) (/.f64 y x)) (sin.f64 x))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y (sin.f64 x))) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 x))))
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (sin.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (* (sin x) (sinh y)) (*.f64 y (sin.f64 x)))))
(/.f64 (*.f64 #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))) (sinh.f64 y)) x)
Outputs
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 (sin.f64 x) x)))
(/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) #s(literal 1 binary64)))
Calls

1 calls:

13.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
99.3%3(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes54.0ms (0.5%)

Memory
21.0MiB live, 100.9MiB allocated
Counts
40 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(literal 1 binary64))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(approx (+ (* x (* x -1/6)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))))
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* y (sin x)) (*.f64 y x))) x)
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) x)))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #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)) #s(approx (/ x (sin x)) #s(literal 1 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)) x)))
(*.f64 #s(approx (/ (sinh y) x) (/.f64 y x)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)))) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 x (*.f64 x #s(literal -1/5040 binary64)))) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))))
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))) x)
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))) x)
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))))))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) x) x)))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal -1/6 binary64)) x) x)))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (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 (*.f64 y y)) y)) x) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.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)) y) y))) x)
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))) x)
(*.f64 #s(approx (sinh y) (fma.f64 (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 (*.f64 y y)) y)) (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(approx (sin x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (/.f64 x #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) y))))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (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 (*.f64 y y)) y)))))
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.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)) y) y))) x)
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.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)) y) y))) x)
(*.f64 #s(approx (/ (sinh y) x) (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 (/.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (/.f64 #s(literal 1/6 binary64) x))) (/.f64 y x))) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)))
(/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) #s(literal 1 binary64)))
Outputs
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
(/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) #s(literal 1 binary64)))
Calls

4 calls:

16.0ms
x
14.0ms
y
11.0ms
(sinh.f64 y)
10.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
62.4%1(sinh.f64 y)
62.4%1x
62.4%1y
73.7%2(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes15.0ms (0.1%)

Memory
-5.9MiB live, 30.3MiB allocated
Counts
39 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(literal 1 binary64))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(approx (+ (* x (* x -1/6)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))))
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* y (sin x)) (*.f64 y x))) x)
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) x)))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #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)) #s(approx (/ x (sin x)) #s(literal 1 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)) x)))
(*.f64 #s(approx (/ (sinh y) x) (/.f64 y x)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)))) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 x (*.f64 x #s(literal -1/5040 binary64)))) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))))
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))) x)
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))) x)
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))))))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) x) x)))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal -1/6 binary64)) x) x)))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (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 (*.f64 y y)) y)) x) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.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)) y) y))) x)
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))) x)
(*.f64 #s(approx (sinh y) (fma.f64 (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 (*.f64 y y)) y)) (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(approx (sin x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (/.f64 x #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) y))))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (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 (*.f64 y y)) y)))))
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.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)) y) y))) x)
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.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)) y) y))) x)
(*.f64 #s(approx (/ (sinh y) x) (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 (/.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (/.f64 #s(literal 1/6 binary64) x))) (/.f64 y x))) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)))
Outputs
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (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 (*.f64 y y)) y)) x) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)))
Calls

1 calls:

13.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
72.6%2(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes13.0ms (0.1%)

Memory
-13.0MiB live, 24.0MiB allocated
Counts
34 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(literal 1 binary64))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(approx (+ (* x (* x -1/6)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))))
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* y (sin x)) (*.f64 y x))) x)
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) x)))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #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)) #s(approx (/ x (sin x)) #s(literal 1 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)) x)))
(*.f64 #s(approx (/ (sinh y) x) (/.f64 y x)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)))) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 x (*.f64 x #s(literal -1/5040 binary64)))) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))))
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))) x)
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))) x)
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))))))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) x) x)))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal -1/6 binary64)) x) x)))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (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 (*.f64 y y)) y)) x) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.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)) y) y))) x)
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))) x)
(*.f64 #s(approx (sinh y) (fma.f64 (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 (*.f64 y y)) y)) (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(approx (sin x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (/.f64 x #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) y))))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
Outputs
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (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 (*.f64 y y)) y)) x) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))
(/.f64 #s(approx (sin x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (/.f64 x #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) y))))
Calls

1 calls:

11.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
71.9%2(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory
14.3MiB live, 14.3MiB allocated
Counts
32 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(literal 1 binary64))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(approx (+ (* x (* x -1/6)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))))
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* y (sin x)) (*.f64 y x))) x)
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) x)))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #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)) #s(approx (/ x (sin x)) #s(literal 1 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)) x)))
(*.f64 #s(approx (/ (sinh y) x) (/.f64 y x)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)))) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 x (*.f64 x #s(literal -1/5040 binary64)))) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))))
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))) x)
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))) x)
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))))))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) x) x)))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal -1/6 binary64)) x) x)))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (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 (*.f64 y y)) y)) x) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.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)) y) y))) x)
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))) x)
(*.f64 #s(approx (sinh y) (fma.f64 (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 (*.f64 y y)) y)) (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (/.f64 #s(literal 1 binary64) x)))
Outputs
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (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 (*.f64 y y)) y)) x) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)))
Calls

1 calls:

8.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
71.9%2(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory
8.3MiB live, 8.3MiB allocated
Counts
28 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(literal 1 binary64))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(approx (+ (* x (* x -1/6)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))))
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* y (sin x)) (*.f64 y x))) x)
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) x)))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #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)) #s(approx (/ x (sin x)) #s(literal 1 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)) x)))
(*.f64 #s(approx (/ (sinh y) x) (/.f64 y x)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)))) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 x (*.f64 x #s(literal -1/5040 binary64)))) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))))
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))) x)
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))) x)
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))))))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) x) x)))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal -1/6 binary64)) x) x)))
Outputs
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)))
Calls

1 calls:

7.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
71.9%2(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes14.0ms (0.1%)

Memory
-23.9MiB live, 13.5MiB allocated
Counts
26 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(literal 1 binary64))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(approx (+ (* x (* x -1/6)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))))
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* y (sin x)) (*.f64 y x))) x)
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) x)))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #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)) #s(approx (/ x (sin x)) #s(literal 1 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)) x)))
(*.f64 #s(approx (/ (sinh y) x) (/.f64 y x)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)))) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 x (*.f64 x #s(literal -1/5040 binary64)))) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))))
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))) x)
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))) x)
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))))))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) x) x)))
Outputs
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) x) x)))
Calls

1 calls:

7.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
71.8%2(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory
8.6MiB live, 8.6MiB allocated
Counts
25 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(literal 1 binary64))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(approx (+ (* x (* x -1/6)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))))
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* y (sin x)) (*.f64 y x))) x)
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) x)))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #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)) #s(approx (/ x (sin x)) #s(literal 1 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)) x)))
(*.f64 #s(approx (/ (sinh y) x) (/.f64 y x)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)))) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 x (*.f64 x #s(literal -1/5040 binary64)))) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))))
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))) x)
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))) x)
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))))))
Outputs
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64)))
Calls

1 calls:

7.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
69.9%2(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory
11.3MiB live, 11.3MiB allocated
Counts
21 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(literal 1 binary64))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(approx (+ (* x (* x -1/6)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))))
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* y (sin x)) (*.f64 y x))) x)
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) x)))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #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)) #s(approx (/ x (sin x)) #s(literal 1 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)) x)))
(*.f64 #s(approx (/ (sinh y) x) (/.f64 y x)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)))) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 x (*.f64 x #s(literal -1/5040 binary64)))) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))))
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))) x)
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64)))
Outputs
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))) x)
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64)))
Calls

1 calls:

6.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
69.7%2(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory
6.2MiB live, 6.2MiB allocated
Counts
20 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(literal 1 binary64))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(approx (+ (* x (* x -1/6)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))))
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* y (sin x)) (*.f64 y x))) x)
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) x)))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #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)) #s(approx (/ x (sin x)) #s(literal 1 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)) x)))
(*.f64 #s(approx (/ (sinh y) x) (/.f64 y x)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)))) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 x (*.f64 x #s(literal -1/5040 binary64)))) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))))
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))) x)
Outputs
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))) 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)) #s(approx (/ x (sin x)) #s(literal 1 binary64)))
Calls

1 calls:

6.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
67.6%2(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory
11.2MiB live, 11.2MiB allocated
Counts
19 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(literal 1 binary64))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(approx (+ (* x (* x -1/6)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))))
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* y (sin x)) (*.f64 y x))) x)
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) x)))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #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)) #s(approx (/ x (sin x)) #s(literal 1 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)) x)))
(*.f64 #s(approx (/ (sinh y) x) (/.f64 y x)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)))) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 x (*.f64 x #s(literal -1/5040 binary64)))) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))))
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)) #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)) #s(approx (/ x (sin x)) #s(literal 1 binary64)))
Calls

1 calls:

5.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
66.1%2(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes27.0ms (0.2%)

Memory
-13.0MiB live, 33.6MiB allocated
Counts
14 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(literal 1 binary64))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(approx (+ (* x (* x -1/6)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))))
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* y (sin x)) (*.f64 y x))) x)
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) x)))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64)))
Calls

4 calls:

11.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
5.0ms
y
5.0ms
x
5.0ms
(sinh.f64 y)
Results
AccuracySegmentsBranch
53.5%2x
51.2%1y
51.2%1(sinh.f64 y)
60.8%2(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes5.0ms (0%)

Memory
7.1MiB live, 7.1MiB allocated
Counts
12 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(literal 1 binary64))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(approx (+ (* x (* x -1/6)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))))
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* y (sin x)) (*.f64 y x))) x)
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) x)))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))) x)
Outputs
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))) x)
(/.f64 #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64)))
Calls

1 calls:

4.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
60.4%2(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory
-26.1MiB live, 11.1MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(literal 1 binary64))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(approx (+ (* x (* x -1/6)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))))
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* y (sin x)) (*.f64 y x))) x)
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) x)))
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) x)))
(/.f64 #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64)))
Calls

1 calls:

6.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
60.1%2(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes4.0ms (0%)

Memory
7.5MiB live, 7.5MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(literal 1 binary64))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(approx (+ (* x (* x -1/6)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))))
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* y (sin x)) (*.f64 y x))) x)
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64)))
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(approx (+ (* x (* x -1/6)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
(/.f64 #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64)))
Calls

1 calls:

3.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
59.7%2(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes16.0ms (0.1%)

Memory
-10.1MiB live, 27.6MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(literal 1 binary64))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(approx (+ (* x (* x -1/6)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))))
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* y (sin x)) (*.f64 y x))) x)
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) y)))
Calls

4 calls:

6.0ms
y
3.0ms
x
3.0ms
(sinh.f64 y)
3.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
38.3%1y
38.3%1(sinh.f64 y)
39.9%2x
46.9%2(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes3.0ms (0%)

Memory
4.5MiB live, 4.5MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(literal 1 binary64))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(approx (+ (* x (* x -1/6)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))))
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* y (sin x)) (*.f64 y x))) x)
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* y (sin x)) (*.f64 y x))) x)
Calls

1 calls:

2.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
42.3%2(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory
18.1MiB live, 18.1MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(literal 1 binary64))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(approx (+ (* x (* x -1/6)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))))
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(approx (+ (* x (* x -1/6)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(literal 1 binary64))))
Calls

4 calls:

2.0ms
y
2.0ms
x
2.0ms
(sinh.f64 y)
2.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
37.2%1y
37.2%1(sinh.f64 y)
37.2%1x
38.8%2(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes5.0ms (0%)

Memory
12.8MiB live, 12.8MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

4 calls:

1.0ms
x
1.0ms
y
1.0ms
(sinh.f64 y)
1.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
30.3%1x
30.3%1y
30.3%1(sinh.f64 y)
30.3%1(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch3.0ms (0%)

Memory
-37.2MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0032435104104043063
+inf
0.0ms
-inf
-1.0772756146157548e-49
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.11301420799278e-5
5.182263454531748e-5
0.0ms
-inf
-1.0772756146157548e-49
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.1304795453501647e-12
4.684165955895084e-11
0.0ms
-inf
-1.0772756146157548e-49
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-4.3387240835141815e-238
-1.1549796785356324e-253
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.192927217056614e-309
1.3463543661293447e-303
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.192927217056614e-309
1.3463543661293447e-303
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.192927217056614e-309
1.3463543661293447e-303
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.192927217056614e-309
1.3463543661293447e-303
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.192927217056614e-309
1.3463543661293447e-303
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.0
1.192927217056614e-309
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-4.3387240835141815e-238
-1.1549796785356324e-253
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-4.3387240835141815e-238
-1.1549796785356324e-253
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-4.3387240835141815e-238
-1.1549796785356324e-253
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-4.3387240835141815e-238
-1.1549796785356324e-253
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-4.3387240835141815e-238
-1.1549796785356324e-253
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-4.3387240835141815e-238
-1.1549796785356324e-253
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-4.3387240835141815e-238
-1.1549796785356324e-253
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.192927217056614e-309
1.3463543661293447e-303
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.611999925529779e-181
1.1984182596134884e-171
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-4.3387240835141815e-238
-1.1549796785356324e-253
Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify23.0ms (0.2%)

Memory
-3.3MiB live, 39.0MiB allocated
Algorithm
egg-herbie
Rules
68×*-commutative_binary64
1-exp_binary64
1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01761396
12121396
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) (*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 5764607523034235/1152921504606846976 binary64)) (*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) (sin.f64 x)) (/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) (*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 7378697629483821/147573952589676412928 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) (/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) (*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 4951760157141521/2475880078570760549798248448 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 (sin.f64 x) x))) (/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -733155940312959/1832889850782397517082802171755189663406191307018921761884252780947908096342585866198098193012776216027479008590015982084761399088452696108828481666660133095712823955710669574545075280734654641679682560526831695838459555430831205351382962374814354898944 binary64)) (*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) (/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) #s(literal 1 binary64))))
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(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 404804506614621/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (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 (*.f64 y y)) y)) x) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))) (/.f64 #s(approx (sin x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (/.f64 x #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) y)))))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 404804506614621/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (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 (*.f64 y y)) y)) x) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))) (*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x))))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 404804506614621/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))) (*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x))))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 404804506614621/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))) (*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) x) x))))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 0 binary64)) (*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -733155940312959/1832889850782397517082802171755189663406191307018921761884252780947908096342585866198098193012776216027479008590015982084761399088452696108828481666660133095712823955710669574545075280734654641679682560526831695838459555430831205351382962374814354898944 binary64)) (/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))) x) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -733155940312959/1832889850782397517082802171755189663406191307018921761884252780947908096342585866198098193012776216027479008590015982084761399088452696108828481666660133095712823955710669574545075280734654641679682560526831695838459555430831205351382962374814354898944 binary64)) (/.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))) 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)) #s(approx (/ x (sin x)) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -733155940312959/1832889850782397517082802171755189663406191307018921761884252780947908096342585866198098193012776216027479008590015982084761399088452696108828481666660133095712823955710669574545075280734654641679682560526831695838459555430831205351382962374814354898944 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)) #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)) #s(approx (/ x (sin x)) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -733155940312959/1832889850782397517082802171755189663406191307018921761884252780947908096342585866198098193012776216027479008590015982084761399088452696108828481666660133095712823955710669574545075280734654641679682560526831695838459555430831205351382962374814354898944 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))) (/.f64 #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -733155940312959/1832889850782397517082802171755189663406191307018921761884252780947908096342585866198098193012776216027479008590015982084761399088452696108828481666660133095712823955710669574545075280734654641679682560526831695838459555430831205351382962374814354898944 binary64)) (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))) x) (/.f64 #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -733155940312959/1832889850782397517082802171755189663406191307018921761884252780947908096342585866198098193012776216027479008590015982084761399088452696108828481666660133095712823955710669574545075280734654641679682560526831695838459555430831205351382962374814354898944 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) x))) (/.f64 #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -733155940312959/1832889850782397517082802171755189663406191307018921761884252780947908096342585866198098193012776216027479008590015982084761399088452696108828481666660133095712823955710669574545075280734654641679682560526831695838459555430831205351382962374814354898944 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(approx (+ (* x (* x -1/6)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))) (/.f64 #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) #s(approx (/ x (sin x)) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 404804506614621/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))) #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) y))))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 583992399055641/1167984798111281975972139931059274579172666497855631342228273284582214442805421410945513679697247078343332431250840168271536308408672112127552681297848886832192510636636227827221215793215130566656 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))) (/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* y (sin x)) (*.f64 y x))) x))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -733155940312959/1832889850782397517082802171755189663406191307018921761884252780947908096342585866198098193012776216027479008590015982084761399088452696108828481666660133095712823955710669574545075280734654641679682560526831695838459555430831205351382962374814354898944 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(approx (+ (* x (* x -1/6)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(literal 1 binary64))))
Outputs
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) (*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 5764607523034235/1152921504606846976 binary64)) (*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) (sin.f64 x)) (/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal -inf.0 binary64)) (*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) y)) x) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) (if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal 5764607523034235/1152921504606846976 binary64)) (*.f64 (sin.f64 x) (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) y)) x)) (/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) (*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) x) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 7378697629483821/147573952589676412928 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))) (/.f64 (sinh.f64 y) #s(approx (/ x (sin x)) #s(literal 1 binary64)))))
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(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 404804506614621/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))) #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* y (/ (sin x) x)) (fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) y))))
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#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y #s(approx (/ (sin x) x) #s(literal 1 binary64))))

soundness2.2s (19.9%)

Memory
-1.8MiB live, 1 515.5MiB allocated
Rules
15 712×lower-fma.f64
15 712×lower-fma.f32
15 192×lower-fma.f64
15 192×lower-fma.f32
9 088×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01924604
15854434
217794320
340274269
082914071
01944048
16153820
219853690
343053610
463223608
082453453
0616
01016
12716
211716
384016
0825716
045350
080350
1296339
21959339
08155328
055443
091443
1302433
21866433
08299418
0113944
1373889
21229849
33047828
08158792
02054696
16614448
220784326
345394232
468454230
080754039
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 2 625 to 993 computations (62.2% saved)

preprocess304.0ms (2.7%)

Memory
17.6MiB live, 254.7MiB allocated
Remove

(negabs y)

(abs x)

Compiler

Compiled 2 286 to 326 computations (85.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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