Linear.Quaternion:$ccos from linear-1.19.1.3

Time bar (total: 11.6s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze14.0ms (0.1%)

Memory
24.7MiB live, 24.7MiB 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
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
93.8%93.7%6.2%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
96.9%96.8%3.1%0.1%0%0%0%12
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.3s (11.3%)

Memory
-12.6MiB live, 1 137.5MiB allocated
Samples
915.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 675.0ms
ival-sin: 270.0ms (40% of total)
ival-mult: 226.0ms (33.5% of total)
ival-div: 131.0ms (19.4% of total)
ival-sinh: 40.0ms (5.9% of total)
ival-true: 6.0ms (0.9% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain177.0ms (1.5%)

Memory
-26.3MiB live, 148.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(sinh.f64 y)
00-0-(/.f64 (sinh.f64 y) y)
00-0-y
00-0-(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
00-0-(sin.f64 x)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
38.0ms512×0valid
Compiler

Compiled 45 to 22 computations (51.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-sin: 11.0ms (42.8% of total)
ival-sinh: 7.0ms (27.2% of total)
ival-div: 4.0ms (15.6% of total)
ival-mult: 3.0ms (11.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess436.0ms (3.7%)

Memory
12.1MiB live, 205.8MiB allocated
Algorithm
egg-herbie
Rules
2 656×lower-fma.f64
2 656×lower-fma.f32
1 792×lower-*.f32
1 790×lower-*.f64
1 194×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01841
16041
217241
358037
4198837
5462837
6633637
7733137
8784337
067
0107
1197
2367
3747
41547
53027
67617
718007
830357
940317
1045167
1145947
1245977
1345997
1450197
1552397
1653597
1754937
1855977
1956377
2056537
2156617
2256617
2357797
2460177
2560537
2660537
2760537
060537
Stop Event
iter limit
saturated
iter limit
node limit
Calls
Call 1
Inputs
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Outputs
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
Symmetry

(abs y)

(negabs x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify312.0ms (2.7%)

Memory
11.0MiB live, 85.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sinh.f64 y)
cost-diff0
(/.f64 (sinh.f64 y) y)
cost-diff0
(sin.f64 x)
cost-diff0
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Rules
2 656×lower-fma.f64
2 656×lower-fma.f32
1 792×lower-*.f32
1 790×lower-*.f64
1 194×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0617
01017
11917
23617
37417
415417
530217
676117
7180017
8303517
9403117
10451617
11459417
12459717
13459917
14501917
15523917
16535917
17549317
18559717
19563717
20565317
21566117
22566117
23577917
24601717
25605317
26605317
27605317
0605317
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(sin.f64 x)
x
(/.f64 (sinh.f64 y) y)
(sinh.f64 y)
y
Outputs
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
(sin.f64 x)
x
(/.f64 (sinh.f64 y) y)
(sinh.f64 y)
y

localize22.0ms (0.2%)

Memory
21.7MiB live, 21.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 (sinh.f64 y) y)
accuracy0
(sin.f64 x)
accuracy0.0078125
(sinh.f64 y)
accuracy0.017910009768442016
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Samples
16.0ms256×0valid
Compiler

Compiled 19 to 8 computations (57.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-sin: 5.0ms (50.2% of total)
ival-div: 2.0ms (20.1% of total)
ival-mult: 1.0ms (10% of total)
ival-sinh: 1.0ms (10% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series47.0ms (0.4%)

Memory
-6.0MiB live, 38.7MiB allocated
Counts
4 → 60
Calls
Call 1
Inputs
#s(alt (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation:binary64>) () ())
#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation:binary64>) () ())
#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation:binary64>) () ())
#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation:binary64>) () ())
Outputs
#s(alt (sin x) (taylor 0 y) (#s(alt (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation:binary64>) () ())) ())
#s(alt (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) (taylor 0 y) (#s(alt (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<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) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation:binary64>) () ())) ())
#s(alt (+ (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) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation:binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* 1/6 (pow y 2))) (taylor 0 y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (taylor 0 y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) (taylor 0 y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation:binary64>) () ())) ())
#s(alt y (taylor 0 y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation:binary64>) () ())) ())
#s(alt (* y (+ 1 (* 1/6 (pow y 2)))) (taylor 0 y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation:binary64>) () ())) ())
#s(alt (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (taylor 0 y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation:binary64>) () ())) ())
#s(alt (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (taylor 0 y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf y) (#s(alt (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf y) (#s(alt (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf y) (#s(alt (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf y) (#s(alt (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor inf y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor inf y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor inf y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor inf y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor inf y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor inf y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor inf y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor inf y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf y) (#s(alt (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf y) (#s(alt (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf y) (#s(alt (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf y) (#s(alt (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor -inf y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor -inf y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor -inf y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor -inf y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor -inf y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor -inf y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor -inf y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor -inf y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) (taylor 0 x) (#s(alt (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation:binary64>) () ())) ())
#s(alt (* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))) (taylor 0 x) (#s(alt (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation:binary64>) () ())) ())
#s(alt (* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))) (taylor 0 x) (#s(alt (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation:binary64>) () ())) ())
#s(alt (* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y)))))))) (taylor 0 x) (#s(alt (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) 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)))) y)) (taylor inf x) (#s(alt (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf x) (#s(alt (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf x) (#s(alt (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf x) (#s(alt (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) 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)))) y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) 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
37.0ms
y
@-inf
((* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (sinh y))
3.0ms
y
@inf
((* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (sinh y))
2.0ms
x
@inf
((* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (sinh y))
1.0ms
y
@0
((* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (sinh y))
1.0ms
x
@0
((* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (sinh y))

simplify293.0ms (2.5%)

Memory
-3.7MiB live, 220.9MiB allocated
Algorithm
egg-herbie
Rules
15 526×lower-fma.f64
15 526×lower-fma.f32
6 162×lower-*.f64
6 162×lower-*.f32
2 900×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
092700
1288693
2903643
33157635
47386635
08545605
Stop Event
iter limit
node limit
Counts
60 → 58
Calls
Call 1
Inputs
(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) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
y
(* y (+ 1 (* 1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) 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)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(sin x)
(sin x)
(sin x)
(sin x)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(sin x)
(sin x)
(sin x)
(sin x)
Outputs
(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 (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 x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))
(*.f64 (sin.f64 x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
y
(* y (+ 1 (* 1/6 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) y)
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y)
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (/.f64 (sin.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (/.f64 (sin.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (/.f64 (sin.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (/.f64 (sin.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (/.f64 (sin.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (/.f64 (sin.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (/.f64 (sin.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (/.f64 (sin.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
(*.f64 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 (*.f64 #s(literal -1/12 binary64) x) x #s(literal 1/2 binary64))) x)
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))
(*.f64 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 x x)) (*.f64 x x) (fma.f64 (*.f64 #s(literal -1/12 binary64) x) x #s(literal 1/2 binary64)))) x)
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y))))))))
(fma.f64 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 (*.f64 #s(literal -1/12 binary64) x) x #s(literal 1/2 binary64))) x (*.f64 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 #s(literal -1/10080 binary64) (*.f64 x x) #s(literal 1/240 binary64))) (pow.f64 x #s(literal 5 binary64))))
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)))) y))
(*.f64 (*.f64 (/.f64 (sin.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (/.f64 (sin.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (/.f64 (sin.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (/.f64 (sin.f64 x) y) #s(literal 1/2 binary64)) (-.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)))) y))
(*.f64 (*.f64 (/.f64 (sin.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (/.f64 (sin.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (/.f64 (sin.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (/.f64 (sin.f64 x) y) #s(literal 1/2 binary64)) (-.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)

rewrite267.0ms (2.3%)

Memory
-0.7MiB live, 203.6MiB allocated
Rules
5 128×lower-*.f32
5 126×lower-*.f64
4 518×lower-/.f32
4 516×lower-/.f64
1 718×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
01015
12615
212115
387015
0838415
Stop Event
iter limit
node limit
iter limit
Counts
4 → 644
Calls
Call 1
Inputs
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(sin.f64 x)
(/.f64 (sinh.f64 y) y)
(sinh.f64 y)
Outputs
(*.f64 (/.f64 (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x)) (neg.f64 (*.f64 y y))) y)
(*.f64 (/.f64 (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x)) (neg.f64 (pow.f64 y #s(literal 3 binary64)))) (*.f64 y y))
(*.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) y) #s(literal 2 binary64)) (*.f64 (sinh.f64 y) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) y) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal -1/2 binary64))
(*.f64 (*.f64 (/.f64 (sin.f64 x) y) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))
(*.f64 (*.f64 (/.f64 (sin.f64 x) y) (*.f64 #s(literal -2 binary64) (sinh.f64 y))) #s(literal -1/2 binary64))
(*.f64 (*.f64 (/.f64 (sin.f64 x) y) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
(*.f64 (*.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (*.f64 (sin.f64 x) (pow.f64 (/.f64 y (sinh.f64 y)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 y (sinh.f64 y)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (sin.f64 x) (/.f64 #s(literal 2 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
(*.f64 (*.f64 (neg.f64 (sin.f64 x)) (*.f64 #s(literal -2 binary64) (sinh.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)) (/.f64 (sinh.f64 y) y))
(*.f64 (pow.f64 (/.f64 (/.f64 y (sin.f64 x)) (sinh.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 y (sin.f64 x)) (sinh.f64 y)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sinh.f64 y)))) (/.f64 (sin.f64 x) #s(literal -2 binary64)))
(*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal 2 binary64)) y) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) y) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (sinh.f64 y)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))
(*.f64 (/.f64 (sin.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 y)) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))) (/.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 y))))
(*.f64 (/.f64 (sin.f64 x) (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64))))) (/.f64 (pow.f64 y #s(literal -1 binary64)) (-.f64 (hypot.f64 (exp.f64 (neg.f64 y)) (exp.f64 y)) #s(literal -1 binary64))))
(*.f64 (/.f64 (sin.f64 x) (/.f64 #s(literal -1/2 binary64) (sinh.f64 y))) (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -2 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal 2 binary64)) (sinh.f64 y)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) (sinh.f64 y)) y)) (/.f64 (sin.f64 x) #s(literal -2 binary64)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 #s(literal 2 binary64) y)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 (/.f64 #s(literal -1/2 binary64) (sinh.f64 y)) y)) #s(literal -1/2 binary64))
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 y)) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))) (/.f64 (sin.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 y))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64))))) (/.f64 (sin.f64 x) (-.f64 (hypot.f64 (exp.f64 (neg.f64 y)) (exp.f64 y)) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (sinh.f64 y))) (/.f64 (sin.f64 x) #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 y)) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))) (/.f64 (/.f64 (sin.f64 x) y) (*.f64 #s(literal 2 binary64) (cosh.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64))))) (/.f64 (/.f64 (sin.f64 x) y) (-.f64 (hypot.f64 (exp.f64 (neg.f64 y)) (exp.f64 y)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal 2 binary64)) (sinh.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) y)))
(*.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 (*.f64 (/.f64 y (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 (sinh.f64 y)))
(*.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (sinh.f64 y) y)) #s(literal 1/2 binary64))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (/.f64 (sinh.f64 y) y)) (sin.f64 x)) #s(literal -1/2 binary64))
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(fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal -2 binary64)))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 y)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64)))) (pow.f64 (-.f64 (hypot.f64 (exp.f64 (neg.f64 y)) (exp.f64 y)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (-.f64 (hypot.f64 (exp.f64 (neg.f64 y)) (exp.f64 y)) #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (-.f64 (hypot.f64 (exp.f64 (neg.f64 y)) (exp.f64 y)) #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal -2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 y)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 (sinh.f64 y) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (sinh.f64 y) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 y)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 y)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (hypot.f64 (exp.f64 (neg.f64 y)) (exp.f64 y)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) (sinh.f64 y)) #s(literal -1 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (sinh.f64 y)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 y)) #s(literal 0 binary64))
(fma.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (-.f64 (hypot.f64 (exp.f64 (neg.f64 y)) (exp.f64 y)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 y)) #s(literal 1/4 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y))) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 y)) #s(literal -1 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) (sinh.f64 y)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))) #s(literal 0 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 y)) #s(literal 0 binary64))
(fma.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (exp.f64 y) #s(literal -3 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))))) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 (exp.f64 y)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 y))))
(fma.f64 (neg.f64 (exp.f64 y)) #s(literal -1/2 binary64) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)))
(fma.f64 (-.f64 (*.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (exp.f64 y))) #s(literal 1/4 binary64) #s(literal 0 binary64))
(fma.f64 (cosh.f64 y) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 #s(literal 4 binary64) (cosh.f64 y))) #s(literal 0 binary64))
(fma.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) #s(literal 0 binary64))
(fma.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 y)) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (cosh.f64 y))) #s(literal 0 binary64))
(fma.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 y)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (exp.f64 y)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 y)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 y)) (*.f64 #s(literal 1/2 binary64) (exp.f64 y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 y) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 y))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 y) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)))
(fma.f64 (-.f64 (hypot.f64 (exp.f64 (neg.f64 y)) (exp.f64 y)) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (fma.f64 (hypot.f64 (exp.f64 (neg.f64 y)) (exp.f64 y)) #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 (exp.f64 (neg.f64 y)) (exp.f64 y)) #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64))) (*.f64 (pow.f64 (-.f64 (hypot.f64 (exp.f64 (neg.f64 y)) (exp.f64 y)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (hypot.f64 (exp.f64 (neg.f64 y)) (exp.f64 y)) #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64))) (/.f64 (pow.f64 (-.f64 (hypot.f64 (exp.f64 (neg.f64 y)) (exp.f64 y)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) #s(literal 1 binary64) (*.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal -2 binary64) (*.f64 (sinh.f64 y) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) #s(literal -1/2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y))) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 #s(literal 1/2 binary64) (exp.f64 y)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (sinh.f64 y)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (exp.f64 y)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 y))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (sinh.f64 y) #s(literal 0 binary64))
(fma.f64 (neg.f64 (sinh.f64 y)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (sinh.f64 y)) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sinh.f64 y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 y)))
(fma.f64 (exp.f64 y) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 y))))
(fma.f64 (exp.f64 y) #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)))
(fma.f64 (sinh.f64 y) #s(literal 1 binary64) #s(literal 0 binary64))
(-.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)))) (/.f64 #s(literal 1/2 binary64) (exp.f64 y)))
(-.f64 (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 y))) (/.f64 #s(literal 1/2 binary64) (exp.f64 y)))
(-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 y)) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 (exp.f64 y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))) (/.f64 (*.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))))
(-.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))))) (/.f64 (*.f64 (pow.f64 (exp.f64 y) #s(literal -3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))))))
(-.f64 (/.f64 (*.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) (exp.f64 y)) #s(literal 4 binary64)))
(-.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (cosh.f64 y))) (/.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) (*.f64 #s(literal 4 binary64) (cosh.f64 y))))
(-.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (fma.f64 (hypot.f64 (exp.f64 (neg.f64 y)) (exp.f64 y)) #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 (pow.f64 (exp.f64 y) #s(literal -3 binary64)) (fma.f64 (hypot.f64 (exp.f64 (neg.f64 y)) (exp.f64 y)) #s(literal 2 binary64) #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 y))) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 y))) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (-.f64 (hypot.f64 (exp.f64 (neg.f64 y)) (exp.f64 y)) #s(literal -1 binary64))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal -3 binary64)) (-.f64 (hypot.f64 (exp.f64 (neg.f64 y)) (exp.f64 y)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(-.f64 (*.f64 (sinh.f64 #s(literal 0 binary64)) (cosh.f64 y)) (*.f64 (cosh.f64 #s(literal 0 binary64)) (sinh.f64 (neg.f64 y))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) (/.f64 #s(literal 1/2 binary64) (exp.f64 y)))
(-.f64 #s(literal 0 binary64) (neg.f64 (sinh.f64 y)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sinh.f64 y) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (-.f64 #s(literal 0 binary64) (*.f64 (exp.f64 y) #s(literal -1/2 binary64))) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)))
(+.f64 (*.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y))) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 y)) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) #s(literal 1 binary64)) (*.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 y))) (*.f64 #s(literal 1/2 binary64) (exp.f64 y)))
(+.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)))) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)))
(+.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)))) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)))
(+.f64 (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 y))) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)))
(+.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (exp.f64 y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 y))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)))
(+.f64 #s(literal 0 binary64) (sinh.f64 y))
(+.f64 (sinh.f64 y) #s(literal 0 binary64))

eval203.0ms (1.7%)

Memory
5.8MiB live, 164.6MiB allocated
Compiler

Compiled 12 446 to 2 074 computations (83.3% saved)

prune53.0ms (0.5%)

Memory
-7.4MiB live, 39.9MiB allocated
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New6948702
Fresh000
Picked101
Done000
Total6958703
Accuracy
100.0%
Counts
703 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
23.9%
(/.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))) (sinh.f64 y))
88.9%
(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) y)
54.5%
(*.f64 (sin.f64 x) (*.f64 (/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 (*.f64 y y))) y))
92.4%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
88.6%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
71.8%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
33.2%
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
48.2%
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
Compiler

Compiled 190 to 150 computations (21.1% saved)

simplify150.0ms (1.3%)

Memory
22.7MiB live, 98.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 (sin.f64 x))
cost-diff0
(/.f64 (neg.f64 (sin.f64 x)) y)
cost-diff256
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64))))
cost-diff13568
(/.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))) (sinh.f64 y))
cost-diff0
(/.f64 #s(literal 1/2 binary64) y)
cost-diff0
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
cost-diff0
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
cost-diff7040
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
cost-diff0
(sin.f64 x)
cost-diff0
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
cost-diff0
(sin.f64 x)
cost-diff0
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
cost-diff0
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
cost-diff0
(sin.f64 x)
cost-diff0
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
Rules
3 740×lower-*.f32
3 728×lower-*.f64
3 216×lower-/.f32
3 210×lower-/.f64
3 146×lower-fma.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
039269
067269
1121269
2273265
3898260
43403248
57845248
08041248
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(sin.f64 x)
x
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
#s(literal 1/5040 binary64)
(*.f64 y y)
y
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
(sin.f64 x)
x
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(sin.f64 x)
x
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
x
(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))
(exp.f64 y)
(exp.f64 (neg.f64 y))
(neg.f64 y)
(/.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))) (sinh.f64 y))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64))))
(/.f64 (neg.f64 (sin.f64 x)) y)
(neg.f64 (sin.f64 x))
(sin.f64 x)
x
y
(neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))
(pow.f64 (sinh.f64 y) #s(literal 2 binary64))
(sinh.f64 y)
#s(literal 2 binary64)
Outputs
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (sin.f64 x))
(sin.f64 x)
x
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
#s(literal 1/5040 binary64)
(*.f64 y y)
y
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
(sin.f64 x)
x
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (sin.f64 x))
(sin.f64 x)
x
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 x y) (sinh.f64 y)))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 (/.f64 x y) (sinh.f64 y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
x
(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))
(exp.f64 y)
(exp.f64 (neg.f64 y))
(neg.f64 y)
(/.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))) (sinh.f64 y))
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)) y) (sin.f64 x))
(/.f64 (neg.f64 (sin.f64 x)) y)
(neg.f64 (sin.f64 x))
(sin.f64 x)
x
y
(neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))
(pow.f64 (sinh.f64 y) #s(literal 2 binary64))
(sinh.f64 y)
#s(literal 2 binary64)

localize478.0ms (4.1%)

Memory
-16.7MiB live, 237.5MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(sinh.f64 y)
accuracy0.02734375
(/.f64 (neg.f64 (sin.f64 x)) y)
accuracy7.090830006696106
(/.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))) (sinh.f64 y))
accuracy7.5997496197070085
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64))))
accuracy0.125
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
accuracy5.679194882746965
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
accuracy13.951489439580012
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
accuracy27.477888503629046
(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))
accuracy0
(sin.f64 x)
accuracy0.00390625
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))
accuracy0.017910009768442016
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
accuracy0.3396740139474923
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
accuracy0
(sin.f64 x)
accuracy0.5838276100763331
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
accuracy0.00390625
(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))
accuracy0.00390625
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
accuracy0.017910009768442016
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
accuracy0.29792508014284513
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
Samples
214.0ms134×5exit
109.0ms74×1valid
34.0ms40×2valid
2.0ms0valid
Compiler

Compiled 206 to 38 computations (81.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 257.0ms
adjust: 107.0ms (41.6% of total)
ival-mult: 69.0ms (26.8% of total)
ival-exp: 24.0ms (9.3% of total)
const: 15.0ms (5.8% of total)
ival-add: 10.0ms (3.9% of total)
ival-div: 9.0ms (3.5% of total)
ival-sin: 7.0ms (2.7% of total)
ival-pow2: 5.0ms (1.9% of total)
ival-sub: 4.0ms (1.6% of total)
ival-neg: 4.0ms (1.6% of total)
ival-sinh: 3.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series47.0ms (0.4%)

Memory
-4.4MiB live, 104.9MiB allocated
Counts
21 → 360
Calls
Call 1
Inputs
#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation:binary64>) () ())
#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation:binary64>) () ())
#s(alt #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation:binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) #<representation:binary64>) () ())
#s(alt #s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) (patch #s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) #<representation:binary64>) () ())
#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation:binary64>) () ())
#s(alt #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation:binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) #<representation:binary64>) () ())
#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (patch (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) #<representation:binary64>) () ())
#s(alt #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (patch #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) #<representation:binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #<representation:binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) y) (patch (/.f64 #s(literal 1/2 binary64) y) #<representation:binary64>) () ())
#s(alt (/.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))) (sinh.f64 y)) (patch (/.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))) (sinh.f64 y)) #<representation:binary64>) () ())
#s(alt (*.f64 (/.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))) (patch (*.f64 (/.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))) #<representation:binary64>) () ())
#s(alt (/.f64 (neg.f64 (sin.f64 x)) y) (patch (/.f64 (neg.f64 (sin.f64 x)) y) #<representation:binary64>) () ())
#s(alt (neg.f64 (sin.f64 x)) (patch (neg.f64 (sin.f64 x)) #<representation:binary64>) () ())
#s(alt (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (patch (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #<representation:binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (patch (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)) #<representation:binary64>) () ())
#s(alt (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) #<representation:binary64>) () ())
#s(alt (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (patch (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #<representation:binary64>) () ())
#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation:binary64>) () ())
Outputs
#s(alt (sin x) (taylor 0 y) (#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) (taylor 0 y) (#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ())
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#s(alt (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)))) y)) (taylor -inf x) (#s(alt #s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) (patch #s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt #s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) (patch #s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt #s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) (patch #s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt #s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) (patch #s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (patch (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (patch (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (patch (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (patch (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (patch #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (patch #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (patch #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (patch #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))) (sinh.f64 y)) (patch (/.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))) (sinh.f64 y)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))) (sinh.f64 y)) (patch (/.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))) (sinh.f64 y)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))) (sinh.f64 y)) (patch (/.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))) (sinh.f64 y)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))) (sinh.f64 y)) (patch (/.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))) (sinh.f64 y)) #<representation:binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (sin x) (pow (- (exp y) (/ 1 (exp y))) 2)) y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))) (patch (*.f64 (/.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (sin x) (pow (- (exp y) (/ 1 (exp y))) 2)) y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))) (patch (*.f64 (/.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (sin x) (pow (- (exp y) (/ 1 (exp y))) 2)) y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))) (patch (*.f64 (/.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (sin x) (pow (- (exp y) (/ 1 (exp y))) 2)) y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))) (patch (*.f64 (/.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (sin x) y)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 (sin.f64 x)) y) (patch (/.f64 (neg.f64 (sin.f64 x)) y) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (sin x) y)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 (sin.f64 x)) y) (patch (/.f64 (neg.f64 (sin.f64 x)) y) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (sin x) y)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 (sin.f64 x)) y) (patch (/.f64 (neg.f64 (sin.f64 x)) y) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (sin x) y)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 (sin.f64 x)) y) (patch (/.f64 (neg.f64 (sin.f64 x)) y) #<representation:binary64>) () ())) ())
#s(alt (* -1 (sin x)) (taylor -inf x) (#s(alt (neg.f64 (sin.f64 x)) (patch (neg.f64 (sin.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (sin x)) (taylor -inf x) (#s(alt (neg.f64 (sin.f64 x)) (patch (neg.f64 (sin.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (sin x)) (taylor -inf x) (#s(alt (neg.f64 (sin.f64 x)) (patch (neg.f64 (sin.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (sin x)) (taylor -inf x) (#s(alt (neg.f64 (sin.f64 x)) (patch (neg.f64 (sin.f64 x)) #<representation:binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
8.0ms
y
@inf
((* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (* (sin x) (/ (sinh y) y)) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (* (sin x) (/ (sinh y) y)) (* (/ 1/2 y) x) (/ 1/2 y) (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (/ (neg (sin x)) y) (neg (sin x)) (+ (* 1/5040 (* y y)) 1/120) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (+ (* 1/120 (* y y)) 1/6) (- (exp y) (exp (neg y))) (sinh y))
8.0ms
y
@0
((* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (* (sin x) (/ (sinh y) y)) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (* (sin x) (/ (sinh y) y)) (* (/ 1/2 y) x) (/ 1/2 y) (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (/ (neg (sin x)) y) (neg (sin x)) (+ (* 1/5040 (* y y)) 1/120) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (+ (* 1/120 (* y y)) 1/6) (- (exp y) (exp (neg y))) (sinh y))
7.0ms
y
@-inf
((* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (* (sin x) (/ (sinh y) y)) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (* (sin x) (/ (sinh y) y)) (* (/ 1/2 y) x) (/ 1/2 y) (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (/ (neg (sin x)) y) (neg (sin x)) (+ (* 1/5040 (* y y)) 1/120) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (+ (* 1/120 (* y y)) 1/6) (- (exp y) (exp (neg y))) (sinh y))
3.0ms
x
@inf
((* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (* (sin x) (/ (sinh y) y)) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (* (sin x) (/ (sinh y) y)) (* (/ 1/2 y) x) (/ 1/2 y) (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (/ (neg (sin x)) y) (neg (sin x)) (+ (* 1/5040 (* y y)) 1/120) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (+ (* 1/120 (* y y)) 1/6) (- (exp y) (exp (neg y))) (sinh y))
3.0ms
x
@0
((* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (* (sin x) (/ (sinh y) y)) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (* (sin x) (/ (sinh y) y)) (* (/ 1/2 y) x) (/ 1/2 y) (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (/ (neg (sin x)) y) (neg (sin x)) (+ (* 1/5040 (* y y)) 1/120) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (+ (* 1/120 (* y y)) 1/6) (- (exp y) (exp (neg y))) (sinh y))

simplify194.0ms (1.7%)

Memory
12.1MiB live, 319.3MiB allocated
Algorithm
egg-herbie
Rules
10 236×lower-fma.f64
10 236×lower-fma.f32
5 236×lower-*.f64
5 236×lower-*.f32
3 242×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02654238
18384196
224493933
353133921
473843921
080513745
Stop Event
iter limit
node limit
Counts
360 → 357
Calls
Call 1
Inputs
(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) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(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) (+ (* 1/6 (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) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
x
(+ x (* 1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* 1/120 (* x (pow y 2))) (* 1/6 x))))
(+ x (* (pow y 2) (+ (* 1/6 x) (* (pow y 2) (+ (* 1/5040 (* x (pow y 2))) (* 1/120 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) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(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) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))
(* y (sin x))
(* y (+ (sin x) (* 1/3 (* (pow y 2) (sin x)))))
(* y (+ (sin x) (* (pow y 2) (+ (* 2/45 (* (pow y 2) (sin x))) (* 1/3 (sin x))))))
(* y (+ (sin x) (* (pow y 2) (+ (* 1/3 (sin x)) (* (pow y 2) (+ (* 1/315 (* (pow y 2) (sin x))) (* 2/45 (sin x))))))))
(* -1 (/ (sin x) y))
(* -1 (/ (sin x) y))
(* -1 (/ (sin x) y))
(* -1 (/ (sin x) y))
1/120
(+ 1/120 (* 1/5040 (pow y 2)))
(+ 1/120 (* 1/5040 (pow y 2)))
(+ 1/120 (* 1/5040 (pow y 2)))
1/6
(+ 1/6 (* 1/120 (pow y 2)))
(+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))
(+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))
1/6
(+ 1/6 (* 1/120 (pow y 2)))
(+ 1/6 (* 1/120 (pow y 2)))
(+ 1/6 (* 1/120 (pow y 2)))
(* 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))))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
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(- (exp y) (exp (* -1 y)))
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(- (exp y) (exp (* -1 y)))
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(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y))))))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
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(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y))))))))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
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(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y))))))))
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y))
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(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y))))))))
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(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y))))))))
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(* x (+ (* 1/4 (/ (pow (- (exp y) (/ 1 (exp y))) 2) y)) (* (pow x 2) (+ (* -1/24 (/ (pow (- (exp y) (/ 1 (exp y))) 2) y)) (* 1/480 (/ (* (pow x 2) (pow (- (exp y) (/ 1 (exp y))) 2)) y))))))
(* x (+ (* 1/4 (/ (pow (- (exp y) (/ 1 (exp y))) 2) y)) (* (pow x 2) (+ (* -1/24 (/ (pow (- (exp y) (/ 1 (exp y))) 2) y)) (* (pow x 2) (+ (* -1/20160 (/ (* (pow x 2) (pow (- (exp y) (/ 1 (exp y))) 2)) y)) (* 1/480 (/ (pow (- (exp y) (/ 1 (exp y))) 2) y))))))))
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(sin x)
(sin x)
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(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
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(* -1 (sin x))
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Outputs
(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 (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 x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))
(fma.f64 (*.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 y y) (sin.f64 x))
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(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 (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 x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))
(fma.f64 (*.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 y y) (sin.f64 x))
(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))
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(neg.f64 (sin.f64 x))
(* -1 (sin x))
(neg.f64 (sin.f64 x))
(* -1 (sin x))
(neg.f64 (sin.f64 x))
(* -1 (sin x))
(neg.f64 (sin.f64 x))

rewrite220.0ms (1.9%)

Memory
0.8MiB live, 438.9MiB allocated
Rules
5 556×lower-fma.f32
5 546×lower-fma.f64
4 212×lower-/.f32
4 206×lower-/.f64
4 206×lower-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
039223
067217
1225217
21478200
08426200
Stop Event
iter limit
node limit
iter limit
Counts
21 → 650
Calls
Call 1
Inputs
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(sin.f64 x)
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))) (sinh.f64 y))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64))))
(/.f64 (neg.f64 (sin.f64 x)) y)
(neg.f64 (sin.f64 x))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
(fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))
(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))
(sinh.f64 y)
Outputs
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (sin.f64 x))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 x)))
(*.f64 #s(literal 1 binary64) (sin.f64 x))
(*.f64 (sin.f64 x) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 x) (sin.f64 x) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 x))))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (sin.f64 x)))
(neg.f64 (neg.f64 (sin.f64 x)))
(sin.f64 x)
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 x)))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (sin.f64 x))
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y)))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y))))))
(*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64))) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)))) (*.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64))) (pow.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64))) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64))) (pow.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y))))
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(/.f64 (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64))) (neg.f64 (sinh.f64 y)))
(/.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)) (sinh.f64 y))
(/.f64 (sinh.f64 y) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) (-.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (hypot.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1 binary64))) (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sinh.f64 y) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 y) (pow.f64 (sinh.f64 y) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (sinh.f64 y) #s(literal -1 binary64)))
(sinh.f64 y)
(neg.f64 (neg.f64 (sinh.f64 y)))
(fma.f64 (exp.f64 y) #s(literal 1/2 binary64) (neg.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))) (/.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))))
(-.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 (hypot.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1 binary64)))) (/.f64 (pow.f64 (exp.f64 y) #s(literal -3 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 (hypot.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (+.f64 (hypot.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal -3 binary64)) (+.f64 (hypot.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1 binary64))) #s(literal 2 binary64)))
(-.f64 (/.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(-.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (sinh.f64 y) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (sinh.f64 y)))
(exp.f64 (-.f64 (*.f64 (log.f64 (sinh.f64 y)) #s(literal 2 binary64)) (log.f64 (sinh.f64 y))))
(exp.f64 (log.f64 (sinh.f64 y)))
(+.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64))))

eval253.0ms (2.2%)

Memory
18.0MiB live, 326.5MiB allocated
Compiler

Compiled 24 619 to 3 109 computations (87.4% saved)

prune146.0ms (1.3%)

Memory
-41.1MiB live, 105.4MiB allocated
Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New1 128141 142
Fresh033
Picked415
Done000
Total1 132181 150
Accuracy
100.0%
Counts
1 150 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.9%
(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) y)
54.5%
(*.f64 (sin.f64 x) (*.f64 (/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 (*.f64 y y))) y))
92.3%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
71.8%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
88.3%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
58.0%
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
91.3%
#s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) (fma.f64 (*.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 y y) (sin.f64 x)))
66.1%
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x))
56.6%
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))))))
52.6%
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #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))))
51.1%
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.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))))
44.7%
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y))))
26.7%
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 #s(literal 2 binary64) y))))
48.2%
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
53.7%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) x)))
48.3%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)))
35.7%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (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)))
32.0%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))
Compiler

Compiled 513 to 386 computations (24.8% saved)

simplify102.0ms (0.9%)

Memory
29.9MiB live, 107.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff320
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))
cost-diff320
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))
cost-diff640
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))))
cost-diff1088
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))))
cost-diff0
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
cost-diff0
(sin.f64 x)
cost-diff0
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
cost-diff0
(/.f64 #s(literal 1/2 binary64) y)
cost-diff0
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
cost-diff0
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.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)))
cost-diff0
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.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))))
cost-diff0
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)
cost-diff0
#s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
cost-diff0
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)))
cost-diff0
(fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
cost-diff0
(sin.f64 x)
cost-diff0
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
Rules
3 966×lower-*.f32
3 944×lower-*.f64
2 990×lower-fma.f32
2 980×lower-fma.f64
1 876×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053449
079435
1142425
2310413
3940399
42908399
08231394
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(sin.f64 x)
x
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64))
#s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y)))
(*.f64 #s(literal 1/5040 binary64) (*.f64 y y))
#s(literal 1/5040 binary64)
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)))
#s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) 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)
x
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.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))))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.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)))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
x
#s(approx (- (exp y) (exp (neg y))) (*.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))
(*.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)
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64))
(fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64))
#s(literal 1/60 binary64)
(*.f64 y y)
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(sin.f64 x)
x
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))))))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
x
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))))
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))
(*.f64 #s(literal 2 binary64) (sinh.f64 y))
(sinh.f64 y)
Outputs
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (sin.f64 x))
(sin.f64 x)
x
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64))
(fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64))
#s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y)))
#s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))
(*.f64 #s(literal 1/5040 binary64) (*.f64 y y))
(*.f64 (*.f64 y y) #s(literal 1/5040 binary64))
#s(literal 1/5040 binary64)
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x)))
#s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x)
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(literal 1 binary64)
x
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.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))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.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)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.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)))
(*.f64 #s(approx (- (exp y) (exp (neg y))) (*.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)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
x
#s(approx (- (exp y) (exp (neg y))) (*.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))
(*.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)
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64))
(fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64))
#s(literal 1/60 binary64)
(*.f64 y y)
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (sin.f64 x))
(sin.f64 x)
x
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
#s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 x y) (sinh.f64 y)))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))))
(*.f64 (/.f64 x y) (sinh.f64 y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
x
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))))
(*.f64 (sinh.f64 y) #s(literal 2 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))
(/.f64 #s(literal 1/2 binary64) (sinh.f64 y))
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))
(*.f64 #s(literal 4 binary64) (sinh.f64 y))
(*.f64 #s(literal 2 binary64) (sinh.f64 y))
(*.f64 (sinh.f64 y) #s(literal 2 binary64))
(sinh.f64 y)

localize622.0ms (5.3%)

Memory
-8.9MiB live, 426.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0859375
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))))
accuracy0.125
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
accuracy5.679194882746965
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))))
accuracy13.951489439580012
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))))))
accuracy0
(*.f64 y y)
accuracy0
(sin.f64 x)
accuracy0.017910009768442016
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
accuracy0.3783966862273588
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
accuracy0.125
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
accuracy0.34264687522613074
#s(approx (- (exp y) (exp (neg y))) (*.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))
accuracy5.679194882746965
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.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)))
accuracy13.951489439580012
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.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))))
accuracy0
(*.f64 y y)
accuracy0.0078125
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)
accuracy0.38167636463054755
#s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
accuracy13.951489439580012
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)))
accuracy0.017910009768442016
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
accuracy0.05078125
(*.f64 #s(literal 1/5040 binary64) (*.f64 y y))
accuracy0.29792508014284513
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
accuracy29.12966169778943
#s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y)))
Samples
406.0ms134×5exit
75.0ms74×1valid
70.0ms40×2valid
3.0ms0valid
Compiler

Compiled 279 to 43 computations (84.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 357.0ms
adjust: 131.0ms (36.7% of total)
ival-mult: 87.0ms (24.4% of total)
const: 53.0ms (14.8% of total)
ival-sin: 36.0ms (10.1% of total)
ival-exp: 24.0ms (6.7% of total)
ival-add: 13.0ms (3.6% of total)
ival-div: 6.0ms (1.7% of total)
ival-sub: 4.0ms (1.1% of total)
ival-neg: 1.0ms (0.3% of total)
ival-sinh: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series174.0ms (1.5%)

Memory
-14.9MiB live, 70.2MiB allocated
Counts
23 → 396
Calls
Call 1
Inputs
#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation:binary64>) () ())
#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation:binary64>) () ())
#s(alt #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation:binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) #<representation:binary64>) () ())
#s(alt #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))) (patch #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))) #<representation:binary64>) () ())
#s(alt #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) (patch #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) #<representation:binary64>) () ())
#s(alt (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) #<representation:binary64>) () ())
#s(alt (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #<representation:binary64>) () ())
#s(alt #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.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)))) (patch #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.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)))) #<representation:binary64>) () ())
#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.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))) (patch (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.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))) #<representation:binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #<representation:binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) y) (patch (/.f64 #s(literal 1/2 binary64) y) #<representation:binary64>) () ())
#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) #<representation:binary64>) () ())
#s(alt #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) #<representation:binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))) #<representation:binary64>) () ())
#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))))) (patch (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))))) #<representation:binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) (patch (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) #<representation:binary64>) () ())
#s(alt (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (patch (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #<representation:binary64>) () ())
#s(alt #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (patch #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) #<representation:binary64>) () ())
#s(alt (*.f64 #s(literal 1/5040 binary64) (*.f64 y y)) (patch (*.f64 #s(literal 1/5040 binary64) (*.f64 y y)) #<representation:binary64>) () ())
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation:binary64>) () ())
#s(alt #s(approx (- (exp y) (exp (neg y))) (*.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)) (patch #s(approx (- (exp y) (exp (neg y))) (*.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)) #<representation:binary64>) () ())
#s(alt #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))))) (patch #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))))) #<representation:binary64>) () ())
Outputs
#s(alt (sin x) (taylor 0 y) (#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) (taylor 0 y) (#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<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) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (+ (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) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ())
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#s(alt (* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) (taylor -inf x) (#s(alt #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) (patch #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) (taylor -inf x) (#s(alt #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) (patch #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) (taylor -inf x) (#s(alt #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) (patch #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) (taylor -inf x) (#s(alt #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) (patch #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) #<representation:binary64>) () ())) ())
#s(alt (* 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)) x) (patch (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) #<representation:binary64>) () ())) ())
#s(alt (* 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)) x) (patch (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) #<representation:binary64>) () ())) ())
#s(alt (* 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)) x) (patch (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) #<representation:binary64>) () ())) ())
#s(alt (* 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)) x) (patch (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.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)))) (patch #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.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)))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.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)))) (patch #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.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)))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.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)))) (patch #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.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)))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.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)))) (patch #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.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)))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.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))) (patch (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.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))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.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))) (patch (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.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))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.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))) (patch (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.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))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.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))) (patch (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.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))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))))) (patch (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))))) (patch (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))))) (patch (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))))) (patch (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))))) (patch #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))))) (patch #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))))) (patch #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))))) (patch #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))))) #<representation:binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
76.0ms
y
@-inf
((* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (* (sin x) (/ (sinh y) y)) (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (* (+ (* (* y y) 1/6) 1) x) (+ (* (* y y) 1/6) 1) (* (sin x) (/ (sinh y) y)) (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (* (/ 1/2 y) x) (/ 1/2 y) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (/ 2 (* 2 (* 2 (sinh y)))) (* 2 (* 2 (sinh y))) (+ (* 1/5040 (* y y)) 1/120) (* 1/5040 (* y y)) (* y y) (- (exp y) (exp (neg y))) (* (sin x) (/ (sinh y) y)))
9.0ms
x
@0
((* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (* (sin x) (/ (sinh y) y)) (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (* (+ (* (* y y) 1/6) 1) x) (+ (* (* y y) 1/6) 1) (* (sin x) (/ (sinh y) y)) (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (* (/ 1/2 y) x) (/ 1/2 y) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (/ 2 (* 2 (* 2 (sinh y)))) (* 2 (* 2 (sinh y))) (+ (* 1/5040 (* y y)) 1/120) (* 1/5040 (* y y)) (* y y) (- (exp y) (exp (neg y))) (* (sin x) (/ (sinh y) y)))
5.0ms
y
@inf
((* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (* (sin x) (/ (sinh y) y)) (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (* (+ (* (* y y) 1/6) 1) x) (+ (* (* y y) 1/6) 1) (* (sin x) (/ (sinh y) y)) (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (* (/ 1/2 y) x) (/ 1/2 y) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (/ 2 (* 2 (* 2 (sinh y)))) (* 2 (* 2 (sinh y))) (+ (* 1/5040 (* y y)) 1/120) (* 1/5040 (* y y)) (* y y) (- (exp y) (exp (neg y))) (* (sin x) (/ (sinh y) y)))
3.0ms
x
@-inf
((* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (* (sin x) (/ (sinh y) y)) (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (* (+ (* (* y y) 1/6) 1) x) (+ (* (* y y) 1/6) 1) (* (sin x) (/ (sinh y) y)) (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (* (/ 1/2 y) x) (/ 1/2 y) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (/ 2 (* 2 (* 2 (sinh y)))) (* 2 (* 2 (sinh y))) (+ (* 1/5040 (* y y)) 1/120) (* 1/5040 (* y y)) (* y y) (- (exp y) (exp (neg y))) (* (sin x) (/ (sinh y) y)))
2.0ms
y
@0
((* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (* (sin x) (/ (sinh y) y)) (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (* (+ (* (* y y) 1/6) 1) x) (+ (* (* y y) 1/6) 1) (* (sin x) (/ (sinh y) y)) (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (* (/ 1/2 y) x) (/ 1/2 y) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (/ 2 (* 2 (* 2 (sinh y)))) (* 2 (* 2 (sinh y))) (+ (* 1/5040 (* y y)) 1/120) (* 1/5040 (* y y)) (* y y) (- (exp y) (exp (neg y))) (* (sin x) (/ (sinh y) y)))

simplify314.0ms (2.7%)

Memory
1.5MiB live, 351.2MiB allocated
Algorithm
egg-herbie
Rules
16 234×lower-fma.f64
16 234×lower-fma.f32
6 446×lower-*.f64
6 446×lower-*.f32
3 176×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02024390
16024355
216704139
345794093
087023926
Stop Event
iter limit
node limit
Counts
396 → 391
Calls
Call 1
Inputs
(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) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(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) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))
x
(+ x (* 1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* 1/120 (* x (pow y 2))) (* 1/6 x))))
(+ x (* (pow y 2) (+ (* 1/6 x) (* (pow y 2) (+ (* 1/5040 (* x (pow y 2))) (* 1/120 x))))))
x
(+ x (* 1/6 (* x (pow y 2))))
(+ x (* 1/6 (* x (pow y 2))))
(+ x (* 1/6 (* x (pow y 2))))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* 1/6 (pow y 2)))
(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) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))
x
(+ x (* 1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* 1/120 (* x (pow y 2))) (* 1/6 x))))
(+ x (* (pow y 2) (+ (* 1/6 x) (* (pow y 2) (+ (* 1/5040 (* x (pow y 2))) (* 1/120 x))))))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(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) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(* 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))))))))
x
(+ x (* 1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* 1/120 (* x (pow y 2))) (* 1/6 x))))
(+ x (* (pow y 2) (+ (* 1/6 x) (* (pow y 2) (+ (* 1/5040 (* x (pow y 2))) (* 1/120 x))))))
(/ 1/2 y)
(/ (+ 1/2 (* -1/12 (pow y 2))) y)
(/ (+ 1/2 (* (pow y 2) (- (* 7/720 (pow y 2)) 1/12))) y)
(/ (+ 1/2 (* (pow y 2) (- (* (pow y 2) (+ 7/720 (* -31/30240 (pow y 2)))) 1/12))) y)
(* 4 y)
(* y (+ 4 (* 2/3 (pow y 2))))
(* y (+ 4 (* (pow y 2) (+ 2/3 (* 1/30 (pow y 2))))))
(* y (+ 4 (* (pow y 2) (+ 2/3 (* (pow y 2) (+ 1/30 (* 1/1260 (pow y 2))))))))
1/120
(+ 1/120 (* 1/5040 (pow y 2)))
(+ 1/120 (* 1/5040 (pow y 2)))
(+ 1/120 (* 1/5040 (pow y 2)))
(* 1/5040 (pow y 2))
(* 1/5040 (pow y 2))
(* 1/5040 (pow y 2))
(* 1/5040 (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(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))))))))
(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) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/5040 (pow y 6))
(* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y))
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y))
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y))
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y))
(* 1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* 1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* 1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* 1/6 x) (/ x (pow y 2))))
(* 1/6 (pow y 2))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y))
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y))
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y))
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(- (exp y) (/ 1 (exp y)))
(- (exp y) (/ 1 (exp y)))
(- (exp y) (/ 1 (exp y)))
(- (exp y) (/ 1 (exp y)))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(/ 1 (- (exp y) (/ 1 (exp y))))
(/ 1 (- (exp y) (/ 1 (exp y))))
(/ 1 (- (exp y) (/ 1 (exp y))))
(/ 1 (- (exp y) (/ 1 (exp y))))
(* 2 (- (exp y) (/ 1 (exp y))))
(* 2 (- (exp y) (/ 1 (exp y))))
(* 2 (- (exp y) (/ 1 (exp y))))
(* 2 (- (exp y) (/ 1 (exp y))))
(* 1/5040 (pow y 2))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* 1/5040 (pow y 2))
(* 1/5040 (pow y 2))
(* 1/5040 (pow y 2))
(* 1/5040 (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(- (exp y) (exp (neg y)))
(- (exp y) (exp (neg y)))
(- (exp y) (exp (neg y)))
(- (exp y) (exp (neg y)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/5040 (pow y 6))
(* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* x (- (exp y) (exp (* -1 y)))) y))
(* 1/2 (/ (* x (- (exp y) (exp (* -1 y)))) y))
(* 1/2 (/ (* x (- (exp y) (exp (* -1 y)))) y))
(* 1/2 (/ (* x (- (exp y) (exp (* -1 y)))) y))
(* 1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* 1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* 1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* 1/6 x) (/ x (pow y 2))))
(* 1/6 (pow y 2))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* x (- (exp y) (exp (* -1 y)))) y))
(* 1/2 (/ (* x (- (exp y) (exp (* -1 y)))) y))
(* 1/2 (/ (* x (- (exp y) (exp (* -1 y)))) y))
(* 1/2 (/ (* x (- (exp y) (exp (* -1 y)))) y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(- (exp y) (/ 1 (exp y)))
(- (exp y) (/ 1 (exp y)))
(- (exp y) (/ 1 (exp y)))
(- (exp y) (/ 1 (exp y)))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(/ 1 (- (exp y) (/ 1 (exp y))))
(/ 1 (- (exp y) (/ 1 (exp y))))
(/ 1 (- (exp y) (/ 1 (exp y))))
(/ 1 (- (exp y) (/ 1 (exp y))))
(* 2 (- (exp y) (/ 1 (exp y))))
(* 2 (- (exp y) (/ 1 (exp y))))
(* 2 (- (exp y) (/ 1 (exp y))))
(* 2 (- (exp y) (/ 1 (exp y))))
(* 1/5040 (pow y 2))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* 1/5040 (pow y 2))
(* 1/5040 (pow y 2))
(* 1/5040 (pow y 2))
(* 1/5040 (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(- (exp y) (exp (* -1 y)))
(- (exp y) (exp (* -1 y)))
(- (exp y) (exp (* -1 y)))
(- (exp y) (exp (* -1 y)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) 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 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y))))))))
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y))
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y))
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y))
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y))
(* x (+ 1 (* 1/6 (pow y 2))))
(* x (+ 1 (* 1/6 (pow y 2))))
(* x (+ 1 (* 1/6 (pow y 2))))
(* x (+ 1 (* 1/6 (pow y 2))))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y))))))))
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y))
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y))
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y))
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y))))))))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y))))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(sin x)
(sin x)
(sin x)
(sin x)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y))
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y))
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y))
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y))
(* x (+ 1 (* 1/6 (pow y 2))))
(* x (+ 1 (* 1/6 (pow y 2))))
(* x (+ 1 (* 1/6 (pow y 2))))
(* x (+ 1 (* 1/6 (pow y 2))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y))
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y))
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y))
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(sin x)
(sin x)
(sin x)
(sin x)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y))
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y))
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y))
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y))
(* x (+ 1 (* 1/6 (pow y 2))))
(* x (+ 1 (* 1/6 (pow y 2))))
(* x (+ 1 (* 1/6 (pow y 2))))
(* x (+ 1 (* 1/6 (pow y 2))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y))
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y))
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y))
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
Outputs
(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 (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 x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))
(*.f64 (sin.f64 x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(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 (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 x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))
(*.f64 (sin.f64 x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
x
(+ x (* 1/6 (* x (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)
(+ x (* (pow y 2) (+ (* 1/120 (* x (pow y 2))) (* 1/6 x))))
(*.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)))
(+ x (* (pow y 2) (+ (* 1/6 x) (* (pow y 2) (+ (* 1/5040 (* x (pow y 2))) (* 1/120 x))))))
(fma.f64 (*.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 y y) x)
x
(+ x (* 1/6 (* x (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)
(+ x (* 1/6 (* x (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)
(+ x (* 1/6 (* x (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(+ 1 (* 1/6 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(+ 1 (* 1/6 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(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 (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 x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))
(*.f64 (sin.f64 x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
x
(+ x (* 1/6 (* x (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)
(+ x (* (pow y 2) (+ (* 1/120 (* x (pow y 2))) (* 1/6 x))))
(*.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)))
(+ x (* (pow y 2) (+ (* 1/6 x) (* (pow y 2) (+ (* 1/5040 (* x (pow y 2))) (* 1/120 x))))))
(fma.f64 (*.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 y y) x)
(* 1/2 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(* 1/2 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(* 1/2 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(* 1/2 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) 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 (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 x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))
(*.f64 (sin.f64 x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(* 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)
x
(+ x (* 1/6 (* x (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)
(+ x (* (pow y 2) (+ (* 1/120 (* x (pow y 2))) (* 1/6 x))))
(*.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)))
(+ x (* (pow y 2) (+ (* 1/6 x) (* (pow y 2) (+ (* 1/5040 (* x (pow y 2))) (* 1/120 x))))))
(fma.f64 (*.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 y y) x)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ (+ 1/2 (* -1/12 (pow y 2))) y)
(/.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y)
(/ (+ 1/2 (* (pow y 2) (- (* 7/720 (pow y 2)) 1/12))) y)
(/.f64 (fma.f64 (fma.f64 #s(literal 7/720 binary64) (*.f64 y y) #s(literal -1/12 binary64)) (*.f64 y y) #s(literal 1/2 binary64)) y)
(/ (+ 1/2 (* (pow y 2) (- (* (pow y 2) (+ 7/720 (* -31/30240 (pow y 2)))) 1/12))) y)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -31/30240 binary64) (*.f64 y y) #s(literal 7/720 binary64)) (*.f64 y y) #s(literal -1/12 binary64)) (*.f64 y y) #s(literal 1/2 binary64)) y)
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* y (+ 4 (* 2/3 (pow y 2))))
(*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 y y) #s(literal 4 binary64)) y)
(* y (+ 4 (* (pow y 2) (+ 2/3 (* 1/30 (pow y 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/30 binary64) (*.f64 y y) #s(literal 2/3 binary64)) (*.f64 y y) #s(literal 4 binary64)) y)
(* y (+ 4 (* (pow y 2) (+ 2/3 (* (pow y 2) (+ 1/30 (* 1/1260 (pow y 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/1260 binary64) (*.f64 y y) #s(literal 1/30 binary64)) (*.f64 y y) #s(literal 2/3 binary64)) (*.f64 y y) #s(literal 4 binary64)) y)
1/120
#s(literal 1/120 binary64)
(+ 1/120 (* 1/5040 (pow y 2)))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
(+ 1/120 (* 1/5040 (pow y 2)))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
(+ 1/120 (* 1/5040 (pow y 2)))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
(* 1/5040 (pow y 2))
(*.f64 #s(literal 1/5040 binary64) (*.f64 y y))
(* 1/5040 (pow y 2))
(*.f64 #s(literal 1/5040 binary64) (*.f64 y y))
(* 1/5040 (pow y 2))
(*.f64 #s(literal 1/5040 binary64) (*.f64 y y))
(* 1/5040 (pow y 2))
(*.f64 #s(literal 1/5040 binary64) (*.f64 y y))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(* 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)
(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 (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 x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))
(*.f64 (sin.f64 x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) #s(literal 1/2 binary64))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) #s(literal 1/2 binary64))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) #s(literal 1/2 binary64))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) #s(literal 1/2 binary64))
(* 1/5040 (pow y 6))
(*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/5040 binary64))
(* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64))) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64))) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* 1/6 (* x (pow y 2)))
(*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64))
(* (pow y 2) (+ (* 1/6 x) (/ x (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)
(* (pow y 2) (+ (* 1/6 x) (/ x (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)
(* (pow y 2) (+ (* 1/6 x) (/ x (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)
(* 1/6 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/6 binary64))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) 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) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* x (+ 1 (* 1/6 (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)
(* x (+ 1 (* 1/6 (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)
(* x (+ 1 (* 1/6 (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)
(* x (+ 1 (* 1/6 (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* 1/2 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(* 1/2 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(* 1/2 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(* 1/2 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) y))

rewrite285.0ms (2.4%)

Memory
-7.0MiB live, 442.7MiB allocated
Rules
5 520×lower-fma.f32
5 510×lower-fma.f64
4 260×lower-/.f32
4 254×lower-/.f64
4 042×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053346
079320
1263312
21650296
08249292
Stop Event
iter limit
node limit
iter limit
Counts
23 → 548
Calls
Call 1
Inputs
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(sin.f64 x)
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)))
#s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.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))))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.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)))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(/.f64 #s(literal 1/2 binary64) y)
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))
#s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y)))
(*.f64 #s(literal 1/5040 binary64) (*.f64 y y))
(*.f64 y y)
#s(approx (- (exp y) (exp (neg y))) (*.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))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))))))
Outputs
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (sin.f64 x))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (sin.f64 x))
(*.f64 (sin.f64 x) #s(literal 1 binary64))
(sin.f64 x)
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y)))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y)))))))
(*.f64 (fma.f64 (pow.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y)) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y))))))
(*.f64 (fma.f64 (pow.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (pow.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y)))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #s(literal -1 binary64))
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(+.f64 (*.f64 #s(literal 2 binary64) (exp.f64 y)) (/.f64 #s(literal 2 binary64) (neg.f64 (exp.f64 y))))
#s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))
(*.f64 (*.f64 #s(literal 1/5040 binary64) y) y)
(*.f64 (*.f64 y y) #s(literal 1/5040 binary64))
(*.f64 #s(literal 1/5040 binary64) (*.f64 y y))
(*.f64 y (*.f64 #s(literal 1/5040 binary64) y))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(*.f64 (*.f64 y y) #s(literal 1 binary64))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
#s(approx (- (exp y) (exp (neg y))) (*.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))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x))

eval149.0ms (1.3%)

Memory
28.0MiB live, 414.3MiB allocated
Compiler

Compiled 23 954 to 2 834 computations (88.2% saved)

prune57.0ms (0.5%)

Memory
3.0MiB live, 171.9MiB allocated
Pruning

30 alts after pruning (27 fresh and 3 done)

PrunedKeptTotal
New1 184181 202
Fresh3912
Picked325
Done011
Total1 190301 220
Accuracy
100.0%
Counts
1 220 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.9%
(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) y)
54.5%
(*.f64 (sin.f64 x) (*.f64 (/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 (*.f64 y y))) y))
92.3%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
71.8%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
88.3%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
27.1%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
58.0%
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
48.5%
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
91.3%
#s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) (fma.f64 (*.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 y y) (sin.f64 x)))
49.3%
#s(approx (* (sin x) (/ (sinh y) y)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (- (exp y) (exp (neg y))) (*.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))
66.0%
#s(approx (* (sin x) (/ (sinh y) y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)) y)))
49.3%
#s(approx (* (sin x) (/ (sinh y) y)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.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)) x))))
51.2%
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (- (exp y) (exp (neg y))) (*.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))))
66.1%
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x))
50.3%
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #s(approx (- (exp y) (exp (neg y))) (*.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))))
26.4%
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* 2 (* 2 (sinh y)))) (/.f64 (fma.f64 (fma.f64 #s(literal 7/720 binary64) (*.f64 y y) #s(literal -1/12 binary64)) (*.f64 y y) #s(literal 1/2 binary64)) y)))))
26.3%
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* 2 (* 2 (sinh y)))) (/.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y)))))
52.6%
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh 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))))
26.7%
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 #s(literal 2 binary64) y))))
60.2%
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.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)) (/.f64 #s(literal 1/2 binary64) y)) x))
48.2%
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
60.4%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.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 y y) x)))
59.5%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.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)))))
53.7%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) x)))
48.3%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) x)))
24.9%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) x)))
26.9%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x)))
24.9%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)))))
35.7%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (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)))
32.0%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))
Compiler

Compiled 869 to 652 computations (25% saved)

simplify121.0ms (1%)

Memory
-18.1MiB live, 176.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sinh.f64 y)
cost-diff0
(/.f64 (sinh.f64 y) y)
cost-diff0
(*.f64 (/.f64 (sinh.f64 y) y) x)
cost-diff0
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x))
cost-diff0
(/.f64 #s(literal 1/2 binary64) y)
cost-diff0
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
cost-diff0
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh 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
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh 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
(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
(*.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 (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.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) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.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 (+ (* (* y y) 1/6) 1) #s(literal 1 binary64))
cost-diff0
(*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x)
cost-diff0
#s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x))
cost-diff0
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x)))
cost-diff0
(sin.f64 x)
cost-diff0
(*.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)))
cost-diff0
#s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) (fma.f64 (*.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 y y) (sin.f64 x)))
cost-diff6400
(fma.f64 (*.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 y y) (sin.f64 x))
Rules
4 534×lower-*.f32
4 518×lower-*.f64
3 022×lower-fma.f32
3 006×lower-fma.f64
1 844×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065484
095464
1201454
2510432
31822427
46717427
08090421
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) (fma.f64 (*.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 y y) (sin.f64 x)))
(fma.f64 (*.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 y y) (sin.f64 x))
(*.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)))
(sin.f64 x)
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))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
#s(literal 1/5040 binary64)
(*.f64 y y)
y
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x)))
#s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x))
(*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x)
#s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
x
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.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)))))
#s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.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 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)))
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) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh 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 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh 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 (/.f64 #s(literal 1/2 binary64) y) x)
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
x
#s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh 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)
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
#s(literal 2 binary64)
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x))
(*.f64 (/.f64 (sinh.f64 y) y) x)
(/.f64 (sinh.f64 y) y)
(sinh.f64 y)
y
x
Outputs
#s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) (fma.f64 (*.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 y y) (sin.f64 x)))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) (sin.f64 x)))
(fma.f64 (*.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 y y) (sin.f64 x))
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) (sin.f64 x))
(*.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 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x))
(sin.f64 x)
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))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
#s(literal 1/5040 binary64)
(*.f64 y y)
y
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x)))
#s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x))
(*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x)
#s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
x
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.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)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.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)))
#s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.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))))
#s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.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))
(*.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 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) 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) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh 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) y)) (*.f64 #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh 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 (/.f64 #s(literal 1/2 binary64) y) x)))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh 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 (/ 1 (/ 2 (* 2 (* 2 (sinh 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 (/.f64 #s(literal 1/2 binary64) y) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
x
#s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh 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)
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
#s(literal 2 binary64)
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 x y) (sinh.f64 y)))
(*.f64 (/.f64 (sinh.f64 y) y) x)
(*.f64 (/.f64 x y) (sinh.f64 y))
(/.f64 (sinh.f64 y) y)
(sinh.f64 y)
y
x

localize443.0ms (3.8%)

Memory
4.5MiB live, 596.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 (sinh.f64 y) y)
accuracy0.0078125
(*.f64 (/.f64 (sinh.f64 y) y) x)
accuracy0.0078125
(sinh.f64 y)
accuracy13.951489439580012
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x))
accuracy0.125
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
accuracy0.30089751146910276
#s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh 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))
accuracy5.679194882746965
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh 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)))
accuracy13.951489439580012
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh 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))))
accuracy0.00390625
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))
accuracy0.0078125
(*.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)))
accuracy0.3429470213498055
#s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.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))))
accuracy13.951489439580012
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.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)))))
accuracy0.0078125
(*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x)
accuracy0.38167636463054755
#s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x))
accuracy0.552349974008615
#s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64))
accuracy13.951489439580012
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x)))
accuracy0.00390625
(fma.f64 (*.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 y y) (sin.f64 x))
accuracy0.00390625
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
accuracy0.18359375
(*.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)))
accuracy0.30141698258436467
#s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) (fma.f64 (*.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 y y) (sin.f64 x)))
Samples
257.0ms134×5exit
69.0ms74×1valid
52.0ms40×2valid
4.0ms0valid
Compiler

Compiled 320 to 59 computations (81.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 278.0ms
adjust: 71.0ms (25.6% of total)
ival-mult: 69.0ms (24.9% of total)
const: 35.0ms (12.6% of total)
ival-exp: 24.0ms (8.6% of total)
ival-add: 22.0ms (7.9% of total)
ival-sin: 19.0ms (6.8% of total)
ival-div: 16.0ms (5.8% of total)
ival-neg: 9.0ms (3.2% of total)
ival-pow2: 5.0ms (1.8% of total)
ival-sub: 4.0ms (1.4% of total)
ival-sinh: 2.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series47.0ms (0.4%)

Memory
31.9MiB live, 113.9MiB allocated
Counts
23 → 444
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.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 y y) (sin.f64 x)) (patch (fma.f64 (*.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 y y) (sin.f64 x)) #<representation:binary64>) () ())
#s(alt #s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) (fma.f64 (*.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 y y) (sin.f64 x))) (patch #s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) (fma.f64 (*.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 y y) (sin.f64 x))) #<representation:binary64>) () ())
#s(alt (*.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))) (patch (*.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))) #<representation:binary64>) () ())
#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation:binary64>) () ())
#s(alt #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x))) (patch #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x))) #<representation:binary64>) () ())
#s(alt #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x)) (patch #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x)) #<representation:binary64>) () ())
#s(alt (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x) #<representation:binary64>) () ())
#s(alt #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) #<representation:binary64>) () ())
#s(alt #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.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 #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.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 #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.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 #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.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 (*.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 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 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) #<representation:binary64>) () ())
#s(alt #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh 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 (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh 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 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh 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 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh 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 (/.f64 #s(literal 1/2 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #<representation:binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) y) (patch (/.f64 #s(literal 1/2 binary64) y) #<representation:binary64>) () ())
#s(alt #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x)) (patch #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x)) #<representation:binary64>) () ())
#s(alt (*.f64 (/.f64 (sinh.f64 y) y) x) (patch (*.f64 (/.f64 (sinh.f64 y) y) x) #<representation:binary64>) () ())
#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation:binary64>) () ())
#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation:binary64>) () ())
#s(alt (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (patch (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #<representation:binary64>) () ())
#s(alt (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) #<representation:binary64>) () ())
#s(alt #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh 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 (/ 1 (/ 2 (* 2 (* 2 (sinh 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>) () ())
Outputs
#s(alt (sin x) (taylor 0 y) (#s(alt (fma.f64 (*.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 y y) (sin.f64 x)) (patch (fma.f64 (*.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 y y) (sin.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) (taylor 0 y) (#s(alt (fma.f64 (*.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 y y) (sin.f64 x)) (patch (fma.f64 (*.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 y y) (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 (fma.f64 (*.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 y y) (sin.f64 x)) (patch (fma.f64 (*.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 y y) (sin.f64 x)) #<representation:binary64>) () ())) ())
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#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh 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 (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh 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 (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh 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 (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh 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 (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh 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 (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh 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 (* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh 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 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh 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 (* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh 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 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh 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 (* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh 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 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh 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 (* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh 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 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh 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 (* 1/2 (/ x y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x)) (patch #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x)) (patch #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x)) (patch #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x)) (patch #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (sinh.f64 y) y) x) (patch (*.f64 (/.f64 (sinh.f64 y) y) x) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (sinh.f64 y) y) x) (patch (*.f64 (/.f64 (sinh.f64 y) y) x) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (sinh.f64 y) y) x) (patch (*.f64 (/.f64 (sinh.f64 y) y) x) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (sinh.f64 y) y) x) (patch (*.f64 (/.f64 (sinh.f64 y) y) x) #<representation:binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
6.0ms
x
@0
((+ (* (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (* y y)) (sin x)) (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (sin x) (* (sin x) (/ (sinh y) y)) (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (* (+ (* (* y y) 1/6) 1) x) (+ (* (* y y) 1/6) 1) (* (sin x) (/ (sinh y) y)) (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (* x (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (* (sin x) (/ (sinh y) y)) (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (* (/ 1/2 y) x) (/ 1/2 y) (* (sin x) (/ (sinh y) y)) (* (/ (sinh y) y) x) (/ (sinh y) y) (sinh y) (+ (* 1/5040 (* y y)) 1/120) (+ (* 1/120 (* y y)) 1/6) (/ 1 (/ 2 (* 2 (* 2 (sinh y))))))
4.0ms
x
@-inf
((+ (* (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (* y y)) (sin x)) (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (sin x) (* (sin x) (/ (sinh y) y)) (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (* (+ (* (* y y) 1/6) 1) x) (+ (* (* y y) 1/6) 1) (* (sin x) (/ (sinh y) y)) (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (* x (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (* (sin x) (/ (sinh y) y)) (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (* (/ 1/2 y) x) (/ 1/2 y) (* (sin x) (/ (sinh y) y)) (* (/ (sinh y) y) x) (/ (sinh y) y) (sinh y) (+ (* 1/5040 (* y y)) 1/120) (+ (* 1/120 (* y y)) 1/6) (/ 1 (/ 2 (* 2 (* 2 (sinh y))))))
4.0ms
y
@inf
((+ (* (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (* y y)) (sin x)) (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (sin x) (* (sin x) (/ (sinh y) y)) (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (* (+ (* (* y y) 1/6) 1) x) (+ (* (* y y) 1/6) 1) (* (sin x) (/ (sinh y) y)) (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (* x (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (* (sin x) (/ (sinh y) y)) (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (* (/ 1/2 y) x) (/ 1/2 y) (* (sin x) (/ (sinh y) y)) (* (/ (sinh y) y) x) (/ (sinh y) y) (sinh y) (+ (* 1/5040 (* y y)) 1/120) (+ (* 1/120 (* y y)) 1/6) (/ 1 (/ 2 (* 2 (* 2 (sinh y))))))
4.0ms
x
@inf
((+ (* (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (* y y)) (sin x)) (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (sin x) (* (sin x) (/ (sinh y) y)) (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (* (+ (* (* y y) 1/6) 1) x) (+ (* (* y y) 1/6) 1) (* (sin x) (/ (sinh y) y)) (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (* x (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (* (sin x) (/ (sinh y) y)) (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (* (/ 1/2 y) x) (/ 1/2 y) (* (sin x) (/ (sinh y) y)) (* (/ (sinh y) y) x) (/ (sinh y) y) (sinh y) (+ (* 1/5040 (* y y)) 1/120) (+ (* 1/120 (* y y)) 1/6) (/ 1 (/ 2 (* 2 (* 2 (sinh y))))))
4.0ms
y
@-inf
((+ (* (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (* y y)) (sin x)) (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (sin x) (* (sin x) (/ (sinh y) y)) (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (* (+ (* (* y y) 1/6) 1) x) (+ (* (* y y) 1/6) 1) (* (sin x) (/ (sinh y) y)) (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (* x (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (* (sin x) (/ (sinh y) y)) (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (* (/ 1/2 y) x) (/ 1/2 y) (* (sin x) (/ (sinh y) y)) (* (/ (sinh y) y) x) (/ (sinh y) y) (sinh y) (+ (* 1/5040 (* y y)) 1/120) (+ (* 1/120 (* y y)) 1/6) (/ 1 (/ 2 (* 2 (* 2 (sinh y))))))

simplify248.0ms (2.1%)

Memory
-19.2MiB live, 338.0MiB allocated
Algorithm
egg-herbie
Rules
17 260×lower-fma.f64
17 260×lower-fma.f32
6 480×lower-+.f64
6 480×lower-+.f32
5 498×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02495965
18425766
226905386
371455354
082475055
Stop Event
iter limit
node limit
Counts
444 → 436
Calls
Call 1
Inputs
(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) (+ (* 1/6 (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) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))
(* 1/6 (sin x))
(+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))
(+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))
(+ (* 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) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))
x
(+ x (* 1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* 1/120 (* x (pow y 2))) (* 1/6 x))))
(+ x (* (pow y 2) (+ (* 1/6 x) (* (pow y 2) (+ (* 1/5040 (* x (pow y 2))) (* 1/120 x))))))
x
(+ x (* 1/6 (* x (pow y 2))))
(+ x (* 1/6 (* x (pow y 2))))
(+ x (* 1/6 (* x (pow y 2))))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* 1/6 (pow y 2)))
(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) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))
x
(+ x (* 1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* 1/120 (* x (pow y 2))) (* 1/6 x))))
(+ x (* (pow y 2) (+ (* 1/6 x) (* (pow y 2) (+ (* 1/5040 (* x (pow y 2))) (* 1/120 x))))))
x
(+ x (* 1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* 1/120 (* x (pow y 2))) (* 1/6 x))))
(+ x (* (pow y 2) (+ (* 1/120 (* x (pow y 2))) (* 1/6 x))))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(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) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))
x
(+ x (* 1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* 1/120 (* x (pow y 2))) (* 1/6 x))))
(+ x (* (pow y 2) (+ (* 1/6 x) (* (pow y 2) (+ (* 1/5040 (* x (pow y 2))) (* 1/120 x))))))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(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) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))
x
(+ x (* 1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* 1/120 (* x (pow y 2))) (* 1/6 x))))
(+ x (* (pow y 2) (+ (* 1/6 x) (* (pow y 2) (+ (* 1/5040 (* x (pow y 2))) (* 1/120 x))))))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
y
(* y (+ 1 (* 1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
1/120
(+ 1/120 (* 1/5040 (pow y 2)))
(+ 1/120 (* 1/5040 (pow y 2)))
(+ 1/120 (* 1/5040 (pow y 2)))
1/6
(+ 1/6 (* 1/120 (pow y 2)))
(+ 1/6 (* 1/120 (pow y 2)))
(+ 1/6 (* 1/120 (pow y 2)))
(* 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))))))))
(* 1/5040 (* (pow y 6) (sin x)))
(* (pow y 6) (+ (* 1/5040 (sin x)) (* 1/120 (/ (sin x) (pow y 2)))))
(* (pow y 6) (+ (* 1/5040 (sin x)) (+ (* 1/120 (/ (sin x) (pow y 2))) (* 1/6 (/ (sin x) (pow y 4))))))
(* (pow y 6) (+ (* 1/5040 (sin x)) (+ (* 1/120 (/ (sin x) (pow y 2))) (+ (* 1/6 (/ (sin x) (pow y 4))) (/ (sin x) (pow y 6))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/5040 (* (pow y 4) (sin x)))
(* (pow y 4) (+ (* 1/5040 (sin x)) (* 1/120 (/ (sin x) (pow y 2)))))
(* (pow y 4) (+ (* 1/5040 (sin x)) (+ (* 1/120 (/ (sin x) (pow y 2))) (* 1/6 (/ (sin x) (pow y 4))))))
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(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y))
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y))
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y))
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y))
(* x (+ 1 (* 1/6 (pow y 2))))
(* x (+ 1 (* 1/6 (pow y 2))))
(* x (+ 1 (* 1/6 (pow y 2))))
(* x (+ 1 (* 1/6 (pow y 2))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(* x (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(* x (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(* x (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(* x (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
Outputs
(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 (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 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 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (sin.f64 x))
(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 (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 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 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (sin.f64 x))
(* 1/6 (sin x))
(*.f64 #s(literal 1/6 binary64) (sin.f64 x))
(+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))
(*.f64 (sin.f64 x) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)))
(+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x))
(+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x))
(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 (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 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 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (sin.f64 x))
x
(+ x (* 1/6 (* x (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)
(+ x (* (pow y 2) (+ (* 1/120 (* x (pow y 2))) (* 1/6 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)) x)
(+ x (* (pow y 2) (+ (* 1/6 x) (* (pow y 2) (+ (* 1/5040 (* x (pow y 2))) (* 1/120 x))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
x
(+ x (* 1/6 (* x (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)
(+ x (* 1/6 (* x (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)
(+ x (* 1/6 (* x (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(+ 1 (* 1/6 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(+ 1 (* 1/6 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(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 (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 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 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (sin.f64 x))
x
(+ x (* 1/6 (* x (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)
(+ x (* (pow y 2) (+ (* 1/120 (* x (pow y 2))) (* 1/6 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)) x)
(+ x (* (pow y 2) (+ (* 1/6 x) (* (pow y 2) (+ (* 1/5040 (* x (pow y 2))) (* 1/120 x))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
x
(+ x (* 1/6 (* x (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)
(+ x (* (pow y 2) (+ (* 1/120 (* x (pow y 2))) (* 1/6 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)) x)
(+ x (* (pow y 2) (+ (* 1/120 (* x (pow y 2))) (* 1/6 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)) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(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 (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 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 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (sin.f64 x))
x
(+ x (* 1/6 (* x (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)
(+ x (* (pow y 2) (+ (* 1/120 (* x (pow y 2))) (* 1/6 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)) x)
(+ x (* (pow y 2) (+ (* 1/6 x) (* (pow y 2) (+ (* 1/5040 (* x (pow y 2))) (* 1/120 x))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
(* 1/2 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(* 1/2 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(* 1/2 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(* 1/2 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) 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 (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 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 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (sin.f64 x))
x
(+ x (* 1/6 (* x (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)
(+ x (* (pow y 2) (+ (* 1/120 (* x (pow y 2))) (* 1/6 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)) x)
(+ x (* (pow y 2) (+ (* 1/6 x) (* (pow y 2) (+ (* 1/5040 (* x (pow y 2))) (* 1/120 x))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
y
(* y (+ 1 (* 1/6 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) y)
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y)
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y)
1/120
#s(literal 1/120 binary64)
(+ 1/120 (* 1/5040 (pow y 2)))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
(+ 1/120 (* 1/5040 (pow y 2)))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
(+ 1/120 (* 1/5040 (pow y 2)))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/120 (pow y 2)))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))
(+ 1/6 (* 1/120 (pow y 2)))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))
(+ 1/6 (* 1/120 (pow y 2)))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))
(* 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)
(* 1/5040 (* (pow y 6) (sin x)))
(*.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/5040 binary64)) (sin.f64 x))
(* (pow y 6) (+ (* 1/5040 (sin x)) (* 1/120 (/ (sin x) (pow y 2)))))
(*.f64 (*.f64 (sin.f64 x) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64))) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (+ (* 1/5040 (sin x)) (+ (* 1/120 (/ (sin x) (pow y 2))) (* 1/6 (/ (sin x) (pow y 4))))))
(*.f64 (*.f64 (sin.f64 x) (+.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/120 binary64) (*.f64 y y)))) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (+ (* 1/5040 (sin x)) (+ (* 1/120 (/ (sin x) (pow y 2))) (+ (* 1/6 (/ (sin x) (pow y 4))) (/ (sin x) (pow y 6))))))
(*.f64 (fma.f64 (sin.f64 x) (+.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))) (/.f64 (sin.f64 x) (pow.f64 y #s(literal 6 binary64)))) (pow.f64 y #s(literal 6 binary64)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) y)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) y)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) y)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) y)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/5040 (* (pow y 4) (sin x)))
(*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/5040 binary64)) (sin.f64 x))
(* (pow y 4) (+ (* 1/5040 (sin x)) (* 1/120 (/ (sin x) (pow y 2)))))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (sin.f64 x) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64))))
(* (pow y 4) (+ (* 1/5040 (sin x)) (+ (* 1/120 (/ (sin x) (pow y 2))) (* 1/6 (/ (sin x) (pow y 4))))))
(*.f64 (*.f64 (sin.f64 x) (+.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/120 binary64) (*.f64 y y)))) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (+ (* 1/5040 (sin x)) (+ (* 1/120 (/ (sin x) (pow y 2))) (* 1/6 (/ (sin x) (pow y 4))))))
(*.f64 (*.f64 (sin.f64 x) (+.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/120 binary64) (*.f64 y y)))) (pow.f64 y #s(literal 4 binary64)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) y)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) y)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) y)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) y)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
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(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) y)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* 1/2 (/ (* x (- (exp y) (exp (neg y)))) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* x (+ 1 (* 1/6 (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)
(* x (+ 1 (* 1/6 (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)
(* x (+ 1 (* 1/6 (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)
(* x (+ 1 (* 1/6 (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) y)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) y)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) y)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) y)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* x (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(*.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)
(* x (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(*.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)
(* x (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(*.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)
(* x (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(*.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)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) y)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) y)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) y)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) y)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* 1/2 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(* 1/2 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(* 1/2 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(* 1/2 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) y)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) y)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) y)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) y)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))

rewrite200.0ms (1.7%)

Memory
11.1MiB live, 284.6MiB allocated
Rules
5 380×lower-*.f32
5 364×lower-*.f64
4 596×lower-/.f32
4 592×lower-/.f64
4 168×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065392
095368
1373358
22546335
09110331
Stop Event
iter limit
node limit
iter limit
Counts
23 → 521
Calls
Call 1
Inputs
(fma.f64 (*.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 y y) (sin.f64 x))
#s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) (fma.f64 (*.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 y y) (sin.f64 x)))
(*.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)))
(sin.f64 x)
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x)))
#s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x))
(*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x)
#s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.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)))))
#s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.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 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 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh 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 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh 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 (/.f64 #s(literal 1/2 binary64) y) x)
(/.f64 #s(literal 1/2 binary64) y)
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x))
(*.f64 (/.f64 (sinh.f64 y) y) x)
(/.f64 (sinh.f64 y) y)
(sinh.f64 y)
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))
#s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh 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))
Outputs
(*.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) (*.f64 y y) (neg.f64 (sin.f64 x))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (pow.f64 (-.f64 (hypot.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) (*.f64 y y)) (sin.f64 x)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) (*.f64 y y)) (sin.f64 x))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) (*.f64 y y) (neg.f64 (sin.f64 x))) (fma.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (hypot.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) (*.f64 y y)) (sin.f64 x)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) (*.f64 y y)) (sin.f64 x))) (fma.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) (*.f64 y y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (sin.f64 x) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) (*.f64 y y)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) (*.f64 y y) (neg.f64 (sin.f64 x))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (-.f64 (hypot.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) (*.f64 y y)) (sin.f64 x)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) (*.f64 y y)) (sin.f64 x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) (*.f64 y y)) #s(literal 2 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) (*.f64 y y) (neg.f64 (sin.f64 x)))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) (*.f64 y y) (neg.f64 (sin.f64 x))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) (*.f64 y y) (neg.f64 (sin.f64 x))) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) (*.f64 y y) (neg.f64 (sin.f64 x)))))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) (*.f64 y y)) #s(literal 2 binary64))) (-.f64 (sin.f64 x) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) (*.f64 y y))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) (neg.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) (*.f64 y y) (neg.f64 (sin.f64 x)))))
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(pow.f64 (/.f64 (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))) (fma.f64 #s(literal 1/128024064000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 #s(literal 1/25401600 binary64) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal -1/14400 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/128024064000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/25401600 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) #s(literal 1/14400 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))))
(/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 #s(literal 1/25401600 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal -1/14400 binary64))) (neg.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/128024064000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64))) (neg.f64 (+.f64 #s(literal 1/14400 binary64) (-.f64 (*.f64 #s(literal 1/25401600 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/128024064000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64))) (neg.f64 (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64))))))
(/.f64 (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal -1/14400 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))
(/.f64 (fma.f64 #s(literal 1/128024064000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64)) (+.f64 #s(literal 1/14400 binary64) (-.f64 (*.f64 #s(literal 1/25401600 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))
(/.f64 (fma.f64 #s(literal 1/128024064000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal -1/14400 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))) (fma.f64 #s(literal 1/128024064000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal -1/14400 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))) (fma.f64 #s(literal 1/128024064000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64))))
(fma.f64 (*.f64 y #s(literal 1/5040 binary64)) y #s(literal 1/120 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
(-.f64 (/.f64 #s(literal 1/14400 binary64) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) (/.f64 (*.f64 #s(literal 1/25401600 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))
(-.f64 (/.f64 (*.f64 #s(literal 1/25401600 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))))
(+.f64 (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))
(+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (pow.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal 1/216 binary64)) (pow.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64)))) (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal 1/216 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64)))) (neg.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 y y)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal 1/216 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) #s(literal 1/36 binary64))) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))))
(/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64))) (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64))) (neg.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal 1/216 binary64))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal 1/216 binary64))) (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)))
(/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 y y) #s(literal 1/720 binary64)))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal 1/216 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64)))) (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal 1/216 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64)))) (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal 1/216 binary64))))
(fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(fma.f64 y (*.f64 #s(literal 1/120 binary64) y) #s(literal 1/6 binary64))
(-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 y y)))) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 y y)))))
(-.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))))
(+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))
(+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 y y)))
#s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh 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))

eval152.0ms (1.3%)

Memory
10.5MiB live, 239.9MiB allocated
Compiler

Compiled 19 991 to 2 522 computations (87.4% saved)

prune183.0ms (1.6%)

Memory
-36.3MiB live, 105.6MiB allocated
Pruning

36 alts after pruning (31 fresh and 5 done)

PrunedKeptTotal
New96310973
Fresh12122
Picked235
Done123
Total967361 003
Accuracy
100.0%
Counts
1 003 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.9%
(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) y)
54.5%
(*.f64 (sin.f64 x) (*.f64 (/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 (*.f64 y y))) y))
71.8%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
88.3%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
27.1%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
58.0%
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
48.5%
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
71.8%
#s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) (fma.f64 #s(approx (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) (*.f64 y y) (sin.f64 x)))
61.5%
#s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) #s(approx (+ (* (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (* y y)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)))
26.8%
#s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) #s(approx (+ (* (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (* y y)) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y (fma.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)))
49.3%
#s(approx (* (sin x) (/ (sinh y) y)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (- (exp y) (exp (neg y))) (*.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))
66.0%
#s(approx (* (sin x) (/ (sinh y) y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)) y)))
49.3%
#s(approx (* (sin x) (/ (sinh y) y)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.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)) x))))
51.2%
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (- (exp y) (exp (neg y))) (*.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))))
66.1%
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x))
50.3%
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #s(approx (- (exp y) (exp (neg y))) (*.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))))
26.4%
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* 2 (* 2 (sinh y)))) (/.f64 (fma.f64 (fma.f64 #s(literal 7/720 binary64) (*.f64 y y) #s(literal -1/12 binary64)) (*.f64 y y) #s(literal 1/2 binary64)) y)))))
26.3%
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* 2 (* 2 (sinh y)))) (/.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y)))))
52.6%
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh 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))))
26.7%
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 #s(literal 2 binary64) y))))
62.2%
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh 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(literal 1/2 binary64) y)) x))
60.2%
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.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)) (/.f64 #s(literal 1/2 binary64) y)) x))
48.2%
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
53.7%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) x) x)))
55.9%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (*.f64 y x) x)))
60.4%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.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 y y) x)))
55.9%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y)) y x)))
59.5%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))))
59.5%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))))
59.4%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))))
48.3%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) x)))
24.9%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) x)))
26.9%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x)))
24.9%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)))))
35.7%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (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)))
32.0%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))
Compiler

Compiled 1 381 to 648 computations (53.1% saved)

regimes105.0ms (0.9%)

Memory
6.4MiB live, 80.8MiB allocated
Counts
51 → 1
Calls
Call 1
Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 #s(literal 2 binary64) y))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 #s(literal 2 binary64) y))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.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)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y)) y x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (*.f64 y x) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) x) x)))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.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 y y) x)))
#s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) #s(approx (+ (* (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (* y y)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.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)) (/.f64 #s(literal 1/2 binary64) y)) x))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.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))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (- (exp y) (exp (neg y))) (*.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))))
#s(approx (* (sin x) (/ (sinh y) y)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (- (exp y) (exp (neg y))) (*.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))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* 2 (* 2 (sinh y)))) (/.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y)))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh 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(literal 1/2 binary64) y)) x))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #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 (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh 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) y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #s(approx (- (exp y) (exp (neg y))) (*.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))))
#s(approx (* (sin x) (/ (sinh y) y)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.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)) x))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* 2 (* 2 (sinh y)))) (/.f64 (fma.f64 (fma.f64 #s(literal 7/720 binary64) (*.f64 y y) #s(literal -1/12 binary64)) (*.f64 y y) #s(literal 1/2 binary64)) y)))))
#s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) #s(approx (+ (* (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (* y y)) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y (fma.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)))
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (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)))
#s(approx (* (sin x) (/ (sinh y) y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)) y)))
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))))))
#s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) (fma.f64 #s(approx (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) (*.f64 y y) (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) y)
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (sin.f64 x) (*.f64 (/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 (*.f64 y y))) y))
#s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) (fma.f64 (*.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 y y) (sin.f64 x)))
(/.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))) (sinh.f64 y))
Outputs
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Calls

5 calls:

35.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
25.0ms
x
15.0ms
(sin.f64 x)
15.0ms
y
12.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
100.0%1(sin.f64 x)
100.0%1(/.f64 (sinh.f64 y) y)
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes77.0ms (0.7%)

Memory
30.6MiB live, 72.7MiB allocated
Counts
45 → 2
Calls
Call 1
Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 #s(literal 2 binary64) y))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 #s(literal 2 binary64) y))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.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)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y)) y x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (*.f64 y x) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) x) x)))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.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 y y) x)))
#s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) #s(approx (+ (* (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (* y y)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.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)) (/.f64 #s(literal 1/2 binary64) y)) x))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.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))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (- (exp y) (exp (neg y))) (*.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))))
#s(approx (* (sin x) (/ (sinh y) y)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (- (exp y) (exp (neg y))) (*.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))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* 2 (* 2 (sinh y)))) (/.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y)))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh 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(literal 1/2 binary64) y)) x))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #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 (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh 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) y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #s(approx (- (exp y) (exp (neg y))) (*.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))))
#s(approx (* (sin x) (/ (sinh y) y)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.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)) x))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* 2 (* 2 (sinh y)))) (/.f64 (fma.f64 (fma.f64 #s(literal 7/720 binary64) (*.f64 y y) #s(literal -1/12 binary64)) (*.f64 y y) #s(literal 1/2 binary64)) y)))))
#s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) #s(approx (+ (* (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (* y y)) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y (fma.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)))
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (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)))
#s(approx (* (sin x) (/ (sinh y) y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)) y)))
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))))))
#s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) (fma.f64 #s(approx (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) (*.f64 y y) (sin.f64 x)))
Outputs
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x))
Calls

5 calls:

26.0ms
(sin.f64 x)
13.0ms
x
13.0ms
y
12.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
10.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
97.0%2x
98.8%3y
98.8%2(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
96.7%3(sin.f64 x)
92.4%1(/.f64 (sinh.f64 y) y)
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes39.0ms (0.3%)

Memory
-26.0MiB live, 12.7MiB allocated
Counts
42 → 2
Calls
Call 1
Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 #s(literal 2 binary64) y))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 #s(literal 2 binary64) y))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.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)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y)) y x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (*.f64 y x) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) x) x)))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.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 y y) x)))
#s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) #s(approx (+ (* (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (* y y)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.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)) (/.f64 #s(literal 1/2 binary64) y)) x))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.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))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (- (exp y) (exp (neg y))) (*.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))))
#s(approx (* (sin x) (/ (sinh y) y)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (- (exp y) (exp (neg y))) (*.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))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* 2 (* 2 (sinh y)))) (/.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y)))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh 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(literal 1/2 binary64) y)) x))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #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 (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh 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) y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #s(approx (- (exp y) (exp (neg y))) (*.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))))
#s(approx (* (sin x) (/ (sinh y) y)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.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)) x))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* 2 (* 2 (sinh y)))) (/.f64 (fma.f64 (fma.f64 #s(literal 7/720 binary64) (*.f64 y y) #s(literal -1/12 binary64)) (*.f64 y y) #s(literal 1/2 binary64)) y)))))
#s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) #s(approx (+ (* (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (* y y)) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y (fma.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)))
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (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)))
#s(approx (* (sin x) (/ (sinh y) y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)) y)))
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
Outputs
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x))
Calls

1 calls:

11.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
98.6%2(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes13.0ms (0.1%)

Memory
11.8MiB live, 11.8MiB allocated
Counts
41 → 3
Calls
Call 1
Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 #s(literal 2 binary64) y))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 #s(literal 2 binary64) y))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.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)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y)) y x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (*.f64 y x) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) x) x)))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.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 y y) x)))
#s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) #s(approx (+ (* (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (* y y)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.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)) (/.f64 #s(literal 1/2 binary64) y)) x))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.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))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (- (exp y) (exp (neg y))) (*.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))))
#s(approx (* (sin x) (/ (sinh y) y)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (- (exp y) (exp (neg y))) (*.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))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* 2 (* 2 (sinh y)))) (/.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y)))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh 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(literal 1/2 binary64) y)) x))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #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 (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh 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) y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #s(approx (- (exp y) (exp (neg y))) (*.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))))
#s(approx (* (sin x) (/ (sinh y) y)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.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)) x))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* 2 (* 2 (sinh y)))) (/.f64 (fma.f64 (fma.f64 #s(literal 7/720 binary64) (*.f64 y y) #s(literal -1/12 binary64)) (*.f64 y y) #s(literal 1/2 binary64)) y)))))
#s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) #s(approx (+ (* (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (* y y)) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y (fma.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)))
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (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)))
#s(approx (* (sin x) (/ (sinh y) y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)) y)))
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x))
Calls

1 calls:

11.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
99.1%3(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes49.0ms (0.4%)

Memory
-14.4MiB live, 24.1MiB allocated
Counts
40 → 2
Calls
Call 1
Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 #s(literal 2 binary64) y))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 #s(literal 2 binary64) y))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.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)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y)) y x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (*.f64 y x) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) x) x)))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.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 y y) x)))
#s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) #s(approx (+ (* (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (* y y)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.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)) (/.f64 #s(literal 1/2 binary64) y)) x))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.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))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (- (exp y) (exp (neg y))) (*.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))))
#s(approx (* (sin x) (/ (sinh y) y)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (- (exp y) (exp (neg y))) (*.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))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* 2 (* 2 (sinh y)))) (/.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y)))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh 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(literal 1/2 binary64) y)) x))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #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 (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh 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) y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #s(approx (- (exp y) (exp (neg y))) (*.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))))
#s(approx (* (sin x) (/ (sinh y) y)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.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)) x))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* 2 (* 2 (sinh y)))) (/.f64 (fma.f64 (fma.f64 #s(literal 7/720 binary64) (*.f64 y y) #s(literal -1/12 binary64)) (*.f64 y y) #s(literal 1/2 binary64)) y)))))
#s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) #s(approx (+ (* (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (* y y)) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y (fma.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)))
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (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)))
#s(approx (* (sin x) (/ (sinh y) y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)) y)))
Outputs
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x))
Calls

2 calls:

36.0ms
y
11.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
97.3%3y
97.3%2(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 8 to 8 computations (0% saved)

regimes38.0ms (0.3%)

Memory
-4.4MiB live, 32.6MiB allocated
Counts
37 → 2
Calls
Call 1
Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 #s(literal 2 binary64) y))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 #s(literal 2 binary64) y))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.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)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y)) y x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (*.f64 y x) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) x) x)))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.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 y y) x)))
#s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) #s(approx (+ (* (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (* y y)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.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)) (/.f64 #s(literal 1/2 binary64) y)) x))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.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))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (- (exp y) (exp (neg y))) (*.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))))
#s(approx (* (sin x) (/ (sinh y) y)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (- (exp y) (exp (neg y))) (*.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))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* 2 (* 2 (sinh y)))) (/.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y)))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh 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(literal 1/2 binary64) y)) x))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #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 (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh 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) y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #s(approx (- (exp y) (exp (neg y))) (*.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))))
#s(approx (* (sin x) (/ (sinh y) y)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.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)) x))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* 2 (* 2 (sinh y)))) (/.f64 (fma.f64 (fma.f64 #s(literal 7/720 binary64) (*.f64 y y) #s(literal -1/12 binary64)) (*.f64 y y) #s(literal 1/2 binary64)) y)))))
#s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) #s(approx (+ (* (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (* y y)) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y (fma.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)))
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
Outputs
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x))
Calls

2 calls:

11.0ms
x
10.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
95.0%2x
96.9%2(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 8 to 8 computations (0% saved)

regimes12.0ms (0.1%)

Memory
16.7MiB live, 16.7MiB allocated
Counts
36 → 3
Calls
Call 1
Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 #s(literal 2 binary64) y))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 #s(literal 2 binary64) y))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.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)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y)) y x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (*.f64 y x) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) x) x)))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.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 y y) x)))
#s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) #s(approx (+ (* (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (* y y)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.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)) (/.f64 #s(literal 1/2 binary64) y)) x))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.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))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (- (exp y) (exp (neg y))) (*.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))))
#s(approx (* (sin x) (/ (sinh y) y)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (- (exp y) (exp (neg y))) (*.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))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* 2 (* 2 (sinh y)))) (/.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y)))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh 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(literal 1/2 binary64) y)) x))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #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 (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh 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) y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #s(approx (- (exp y) (exp (neg y))) (*.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))))
#s(approx (* (sin x) (/ (sinh y) y)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.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)) x))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* 2 (* 2 (sinh y)))) (/.f64 (fma.f64 (fma.f64 #s(literal 7/720 binary64) (*.f64 y y) #s(literal -1/12 binary64)) (*.f64 y y) #s(literal 1/2 binary64)) y)))))
#s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) #s(approx (+ (* (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (* y y)) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y (fma.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)))
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x))
Calls

1 calls:

10.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
98.3%3(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes88.0ms (0.8%)

Memory
1.1MiB live, 79.0MiB allocated
Counts
35 → 2
Calls
Call 1
Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 #s(literal 2 binary64) y))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 #s(literal 2 binary64) y))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.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)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y)) y x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (*.f64 y x) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) x) x)))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.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 y y) x)))
#s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) #s(approx (+ (* (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (* y y)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.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)) (/.f64 #s(literal 1/2 binary64) y)) x))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.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))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (- (exp y) (exp (neg y))) (*.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))))
#s(approx (* (sin x) (/ (sinh y) y)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (- (exp y) (exp (neg y))) (*.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))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* 2 (* 2 (sinh y)))) (/.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y)))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh 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(literal 1/2 binary64) y)) x))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #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 (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh 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) y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #s(approx (- (exp y) (exp (neg y))) (*.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))))
#s(approx (* (sin x) (/ (sinh y) y)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.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)) x))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* 2 (* 2 (sinh y)))) (/.f64 (fma.f64 (fma.f64 #s(literal 7/720 binary64) (*.f64 y y) #s(literal -1/12 binary64)) (*.f64 y y) #s(literal 1/2 binary64)) y)))))
#s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) #s(approx (+ (* (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (* y y)) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y (fma.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)))
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
Outputs
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x))
Calls

5 calls:

30.0ms
(/.f64 (sinh.f64 y) y)
24.0ms
y
11.0ms
(sin.f64 x)
11.0ms
x
10.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
87.5%2(/.f64 (sinh.f64 y) y)
87.1%2x
87.1%3(sin.f64 x)
93.0%3y
93.1%2(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes11.0ms (0.1%)

Memory
20.7MiB live, 20.7MiB allocated
Counts
34 → 3
Calls
Call 1
Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 #s(literal 2 binary64) y))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 #s(literal 2 binary64) y))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.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)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y)) y x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (*.f64 y x) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) x) x)))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.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 y y) x)))
#s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) #s(approx (+ (* (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (* y y)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.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)) (/.f64 #s(literal 1/2 binary64) y)) x))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.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))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (- (exp y) (exp (neg y))) (*.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))))
#s(approx (* (sin x) (/ (sinh y) y)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (- (exp y) (exp (neg y))) (*.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))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* 2 (* 2 (sinh y)))) (/.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y)))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh 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(literal 1/2 binary64) y)) x))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #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 (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh 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) y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #s(approx (- (exp y) (exp (neg y))) (*.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))))
#s(approx (* (sin x) (/ (sinh y) y)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.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)) x))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* 2 (* 2 (sinh y)))) (/.f64 (fma.f64 (fma.f64 #s(literal 7/720 binary64) (*.f64 y y) #s(literal -1/12 binary64)) (*.f64 y y) #s(literal 1/2 binary64)) y)))))
#s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) #s(approx (+ (* (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (* y y)) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y (fma.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)))
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x))
Outputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x))
Calls

1 calls:

9.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
93.2%3(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes28.0ms (0.2%)

Memory
-0.6MiB live, 36.7MiB allocated
Counts
33 → 3
Calls
Call 1
Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 #s(literal 2 binary64) y))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 #s(literal 2 binary64) y))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.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)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y)) y x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (*.f64 y x) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) x) x)))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.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 y y) x)))
#s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) #s(approx (+ (* (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (* y y)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.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)) (/.f64 #s(literal 1/2 binary64) y)) x))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.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))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (- (exp y) (exp (neg y))) (*.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))))
#s(approx (* (sin x) (/ (sinh y) y)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (- (exp y) (exp (neg y))) (*.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))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* 2 (* 2 (sinh y)))) (/.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y)))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh 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(literal 1/2 binary64) y)) x))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #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 (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh 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) y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #s(approx (- (exp y) (exp (neg y))) (*.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))))
#s(approx (* (sin x) (/ (sinh y) y)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.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)) x))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* 2 (* 2 (sinh y)))) (/.f64 (fma.f64 (fma.f64 #s(literal 7/720 binary64) (*.f64 y y) #s(literal -1/12 binary64)) (*.f64 y y) #s(literal 1/2 binary64)) y)))))
#s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) #s(approx (+ (* (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (* y y)) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y (fma.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)))
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
Outputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh 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(literal 1/2 binary64) y)) x))
Calls

2 calls:

17.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
10.0ms
y
Results
AccuracySegmentsBranch
88.9%3y
89.4%3(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 8 to 8 computations (0% saved)

regimes142.0ms (1.2%)

Memory
-23.3MiB live, 96.2MiB allocated
Counts
31 → 2
Calls
Call 1
Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 #s(literal 2 binary64) y))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 #s(literal 2 binary64) y))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.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)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y)) y x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (*.f64 y x) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) x) x)))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.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 y y) x)))
#s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) #s(approx (+ (* (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (* y y)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.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)) (/.f64 #s(literal 1/2 binary64) y)) x))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.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))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (- (exp y) (exp (neg y))) (*.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))))
#s(approx (* (sin x) (/ (sinh y) y)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (- (exp y) (exp (neg y))) (*.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))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* 2 (* 2 (sinh y)))) (/.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y)))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh 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(literal 1/2 binary64) y)) x))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #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 (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh 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) y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #s(approx (- (exp y) (exp (neg y))) (*.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))))
#s(approx (* (sin x) (/ (sinh y) y)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.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)) x))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* 2 (* 2 (sinh y)))) (/.f64 (fma.f64 (fma.f64 #s(literal 7/720 binary64) (*.f64 y y) #s(literal -1/12 binary64)) (*.f64 y y) #s(literal 1/2 binary64)) y)))))
#s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) #s(approx (+ (* (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (* y y)) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y (fma.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)))
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
Outputs
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh 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(literal 1/2 binary64) y)) x))
Calls

5 calls:

48.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
38.0ms
y
37.0ms
(sin.f64 x)
9.0ms
x
7.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
77.0%4(sin.f64 x)
71.3%2x
83.4%2y
83.4%2(/.f64 (sinh.f64 y) y)
83.6%2(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes66.0ms (0.6%)

Memory
29.4MiB live, 68.2MiB allocated
Counts
30 → 1
Calls
Call 1
Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 #s(literal 2 binary64) y))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 #s(literal 2 binary64) y))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.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)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y)) y x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (*.f64 y x) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) x) x)))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.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 y y) x)))
#s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) #s(approx (+ (* (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (* y y)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.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)) (/.f64 #s(literal 1/2 binary64) y)) x))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.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))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (- (exp y) (exp (neg y))) (*.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))))
#s(approx (* (sin x) (/ (sinh y) y)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (- (exp y) (exp (neg y))) (*.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))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* 2 (* 2 (sinh y)))) (/.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y)))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh 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(literal 1/2 binary64) y)) x))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #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 (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh 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) y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #s(approx (- (exp y) (exp (neg y))) (*.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))))
#s(approx (* (sin x) (/ (sinh y) y)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.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)) x))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* 2 (* 2 (sinh y)))) (/.f64 (fma.f64 (fma.f64 #s(literal 7/720 binary64) (*.f64 y y) #s(literal -1/12 binary64)) (*.f64 y y) #s(literal 1/2 binary64)) y)))))
#s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) #s(approx (+ (* (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (* y y)) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y (fma.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)))
Outputs
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh 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(literal 1/2 binary64) y)) x))
Calls

5 calls:

30.0ms
y
9.0ms
(sin.f64 x)
9.0ms
x
8.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
7.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
62.2%1x
62.2%1(sin.f64 x)
62.2%1y
62.2%1(/.f64 (sinh.f64 y) y)
62.2%1(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes72.0ms (0.6%)

Memory
-1.4MiB live, 37.5MiB allocated
Counts
23 → 1
Calls
Call 1
Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 #s(literal 2 binary64) y))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 #s(literal 2 binary64) y))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.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)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y)) y x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (*.f64 y x) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) x) x)))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.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 y y) x)))
#s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) #s(approx (+ (* (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (* y y)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.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)) (/.f64 #s(literal 1/2 binary64) y)) x))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.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))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (- (exp y) (exp (neg y))) (*.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))))
#s(approx (* (sin x) (/ (sinh y) y)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (- (exp y) (exp (neg y))) (*.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))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* 2 (* 2 (sinh y)))) (/.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y)))))
Outputs
#s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) #s(approx (+ (* (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (* y y)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)))
Calls

5 calls:

42.0ms
(/.f64 (sinh.f64 y) y)
7.0ms
(sin.f64 x)
7.0ms
x
7.0ms
y
7.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
61.5%1(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
61.5%1(sin.f64 x)
61.5%1x
61.5%1y
61.5%1(/.f64 (sinh.f64 y) y)
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes42.0ms (0.4%)

Memory
-22.3MiB live, 33.3MiB allocated
Counts
17 → 1
Calls
Call 1
Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 #s(literal 2 binary64) y))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 #s(literal 2 binary64) y))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.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)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y)) y x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (*.f64 y x) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) x) x)))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.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 y y) x)))
Outputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.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 y y) x)))
Calls

5 calls:

19.0ms
(/.f64 (sinh.f64 y) y)
6.0ms
x
6.0ms
(sin.f64 x)
6.0ms
y
5.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
60.4%1(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
60.4%1(sin.f64 x)
60.4%1x
60.4%1y
60.4%1(/.f64 (sinh.f64 y) y)
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes43.0ms (0.4%)

Memory
0.9MiB live, 38.4MiB allocated
Counts
16 → 1
Calls
Call 1
Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 #s(literal 2 binary64) y))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 #s(literal 2 binary64) y))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.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)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y)) y x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (*.f64 y x) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) x) x)))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y))))
Outputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))))
Calls

5 calls:

22.0ms
y
5.0ms
(sin.f64 x)
5.0ms
x
5.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
4.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
59.5%1(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
59.5%1(sin.f64 x)
59.5%1x
59.5%1y
59.5%1(/.f64 (sinh.f64 y) y)
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes44.0ms (0.4%)

Memory
-14.1MiB live, 23.0MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (- (exp y) (exp (neg y))) (*.f64 #s(literal 2 binary64) y))))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh y))))) (*.f64 #s(literal 2 binary64) y))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) x)))
Outputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))))
Calls

5 calls:

30.0ms
(sin.f64 x)
4.0ms
x
3.0ms
y
3.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
3.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
59.4%1(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
59.4%1(sin.f64 x)
59.4%1x
59.4%1(/.f64 (sinh.f64 y) y)
59.4%1y
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes12.0ms (0.1%)

Memory
13.9MiB live, 13.9MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)))
Outputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) x)))
Calls

5 calls:

2.0ms
(sin.f64 x)
2.0ms
x
2.0ms
y
2.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
2.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
48.3%1(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
48.3%1(sin.f64 x)
48.3%1x
48.3%1(/.f64 (sinh.f64 y) y)
48.3%1y
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes9.0ms (0.1%)

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

5 calls:

2.0ms
x
2.0ms
(sin.f64 x)
2.0ms
y
2.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
1.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
48.2%2(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
37.7%2(sin.f64 x)
48.2%2y
48.2%2(/.f64 (sinh.f64 y) y)
37.8%2x
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes76.0ms (0.7%)

Memory
-23.9MiB live, 13.6MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

5 calls:

71.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
1.0ms
y
1.0ms
(sin.f64 x)
1.0ms
x
1.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
26.9%1(sin.f64 x)
26.9%1x
26.9%1(/.f64 (sinh.f64 y) y)
26.9%1y
26.9%1(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 15 to 17 computations (-13.3% saved)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
9.891707437682115e+131
+inf
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
9.891707437682115e+131
+inf
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
9.891707437682115e+131
+inf
0.0ms
-inf
-0.9995174073405032
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
9.891707437682115e+131
+inf
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
9.891707437682115e+131
+inf
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
9.891707437682115e+131
+inf
0.0ms
-inf
-0.9995174073405032
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
9.891707437682115e+131
+inf
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
9.891707437682115e+131
+inf
0.0ms
-inf
-0.9995174073405032
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
0.9993870069489142
9.891707437682115e+131
0.0ms
-inf
-0.9995174073405032
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9993870069489142
9.891707437682115e+131
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9780540702804412
0.9934276390974162
Compiler

Compiled 10 to 11 computations (-10% saved)

simplify78.0ms (0.7%)

Memory
-17.8MiB live, 29.7MiB allocated
Algorithm
egg-herbie
Rules
48×*-commutative-binary64-*.f64
1-exp-binary32-exp.f32
1-exp-binary64-exp.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0142970
1169970
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 999999999999999990829567402361276563686608849982484911984092226517669151665599636201042933986541570369602253175829982724989462249472 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x)))
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 999999999999999990829567402361276563686608849982484911984092226517669151665599636201042933986541570369602253175829982724989462249472 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x)))
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 999999999999999990829567402361276563686608849982484911984092226517669151665599636201042933986541570369602253175829982724989462249472 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x))))
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 999999999999999990829567402361276563686608849982484911984092226517669151665599636201042933986541570369602253175829982724989462249472 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x)))
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 999999999999999990829567402361276563686608849982484911984092226517669151665599636201042933986541570369602253175829982724989462249472 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x)))
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 999999999999999990829567402361276563686608849982484911984092226517669151665599636201042933986541570369602253175829982724989462249472 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x))))
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 999999999999999990829567402361276563686608849982484911984092226517669151665599636201042933986541570369602253175829982724989462249472 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x)))
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) (if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 999999999999999990829567402361276563686608849982484911984092226517669151665599636201042933986541570369602253175829982724989462249472 binary64)) #s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x))))
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) (if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64)) #s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh 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(literal 1/2 binary64) y)) x))))
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64)) #s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh 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(literal 1/2 binary64) y)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh 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(literal 1/2 binary64) y)) x))
#s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) #s(approx (+ (* (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (* y y)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.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 y y) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) x)))
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2206763817411543/2251799813685248 binary64)) #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x))) #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x)))
Outputs
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x))
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 999999999999999990829567402361276563686608849982484911984092226517669151665599636201042933986541570369602253175829982724989462249472 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x)))
(if (<=.f64 (*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x)) #s(literal 999999999999999990829567402361276563686608849982484911984092226517669151665599636201042933986541570369602253175829982724989462249472 binary64)) (*.f64 #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (sin.f64 x)) #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x)))
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 999999999999999990829567402361276563686608849982484911984092226517669151665599636201042933986541570369602253175829982724989462249472 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x)))
(if (<=.f64 (*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x)) #s(literal 999999999999999990829567402361276563686608849982484911984092226517669151665599636201042933986541570369602253175829982724989462249472 binary64)) (*.f64 #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 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) y)) (*.f64 (/.f64 (sinh.f64 y) y) x)))
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 999999999999999990829567402361276563686608849982484911984092226517669151665599636201042933986541570369602253175829982724989462249472 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x))))
(if (<=.f64 (*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) (if (<=.f64 (*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x)) #s(literal 999999999999999990829567402361276563686608849982484911984092226517669151665599636201042933986541570369602253175829982724989462249472 binary64)) (*.f64 #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (sin.f64 x)) #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x))))
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 999999999999999990829567402361276563686608849982484911984092226517669151665599636201042933986541570369602253175829982724989462249472 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x)))
(if (<=.f64 (*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x)) #s(literal 999999999999999990829567402361276563686608849982484911984092226517669151665599636201042933986541570369602253175829982724989462249472 binary64)) (*.f64 #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (sin.f64 x)) #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x)))
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 999999999999999990829567402361276563686608849982484911984092226517669151665599636201042933986541570369602253175829982724989462249472 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x)))
(if (<=.f64 (*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x)) #s(literal 999999999999999990829567402361276563686608849982484911984092226517669151665599636201042933986541570369602253175829982724989462249472 binary64)) (*.f64 #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) (sin.f64 x)) #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x)))
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 999999999999999990829567402361276563686608849982484911984092226517669151665599636201042933986541570369602253175829982724989462249472 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x))))
(if (<=.f64 (*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) (if (<=.f64 (*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x)) #s(literal 999999999999999990829567402361276563686608849982484911984092226517669151665599636201042933986541570369602253175829982724989462249472 binary64)) (*.f64 #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) (sin.f64 x)) #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x))))
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 999999999999999990829567402361276563686608849982484911984092226517669151665599636201042933986541570369602253175829982724989462249472 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x)))
(if (<=.f64 (*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x)) #s(literal 999999999999999990829567402361276563686608849982484911984092226517669151665599636201042933986541570369602253175829982724989462249472 binary64)) (*.f64 #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) (sin.f64 x)) #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x)))
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) (if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 999999999999999990829567402361276563686608849982484911984092226517669151665599636201042933986541570369602253175829982724989462249472 binary64)) #s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x))))
(if (<=.f64 (*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x)) #s(literal -inf.0 binary64)) #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) (if (<=.f64 (*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x)) #s(literal 999999999999999990829567402361276563686608849982484911984092226517669151665599636201042933986541570369602253175829982724989462249472 binary64)) #s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (/.f64 (sinh.f64 y) y) x))))
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) (if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64)) #s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh 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(literal 1/2 binary64) y)) x))))
(if (<=.f64 (*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x)) #s(literal -inf.0 binary64)) #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) (if (<=.f64 (*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x)) #s(literal 1 binary64)) #s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh 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))) x))))
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64)) #s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh 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(literal 1/2 binary64) y)) x)))
(if (<=.f64 (*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x)) #s(literal 1 binary64)) #s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) #s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh 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))) x)))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh 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(literal 1/2 binary64) y)) x))
#s(approx (* (sin x) (/ (sinh y) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) #s(approx (/ 1 (/ 2 (* 2 (* 2 (sinh 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))) x))
#s(approx (/ (* (/ (neg (sin x)) y) (neg (pow (sinh y) 2))) (sinh y)) #s(approx (+ (* (* (sin x) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6)) (* y y)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.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 y y) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) x) (*.f64 y y) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 x (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (/ 1 (/ 2 (* 2 (* 2 (sinh y)))))) (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* y y)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) x)))
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2206763817411543/2251799813685248 binary64)) #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x))) #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64))))))
(if (<=.f64 (*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x)) #s(literal 2206763817411543/2251799813685248 binary64)) #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x))) #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) #s(approx (* (+ (* (* y y) 1/6) 1) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (* (* (/ 1/2 y) x) (- (exp y) (exp (neg y)))) (*.f64 #s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) x)))

soundness2.3s (19.5%)

Memory
60.9MiB live, 1 691.0MiB allocated
Rules
17 260×lower-fma.f64
17 260×lower-fma.f32
16 234×lower-fma.f64
16 234×lower-fma.f32
15 526×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
01015
12615
212115
387015
0838415
02654238
18384196
224493933
353133921
473843921
080513745
065392
095368
1373358
22546335
09110331
02495965
18425766
226905386
371455354
082475055
02024390
16024355
216704139
345794093
087023926
039223
067217
1225217
21478200
08426200
092700
1288693
2903643
33157635
47386635
08545605
053346
079320
1263312
21650296
08249292
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 1 240 to 695 computations (44% saved)

preprocess585.0ms (5%)

Memory
-176.7MiB live, 359.7MiB allocated
Remove

(negabs x)

(abs y)

Compiler

Compiled 1 298 to 370 computations (71.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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