Linear.Quaternion:$ccosh from linear-1.19.1.3

Time bar (total: 9.8s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze10.0ms (0.1%)

Memory
10.3MiB live, 10.3MiB 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)

sample1.3s (12.9%)

Memory
11.2MiB live, 990.1MiB allocated
Samples
951.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 549.0ms
ival-sin: 370.0ms (67.4% of total)
ival-div: 62.0ms (11.3% of total)
ival-mult: 57.0ms (10.4% of total)
ival-sinh: 50.0ms (9.1% of total)
ival-true: 6.0ms (1.1% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

explain117.0ms (1.2%)

Memory
-24.4MiB live, 75.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
360-3(-2.3143493399970783e-12 -1.5559653128324147e-307)(/.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/n330
(*.f64 (sin.f64 x) (sinh.f64 y))underflow33
Confusion
Predicted +Predicted -
+333
-0220
Precision
1.0
Recall
0.9166666666666666
Confusion?
Predicted +Predicted MaybePredicted -
+3303
-00220
Precision?
1.0
Recall?
0.9166666666666666
Freqs
test
numberfreq
0223
133
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
82.0ms512×0valid
Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
ival-div: 46.0ms (70.9% of total)
ival-sin: 12.0ms (18.5% of total)
ival-mult: 4.0ms (6.2% of total)
ival-sinh: 3.0ms (4.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess329.0ms (3.4%)

Memory
3.0MiB live, 125.7MiB allocated
Algorithm
egg-herbie
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)
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
Symmetry

(abs x)

(negabs y)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.3%
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify237.0ms (2.4%)

Memory
13.8MiB live, 51.6MiB 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)
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 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(*.f64 (sin.f64 x) (sinh.f64 y))
(*.f64 (sinh.f64 y) (sin.f64 x))
(sin.f64 x)
x
(sinh.f64 y)
y

localize78.0ms (0.8%)

Memory
-4.9MiB live, 32.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(sinh.f64 y)
accuracy0.00390625
(sin.f64 x)
accuracy0.07421875
(*.f64 (sin.f64 x) (sinh.f64 y))
accuracy8.099408037579861
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Samples
24.0ms256×0valid
Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-div: 8.0ms (45.4% of total)
ival-sin: 6.0ms (34.1% of total)
ival-mult: 2.0ms (11.4% of total)
ival-sinh: 1.0ms (5.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series250.0ms (2.6%)

Memory
-22.6MiB live, 14.3MiB 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 (/ (* 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 (* 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 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 (/ (* (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))))) (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 (- (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 (/ (* (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))))) (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 (- (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 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 (* 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 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 (* 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))))) (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 (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 (/ (* (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))))) (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 (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>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
240.0ms
x
@inf
((/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (sin x) (sinh y))
3.0ms
x
@-inf
((/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (sin x) (sinh y))
2.0ms
y
@-inf
((/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (sin x) (sinh y))
2.0ms
y
@inf
((/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (sin x) (sinh y))
1.0ms
y
@0
((/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (sin x) (sinh y))

simplify520.0ms (5.3%)

Memory
12.6MiB live, 167.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0113944
1373889
21224849
33021828
08122792
Stop Event
iter limit
node limit
Counts
72 → 70
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)))
(* 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))))))))
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 (/ (* (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)))))
(* 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 (- (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 (/ (* (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)))))
(* 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 (- (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))))
(+ (* -1/12 (* (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 (* 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))))))))))
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))))
(* 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)))))
(* 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)))))
(sin x)
(sin x)
(sin x)
(sin 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)))))
(* 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)))))
(sin x)
(sin x)
(sin x)
(sin x)
Outputs
(/ (* y (sin x)) x)
(*.f64 (/.f64 (sin.f64 x) x) y)
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #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 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)
(* 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)))
(fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))) y (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) y)))
(* y (sin x))
(*.f64 (sin.f64 x) y)
(* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))))
(*.f64 (sin.f64 x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) y))
(* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))))
(*.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)
(* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 (sin.f64 x) y))
y
(* y (+ 1 (* 1/6 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) y)
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y)
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 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))))))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #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 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/10080 binary64) (*.f64 x x) #s(literal 1/240 binary64)) #s(literal -1/12 binary64))) (*.f64 x x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
(* 1/2 (* x (- (exp y) (/ 1 (exp y)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x) (fma.f64 (*.f64 x x) #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)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal -1/12 binary64)) #s(literal 1/2 binary64))) x)
(* 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))))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/10080 binary64) (*.f64 x x) #s(literal 1/240 binary64)) #s(literal -1/12 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #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 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)

rewrite182.0ms (1.9%)

Memory
6.0MiB live, 167.6MiB allocated
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
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eval126.0ms (1.3%)

Memory
-11.5MiB live, 142.6MiB allocated
Compiler

Compiled 9 286 to 1 554 computations (83.3% saved)

prune34.0ms (0.3%)

Memory
-4.0MiB live, 46.8MiB allocated
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New5569565
Fresh000
Picked101
Done000
Total5579566
Accuracy
100.0%
Counts
566 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.9%
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) x)
38.0%
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x)
86.4%
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (*.f64 (sinh.f64 y) (sin.f64 x))))
99.8%
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
99.9%
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (sin.f64 x))) (neg.f64 (sinh.f64 y)))
87.3%
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x))))
50.6%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
56.0%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
90.1%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
Compiler

Compiled 196 to 160 computations (18.4% saved)

simplify146.0ms (1.5%)

Memory
23.7MiB live, 183.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (sinh.f64 y) (sin.f64 x))
cost-diff0
(neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))
cost-diff0
(/.f64 #s(literal -1 binary64) x)
cost-diff448
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x))))
cost-diff0
(exp.f64 y)
cost-diff0
(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))
cost-diff0
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
cost-diff7040
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
cost-diff0
(sin.f64 x)
cost-diff0
(/.f64 (sin.f64 x) x)
cost-diff0
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
cost-diff0
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
cost-diff0
(sin.f64 x)
cost-diff0
(/.f64 (sin.f64 x) x)
cost-diff0
(*.f64 (/.f64 (sin.f64 x) x) y)
cost-diff0
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
cost-diff0
(sin.f64 x)
cost-diff0
(/.f64 x (sin.f64 x))
cost-diff256
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (sin.f64 x))) (neg.f64 (sinh.f64 y)))
cost-diff576
(/.f64 #s(literal -1 binary64) (/.f64 x (sin.f64 x)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036219
059213
1113210
2276206
3822198
43124198
56452198
08252196
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (sin.f64 x))) (neg.f64 (sinh.f64 y)))
(/.f64 #s(literal -1 binary64) (/.f64 x (sin.f64 x)))
#s(literal -1 binary64)
(/.f64 x (sin.f64 x))
x
(sin.f64 x)
(neg.f64 (sinh.f64 y))
(sinh.f64 y)
y
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
(*.f64 (/.f64 (sin.f64 x) x) y)
(/.f64 (sin.f64 x) x)
(sin.f64 x)
x
y
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(/.f64 (sin.f64 x) x)
(sin.f64 x)
x
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))
(exp.f64 y)
y
(exp.f64 (neg.f64 y))
(neg.f64 y)
#s(literal 1/2 binary64)
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x))))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))
(*.f64 (sinh.f64 y) (sin.f64 x))
(sinh.f64 y)
y
(sin.f64 x)
Outputs
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (sin.f64 x))) (neg.f64 (sinh.f64 y)))
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
(/.f64 #s(literal -1 binary64) (/.f64 x (sin.f64 x)))
(/.f64 (sin.f64 x) (neg.f64 x))
#s(literal -1 binary64)
(/.f64 x (sin.f64 x))
x
(sin.f64 x)
(neg.f64 (sinh.f64 y))
(sinh.f64 y)
y
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
(*.f64 (/.f64 (sin.f64 x) x) y)
(/.f64 (sin.f64 x) x)
(sin.f64 x)
x
y
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) x) (sin.f64 x)))
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)
(*.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) x) (sin.f64 x))
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) (sin.f64 x))
(/.f64 (sin.f64 x) x)
(sin.f64 x)
x
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
(sinh.f64 y)
(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))
(exp.f64 y)
y
(exp.f64 (neg.f64 y))
(neg.f64 y)
#s(literal 1/2 binary64)
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x))))
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))
(*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x))
(*.f64 (sinh.f64 y) (sin.f64 x))
(sinh.f64 y)
y
(sin.f64 x)

localize210.0ms (2.1%)

Memory
-25.2MiB live, 330.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(sinh.f64 y)
accuracy0.00390625
(sin.f64 x)
accuracy0.07421875
(*.f64 (sinh.f64 y) (sin.f64 x))
accuracy8.13510141071951
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x))))
accuracy0
(exp.f64 (neg.f64 y))
accuracy0
(exp.f64 y)
accuracy22.30768940423614
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
accuracy28.536982322226173
(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))
accuracy0.1015625
(/.f64 (sin.f64 x) x)
accuracy0.2849480753464332
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))
accuracy1.4271229779741745
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
accuracy6.753769250981896
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
accuracy0.00390625
(sin.f64 x)
accuracy0.0703125
(*.f64 (/.f64 (sin.f64 x) x) y)
accuracy0.1015625
(/.f64 (sin.f64 x) x)
accuracy31.586997559019917
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
accuracy0.00390625
(sin.f64 x)
accuracy0.0234375
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (sin.f64 x))) (neg.f64 (sinh.f64 y)))
accuracy0.12890625
(/.f64 x (sin.f64 x))
accuracy0.140625
(/.f64 #s(literal -1 binary64) (/.f64 x (sin.f64 x)))
Samples
108.0ms159×0valid
68.0ms97×1valid
Compiler

Compiled 391 to 67 computations (82.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 146.0ms
ival-mult: 67.0ms (45.8% of total)
ival-exp: 23.0ms (15.7% of total)
ival-sinh: 14.0ms (9.6% of total)
ival-div: 13.0ms (8.9% of total)
const: 9.0ms (6.2% of total)
ival-sin: 7.0ms (4.8% of total)
adjust: 4.0ms (2.7% of total)
ival-add: 3.0ms (2.1% of total)
ival-neg: 3.0ms (2.1% of total)
ival-sub: 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)

series36.0ms (0.4%)

Memory
36.1MiB live, 110.0MiB allocated
Counts
20 → 348
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal -1 binary64) (/.f64 x (sin.f64 x))) (patch (/.f64 #s(literal -1 binary64) (/.f64 x (sin.f64 x))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (sin.f64 x))) (neg.f64 (sinh.f64 y))) (patch (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (sin.f64 x))) (neg.f64 (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 (/.f64 (sin.f64 x) x) y)) (patch #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (sin.f64 x) x) y) (patch (*.f64 (/.f64 (sin.f64 x) x) y) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 x) x) (patch (/.f64 (sin.f64 x) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) (patch #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) (patch (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) (patch #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (patch (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #<representation binary64>) () ())
#s(alt (exp.f64 y) (patch (exp.f64 y) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))) (patch (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())
#s(alt (neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) (patch (neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) #<representation binary64>) () ())
#s(alt (*.f64 (sinh.f64 y) (sin.f64 x)) (patch (*.f64 (sinh.f64 y) (sin.f64 x)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt (exp.f64 (neg.f64 y)) (patch (exp.f64 (neg.f64 y)) #<representation binary64>) () ())
#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())
Outputs
#s(alt (/ (* y (sin x)) x) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (sin.f64 x))) (neg.f64 (sinh.f64 y))) (patch (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (sin.f64 x))) (neg.f64 (sinh.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (sin.f64 x))) (neg.f64 (sinh.f64 y))) (patch (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (sin.f64 x))) (neg.f64 (sinh.f64 y))) #<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(literal -1 binary64) (/.f64 x (sin.f64 x))) (neg.f64 (sinh.f64 y))) (patch (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (sin.f64 x))) (neg.f64 (sinh.f64 y))) #<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(literal -1 binary64) (/.f64 x (sin.f64 x))) (neg.f64 (sinh.f64 y))) (patch (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (sin.f64 x))) (neg.f64 (sinh.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ (* y (sin x)) x) (taylor 0 y) (#s(alt #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) (patch #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) (taylor 0 y) (#s(alt #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) (patch #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) #<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 #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) (patch #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) #<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 #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) (patch #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* y (sin x)) x) (taylor 0 y) (#s(alt (*.f64 (/.f64 (sin.f64 x) x) y) (patch (*.f64 (/.f64 (sin.f64 x) x) y) #<representation binary64>) () ())) ())
#s(alt (/ (* y (sin x)) x) (taylor 0 y) (#s(alt (*.f64 (/.f64 (sin.f64 x) x) y) (patch (*.f64 (/.f64 (sin.f64 x) x) y) #<representation binary64>) () ())) ())
#s(alt (/ (* y (sin x)) x) (taylor 0 y) (#s(alt (*.f64 (/.f64 (sin.f64 x) x) y) (patch (*.f64 (/.f64 (sin.f64 x) x) y) #<representation binary64>) () ())) ())
#s(alt (/ (* y (sin x)) x) (taylor 0 y) (#s(alt (*.f64 (/.f64 (sin.f64 x) x) y) (patch (*.f64 (/.f64 (sin.f64 x) x) y) #<representation binary64>) () ())) ())
#s(alt (/ (* y (sin x)) x) (taylor 0 y) (#s(alt #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) (patch #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) (taylor 0 y) (#s(alt #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) (patch #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) #<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 #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) (patch #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) #<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 #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) (patch #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) x) (taylor 0 y) (#s(alt (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)) (taylor 0 y) (#s(alt (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* (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) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* (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) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 y) (#s(alt (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) (patch (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* 1/6 (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) (patch (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (taylor 0 y) (#s(alt (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) (patch (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (taylor 0 y) (#s(alt (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) (patch (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (* y (sin x)) x) (taylor 0 y) (#s(alt #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) (patch #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) (taylor 0 y) (#s(alt #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) (patch #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) #<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 #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) (patch #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) #<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 #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) (patch #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (patch (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (* 1/3 (pow y 2)))) (taylor 0 y) (#s(alt (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (patch (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (* (pow y 2) (+ 1/3 (* 1/60 (pow y 2)))))) (taylor 0 y) (#s(alt (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (patch (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (* (pow y 2) (+ 1/3 (* (pow y 2) (+ 1/60 (* 1/2520 (pow y 2)))))))) (taylor 0 y) (#s(alt (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (patch (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (exp.f64 y) (patch (exp.f64 y) #<representation binary64>) () ())) ())
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (exp.f64 y) (patch (exp.f64 y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ 1 (* 1/2 y)))) (taylor 0 y) (#s(alt (exp.f64 y) (patch (exp.f64 y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))) (taylor 0 y) (#s(alt (exp.f64 y) (patch (exp.f64 y) #<representation binary64>) () ())) ())
#s(alt (/ (* y (sin x)) x) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))) (patch (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 (sinh.f64 y) (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(literal -1 binary64) x) (neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))) (patch (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))) #<representation binary64>) () ())) ())
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#s(alt (/ (sin x) x) (taylor -inf x) (#s(alt (/.f64 (sin.f64 x) x) (patch (/.f64 (sin.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) x) (taylor -inf x) (#s(alt (/.f64 (sin.f64 x) x) (patch (/.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 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) (patch #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) #<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 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) (patch #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) #<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 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) (patch #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) #<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 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) (patch #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x) (taylor -inf x) (#s(alt (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x) (taylor -inf x) (#s(alt (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x) (taylor -inf x) (#s(alt (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x) (taylor -inf x) (#s(alt (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<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 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) (patch #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) #<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 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) (patch #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) #<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 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) (patch #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) #<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 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) (patch #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))) (patch (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))) (patch (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))) (patch (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))) (patch (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) (taylor -inf x) (#s(alt (neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) (patch (neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) (taylor -inf x) (#s(alt (neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) (patch (neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) (taylor -inf x) (#s(alt (neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) (patch (neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) (taylor -inf x) (#s(alt (neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) (patch (neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) (taylor -inf x) (#s(alt (*.f64 (sinh.f64 y) (sin.f64 x)) (patch (*.f64 (sinh.f64 y) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) (taylor -inf x) (#s(alt (*.f64 (sinh.f64 y) (sin.f64 x)) (patch (*.f64 (sinh.f64 y) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) (taylor -inf x) (#s(alt (*.f64 (sinh.f64 y) (sin.f64 x)) (patch (*.f64 (sinh.f64 y) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) (taylor -inf x) (#s(alt (*.f64 (sinh.f64 y) (sin.f64 x)) (patch (*.f64 (sinh.f64 y) (sin.f64 x)) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
7.0ms
x
@0
((/ -1 (/ x (sin x))) (* (/ -1 (/ x (sin x))) (neg (sinh y))) (/ x (sin x)) (sin x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (* (- (exp y) (exp (neg y))) 1/2) (/ (* (sin x) (sinh y)) x) (- (exp y) (exp (neg y))) (exp y) (* (/ -1 x) (neg (* (sinh y) (sin x)))) (/ -1 x) (neg (* (sinh y) (sin x))) (* (sinh y) (sin x)) (+ (* 1/120 (* y y)) 1/6) (exp (neg y)) (sinh y))
5.0ms
x
@-inf
((/ -1 (/ x (sin x))) (* (/ -1 (/ x (sin x))) (neg (sinh y))) (/ x (sin x)) (sin x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (* (- (exp y) (exp (neg y))) 1/2) (/ (* (sin x) (sinh y)) x) (- (exp y) (exp (neg y))) (exp y) (* (/ -1 x) (neg (* (sinh y) (sin x)))) (/ -1 x) (neg (* (sinh y) (sin x))) (* (sinh y) (sin x)) (+ (* 1/120 (* y y)) 1/6) (exp (neg y)) (sinh y))
4.0ms
x
@inf
((/ -1 (/ x (sin x))) (* (/ -1 (/ x (sin x))) (neg (sinh y))) (/ x (sin x)) (sin x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (* (- (exp y) (exp (neg y))) 1/2) (/ (* (sin x) (sinh y)) x) (- (exp y) (exp (neg y))) (exp y) (* (/ -1 x) (neg (* (sinh y) (sin x)))) (/ -1 x) (neg (* (sinh y) (sin x))) (* (sinh y) (sin x)) (+ (* 1/120 (* y y)) 1/6) (exp (neg y)) (sinh y))
3.0ms
y
@inf
((/ -1 (/ x (sin x))) (* (/ -1 (/ x (sin x))) (neg (sinh y))) (/ x (sin x)) (sin x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (* (- (exp y) (exp (neg y))) 1/2) (/ (* (sin x) (sinh y)) x) (- (exp y) (exp (neg y))) (exp y) (* (/ -1 x) (neg (* (sinh y) (sin x)))) (/ -1 x) (neg (* (sinh y) (sin x))) (* (sinh y) (sin x)) (+ (* 1/120 (* y y)) 1/6) (exp (neg y)) (sinh y))
3.0ms
y
@-inf
((/ -1 (/ x (sin x))) (* (/ -1 (/ x (sin x))) (neg (sinh y))) (/ x (sin x)) (sin x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (* (- (exp y) (exp (neg y))) 1/2) (/ (* (sin x) (sinh y)) x) (- (exp y) (exp (neg y))) (exp y) (* (/ -1 x) (neg (* (sinh y) (sin x)))) (/ -1 x) (neg (* (sinh y) (sin x))) (* (sinh y) (sin x)) (+ (* 1/120 (* y y)) 1/6) (exp (neg y)) (sinh y))

simplify197.0ms (2%)

Memory
-7.7MiB live, 271.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02814315
19004103
228993907
371233907
083163713
Stop Event
iter limit
node limit
Counts
348 → 344
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)))
(/ (* 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)))
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) 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)))
(/ (sin x) x)
(+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))
(+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))
(+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) 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))))))))
(/ (* 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)))
(* 2 y)
(* y (+ 2 (* 1/3 (pow y 2))))
(* y (+ 2 (* (pow y 2) (+ 1/3 (* 1/60 (pow y 2))))))
(* y (+ 2 (* (pow y 2) (+ 1/3 (* (pow y 2) (+ 1/60 (* 1/2520 (pow y 2))))))))
1
(+ 1 y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
(/ (* 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 (* y (sin x)))
(* y (- (* -1/6 (* (pow y 2) (sin x))) (sin x)))
(* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))) (sin x)))
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* -1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))) (* 1/6 (sin x)))) (sin x)))
(* 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))))))))
1/6
(+ 1/6 (* 1/120 (pow y 2)))
(+ 1/6 (* 1/120 (pow y 2)))
(+ 1/6 (* 1/120 (pow y 2)))
1
(+ 1 (* -1 y))
(+ 1 (* y (- (* 1/2 y) 1)))
(+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))
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 (/ (* (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)
(* 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))
(* 1/120 (/ (* (pow y 4) (sin x)) x))
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2))))))
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4))))))
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4))))))
(* 1/2 (- (exp y) (exp (neg y))))
(* 1/2 (- (exp y) (exp (neg y))))
(* 1/2 (- (exp y) (exp (neg y))))
(* 1/2 (- (exp y) (exp (neg 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))
(- (exp y) (exp (neg y)))
(- (exp y) (exp (neg y)))
(- (exp y) (exp (neg y)))
(- (exp y) (exp (neg y)))
(exp y)
(exp y)
(exp y)
(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)))))
(* -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)))))
(* 1/120 (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)))))
(exp (neg y))
(exp (neg y))
(exp (neg y))
(exp (neg 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 (/ (* (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)
(* 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))
(* 1/120 (/ (* (pow y 4) (sin x)) x))
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2))))))
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4))))))
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4))))))
(* 1/2 (- (exp y) (exp (* -1 y))))
(* 1/2 (- (exp y) (exp (* -1 y))))
(* 1/2 (- (exp y) (exp (* -1 y))))
(* 1/2 (- (exp y) (exp (* -1 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))
(- (exp y) (exp (* -1 y)))
(- (exp y) (exp (* -1 y)))
(- (exp y) (exp (* -1 y)))
(- (exp y) (exp (* -1 y)))
(exp y)
(exp y)
(exp y)
(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)))))
(* -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)))))
(* 1/120 (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)))))
(exp (* -1 y))
(exp (* -1 y))
(exp (* -1 y))
(exp (* -1 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
(- (* 1/6 (pow x 2)) 1)
(- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1)
(- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 1)
(* 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
(+ 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
(* 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))))
(* 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)))))))))
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))))))
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)))
(* 1/2 (- (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 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* 1/120 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 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 (- (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 x)
(/ -1 x)
(/ -1 x)
(/ -1 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 (- (* (pow x 2) (- (* -1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* -1/12 (- (exp y) (/ 1 (exp y)))))) (* 1/2 (- (exp y) (/ 1 (exp y))))))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* 1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))) (* -1/12 (- (exp y) (/ 1 (exp y)))))) (* 1/2 (- (exp y) (/ 1 (exp y))))))
(* 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 (/ (sin x) x))
(* -1 (/ (sin x) x))
(* -1 (/ (sin x) x))
(* -1 (/ (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))
(/ x (sin x))
(/ x (sin x))
(/ x (sin x))
(/ x (sin x))
(sin x)
(sin x)
(sin x)
(sin 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)
(/ (sin x) x)
(/ (sin x) x)
(/ (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))
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) 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 x)
(/ -1 x)
(/ -1 x)
(/ -1 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)))))
(* -1 (/ (sin x) x))
(* -1 (/ (sin x) x))
(* -1 (/ (sin x) x))
(* -1 (/ (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))
(/ x (sin x))
(/ x (sin x))
(/ x (sin x))
(/ x (sin x))
(sin x)
(sin x)
(sin x)
(sin 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)
(/ (sin x) x)
(/ (sin x) x)
(/ (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))
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) 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 x)
(/ -1 x)
(/ -1 x)
(/ -1 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)))))
Outputs
(/ (* y (sin x)) x)
(*.f64 (/.f64 (sin.f64 x) x) y)
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y)
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))
(fma.f64 (/.f64 y x) (sin.f64 x) (*.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 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 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))) y)
(/ (* y (sin x)) x)
(*.f64 (/.f64 (sin.f64 x) x) y)
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y)
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))
(fma.f64 (/.f64 y x) (sin.f64 x) (*.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 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 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))) y)
(/ (* y (sin x)) x)
(*.f64 (/.f64 (sin.f64 x) x) y)
(/ (* y (sin x)) x)
(*.f64 (/.f64 (sin.f64 x) x) y)
(/ (* y (sin x)) x)
(*.f64 (/.f64 (sin.f64 x) x) y)
(/ (* y (sin x)) x)
(*.f64 (/.f64 (sin.f64 x) x) y)
(/ (* y (sin x)) x)
(*.f64 (/.f64 (sin.f64 x) x) y)
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y)
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))
(fma.f64 (/.f64 y x) (sin.f64 x) (*.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 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 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))) y)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))
(+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))
(fma.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (/.f64 (sin.f64 x) x))
(+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))
(fma.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (/.f64 (sin.f64 x) x))
y
(* y (+ 1 (* 1/6 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) y)
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y)
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y)
(/ (* y (sin x)) x)
(*.f64 (/.f64 (sin.f64 x) x) y)
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y)
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))
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(* -1 (/ (sin x) x))
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(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
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(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
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(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
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(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
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(* -1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
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(* -1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
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(*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
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(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
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(* -1 (/ (sin x) x))
(/.f64 (sin.f64 x) (neg.f64 x))
(* -1 (/ (sin x) x))
(/.f64 (sin.f64 x) (neg.f64 x))
(* -1 (/ (sin x) x))
(/.f64 (sin.f64 x) (neg.f64 x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/ x (sin x))
(/.f64 x (sin.f64 x))
(/ x (sin x))
(/.f64 x (sin.f64 x))
(/ x (sin x))
(/.f64 x (sin.f64 x))
(/ x (sin x))
(/.f64 x (sin.f64 x))
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/ (* y (sin x)) x)
(*.f64 (/.f64 (sin.f64 x) x) y)
(/ (* y (sin x)) x)
(*.f64 (/.f64 (sin.f64 x) x) y)
(/ (* y (sin x)) x)
(*.f64 (/.f64 (sin.f64 x) x) y)
(/ (* y (sin x)) x)
(*.f64 (/.f64 (sin.f64 x) x) y)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) (sin.f64 x))
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) (sin.f64 x))
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) (sin.f64 x))
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) (sin.f64 x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
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(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
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(/ -1 x)
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(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* -1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
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(*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
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(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))

rewrite382.0ms (3.9%)

Memory
-17.4MiB live, 269.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036155
059145
1181134
21118133
08629132
Stop Event
iter limit
node limit
iter limit
Counts
20 → 1 042
Calls
Call 1
Inputs
(/.f64 #s(literal -1 binary64) (/.f64 x (sin.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (sin.f64 x))) (neg.f64 (sinh.f64 y)))
(/.f64 x (sin.f64 x))
(sin.f64 x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
(*.f64 (/.f64 (sin.f64 x) x) y)
(/.f64 (sin.f64 x) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))
(exp.f64 y)
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x))))
(/.f64 #s(literal -1 binary64) x)
(neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))
(*.f64 (sinh.f64 y) (sin.f64 x))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))
(exp.f64 (neg.f64 y))
(sinh.f64 y)
Outputs
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eval490.0ms (5%)

Memory
46.7MiB live, 422.7MiB allocated
Compiler

Compiled 30 368 to 4 052 computations (86.7% saved)

prune288.0ms (2.9%)

Memory
-5.1MiB live, 160.8MiB allocated
Pruning

22 alts after pruning (20 fresh and 2 done)

PrunedKeptTotal
New1 574181 592
Fresh224
Picked325
Done000
Total1 579221 601
Accuracy
100.0%
Counts
1 601 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.3%
(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x)
38.0%
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x)
86.4%
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (*.f64 (sinh.f64 y) (sin.f64 x))))
37.9%
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 #s(approx (* (sinh y) (sin x)) (*.f64 (sin.f64 x) y))))
68.2%
(*.f64 #s(approx (/ -1 (/ x (sin x))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64))) (neg.f64 (sinh.f64 y)))
50.6%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
66.9%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (sin.f64 x)))
50.6%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 x))) y))
55.6%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
16.8%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
83.3%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y))
90.1%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
60.9%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
61.1%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
34.5%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
31.5%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
34.3%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) y))
26.9%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
60.7%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
55.0%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
57.7%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
65.1%
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
Compiler

Compiled 522 to 413 computations (20.9% saved)

simplify164.0ms (1.7%)

Memory
-29.0MiB live, 193.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 x)
cost-diff0
(/.f64 y x)
cost-diff0
(*.f64 (/.f64 y x) (sin.f64 x))
cost-diff0
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (sin.f64 x)))
cost-diff0
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
cost-diff0
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
cost-diff0
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (sin x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)
cost-diff0
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
cost-diff0
#s(approx (/ (sin x) x) #s(literal 1 binary64))
cost-diff0
(*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)
cost-diff0
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
cost-diff0
(sin.f64 x)
cost-diff0
(sinh.f64 y)
cost-diff0
(*.f64 (sinh.f64 y) (sin.f64 x))
cost-diff0
(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038357
064357
1118357
2220357
3567355
41433355
52345355
63309355
74572355
85694355
97063355
08060353
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x)
(*.f64 (sinh.f64 y) (sin.f64 x))
(sinh.f64 y)
y
(sin.f64 x)
x
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
(*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)
#s(approx (/ (sin x) x) #s(literal 1 binary64))
#s(literal 1 binary64)
y
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
(*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)
#s(approx (/ (sin x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(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)
#s(literal 1 binary64)
y
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
(*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)
(*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(*.f64 x x)
x
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
#s(literal 1 binary64)
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (sin.f64 x)))
(*.f64 (/.f64 y x) (sin.f64 x))
(/.f64 y x)
y
x
(sin.f64 x)
Outputs
(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x)
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
(*.f64 (sinh.f64 y) (sin.f64 x))
(*.f64 (sin.f64 x) (sinh.f64 y))
(sinh.f64 y)
y
(sin.f64 x)
x
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
(*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)
#s(approx (/ (sin x) x) #s(literal 1 binary64))
#s(literal 1 binary64)
y
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
(*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)
(*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)
#s(approx (/ (sin x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(*.f64 x x)
x
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
#s(literal 1 binary64)
y
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(*.f64 x x)
x
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
#s(literal 1 binary64)
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (sin.f64 x)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (/.f64 (sin.f64 x) x) y)
(/.f64 y x)
y
x
(sin.f64 x)

localize113.0ms (1.2%)

Memory
5.0MiB live, 279.3MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 y x)
accuracy0.00390625
(sin.f64 x)
accuracy10.711718280920692
(*.f64 (/.f64 y x) (sin.f64 x))
accuracy31.586997559019917
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (sin.f64 x)))
accuracy0.2849480753464332
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))
accuracy1.4271229779741745
(*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
accuracy6.753769250981896
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
accuracy27.243235900831667
#s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
accuracy0.05078125
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
accuracy0.0703125
(*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)
accuracy27.129891597914735
#s(approx (/ (sin x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
accuracy31.586997559019917
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
accuracy0.0703125
(*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)
accuracy26.66063900687874
#s(approx (/ (sin x) x) #s(literal 1 binary64))
accuracy31.586997559019917
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
accuracy0.00390625
(sinh.f64 y)
accuracy0.00390625
(sin.f64 x)
accuracy0.07421875
(*.f64 (sinh.f64 y) (sin.f64 x))
accuracy8.099408037579861
(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x)
Samples
85.0ms256×0valid
Compiler

Compiled 514 to 70 computations (86.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-mult: 25.0ms (40% of total)
const: 14.0ms (22.4% of total)
ival-add: 9.0ms (14.4% of total)
ival-div: 6.0ms (9.6% of total)
ival-sin: 6.0ms (9.6% of total)
ival-sinh: 2.0ms (3.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series82.0ms (0.8%)

Memory
-4.9MiB live, 77.0MiB allocated
Counts
20 → 372
Calls
Call 1
Inputs
#s(alt (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) (patch (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #<representation binary64>) () ())
#s(alt (*.f64 (sinh.f64 y) (sin.f64 x)) (patch (*.f64 (sinh.f64 y) (sin.f64 x)) #<representation binary64>) () ())
#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())
#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) (patch #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y) (patch (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y) #<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 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) (patch #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (patch (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) #<representation binary64>) () ())
#s(alt #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) (patch #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (sin.f64 x))) (patch #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (sin.f64 x))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 y x) (sin.f64 x)) (patch (*.f64 (/.f64 y x) (sin.f64 x)) #<representation binary64>) () ())
#s(alt (/.f64 y x) (patch (/.f64 y x) #<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 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (/ (* y (sin x)) x) (taylor 0 y) (#s(alt (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) (patch (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) (taylor 0 y) (#s(alt (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) (patch (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) 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 (sinh.f64 y) (sin.f64 x)) x) (patch (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) 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 (sinh.f64 y) (sin.f64 x)) x) (patch (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #<representation binary64>) () ())) ())
#s(alt (* y (sin x)) (taylor 0 y) (#s(alt (*.f64 (sinh.f64 y) (sin.f64 x)) (patch (*.f64 (sinh.f64 y) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))) (taylor 0 y) (#s(alt (*.f64 (sinh.f64 y) (sin.f64 x)) (patch (*.f64 (sinh.f64 y) (sin.f64 x)) #<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 (sinh.f64 y) (sin.f64 x)) (patch (*.f64 (sinh.f64 y) (sin.f64 x)) #<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 (sinh.f64 y) (sin.f64 x)) (patch (*.f64 (sinh.f64 y) (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 (/ (* y (sin x)) x) (taylor 0 y) (#s(alt #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) (patch #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) (taylor 0 y) (#s(alt #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) (patch #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) #<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 #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) (patch #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) #<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 #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) (patch #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* y (sin x)) x) (taylor 0 y) (#s(alt (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y) (patch (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (/ (* y (sin x)) x) (taylor 0 y) (#s(alt (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y) (patch (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (/ (* y (sin x)) x) (taylor 0 y) (#s(alt (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y) (patch (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (/ (* y (sin x)) x) (taylor 0 y) (#s(alt (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y) (patch (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (/ (* y (sin x)) x) (taylor 0 y) (#s(alt #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) (patch #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) (taylor 0 y) (#s(alt #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) (patch #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) #<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 #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) (patch #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) #<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 #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) (patch #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* y (sin x)) x) (taylor 0 y) (#s(alt (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (patch (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) #<representation binary64>) () ())) ())
#s(alt (/ (* y (sin x)) x) (taylor 0 y) (#s(alt (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (patch (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) #<representation binary64>) () ())) ())
#s(alt (/ (* y (sin x)) x) (taylor 0 y) (#s(alt (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (patch (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) #<representation binary64>) () ())) ())
#s(alt (/ (* y (sin x)) x) (taylor 0 y) (#s(alt (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (patch (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) #<representation binary64>) () ())) ())
#s(alt (/ (* y (sin x)) x) (taylor 0 y) (#s(alt #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) (patch #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) (taylor 0 y) (#s(alt #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) (patch #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) #<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 #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) (patch #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) #<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 #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) (patch #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) #<representation binary64>) () ())) ())
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#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 (/.f64 y x) (sin.f64 x))) (patch #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ (* y (sin x)) x) (taylor -inf x) (#s(alt (*.f64 (/.f64 y x) (sin.f64 x)) (patch (*.f64 (/.f64 y x) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (* y (sin x)) x) (taylor -inf x) (#s(alt (*.f64 (/.f64 y x) (sin.f64 x)) (patch (*.f64 (/.f64 y x) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (* y (sin x)) x) (taylor -inf x) (#s(alt (*.f64 (/.f64 y x) (sin.f64 x)) (patch (*.f64 (/.f64 y x) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (* y (sin x)) x) (taylor -inf x) (#s(alt (*.f64 (/.f64 y x) (sin.f64 x)) (patch (*.f64 (/.f64 y x) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<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>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
24.0ms
y
@inf
((/ (* (sinh y) (sin x)) x) (* (sinh y) (sin x)) (sinh y) (sin x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (+ (* (+ (* (* x x) 1/120) -1/6) (* x x)) 1) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (/ (sin x) x) (+ (* (+ (* (+ (* (* x x) -1/5040) 1/120) (* x x)) -1/6) (* x x)) 1) (/ (* (sin x) (sinh y)) x) (* (/ y x) (sin x)) (/ y x) (+ (* (* x x) 1/120) -1/6) (+ (* 1/120 (* y y)) 1/6))
4.0ms
x
@-inf
((/ (* (sinh y) (sin x)) x) (* (sinh y) (sin x)) (sinh y) (sin x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (+ (* (+ (* (* x x) 1/120) -1/6) (* x x)) 1) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (/ (sin x) x) (+ (* (+ (* (+ (* (* x x) -1/5040) 1/120) (* x x)) -1/6) (* x x)) 1) (/ (* (sin x) (sinh y)) x) (* (/ y x) (sin x)) (/ y x) (+ (* (* x x) 1/120) -1/6) (+ (* 1/120 (* y y)) 1/6))
3.0ms
x
@inf
((/ (* (sinh y) (sin x)) x) (* (sinh y) (sin x)) (sinh y) (sin x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (+ (* (+ (* (* x x) 1/120) -1/6) (* x x)) 1) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (/ (sin x) x) (+ (* (+ (* (+ (* (* x x) -1/5040) 1/120) (* x x)) -1/6) (* x x)) 1) (/ (* (sin x) (sinh y)) x) (* (/ y x) (sin x)) (/ y x) (+ (* (* x x) 1/120) -1/6) (+ (* 1/120 (* y y)) 1/6))
3.0ms
y
@-inf
((/ (* (sinh y) (sin x)) x) (* (sinh y) (sin x)) (sinh y) (sin x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (+ (* (+ (* (* x x) 1/120) -1/6) (* x x)) 1) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (/ (sin x) x) (+ (* (+ (* (+ (* (* x x) -1/5040) 1/120) (* x x)) -1/6) (* x x)) 1) (/ (* (sin x) (sinh y)) x) (* (/ y x) (sin x)) (/ y x) (+ (* (* x x) 1/120) -1/6) (+ (* 1/120 (* y y)) 1/6))
2.0ms
y
@0
((/ (* (sinh y) (sin x)) x) (* (sinh y) (sin x)) (sinh y) (sin x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (+ (* (+ (* (* x x) 1/120) -1/6) (* x x)) 1) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (/ (sin x) x) (+ (* (+ (* (+ (* (* x x) -1/5040) 1/120) (* x x)) -1/6) (* x x)) 1) (/ (* (sin x) (sinh y)) x) (* (/ y x) (sin x)) (/ y x) (+ (* (* x x) 1/120) -1/6) (+ (* 1/120 (* y y)) 1/6))

simplify196.0ms (2%)

Memory
5.3MiB live, 282.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01934471
16274279
221174053
354283898
478573898
083973716
Stop Event
iter limit
node limit
Counts
372 → 367
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)))
(* 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))))))))
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))))))))
(/ (* 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)))
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) 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)))
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) 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)))
(/ (sin x) x)
(+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))
(+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))
(+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) 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)))
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
1/6
(+ 1/6 (* 1/120 (pow y 2)))
(+ 1/6 (* 1/120 (pow y 2)))
(+ 1/6 (* 1/120 (pow y 2)))
(* 1/2 (/ (* (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)))))
(* 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 (- (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 (/ (* (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)
(* 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)
(* 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))
(* 1/120 (/ (* (pow y 4) (sin x)) x))
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2))))))
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4))))))
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4))))))
(* 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 x)
(/ y x)
(/ y x)
(/ y x)
(* 1/120 (pow y 2))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* 1/2 (/ (* (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)))))
(* 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 (- (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 (/ (* (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)
(* 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)
(* 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))
(* 1/120 (/ (* (pow y 4) (sin x)) x))
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2))))))
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4))))))
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4))))))
(* 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 x)
(/ y x)
(/ y x)
(/ y x)
(* 1/120 (pow y 2))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(+ (* -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 (* 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))))))))))
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))))
(* 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)))))))))
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))))))
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)))
(* 1/2 (- (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)))))))))
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))))))
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
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))
(* 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 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* 1/120 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
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
(+ 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)))
(* 1/2 (- (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)))))))))
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 x)
(/ y x)
(/ y x)
(/ y x)
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(- (* 1/120 (pow x 2)) 1/6)
(- (* 1/120 (pow x 2)) 1/6)
(* 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)))))
(* 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)))))
(sin x)
(sin x)
(sin x)
(sin 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)
(/ (sin x) x)
(/ (sin x) x)
(/ (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))
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(* 1/120 (pow x 4))
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* 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))
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(* -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 (/ (* (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 x)
(/ y x)
(/ y x)
(/ y x)
(* 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)))))
(* 1/2 (/ (* (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)))))
(* 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)))))
(sin x)
(sin x)
(sin x)
(sin 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)
(/ (sin x) x)
(/ (sin x) x)
(/ (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))
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(* 1/120 (pow x 4))
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* 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))
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(* -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 (/ (* (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 x)
(/ y x)
(/ y x)
(/ y x)
(* 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)))))
Outputs
(/ (* y (sin x)) x)
(*.f64 (/.f64 (sin.f64 x) x) y)
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #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 (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) (sin.f64 x)) y)
(* 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 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))) y)
(* y (sin x))
(*.f64 (sin.f64 x) y)
(* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))))
(*.f64 (sin.f64 x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) y))
(* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (sin.f64 x)) y)
(* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 (sin.f64 x) y))
y
(* y (+ 1 (* 1/6 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) y)
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y)
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y)
(/ (* y (sin x)) x)
(*.f64 (/.f64 (sin.f64 x) x) y)
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #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 (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) (sin.f64 x)) y)
(* 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 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))) y)
(/ (* y (sin x)) x)
(*.f64 (/.f64 (sin.f64 x) x) y)
(/ (* y (sin x)) x)
(*.f64 (/.f64 (sin.f64 x) x) y)
(/ (* y (sin x)) x)
(*.f64 (/.f64 (sin.f64 x) x) y)
(/ (* y (sin x)) x)
(*.f64 (/.f64 (sin.f64 x) x) y)
(/ (* y (sin x)) x)
(*.f64 (/.f64 (sin.f64 x) x) y)
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #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 (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) (sin.f64 x)) y)
(* 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 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))) y)
(/ (* y (sin x)) x)
(*.f64 (/.f64 (sin.f64 x) x) y)
(/ (* y (sin x)) x)
(*.f64 (/.f64 (sin.f64 x) x) y)
(/ (* y (sin x)) x)
(*.f64 (/.f64 (sin.f64 x) x) y)
(/ (* y (sin x)) x)
(*.f64 (/.f64 (sin.f64 x) x) y)
(/ (* y (sin x)) x)
(*.f64 (/.f64 (sin.f64 x) x) y)
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #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 (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) (sin.f64 x)) y)
(* 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 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))) y)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))
(+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) (sin.f64 x))
(+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) (sin.f64 x))
(/ (* y (sin x)) x)
(*.f64 (/.f64 (sin.f64 x) x) y)
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #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 (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) (sin.f64 x)) y)
(* 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 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))) y)
(/ (* y (sin x)) x)
(*.f64 (/.f64 (sin.f64 x) x) y)
(/ (* y (sin x)) x)
(*.f64 (/.f64 (sin.f64 x) x) y)
(/ (* y (sin x)) x)
(*.f64 (/.f64 (sin.f64 x) x) y)
(/ (* y (sin x)) x)
(*.f64 (/.f64 (sin.f64 x) x) y)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/120 (pow y 2)))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))
(+ 1/6 (* 1/120 (pow y 2)))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))
(+ 1/6 (* 1/120 (pow y 2)))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/ (* y (sin x)) x)
(*.f64 (/.f64 (sin.f64 x) x) y)
(/ (* y (sin x)) x)
(*.f64 (/.f64 (sin.f64 x) x) y)
(/ (* y (sin x)) x)
(*.f64 (/.f64 (sin.f64 x) x) y)
(/ (* y (sin x)) x)
(*.f64 (/.f64 (sin.f64 x) x) y)
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(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/ (* y (sin x)) x)
(*.f64 (/.f64 (sin.f64 x) x) y)
(/ (* y (sin x)) x)
(*.f64 (/.f64 (sin.f64 x) x) y)
(/ (* y (sin x)) x)
(*.f64 (/.f64 (sin.f64 x) x) y)
(/ (* y (sin x)) x)
(*.f64 (/.f64 (sin.f64 x) x) y)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/ (* y (sin x)) x)
(*.f64 (/.f64 (sin.f64 x) x) y)
(/ (* y (sin x)) x)
(*.f64 (/.f64 (sin.f64 x) x) y)
(/ (* y (sin x)) x)
(*.f64 (/.f64 (sin.f64 x) x) y)
(/ (* y (sin x)) x)
(*.f64 (/.f64 (sin.f64 x) x) y)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(* 1/120 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/120 binary64))
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))))
(* (pow x 4) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) (sin.f64 x))
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) (sin.f64 x))
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) (sin.f64 x))
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) (sin.f64 x))
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(* -1/5040 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5040 binary64))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(*.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 6 binary64))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/ (* y (sin x)) x)
(*.f64 (/.f64 (sin.f64 x) x) y)
(/ (* y (sin x)) x)
(*.f64 (/.f64 (sin.f64 x) x) y)
(/ (* y (sin x)) x)
(*.f64 (/.f64 (sin.f64 x) x) y)
(/ (* y (sin x)) x)
(*.f64 (/.f64 (sin.f64 x) x) y)
(/ y x)
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(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
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(* 1/120 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x) x)
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x) x)
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x) x)

rewrite165.0ms (1.7%)

Memory
8.5MiB live, 272.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038265
064265
1225265
21407265
08238265
Stop Event
iter limit
node limit
iter limit
Counts
20 → 384
Calls
Call 1
Inputs
(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x)
(*.f64 (sinh.f64 y) (sin.f64 x))
(sinh.f64 y)
(sin.f64 x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
(*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)
#s(approx (/ (sin x) x) #s(literal 1 binary64))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
(*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)
#s(approx (/ (sin x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
(*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (sin.f64 x)))
(*.f64 (/.f64 y x) (sin.f64 x))
(/.f64 y x)
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))
Outputs
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eval143.0ms (1.5%)

Memory
0.4MiB live, 246.0MiB allocated
Compiler

Compiled 17 865 to 2 101 computations (88.2% saved)

prune53.0ms (0.5%)

Memory
-16.6MiB live, 143.0MiB allocated
Pruning

24 alts after pruning (19 fresh and 5 done)

PrunedKeptTotal
New7626768
Fresh21315
Picked235
Done022
Total76624790
Accuracy
100.0%
Counts
790 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.3%
(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x)
38.0%
(/.f64 #s(approx (* (sinh y) (sin x)) (*.f64 (sin.f64 x) y)) x)
86.4%
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (*.f64 (sinh.f64 y) (sin.f64 x))))
37.9%
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 #s(approx (* (sinh y) (sin x)) (*.f64 (sin.f64 x) y))))
68.2%
(*.f64 #s(approx (/ -1 (/ x (sin x))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64))) (neg.f64 (sinh.f64 y)))
50.6%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
66.9%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (sin.f64 x)))
50.6%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 x))) y))
55.6%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
16.8%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
83.3%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y))
90.1%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
60.9%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) (*.f64 y y) #s(literal 1 binary64))) y))
60.8%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) y))
58.6%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
61.1%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
34.3%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) y))
31.5%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* (* x x) 1/120) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64))) y))
26.9%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
60.7%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
55.0%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
57.7%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
65.1%
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
34.5%
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y)))
Compiler

Compiled 631 to 469 computations (25.7% saved)

simplify140.0ms (1.4%)

Memory
30.4MiB live, 104.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (exp y) #s(literal 1 binary64))
cost-diff0
(-.f64 #s(approx (exp y) #s(literal 1 binary64)) (exp.f64 (neg.f64 y)))
cost-diff0
(*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
cost-diff0
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
cost-diff0
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))
cost-diff0
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) y))
cost-diff0
(*.f64 y (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))
cost-diff0
(fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y)
cost-diff0
#s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y))
cost-diff0
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y)))
cost-diff0
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) y)
cost-diff0
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) y))
cost-diff0
(*.f64 (sinh.f64 y) (sin.f64 x))
cost-diff0
(neg.f64 x)
cost-diff0
(/.f64 (neg.f64 x) (*.f64 (sinh.f64 y) (sin.f64 x)))
cost-diff832
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (*.f64 (sinh.f64 y) (sin.f64 x))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053486
086486
1169485
2344485
3897481
42324481
56066481
08176474
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (*.f64 (sinh.f64 y) (sin.f64 x))))
#s(literal -1 binary64)
(/.f64 (neg.f64 x) (*.f64 (sinh.f64 y) (sin.f64 x)))
(neg.f64 x)
x
(*.f64 (sinh.f64 y) (sin.f64 x))
(sinh.f64 y)
y
(sin.f64 x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) y))
(*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) y)
#s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal -1/6 binary64)
#s(literal 1 binary64)
y
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y))
(fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y)
(*.f64 y (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))
y
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
(*.f64 x x)
x
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) y))
(*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) y)
(*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(*.f64 x x)
x
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
#s(literal 1 binary64)
(fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))
#s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y)))
(*.f64 #s(literal 1/120 binary64) (*.f64 y y))
(*.f64 y y)
y
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
(*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
(-.f64 #s(approx (exp y) #s(literal 1 binary64)) (exp.f64 (neg.f64 y)))
#s(approx (exp y) #s(literal 1 binary64))
#s(literal 1 binary64)
(exp.f64 (neg.f64 y))
(neg.f64 y)
y
#s(literal 1/2 binary64)
Outputs
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (*.f64 (sinh.f64 y) (sin.f64 x))))
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
#s(literal -1 binary64)
(/.f64 (neg.f64 x) (*.f64 (sinh.f64 y) (sin.f64 x)))
(/.f64 (neg.f64 x) (*.f64 (sin.f64 x) (sinh.f64 y)))
(neg.f64 x)
x
(*.f64 (sinh.f64 y) (sin.f64 x))
(*.f64 (sin.f64 x) (sinh.f64 y))
(sinh.f64 y)
y
(sin.f64 x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y))
(*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) y)
(*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)
#s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))
#s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal -1/6 binary64)
#s(literal 1 binary64)
y
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) y) (*.f64 x x) y)))
#s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y))
#s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) y) (*.f64 x x) y))
(fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y)
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) y) (*.f64 x x) y)
(*.f64 y (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) y)
y
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
(*.f64 x x)
x
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) y) #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) y)
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) y) #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64)) #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(*.f64 x x)
x
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
#s(literal 1 binary64)
(fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))
#s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y)))
#s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))
(*.f64 #s(literal 1/120 binary64) (*.f64 y y))
(*.f64 (*.f64 y y) #s(literal 1/120 binary64))
(*.f64 y y)
y
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp y) #s(literal 1 binary64)) (exp.f64 (neg.f64 y)))))
(*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp y) #s(literal 1 binary64)) (exp.f64 (neg.f64 y))))
(-.f64 #s(approx (exp y) #s(literal 1 binary64)) (exp.f64 (neg.f64 y)))
#s(approx (exp y) #s(literal 1 binary64))
#s(literal 1 binary64)
(exp.f64 (neg.f64 y))
(neg.f64 y)
y
#s(literal 1/2 binary64)

localize366.0ms (3.7%)

Memory
-22.4MiB live, 464.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(exp.f64 (neg.f64 y))
accuracy0.5859825423118318
#s(approx (exp y) #s(literal 1 binary64))
accuracy15.307766471280456
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
accuracy28.536982322226173
(-.f64 #s(approx (exp y) #s(literal 1 binary64)) (exp.f64 (neg.f64 y)))
accuracy0.08984375
(*.f64 #s(literal 1/120 binary64) (*.f64 y y))
accuracy0.11124721284439373
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) y))
accuracy16.002649312588495
#s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
accuracy29.937288112699058
#s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y)))
accuracy0.0390625
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
accuracy0.38617747543934333
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y)))
accuracy1.7802736880632521
(*.f64 y (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))
accuracy15.956904367974468
#s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y))
accuracy0.0234375
(*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) y)
accuracy0.046875
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))
accuracy0.38617747543934333
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) y))
accuracy15.962194146399296
#s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))
accuracy0.00390625
(sin.f64 x)
accuracy0.07421875
(*.f64 (sinh.f64 y) (sin.f64 x))
accuracy0.6782954469264569
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (*.f64 (sinh.f64 y) (sin.f64 x))))
accuracy8.135169487654982
(/.f64 (neg.f64 x) (*.f64 (sinh.f64 y) (sin.f64 x)))
Samples
217.0ms131×5exit
83.0ms97×1valid
12.0ms28×0valid
Compiler

Compiled 673 to 91 computations (86.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 235.0ms
adjust: 79.0ms (33.6% of total)
ival-mult: 57.0ms (24.2% of total)
ival-exp: 33.0ms (14% of total)
const: 23.0ms (9.8% of total)
ival-add: 20.0ms (8.5% of total)
ival-div: 7.0ms (3% of total)
ival-sin: 6.0ms (2.6% of total)
ival-sub: 5.0ms (2.1% of total)
ival-neg: 3.0ms (1.3% of total)
ival-sinh: 2.0ms (0.9% of total)
exact: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series54.0ms (0.6%)

Memory
6.0MiB live, 84.6MiB allocated
Counts
25 → 444
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (*.f64 (sinh.f64 y) (sin.f64 x)))) (patch (/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (*.f64 (sinh.f64 y) (sin.f64 x)))) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 x) (*.f64 (sinh.f64 y) (sin.f64 x))) (patch (/.f64 (neg.f64 x) (*.f64 (sinh.f64 y) (sin.f64 x))) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt (*.f64 (sinh.f64 y) (sin.f64 x)) (patch (*.f64 (sinh.f64 y) (sin.f64 x)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) y)) (patch #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) y)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) y) (patch (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) y) #<representation binary64>) () ())
#s(alt #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) (patch #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y))) (patch #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y))) #<representation binary64>) () ())
#s(alt #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y)) (patch #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y) (patch (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y) #<representation binary64>) () ())
#s(alt (*.f64 y (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) (patch (*.f64 y (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) y)) (patch #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) y)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) (patch (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) (patch #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) (patch (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (exp y) #s(literal 1 binary64)) (exp.f64 (neg.f64 y))) (patch (-.f64 #s(approx (exp y) #s(literal 1 binary64)) (exp.f64 (neg.f64 y))) #<representation binary64>) () ())
#s(alt #s(approx (exp y) #s(literal 1 binary64)) (patch #s(approx (exp y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (patch (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (patch #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) (patch (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #<representation binary64>) () ())
#s(alt (exp.f64 (neg.f64 y)) (patch (exp.f64 (neg.f64 y)) #<representation binary64>) () ())
Outputs
#s(alt (/ (* y (sin x)) x) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (*.f64 (sinh.f64 y) (sin.f64 x)))) (patch (/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (*.f64 (sinh.f64 y) (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 #s(literal -1 binary64) (/.f64 (neg.f64 x) (*.f64 (sinh.f64 y) (sin.f64 x)))) (patch (/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (*.f64 (sinh.f64 y) (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 #s(literal -1 binary64) (/.f64 (neg.f64 x) (*.f64 (sinh.f64 y) (sin.f64 x)))) (patch (/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (*.f64 (sinh.f64 y) (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 #s(literal -1 binary64) (/.f64 (neg.f64 x) (*.f64 (sinh.f64 y) (sin.f64 x)))) (patch (/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (*.f64 (sinh.f64 y) (sin.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x (* y (sin x)))) (taylor 0 y) (#s(alt (/.f64 (neg.f64 x) (*.f64 (sinh.f64 y) (sin.f64 x))) (patch (/.f64 (neg.f64 x) (*.f64 (sinh.f64 y) (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ x (sin x))) (* 1/6 (/ (* x (pow y 2)) (sin x)))) y) (taylor 0 y) (#s(alt (/.f64 (neg.f64 x) (*.f64 (sinh.f64 y) (sin.f64 x))) (patch (/.f64 (neg.f64 x) (*.f64 (sinh.f64 y) (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ x (sin x))) (* (pow y 2) (+ (* 1/6 (/ x (sin x))) (* (pow y 2) (+ (* -1/36 (/ x (sin x))) (* 1/120 (/ x (sin x)))))))) y) (taylor 0 y) (#s(alt (/.f64 (neg.f64 x) (*.f64 (sinh.f64 y) (sin.f64 x))) (patch (/.f64 (neg.f64 x) (*.f64 (sinh.f64 y) (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ x (sin x))) (* (pow y 2) (+ (* 1/6 (/ x (sin x))) (* (pow y 2) (+ (* -1/36 (/ x (sin x))) (+ (* 1/120 (/ x (sin x))) (* (pow y 2) (+ (* -1/6 (+ (* -1/36 (/ x (sin x))) (* 1/120 (/ x (sin x))))) (+ (* -1/720 (/ x (sin x))) (* 1/5040 (/ x (sin x)))))))))))) y) (taylor 0 y) (#s(alt (/.f64 (neg.f64 x) (*.f64 (sinh.f64 y) (sin.f64 x))) (patch (/.f64 (neg.f64 x) (*.f64 (sinh.f64 y) (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* y (sin x)) (taylor 0 y) (#s(alt (*.f64 (sinh.f64 y) (sin.f64 x)) (patch (*.f64 (sinh.f64 y) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))) (taylor 0 y) (#s(alt (*.f64 (sinh.f64 y) (sin.f64 x)) (patch (*.f64 (sinh.f64 y) (sin.f64 x)) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) #<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 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) (patch #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) #<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 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) (patch #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) #<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 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) (patch #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) #<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 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) (patch #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) #<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 (* -1/5040 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (patch (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (patch (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (patch (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (patch (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
10.0ms
x
@inf
((/ -1 (/ (neg x) (* (sinh y) (sin x)))) (/ (neg x) (* (sinh y) (sin x))) (neg x) (* (sinh y) (sin x)) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (+ (* (* x x) -1/6) 1) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (+ (* (* y (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6)) (* x x)) y) (* y (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6)) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (/ (sin x) x) (+ (* (+ (* (+ (* (* x x) -1/5040) 1/120) (* x x)) -1/6) (* x x)) 1) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (exp y) (sin x) (+ (* -1/5040 (* x x)) 1/120) (+ (* 1/120 (* y y)) 1/6) (* 1/120 (* y y)) (exp (neg y)))
9.0ms
y
@-inf
((/ -1 (/ (neg x) (* (sinh y) (sin x)))) (/ (neg x) (* (sinh y) (sin x))) (neg x) (* (sinh y) (sin x)) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (+ (* (* x x) -1/6) 1) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (+ (* (* y (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6)) (* x x)) y) (* y (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6)) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (/ (sin x) x) (+ (* (+ (* (+ (* (* x x) -1/5040) 1/120) (* x x)) -1/6) (* x x)) 1) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (exp y) (sin x) (+ (* -1/5040 (* x x)) 1/120) (+ (* 1/120 (* y y)) 1/6) (* 1/120 (* y y)) (exp (neg y)))
5.0ms
y
@inf
((/ -1 (/ (neg x) (* (sinh y) (sin x)))) (/ (neg x) (* (sinh y) (sin x))) (neg x) (* (sinh y) (sin x)) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (+ (* (* x x) -1/6) 1) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (+ (* (* y (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6)) (* x x)) y) (* y (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6)) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (/ (sin x) x) (+ (* (+ (* (+ (* (* x x) -1/5040) 1/120) (* x x)) -1/6) (* x x)) 1) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (exp y) (sin x) (+ (* -1/5040 (* x x)) 1/120) (+ (* 1/120 (* y y)) 1/6) (* 1/120 (* y y)) (exp (neg y)))
4.0ms
x
@-inf
((/ -1 (/ (neg x) (* (sinh y) (sin x)))) (/ (neg x) (* (sinh y) (sin x))) (neg x) (* (sinh y) (sin x)) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (+ (* (* x x) -1/6) 1) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (+ (* (* y (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6)) (* x x)) y) (* y (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6)) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (/ (sin x) x) (+ (* (+ (* (+ (* (* x x) -1/5040) 1/120) (* x x)) -1/6) (* x x)) 1) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (exp y) (sin x) (+ (* -1/5040 (* x x)) 1/120) (+ (* 1/120 (* y y)) 1/6) (* 1/120 (* y y)) (exp (neg y)))
4.0ms
y
@0
((/ -1 (/ (neg x) (* (sinh y) (sin x)))) (/ (neg x) (* (sinh y) (sin x))) (neg x) (* (sinh y) (sin x)) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (+ (* (* x x) -1/6) 1) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (+ (* (* y (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6)) (* x x)) y) (* y (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6)) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (/ (sin x) x) (+ (* (+ (* (+ (* (* x x) -1/5040) 1/120) (* x x)) -1/6) (* x x)) 1) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (exp y) (sin x) (+ (* -1/5040 (* x x)) 1/120) (+ (* 1/120 (* y y)) 1/6) (* 1/120 (* y y)) (exp (neg y)))

simplify194.0ms (2%)

Memory
19.4MiB live, 239.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03185533
110315339
233075107
082524825
Stop Event
iter limit
node limit
Counts
444 → 439
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 (/ x (* y (sin x))))
(/ (+ (* -1 (/ x (sin x))) (* 1/6 (/ (* x (pow y 2)) (sin x)))) y)
(/ (+ (* -1 (/ x (sin x))) (* (pow y 2) (+ (* 1/6 (/ x (sin x))) (* (pow y 2) (+ (* -1/36 (/ x (sin x))) (* 1/120 (/ x (sin x)))))))) y)
(/ (+ (* -1 (/ x (sin x))) (* (pow y 2) (+ (* 1/6 (/ x (sin x))) (* (pow y 2) (+ (* -1/36 (/ x (sin x))) (+ (* 1/120 (/ x (sin x))) (* (pow y 2) (+ (* -1/6 (+ (* -1/36 (/ x (sin x))) (* 1/120 (/ x (sin x))))) (+ (* -1/720 (/ x (sin x))) (* 1/5040 (/ x (sin x)))))))))))) 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))))))))
(/ (* 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)))
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) 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)))
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(* y (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(* y (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(* y (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(* y (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(* y (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* y (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* y (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* y (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(/ (* 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)))
(/ (sin x) x)
(+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))
(+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))
(+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) 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)))
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))))))))
(* 2 y)
(* y (+ 2 (* 1/3 (pow y 2))))
(* y (+ 2 (* (pow y 2) (+ 1/3 (* 1/60 (pow y 2))))))
(* y (+ 2 (* (pow y 2) (+ 1/3 (* (pow y 2) (+ 1/60 (* 1/2520 (pow y 2))))))))
1
(+ 1 y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
1/6
(+ 1/6 (* 1/120 (pow y 2)))
(+ 1/6 (* 1/120 (pow y 2)))
(+ 1/6 (* 1/120 (pow y 2)))
(* 1/120 (pow y 2))
(* 1/120 (pow y 2))
(* 1/120 (pow y 2))
(* 1/120 (pow y 2))
1
(+ 1 (* -1 y))
(+ 1 (* y (- (* 1/2 y) 1)))
(+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))
(* 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))
(* -2 (/ x (* (sin x) (- (exp y) (/ 1 (exp y))))))
(* -2 (/ x (* (sin x) (- (exp y) (/ 1 (exp y))))))
(* -2 (/ x (* (sin x) (- (exp y) (/ 1 (exp y))))))
(* -2 (/ x (* (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))
(* 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)
(* 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 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(* y (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(* y (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(* y (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(* y (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* y (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* y (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* y (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* 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))
(* 1/120 (/ (* (pow y 4) (sin x)) x))
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2))))))
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4))))))
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4))))))
(* 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) (exp (neg y))))
(* 1/2 (- (exp y) (exp (neg y))))
(* 1/2 (- (exp y) (exp (neg y))))
(* 1/2 (- (exp y) (exp (neg y))))
(- (exp y) (exp (neg y)))
(- (exp y) (exp (neg y)))
(- (exp y) (exp (neg y)))
(- (exp y) (exp (neg y)))
(exp y)
(exp y)
(exp y)
(exp y)
(* 1/120 (pow y 2))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* 1/120 (pow y 2))
(* 1/120 (pow y 2))
(* 1/120 (pow y 2))
(* 1/120 (pow y 2))
(exp (neg y))
(exp (neg y))
(exp (neg y))
(exp (neg 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))
(* -2 (/ x (* (sin x) (- (exp y) (/ 1 (exp y))))))
(* -2 (/ x (* (sin x) (- (exp y) (/ 1 (exp y))))))
(* -2 (/ x (* (sin x) (- (exp y) (/ 1 (exp y))))))
(* -2 (/ x (* (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))
(* 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)
(* 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)
(* -1 (* y (- (* -1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) 1)))
(* -1 (* y (- (* -1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) 1)))
(* -1 (* y (- (* -1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) 1)))
(* -1 (* y (- (* -1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) 1)))
(* y (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* y (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* y (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* y (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* 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))
(* 1/120 (/ (* (pow y 4) (sin x)) x))
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2))))))
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4))))))
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4))))))
(* 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) (exp (* -1 y))))
(* 1/2 (- (exp y) (exp (* -1 y))))
(* 1/2 (- (exp y) (exp (* -1 y))))
(* 1/2 (- (exp y) (exp (* -1 y))))
(- (exp y) (exp (* -1 y)))
(- (exp y) (exp (* -1 y)))
(- (exp y) (exp (* -1 y)))
(- (exp y) (exp (* -1 y)))
(exp y)
(exp y)
(exp y)
(exp y)
(* 1/120 (pow y 2))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* 1/120 (pow y 2))
(* 1/120 (pow y 2))
(* 1/120 (pow y 2))
(* 1/120 (pow y 2))
(exp (* -1 y))
(exp (* -1 y))
(exp (* -1 y))
(exp (* -1 y))
(* 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)))))))))
(/ -2 (- (exp y) (/ 1 (exp y))))
(- (* -1/3 (/ (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 2 (/ 1 (- (exp y) (/ 1 (exp y))))))
(- (* (pow x 2) (- (* -7/180 (/ (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/3 (/ 1 (- (exp y) (/ 1 (exp y))))))) (* 2 (/ 1 (- (exp y) (/ 1 (exp y))))))
(- (* (pow x 2) (- (* (pow x 2) (- (* -31/7560 (/ (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 7/180 (/ 1 (- (exp y) (/ 1 (exp y))))))) (* 1/3 (/ 1 (- (exp y) (/ 1 (exp y))))))) (* 2 (/ 1 (- (exp y) (/ 1 (exp y))))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 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 (- (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)))))))))
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))))))
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
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* -1/6 (pow x 2)))
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(+ (* -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)))))))))
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
(+ 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))))))
(* -1/6 y)
(+ (* -1/6 y) (* 1/120 (* (pow x 2) y)))
(+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y))))
(+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y))))
(* 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 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* 1/120 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
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
(+ 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)))
(* 1/2 (- (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)))))))))
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))))
1/120
(+ 1/120 (* -1/5040 (pow x 2)))
(+ 1/120 (* -1/5040 (pow x 2)))
(+ 1/120 (* -1/5040 (pow x 2)))
(* 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))
(* -2 (/ x (* (sin x) (- (exp y) (/ 1 (exp y))))))
(* -2 (/ x (* (sin x) (- (exp y) (/ 1 (exp y))))))
(* -2 (/ x (* (sin x) (- (exp y) (/ 1 (exp y))))))
(* -2 (/ x (* (sin x) (- (exp y) (/ 1 (exp y))))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 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)))) 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)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(* -1/6 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* 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)
(* -1/5040 (* (pow x 6) y))
(* (pow x 6) (+ (* -1/5040 y) (* 1/120 (/ y (pow x 2)))))
(* (pow x 6) (+ (* -1/6 (/ y (pow x 4))) (+ (* -1/5040 y) (* 1/120 (/ y (pow x 2))))))
(* (pow x 6) (+ (* -1/6 (/ y (pow x 4))) (+ (* -1/5040 y) (+ (* 1/120 (/ y (pow x 2))) (/ y (pow x 6))))))
(* -1/5040 (* (pow x 4) y))
(* (pow x 4) (+ (* -1/5040 y) (* 1/120 (/ y (pow x 2)))))
(* (pow x 4) (+ (* -1/6 (/ y (pow x 4))) (+ (* -1/5040 y) (* 1/120 (/ y (pow x 2))))))
(* (pow x 4) (+ (* -1/6 (/ y (pow x 4))) (+ (* -1/5040 y) (* 1/120 (/ y (pow x 2))))))
(* 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))
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(* -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 (/ (* (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))
(sin x)
(sin x)
(sin x)
(sin x)
(* -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))
(* 1/2 (/ (* (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))
(* -2 (/ x (* (sin x) (- (exp y) (/ 1 (exp y))))))
(* -2 (/ x (* (sin x) (- (exp y) (/ 1 (exp y))))))
(* -2 (/ x (* (sin x) (- (exp y) (/ 1 (exp y))))))
(* -2 (/ x (* (sin x) (- (exp y) (/ 1 (exp y))))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 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)))) 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)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(* -1/6 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* 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)
(* -1/5040 (* (pow x 6) y))
(* (pow x 6) (+ (* -1/5040 y) (* 1/120 (/ y (pow x 2)))))
(* (pow x 6) (+ (* -1/6 (/ y (pow x 4))) (+ (* -1/5040 y) (* 1/120 (/ y (pow x 2))))))
(* (pow x 6) (+ (* -1/6 (/ y (pow x 4))) (+ (* -1/5040 y) (+ (* 1/120 (/ y (pow x 2))) (/ y (pow x 6))))))
(* -1/5040 (* (pow x 4) y))
(* (pow x 4) (+ (* -1/5040 y) (* 1/120 (/ y (pow x 2)))))
(* (pow x 4) (+ (* -1/6 (/ y (pow x 4))) (+ (* -1/5040 y) (* 1/120 (/ y (pow x 2))))))
(* (pow x 4) (+ (* -1/6 (/ y (pow x 4))) (+ (* -1/5040 y) (* 1/120 (/ y (pow x 2))))))
(* 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))
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(* -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 (/ (* (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))
(sin x)
(sin x)
(sin x)
(sin x)
(* -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))
Outputs
(/ (* y (sin x)) x)
(*.f64 (/.f64 (sin.f64 x) x) y)
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y)
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 (/.f64 (sin.f64 x) x) y))
(* 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 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))) y)
(* -1 (/ x (* y (sin x))))
(/.f64 (/.f64 (neg.f64 x) y) (sin.f64 x))
(/ (+ (* -1 (/ x (sin x))) (* 1/6 (/ (* x (pow y 2)) (sin x)))) y)
(/.f64 (*.f64 (/.f64 x (sin.f64 x)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)
(/ (+ (* -1 (/ x (sin x))) (* (pow y 2) (+ (* 1/6 (/ x (sin x))) (* (pow y 2) (+ (* -1/36 (/ x (sin x))) (* 1/120 (/ x (sin x)))))))) y)
(/.f64 (fma.f64 (*.f64 (/.f64 x (sin.f64 x)) (fma.f64 #s(literal -7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (/.f64 (neg.f64 x) (sin.f64 x))) y)
(/ (+ (* -1 (/ x (sin x))) (* (pow y 2) (+ (* 1/6 (/ x (sin x))) (* (pow y 2) (+ (* -1/36 (/ x (sin x))) (+ (* 1/120 (/ x (sin x))) (* (pow y 2) (+ (* -1/6 (+ (* -1/36 (/ x (sin x))) (* 1/120 (/ x (sin x))))) (+ (* -1/720 (/ x (sin x))) (* 1/5040 (/ x (sin x)))))))))))) y)
(/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 (/.f64 x (sin.f64 x)) #s(literal 31/15120 binary64)) y) y (*.f64 #s(literal -7/360 binary64) (/.f64 x (sin.f64 x)))) (*.f64 (/.f64 x (sin.f64 x)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)))) y)
(* y (sin x))
(*.f64 (sin.f64 x) y)
(* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))))
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rewrite217.0ms (2.2%)

Memory
5.3MiB live, 293.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053361
086361
1322358
21823358
08511355
Stop Event
iter limit
node limit
iter limit
Counts
25 → 497
Calls
Call 1
Inputs
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (*.f64 (sinh.f64 y) (sin.f64 x))))
(/.f64 (neg.f64 x) (*.f64 (sinh.f64 y) (sin.f64 x)))
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(*.f64 (sinh.f64 y) (sin.f64 x))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) y))
(*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) y)
#s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y))
(fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y)
(*.f64 y (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) y))
(*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
(*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
(-.f64 #s(approx (exp y) #s(literal 1 binary64)) (exp.f64 (neg.f64 y)))
#s(approx (exp y) #s(literal 1 binary64))
(sin.f64 x)
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
#s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y)))
(*.f64 #s(literal 1/120 binary64) (*.f64 y y))
(exp.f64 (neg.f64 y))
Outputs
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eval181.0ms (1.8%)

Memory
-25.0MiB live, 248.1MiB allocated
Compiler

Compiled 22 335 to 2 743 computations (87.7% saved)

prune60.0ms (0.6%)

Memory
19.4MiB live, 96.1MiB allocated
Pruning

26 alts after pruning (19 fresh and 7 done)

PrunedKeptTotal
New9297936
Fresh21214
Picked325
Done055
Total93426960
Accuracy
100.0%
Counts
960 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.3%
(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x)
38.0%
(/.f64 #s(approx (* (sinh y) (sin x)) (*.f64 (sin.f64 x) y)) x)
86.4%
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (*.f64 (sinh.f64 y) (sin.f64 x))))
37.9%
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 #s(approx (* (sinh y) (sin x)) (*.f64 (sin.f64 x) y))))
68.2%
(*.f64 #s(approx (/ -1 (/ x (sin x))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64))) (neg.f64 (sinh.f64 y)))
50.6%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
66.9%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (sin.f64 x)))
50.6%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 x))) y))
20.9%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
17.6%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
16.1%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
83.3%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y))
90.1%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
60.9%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) (*.f64 y y) #s(literal 1 binary64))) y))
60.8%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) y))
58.6%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
60.9%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) y))
34.3%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64))) y))
31.5%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* (* x x) 1/120) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64))) y))
11.1%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* (* x x) -1/6) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) y))
26.9%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
60.7%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
55.0%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
57.7%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
65.1%
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
34.5%
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y)))
Compiler

Compiled 931 to 457 computations (50.9% saved)

regimes50.0ms (0.5%)

Memory
-6.0MiB live, 78.8MiB allocated
Counts
41 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* (* x x) -1/6) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* (* x x) 1/120) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (sin.f64 x)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x)
(/.f64 #s(approx (* (sinh y) (sin x)) (*.f64 (sin.f64 x) y)) x)
(*.f64 #s(approx (/ -1 (/ x (sin x))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64))) (neg.f64 (sinh.f64 y)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 #s(approx (* (sinh y) (sin x)) (*.f64 (sin.f64 x) y))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 x))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x)
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (sin.f64 x))) (neg.f64 (sinh.f64 y)))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (*.f64 (sinh.f64 y) (sin.f64 x))))
Outputs
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (sin.f64 x))) (neg.f64 (sinh.f64 y)))
Calls

4 calls:

13.0ms
x
12.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
12.0ms
y
11.0ms
(sinh.f64 y)
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 11 to 13 computations (-18.2% saved)

regimes75.0ms (0.8%)

Memory
-9.9MiB live, 65.9MiB allocated
Counts
39 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* (* x x) -1/6) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* (* x x) 1/120) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (sin.f64 x)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x)
(/.f64 #s(approx (* (sinh y) (sin x)) (*.f64 (sin.f64 x) y)) x)
(*.f64 #s(approx (/ -1 (/ x (sin x))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64))) (neg.f64 (sinh.f64 y)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 #s(approx (* (sinh y) (sin x)) (*.f64 (sin.f64 x) y))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 x))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x)
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x))))
Outputs
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
Calls

4 calls:

26.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
11.0ms
y
11.0ms
x
10.0ms
(sinh.f64 y)
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 11 to 13 computations (-18.2% saved)

regimes54.0ms (0.6%)

Memory
-14.5MiB live, 77.4MiB allocated
Counts
35 → 3
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* (* x x) -1/6) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* (* x x) 1/120) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (sin.f64 x)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x)
(/.f64 #s(approx (* (sinh y) (sin x)) (*.f64 (sin.f64 x) y)) x)
(*.f64 #s(approx (/ -1 (/ x (sin x))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64))) (neg.f64 (sinh.f64 y)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 #s(approx (* (sinh y) (sin x)) (*.f64 (sin.f64 x) y))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 x))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
Outputs
(*.f64 #s(approx (/ -1 (/ x (sin x))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64))) (neg.f64 (sinh.f64 y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
Calls

4 calls:

18.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
10.0ms
y
10.0ms
x
10.0ms
(sinh.f64 y)
Results
AccuracySegmentsBranch
97.2%2x
99.0%3y
99.8%3(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
92.7%2(sinh.f64 y)
Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes10.0ms (0.1%)

Memory
20.8MiB live, 20.8MiB allocated
Counts
32 → 3
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* (* x x) -1/6) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* (* x x) 1/120) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (sin.f64 x)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x)
(/.f64 #s(approx (* (sinh y) (sin x)) (*.f64 (sin.f64 x) y)) x)
(*.f64 #s(approx (/ -1 (/ x (sin x))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64))) (neg.f64 (sinh.f64 y)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 #s(approx (* (sinh y) (sin x)) (*.f64 (sin.f64 x) y))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 x))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y))
Outputs
(*.f64 #s(approx (/ -1 (/ x (sin x))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64))) (neg.f64 (sinh.f64 y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
Calls

1 calls:

8.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
99.8%3(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes12.0ms (0.1%)

Memory
-13.6MiB live, 23.1MiB allocated
Counts
31 → 3
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* (* x x) -1/6) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* (* x x) 1/120) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (sin.f64 x)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x)
(/.f64 #s(approx (* (sinh y) (sin x)) (*.f64 (sin.f64 x) y)) x)
(*.f64 #s(approx (/ -1 (/ x (sin x))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64))) (neg.f64 (sinh.f64 y)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 #s(approx (* (sinh y) (sin x)) (*.f64 (sin.f64 x) y))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 x))) y))
Outputs
(*.f64 #s(approx (/ -1 (/ x (sin x))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64))) (neg.f64 (sinh.f64 y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
Calls

1 calls:

8.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
99.6%3(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes9.0ms (0.1%)

Memory
19.8MiB live, 19.8MiB allocated
Counts
28 → 3
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* (* x x) -1/6) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* (* x x) 1/120) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (sin.f64 x)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x)
(/.f64 #s(approx (* (sinh y) (sin x)) (*.f64 (sin.f64 x) y)) x)
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
Calls

1 calls:

7.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
99.2%3(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes9.0ms (0.1%)

Memory
-17.5MiB live, 21.1MiB allocated
Counts
25 → 3
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* (* x x) -1/6) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* (* x x) 1/120) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (sin.f64 x)))
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (sin.f64 x)))
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
Calls

1 calls:

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

Compiled 7 to 6 computations (14.3% saved)

regimes32.0ms (0.3%)

Memory
23.4MiB live, 73.0MiB allocated
Counts
24 → 3
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* (* x x) -1/6) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* (* x x) 1/120) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
Calls

4 calls:

10.0ms
y
7.0ms
x
7.0ms
(sinh.f64 y)
6.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
65.1%1(sinh.f64 y)
80.4%3x
67.9%2y
75.7%2(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes11.0ms (0.1%)

Memory
-15.6MiB live, 21.9MiB allocated
Counts
22 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* (* x x) -1/6) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* (* x x) 1/120) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
Calls

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
77.4%2x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes16.0ms (0.2%)

Memory
9.9MiB live, 46.9MiB allocated
Counts
21 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* (* x x) -1/6) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* (* x x) 1/120) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) (*.f64 y y) #s(literal 1 binary64))) y))
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
Calls

2 calls:

9.0ms
x
6.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
71.3%2(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
73.7%2x
Compiler

Compiled 8 to 8 computations (0% saved)

regimes11.0ms (0.1%)

Memory
-9.2MiB live, 30.3MiB allocated
Counts
15 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* (* x x) -1/6) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* (* x x) 1/120) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) y))
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
Calls

2 calls:

6.0ms
x
4.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
68.3%2(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
70.7%2x
Compiler

Compiled 8 to 8 computations (0% saved)

regimes4.0ms (0%)

Memory
11.5MiB live, 11.5MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* (* x x) -1/6) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* (* x x) 1/120) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64))) y))
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
68.3%2x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes14.0ms (0.1%)

Memory
-19.4MiB live, 26.4MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* (* x x) -1/6) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
Calls

4 calls:

4.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
3.0ms
y
3.0ms
x
3.0ms
(sinh.f64 y)
Results
AccuracySegmentsBranch
34.3%1(sinh.f64 y)
34.3%1y
34.3%1(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
44.2%2x
Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes3.0ms (0%)

Memory
6.1MiB live, 6.1MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* (* x x) -1/6) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) y))
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
39.3%2x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes2.0ms (0%)

Memory
4.4MiB live, 4.4MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
39.2%2x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0.1%)

Memory
9.7MiB live, 9.7MiB 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 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
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
26.9%1(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
26.9%1(sinh.f64 y)
26.9%1y
26.9%1x
Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.88036682171244e-56
2.7548821816534682e-45
0.0ms
-inf
-3.603861886956561e-57
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.88036682171244e-56
2.7548821816534682e-45
0.0ms
-inf
-3.603861886956561e-57
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.88036682171244e-56
2.7548821816534682e-45
0.0ms
-inf
-3.603861886956561e-57
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.88036682171244e-56
2.7548821816534682e-45
0.0ms
-inf
-3.603861886956561e-57
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.88036682171244e-56
2.7548821816534682e-45
0.0ms
-inf
-3.603861886956561e-57
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch61.0ms (0.6%)

Memory
-8.9MiB live, 30.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
1.0971177434996281e+209
9.971342990465595e+209
47.0ms
9.385905440293198e+35
6.490059910485521e+38
Samples
50.0ms224×0valid
Compiler

Compiled 230 to 269 computations (-17% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-sin: 40.0ms (89.6% of total)
ival-mult: 2.0ms (4.5% of total)
ival-div: 1.0ms (2.2% of total)
ival-sinh: 1.0ms (2.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch11.0ms (0.1%)

Memory
3.0MiB live, 3.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
10.0ms
6.490059910485521e+38
2.3031454883637203e+39
Samples
7.0ms80×0valid
Compiler

Compiled 95 to 101 computations (-6.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-sin: 3.0ms (62.7% of total)
ival-div: 1.0ms (20.9% of total)
ival-mult: 1.0ms (20.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-sinh: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
6.490059910485521e+38
2.3031454883637203e+39
Compiler

Compiled 190 to 156 computations (17.9% saved)

bsearch1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
6.490059910485521e+38
2.3031454883637203e+39
Compiler

Compiled 155 to 136 computations (12.3% saved)

bsearch1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
6.490059910485521e+38
2.3031454883637203e+39
Compiler

Compiled 140 to 136 computations (2.9% saved)

bsearch56.0ms (0.6%)

Memory
-30.5MiB live, 7.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
55.0ms
2.5203500105461683e-6
5.638427697749557
Samples
49.0ms144×0valid
Compiler

Compiled 226 to 218 computations (3.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-sin: 4.0ms (56.6% of total)
ival-div: 1.0ms (14.1% of total)
ival-mult: 1.0ms (14.1% of total)
ival-sinh: 1.0ms (14.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch9.0ms (0.1%)

Memory
2.5MiB live, 2.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
8.0ms
6.490059910485521e+38
2.3031454883637203e+39
Samples
5.0ms64×0valid
Compiler

Compiled 85 to 101 computations (-18.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-sin: 3.0ms (79.2% of total)
ival-div: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-sinh: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
6.490059910485521e+38
2.3031454883637203e+39
Compiler

Compiled 75 to 96 computations (-28% saved)

simplify32.0ms (0.3%)

Memory
24.3MiB live, 24.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0146848
1189848
2216848
3239848
4257848
5266848
6272848
7274848
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (sin.f64 x))) (neg.f64 (sinh.f64 y)))
(*.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 #s(approx (/ -1 (/ x (sin x))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64))) (neg.f64 (sinh.f64 y))) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 5521397077432451/55213970774324510299478046898216203619608871777363092441300193790394368 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) (*.f64 #s(approx (/ -1 (/ x (sin x))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64))) (neg.f64 (sinh.f64 y))) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 5521397077432451/55213970774324510299478046898216203619608871777363092441300193790394368 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y)) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) (*.f64 #s(approx (/ -1 (/ x (sin x))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64))) (neg.f64 (sinh.f64 y))) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 5521397077432451/55213970774324510299478046898216203619608871777363092441300193790394368 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) y)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 5521397077432451/55213970774324510299478046898216203619608871777363092441300193790394368 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) y)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 5521397077432451/55213970774324510299478046898216203619608871777363092441300193790394368 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (sin.f64 x))) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))))
(if (<=.f64 x #s(literal 4799999999999999849441573180062826496 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y)) (if (<=.f64 x #s(literal 200000000000000014622376436650970514223231907140841014008447524888222484447558570375072682028771482533522137599939526250669805583210486089341093816505694878087861152108555169467124923155709317562955769697009664 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(if (<=.f64 x #s(literal 1250000000000000037973253553375458361344 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal 1250000000000000037973253553375458361344 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal 1250000000000000037973253553375458361344 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal 1250000000000000037973253553375458361344 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal 5/2 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64))) y)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal 700000000000000003131134695670819061760 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal 700000000000000003131134695670819061760 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) #s(literal 1 binary64))) #s(literal 1/2 binary64))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
Outputs
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (sin.f64 x))) (neg.f64 (sinh.f64 y)))
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 #s(literal -1 binary64) (/.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 #s(approx (/ -1 (/ x (sin x))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64))) (neg.f64 (sinh.f64 y))) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 5521397077432451/55213970774324510299478046898216203619608871777363092441300193790394368 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))))
(if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal -inf.0 binary64)) (*.f64 #s(approx (/ -1 (/ x (sin x))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64))) (neg.f64 (sinh.f64 y))) (if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal 5521397077432451/55213970774324510299478046898216203619608871777363092441300193790394368 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y)) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) (*.f64 #s(approx (/ -1 (/ x (sin x))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64))) (neg.f64 (sinh.f64 y))) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 5521397077432451/55213970774324510299478046898216203619608871777363092441300193790394368 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y)) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))))
(if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal -inf.0 binary64)) (*.f64 #s(approx (/ -1 (/ x (sin x))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64))) (neg.f64 (sinh.f64 y))) (if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal 5521397077432451/55213970774324510299478046898216203619608871777363092441300193790394368 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y)) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) (*.f64 #s(approx (/ -1 (/ x (sin x))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64))) (neg.f64 (sinh.f64 y))) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 5521397077432451/55213970774324510299478046898216203619608871777363092441300193790394368 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))))
(if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal -inf.0 binary64)) (*.f64 #s(approx (/ -1 (/ x (sin x))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64))) (neg.f64 (sinh.f64 y))) (if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal 5521397077432451/55213970774324510299478046898216203619608871777363092441300193790394368 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) y)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 5521397077432451/55213970774324510299478046898216203619608871777363092441300193790394368 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))))
(if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal -inf.0 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64)) #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))) y)) (if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal 5521397077432451/55213970774324510299478046898216203619608871777363092441300193790394368 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) y)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 5521397077432451/55213970774324510299478046898216203619608871777363092441300193790394368 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (sin.f64 x))) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))))
(if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal -inf.0 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64)) #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))) y)) (if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal 5521397077432451/55213970774324510299478046898216203619608871777363092441300193790394368 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (sin.f64 x))) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))))
(if (<=.f64 x #s(literal 4799999999999999849441573180062826496 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y)) (if (<=.f64 x #s(literal 200000000000000014622376436650970514223231907140841014008447524888222484447558570375072682028771482533522137599939526250669805583210486089341093816505694878087861152108555169467124923155709317562955769697009664 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(if (<=.f64 x #s(literal 4799999999999999849441573180062826496 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y)) (if (<=.f64 x #s(literal 200000000000000014622376436650970514223231907140841014008447524888222484447558570375072682028771482533522137599939526250669805583210486089341093816505694878087861152108555169467124923155709317562955769697009664 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) #s(approx (exp (neg y)) #s(literal 1 binary64))))) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(if (<=.f64 x #s(literal 1250000000000000037973253553375458361344 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal 1250000000000000037973253553375458361344 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal 1250000000000000037973253553375458361344 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal 1250000000000000037973253553375458361344 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal 5/2 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64))) y)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal 700000000000000003131134695670819061760 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal 700000000000000003131134695670819061760 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) #s(literal 1 binary64))) #s(literal 1/2 binary64))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))

soundness2.0s (20.5%)

Memory
-1.6MiB live, 1 076.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053361
086361
1322358
21823358
08511355
036155
059145
1181134
21118133
08629132
0113944
1373889
21224849
33021828
08122792
01934471
16274279
221174053
354283898
478573898
083973716
02814315
19004103
228993907
371233907
083163713
0616
01016
12716
211716
384016
0825716
03185533
110315339
233075107
082524825
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 983 to 613 computations (37.6% saved)

preprocess283.0ms (2.9%)

Memory
-15.8MiB live, 297.7MiB allocated
Remove

(negabs y)

(abs x)

Compiler

Compiled 1 126 to 354 computations (68.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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