Linear.Quaternion:$ccosh from linear-1.19.1.3

Time bar (total: 10.4s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze10.0ms (0.1%)

Memory
6.4MiB live, 6.4MiB 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)

sample1.2s (11.6%)

Memory
-18.9MiB live, 1 284.5MiB allocated
Samples
857.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 462.0ms
ival-sin: 294.0ms (63.6% of total)
ival-mult: 59.0ms (12.8% of total)
ival-div: 56.0ms (12.1% of total)
ival-sinh: 44.0ms (9.5% of total)
ival-true: 7.0ms (1.5% of total)
ival-assert: 3.0ms (0.6% of total)
Bogosity

explain87.0ms (0.8%)

Memory
-7.7MiB live, 61.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
260-3(1.4231340805138692e-76 1.0088095906953587e-236)(/.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/n230
(*.f64 (sin.f64 x) (sinh.f64 y))underflow23
Confusion
Predicted +Predicted -
+233
-0230
Precision
1.0
Recall
0.8846153846153846
Confusion?
Predicted +Predicted MaybePredicted -
+2303
-00230
Precision?
1.0
Recall?
0.8846153846153846
Freqs
test
numberfreq
0233
123
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
52.0ms512×0valid
Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-div: 20.0ms (52% of total)
ival-sin: 12.0ms (31.2% of total)
ival-mult: 3.0ms (7.8% of total)
ival-sinh: 3.0ms (7.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess298.0ms (2.9%)

Memory
12.2MiB live, 90.2MiB 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
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.1%
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify236.0ms (2.3%)

Memory
1.9MiB live, 40.5MiB 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

localize67.0ms (0.6%)

Memory
-7.8MiB live, 32.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(sin.f64 x)
accuracy0.0078125
(sinh.f64 y)
accuracy0.05859375
(*.f64 (sin.f64 x) (sinh.f64 y))
accuracy5.682060105813894
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Samples
44.0ms256×0valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-sinh: 27.0ms (73.5% of total)
ival-sin: 6.0ms (16.3% of total)
ival-div: 2.0ms (5.4% of total)
ival-mult: 2.0ms (5.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory
7.8MiB live, 7.8MiB 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
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
x
@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))

simplify222.0ms (2.1%)

Memory
12.0MiB live, 121.6MiB 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)

rewrite190.0ms (1.8%)

Memory
-7.9MiB live, 109.9MiB 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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eval171.0ms (1.7%)

Memory
-14.6MiB live, 106.6MiB allocated
Compiler

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

prune64.0ms (0.6%)

Memory
4.8MiB live, 43.6MiB allocated
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New55411565
Fresh000
Picked101
Done000
Total55511566
Accuracy
100.0%
Counts
566 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))
81.1%
(/.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)
43.9%
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x)
90.6%
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (*.f64 (sinh.f64 y) (sin.f64 x))))
99.9%
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
67.9%
(*.f64 (/.f64 (neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) (neg.f64 (*.f64 x x))) x)
91.1%
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x))))
99.9%
(*.f64 (*.f64 (sin.f64 x) (/.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
52.8%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
56.2%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
88.8%
#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 238 to 194 computations (18.5% saved)

simplify238.0ms (2.3%)

Memory
26.9MiB live, 181.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 x)
cost-diff0
(/.f64 x (sin.f64 x))
cost-diff0
(sinh.f64 y)
cost-diff384
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))
cost-diff0
(exp.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-diff640
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
cost-diff6400
(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))
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
(/.f64 #s(literal 2 binary64) x)
cost-diff0
(sin.f64 x)
cost-diff0
(*.f64 (sin.f64 x) (/.f64 #s(literal 2 binary64) x))
cost-diff640
(*.f64 (*.f64 (sin.f64 x) (/.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034207
055205
1101205
2233197
3669189
42893187
55445187
08108185
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (sin.f64 x) (/.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
(*.f64 (sin.f64 x) (/.f64 #s(literal 2 binary64) x))
(sin.f64 x)
x
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) (sinh.f64 y))
#s(literal 1/2 binary64)
(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 (sinh.f64 y) (/.f64 x (sin.f64 x)))
(sinh.f64 y)
y
(/.f64 x (sin.f64 x))
x
(sin.f64 x)
Outputs
(*.f64 (*.f64 (sin.f64 x) (/.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 #s(literal 2 binary64) x))
(*.f64 (/.f64 (sin.f64 x) x) #s(literal 2 binary64))
(sin.f64 x)
x
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) (sinh.f64 y))
(*.f64 (sinh.f64 y) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(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)))
(*.f64 (sinh.f64 y) #s(literal 2 binary64))
(exp.f64 y)
y
(exp.f64 (neg.f64 y))
(neg.f64 y)
#s(literal 1/2 binary64)
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
(sinh.f64 y)
y
(/.f64 x (sin.f64 x))
x
(sin.f64 x)

localize297.0ms (2.9%)

Memory
-26.6MiB live, 138.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(sin.f64 x)
accuracy0.0078125
(sinh.f64 y)
accuracy0.09765625
(/.f64 x (sin.f64 x))
accuracy0.24218750000000003
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))
accuracy0
(exp.f64 (neg.f64 y))
accuracy0
(exp.f64 y)
accuracy22.649404572595763
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
accuracy30.38862124892699
(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))
accuracy0.078125
(*.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)
accuracy0.13671875
(/.f64 (sin.f64 x) x)
accuracy1.2038342527614183
(*.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)))
accuracy8.07559526017921
#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
(sin.f64 x)
accuracy0.12372041149207616
(*.f64 (/.f64 (sin.f64 x) x) y)
accuracy0.13671875
(/.f64 (sin.f64 x) x)
accuracy30.1897939161209
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
accuracy0
(sin.f64 x)
accuracy0.0078125
(sinh.f64 y)
accuracy0.04296875
(*.f64 (*.f64 (sin.f64 x) (/.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
accuracy0.28125
(*.f64 (sin.f64 x) (/.f64 #s(literal 2 binary64) x))
Samples
176.0ms50×2valid
57.0ms78×1valid
41.0ms128×0valid
Compiler

Compiled 181 to 33 computations (81.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 196.0ms
ival-exp: 80.0ms (40.8% of total)
ival-add: 63.0ms (32.2% of total)
ival-mult: 18.0ms (9.2% of total)
const: 9.0ms (4.6% of total)
ival-div: 8.0ms (4.1% of total)
adjust: 7.0ms (3.6% of total)
ival-sin: 6.0ms (3.1% of total)
ival-sub: 2.0ms (1% of total)
ival-neg: 1.0ms (0.5% of total)
ival-sinh: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series34.0ms (0.3%)

Memory
15.8MiB live, 15.8MiB allocated
Counts
18 → 312
Calls
Call 1
Inputs
#s(alt (*.f64 (*.f64 (sin.f64 x) (/.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y))) (patch (*.f64 (*.f64 (sin.f64 x) (/.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y))) #<representation binary64>) () ())
#s(alt (*.f64 (sin.f64 x) (/.f64 #s(literal 2 binary64) x)) (patch (*.f64 (sin.f64 x) (/.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())
#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) x) (patch (/.f64 #s(literal 2 binary64) 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 (exp.f64 y) (exp.f64 (neg.f64 y))) (patch (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #<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 (exp.f64 y) (patch (exp.f64 y) #<representation binary64>) () ())
#s(alt (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) (patch (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) #<representation binary64>) () ())
#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())
#s(alt (/.f64 x (sin.f64 x)) (patch (/.f64 x (sin.f64 x)) #<representation binary64>) () ())
#s(alt (*.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 (*.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 (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 (*.f64 (sin.f64 x) (/.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y))) (patch (*.f64 (*.f64 (sin.f64 x) (/.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 1/2 binary64) (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 (sin.f64 x) (/.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y))) (patch (*.f64 (*.f64 (sin.f64 x) (/.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 1/2 binary64) (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 (sin.f64 x) (/.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y))) (patch (*.f64 (*.f64 (sin.f64 x) (/.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 1/2 binary64) (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 (sin.f64 x) (/.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y))) (patch (*.f64 (*.f64 (sin.f64 x) (/.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 1/2 binary64) (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 (* 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 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 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 (sinh.f64 y) (/.f64 x (sin.f64 x))) (patch (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) (taylor 0 y) (#s(alt (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) (patch (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))) (taylor 0 y) (#s(alt (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) (patch (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x))) (taylor 0 y) (#s(alt (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) (patch (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) #<representation binary64>) () ())) ())
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#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 (sinh.f64 y) (/.f64 x (sin.f64 x))) (patch (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf x) (#s(alt (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) (patch (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf x) (#s(alt (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) (patch (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf x) (#s(alt (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) (patch (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ x (sin x)) (taylor -inf x) (#s(alt (/.f64 x (sin.f64 x)) (patch (/.f64 x (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ x (sin x)) (taylor -inf x) (#s(alt (/.f64 x (sin.f64 x)) (patch (/.f64 x (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ x (sin x)) (taylor -inf x) (#s(alt (/.f64 x (sin.f64 x)) (patch (/.f64 x (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ x (sin x)) (taylor -inf x) (#s(alt (/.f64 x (sin.f64 x)) (patch (/.f64 x (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x) (taylor -inf x) (#s(alt (*.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 (*.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 (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x) (taylor -inf x) (#s(alt (*.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 (*.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 (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x) (taylor -inf x) (#s(alt (*.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 (*.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 (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x) (taylor -inf x) (#s(alt (*.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 (*.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>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
6.0ms
x
@0
((* (* (sin x) (/ 2 x)) (* 1/2 (sinh y))) (* (sin x) (/ 2 x)) (sin x) (/ 2 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))) (* (- (exp y) (exp (neg y))) 1/2) (/ (* (sin x) (sinh y)) x) (exp y) (/ (sinh y) (/ x (sin x))) (sinh y) (/ x (sin x)) (* (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) y) (exp (neg y)))
6.0ms
x
@-inf
((* (* (sin x) (/ 2 x)) (* 1/2 (sinh y))) (* (sin x) (/ 2 x)) (sin x) (/ 2 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))) (* (- (exp y) (exp (neg y))) 1/2) (/ (* (sin x) (sinh y)) x) (exp y) (/ (sinh y) (/ x (sin x))) (sinh y) (/ x (sin x)) (* (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) y) (exp (neg y)))
5.0ms
x
@inf
((* (* (sin x) (/ 2 x)) (* 1/2 (sinh y))) (* (sin x) (/ 2 x)) (sin x) (/ 2 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))) (* (- (exp y) (exp (neg y))) 1/2) (/ (* (sin x) (sinh y)) x) (exp y) (/ (sinh y) (/ x (sin x))) (sinh y) (/ x (sin x)) (* (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) y) (exp (neg y)))
3.0ms
y
@inf
((* (* (sin x) (/ 2 x)) (* 1/2 (sinh y))) (* (sin x) (/ 2 x)) (sin x) (/ 2 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))) (* (- (exp y) (exp (neg y))) 1/2) (/ (* (sin x) (sinh y)) x) (exp y) (/ (sinh y) (/ x (sin x))) (sinh y) (/ x (sin x)) (* (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) y) (exp (neg y)))
3.0ms
y
@-inf
((* (* (sin x) (/ 2 x)) (* 1/2 (sinh y))) (* (sin x) (/ 2 x)) (sin x) (/ 2 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))) (* (- (exp y) (exp (neg y))) 1/2) (/ (* (sin x) (sinh y)) x) (exp y) (/ (sinh y) (/ x (sin x))) (sinh y) (/ x (sin x)) (* (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) y) (exp (neg y)))

simplify602.0ms (5.8%)

Memory
1.2MiB live, 150.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02534133
18053924
227763656
372343656
080043455
Stop Event
iter limit
node limit
Counts
312 → 308
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))
(* 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))))))))
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)))
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)))
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) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))
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))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 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))))))
(- (exp y) (exp (neg y)))
(- (exp y) (exp (neg y)))
(- (exp y) (exp (neg y)))
(- (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 (- (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 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 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/120 (/ (* (pow y 5) (sin x)) x))
(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2))))))
(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4))))))
(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4))))))
(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))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 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))))))
(- (exp y) (exp (* -1 y)))
(- (exp y) (exp (* -1 y)))
(- (exp y) (exp (* -1 y)))
(- (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 (- (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 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 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/120 (/ (* (pow y 5) (sin x)) x))
(* -1 (* (pow y 5) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x)))))
(* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (* x (pow y 4)))) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x))))))
(* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (* x (pow y 4)))) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x))))))
(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
(+ 2 (* -1/3 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 1/60 (pow x 2)) 1/3)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/60 (* -1/2520 (pow x 2)))) 1/3)))
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))))
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(* 1/2 (- (exp y) (/ 1 (exp y))))
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))
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
(+ 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)))))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(+ (* -1/6 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
(+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))))
(+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* 1/120 (* y (+ 1 (* (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))
(* 2 (/ (sin x) x))
(* 2 (/ (sin x) x))
(* 2 (/ (sin x) x))
(* 2 (/ (sin x) x))
(sin x)
(sin x)
(sin x)
(sin x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 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))
(/ (* 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))
(/ x (sin x))
(/ x (sin x))
(/ x (sin x))
(/ x (sin x))
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x)
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x)
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x)
(/ (* y (* (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))
(* 2 (/ (sin x) x))
(* 2 (/ (sin x) x))
(* 2 (/ (sin x) x))
(* 2 (/ (sin x) x))
(sin x)
(sin x)
(sin x)
(sin x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 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))
(/ (* 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))
(/ x (sin x))
(/ x (sin x))
(/ x (sin x))
(/ x (sin x))
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x)
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x)
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x)
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) 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 (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)
(/ (* 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)
(/ (* 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 (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)
(/ (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))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* y (+ 2 (* 1/3 (pow y 2))))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)
(* y (+ 2 (* (pow y 2) (+ 1/3 (* 1/60 (pow y 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)
(* y (+ 2 (* (pow y 2) (+ 1/3 (* (pow y 2) (+ 1/60 (* 1/2520 (pow y 2))))))))
(*.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)
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)))
(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
#s(literal 1 binary64)
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(/ (* 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)
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)))
(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) (+ (* 1/120 (/ (* (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))
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
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(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) x))
(* 2 (/ (sin x) x))
(*.f64 (/.f64 (sin.f64 x) x) #s(literal 2 binary64))
(* 2 (/ (sin x) x))
(*.f64 (/.f64 (sin.f64 x) x) #s(literal 2 binary64))
(* 2 (/ (sin x) x))
(*.f64 (/.f64 (sin.f64 x) x) #s(literal 2 binary64))
(* 2 (/ (sin x) x))
(*.f64 (/.f64 (sin.f64 x) x) #s(literal 2 binary64))
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
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(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) x))
(/ (* 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)
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(/ (* y (sin x)) x)
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(/ (sin x) x)
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(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) x))
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(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
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(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) 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))
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(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) x))
(* 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 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) x))
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(/.f64 x (sin.f64 x))
(/ x (sin x))
(/.f64 x (sin.f64 x))
(/ x (sin x))
(/.f64 x (sin.f64 x))
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x)
(*.f64 (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) (/.f64 (sin.f64 x) x))
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x)
(*.f64 (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) (/.f64 (sin.f64 x) x))
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x)
(*.f64 (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) (/.f64 (sin.f64 x) x))
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x)
(*.f64 (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) (/.f64 (sin.f64 x) x))

rewrite296.0ms (2.9%)

Memory
-15.6MiB live, 302.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034154
055156
1169136
21051134
09076132
Stop Event
iter limit
node limit
iter limit
Counts
18 → 1 146
Calls
Call 1
Inputs
(*.f64 (*.f64 (sin.f64 x) (/.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
(*.f64 (sin.f64 x) (/.f64 #s(literal 2 binary64) x))
(sin.f64 x)
(/.f64 #s(literal 2 binary64) 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 (exp.f64 y) (exp.f64 (neg.f64 y)))
(*.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)))
(exp.f64 y)
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))
(sinh.f64 y)
(/.f64 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)
(exp.f64 (neg.f64 y))
Outputs
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eval300.0ms (2.9%)

Memory
52.7MiB live, 514.5MiB allocated
Compiler

Compiled 32 414 to 3 804 computations (88.3% saved)

prune67.0ms (0.6%)

Memory
-14.1MiB live, 196.1MiB allocated
Pruning

24 alts after pruning (23 fresh and 1 done)

PrunedKeptTotal
New1 657221 679
Fresh516
Picked415
Done000
Total1 666241 690
Accuracy
100.0%
Counts
1 690 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.1%
(/.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)
61.3%
(*.f64 #s(approx (* (sin x) (/ 2 x)) (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
52.8%
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y (/.f64 x (sin.f64 x))))
43.4%
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (sin.f64 x)))))
52.8%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
65.0%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y (neg.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 x)))))
65.0%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (sin.f64 x)))
43.9%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 (sin.f64 x)) y)))
56.0%
#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)))
17.9%
#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)))
80.5%
#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))
52.7%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (sin.f64 x))) y))
56.0%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #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 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.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 (*.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 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
55.8%
#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))
34.9%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #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))) y))
36.8%
#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))
32.5%
#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))
27.3%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
59.4%
#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)))
52.0%
#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)))
56.9%
#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))
64.6%
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
36.8%
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) y)))
Compiler

Compiled 637 to 490 computations (23.1% saved)

simplify154.0ms (1.5%)

Memory
-27.2MiB live, 130.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 2 binary64))
cost-diff0
#s(approx (* (sin x) (/ 2 x)) (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 2 binary64)))
cost-diff0
(*.f64 #s(approx (* (sin x) (/ 2 x)) (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
cost-diff0
(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))
cost-diff0
#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)))
cost-diff0
(*.f64 #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 #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 #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 #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
(*.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)))
cost-diff0
#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))
cost-diff0
(/.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)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046466
076466
1146466
2293466
3815461
42256461
53958461
65870461
77973461
08183456
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.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)) (*.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))
(*.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)
(*.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)))
(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 #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 #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 #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 #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 #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 #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 #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 #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 #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 #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(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)
(*.f64 #s(approx (* (sin x) (/ 2 x)) (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
#s(approx (* (sin x) (/ 2 x)) (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 2 binary64))
#s(literal -1/3 binary64)
(*.f64 x x)
x
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) (sinh.f64 y))
#s(literal 1/2 binary64)
(sinh.f64 y)
y
Outputs
(/.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)
(/.f64 #s(approx (* (sin x) (sinh 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) (sin.f64 x))) x)
#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))
#s(approx (* (sin x) (sinh 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) (sin.f64 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)
(*.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) (sin.f64 x))
(*.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)))
(*.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)) (sin.f64 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 #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 #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 #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 #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 #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 #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 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(*.f64 #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 (*.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)))
(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 #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(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)
(*.f64 #s(approx (* (sin x) (/ 2 x)) (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
(*.f64 (*.f64 (sinh.f64 y) #s(literal 1/2 binary64)) #s(approx (* (sin x) (/ 2 x)) (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 2 binary64))))
#s(approx (* (sin x) (/ 2 x)) (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 2 binary64))
#s(literal -1/3 binary64)
(*.f64 x x)
x
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) (sinh.f64 y))
(*.f64 (sinh.f64 y) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(sinh.f64 y)
y

localize222.0ms (2.1%)

Memory
28.5MiB live, 231.5MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(sinh.f64 y)
accuracy0.04296875
(*.f64 #s(approx (* (sin x) (/ 2 x)) (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
accuracy0.2760816050956555
(fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 2 binary64))
accuracy30.792324872227585
#s(approx (* (sin x) (/ 2 x)) (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 2 binary64)))
accuracy0.47993757791259983
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
accuracy1.2038342527614183
(*.f64 #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 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
accuracy8.07559526017921
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #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 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
accuracy30.689672827468033
#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)))
accuracy0.12372041149207616
(*.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)
accuracy0.2803991754573021
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
accuracy30.1897939161209
#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))
accuracy30.714090986033117
#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)))
accuracy0.12372041149207616
(*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)
accuracy30.1897939161209
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
accuracy30.37378235192952
#s(approx (/ (sin x) x) #s(literal 1 binary64))
accuracy0.125
(*.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)
accuracy1.91941673137527
(*.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)))
accuracy5.682060105813894
(/.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)
accuracy9.046581390059515
#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))
Samples
161.0ms256×0valid
Compiler

Compiled 301 to 44 computations (85.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 92.0ms
const: 37.0ms (40.2% of total)
ival-mult: 32.0ms (34.8% of total)
ival-add: 9.0ms (9.8% of total)
ival-sin: 7.0ms (7.6% of total)
ival-div: 5.0ms (5.4% of total)
ival-sinh: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series79.0ms (0.8%)

Memory
-2.5MiB live, 73.5MiB allocated
Counts
23 → 408
Calls
Call 1
Inputs
#s(alt (/.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) (patch (/.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) #<representation binary64>) () ())
#s(alt #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)) (patch #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)) #<representation binary64>) () ())
#s(alt (*.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))) (patch (*.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))) #<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 #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 #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 #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 #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 #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 #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 #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 #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 #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))) (patch #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))) #<representation binary64>) () ())
#s(alt (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)) (patch (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)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (* (sin x) (/ 2 x)) (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y))) (patch (*.f64 #s(approx (* (sin x) (/ 2 x)) (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y))) #<representation binary64>) () ())
#s(alt #s(approx (* (sin x) (/ 2 x)) (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 2 binary64))) (patch #s(approx (* (sin x) (/ 2 x)) (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) (patch (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (*.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) (patch (*.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) #<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 -1/5040 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 (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())
Outputs
#s(alt (/ (* y (sin x)) x) (taylor 0 y) (#s(alt (/.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) (patch (/.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) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) (taylor 0 y) (#s(alt (/.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) (patch (/.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) #<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(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) (patch (/.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) #<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(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) (patch (/.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) #<representation binary64>) () ())) ())
#s(alt (* y (sin x)) (taylor 0 y) (#s(alt #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)) (patch #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)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))) (taylor 0 y) (#s(alt #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)) (patch #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)) #<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 #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)) (patch #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)) #<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 #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)) (patch #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)) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor 0 y) (#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())) ())
#s(alt (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) (taylor 0 y) (#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())) ())
#s(alt (+ (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) (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 (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))) #<representation binary64>) () ())) ())
#s(alt (+ (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) (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 (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))) #<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>) () ())) ())
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#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (taylor -inf x) (#s(alt (*.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) (patch (*.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) #<representation binary64>) () ())) ())
#s(alt (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (taylor -inf x) (#s(alt (*.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) (patch (*.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) #<representation binary64>) () ())) ())
#s(alt (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (taylor -inf x) (#s(alt (*.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) (patch (*.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) #<representation binary64>) () ())) ())
#s(alt (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (taylor -inf x) (#s(alt (*.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) (patch (*.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) #<representation binary64>) () ())) ())
#s(alt (* 1/120 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/5040 (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
34.0ms
y
@inf
((/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (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) (+ (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (* x x)) 1) (* (* (sin x) (/ 2 x)) (* 1/2 (sinh y))) (* (sin x) (/ 2 x)) (+ (* -1/3 (* x x)) 2) (* x x) (* (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) y) (+ (* (* x x) 1/120) -1/6) (+ (* -1/5040 (* x x)) 1/120) (sinh y))
4.0ms
x
@-inf
((/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (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) (+ (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (* x x)) 1) (* (* (sin x) (/ 2 x)) (* 1/2 (sinh y))) (* (sin x) (/ 2 x)) (+ (* -1/3 (* x x)) 2) (* x x) (* (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) y) (+ (* (* x x) 1/120) -1/6) (+ (* -1/5040 (* x x)) 1/120) (sinh y))
4.0ms
x
@inf
((/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (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) (+ (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (* x x)) 1) (* (* (sin x) (/ 2 x)) (* 1/2 (sinh y))) (* (sin x) (/ 2 x)) (+ (* -1/3 (* x x)) 2) (* x x) (* (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) y) (+ (* (* x x) 1/120) -1/6) (+ (* -1/5040 (* x x)) 1/120) (sinh y))
2.0ms
y
@-inf
((/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (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) (+ (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (* x x)) 1) (* (* (sin x) (/ 2 x)) (* 1/2 (sinh y))) (* (sin x) (/ 2 x)) (+ (* -1/3 (* x x)) 2) (* x x) (* (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) y) (+ (* (* x x) 1/120) -1/6) (+ (* -1/5040 (* x x)) 1/120) (sinh y))
2.0ms
y
@0
((/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (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) (+ (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (* x x)) 1) (* (* (sin x) (/ 2 x)) (* 1/2 (sinh y))) (* (sin x) (/ 2 x)) (+ (* -1/3 (* x x)) 2) (* x x) (* (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) y) (+ (* (* x x) 1/120) -1/6) (+ (* -1/5040 (* x x)) 1/120) (sinh y))

simplify232.0ms (2.2%)

Memory
0.6MiB live, 210.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02595531
18595177
230324881
081904615
Stop Event
iter limit
node limit
Counts
408 → 404
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))))))))
(sin x)
(+ (sin x) (* 1/6 (* (pow y 2) (sin x))))
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (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 (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))
(* 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) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (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)))))
(* 1/120 (* (pow y 4) (sin x)))
(* (pow y 4) (+ (* 1/120 (sin x)) (* 1/6 (/ (sin x) (pow y 2)))))
(* (pow y 4) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4)))))
(* (pow y 4) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin 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)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 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))
(* 1/120 (* (pow y 5) (sin x)))
(* (pow y 5) (+ (* 1/120 (sin x)) (* 1/6 (/ (sin x) (pow y 2)))))
(* (pow y 5) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4)))))
(* (pow y 5) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4)))))
(* 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)))))
(* 1/120 (* (pow y 4) (sin x)))
(* (pow y 4) (+ (* 1/120 (sin x)) (* 1/6 (/ (sin x) (pow y 2)))))
(* (pow y 4) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4)))))
(* (pow y 4) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin 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)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 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))
(* 1/120 (* (pow y 5) (sin x)))
(* -1 (* (pow y 5) (+ (* -1/6 (/ (sin x) (pow y 2))) (* -1/120 (sin x)))))
(* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (pow y 4))) (+ (* -1/6 (/ (sin x) (pow y 2))) (* -1/120 (sin x))))))
(* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (pow y 4))) (+ (* -1/6 (/ (sin x) (pow y 2))) (* -1/120 (sin x))))))
(* 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 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(* x (+ 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)))))))
(* x (+ 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)))))))
(* x (+ 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)))))))
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)))))))))
2
(+ 2 (* -1/3 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 1/60 (pow x 2)) 1/3)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/60 (* -1/2520 (pow x 2)))) 1/3)))
2
(+ 2 (* -1/3 (pow x 2)))
(+ 2 (* -1/3 (pow x 2)))
(+ 2 (* -1/3 (pow x 2)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* x (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
(* x (+ (* -1/6 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))
(* x (+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))))))
(* x (+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* 1/120 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))))))
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(- (* 1/120 (pow x 2)) 1/6)
(- (* 1/120 (pow x 2)) 1/6)
1/120
(+ 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))
(* 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) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(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))
(* 2 (/ (sin x) x))
(* 2 (/ (sin x) x))
(* 2 (/ (sin x) x))
(* 2 (/ (sin x) x))
(* -1/3 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/3))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/3))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/3))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
(* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
(* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
(* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
(* 1/120 (pow x 2))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* -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))
(* 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) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(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))
(* 2 (/ (sin x) x))
(* 2 (/ (sin x) x))
(* 2 (/ (sin x) x))
(* 2 (/ (sin x) x))
(* -1/3 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/3))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/3))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/3))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
(* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
(* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
(* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
(* 1/120 (pow x 2))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* -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)
(* 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 (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) (sin.f64 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))))))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (sin.f64 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)) (sin.f64 x))) y)
(sin x)
(sin.f64 x)
(+ (sin x) (* 1/6 (* (pow y 2) (sin x))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (sin.f64 x))
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (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 (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)
(/ (* 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)))
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(* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
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(sin x)
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(sin x)
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(sin 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))
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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))
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(/ (* y (sin x)) x)
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(/ (* y (sin x)) x)
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(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
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(/ (* y (sin x)) x)
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(* 1/120 (pow x 4))
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(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* (pow x 4) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
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(* (pow x 4) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/120 binary64))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) 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) (+ 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)
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(/ (sin x) x)
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(* -1/5040 (pow x 6))
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(* (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 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64)))
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(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
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(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
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(* 2 (/ (sin x) x))
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(* 2 (/ (sin x) x))
(*.f64 (/.f64 (sin.f64 x) x) #s(literal 2 binary64))
(* 2 (/ (sin x) x))
(*.f64 (/.f64 (sin.f64 x) x) #s(literal 2 binary64))
(* 2 (/ (sin x) x))
(*.f64 (/.f64 (sin.f64 x) x) #s(literal 2 binary64))
(* -1/3 (pow x 2))
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(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/3))
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(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/3))
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(pow x 2)
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(pow x 2)
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(pow x 2)
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(pow x 2)
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(* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
(*.f64 (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) (sin.f64 x))
(* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
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(* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
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(* 1/120 (pow x 2))
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(* (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)))))
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(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) x) x)
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) x) x)

rewrite192.0ms (1.9%)

Memory
-25.5MiB live, 370.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046346
076346
1269346
21660346
08364346
Stop Event
iter limit
node limit
iter limit
Counts
23 → 365
Calls
Call 1
Inputs
(/.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)) (*.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))
(*.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)))
(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 #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 #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 #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 #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 #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 #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) (/ 2 x)) (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
#s(approx (* (sin x) (/ 2 x)) (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 2 binary64))
(*.f64 x 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)
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(sinh.f64 y)
Outputs
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eval255.0ms (2.5%)

Memory
14.9MiB live, 337.6MiB allocated
Compiler

Compiled 23 251 to 2 635 computations (88.7% saved)

prune46.0ms (0.4%)

Memory
6.7MiB live, 133.0MiB allocated
Pruning

30 alts after pruning (27 fresh and 3 done)

PrunedKeptTotal
New84910859
Fresh11718
Picked325
Done011
Total85330883
Accuracy
100.0%
Counts
883 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.5%
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.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)) y)) x)
74.2%
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) y)) x)
46.9%
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (*.f64 (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))) x)) y)) x)
11.6%
(*.f64 #s(approx (* (sin x) (/ 2 x)) #s(approx (+ (* -1/3 (* x x)) 2) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
52.8%
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y (/.f64 x (sin.f64 x))))
43.4%
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (sin.f64 x)))))
52.8%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
65.0%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y (neg.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 x)))))
65.0%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (sin.f64 x)))
43.9%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 (sin.f64 x)) y)))
56.0%
#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)))
17.9%
#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)))
52.7%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (sin.f64 x))) y))
56.0%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) 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 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.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 (*.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 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
55.7%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (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) #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))
56.0%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (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)) 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))
55.8%
#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))
56.0%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (/.f64 #s(literal 1 binary64) (/.f64 #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 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
56.0%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (+.f64 (*.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)) 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))
34.9%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #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))) y))
36.8%
#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))
32.5%
#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))
36.4%
#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))
27.3%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
59.4%
#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)))
52.0%
#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)))
56.9%
#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))
64.6%
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
36.8%
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) y)))
Compiler

Compiled 967 to 689 computations (28.7% saved)

simplify269.0ms (2.6%)

Memory
-28.9MiB live, 165.8MiB 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 (*.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)) x) x #s(literal 1 binary64))
cost-diff0
#s(approx (/ (sin x) x) (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)) x) x #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (/ (sin x) x) (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)) 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 (*.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)) 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
(*.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)
cost-diff0
#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))
cost-diff0
(*.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))
cost-diff0
#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)))
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
#s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)))
cost-diff0
(*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) y)
cost-diff0
#s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) y))
cost-diff0
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) y)) x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063601
0101601
1177601
2334601
3898599
42431599
54170599
66608599
08050597
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) y)) x)
#s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) y))
(*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) y)
#s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(sin.f64 x)
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) (*.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)))
(*.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 (- (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))
(*.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)
(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))
(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))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64))
#s(literal 1/2520 binary64)
(*.f64 y y)
y
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
#s(literal 2 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (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)) 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 (*.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)) 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 (*.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)) 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 (*.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)) x) x #s(literal 1 binary64)))
(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)) x) x #s(literal 1 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)) x)
(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(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 #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(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) y)) x)
#s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) y))
(*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) y)
#s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(sin.f64 x)
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) (*.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 #s(literal 1/2 binary64) #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))))
(*.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))
(*.f64 #s(literal 1/2 binary64) #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(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))
(*.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)
(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))
(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))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64))
#s(literal 1/2520 binary64)
(*.f64 y y)
y
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
#s(literal 2 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (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)) 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 (*.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)) x) x #s(literal 1 binary64)))))
(*.f64 (*.f64 #s(approx (/ (sin x) x) (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)) 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 (*.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)) x) x #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sin x) x) (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)) 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 (*.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)) x) x #s(literal 1 binary64))))
#s(approx (/ (sin x) x) (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)) x) x #s(literal 1 binary64)))
(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)) x) x #s(literal 1 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)) x)
(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(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 #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)

localize490.0ms (4.7%)

Memory
-1.4MiB live, 322.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(exp.f64 (neg.f64 y))
accuracy22.649404572595763
#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)))
accuracy30.38862124892699
(-.f64 #s(approx (exp y) #s(literal 1 binary64)) (exp.f64 (neg.f64 y)))
accuracy30.79772874777516
#s(approx (exp y) #s(literal 1 binary64))
accuracy0.47993757791259983
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
accuracy1.2038342527614183
(*.f64 #s(approx (/ (sin x) x) (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)) 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)))
accuracy8.07559526017921
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (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)) 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))
accuracy30.689672827468033
#s(approx (/ (sin x) x) (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)) x) x #s(literal 1 binary64)))
accuracy0.05078125
(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))
accuracy0.29464329004954315
(fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64))
accuracy4.500836964854218
#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))
accuracy22.649404572595763
#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)))
accuracy0.12372041149207616
(*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) y)
accuracy0.27881947253147255
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))
accuracy30.1897939161209
#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))
accuracy30.792185819057448
#s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))
accuracy4.271487956911221
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))
accuracy5.682060105813894
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) y)) x)
accuracy9.046581390059515
#s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) y))
accuracy20.15824022640393
#s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)))
Samples
197.0ms78×1valid
114.0ms128×0valid
74.0ms50×2valid
Compiler

Compiled 362 to 54 computations (85.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 273.0ms
const: 113.0ms (41.4% of total)
ival-mult: 92.0ms (33.7% of total)
ival-exp: 22.0ms (8.1% of total)
ival-add: 16.0ms (5.9% of total)
adjust: 14.0ms (5.1% of total)
ival-sin: 6.0ms (2.2% of total)
ival-div: 3.0ms (1.1% of total)
ival-sub: 2.0ms (0.7% of total)
ival-neg: 1.0ms (0.4% of total)
ival-sinh: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series67.0ms (0.6%)

Memory
4.8MiB live, 78.8MiB allocated
Counts
25 → 432
Calls
Call 1
Inputs
#s(alt (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) y)) x) (patch (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) y)) x) #<representation binary64>) () ())
#s(alt #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) y)) (patch #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) y)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) y) (patch (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) y) #<representation binary64>) () ())
#s(alt #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) (patch #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (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) (*.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))) (patch #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))) #<representation binary64>) () ())
#s(alt (*.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)) (patch (*.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)) #<representation binary64>) () ())
#s(alt #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)) (patch #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)) #<representation binary64>) () ())
#s(alt (*.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) (patch (*.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) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (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)) 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 (*.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)) 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 (*.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)) 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 (*.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)) 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 (*.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)) x) x #s(literal 1 binary64))) (patch #s(approx (/ (sin x) x) (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)) x) x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (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)) x) x #s(literal 1 binary64)) (patch (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)) 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 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) (patch (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (patch (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) #<representation binary64>) () ())
#s(alt (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)) (patch (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)) #<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 (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(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) y)) x) (patch (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) y)) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) (taylor 0 y) (#s(alt (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) y)) x) (patch (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) 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 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) y)) x) (patch (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) 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 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) y)) x) (patch (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) y)) x) #<representation binary64>) () ())) ())
#s(alt (* y (sin x)) (taylor 0 y) (#s(alt #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) y)) (patch #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))) (taylor 0 y) (#s(alt #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) y)) (patch #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) 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 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) y)) (patch #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) 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 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) y)) (patch #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) y)) #<representation binary64>) () ())) ())
#s(alt (* y (sin x)) (taylor 0 y) (#s(alt (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) y) (patch (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))) (taylor 0 y) (#s(alt (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) y) (patch (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) 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 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) y) (patch (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) 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 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) y) (patch (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) y) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor 0 y) (#s(alt #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) (patch #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) (taylor 0 y) (#s(alt #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) (patch #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) (taylor 0 y) (#s(alt #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) (patch #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) (taylor 0 y) (#s(alt #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) (patch #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) #<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 (*.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 (* 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 (*.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 (* 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 (*.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 (* 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 (*.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 (/ (* y (sin x)) x) (taylor 0 y) (#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 (/ (* y (sin x)) x) (taylor 0 y) (#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>) () ())) ())
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#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 (*.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)) x) x #s(literal 1 binary64)) (patch (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)) 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) (+ 1 (* 1/6 (pow y 2)))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) (patch (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sin x) (+ 1 (* 1/6 (pow y 2)))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) (patch (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sin x) (+ 1 (* 1/6 (pow y 2)))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) (patch (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sin x) (+ 1 (* 1/6 (pow y 2)))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) (patch (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (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
20.0ms
x
@-inf
((/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (* (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) y) (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (+ (* (* x x) -1/6) 1) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (* (+ (* (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (* y y)) 2) y) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (/ (sin x) x) (+ (* (* (+ (* (+ (* -1/5040 (* x x)) 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) (* (+ (* (* y y) 1/6) 1) (sin x)) (+ (* 1/2520 (* y y)) 1/60) (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (+ (* -1/5040 (* x x)) 1/120) (exp (neg y)))
3.0ms
x
@inf
((/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (* (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) y) (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (+ (* (* x x) -1/6) 1) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (* (+ (* (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (* y y)) 2) y) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (/ (sin x) x) (+ (* (* (+ (* (+ (* -1/5040 (* x x)) 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) (* (+ (* (* y y) 1/6) 1) (sin x)) (+ (* 1/2520 (* y y)) 1/60) (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (+ (* -1/5040 (* x x)) 1/120) (exp (neg y)))
3.0ms
y
@inf
((/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (* (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) y) (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (+ (* (* x x) -1/6) 1) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (* (+ (* (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (* y y)) 2) y) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (/ (sin x) x) (+ (* (* (+ (* (+ (* -1/5040 (* x x)) 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) (* (+ (* (* y y) 1/6) 1) (sin x)) (+ (* 1/2520 (* y y)) 1/60) (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (+ (* -1/5040 (* x x)) 1/120) (exp (neg y)))
3.0ms
y
@-inf
((/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (* (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) y) (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (+ (* (* x x) -1/6) 1) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (* (+ (* (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (* y y)) 2) y) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (/ (sin x) x) (+ (* (* (+ (* (+ (* -1/5040 (* x x)) 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) (* (+ (* (* y y) 1/6) 1) (sin x)) (+ (* 1/2520 (* y y)) 1/60) (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (+ (* -1/5040 (* x x)) 1/120) (exp (neg y)))
2.0ms
y
@0
((/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (* (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) y) (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (+ (* (* x x) -1/6) 1) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (* (+ (* (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (* y y)) 2) y) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (/ (sin x) x) (+ (* (* (+ (* (+ (* -1/5040 (* x x)) 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) (* (+ (* (* y y) 1/6) 1) (sin x)) (+ (* 1/2520 (* y y)) 1/60) (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (+ (* -1/5040 (* x x)) 1/120) (exp (neg y)))

simplify268.0ms (2.6%)

Memory
28.7MiB live, 338.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03375937
111425549
239215244
377785243
080504926
Stop Event
iter limit
node limit
Counts
432 → 429
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 (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) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))))
(sin x)
(+ (sin x) (* 1/6 (* (pow y 2) (sin x))))
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (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
(* 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))))))))
(* 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))))))))
(/ (* 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))))))
(sin x)
(+ (sin x) (* 1/6 (* (pow y 2) (sin x))))
(+ (sin x) (* 1/6 (* (pow y 2) (sin x))))
(+ (sin x) (* 1/6 (* (pow y 2) (sin x))))
1/60
(+ 1/60 (* 1/2520 (pow y 2)))
(+ 1/60 (* 1/2520 (pow y 2)))
(+ 1/60 (* 1/2520 (pow y 2)))
1/3
(+ 1/3 (* 1/60 (pow y 2)))
(+ 1/3 (* (pow y 2) (+ 1/60 (* 1/2520 (pow y 2)))))
(+ 1/3 (* (pow y 2) (+ 1/60 (* 1/2520 (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))
(* 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 5) (sin x)))
(* (pow y 5) (+ (* 1/120 (sin x)) (* 1/6 (/ (sin x) (pow y 2)))))
(* (pow y 5) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4)))))
(* (pow y 5) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4)))))
(* 1/120 (* (pow y 4) (sin x)))
(* (pow y 4) (+ (* 1/120 (sin x)) (* 1/6 (/ (sin x) (pow y 2)))))
(* (pow y 4) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4)))))
(* (pow y 4) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin 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)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 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)))
(* 1/2520 (pow y 7))
(* (pow y 7) (+ 1/2520 (* 1/60 (/ 1 (pow y 2)))))
(* (pow y 7) (+ 1/2520 (+ (/ 1/3 (pow y 4)) (* 1/60 (/ 1 (pow y 2))))))
(* (pow y 7) (+ 1/2520 (+ (/ 1/3 (pow y 4)) (+ (* 1/60 (/ 1 (pow y 2))) (* 2 (/ 1 (pow y 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)
(* 1/6 (* (pow y 2) (sin x)))
(* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2))))
(* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2))))
(* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2))))
(* 1/2520 (pow y 2))
(* (pow y 2) (+ 1/2520 (* 1/60 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/2520 (* 1/60 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/2520 (* 1/60 (/ 1 (pow y 2)))))
(* 1/2520 (pow y 4))
(* (pow y 4) (+ 1/2520 (* 1/60 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1/2520 (+ (/ 1/3 (pow y 4)) (* 1/60 (/ 1 (pow y 2))))))
(* (pow y 4) (+ 1/2520 (+ (/ 1/3 (pow y 4)) (* 1/60 (/ 1 (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))
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(* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (pow y 4))) (+ (* -1/6 (/ (sin x) (pow y 2))) (* -1/120 (sin x))))))
(* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (pow y 4))) (+ (* -1/6 (/ (sin x) (pow y 2))) (* -1/120 (sin x))))))
(* 1/120 (* (pow y 4) (sin x)))
(* (pow y 4) (+ (* 1/120 (sin x)) (* 1/6 (/ (sin x) (pow y 2)))))
(* (pow y 4) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4)))))
(* (pow y 4) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4)))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
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(* 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)
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(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
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(* 1/2 (- (exp y) (exp (* -1 y))))
(* 1/2 (- (exp y) (exp (* -1 y))))
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(- (exp y) (exp (* -1 y)))
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(* -1 (* (pow y 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow y 2)))) (pow y 2))) 1/2520)))
(* -1 (* (pow y 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow y 2)))) (pow y 4))) (+ 1/2520 (* 1/60 (/ 1 (pow y 2)))))))
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(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
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(* (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))))))
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(* 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 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
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(* x (+ 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)))))))
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(+ (* 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)))
(* 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 (* (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 (+ 1 (* 1/6 (pow y 2))))
(* x (+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2)))))
(* x (+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (* 1/120 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))))))))
(* x (+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/120 (+ 1 (* 1/6 (pow y 2)))))))))))
1/120
(+ 1/120 (* -1/5040 (pow x 2)))
(+ 1/120 (* -1/5040 (pow x 2)))
(+ 1/120 (* -1/5040 (pow x 2)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 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)))))
(* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
(* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
(* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
(* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
(* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(* (sin x) (+ 1 (* (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))
(/ (* 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))
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(* (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))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 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))
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(* (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))
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(* (sin x) (+ 1 (* 1/6 (pow y 2))))
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(* (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))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
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(* 1/2 (/ (* (sin x) (- (exp y) (/ 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))
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(* (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))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 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) (+ 1 (* 1/6 (pow y 2))))
(* (sin x) (+ 1 (* 1/6 (pow y 2))))
(* (sin x) (+ 1 (* 1/6 (pow y 2))))
(* (sin x) (+ 1 (* 1/6 (pow y 2))))
(* -1/5040 (pow x 2))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
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)
(* y (sin x))
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(*.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 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) (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 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 6 binary64)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) x))
(* (sin x) (+ 1 (* 1/6 (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))
(* (sin x) (+ 1 (* 1/6 (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))
(* (sin x) (+ 1 (* 1/6 (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))
(* (sin x) (+ 1 (* 1/6 (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))
(* -1/5040 (pow x 2))
(*.f64 #s(literal -1/5040 binary64) (*.f64 x x))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) x) x)
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) x) x)
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) x) x)

rewrite255.0ms (2.5%)

Memory
-7.4MiB live, 317.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063460
0101454
1345454
22245454
08254454
Stop Event
iter limit
node limit
iter limit
Counts
25 → 320
Calls
Call 1
Inputs
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) y)) x)
#s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) y))
(*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) y)
#s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (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) (*.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)))
(*.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 (- (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))
(*.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(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (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)) 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 (*.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)) 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 (*.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)) x) x #s(literal 1 binary64)))
(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)) 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))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64))
(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))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(exp.f64 (neg.f64 y))
Outputs
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eval101.0ms (1%)

Memory
-4.4MiB live, 273.1MiB allocated
Compiler

Compiled 19 200 to 2 488 computations (87% saved)

prune98.0ms (0.9%)

Memory
-7.6MiB live, 207.0MiB allocated
Pruning

36 alts after pruning (32 fresh and 4 done)

PrunedKeptTotal
New73415749
Fresh51722
Picked415
Done033
Total74336779
Accuracy
100.0%
Counts
779 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.2%
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) y)) x)
45.0%
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))) y)) x)
43.5%
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) x))) y)) x)
11.6%
(*.f64 #s(approx (* (sin x) (/ 2 x)) #s(approx (+ (* -1/3 (* x x)) 2) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
52.8%
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y (/.f64 x (sin.f64 x))))
43.4%
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (sin.f64 x)))))
52.8%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
65.0%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y (neg.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 x)))))
65.0%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (sin.f64 x)))
43.9%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 (sin.f64 x)) y)))
20.1%
#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)))
18.7%
#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)))
17.2%
#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)))
52.7%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (sin.f64 x))) y))
58.6%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.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))) (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))
55.7%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (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) #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))
56.0%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) x) x #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) 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))
55.8%
#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))
56.0%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (/.f64 #s(literal 1 binary64) (/.f64 #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 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
56.0%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (+.f64 (*.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)) 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))
34.9%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #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))) y))
36.8%
#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))
32.5%
#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))
36.4%
#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))
32.5%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 1 binary64))) y))
8.7%
#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))
27.3%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
59.4%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (fma.f64 (*.f64 (*.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)) y) y) y (*.f64 #s(literal 2 binary64) y))) #s(literal 1/2 binary64)))
59.4%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) 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)))
59.4%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (+.f64 (*.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)))
59.4%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
52.0%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
50.4%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) #s(approx (* (+ (* (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (* y y)) 2) y) (*.f64 (pow.f64 y #s(literal 7 binary64)) #s(literal 1/2520 binary64)))) #s(literal 1/2 binary64)))
56.9%
#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))
64.6%
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
36.8%
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) y)))
Compiler

Compiled 1 493 to 721 computations (51.7% saved)

regimes95.0ms (0.9%)

Memory
-3.8MiB live, 147.8MiB allocated
Counts
59 → 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 #s(approx (/ (sin x) x) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 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)))
#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 (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) #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) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) 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))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #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))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y))) (*.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 #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 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) 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))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.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)) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (+.f64 (*.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 #s(approx (- (exp y) (exp (neg y))) (fma.f64 (*.f64 (*.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)) y) y) y (*.f64 #s(literal 2 binary64) y))) #s(literal 1/2 binary64)))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) x))) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.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))) (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 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (*.f64 (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))) x)) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (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) #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 (*.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)) 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 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) x) x #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) 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 #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 #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 #s(literal -1/5040 binary64) 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 #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) (+.f64 (*.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)) 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) (/.f64 #s(literal 1 binary64) (/.f64 #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 #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))
#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 #s(approx (- (exp y) (exp (neg y))) #s(approx (* (+ (* (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (* y y)) 2) y) (*.f64 (pow.f64 y #s(literal 7 binary64)) #s(literal 1/2520 binary64)))) #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 (* (sin x) (/ 2 x)) #s(approx (+ (* -1/3 (* x x)) 2) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
(*.f64 #s(approx (* (sin x) (/ 2 x)) (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y (/.f64 x (sin.f64 x))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (sin.f64 x))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 (sin.f64 x)) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (sin.f64 x)))))
#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))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y (neg.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 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 #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 (sinh.f64 y) (/.f64 x (sin.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x))))
(*.f64 (*.f64 (sin.f64 x) (/.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (*.f64 (sinh.f64 y) (sin.f64 x))))
(*.f64 (/.f64 (neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) (neg.f64 (*.f64 x x))) x)
Outputs
(*.f64 (*.f64 (sin.f64 x) (/.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
Calls

4 calls:

39.0ms
(sinh.f64 y)
18.0ms
y
18.0ms
x
16.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
99.9%1(sinh.f64 y)
Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes80.0ms (0.8%)

Memory
19.2MiB live, 104.8MiB allocated
Counts
56 → 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 #s(approx (/ (sin x) x) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 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)))
#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 (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) #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) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) 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))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #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))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y))) (*.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 #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 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) 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))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.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)) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (+.f64 (*.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 #s(approx (- (exp y) (exp (neg y))) (fma.f64 (*.f64 (*.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)) y) y) y (*.f64 #s(literal 2 binary64) y))) #s(literal 1/2 binary64)))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) x))) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.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))) (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 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (*.f64 (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))) x)) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (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) #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 (*.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)) 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 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) x) x #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) 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 #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 #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 #s(literal -1/5040 binary64) 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 #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) (+.f64 (*.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)) 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) (/.f64 #s(literal 1 binary64) (/.f64 #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 #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))
#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 #s(approx (- (exp y) (exp (neg y))) #s(approx (* (+ (* (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (* y y)) 2) y) (*.f64 (pow.f64 y #s(literal 7 binary64)) #s(literal 1/2520 binary64)))) #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 (* (sin x) (/ 2 x)) #s(approx (+ (* -1/3 (* x x)) 2) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
(*.f64 #s(approx (* (sin x) (/ 2 x)) (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y (/.f64 x (sin.f64 x))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (sin.f64 x))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 (sin.f64 x)) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (sin.f64 x)))))
#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))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y (neg.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 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 #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 (sinh.f64 y) (/.f64 x (sin.f64 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:

32.0ms
y
17.0ms
(sinh.f64 y)
15.0ms
x
13.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
99.9%1(sinh.f64 y)
Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes81.0ms (0.8%)

Memory
-3.9MiB live, 112.6MiB allocated
Counts
52 → 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 #s(approx (/ (sin x) x) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 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)))
#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 (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) #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) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) 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))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #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))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y))) (*.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 #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 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) 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))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.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)) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (+.f64 (*.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 #s(approx (- (exp y) (exp (neg y))) (fma.f64 (*.f64 (*.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)) y) y) y (*.f64 #s(literal 2 binary64) y))) #s(literal 1/2 binary64)))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) x))) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.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))) (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 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (*.f64 (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))) x)) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (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) #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 (*.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)) 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 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) x) x #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) 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 #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 #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 #s(literal -1/5040 binary64) 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 #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) (+.f64 (*.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)) 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) (/.f64 #s(literal 1 binary64) (/.f64 #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 #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))
#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 #s(approx (- (exp y) (exp (neg y))) #s(approx (* (+ (* (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (* y y)) 2) y) (*.f64 (pow.f64 y #s(literal 7 binary64)) #s(literal 1/2520 binary64)))) #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 (* (sin x) (/ 2 x)) #s(approx (+ (* -1/3 (* x x)) 2) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
(*.f64 #s(approx (* (sin x) (/ 2 x)) (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y (/.f64 x (sin.f64 x))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (sin.f64 x))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 (sin.f64 x)) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (sin.f64 x)))))
#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))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y (neg.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 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 #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 (* (sin x) (/ 2 x)) #s(approx (+ (* -1/3 (* x x)) 2) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))) (*.f64 #s(literal 1/2 binary64) (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

4 calls:

28.0ms
(sinh.f64 y)
20.0ms
x
16.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
15.0ms
y
Results
AccuracySegmentsBranch
95.0%2x
97.6%3y
99.9%3(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
88.8%1(sinh.f64 y)
Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes17.0ms (0.2%)

Memory
-4.1MiB live, 31.7MiB allocated
Counts
46 → 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 #s(approx (/ (sin x) x) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 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)))
#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 (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) #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) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) 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))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #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))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y))) (*.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 #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 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) 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))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.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)) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (+.f64 (*.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 #s(approx (- (exp y) (exp (neg y))) (fma.f64 (*.f64 (*.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)) y) y) y (*.f64 #s(literal 2 binary64) y))) #s(literal 1/2 binary64)))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) x))) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.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))) (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 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (*.f64 (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))) x)) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (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) #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 (*.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)) 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 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) x) x #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) 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 #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 #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 #s(literal -1/5040 binary64) 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 #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) (+.f64 (*.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)) 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) (/.f64 #s(literal 1 binary64) (/.f64 #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 #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))
#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 #s(approx (- (exp y) (exp (neg y))) #s(approx (* (+ (* (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (* y y)) 2) y) (*.f64 (pow.f64 y #s(literal 7 binary64)) #s(literal 1/2520 binary64)))) #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 (* (sin x) (/ 2 x)) #s(approx (+ (* -1/3 (* x x)) 2) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
(*.f64 #s(approx (* (sin x) (/ 2 x)) (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y (/.f64 x (sin.f64 x))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (sin.f64 x))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 (sin.f64 x)) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (sin.f64 x)))))
Outputs
(*.f64 #s(approx (* (sin x) (/ 2 x)) #s(approx (+ (* -1/3 (* x x)) 2) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))) (*.f64 #s(literal 1/2 binary64) (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:

15.0ms
(/.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)

regimes14.0ms (0.1%)

Memory
-4.8MiB live, 32.6MiB allocated
Counts
40 → 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 #s(approx (/ (sin x) x) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 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)))
#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 (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) #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) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) 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))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #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))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y))) (*.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 #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 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) 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))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.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)) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (+.f64 (*.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 #s(approx (- (exp y) (exp (neg y))) (fma.f64 (*.f64 (*.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)) y) y) y (*.f64 #s(literal 2 binary64) y))) #s(literal 1/2 binary64)))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) x))) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.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))) (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 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (*.f64 (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))) x)) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (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) #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 (*.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)) 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 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) x) x #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) 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 #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 #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 #s(literal -1/5040 binary64) 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 #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) (+.f64 (*.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)) 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) (/.f64 #s(literal 1 binary64) (/.f64 #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 #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))
#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 #s(approx (- (exp y) (exp (neg y))) #s(approx (* (+ (* (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (* y y)) 2) y) (*.f64 (pow.f64 y #s(literal 7 binary64)) #s(literal 1/2520 binary64)))) #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)
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (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) #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 (sin.f64 x) x) y))
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
Calls

1 calls:

12.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
99.4%3(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes11.0ms (0.1%)

Memory
23.2MiB live, 23.2MiB allocated
Counts
38 → 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 #s(approx (/ (sin x) x) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 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)))
#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 (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) #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) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) 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))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #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))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y))) (*.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 #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 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) 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))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.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)) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (+.f64 (*.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 #s(approx (- (exp y) (exp (neg y))) (fma.f64 (*.f64 (*.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)) y) y) y (*.f64 #s(literal 2 binary64) y))) #s(literal 1/2 binary64)))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) x))) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.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))) (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 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (*.f64 (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))) x)) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (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) #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 (*.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)) 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 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) x) x #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) 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 #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 #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 #s(literal -1/5040 binary64) 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 #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) (+.f64 (*.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)) 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) (/.f64 #s(literal 1 binary64) (/.f64 #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 #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))
#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 #s(approx (- (exp y) (exp (neg y))) #s(approx (* (+ (* (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (* y y)) 2) y) (*.f64 (pow.f64 y #s(literal 7 binary64)) #s(literal 1/2520 binary64)))) #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 #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) #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 y x) (sin.f64 x)))
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
Calls

1 calls:

9.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
99.4%3(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes52.0ms (0.5%)

Memory
-27.4MiB live, 97.2MiB allocated
Counts
37 → 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 #s(approx (/ (sin x) x) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 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)))
#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 (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) #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) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) 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))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #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))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y))) (*.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 #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 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) 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))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.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)) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (+.f64 (*.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 #s(approx (- (exp y) (exp (neg y))) (fma.f64 (*.f64 (*.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)) y) y) y (*.f64 #s(literal 2 binary64) y))) #s(literal 1/2 binary64)))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) x))) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.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))) (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 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (*.f64 (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))) x)) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (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) #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 (*.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)) 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 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) x) x #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) 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 #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 #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 #s(literal -1/5040 binary64) 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 #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) (+.f64 (*.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)) 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) (/.f64 #s(literal 1 binary64) (/.f64 #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 #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))
#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 #s(approx (- (exp y) (exp (neg y))) #s(approx (* (+ (* (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (* y y)) 2) y) (*.f64 (pow.f64 y #s(literal 7 binary64)) #s(literal 1/2520 binary64)))) #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)))
Calls

4 calls:

17.0ms
x
11.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
11.0ms
(sinh.f64 y)
10.0ms
y
Results
AccuracySegmentsBranch
64.6%1(sinh.f64 y)
78.4%2x
64.6%1y
79.3%3(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes22.0ms (0.2%)

Memory
20.3MiB live, 58.9MiB allocated
Counts
34 → 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 #s(approx (/ (sin x) x) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 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)))
#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 (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) #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) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) 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))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #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))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y))) (*.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 #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 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) 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))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.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)) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (+.f64 (*.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 #s(approx (- (exp y) (exp (neg y))) (fma.f64 (*.f64 (*.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)) y) y) y (*.f64 #s(literal 2 binary64) y))) #s(literal 1/2 binary64)))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) x))) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.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))) (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 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (*.f64 (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))) x)) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (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) #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 (*.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)) 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 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) x) x #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) 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 #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 #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 #s(literal -1/5040 binary64) 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 #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) (+.f64 (*.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)) 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) (/.f64 #s(literal 1 binary64) (/.f64 #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 #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))
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (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)) 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 (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) (sinh.f64 y))
Calls

2 calls:

11.0ms
x
8.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
79.3%3(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
71.1%2x
Compiler

Compiled 8 to 8 computations (0% saved)

regimes12.0ms (0.1%)

Memory
-11.9MiB live, 25.8MiB allocated
Counts
33 → 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 #s(approx (/ (sin x) x) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 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)))
#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 (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) #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) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) 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))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #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))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y))) (*.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 #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 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) 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))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.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)) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (+.f64 (*.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 #s(approx (- (exp y) (exp (neg y))) (fma.f64 (*.f64 (*.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)) y) y) y (*.f64 #s(literal 2 binary64) y))) #s(literal 1/2 binary64)))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) x))) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.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))) (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 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (*.f64 (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))) x)) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (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) #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 (*.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)) 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 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) x) x #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) 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 #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 #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 #s(literal -1/5040 binary64) 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 #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) (+.f64 (*.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)) 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) (/.f64 #s(literal 1 binary64) (/.f64 #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 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (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)) 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 (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 (- (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)))
Calls

1 calls:

10.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
74.2%3(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes9.0ms (0.1%)

Memory
17.2MiB live, 17.2MiB allocated
Counts
27 → 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 #s(approx (/ (sin x) x) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 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)))
#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 (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) #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) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) 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))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #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))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y))) (*.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 #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 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) 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))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.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)) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (+.f64 (*.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 #s(approx (- (exp y) (exp (neg y))) (fma.f64 (*.f64 (*.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)) y) y) y (*.f64 #s(literal 2 binary64) y))) #s(literal 1/2 binary64)))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) x))) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.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))) (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 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (*.f64 (*.f64 (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))) x)) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (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) #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))
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (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) #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 (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 (- (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)))
Calls

1 calls:

7.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
74.2%3(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes15.0ms (0.1%)

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

1 calls:

14.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
74.1%3(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes6.0ms (0.1%)

Memory
17.9MiB live, 17.9MiB allocated
Counts
19 → 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 #s(approx (/ (sin x) x) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 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)))
#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 (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) #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) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) 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))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #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))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y))) (*.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 #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 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) 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)))
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #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))) 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)))
#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)))
Calls

1 calls:

5.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
73.4%3(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes10.0ms (0.1%)

Memory
-17.6MiB live, 17.0MiB allocated
Counts
17 → 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 #s(approx (/ (sin x) x) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 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)))
#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 (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) #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) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) 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))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #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))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #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))) 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)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
Calls

1 calls:

9.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
73.4%3(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes11.0ms (0.1%)

Memory
25.8MiB live, 25.8MiB allocated
Counts
16 → 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 #s(approx (/ (sin x) x) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 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)))
#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 (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) #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) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) 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))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #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))) y))
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #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))) 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)))
#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))
Calls

2 calls:

5.0ms
x
4.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
65.4%2x
70.9%3(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 8 to 8 computations (0% saved)

regimes8.0ms (0.1%)

Memory
-23.6MiB live, 14.7MiB allocated
Counts
15 → 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 #s(approx (/ (sin x) x) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 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)))
#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 (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) #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) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) 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))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))) y)) x)
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)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 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))
Calls

1 calls:

6.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
68.7%3(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes19.0ms (0.2%)

Memory
3.7MiB live, 42.1MiB allocated
Counts
12 → 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 #s(approx (/ (sin x) x) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 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)))
#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 (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) #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) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) y)))
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)) (-.f64 #s(literal 1 binary64) y))) #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)))
Calls

4 calls:

6.0ms
x
4.0ms
y
4.0ms
(sinh.f64 y)
4.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
62.0%2x
55.9%3y
52.0%1(sinh.f64 y)
63.7%3(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes13.0ms (0.1%)

Memory
26.9MiB live, 26.9MiB allocated
Counts
8 → 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 #s(approx (/ (sin x) x) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 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)))
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:

3.0ms
y
3.0ms
x
3.0ms
(sinh.f64 y)
3.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
34.1%2(sinh.f64 y)
34.1%2y
44.1%2x
39.1%3(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes7.0ms (0.1%)

Memory
-39.6MiB live, 7.6MiB 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 #s(approx (/ (sin x) x) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 1 binary64))) y))
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)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
41.6%2x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes3.0ms (0%)

Memory
6.2MiB live, 6.2MiB allocated
Counts
4 → 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))
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:

2.0ms
x
Results
AccuracySegmentsBranch
41.1%2x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes2.0ms (0%)

Memory
3.1MiB live, 3.1MiB 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
40.9%2x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0.1%)

Memory
12.3MiB live, 12.3MiB 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
27.3%1y
27.3%1(sinh.f64 y)
27.3%1(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
27.3%1x
Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.753929582338095e-8
+inf
0.0ms
-inf
-2.785622923834582e-116
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
1.753929582338095e-8
+inf
0.0ms
-inf
-2.785622923834582e-116
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
1.753929582338095e-8
+inf
0.0ms
-inf
-2.785622923834582e-116
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
1.6379485264097985e-66
7.008658176755861e-66
0.0ms
-inf
-2.785622923834582e-116
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch13.0ms (0.1%)

Memory
-24.0MiB live, 13.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
8.93521687938572e+30
1.93531843706808e+31
Samples
7.0ms80×0valid
Compiler

Compiled 65 to 86 computations (-32.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-sin: 3.0ms (63.1% 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
1.1MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.810732057529357e-280
2.207037684648788e-265
0.0ms
-2.785622923834582e-116
-1.2056588105793368e-148
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.810732057529357e-280
2.207037684648788e-265
0.0ms
-2.785622923834582e-116
-1.2056588105793368e-148
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.810732057529357e-280
2.207037684648788e-265
0.0ms
-2.785622923834582e-116
-1.2056588105793368e-148
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.810732057529357e-280
2.207037684648788e-265
0.0ms
-2.3053005329291295e-207
-3.810047394514009e-209
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
6.810732057529357e-280
2.207037684648788e-265
0.0ms
-2.785622923834582e-116
-1.2056588105793368e-148
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
6.810732057529357e-280
2.207037684648788e-265
0.0ms
-2.785622923834582e-116
-1.2056588105793368e-148
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
6.810732057529357e-280
2.207037684648788e-265
0.0ms
-2.785622923834582e-116
-1.2056588105793368e-148
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
6.810732057529357e-280
2.207037684648788e-265
0.0ms
-2.3053005329291295e-207
-3.810047394514009e-209
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
6.810732057529357e-280
2.207037684648788e-265
0.0ms
-2.3053005329291295e-207
-3.810047394514009e-209
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch12.0ms (0.1%)

Memory
15.5MiB live, 15.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
11.0ms
9.865137980696726
57.58406445527332
Samples
7.0ms96×0valid
Compiler

Compiled 154 to 149 computations (3.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-sin: 3.0ms (57.4% of total)
ival-div: 1.0ms (19.1% of total)
ival-mult: 1.0ms (19.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-sinh: 0.0ms (0% of total)

bsearch22.0ms (0.2%)

Memory
-9.7MiB live, 28.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
21.0ms
1.6035678797774641e+50
1.1490237531976756e+58
Samples
15.0ms144×0valid
Compiler

Compiled 190 to 200 computations (-5.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-sin: 5.0ms (61.6% of total)
ival-div: 1.0ms (12.3% of total)
ival-mult: 1.0ms (12.3% of total)
ival-sinh: 1.0ms (12.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
8.93521687938572e+30
1.93531843706808e+31
Compiler

Compiled 85 to 101 computations (-18.8% saved)

bsearch10.0ms (0.1%)

Memory
13.1MiB live, 13.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
9.0ms
5.355521604993671e+19
1.1662396165218053e+20
Samples
6.0ms80×0valid
Compiler

Compiled 75 to 96 computations (-28% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-sin: 3.0ms (69.4% 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)

simplify41.0ms (0.4%)

Memory
-29.3MiB live, 92.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01891558
12361558
22491558
32571558
42611558
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 (sin.f64 x) (/.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 1/2 binary64) (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 (* (sin x) (/ 2 x)) #s(approx (+ (* -1/3 (* x x)) 2) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y))) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 3022314549036573/151115727451828646838272 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 (* (sin x) (/ 2 x)) #s(approx (+ (* -1/3 (* x x)) 2) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y))) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 3022314549036573/151115727451828646838272 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 #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) #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)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 3022314549036573/151115727451828646838272 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 #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) #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)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 3794275180128377/1897137590064188545819787018382342682267975428761855001222473056385648716020711424 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 13600000000000000945970841911296 binary64)) #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))))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -3549017208474643/177450860423732151013018507785157357019931972824052260810910693159335763699560039874558361990664932998233037501529828597054346100736 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (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)) 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)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 5109351192408883/5109351192408882717840314145374306729132675226714771306246520940639262443184548008409492391661147394788716663921132787824569441250287599771492279803609168436019214522754779331884896566897569247187592593266032445422926874765109428195555469487226993043218229521601935466604437747789680665415385088 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) (sinh.f64 y))))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -3549017208474643/177450860423732151013018507785157357019931972824052260810910693159335763699560039874558361990664932998233037501529828597054346100736 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (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)) 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)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 5109351192408883/5109351192408882717840314145374306729132675226714771306246520940639262443184548008409492391661147394788716663921132787824569441250287599771492279803609168436019214522754779331884896566897569247187592593266032445422926874765109428195555469487226993043218229521601935466604437747789680665415385088 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 (- (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)))))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -3549017208474643/177450860423732151013018507785157357019931972824052260810910693159335763699560039874558361990664932998233037501529828597054346100736 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (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) #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)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 5109351192408883/5109351192408882717840314145374306729132675226714771306246520940639262443184548008409492391661147394788716663921132787824569441250287599771492279803609168436019214522754779331884896566897569247187592593266032445422926874765109428195555469487226993043218229521601935466604437747789680665415385088 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 (- (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)))))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -5783580587434429/2891790293717214716875887454417538932071786405736015385275803577203398482289867263903614895099115516898199414270242812495998255990659472330369590362610632812985135197678301307466375242232528412389127536106326559094512549888 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)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 5109351192408883/5109351192408882717840314145374306729132675226714771306246520940639262443184548008409492391661147394788716663921132787824569441250287599771492279803609168436019214522754779331884896566897569247187592593266032445422926874765109428195555469487226993043218229521601935466604437747789680665415385088 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 (- (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)))))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -3549017208474643/177450860423732151013018507785157357019931972824052260810910693159335763699560039874558361990664932998233037501529828597054346100736 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #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))) y)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 5109351192408883/5109351192408882717840314145374306729132675226714771306246520940639262443184548008409492391661147394788716663921132787824569441250287599771492279803609168436019214522754779331884896566897569247187592593266032445422926874765109428195555469487226993043218229521601935466604437747789680665415385088 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 (- (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)))))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -3549017208474643/177450860423732151013018507785157357019931972824052260810910693159335763699560039874558361990664932998233037501529828597054346100736 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #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))) y)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 5109351192408883/5109351192408882717840314145374306729132675226714771306246520940639262443184548008409492391661147394788716663921132787824569441250287599771492279803609168436019214522754779331884896566897569247187592593266032445422926874765109428195555469487226993043218229521601935466604437747789680665415385088 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 (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -3549017208474643/177450860423732151013018507785157357019931972824052260810910693159335763699560039874558361990664932998233037501529828597054346100736 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #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))) y)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 5109351192408883/5109351192408882717840314145374306729132675226714771306246520940639262443184548008409492391661147394788716663921132787824569441250287599771492279803609168436019214522754779331884896566897569247187592593266032445422926874765109428195555469487226993043218229521601935466604437747789680665415385088 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) (+ (* (+ (* 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))))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -5783580587434429/2891790293717214716875887454417538932071786405736015385275803577203398482289867263903614895099115516898199414270242812495998255990659472330369590362610632812985135197678301307466375242232528412389127536106326559094512549888 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)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 5109351192408883/5109351192408882717840314145374306729132675226714771306246520940639262443184548008409492391661147394788716663921132787824569441250287599771492279803609168436019214522754779331884896566897569247187592593266032445422926874765109428195555469487226993043218229521601935466604437747789680665415385088 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) (+ (* (+ (* 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))))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -5783580587434429/2891790293717214716875887454417538932071786405736015385275803577203398482289867263903614895099115516898199414270242812495998255990659472330369590362610632812985135197678301307466375242232528412389127536106326559094512549888 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)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 5109351192408883/5109351192408882717840314145374306729132675226714771306246520940639262443184548008409492391661147394788716663921132787824569441250287599771492279803609168436019214522754779331884896566897569247187592593266032445422926874765109428195555469487226993043218229521601935466604437747789680665415385088 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 (- (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)))))
(if (<=.f64 x #s(literal 10 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 1220000000000000034264853247838494064205110228142784512 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)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal 13600000000000000945970841911296 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 115000000000000000000 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 (sin.f64 x) (/.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
(*.f64 (*.f64 (sinh.f64 y) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) 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 (* (sin x) (/ 2 x)) #s(approx (+ (* -1/3 (* x x)) 2) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y))) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 3022314549036573/151115727451828646838272 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 (* (sin x) (/ 2 x)) #s(approx (+ (* -1/3 (* x x)) 2) (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))) (*.f64 (sinh.f64 y) #s(literal 1/2 binary64))) (if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal 3022314549036573/151115727451828646838272 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #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 (* (sin x) (/ 2 x)) #s(approx (+ (* -1/3 (* x x)) 2) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y))) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 3022314549036573/151115727451828646838272 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 (* (sin x) (/ 2 x)) #s(approx (+ (* -1/3 (* x x)) 2) (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))) (*.f64 (sinh.f64 y) #s(literal 1/2 binary64))) (if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal 3022314549036573/151115727451828646838272 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 #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) #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)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 3022314549036573/151115727451828646838272 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 (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 #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) #s(literal 1 binary64)))) y)) (if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal 3022314549036573/151115727451828646838272 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 #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) #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)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 3794275180128377/1897137590064188545819787018382342682267975428761855001222473056385648716020711424 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))))
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(if (<=.f64 x #s(literal 13600000000000000945970841911296 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 115000000000000000000 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))

soundness2.1s (20.4%)

Memory
24.1MiB live, 1 251.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02595531
18595177
230324881
081904615
0113944
1373889
21224849
33021828
08122792
0616
01016
12716
211716
384016
0825716
063460
0101454
1345454
22245454
08254454
046346
076346
1269346
21660346
08364346
034154
055156
1169136
21051134
09076132
03375937
111425549
239215244
377785243
080504926
02534133
18053924
227763656
372343656
080043455
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 1 641 to 883 computations (46.2% saved)

preprocess538.0ms (5.2%)

Memory
-11.8MiB live, 476.6MiB allocated
Remove

(abs x)

Compiler

Compiled 2 544 to 702 computations (72.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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